%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : ALG043+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 : n017.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Aug 30 16:35:49 EDT 2023 % Result : Theorem 6.12s 1.53s % Output : Proof 12.09s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : ALG043+1 : TPTP v8.1.2. Released v2.7.0. % 0.07/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.14/0.34 % Computer : n017.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 300 % 0.14/0.34 % DateTime : Mon Aug 28 02:59:12 EDT 2023 % 0.14/0.35 % CPUTime : % 0.21/0.61 ________ _____ % 0.21/0.61 ___ __ \_________(_)________________________________ % 0.21/0.61 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.21/0.61 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.21/0.61 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.21/0.61 % 0.21/0.61 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.21/0.61 (2023-06-19) % 0.21/0.61 % 0.21/0.61 (c) Philipp Rümmer, 2009-2023 % 0.21/0.61 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.21/0.61 Amanda Stjerna. % 0.21/0.61 Free software under BSD-3-Clause. % 0.21/0.61 % 0.21/0.61 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.21/0.61 % 0.21/0.61 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.21/0.62 Running up to 7 provers in parallel. % 0.21/0.64 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.21/0.64 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.21/0.64 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.21/0.64 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.21/0.64 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.21/0.64 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.21/0.64 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 3.50/1.17 Prover 1: Preprocessing ... % 3.50/1.17 Prover 4: Preprocessing ... % 3.50/1.22 Prover 6: Preprocessing ... % 3.50/1.22 Prover 5: Preprocessing ... % 3.50/1.22 Prover 0: Preprocessing ... % 3.50/1.22 Prover 2: Preprocessing ... % 3.50/1.22 Prover 3: Preprocessing ... % 5.44/1.50 Prover 3: Constructing countermodel ... % 5.44/1.50 Prover 2: Constructing countermodel ... % 5.44/1.50 Prover 1: Constructing countermodel ... % 5.44/1.50 Prover 4: Constructing countermodel ... % 6.12/1.53 Prover 2: proved (897ms) % 6.12/1.53 % 6.12/1.53 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 6.12/1.53 % 6.12/1.54 Prover 3: proved (894ms) % 6.12/1.54 % 6.12/1.54 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 6.12/1.54 % 6.12/1.54 Prover 0: Constructing countermodel ... % 6.12/1.54 Prover 0: stopped % 6.12/1.54 Prover 5: Constructing countermodel ... % 6.12/1.54 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 6.12/1.54 Prover 5: stopped % 6.12/1.54 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 6.12/1.54 Prover 6: Constructing countermodel ... % 6.12/1.54 Prover 6: stopped % 6.12/1.55 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 6.12/1.55 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 6.12/1.55 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 7.31/1.70 Prover 8: Preprocessing ... % 7.49/1.71 Prover 7: Preprocessing ... % 7.59/1.72 Prover 10: Preprocessing ... % 7.59/1.74 Prover 13: Preprocessing ... % 7.59/1.75 Prover 11: Preprocessing ... % 7.59/1.76 Prover 8: Constructing countermodel ... % 8.30/1.83 Prover 13: Constructing countermodel ... % 8.30/1.86 Prover 7: Constructing countermodel ... % 8.90/1.92 Prover 10: Constructing countermodel ... % 8.90/1.93 Prover 11: Constructing countermodel ... % 10.70/2.16 Prover 4: Found proof (size 286) % 10.70/2.16 Prover 4: proved (1524ms) % 10.70/2.16 Prover 11: stopped % 10.70/2.16 Prover 7: stopped % 10.70/2.16 Prover 13: stopped % 10.70/2.16 Prover 10: stopped % 10.70/2.16 Prover 1: Found proof (size 286) % 10.70/2.16 Prover 1: proved (1532ms) % 10.70/2.16 Prover 8: stopped % 10.70/2.16 % 10.70/2.16 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 10.70/2.16 % 10.70/2.22 % SZS output start Proof for theBenchmark % 10.70/2.22 Assumptions after simplification: % 10.70/2.22 --------------------------------- % 11.05/2.22 % 11.05/2.22 (ax2) % 11.05/2.26 op(e3, e3) = e0 & op(e3, e2) = e1 & op(e3, e0) = e3 & op(e3, e1) = e2 & op(e2, % 11.05/2.26 e3) = e1 & op(e2, e2) = e0 & op(e2, e0) = e2 & op(e2, e1) = e3 & op(e0, e3) % 11.05/2.26 = e3 & op(e0, e2) = e2 & op(e0, e0) = e0 & op(e0, e1) = e1 & op(e1, e3) = e2 & % 11.05/2.26 op(e1, e2) = e3 & op(e1, e0) = e1 & op(e1, e1) = e0 & $i(e3) & $i(e2) & $i(e0) % 11.05/2.26 & $i(e1) % 11.05/2.26 % 11.05/2.26 (ax3) % 11.05/2.26 unit = e0 & $i(e0) % 11.05/2.26 % 11.05/2.26 (co1) % 11.29/2.29 $i(unit) & $i(e3) & $i(e2) & $i(e0) & $i(e1) & ? [v0: $i] : ? [v1: $i] : ? % 11.29/2.29 [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] % 11.29/2.29 : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? % 11.29/2.29 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? % 11.29/2.29 [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? % 11.29/2.29 [v23: $i] : (op(unit, e3) = v22 & op(unit, e2) = v20 & op(unit, e0) = v16 & % 11.29/2.29 op(unit, e1) = v18 & op(e3, unit) = v23 & op(e3, e3) = v3 & op(e3, e2) = v15 % 11.29/2.29 & op(e3, e0) = v13 & op(e3, e1) = v14 & op(e2, unit) = v21 & op(e2, e3) = % 11.29/2.29 v12 & op(e2, e2) = v2 & op(e2, e0) = v10 & op(e2, e1) = v11 & op(e0, unit) = % 11.29/2.29 v17 & op(e0, e3) = v6 & op(e0, e2) = v5 & op(e0, e0) = v0 & op(e0, e1) = v4 % 11.29/2.29 & op(e1, unit) = v19 & op(e1, e3) = v9 & op(e1, e2) = v8 & op(e1, e0) = v7 & % 11.29/2.29 op(e1, e1) = v1 & $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19) & $i(v18) % 11.29/2.29 & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & % 11.29/2.29 $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & % 11.29/2.29 $i(v2) & $i(v1) & $i(v0) & ( ~ (v23 = e3) | ~ (v22 = e3) | ~ (v21 = e2) | % 11.29/2.29 ~ (v20 = e2) | ~ (v19 = e1) | ~ (v18 = e1) | ~ (v17 = e0) | ~ (v16 = % 11.29/2.29 e0) | ( ~ (v15 = e3) & ~ (v15 = e2) & ~ (v15 = e0) & ~ (v15 = e1)) | % 11.29/2.29 ( ~ (v15 = e3) & ~ (v14 = e3) & ~ (v13 = e3) & ~ (v3 = e3)) | ( ~ (v15 % 11.29/2.29 = e3) & ~ (v8 = e3) & ~ (v5 = e3) & ~ (v2 = e3)) | ( ~ (v15 = e2) & % 11.29/2.29 ~ (v14 = e2) & ~ (v13 = e2) & ~ (v3 = e2)) | ( ~ (v15 = e2) & ~ (v8 % 11.29/2.29 = e2) & ~ (v5 = e2) & ~ (v2 = e2)) | ( ~ (v15 = e0) & ~ (v14 = e0) % 11.29/2.29 & ~ (v13 = e0) & ~ (v3 = e0)) | ( ~ (v15 = e0) & ~ (v8 = e0) & ~ (v5 % 11.29/2.29 = e0) & ~ (v2 = e0)) | ( ~ (v15 = e1) & ~ (v14 = e1) & ~ (v13 = e1) % 11.29/2.29 & ~ (v3 = e1)) | ( ~ (v15 = e1) & ~ (v8 = e1) & ~ (v5 = e1) & ~ (v2 % 11.29/2.29 = e1)) | ( ~ (v14 = e3) & ~ (v14 = e2) & ~ (v14 = e0) & ~ (v14 = % 11.29/2.29 e1)) | ( ~ (v14 = e3) & ~ (v11 = e3) & ~ (v4 = e3) & ~ (v1 = e3)) | % 11.29/2.29 ( ~ (v14 = e2) & ~ (v11 = e2) & ~ (v4 = e2) & ~ (v1 = e2)) | ( ~ (v14 = % 11.29/2.29 e0) & ~ (v11 = e0) & ~ (v4 = e0) & ~ (v1 = e0)) | ( ~ (v14 = e1) & % 11.29/2.29 ~ (v11 = e1) & ~ (v4 = e1) & ~ (v1 = e1)) | ( ~ (v13 = e3) & ~ (v13 = % 11.29/2.29 e2) & ~ (v13 = e0) & ~ (v13 = e1)) | ( ~ (v13 = e3) & ~ (v10 = e3) % 11.29/2.29 & ~ (v7 = e3) & ~ (v0 = e3)) | ( ~ (v13 = e2) & ~ (v10 = e2) & ~ (v7 % 11.29/2.29 = e2) & ~ (v0 = e2)) | ( ~ (v13 = e0) & ~ (v10 = e0) & ~ (v7 = e0) % 11.29/2.29 & ~ (v0 = e0)) | ( ~ (v13 = e1) & ~ (v10 = e1) & ~ (v7 = e1) & ~ (v0 % 11.29/2.29 = e1)) | ( ~ (v12 = e3) & ~ (v12 = e2) & ~ (v12 = e0) & ~ (v12 = % 11.29/2.29 e1)) | ( ~ (v12 = e3) & ~ (v11 = e3) & ~ (v10 = e3) & ~ (v2 = e3)) % 11.29/2.29 | ( ~ (v12 = e3) & ~ (v9 = e3) & ~ (v6 = e3) & ~ (v3 = e3)) | ( ~ (v12 % 11.29/2.29 = e2) & ~ (v11 = e2) & ~ (v10 = e2) & ~ (v2 = e2)) | ( ~ (v12 = e2) % 11.29/2.29 & ~ (v9 = e2) & ~ (v6 = e2) & ~ (v3 = e2)) | ( ~ (v12 = e0) & ~ (v11 % 11.29/2.29 = e0) & ~ (v10 = e0) & ~ (v2 = e0)) | ( ~ (v12 = e0) & ~ (v9 = e0) % 11.29/2.29 & ~ (v6 = e0) & ~ (v3 = e0)) | ( ~ (v12 = e1) & ~ (v11 = e1) & ~ % 11.29/2.29 (v10 = e1) & ~ (v2 = e1)) | ( ~ (v12 = e1) & ~ (v9 = e1) & ~ (v6 = % 11.29/2.29 e1) & ~ (v3 = e1)) | ( ~ (v11 = e3) & ~ (v11 = e2) & ~ (v11 = e0) & % 11.29/2.29 ~ (v11 = e1)) | ( ~ (v10 = e3) & ~ (v10 = e2) & ~ (v10 = e0) & ~ % 11.29/2.29 (v10 = e1)) | ( ~ (v9 = e3) & ~ (v9 = e2) & ~ (v9 = e0) & ~ (v9 = % 11.29/2.29 e1)) | ( ~ (v9 = e3) & ~ (v8 = e3) & ~ (v7 = e3) & ~ (v1 = e3)) | ( % 11.29/2.29 ~ (v9 = e2) & ~ (v8 = e2) & ~ (v7 = e2) & ~ (v1 = e2)) | ( ~ (v9 = % 11.29/2.29 e0) & ~ (v8 = e0) & ~ (v7 = e0) & ~ (v1 = e0)) | ( ~ (v9 = e1) & ~ % 11.29/2.29 (v8 = e1) & ~ (v7 = e1) & ~ (v1 = e1)) | ( ~ (v8 = e3) & ~ (v8 = e2) % 11.29/2.29 & ~ (v8 = e0) & ~ (v8 = e1)) | ( ~ (v7 = e3) & ~ (v7 = e2) & ~ (v7 = % 11.29/2.29 e0) & ~ (v7 = e1)) | ( ~ (v6 = e3) & ~ (v6 = e2) & ~ (v6 = e0) & ~ % 11.29/2.29 (v6 = e1)) | ( ~ (v6 = e3) & ~ (v5 = e3) & ~ (v4 = e3) & ~ (v0 = e3)) % 11.29/2.29 | ( ~ (v6 = e2) & ~ (v5 = e2) & ~ (v4 = e2) & ~ (v0 = e2)) | ( ~ (v6 = % 11.29/2.29 e0) & ~ (v5 = e0) & ~ (v4 = e0) & ~ (v0 = e0)) | ( ~ (v6 = e1) & ~ % 11.29/2.29 (v5 = e1) & ~ (v4 = e1) & ~ (v0 = e1)) | ( ~ (v5 = e3) & ~ (v5 = e2) % 11.29/2.29 & ~ (v5 = e0) & ~ (v5 = e1)) | ( ~ (v4 = e3) & ~ (v4 = e2) & ~ (v4 = % 11.29/2.29 e0) & ~ (v4 = e1)) | ( ~ (v3 = e3) & ~ (v3 = e2) & ~ (v3 = e0) & ~ % 11.29/2.29 (v3 = e1)) | ( ~ (v2 = e3) & ~ (v2 = e2) & ~ (v2 = e0) & ~ (v2 = e1)) % 11.29/2.29 | ( ~ (v1 = e3) & ~ (v1 = e2) & ~ (v1 = e0) & ~ (v1 = e1)) | ( ~ (v0 = % 11.29/2.29 e3) & ~ (v0 = e2) & ~ (v0 = e0) & ~ (v0 = e1)) | ( ~ (unit = e3) & % 11.29/2.29 ~ (unit = e2) & ~ (unit = e0) & ~ (unit = e1)) | (( ~ (v3 = e3) | ~ % 11.29/2.29 (v2 = e3) | ~ (v1 = e3) | ~ (v0 = e3)) & ( ~ (v3 = e2) | ~ (v2 = % 11.29/2.29 e2) | ~ (v1 = e2) | ~ (v0 = e2)) & ( ~ (v3 = e0) | ~ (v2 = e0) | % 11.29/2.29 ~ (v1 = e0) | ~ (v0 = e0)) & ( ~ (v3 = e1) | ~ (v2 = e1) | ~ (v1 = % 11.29/2.29 e1) | ~ (v0 = e1))))) % 11.29/2.29 % 11.29/2.29 (function-axioms) % 11.29/2.29 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (op(v3, % 11.29/2.29 v2) = v1) | ~ (op(v3, v2) = v0)) % 11.29/2.29 % 11.29/2.29 Further assumptions not needed in the proof: % 11.29/2.29 -------------------------------------------- % 11.29/2.29 ax1 % 11.29/2.29 % 11.29/2.29 Those formulas are unsatisfiable: % 11.29/2.29 --------------------------------- % 11.29/2.29 % 11.29/2.29 Begin of proof % 11.29/2.30 | % 11.29/2.30 | ALPHA: (ax2) implies: % 11.29/2.30 | (1) op(e1, e1) = e0 % 11.29/2.30 | (2) op(e1, e0) = e1 % 11.29/2.30 | (3) op(e1, e2) = e3 % 11.29/2.30 | (4) op(e1, e3) = e2 % 11.29/2.30 | (5) op(e0, e1) = e1 % 11.29/2.30 | (6) op(e0, e0) = e0 % 11.29/2.30 | (7) op(e0, e2) = e2 % 11.29/2.30 | (8) op(e0, e3) = e3 % 11.29/2.30 | (9) op(e2, e1) = e3 % 11.29/2.30 | (10) op(e2, e0) = e2 % 11.29/2.30 | (11) op(e2, e2) = e0 % 11.29/2.30 | (12) op(e2, e3) = e1 % 11.29/2.30 | (13) op(e3, e1) = e2 % 11.29/2.30 | (14) op(e3, e0) = e3 % 11.29/2.30 | (15) op(e3, e2) = e1 % 11.29/2.30 | (16) op(e3, e3) = e0 % 11.29/2.30 | % 11.29/2.30 | ALPHA: (ax3) implies: % 11.29/2.30 | (17) unit = e0 % 11.29/2.30 | % 11.29/2.30 | ALPHA: (co1) implies: % 11.29/2.32 | (18) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 11.29/2.32 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : % 11.29/2.32 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: % 11.29/2.32 | $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ? % 11.29/2.32 | [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i] % 11.29/2.32 | : (op(unit, e3) = v22 & op(unit, e2) = v20 & op(unit, e0) = v16 & % 11.29/2.32 | op(unit, e1) = v18 & op(e3, unit) = v23 & op(e3, e3) = v3 & op(e3, % 11.29/2.32 | e2) = v15 & op(e3, e0) = v13 & op(e3, e1) = v14 & op(e2, unit) = % 11.29/2.32 | v21 & op(e2, e3) = v12 & op(e2, e2) = v2 & op(e2, e0) = v10 & op(e2, % 11.29/2.32 | e1) = v11 & op(e0, unit) = v17 & op(e0, e3) = v6 & op(e0, e2) = v5 % 11.29/2.32 | & op(e0, e0) = v0 & op(e0, e1) = v4 & op(e1, unit) = v19 & op(e1, % 11.29/2.32 | e3) = v9 & op(e1, e2) = v8 & op(e1, e0) = v7 & op(e1, e1) = v1 & % 11.29/2.32 | $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19) & $i(v18) & $i(v17) % 11.29/2.32 | & $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & % 11.29/2.32 | $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & % 11.29/2.32 | $i(v3) & $i(v2) & $i(v1) & $i(v0) & ( ~ (v23 = e3) | ~ (v22 = e3) | % 11.29/2.32 | ~ (v21 = e2) | ~ (v20 = e2) | ~ (v19 = e1) | ~ (v18 = e1) | ~ % 11.29/2.32 | (v17 = e0) | ~ (v16 = e0) | ( ~ (v15 = e3) & ~ (v15 = e2) & ~ % 11.29/2.32 | (v15 = e0) & ~ (v15 = e1)) | ( ~ (v15 = e3) & ~ (v14 = e3) & % 11.29/2.32 | ~ (v13 = e3) & ~ (v3 = e3)) | ( ~ (v15 = e3) & ~ (v8 = e3) & % 11.29/2.32 | ~ (v5 = e3) & ~ (v2 = e3)) | ( ~ (v15 = e2) & ~ (v14 = e2) & % 11.29/2.32 | ~ (v13 = e2) & ~ (v3 = e2)) | ( ~ (v15 = e2) & ~ (v8 = e2) & % 11.29/2.32 | ~ (v5 = e2) & ~ (v2 = e2)) | ( ~ (v15 = e0) & ~ (v14 = e0) & % 11.29/2.32 | ~ (v13 = e0) & ~ (v3 = e0)) | ( ~ (v15 = e0) & ~ (v8 = e0) & % 11.29/2.32 | ~ (v5 = e0) & ~ (v2 = e0)) | ( ~ (v15 = e1) & ~ (v14 = e1) & % 11.29/2.32 | ~ (v13 = e1) & ~ (v3 = e1)) | ( ~ (v15 = e1) & ~ (v8 = e1) & % 11.29/2.32 | ~ (v5 = e1) & ~ (v2 = e1)) | ( ~ (v14 = e3) & ~ (v14 = e2) & % 11.29/2.32 | ~ (v14 = e0) & ~ (v14 = e1)) | ( ~ (v14 = e3) & ~ (v11 = e3) & % 11.29/2.32 | ~ (v4 = e3) & ~ (v1 = e3)) | ( ~ (v14 = e2) & ~ (v11 = e2) & % 11.29/2.32 | ~ (v4 = e2) & ~ (v1 = e2)) | ( ~ (v14 = e0) & ~ (v11 = e0) & % 11.29/2.32 | ~ (v4 = e0) & ~ (v1 = e0)) | ( ~ (v14 = e1) & ~ (v11 = e1) & % 11.29/2.32 | ~ (v4 = e1) & ~ (v1 = e1)) | ( ~ (v13 = e3) & ~ (v13 = e2) & % 11.29/2.32 | ~ (v13 = e0) & ~ (v13 = e1)) | ( ~ (v13 = e3) & ~ (v10 = e3) & % 11.29/2.32 | ~ (v7 = e3) & ~ (v0 = e3)) | ( ~ (v13 = e2) & ~ (v10 = e2) & % 11.29/2.32 | ~ (v7 = e2) & ~ (v0 = e2)) | ( ~ (v13 = e0) & ~ (v10 = e0) & % 11.29/2.32 | ~ (v7 = e0) & ~ (v0 = e0)) | ( ~ (v13 = e1) & ~ (v10 = e1) & % 11.29/2.32 | ~ (v7 = e1) & ~ (v0 = e1)) | ( ~ (v12 = e3) & ~ (v12 = e2) & % 11.29/2.32 | ~ (v12 = e0) & ~ (v12 = e1)) | ( ~ (v12 = e3) & ~ (v11 = e3) & % 11.29/2.32 | ~ (v10 = e3) & ~ (v2 = e3)) | ( ~ (v12 = e3) & ~ (v9 = e3) & % 11.29/2.32 | ~ (v6 = e3) & ~ (v3 = e3)) | ( ~ (v12 = e2) & ~ (v11 = e2) & % 11.29/2.32 | ~ (v10 = e2) & ~ (v2 = e2)) | ( ~ (v12 = e2) & ~ (v9 = e2) & % 11.29/2.32 | ~ (v6 = e2) & ~ (v3 = e2)) | ( ~ (v12 = e0) & ~ (v11 = e0) & % 11.29/2.32 | ~ (v10 = e0) & ~ (v2 = e0)) | ( ~ (v12 = e0) & ~ (v9 = e0) & % 11.29/2.32 | ~ (v6 = e0) & ~ (v3 = e0)) | ( ~ (v12 = e1) & ~ (v11 = e1) & % 11.29/2.32 | ~ (v10 = e1) & ~ (v2 = e1)) | ( ~ (v12 = e1) & ~ (v9 = e1) & % 11.29/2.32 | ~ (v6 = e1) & ~ (v3 = e1)) | ( ~ (v11 = e3) & ~ (v11 = e2) & % 11.29/2.32 | ~ (v11 = e0) & ~ (v11 = e1)) | ( ~ (v10 = e3) & ~ (v10 = e2) & % 11.29/2.32 | ~ (v10 = e0) & ~ (v10 = e1)) | ( ~ (v9 = e3) & ~ (v9 = e2) & % 11.29/2.32 | ~ (v9 = e0) & ~ (v9 = e1)) | ( ~ (v9 = e3) & ~ (v8 = e3) & ~ % 11.29/2.32 | (v7 = e3) & ~ (v1 = e3)) | ( ~ (v9 = e2) & ~ (v8 = e2) & ~ % 11.29/2.32 | (v7 = e2) & ~ (v1 = e2)) | ( ~ (v9 = e0) & ~ (v8 = e0) & ~ % 11.29/2.32 | (v7 = e0) & ~ (v1 = e0)) | ( ~ (v9 = e1) & ~ (v8 = e1) & ~ % 11.29/2.32 | (v7 = e1) & ~ (v1 = e1)) | ( ~ (v8 = e3) & ~ (v8 = e2) & ~ % 11.29/2.32 | (v8 = e0) & ~ (v8 = e1)) | ( ~ (v7 = e3) & ~ (v7 = e2) & ~ % 11.29/2.32 | (v7 = e0) & ~ (v7 = e1)) | ( ~ (v6 = e3) & ~ (v6 = e2) & ~ % 11.29/2.32 | (v6 = e0) & ~ (v6 = e1)) | ( ~ (v6 = e3) & ~ (v5 = e3) & ~ % 11.29/2.32 | (v4 = e3) & ~ (v0 = e3)) | ( ~ (v6 = e2) & ~ (v5 = e2) & ~ % 11.29/2.32 | (v4 = e2) & ~ (v0 = e2)) | ( ~ (v6 = e0) & ~ (v5 = e0) & ~ % 11.29/2.32 | (v4 = e0) & ~ (v0 = e0)) | ( ~ (v6 = e1) & ~ (v5 = e1) & ~ % 11.29/2.32 | (v4 = e1) & ~ (v0 = e1)) | ( ~ (v5 = e3) & ~ (v5 = e2) & ~ % 11.29/2.32 | (v5 = e0) & ~ (v5 = e1)) | ( ~ (v4 = e3) & ~ (v4 = e2) & ~ % 11.29/2.32 | (v4 = e0) & ~ (v4 = e1)) | ( ~ (v3 = e3) & ~ (v3 = e2) & ~ % 11.29/2.32 | (v3 = e0) & ~ (v3 = e1)) | ( ~ (v2 = e3) & ~ (v2 = e2) & ~ % 11.29/2.32 | (v2 = e0) & ~ (v2 = e1)) | ( ~ (v1 = e3) & ~ (v1 = e2) & ~ % 11.29/2.32 | (v1 = e0) & ~ (v1 = e1)) | ( ~ (v0 = e3) & ~ (v0 = e2) & ~ % 11.29/2.32 | (v0 = e0) & ~ (v0 = e1)) | ( ~ (unit = e3) & ~ (unit = e2) & % 11.29/2.32 | ~ (unit = e0) & ~ (unit = e1)) | (( ~ (v3 = e3) | ~ (v2 = e3) % 11.29/2.32 | | ~ (v1 = e3) | ~ (v0 = e3)) & ( ~ (v3 = e2) | ~ (v2 = e2) % 11.29/2.32 | | ~ (v1 = e2) | ~ (v0 = e2)) & ( ~ (v3 = e0) | ~ (v2 = e0) % 11.29/2.32 | | ~ (v1 = e0) | ~ (v0 = e0)) & ( ~ (v3 = e1) | ~ (v2 = e1) % 11.29/2.32 | | ~ (v1 = e1) | ~ (v0 = e1))))) % 11.29/2.32 | % 11.29/2.32 | DELTA: instantiating (18) with fresh symbols all_4_0, all_4_1, all_4_2, % 11.29/2.32 | all_4_3, all_4_4, all_4_5, all_4_6, all_4_7, all_4_8, all_4_9, % 11.29/2.32 | all_4_10, all_4_11, all_4_12, all_4_13, all_4_14, all_4_15, all_4_16, % 11.29/2.32 | all_4_17, all_4_18, all_4_19, all_4_20, all_4_21, all_4_22, all_4_23 % 11.29/2.32 | gives: % 11.29/2.33 | (19) op(unit, e3) = all_4_1 & op(unit, e2) = all_4_3 & op(unit, e0) = % 11.29/2.33 | all_4_7 & op(unit, e1) = all_4_5 & op(e3, unit) = all_4_0 & op(e3, e3) % 11.29/2.33 | = all_4_20 & op(e3, e2) = all_4_8 & op(e3, e0) = all_4_10 & op(e3, e1) % 11.29/2.33 | = all_4_9 & op(e2, unit) = all_4_2 & op(e2, e3) = all_4_11 & op(e2, % 11.29/2.33 | e2) = all_4_21 & op(e2, e0) = all_4_13 & op(e2, e1) = all_4_12 & % 11.29/2.33 | op(e0, unit) = all_4_6 & op(e0, e3) = all_4_17 & op(e0, e2) = all_4_18 % 11.29/2.33 | & op(e0, e0) = all_4_23 & op(e0, e1) = all_4_19 & op(e1, unit) = % 11.29/2.33 | all_4_4 & op(e1, e3) = all_4_14 & op(e1, e2) = all_4_15 & op(e1, e0) = % 11.29/2.33 | all_4_16 & op(e1, e1) = all_4_22 & $i(all_4_0) & $i(all_4_1) & % 11.29/2.33 | $i(all_4_2) & $i(all_4_3) & $i(all_4_4) & $i(all_4_5) & $i(all_4_6) & % 11.29/2.33 | $i(all_4_7) & $i(all_4_8) & $i(all_4_9) & $i(all_4_10) & $i(all_4_11) % 11.29/2.33 | & $i(all_4_12) & $i(all_4_13) & $i(all_4_14) & $i(all_4_15) & % 11.29/2.33 | $i(all_4_16) & $i(all_4_17) & $i(all_4_18) & $i(all_4_19) & % 11.29/2.33 | $i(all_4_20) & $i(all_4_21) & $i(all_4_22) & $i(all_4_23) & ( ~ % 11.29/2.33 | (all_4_0 = e3) | ~ (all_4_1 = e3) | ~ (all_4_2 = e2) | ~ (all_4_3 % 11.29/2.33 | = e2) | ~ (all_4_4 = e1) | ~ (all_4_5 = e1) | ~ (all_4_6 = e0) % 11.29/2.33 | | ~ (all_4_7 = e0) | ( ~ (all_4_8 = e3) & ~ (all_4_8 = e2) & ~ % 11.29/2.33 | (all_4_8 = e0) & ~ (all_4_8 = e1)) | ( ~ (all_4_8 = e3) & ~ % 11.29/2.33 | (all_4_9 = e3) & ~ (all_4_10 = e3) & ~ (all_4_20 = e3)) | ( ~ % 11.29/2.33 | (all_4_8 = e3) & ~ (all_4_15 = e3) & ~ (all_4_18 = e3) & ~ % 11.29/2.33 | (all_4_21 = e3)) | ( ~ (all_4_8 = e2) & ~ (all_4_9 = e2) & ~ % 11.29/2.33 | (all_4_10 = e2) & ~ (all_4_20 = e2)) | ( ~ (all_4_8 = e2) & ~ % 11.29/2.33 | (all_4_15 = e2) & ~ (all_4_18 = e2) & ~ (all_4_21 = e2)) | ( ~ % 11.29/2.33 | (all_4_8 = e0) & ~ (all_4_9 = e0) & ~ (all_4_10 = e0) & ~ % 11.29/2.33 | (all_4_20 = e0)) | ( ~ (all_4_8 = e0) & ~ (all_4_15 = e0) & ~ % 11.29/2.33 | (all_4_18 = e0) & ~ (all_4_21 = e0)) | ( ~ (all_4_8 = e1) & ~ % 11.29/2.33 | (all_4_9 = e1) & ~ (all_4_10 = e1) & ~ (all_4_20 = e1)) | ( ~ % 11.29/2.33 | (all_4_8 = e1) & ~ (all_4_15 = e1) & ~ (all_4_18 = e1) & ~ % 11.29/2.33 | (all_4_21 = e1)) | ( ~ (all_4_9 = e3) & ~ (all_4_9 = e2) & ~ % 11.29/2.33 | (all_4_9 = e0) & ~ (all_4_9 = e1)) | ( ~ (all_4_9 = e3) & ~ % 11.29/2.33 | (all_4_12 = e3) & ~ (all_4_19 = e3) & ~ (all_4_22 = e3)) | ( ~ % 11.29/2.33 | (all_4_9 = e2) & ~ (all_4_12 = e2) & ~ (all_4_19 = e2) & ~ % 11.29/2.33 | (all_4_22 = e2)) | ( ~ (all_4_9 = e0) & ~ (all_4_12 = e0) & ~ % 11.29/2.33 | (all_4_19 = e0) & ~ (all_4_22 = e0)) | ( ~ (all_4_9 = e1) & ~ % 11.29/2.33 | (all_4_12 = e1) & ~ (all_4_19 = e1) & ~ (all_4_22 = e1)) | ( ~ % 11.29/2.33 | (all_4_10 = e3) & ~ (all_4_10 = e2) & ~ (all_4_10 = e0) & ~ % 11.29/2.33 | (all_4_10 = e1)) | ( ~ (all_4_10 = e3) & ~ (all_4_13 = e3) & ~ % 11.29/2.33 | (all_4_16 = e3) & ~ (all_4_23 = e3)) | ( ~ (all_4_10 = e2) & ~ % 11.29/2.33 | (all_4_13 = e2) & ~ (all_4_16 = e2) & ~ (all_4_23 = e2)) | ( ~ % 11.29/2.33 | (all_4_10 = e0) & ~ (all_4_13 = e0) & ~ (all_4_16 = e0) & ~ % 11.29/2.33 | (all_4_23 = e0)) | ( ~ (all_4_10 = e1) & ~ (all_4_13 = e1) & ~ % 11.29/2.33 | (all_4_16 = e1) & ~ (all_4_23 = e1)) | ( ~ (all_4_11 = e3) & ~ % 11.29/2.33 | (all_4_11 = e2) & ~ (all_4_11 = e0) & ~ (all_4_11 = e1)) | ( ~ % 11.29/2.33 | (all_4_11 = e3) & ~ (all_4_12 = e3) & ~ (all_4_13 = e3) & ~ % 11.29/2.33 | (all_4_21 = e3)) | ( ~ (all_4_11 = e3) & ~ (all_4_14 = e3) & ~ % 11.29/2.33 | (all_4_17 = e3) & ~ (all_4_20 = e3)) | ( ~ (all_4_11 = e2) & ~ % 11.29/2.33 | (all_4_12 = e2) & ~ (all_4_13 = e2) & ~ (all_4_21 = e2)) | ( ~ % 11.29/2.34 | (all_4_11 = e2) & ~ (all_4_14 = e2) & ~ (all_4_17 = e2) & ~ % 11.29/2.34 | (all_4_20 = e2)) | ( ~ (all_4_11 = e0) & ~ (all_4_12 = e0) & ~ % 11.29/2.34 | (all_4_13 = e0) & ~ (all_4_21 = e0)) | ( ~ (all_4_11 = e0) & ~ % 11.29/2.34 | (all_4_14 = e0) & ~ (all_4_17 = e0) & ~ (all_4_20 = e0)) | ( ~ % 11.29/2.34 | (all_4_11 = e1) & ~ (all_4_12 = e1) & ~ (all_4_13 = e1) & ~ % 11.29/2.34 | (all_4_21 = e1)) | ( ~ (all_4_11 = e1) & ~ (all_4_14 = e1) & ~ % 11.29/2.34 | (all_4_17 = e1) & ~ (all_4_20 = e1)) | ( ~ (all_4_12 = e3) & ~ % 11.29/2.34 | (all_4_12 = e2) & ~ (all_4_12 = e0) & ~ (all_4_12 = e1)) | ( ~ % 11.29/2.34 | (all_4_13 = e3) & ~ (all_4_13 = e2) & ~ (all_4_13 = e0) & ~ % 11.29/2.34 | (all_4_13 = e1)) | ( ~ (all_4_14 = e3) & ~ (all_4_14 = e2) & ~ % 11.29/2.34 | (all_4_14 = e0) & ~ (all_4_14 = e1)) | ( ~ (all_4_14 = e3) & ~ % 11.29/2.34 | (all_4_15 = e3) & ~ (all_4_16 = e3) & ~ (all_4_22 = e3)) | ( ~ % 11.29/2.34 | (all_4_14 = e2) & ~ (all_4_15 = e2) & ~ (all_4_16 = e2) & ~ % 11.29/2.34 | (all_4_22 = e2)) | ( ~ (all_4_14 = e0) & ~ (all_4_15 = e0) & ~ % 11.29/2.34 | (all_4_16 = e0) & ~ (all_4_22 = e0)) | ( ~ (all_4_14 = e1) & ~ % 11.29/2.34 | (all_4_15 = e1) & ~ (all_4_16 = e1) & ~ (all_4_22 = e1)) | ( ~ % 11.29/2.34 | (all_4_15 = e3) & ~ (all_4_15 = e2) & ~ (all_4_15 = e0) & ~ % 11.29/2.34 | (all_4_15 = e1)) | ( ~ (all_4_16 = e3) & ~ (all_4_16 = e2) & ~ % 11.29/2.34 | (all_4_16 = e0) & ~ (all_4_16 = e1)) | ( ~ (all_4_17 = e3) & ~ % 11.29/2.34 | (all_4_17 = e2) & ~ (all_4_17 = e0) & ~ (all_4_17 = e1)) | ( ~ % 11.29/2.34 | (all_4_17 = e3) & ~ (all_4_18 = e3) & ~ (all_4_19 = e3) & ~ % 11.29/2.34 | (all_4_23 = e3)) | ( ~ (all_4_17 = e2) & ~ (all_4_18 = e2) & ~ % 11.29/2.34 | (all_4_19 = e2) & ~ (all_4_23 = e2)) | ( ~ (all_4_17 = e0) & ~ % 11.29/2.34 | (all_4_18 = e0) & ~ (all_4_19 = e0) & ~ (all_4_23 = e0)) | ( ~ % 11.29/2.34 | (all_4_17 = e1) & ~ (all_4_18 = e1) & ~ (all_4_19 = e1) & ~ % 11.29/2.34 | (all_4_23 = e1)) | ( ~ (all_4_18 = e3) & ~ (all_4_18 = e2) & ~ % 11.29/2.34 | (all_4_18 = e0) & ~ (all_4_18 = e1)) | ( ~ (all_4_19 = e3) & ~ % 11.29/2.34 | (all_4_19 = e2) & ~ (all_4_19 = e0) & ~ (all_4_19 = e1)) | ( ~ % 11.29/2.34 | (all_4_20 = e3) & ~ (all_4_20 = e2) & ~ (all_4_20 = e0) & ~ % 11.29/2.34 | (all_4_20 = e1)) | ( ~ (all_4_21 = e3) & ~ (all_4_21 = e2) & ~ % 11.29/2.34 | (all_4_21 = e0) & ~ (all_4_21 = e1)) | ( ~ (all_4_22 = e3) & ~ % 11.29/2.34 | (all_4_22 = e2) & ~ (all_4_22 = e0) & ~ (all_4_22 = e1)) | ( ~ % 11.29/2.34 | (all_4_23 = e3) & ~ (all_4_23 = e2) & ~ (all_4_23 = e0) & ~ % 11.29/2.34 | (all_4_23 = e1)) | ( ~ (unit = e3) & ~ (unit = e2) & ~ (unit = % 11.29/2.34 | e0) & ~ (unit = e1)) | (( ~ (all_4_20 = e3) | ~ (all_4_21 = % 11.29/2.34 | e3) | ~ (all_4_22 = e3) | ~ (all_4_23 = e3)) & ( ~ (all_4_20 % 11.29/2.34 | = e2) | ~ (all_4_21 = e2) | ~ (all_4_22 = e2) | ~ (all_4_23 % 11.29/2.34 | = e2)) & ( ~ (all_4_20 = e0) | ~ (all_4_21 = e0) | ~ % 11.29/2.34 | (all_4_22 = e0) | ~ (all_4_23 = e0)) & ( ~ (all_4_20 = e1) | ~ % 11.29/2.34 | (all_4_21 = e1) | ~ (all_4_22 = e1) | ~ (all_4_23 = e1)))) % 11.29/2.34 | % 11.29/2.34 | ALPHA: (19) implies: % 11.29/2.34 | (20) op(e1, e1) = all_4_22 % 11.29/2.34 | (21) op(e1, e0) = all_4_16 % 11.29/2.34 | (22) op(e1, e2) = all_4_15 % 11.29/2.34 | (23) op(e1, e3) = all_4_14 % 11.29/2.34 | (24) op(e1, unit) = all_4_4 % 11.29/2.34 | (25) op(e0, e1) = all_4_19 % 11.29/2.34 | (26) op(e0, e0) = all_4_23 % 11.29/2.34 | (27) op(e0, e2) = all_4_18 % 11.29/2.34 | (28) op(e0, e3) = all_4_17 % 11.29/2.34 | (29) op(e0, unit) = all_4_6 % 11.29/2.34 | (30) op(e2, e1) = all_4_12 % 11.29/2.34 | (31) op(e2, e0) = all_4_13 % 11.29/2.34 | (32) op(e2, e2) = all_4_21 % 11.29/2.34 | (33) op(e2, e3) = all_4_11 % 11.29/2.34 | (34) op(e2, unit) = all_4_2 % 11.29/2.34 | (35) op(e3, e1) = all_4_9 % 11.29/2.34 | (36) op(e3, e0) = all_4_10 % 11.29/2.34 | (37) op(e3, e2) = all_4_8 % 11.29/2.34 | (38) op(e3, e3) = all_4_20 % 11.29/2.34 | (39) op(e3, unit) = all_4_0 % 11.29/2.34 | (40) op(unit, e1) = all_4_5 % 11.29/2.34 | (41) op(unit, e0) = all_4_7 % 11.29/2.34 | (42) op(unit, e2) = all_4_3 % 11.29/2.34 | (43) op(unit, e3) = all_4_1 % 11.65/2.35 | (44) ~ (all_4_0 = e3) | ~ (all_4_1 = e3) | ~ (all_4_2 = e2) | ~ % 11.65/2.35 | (all_4_3 = e2) | ~ (all_4_4 = e1) | ~ (all_4_5 = e1) | ~ (all_4_6 = % 11.65/2.35 | e0) | ~ (all_4_7 = e0) | ( ~ (all_4_8 = e3) & ~ (all_4_8 = e2) & % 11.65/2.35 | ~ (all_4_8 = e0) & ~ (all_4_8 = e1)) | ( ~ (all_4_8 = e3) & ~ % 11.65/2.35 | (all_4_9 = e3) & ~ (all_4_10 = e3) & ~ (all_4_20 = e3)) | ( ~ % 11.65/2.35 | (all_4_8 = e3) & ~ (all_4_15 = e3) & ~ (all_4_18 = e3) & ~ % 11.65/2.35 | (all_4_21 = e3)) | ( ~ (all_4_8 = e2) & ~ (all_4_9 = e2) & ~ % 11.65/2.35 | (all_4_10 = e2) & ~ (all_4_20 = e2)) | ( ~ (all_4_8 = e2) & ~ % 11.65/2.35 | (all_4_15 = e2) & ~ (all_4_18 = e2) & ~ (all_4_21 = e2)) | ( ~ % 11.65/2.35 | (all_4_8 = e0) & ~ (all_4_9 = e0) & ~ (all_4_10 = e0) & ~ % 11.65/2.35 | (all_4_20 = e0)) | ( ~ (all_4_8 = e0) & ~ (all_4_15 = e0) & ~ % 11.65/2.35 | (all_4_18 = e0) & ~ (all_4_21 = e0)) | ( ~ (all_4_8 = e1) & ~ % 11.65/2.35 | (all_4_9 = e1) & ~ (all_4_10 = e1) & ~ (all_4_20 = e1)) | ( ~ % 11.65/2.35 | (all_4_8 = e1) & ~ (all_4_15 = e1) & ~ (all_4_18 = e1) & ~ % 11.65/2.35 | (all_4_21 = e1)) | ( ~ (all_4_9 = e3) & ~ (all_4_9 = e2) & ~ % 11.65/2.35 | (all_4_9 = e0) & ~ (all_4_9 = e1)) | ( ~ (all_4_9 = e3) & ~ % 11.65/2.35 | (all_4_12 = e3) & ~ (all_4_19 = e3) & ~ (all_4_22 = e3)) | ( ~ % 11.65/2.35 | (all_4_9 = e2) & ~ (all_4_12 = e2) & ~ (all_4_19 = e2) & ~ % 11.65/2.35 | (all_4_22 = e2)) | ( ~ (all_4_9 = e0) & ~ (all_4_12 = e0) & ~ % 11.65/2.35 | (all_4_19 = e0) & ~ (all_4_22 = e0)) | ( ~ (all_4_9 = e1) & ~ % 11.65/2.35 | (all_4_12 = e1) & ~ (all_4_19 = e1) & ~ (all_4_22 = e1)) | ( ~ % 11.65/2.35 | (all_4_10 = e3) & ~ (all_4_10 = e2) & ~ (all_4_10 = e0) & ~ % 11.65/2.35 | (all_4_10 = e1)) | ( ~ (all_4_10 = e3) & ~ (all_4_13 = e3) & ~ % 11.65/2.35 | (all_4_16 = e3) & ~ (all_4_23 = e3)) | ( ~ (all_4_10 = e2) & ~ % 11.65/2.35 | (all_4_13 = e2) & ~ (all_4_16 = e2) & ~ (all_4_23 = e2)) | ( ~ % 11.65/2.35 | (all_4_10 = e0) & ~ (all_4_13 = e0) & ~ (all_4_16 = e0) & ~ % 11.65/2.35 | (all_4_23 = e0)) | ( ~ (all_4_10 = e1) & ~ (all_4_13 = e1) & ~ % 11.65/2.35 | (all_4_16 = e1) & ~ (all_4_23 = e1)) | ( ~ (all_4_11 = e3) & ~ % 11.65/2.35 | (all_4_11 = e2) & ~ (all_4_11 = e0) & ~ (all_4_11 = e1)) | ( ~ % 11.65/2.35 | (all_4_11 = e3) & ~ (all_4_12 = e3) & ~ (all_4_13 = e3) & ~ % 11.65/2.35 | (all_4_21 = e3)) | ( ~ (all_4_11 = e3) & ~ (all_4_14 = e3) & ~ % 11.65/2.35 | (all_4_17 = e3) & ~ (all_4_20 = e3)) | ( ~ (all_4_11 = e2) & ~ % 11.65/2.35 | (all_4_12 = e2) & ~ (all_4_13 = e2) & ~ (all_4_21 = e2)) | ( ~ % 11.65/2.35 | (all_4_11 = e2) & ~ (all_4_14 = e2) & ~ (all_4_17 = e2) & ~ % 11.65/2.35 | (all_4_20 = e2)) | ( ~ (all_4_11 = e0) & ~ (all_4_12 = e0) & ~ % 11.65/2.35 | (all_4_13 = e0) & ~ (all_4_21 = e0)) | ( ~ (all_4_11 = e0) & ~ % 11.65/2.35 | (all_4_14 = e0) & ~ (all_4_17 = e0) & ~ (all_4_20 = e0)) | ( ~ % 11.65/2.35 | (all_4_11 = e1) & ~ (all_4_12 = e1) & ~ (all_4_13 = e1) & ~ % 11.65/2.35 | (all_4_21 = e1)) | ( ~ (all_4_11 = e1) & ~ (all_4_14 = e1) & ~ % 11.65/2.35 | (all_4_17 = e1) & ~ (all_4_20 = e1)) | ( ~ (all_4_12 = e3) & ~ % 11.65/2.35 | (all_4_12 = e2) & ~ (all_4_12 = e0) & ~ (all_4_12 = e1)) | ( ~ % 11.65/2.35 | (all_4_13 = e3) & ~ (all_4_13 = e2) & ~ (all_4_13 = e0) & ~ % 11.65/2.35 | (all_4_13 = e1)) | ( ~ (all_4_14 = e3) & ~ (all_4_14 = e2) & ~ % 11.65/2.35 | (all_4_14 = e0) & ~ (all_4_14 = e1)) | ( ~ (all_4_14 = e3) & ~ % 11.65/2.35 | (all_4_15 = e3) & ~ (all_4_16 = e3) & ~ (all_4_22 = e3)) | ( ~ % 11.65/2.35 | (all_4_14 = e2) & ~ (all_4_15 = e2) & ~ (all_4_16 = e2) & ~ % 11.65/2.35 | (all_4_22 = e2)) | ( ~ (all_4_14 = e0) & ~ (all_4_15 = e0) & ~ % 11.65/2.35 | (all_4_16 = e0) & ~ (all_4_22 = e0)) | ( ~ (all_4_14 = e1) & ~ % 11.65/2.35 | (all_4_15 = e1) & ~ (all_4_16 = e1) & ~ (all_4_22 = e1)) | ( ~ % 11.65/2.35 | (all_4_15 = e3) & ~ (all_4_15 = e2) & ~ (all_4_15 = e0) & ~ % 11.65/2.35 | (all_4_15 = e1)) | ( ~ (all_4_16 = e3) & ~ (all_4_16 = e2) & ~ % 11.65/2.35 | (all_4_16 = e0) & ~ (all_4_16 = e1)) | ( ~ (all_4_17 = e3) & ~ % 11.65/2.35 | (all_4_17 = e2) & ~ (all_4_17 = e0) & ~ (all_4_17 = e1)) | ( ~ % 11.65/2.35 | (all_4_17 = e3) & ~ (all_4_18 = e3) & ~ (all_4_19 = e3) & ~ % 11.65/2.35 | (all_4_23 = e3)) | ( ~ (all_4_17 = e2) & ~ (all_4_18 = e2) & ~ % 11.65/2.35 | (all_4_19 = e2) & ~ (all_4_23 = e2)) | ( ~ (all_4_17 = e0) & ~ % 11.65/2.35 | (all_4_18 = e0) & ~ (all_4_19 = e0) & ~ (all_4_23 = e0)) | ( ~ % 11.65/2.35 | (all_4_17 = e1) & ~ (all_4_18 = e1) & ~ (all_4_19 = e1) & ~ % 11.65/2.35 | (all_4_23 = e1)) | ( ~ (all_4_18 = e3) & ~ (all_4_18 = e2) & ~ % 11.65/2.35 | (all_4_18 = e0) & ~ (all_4_18 = e1)) | ( ~ (all_4_19 = e3) & ~ % 11.65/2.35 | (all_4_19 = e2) & ~ (all_4_19 = e0) & ~ (all_4_19 = e1)) | ( ~ % 11.65/2.35 | (all_4_20 = e3) & ~ (all_4_20 = e2) & ~ (all_4_20 = e0) & ~ % 11.65/2.35 | (all_4_20 = e1)) | ( ~ (all_4_21 = e3) & ~ (all_4_21 = e2) & ~ % 11.65/2.35 | (all_4_21 = e0) & ~ (all_4_21 = e1)) | ( ~ (all_4_22 = e3) & ~ % 11.65/2.35 | (all_4_22 = e2) & ~ (all_4_22 = e0) & ~ (all_4_22 = e1)) | ( ~ % 11.65/2.35 | (all_4_23 = e3) & ~ (all_4_23 = e2) & ~ (all_4_23 = e0) & ~ % 11.65/2.35 | (all_4_23 = e1)) | ( ~ (unit = e3) & ~ (unit = e2) & ~ (unit = e0) % 11.65/2.35 | & ~ (unit = e1)) | (( ~ (all_4_20 = e3) | ~ (all_4_21 = e3) | ~ % 11.65/2.35 | (all_4_22 = e3) | ~ (all_4_23 = e3)) & ( ~ (all_4_20 = e2) | ~ % 11.65/2.35 | (all_4_21 = e2) | ~ (all_4_22 = e2) | ~ (all_4_23 = e2)) & ( ~ % 11.65/2.35 | (all_4_20 = e0) | ~ (all_4_21 = e0) | ~ (all_4_22 = e0) | ~ % 11.65/2.35 | (all_4_23 = e0)) & ( ~ (all_4_20 = e1) | ~ (all_4_21 = e1) | ~ % 11.65/2.35 | (all_4_22 = e1) | ~ (all_4_23 = e1))) % 11.65/2.35 | % 11.65/2.35 | REDUCE: (17), (43) imply: % 11.65/2.35 | (45) op(e0, e3) = all_4_1 % 11.65/2.35 | % 11.65/2.35 | REDUCE: (17), (42) imply: % 11.65/2.35 | (46) op(e0, e2) = all_4_3 % 11.65/2.35 | % 11.65/2.35 | REDUCE: (17), (41) imply: % 11.65/2.35 | (47) op(e0, e0) = all_4_7 % 11.65/2.35 | % 11.65/2.35 | REDUCE: (17), (40) imply: % 11.65/2.35 | (48) op(e0, e1) = all_4_5 % 11.65/2.35 | % 11.65/2.35 | REDUCE: (17), (39) imply: % 11.65/2.35 | (49) op(e3, e0) = all_4_0 % 11.65/2.35 | % 11.65/2.35 | REDUCE: (17), (34) imply: % 11.65/2.35 | (50) op(e2, e0) = all_4_2 % 11.65/2.35 | % 11.65/2.35 | REDUCE: (17), (29) imply: % 11.65/2.35 | (51) op(e0, e0) = all_4_6 % 11.65/2.35 | % 11.65/2.35 | REDUCE: (17), (24) imply: % 11.65/2.35 | (52) op(e1, e0) = all_4_4 % 11.65/2.35 | % 11.65/2.35 | GROUND_INST: instantiating (function-axioms) with e0, all_4_22, e1, e1, % 11.65/2.35 | simplifying with (1), (20) gives: % 11.65/2.35 | (53) all_4_22 = e0 % 11.65/2.35 | % 11.65/2.35 | GROUND_INST: instantiating (function-axioms) with all_4_16, all_4_4, e0, e1, % 11.65/2.35 | simplifying with (21), (52) gives: % 11.65/2.35 | (54) all_4_4 = all_4_16 % 11.65/2.35 | % 11.65/2.35 | GROUND_INST: instantiating (function-axioms) with e1, all_4_4, e0, e1, % 11.65/2.35 | simplifying with (2), (52) gives: % 11.65/2.35 | (55) all_4_4 = e1 % 11.65/2.35 | % 11.65/2.35 | GROUND_INST: instantiating (function-axioms) with e3, all_4_15, e2, e1, % 11.65/2.35 | simplifying with (3), (22) gives: % 11.65/2.35 | (56) all_4_15 = e3 % 11.65/2.35 | % 11.65/2.35 | GROUND_INST: instantiating (function-axioms) with e2, all_4_14, e3, e1, % 11.65/2.35 | simplifying with (4), (23) gives: % 11.65/2.35 | (57) all_4_14 = e2 % 11.65/2.35 | % 11.65/2.36 | GROUND_INST: instantiating (function-axioms) with all_4_19, all_4_5, e1, e0, % 11.65/2.36 | simplifying with (25), (48) gives: % 11.65/2.36 | (58) all_4_5 = all_4_19 % 11.65/2.36 | % 11.65/2.36 | GROUND_INST: instantiating (function-axioms) with e1, all_4_5, e1, e0, % 11.65/2.36 | simplifying with (5), (48) gives: % 11.65/2.36 | (59) all_4_5 = e1 % 11.65/2.36 | % 11.65/2.36 | GROUND_INST: instantiating (function-axioms) with all_4_7, all_4_6, e0, e0, % 11.65/2.36 | simplifying with (47), (51) gives: % 11.65/2.36 | (60) all_4_6 = all_4_7 % 11.65/2.36 | % 11.65/2.36 | GROUND_INST: instantiating (function-axioms) with all_4_23, all_4_6, e0, e0, % 11.65/2.36 | simplifying with (26), (51) gives: % 11.65/2.36 | (61) all_4_6 = all_4_23 % 11.65/2.36 | % 11.65/2.36 | GROUND_INST: instantiating (function-axioms) with e0, all_4_6, e0, e0, % 11.65/2.36 | simplifying with (6), (51) gives: % 11.65/2.36 | (62) all_4_6 = e0 % 11.65/2.36 | % 11.65/2.36 | GROUND_INST: instantiating (function-axioms) with all_4_18, all_4_3, e2, e0, % 11.65/2.36 | simplifying with (27), (46) gives: % 11.65/2.36 | (63) all_4_3 = all_4_18 % 11.65/2.36 | % 11.65/2.36 | GROUND_INST: instantiating (function-axioms) with e2, all_4_3, e2, e0, % 11.65/2.36 | simplifying with (7), (46) gives: % 11.65/2.36 | (64) all_4_3 = e2 % 11.65/2.36 | % 11.65/2.36 | GROUND_INST: instantiating (function-axioms) with all_4_17, all_4_1, e3, e0, % 11.65/2.36 | simplifying with (28), (45) gives: % 11.65/2.36 | (65) all_4_1 = all_4_17 % 11.65/2.36 | % 11.65/2.36 | GROUND_INST: instantiating (function-axioms) with e3, all_4_1, e3, e0, % 11.65/2.36 | simplifying with (8), (45) gives: % 11.65/2.36 | (66) all_4_1 = e3 % 11.65/2.36 | % 11.65/2.36 | GROUND_INST: instantiating (function-axioms) with e3, all_4_12, e1, e2, % 11.65/2.36 | simplifying with (9), (30) gives: % 11.65/2.36 | (67) all_4_12 = e3 % 11.65/2.36 | % 11.65/2.36 | GROUND_INST: instantiating (function-axioms) with all_4_13, all_4_2, e0, e2, % 11.65/2.36 | simplifying with (31), (50) gives: % 11.65/2.36 | (68) all_4_2 = all_4_13 % 11.65/2.36 | % 11.65/2.36 | GROUND_INST: instantiating (function-axioms) with e2, all_4_2, e0, e2, % 11.65/2.36 | simplifying with (10), (50) gives: % 11.65/2.36 | (69) all_4_2 = e2 % 11.65/2.36 | % 11.65/2.36 | GROUND_INST: instantiating (function-axioms) with e0, all_4_21, e2, e2, % 11.65/2.36 | simplifying with (11), (32) gives: % 11.65/2.36 | (70) all_4_21 = e0 % 11.65/2.36 | % 11.65/2.36 | GROUND_INST: instantiating (function-axioms) with e1, all_4_11, e3, e2, % 11.65/2.36 | simplifying with (12), (33) gives: % 11.65/2.36 | (71) all_4_11 = e1 % 11.65/2.36 | % 11.65/2.36 | GROUND_INST: instantiating (function-axioms) with e2, all_4_9, e1, e3, % 11.65/2.36 | simplifying with (13), (35) gives: % 11.65/2.36 | (72) all_4_9 = e2 % 11.65/2.36 | % 11.65/2.36 | GROUND_INST: instantiating (function-axioms) with all_4_10, all_4_0, e0, e3, % 11.65/2.36 | simplifying with (36), (49) gives: % 11.65/2.36 | (73) all_4_0 = all_4_10 % 11.65/2.36 | % 11.65/2.36 | GROUND_INST: instantiating (function-axioms) with e3, all_4_0, e0, e3, % 11.65/2.36 | simplifying with (14), (49) gives: % 11.65/2.36 | (74) all_4_0 = e3 % 11.65/2.36 | % 11.65/2.36 | GROUND_INST: instantiating (function-axioms) with e1, all_4_8, e2, e3, % 11.65/2.36 | simplifying with (15), (37) gives: % 11.65/2.36 | (75) all_4_8 = e1 % 11.65/2.36 | % 11.65/2.36 | GROUND_INST: instantiating (function-axioms) with e0, all_4_20, e3, e3, % 11.65/2.36 | simplifying with (16), (38) gives: % 11.65/2.36 | (76) all_4_20 = e0 % 11.65/2.36 | % 11.65/2.36 | COMBINE_EQS: (73), (74) imply: % 11.65/2.36 | (77) all_4_10 = e3 % 11.65/2.36 | % 11.65/2.36 | COMBINE_EQS: (65), (66) imply: % 11.65/2.36 | (78) all_4_17 = e3 % 11.65/2.36 | % 11.65/2.36 | SIMP: (78) implies: % 11.65/2.36 | (79) all_4_17 = e3 % 11.65/2.36 | % 11.65/2.36 | COMBINE_EQS: (68), (69) imply: % 11.65/2.36 | (80) all_4_13 = e2 % 11.65/2.36 | % 11.65/2.36 | SIMP: (80) implies: % 11.65/2.36 | (81) all_4_13 = e2 % 11.65/2.36 | % 11.65/2.36 | COMBINE_EQS: (63), (64) imply: % 11.65/2.36 | (82) all_4_18 = e2 % 11.65/2.36 | % 11.65/2.36 | SIMP: (82) implies: % 11.65/2.36 | (83) all_4_18 = e2 % 11.65/2.36 | % 11.65/2.36 | COMBINE_EQS: (54), (55) imply: % 11.65/2.36 | (84) all_4_16 = e1 % 11.65/2.36 | % 11.65/2.36 | SIMP: (84) implies: % 11.65/2.36 | (85) all_4_16 = e1 % 11.65/2.36 | % 11.65/2.36 | COMBINE_EQS: (58), (59) imply: % 11.65/2.36 | (86) all_4_19 = e1 % 11.65/2.36 | % 11.65/2.36 | COMBINE_EQS: (60), (62) imply: % 11.65/2.36 | (87) all_4_7 = e0 % 11.65/2.36 | % 11.65/2.36 | COMBINE_EQS: (60), (61) imply: % 11.65/2.36 | (88) all_4_7 = all_4_23 % 11.65/2.36 | % 11.65/2.36 | COMBINE_EQS: (87), (88) imply: % 11.65/2.36 | (89) all_4_23 = e0 % 11.65/2.36 | % 11.65/2.36 | SIMP: (89) implies: % 11.65/2.36 | (90) all_4_23 = e0 % 11.65/2.36 | % 11.65/2.36 | BETA: splitting (44) gives: % 11.65/2.36 | % 11.65/2.36 | Case 1: % 11.65/2.36 | | % 11.65/2.36 | | (91) ~ (all_4_6 = e0) % 11.65/2.37 | | % 11.65/2.37 | | REDUCE: (62), (91) imply: % 11.65/2.37 | | (92) $false % 11.65/2.37 | | % 11.65/2.37 | | CLOSE: (92) is inconsistent. % 11.65/2.37 | | % 11.65/2.37 | Case 2: % 11.65/2.37 | | % 11.75/2.37 | | (93) ~ (all_4_0 = e3) | ~ (all_4_1 = e3) | ~ (all_4_2 = e2) | ~ % 11.75/2.37 | | (all_4_3 = e2) | ~ (all_4_4 = e1) | ~ (all_4_5 = e1) | ~ (all_4_7 % 11.75/2.37 | | = e0) | ( ~ (all_4_8 = e3) & ~ (all_4_8 = e2) & ~ (all_4_8 = e0) % 11.75/2.37 | | & ~ (all_4_8 = e1)) | ( ~ (all_4_8 = e3) & ~ (all_4_9 = e3) & ~ % 11.75/2.37 | | (all_4_10 = e3) & ~ (all_4_20 = e3)) | ( ~ (all_4_8 = e3) & ~ % 11.75/2.37 | | (all_4_15 = e3) & ~ (all_4_18 = e3) & ~ (all_4_21 = e3)) | ( ~ % 11.75/2.37 | | (all_4_8 = e2) & ~ (all_4_9 = e2) & ~ (all_4_10 = e2) & ~ % 11.75/2.37 | | (all_4_20 = e2)) | ( ~ (all_4_8 = e2) & ~ (all_4_15 = e2) & ~ % 11.75/2.37 | | (all_4_18 = e2) & ~ (all_4_21 = e2)) | ( ~ (all_4_8 = e0) & ~ % 11.75/2.37 | | (all_4_9 = e0) & ~ (all_4_10 = e0) & ~ (all_4_20 = e0)) | ( ~ % 11.75/2.37 | | (all_4_8 = e0) & ~ (all_4_15 = e0) & ~ (all_4_18 = e0) & ~ % 11.75/2.37 | | (all_4_21 = e0)) | ( ~ (all_4_8 = e1) & ~ (all_4_9 = e1) & ~ % 11.75/2.37 | | (all_4_10 = e1) & ~ (all_4_20 = e1)) | ( ~ (all_4_8 = e1) & ~ % 11.75/2.37 | | (all_4_15 = e1) & ~ (all_4_18 = e1) & ~ (all_4_21 = e1)) | ( ~ % 11.75/2.37 | | (all_4_9 = e3) & ~ (all_4_9 = e2) & ~ (all_4_9 = e0) & ~ % 11.75/2.37 | | (all_4_9 = e1)) | ( ~ (all_4_9 = e3) & ~ (all_4_12 = e3) & ~ % 11.75/2.37 | | (all_4_19 = e3) & ~ (all_4_22 = e3)) | ( ~ (all_4_9 = e2) & ~ % 11.75/2.37 | | (all_4_12 = e2) & ~ (all_4_19 = e2) & ~ (all_4_22 = e2)) | ( ~ % 11.75/2.37 | | (all_4_9 = e0) & ~ (all_4_12 = e0) & ~ (all_4_19 = e0) & ~ % 11.75/2.37 | | (all_4_22 = e0)) | ( ~ (all_4_9 = e1) & ~ (all_4_12 = e1) & ~ % 11.75/2.37 | | (all_4_19 = e1) & ~ (all_4_22 = e1)) | ( ~ (all_4_10 = e3) & ~ % 11.75/2.37 | | (all_4_10 = e2) & ~ (all_4_10 = e0) & ~ (all_4_10 = e1)) | ( ~ % 11.75/2.37 | | (all_4_10 = e3) & ~ (all_4_13 = e3) & ~ (all_4_16 = e3) & ~ % 11.75/2.37 | | (all_4_23 = e3)) | ( ~ (all_4_10 = e2) & ~ (all_4_13 = e2) & ~ % 11.75/2.37 | | (all_4_16 = e2) & ~ (all_4_23 = e2)) | ( ~ (all_4_10 = e0) & ~ % 11.75/2.37 | | (all_4_13 = e0) & ~ (all_4_16 = e0) & ~ (all_4_23 = e0)) | ( ~ % 11.75/2.37 | | (all_4_10 = e1) & ~ (all_4_13 = e1) & ~ (all_4_16 = e1) & ~ % 11.75/2.37 | | (all_4_23 = e1)) | ( ~ (all_4_11 = e3) & ~ (all_4_11 = e2) & ~ % 11.75/2.37 | | (all_4_11 = e0) & ~ (all_4_11 = e1)) | ( ~ (all_4_11 = e3) & ~ % 11.75/2.37 | | (all_4_12 = e3) & ~ (all_4_13 = e3) & ~ (all_4_21 = e3)) | ( ~ % 11.75/2.37 | | (all_4_11 = e3) & ~ (all_4_14 = e3) & ~ (all_4_17 = e3) & ~ % 11.75/2.37 | | (all_4_20 = e3)) | ( ~ (all_4_11 = e2) & ~ (all_4_12 = e2) & ~ % 11.75/2.37 | | (all_4_13 = e2) & ~ (all_4_21 = e2)) | ( ~ (all_4_11 = e2) & ~ % 11.75/2.37 | | (all_4_14 = e2) & ~ (all_4_17 = e2) & ~ (all_4_20 = e2)) | ( ~ % 11.75/2.37 | | (all_4_11 = e0) & ~ (all_4_12 = e0) & ~ (all_4_13 = e0) & ~ % 11.75/2.37 | | (all_4_21 = e0)) | ( ~ (all_4_11 = e0) & ~ (all_4_14 = e0) & ~ % 11.75/2.37 | | (all_4_17 = e0) & ~ (all_4_20 = e0)) | ( ~ (all_4_11 = e1) & ~ % 11.75/2.37 | | (all_4_12 = e1) & ~ (all_4_13 = e1) & ~ (all_4_21 = e1)) | ( ~ % 11.75/2.37 | | (all_4_11 = e1) & ~ (all_4_14 = e1) & ~ (all_4_17 = e1) & ~ % 11.75/2.37 | | (all_4_20 = e1)) | ( ~ (all_4_12 = e3) & ~ (all_4_12 = e2) & ~ % 11.75/2.37 | | (all_4_12 = e0) & ~ (all_4_12 = e1)) | ( ~ (all_4_13 = e3) & ~ % 11.75/2.37 | | (all_4_13 = e2) & ~ (all_4_13 = e0) & ~ (all_4_13 = e1)) | ( ~ % 11.75/2.37 | | (all_4_14 = e3) & ~ (all_4_14 = e2) & ~ (all_4_14 = e0) & ~ % 11.75/2.37 | | (all_4_14 = e1)) | ( ~ (all_4_14 = e3) & ~ (all_4_15 = e3) & ~ % 11.75/2.37 | | (all_4_16 = e3) & ~ (all_4_22 = e3)) | ( ~ (all_4_14 = e2) & ~ % 11.75/2.37 | | (all_4_15 = e2) & ~ (all_4_16 = e2) & ~ (all_4_22 = e2)) | ( ~ % 11.75/2.37 | | (all_4_14 = e0) & ~ (all_4_15 = e0) & ~ (all_4_16 = e0) & ~ % 11.75/2.37 | | (all_4_22 = e0)) | ( ~ (all_4_14 = e1) & ~ (all_4_15 = e1) & ~ % 11.75/2.37 | | (all_4_16 = e1) & ~ (all_4_22 = e1)) | ( ~ (all_4_15 = e3) & ~ % 11.75/2.37 | | (all_4_15 = e2) & ~ (all_4_15 = e0) & ~ (all_4_15 = e1)) | ( ~ % 11.75/2.37 | | (all_4_16 = e3) & ~ (all_4_16 = e2) & ~ (all_4_16 = e0) & ~ % 11.75/2.37 | | (all_4_16 = e1)) | ( ~ (all_4_17 = e3) & ~ (all_4_17 = e2) & ~ % 11.75/2.37 | | (all_4_17 = e0) & ~ (all_4_17 = e1)) | ( ~ (all_4_17 = e3) & ~ % 11.75/2.37 | | (all_4_18 = e3) & ~ (all_4_19 = e3) & ~ (all_4_23 = e3)) | ( ~ % 11.75/2.37 | | (all_4_17 = e2) & ~ (all_4_18 = e2) & ~ (all_4_19 = e2) & ~ % 11.75/2.37 | | (all_4_23 = e2)) | ( ~ (all_4_17 = e0) & ~ (all_4_18 = e0) & ~ % 11.75/2.37 | | (all_4_19 = e0) & ~ (all_4_23 = e0)) | ( ~ (all_4_17 = e1) & ~ % 11.75/2.37 | | (all_4_18 = e1) & ~ (all_4_19 = e1) & ~ (all_4_23 = e1)) | ( ~ % 11.75/2.37 | | (all_4_18 = e3) & ~ (all_4_18 = e2) & ~ (all_4_18 = e0) & ~ % 11.75/2.37 | | (all_4_18 = e1)) | ( ~ (all_4_19 = e3) & ~ (all_4_19 = e2) & ~ % 11.75/2.37 | | (all_4_19 = e0) & ~ (all_4_19 = e1)) | ( ~ (all_4_20 = e3) & ~ % 11.75/2.37 | | (all_4_20 = e2) & ~ (all_4_20 = e0) & ~ (all_4_20 = e1)) | ( ~ % 11.75/2.37 | | (all_4_21 = e3) & ~ (all_4_21 = e2) & ~ (all_4_21 = e0) & ~ % 11.75/2.37 | | (all_4_21 = e1)) | ( ~ (all_4_22 = e3) & ~ (all_4_22 = e2) & ~ % 11.75/2.37 | | (all_4_22 = e0) & ~ (all_4_22 = e1)) | ( ~ (all_4_23 = e3) & ~ % 11.75/2.37 | | (all_4_23 = e2) & ~ (all_4_23 = e0) & ~ (all_4_23 = e1)) | ( ~ % 11.75/2.37 | | (unit = e3) & ~ (unit = e2) & ~ (unit = e0) & ~ (unit = e1)) | % 11.75/2.37 | | (( ~ (all_4_20 = e3) | ~ (all_4_21 = e3) | ~ (all_4_22 = e3) | ~ % 11.75/2.37 | | (all_4_23 = e3)) & ( ~ (all_4_20 = e2) | ~ (all_4_21 = e2) | ~ % 11.75/2.37 | | (all_4_22 = e2) | ~ (all_4_23 = e2)) & ( ~ (all_4_20 = e0) | ~ % 11.75/2.37 | | (all_4_21 = e0) | ~ (all_4_22 = e0) | ~ (all_4_23 = e0)) & ( ~ % 11.75/2.37 | | (all_4_20 = e1) | ~ (all_4_21 = e1) | ~ (all_4_22 = e1) | ~ % 11.75/2.37 | | (all_4_23 = e1))) % 11.75/2.37 | | % 11.75/2.37 | | BETA: splitting (93) gives: % 11.75/2.37 | | % 11.75/2.37 | | Case 1: % 11.75/2.37 | | | % 11.75/2.37 | | | (94) ~ (all_4_7 = e0) % 11.75/2.37 | | | % 11.75/2.37 | | | REDUCE: (87), (94) imply: % 11.75/2.37 | | | (95) $false % 11.75/2.37 | | | % 11.75/2.37 | | | CLOSE: (95) is inconsistent. % 11.75/2.37 | | | % 11.75/2.37 | | Case 2: % 11.75/2.37 | | | % 11.75/2.38 | | | (96) ~ (all_4_0 = e3) | ~ (all_4_1 = e3) | ~ (all_4_2 = e2) | ~ % 11.75/2.38 | | | (all_4_3 = e2) | ~ (all_4_4 = e1) | ~ (all_4_5 = e1) | ( ~ % 11.75/2.38 | | | (all_4_8 = e3) & ~ (all_4_8 = e2) & ~ (all_4_8 = e0) & ~ % 11.75/2.38 | | | (all_4_8 = e1)) | ( ~ (all_4_8 = e3) & ~ (all_4_9 = e3) & ~ % 11.75/2.38 | | | (all_4_10 = e3) & ~ (all_4_20 = e3)) | ( ~ (all_4_8 = e3) & ~ % 11.75/2.38 | | | (all_4_15 = e3) & ~ (all_4_18 = e3) & ~ (all_4_21 = e3)) | ( ~ % 11.75/2.38 | | | (all_4_8 = e2) & ~ (all_4_9 = e2) & ~ (all_4_10 = e2) & ~ % 11.75/2.38 | | | (all_4_20 = e2)) | ( ~ (all_4_8 = e2) & ~ (all_4_15 = e2) & ~ % 11.75/2.38 | | | (all_4_18 = e2) & ~ (all_4_21 = e2)) | ( ~ (all_4_8 = e0) & ~ % 11.75/2.38 | | | (all_4_9 = e0) & ~ (all_4_10 = e0) & ~ (all_4_20 = e0)) | ( ~ % 11.75/2.38 | | | (all_4_8 = e0) & ~ (all_4_15 = e0) & ~ (all_4_18 = e0) & ~ % 11.75/2.38 | | | (all_4_21 = e0)) | ( ~ (all_4_8 = e1) & ~ (all_4_9 = e1) & ~ % 11.75/2.38 | | | (all_4_10 = e1) & ~ (all_4_20 = e1)) | ( ~ (all_4_8 = e1) & ~ % 11.75/2.38 | | | (all_4_15 = e1) & ~ (all_4_18 = e1) & ~ (all_4_21 = e1)) | ( ~ % 11.75/2.38 | | | (all_4_9 = e3) & ~ (all_4_9 = e2) & ~ (all_4_9 = e0) & ~ % 11.75/2.38 | | | (all_4_9 = e1)) | ( ~ (all_4_9 = e3) & ~ (all_4_12 = e3) & ~ % 11.75/2.38 | | | (all_4_19 = e3) & ~ (all_4_22 = e3)) | ( ~ (all_4_9 = e2) & ~ % 11.75/2.38 | | | (all_4_12 = e2) & ~ (all_4_19 = e2) & ~ (all_4_22 = e2)) | ( ~ % 11.75/2.38 | | | (all_4_9 = e0) & ~ (all_4_12 = e0) & ~ (all_4_19 = e0) & ~ % 11.75/2.38 | | | (all_4_22 = e0)) | ( ~ (all_4_9 = e1) & ~ (all_4_12 = e1) & ~ % 11.75/2.38 | | | (all_4_19 = e1) & ~ (all_4_22 = e1)) | ( ~ (all_4_10 = e3) & ~ % 11.75/2.38 | | | (all_4_10 = e2) & ~ (all_4_10 = e0) & ~ (all_4_10 = e1)) | ( ~ % 11.75/2.38 | | | (all_4_10 = e3) & ~ (all_4_13 = e3) & ~ (all_4_16 = e3) & ~ % 11.75/2.38 | | | (all_4_23 = e3)) | ( ~ (all_4_10 = e2) & ~ (all_4_13 = e2) & ~ % 11.75/2.38 | | | (all_4_16 = e2) & ~ (all_4_23 = e2)) | ( ~ (all_4_10 = e0) & ~ % 11.75/2.38 | | | (all_4_13 = e0) & ~ (all_4_16 = e0) & ~ (all_4_23 = e0)) | ( ~ % 11.75/2.38 | | | (all_4_10 = e1) & ~ (all_4_13 = e1) & ~ (all_4_16 = e1) & ~ % 11.75/2.38 | | | (all_4_23 = e1)) | ( ~ (all_4_11 = e3) & ~ (all_4_11 = e2) & ~ % 11.75/2.38 | | | (all_4_11 = e0) & ~ (all_4_11 = e1)) | ( ~ (all_4_11 = e3) & ~ % 11.75/2.38 | | | (all_4_12 = e3) & ~ (all_4_13 = e3) & ~ (all_4_21 = e3)) | ( ~ % 11.75/2.38 | | | (all_4_11 = e3) & ~ (all_4_14 = e3) & ~ (all_4_17 = e3) & ~ % 11.75/2.38 | | | (all_4_20 = e3)) | ( ~ (all_4_11 = e2) & ~ (all_4_12 = e2) & ~ % 11.75/2.38 | | | (all_4_13 = e2) & ~ (all_4_21 = e2)) | ( ~ (all_4_11 = e2) & ~ % 11.75/2.38 | | | (all_4_14 = e2) & ~ (all_4_17 = e2) & ~ (all_4_20 = e2)) | ( ~ % 11.75/2.38 | | | (all_4_11 = e0) & ~ (all_4_12 = e0) & ~ (all_4_13 = e0) & ~ % 11.75/2.38 | | | (all_4_21 = e0)) | ( ~ (all_4_11 = e0) & ~ (all_4_14 = e0) & ~ % 11.75/2.38 | | | (all_4_17 = e0) & ~ (all_4_20 = e0)) | ( ~ (all_4_11 = e1) & ~ % 11.75/2.38 | | | (all_4_12 = e1) & ~ (all_4_13 = e1) & ~ (all_4_21 = e1)) | ( ~ % 11.75/2.38 | | | (all_4_11 = e1) & ~ (all_4_14 = e1) & ~ (all_4_17 = e1) & ~ % 11.75/2.38 | | | (all_4_20 = e1)) | ( ~ (all_4_12 = e3) & ~ (all_4_12 = e2) & ~ % 11.75/2.38 | | | (all_4_12 = e0) & ~ (all_4_12 = e1)) | ( ~ (all_4_13 = e3) & ~ % 11.75/2.38 | | | (all_4_13 = e2) & ~ (all_4_13 = e0) & ~ (all_4_13 = e1)) | ( ~ % 11.75/2.38 | | | (all_4_14 = e3) & ~ (all_4_14 = e2) & ~ (all_4_14 = e0) & ~ % 11.75/2.38 | | | (all_4_14 = e1)) | ( ~ (all_4_14 = e3) & ~ (all_4_15 = e3) & ~ % 11.75/2.38 | | | (all_4_16 = e3) & ~ (all_4_22 = e3)) | ( ~ (all_4_14 = e2) & ~ % 11.75/2.38 | | | (all_4_15 = e2) & ~ (all_4_16 = e2) & ~ (all_4_22 = e2)) | ( ~ % 11.75/2.38 | | | (all_4_14 = e0) & ~ (all_4_15 = e0) & ~ (all_4_16 = e0) & ~ % 11.75/2.38 | | | (all_4_22 = e0)) | ( ~ (all_4_14 = e1) & ~ (all_4_15 = e1) & ~ % 11.75/2.38 | | | (all_4_16 = e1) & ~ (all_4_22 = e1)) | ( ~ (all_4_15 = e3) & ~ % 11.75/2.38 | | | (all_4_15 = e2) & ~ (all_4_15 = e0) & ~ (all_4_15 = e1)) | ( ~ % 11.75/2.38 | | | (all_4_16 = e3) & ~ (all_4_16 = e2) & ~ (all_4_16 = e0) & ~ % 11.75/2.38 | | | (all_4_16 = e1)) | ( ~ (all_4_17 = e3) & ~ (all_4_17 = e2) & ~ % 11.75/2.38 | | | (all_4_17 = e0) & ~ (all_4_17 = e1)) | ( ~ (all_4_17 = e3) & ~ % 11.75/2.38 | | | (all_4_18 = e3) & ~ (all_4_19 = e3) & ~ (all_4_23 = e3)) | ( ~ % 11.75/2.38 | | | (all_4_17 = e2) & ~ (all_4_18 = e2) & ~ (all_4_19 = e2) & ~ % 11.75/2.38 | | | (all_4_23 = e2)) | ( ~ (all_4_17 = e0) & ~ (all_4_18 = e0) & ~ % 11.75/2.38 | | | (all_4_19 = e0) & ~ (all_4_23 = e0)) | ( ~ (all_4_17 = e1) & ~ % 11.75/2.38 | | | (all_4_18 = e1) & ~ (all_4_19 = e1) & ~ (all_4_23 = e1)) | ( ~ % 11.75/2.38 | | | (all_4_18 = e3) & ~ (all_4_18 = e2) & ~ (all_4_18 = e0) & ~ % 11.75/2.38 | | | (all_4_18 = e1)) | ( ~ (all_4_19 = e3) & ~ (all_4_19 = e2) & ~ % 11.75/2.38 | | | (all_4_19 = e0) & ~ (all_4_19 = e1)) | ( ~ (all_4_20 = e3) & ~ % 11.75/2.38 | | | (all_4_20 = e2) & ~ (all_4_20 = e0) & ~ (all_4_20 = e1)) | ( ~ % 11.75/2.38 | | | (all_4_21 = e3) & ~ (all_4_21 = e2) & ~ (all_4_21 = e0) & ~ % 11.75/2.38 | | | (all_4_21 = e1)) | ( ~ (all_4_22 = e3) & ~ (all_4_22 = e2) & ~ % 11.75/2.38 | | | (all_4_22 = e0) & ~ (all_4_22 = e1)) | ( ~ (all_4_23 = e3) & ~ % 11.75/2.38 | | | (all_4_23 = e2) & ~ (all_4_23 = e0) & ~ (all_4_23 = e1)) | ( ~ % 11.75/2.38 | | | (unit = e3) & ~ (unit = e2) & ~ (unit = e0) & ~ (unit = e1)) % 11.75/2.38 | | | | (( ~ (all_4_20 = e3) | ~ (all_4_21 = e3) | ~ (all_4_22 = e3) | % 11.75/2.38 | | | ~ (all_4_23 = e3)) & ( ~ (all_4_20 = e2) | ~ (all_4_21 = e2) % 11.75/2.38 | | | | ~ (all_4_22 = e2) | ~ (all_4_23 = e2)) & ( ~ (all_4_20 = % 11.75/2.38 | | | e0) | ~ (all_4_21 = e0) | ~ (all_4_22 = e0) | ~ (all_4_23 % 11.75/2.38 | | | = e0)) & ( ~ (all_4_20 = e1) | ~ (all_4_21 = e1) | ~ % 11.75/2.38 | | | (all_4_22 = e1) | ~ (all_4_23 = e1))) % 11.75/2.38 | | | % 11.75/2.38 | | | BETA: splitting (96) gives: % 11.75/2.38 | | | % 11.75/2.38 | | | Case 1: % 11.75/2.38 | | | | % 11.75/2.38 | | | | (97) ~ (all_4_0 = e3) % 11.75/2.38 | | | | % 11.75/2.38 | | | | REDUCE: (74), (97) imply: % 11.75/2.38 | | | | (98) $false % 11.75/2.38 | | | | % 11.75/2.38 | | | | CLOSE: (98) is inconsistent. % 11.75/2.38 | | | | % 11.75/2.38 | | | Case 2: % 11.75/2.38 | | | | % 11.75/2.39 | | | | (99) ~ (all_4_1 = e3) | ~ (all_4_2 = e2) | ~ (all_4_3 = e2) | ~ % 11.75/2.39 | | | | (all_4_4 = e1) | ~ (all_4_5 = e1) | ( ~ (all_4_8 = e3) & ~ % 11.75/2.39 | | | | (all_4_8 = e2) & ~ (all_4_8 = e0) & ~ (all_4_8 = e1)) | ( ~ % 11.75/2.39 | | | | (all_4_8 = e3) & ~ (all_4_9 = e3) & ~ (all_4_10 = e3) & ~ % 11.75/2.39 | | | | (all_4_20 = e3)) | ( ~ (all_4_8 = e3) & ~ (all_4_15 = e3) & % 11.75/2.39 | | | | ~ (all_4_18 = e3) & ~ (all_4_21 = e3)) | ( ~ (all_4_8 = e2) & % 11.75/2.39 | | | | ~ (all_4_9 = e2) & ~ (all_4_10 = e2) & ~ (all_4_20 = e2)) | % 11.75/2.39 | | | | ( ~ (all_4_8 = e2) & ~ (all_4_15 = e2) & ~ (all_4_18 = e2) & % 11.75/2.39 | | | | ~ (all_4_21 = e2)) | ( ~ (all_4_8 = e0) & ~ (all_4_9 = e0) & % 11.75/2.39 | | | | ~ (all_4_10 = e0) & ~ (all_4_20 = e0)) | ( ~ (all_4_8 = e0) & % 11.75/2.39 | | | | ~ (all_4_15 = e0) & ~ (all_4_18 = e0) & ~ (all_4_21 = e0)) % 11.75/2.39 | | | | | ( ~ (all_4_8 = e1) & ~ (all_4_9 = e1) & ~ (all_4_10 = e1) & % 11.75/2.39 | | | | ~ (all_4_20 = e1)) | ( ~ (all_4_8 = e1) & ~ (all_4_15 = e1) & % 11.75/2.39 | | | | ~ (all_4_18 = e1) & ~ (all_4_21 = e1)) | ( ~ (all_4_9 = e3) % 11.75/2.39 | | | | & ~ (all_4_9 = e2) & ~ (all_4_9 = e0) & ~ (all_4_9 = e1)) | % 11.75/2.39 | | | | ( ~ (all_4_9 = e3) & ~ (all_4_12 = e3) & ~ (all_4_19 = e3) & % 11.75/2.39 | | | | ~ (all_4_22 = e3)) | ( ~ (all_4_9 = e2) & ~ (all_4_12 = e2) & % 11.75/2.39 | | | | ~ (all_4_19 = e2) & ~ (all_4_22 = e2)) | ( ~ (all_4_9 = e0) % 11.75/2.39 | | | | & ~ (all_4_12 = e0) & ~ (all_4_19 = e0) & ~ (all_4_22 = % 11.75/2.39 | | | | e0)) | ( ~ (all_4_9 = e1) & ~ (all_4_12 = e1) & ~ % 11.75/2.39 | | | | (all_4_19 = e1) & ~ (all_4_22 = e1)) | ( ~ (all_4_10 = e3) & % 11.75/2.39 | | | | ~ (all_4_10 = e2) & ~ (all_4_10 = e0) & ~ (all_4_10 = e1)) | % 11.75/2.39 | | | | ( ~ (all_4_10 = e3) & ~ (all_4_13 = e3) & ~ (all_4_16 = e3) & % 11.75/2.39 | | | | ~ (all_4_23 = e3)) | ( ~ (all_4_10 = e2) & ~ (all_4_13 = e2) % 11.75/2.39 | | | | & ~ (all_4_16 = e2) & ~ (all_4_23 = e2)) | ( ~ (all_4_10 = % 11.75/2.39 | | | | e0) & ~ (all_4_13 = e0) & ~ (all_4_16 = e0) & ~ (all_4_23 % 11.75/2.39 | | | | = e0)) | ( ~ (all_4_10 = e1) & ~ (all_4_13 = e1) & ~ % 11.75/2.39 | | | | (all_4_16 = e1) & ~ (all_4_23 = e1)) | ( ~ (all_4_11 = e3) & % 11.75/2.39 | | | | ~ (all_4_11 = e2) & ~ (all_4_11 = e0) & ~ (all_4_11 = e1)) | % 11.75/2.39 | | | | ( ~ (all_4_11 = e3) & ~ (all_4_12 = e3) & ~ (all_4_13 = e3) & % 11.75/2.39 | | | | ~ (all_4_21 = e3)) | ( ~ (all_4_11 = e3) & ~ (all_4_14 = e3) % 11.75/2.39 | | | | & ~ (all_4_17 = e3) & ~ (all_4_20 = e3)) | ( ~ (all_4_11 = % 11.75/2.39 | | | | e2) & ~ (all_4_12 = e2) & ~ (all_4_13 = e2) & ~ (all_4_21 % 11.75/2.39 | | | | = e2)) | ( ~ (all_4_11 = e2) & ~ (all_4_14 = e2) & ~ % 11.75/2.39 | | | | (all_4_17 = e2) & ~ (all_4_20 = e2)) | ( ~ (all_4_11 = e0) & % 11.75/2.39 | | | | ~ (all_4_12 = e0) & ~ (all_4_13 = e0) & ~ (all_4_21 = e0)) | % 11.75/2.39 | | | | ( ~ (all_4_11 = e0) & ~ (all_4_14 = e0) & ~ (all_4_17 = e0) & % 11.75/2.39 | | | | ~ (all_4_20 = e0)) | ( ~ (all_4_11 = e1) & ~ (all_4_12 = e1) % 11.75/2.39 | | | | & ~ (all_4_13 = e1) & ~ (all_4_21 = e1)) | ( ~ (all_4_11 = % 11.75/2.39 | | | | e1) & ~ (all_4_14 = e1) & ~ (all_4_17 = e1) & ~ (all_4_20 % 11.75/2.39 | | | | = e1)) | ( ~ (all_4_12 = e3) & ~ (all_4_12 = e2) & ~ % 11.75/2.39 | | | | (all_4_12 = e0) & ~ (all_4_12 = e1)) | ( ~ (all_4_13 = e3) & % 11.75/2.39 | | | | ~ (all_4_13 = e2) & ~ (all_4_13 = e0) & ~ (all_4_13 = e1)) | % 11.75/2.39 | | | | ( ~ (all_4_14 = e3) & ~ (all_4_14 = e2) & ~ (all_4_14 = e0) & % 11.75/2.39 | | | | ~ (all_4_14 = e1)) | ( ~ (all_4_14 = e3) & ~ (all_4_15 = e3) % 11.75/2.39 | | | | & ~ (all_4_16 = e3) & ~ (all_4_22 = e3)) | ( ~ (all_4_14 = % 11.75/2.39 | | | | e2) & ~ (all_4_15 = e2) & ~ (all_4_16 = e2) & ~ (all_4_22 % 11.75/2.39 | | | | = e2)) | ( ~ (all_4_14 = e0) & ~ (all_4_15 = e0) & ~ % 11.75/2.39 | | | | (all_4_16 = e0) & ~ (all_4_22 = e0)) | ( ~ (all_4_14 = e1) & % 11.75/2.39 | | | | ~ (all_4_15 = e1) & ~ (all_4_16 = e1) & ~ (all_4_22 = e1)) | % 11.75/2.39 | | | | ( ~ (all_4_15 = e3) & ~ (all_4_15 = e2) & ~ (all_4_15 = e0) & % 11.75/2.39 | | | | ~ (all_4_15 = e1)) | ( ~ (all_4_16 = e3) & ~ (all_4_16 = e2) % 11.75/2.39 | | | | & ~ (all_4_16 = e0) & ~ (all_4_16 = e1)) | ( ~ (all_4_17 = % 11.75/2.39 | | | | e3) & ~ (all_4_17 = e2) & ~ (all_4_17 = e0) & ~ (all_4_17 % 11.75/2.39 | | | | = e1)) | ( ~ (all_4_17 = e3) & ~ (all_4_18 = e3) & ~ % 11.75/2.39 | | | | (all_4_19 = e3) & ~ (all_4_23 = e3)) | ( ~ (all_4_17 = e2) & % 11.75/2.39 | | | | ~ (all_4_18 = e2) & ~ (all_4_19 = e2) & ~ (all_4_23 = e2)) | % 11.75/2.39 | | | | ( ~ (all_4_17 = e0) & ~ (all_4_18 = e0) & ~ (all_4_19 = e0) & % 11.75/2.39 | | | | ~ (all_4_23 = e0)) | ( ~ (all_4_17 = e1) & ~ (all_4_18 = e1) % 11.75/2.39 | | | | & ~ (all_4_19 = e1) & ~ (all_4_23 = e1)) | ( ~ (all_4_18 = % 11.75/2.39 | | | | e3) & ~ (all_4_18 = e2) & ~ (all_4_18 = e0) & ~ (all_4_18 % 11.75/2.39 | | | | = e1)) | ( ~ (all_4_19 = e3) & ~ (all_4_19 = e2) & ~ % 11.75/2.39 | | | | (all_4_19 = e0) & ~ (all_4_19 = e1)) | ( ~ (all_4_20 = e3) & % 11.75/2.39 | | | | ~ (all_4_20 = e2) & ~ (all_4_20 = e0) & ~ (all_4_20 = e1)) | % 11.75/2.39 | | | | ( ~ (all_4_21 = e3) & ~ (all_4_21 = e2) & ~ (all_4_21 = e0) & % 11.75/2.39 | | | | ~ (all_4_21 = e1)) | ( ~ (all_4_22 = e3) & ~ (all_4_22 = e2) % 11.75/2.39 | | | | & ~ (all_4_22 = e0) & ~ (all_4_22 = e1)) | ( ~ (all_4_23 = % 11.75/2.39 | | | | e3) & ~ (all_4_23 = e2) & ~ (all_4_23 = e0) & ~ (all_4_23 % 11.75/2.39 | | | | = e1)) | ( ~ (unit = e3) & ~ (unit = e2) & ~ (unit = e0) & % 11.75/2.39 | | | | ~ (unit = e1)) | (( ~ (all_4_20 = e3) | ~ (all_4_21 = e3) | % 11.75/2.39 | | | | ~ (all_4_22 = e3) | ~ (all_4_23 = e3)) & ( ~ (all_4_20 = % 11.75/2.39 | | | | e2) | ~ (all_4_21 = e2) | ~ (all_4_22 = e2) | ~ % 11.75/2.39 | | | | (all_4_23 = e2)) & ( ~ (all_4_20 = e0) | ~ (all_4_21 = e0) % 11.75/2.39 | | | | | ~ (all_4_22 = e0) | ~ (all_4_23 = e0)) & ( ~ (all_4_20 = % 11.75/2.39 | | | | e1) | ~ (all_4_21 = e1) | ~ (all_4_22 = e1) | ~ % 11.75/2.39 | | | | (all_4_23 = e1))) % 11.75/2.39 | | | | % 11.75/2.39 | | | | BETA: splitting (99) gives: % 11.75/2.39 | | | | % 11.75/2.39 | | | | Case 1: % 11.75/2.39 | | | | | % 11.75/2.39 | | | | | (100) ~ (all_4_1 = e3) % 11.75/2.39 | | | | | % 11.75/2.39 | | | | | REDUCE: (66), (100) imply: % 11.75/2.39 | | | | | (101) $false % 11.75/2.39 | | | | | % 11.75/2.39 | | | | | CLOSE: (101) is inconsistent. % 11.75/2.39 | | | | | % 11.75/2.39 | | | | Case 2: % 11.75/2.39 | | | | | % 11.75/2.39 | | | | | (102) ~ (all_4_2 = e2) | ~ (all_4_3 = e2) | ~ (all_4_4 = e1) | % 11.75/2.39 | | | | | ~ (all_4_5 = e1) | ( ~ (all_4_8 = e3) & ~ (all_4_8 = e2) & % 11.75/2.39 | | | | | ~ (all_4_8 = e0) & ~ (all_4_8 = e1)) | ( ~ (all_4_8 = e3) % 11.75/2.39 | | | | | & ~ (all_4_9 = e3) & ~ (all_4_10 = e3) & ~ (all_4_20 = % 11.75/2.39 | | | | | e3)) | ( ~ (all_4_8 = e3) & ~ (all_4_15 = e3) & ~ % 11.75/2.39 | | | | | (all_4_18 = e3) & ~ (all_4_21 = e3)) | ( ~ (all_4_8 = e2) % 11.75/2.39 | | | | | & ~ (all_4_9 = e2) & ~ (all_4_10 = e2) & ~ (all_4_20 = % 11.75/2.39 | | | | | e2)) | ( ~ (all_4_8 = e2) & ~ (all_4_15 = e2) & ~ % 11.75/2.39 | | | | | (all_4_18 = e2) & ~ (all_4_21 = e2)) | ( ~ (all_4_8 = e0) % 11.75/2.39 | | | | | & ~ (all_4_9 = e0) & ~ (all_4_10 = e0) & ~ (all_4_20 = % 11.75/2.39 | | | | | e0)) | ( ~ (all_4_8 = e0) & ~ (all_4_15 = e0) & ~ % 11.75/2.39 | | | | | (all_4_18 = e0) & ~ (all_4_21 = e0)) | ( ~ (all_4_8 = e1) % 11.75/2.39 | | | | | & ~ (all_4_9 = e1) & ~ (all_4_10 = e1) & ~ (all_4_20 = % 11.75/2.39 | | | | | e1)) | ( ~ (all_4_8 = e1) & ~ (all_4_15 = e1) & ~ % 11.75/2.39 | | | | | (all_4_18 = e1) & ~ (all_4_21 = e1)) | ( ~ (all_4_9 = e3) % 11.75/2.39 | | | | | & ~ (all_4_9 = e2) & ~ (all_4_9 = e0) & ~ (all_4_9 = % 11.75/2.39 | | | | | e1)) | ( ~ (all_4_9 = e3) & ~ (all_4_12 = e3) & ~ % 11.75/2.39 | | | | | (all_4_19 = e3) & ~ (all_4_22 = e3)) | ( ~ (all_4_9 = e2) % 11.75/2.39 | | | | | & ~ (all_4_12 = e2) & ~ (all_4_19 = e2) & ~ (all_4_22 = % 11.75/2.39 | | | | | e2)) | ( ~ (all_4_9 = e0) & ~ (all_4_12 = e0) & ~ % 11.75/2.39 | | | | | (all_4_19 = e0) & ~ (all_4_22 = e0)) | ( ~ (all_4_9 = e1) % 11.75/2.39 | | | | | & ~ (all_4_12 = e1) & ~ (all_4_19 = e1) & ~ (all_4_22 = % 11.75/2.39 | | | | | e1)) | ( ~ (all_4_10 = e3) & ~ (all_4_10 = e2) & ~ % 11.75/2.39 | | | | | (all_4_10 = e0) & ~ (all_4_10 = e1)) | ( ~ (all_4_10 = e3) % 11.75/2.39 | | | | | & ~ (all_4_13 = e3) & ~ (all_4_16 = e3) & ~ (all_4_23 = % 11.75/2.39 | | | | | e3)) | ( ~ (all_4_10 = e2) & ~ (all_4_13 = e2) & ~ % 11.75/2.39 | | | | | (all_4_16 = e2) & ~ (all_4_23 = e2)) | ( ~ (all_4_10 = e0) % 11.75/2.39 | | | | | & ~ (all_4_13 = e0) & ~ (all_4_16 = e0) & ~ (all_4_23 = % 11.75/2.39 | | | | | e0)) | ( ~ (all_4_10 = e1) & ~ (all_4_13 = e1) & ~ % 11.75/2.39 | | | | | (all_4_16 = e1) & ~ (all_4_23 = e1)) | ( ~ (all_4_11 = e3) % 11.75/2.39 | | | | | & ~ (all_4_11 = e2) & ~ (all_4_11 = e0) & ~ (all_4_11 = % 11.75/2.39 | | | | | e1)) | ( ~ (all_4_11 = e3) & ~ (all_4_12 = e3) & ~ % 11.75/2.39 | | | | | (all_4_13 = e3) & ~ (all_4_21 = e3)) | ( ~ (all_4_11 = e3) % 11.75/2.39 | | | | | & ~ (all_4_14 = e3) & ~ (all_4_17 = e3) & ~ (all_4_20 = % 11.75/2.39 | | | | | e3)) | ( ~ (all_4_11 = e2) & ~ (all_4_12 = e2) & ~ % 11.75/2.39 | | | | | (all_4_13 = e2) & ~ (all_4_21 = e2)) | ( ~ (all_4_11 = e2) % 11.75/2.39 | | | | | & ~ (all_4_14 = e2) & ~ (all_4_17 = e2) & ~ (all_4_20 = % 11.75/2.39 | | | | | e2)) | ( ~ (all_4_11 = e0) & ~ (all_4_12 = e0) & ~ % 11.75/2.39 | | | | | (all_4_13 = e0) & ~ (all_4_21 = e0)) | ( ~ (all_4_11 = e0) % 11.75/2.39 | | | | | & ~ (all_4_14 = e0) & ~ (all_4_17 = e0) & ~ (all_4_20 = % 11.75/2.39 | | | | | e0)) | ( ~ (all_4_11 = e1) & ~ (all_4_12 = e1) & ~ % 11.75/2.39 | | | | | (all_4_13 = e1) & ~ (all_4_21 = e1)) | ( ~ (all_4_11 = e1) % 11.75/2.39 | | | | | & ~ (all_4_14 = e1) & ~ (all_4_17 = e1) & ~ (all_4_20 = % 11.75/2.39 | | | | | e1)) | ( ~ (all_4_12 = e3) & ~ (all_4_12 = e2) & ~ % 11.75/2.39 | | | | | (all_4_12 = e0) & ~ (all_4_12 = e1)) | ( ~ (all_4_13 = e3) % 11.75/2.39 | | | | | & ~ (all_4_13 = e2) & ~ (all_4_13 = e0) & ~ (all_4_13 = % 11.75/2.39 | | | | | e1)) | ( ~ (all_4_14 = e3) & ~ (all_4_14 = e2) & ~ % 11.75/2.39 | | | | | (all_4_14 = e0) & ~ (all_4_14 = e1)) | ( ~ (all_4_14 = e3) % 11.75/2.39 | | | | | & ~ (all_4_15 = e3) & ~ (all_4_16 = e3) & ~ (all_4_22 = % 11.75/2.39 | | | | | e3)) | ( ~ (all_4_14 = e2) & ~ (all_4_15 = e2) & ~ % 11.75/2.39 | | | | | (all_4_16 = e2) & ~ (all_4_22 = e2)) | ( ~ (all_4_14 = e0) % 11.75/2.39 | | | | | & ~ (all_4_15 = e0) & ~ (all_4_16 = e0) & ~ (all_4_22 = % 11.75/2.39 | | | | | e0)) | ( ~ (all_4_14 = e1) & ~ (all_4_15 = e1) & ~ % 11.75/2.39 | | | | | (all_4_16 = e1) & ~ (all_4_22 = e1)) | ( ~ (all_4_15 = e3) % 11.75/2.39 | | | | | & ~ (all_4_15 = e2) & ~ (all_4_15 = e0) & ~ (all_4_15 = % 11.75/2.39 | | | | | e1)) | ( ~ (all_4_16 = e3) & ~ (all_4_16 = e2) & ~ % 11.75/2.39 | | | | | (all_4_16 = e0) & ~ (all_4_16 = e1)) | ( ~ (all_4_17 = e3) % 11.75/2.39 | | | | | & ~ (all_4_17 = e2) & ~ (all_4_17 = e0) & ~ (all_4_17 = % 11.75/2.39 | | | | | e1)) | ( ~ (all_4_17 = e3) & ~ (all_4_18 = e3) & ~ % 11.75/2.39 | | | | | (all_4_19 = e3) & ~ (all_4_23 = e3)) | ( ~ (all_4_17 = e2) % 11.75/2.39 | | | | | & ~ (all_4_18 = e2) & ~ (all_4_19 = e2) & ~ (all_4_23 = % 11.75/2.39 | | | | | e2)) | ( ~ (all_4_17 = e0) & ~ (all_4_18 = e0) & ~ % 11.75/2.39 | | | | | (all_4_19 = e0) & ~ (all_4_23 = e0)) | ( ~ (all_4_17 = e1) % 11.75/2.39 | | | | | & ~ (all_4_18 = e1) & ~ (all_4_19 = e1) & ~ (all_4_23 = % 11.75/2.39 | | | | | e1)) | ( ~ (all_4_18 = e3) & ~ (all_4_18 = e2) & ~ % 11.75/2.39 | | | | | (all_4_18 = e0) & ~ (all_4_18 = e1)) | ( ~ (all_4_19 = e3) % 11.75/2.39 | | | | | & ~ (all_4_19 = e2) & ~ (all_4_19 = e0) & ~ (all_4_19 = % 11.75/2.39 | | | | | e1)) | ( ~ (all_4_20 = e3) & ~ (all_4_20 = e2) & ~ % 11.75/2.39 | | | | | (all_4_20 = e0) & ~ (all_4_20 = e1)) | ( ~ (all_4_21 = e3) % 11.75/2.39 | | | | | & ~ (all_4_21 = e2) & ~ (all_4_21 = e0) & ~ (all_4_21 = % 11.75/2.39 | | | | | e1)) | ( ~ (all_4_22 = e3) & ~ (all_4_22 = e2) & ~ % 11.75/2.39 | | | | | (all_4_22 = e0) & ~ (all_4_22 = e1)) | ( ~ (all_4_23 = e3) % 11.75/2.39 | | | | | & ~ (all_4_23 = e2) & ~ (all_4_23 = e0) & ~ (all_4_23 = % 11.75/2.39 | | | | | e1)) | ( ~ (unit = e3) & ~ (unit = e2) & ~ (unit = e0) % 11.75/2.39 | | | | | & ~ (unit = e1)) | (( ~ (all_4_20 = e3) | ~ (all_4_21 = % 11.75/2.39 | | | | | e3) | ~ (all_4_22 = e3) | ~ (all_4_23 = e3)) & ( ~ % 11.75/2.39 | | | | | (all_4_20 = e2) | ~ (all_4_21 = e2) | ~ (all_4_22 = e2) % 11.75/2.39 | | | | | | ~ (all_4_23 = e2)) & ( ~ (all_4_20 = e0) | ~ % 11.75/2.39 | | | | | (all_4_21 = e0) | ~ (all_4_22 = e0) | ~ (all_4_23 = % 11.75/2.39 | | | | | e0)) & ( ~ (all_4_20 = e1) | ~ (all_4_21 = e1) | ~ % 11.75/2.39 | | | | | (all_4_22 = e1) | ~ (all_4_23 = e1))) % 11.75/2.39 | | | | | % 11.75/2.39 | | | | | BETA: splitting (102) gives: % 11.75/2.39 | | | | | % 11.75/2.39 | | | | | Case 1: % 11.75/2.39 | | | | | | % 11.75/2.39 | | | | | | (103) ~ (all_4_2 = e2) % 11.75/2.39 | | | | | | % 11.75/2.39 | | | | | | REDUCE: (69), (103) imply: % 11.75/2.39 | | | | | | (104) $false % 11.75/2.39 | | | | | | % 11.75/2.39 | | | | | | CLOSE: (104) is inconsistent. % 11.75/2.39 | | | | | | % 11.75/2.39 | | | | | Case 2: % 11.75/2.39 | | | | | | % 11.75/2.40 | | | | | | (105) ~ (all_4_3 = e2) | ~ (all_4_4 = e1) | ~ (all_4_5 = e1) | % 11.75/2.40 | | | | | | ( ~ (all_4_8 = e3) & ~ (all_4_8 = e2) & ~ (all_4_8 = e0) % 11.75/2.40 | | | | | | & ~ (all_4_8 = e1)) | ( ~ (all_4_8 = e3) & ~ (all_4_9 = % 11.75/2.40 | | | | | | e3) & ~ (all_4_10 = e3) & ~ (all_4_20 = e3)) | ( ~ % 11.75/2.40 | | | | | | (all_4_8 = e3) & ~ (all_4_15 = e3) & ~ (all_4_18 = e3) % 11.75/2.40 | | | | | | & ~ (all_4_21 = e3)) | ( ~ (all_4_8 = e2) & ~ (all_4_9 % 11.75/2.40 | | | | | | = e2) & ~ (all_4_10 = e2) & ~ (all_4_20 = e2)) | ( ~ % 11.75/2.40 | | | | | | (all_4_8 = e2) & ~ (all_4_15 = e2) & ~ (all_4_18 = e2) % 11.75/2.40 | | | | | | & ~ (all_4_21 = e2)) | ( ~ (all_4_8 = e0) & ~ (all_4_9 % 11.75/2.40 | | | | | | = e0) & ~ (all_4_10 = e0) & ~ (all_4_20 = e0)) | ( ~ % 11.75/2.40 | | | | | | (all_4_8 = e0) & ~ (all_4_15 = e0) & ~ (all_4_18 = e0) % 11.75/2.40 | | | | | | & ~ (all_4_21 = e0)) | ( ~ (all_4_8 = e1) & ~ (all_4_9 % 11.75/2.40 | | | | | | = e1) & ~ (all_4_10 = e1) & ~ (all_4_20 = e1)) | ( ~ % 11.75/2.40 | | | | | | (all_4_8 = e1) & ~ (all_4_15 = e1) & ~ (all_4_18 = e1) % 11.75/2.40 | | | | | | & ~ (all_4_21 = e1)) | ( ~ (all_4_9 = e3) & ~ (all_4_9 % 11.75/2.40 | | | | | | = e2) & ~ (all_4_9 = e0) & ~ (all_4_9 = e1)) | ( ~ % 11.75/2.40 | | | | | | (all_4_9 = e3) & ~ (all_4_12 = e3) & ~ (all_4_19 = e3) % 11.75/2.40 | | | | | | & ~ (all_4_22 = e3)) | ( ~ (all_4_9 = e2) & ~ (all_4_12 % 11.75/2.40 | | | | | | = e2) & ~ (all_4_19 = e2) & ~ (all_4_22 = e2)) | ( ~ % 11.75/2.40 | | | | | | (all_4_9 = e0) & ~ (all_4_12 = e0) & ~ (all_4_19 = e0) % 11.75/2.40 | | | | | | & ~ (all_4_22 = e0)) | ( ~ (all_4_9 = e1) & ~ (all_4_12 % 11.75/2.40 | | | | | | = e1) & ~ (all_4_19 = e1) & ~ (all_4_22 = e1)) | ( ~ % 11.75/2.40 | | | | | | (all_4_10 = e3) & ~ (all_4_10 = e2) & ~ (all_4_10 = e0) % 11.75/2.40 | | | | | | & ~ (all_4_10 = e1)) | ( ~ (all_4_10 = e3) & ~ % 11.75/2.40 | | | | | | (all_4_13 = e3) & ~ (all_4_16 = e3) & ~ (all_4_23 = % 11.75/2.40 | | | | | | e3)) | ( ~ (all_4_10 = e2) & ~ (all_4_13 = e2) & ~ % 11.75/2.40 | | | | | | (all_4_16 = e2) & ~ (all_4_23 = e2)) | ( ~ (all_4_10 = % 11.75/2.40 | | | | | | e0) & ~ (all_4_13 = e0) & ~ (all_4_16 = e0) & ~ % 11.75/2.40 | | | | | | (all_4_23 = e0)) | ( ~ (all_4_10 = e1) & ~ (all_4_13 = % 11.75/2.40 | | | | | | e1) & ~ (all_4_16 = e1) & ~ (all_4_23 = e1)) | ( ~ % 11.75/2.40 | | | | | | (all_4_11 = e3) & ~ (all_4_11 = e2) & ~ (all_4_11 = e0) % 11.75/2.40 | | | | | | & ~ (all_4_11 = e1)) | ( ~ (all_4_11 = e3) & ~ % 11.75/2.40 | | | | | | (all_4_12 = e3) & ~ (all_4_13 = e3) & ~ (all_4_21 = % 11.75/2.40 | | | | | | e3)) | ( ~ (all_4_11 = e3) & ~ (all_4_14 = e3) & ~ % 11.75/2.40 | | | | | | (all_4_17 = e3) & ~ (all_4_20 = e3)) | ( ~ (all_4_11 = % 11.75/2.40 | | | | | | e2) & ~ (all_4_12 = e2) & ~ (all_4_13 = e2) & ~ % 11.75/2.40 | | | | | | (all_4_21 = e2)) | ( ~ (all_4_11 = e2) & ~ (all_4_14 = % 11.75/2.40 | | | | | | e2) & ~ (all_4_17 = e2) & ~ (all_4_20 = e2)) | ( ~ % 11.75/2.40 | | | | | | (all_4_11 = e0) & ~ (all_4_12 = e0) & ~ (all_4_13 = e0) % 11.75/2.40 | | | | | | & ~ (all_4_21 = e0)) | ( ~ (all_4_11 = e0) & ~ % 11.75/2.40 | | | | | | (all_4_14 = e0) & ~ (all_4_17 = e0) & ~ (all_4_20 = % 11.75/2.40 | | | | | | e0)) | ( ~ (all_4_11 = e1) & ~ (all_4_12 = e1) & ~ % 11.75/2.40 | | | | | | (all_4_13 = e1) & ~ (all_4_21 = e1)) | ( ~ (all_4_11 = % 11.75/2.40 | | | | | | e1) & ~ (all_4_14 = e1) & ~ (all_4_17 = e1) & ~ % 11.75/2.40 | | | | | | (all_4_20 = e1)) | ( ~ (all_4_12 = e3) & ~ (all_4_12 = % 11.75/2.40 | | | | | | e2) & ~ (all_4_12 = e0) & ~ (all_4_12 = e1)) | ( ~ % 11.75/2.40 | | | | | | (all_4_13 = e3) & ~ (all_4_13 = e2) & ~ (all_4_13 = e0) % 11.75/2.40 | | | | | | & ~ (all_4_13 = e1)) | ( ~ (all_4_14 = e3) & ~ % 11.75/2.40 | | | | | | (all_4_14 = e2) & ~ (all_4_14 = e0) & ~ (all_4_14 = % 11.75/2.40 | | | | | | e1)) | ( ~ (all_4_14 = e3) & ~ (all_4_15 = e3) & ~ % 11.75/2.40 | | | | | | (all_4_16 = e3) & ~ (all_4_22 = e3)) | ( ~ (all_4_14 = % 11.75/2.40 | | | | | | e2) & ~ (all_4_15 = e2) & ~ (all_4_16 = e2) & ~ % 11.75/2.40 | | | | | | (all_4_22 = e2)) | ( ~ (all_4_14 = e0) & ~ (all_4_15 = % 11.75/2.40 | | | | | | e0) & ~ (all_4_16 = e0) & ~ (all_4_22 = e0)) | ( ~ % 11.75/2.40 | | | | | | (all_4_14 = e1) & ~ (all_4_15 = e1) & ~ (all_4_16 = e1) % 11.75/2.40 | | | | | | & ~ (all_4_22 = e1)) | ( ~ (all_4_15 = e3) & ~ % 11.75/2.40 | | | | | | (all_4_15 = e2) & ~ (all_4_15 = e0) & ~ (all_4_15 = % 11.75/2.40 | | | | | | e1)) | ( ~ (all_4_16 = e3) & ~ (all_4_16 = e2) & ~ % 11.75/2.40 | | | | | | (all_4_16 = e0) & ~ (all_4_16 = e1)) | ( ~ (all_4_17 = % 11.75/2.40 | | | | | | e3) & ~ (all_4_17 = e2) & ~ (all_4_17 = e0) & ~ % 11.75/2.40 | | | | | | (all_4_17 = e1)) | ( ~ (all_4_17 = e3) & ~ (all_4_18 = % 11.75/2.40 | | | | | | e3) & ~ (all_4_19 = e3) & ~ (all_4_23 = e3)) | ( ~ % 11.75/2.40 | | | | | | (all_4_17 = e2) & ~ (all_4_18 = e2) & ~ (all_4_19 = e2) % 11.75/2.40 | | | | | | & ~ (all_4_23 = e2)) | ( ~ (all_4_17 = e0) & ~ % 11.75/2.40 | | | | | | (all_4_18 = e0) & ~ (all_4_19 = e0) & ~ (all_4_23 = % 11.75/2.40 | | | | | | e0)) | ( ~ (all_4_17 = e1) & ~ (all_4_18 = e1) & ~ % 11.75/2.40 | | | | | | (all_4_19 = e1) & ~ (all_4_23 = e1)) | ( ~ (all_4_18 = % 11.75/2.40 | | | | | | e3) & ~ (all_4_18 = e2) & ~ (all_4_18 = e0) & ~ % 11.75/2.40 | | | | | | (all_4_18 = e1)) | ( ~ (all_4_19 = e3) & ~ (all_4_19 = % 11.75/2.40 | | | | | | e2) & ~ (all_4_19 = e0) & ~ (all_4_19 = e1)) | ( ~ % 11.75/2.40 | | | | | | (all_4_20 = e3) & ~ (all_4_20 = e2) & ~ (all_4_20 = e0) % 11.75/2.40 | | | | | | & ~ (all_4_20 = e1)) | ( ~ (all_4_21 = e3) & ~ % 11.75/2.40 | | | | | | (all_4_21 = e2) & ~ (all_4_21 = e0) & ~ (all_4_21 = % 11.75/2.40 | | | | | | e1)) | ( ~ (all_4_22 = e3) & ~ (all_4_22 = e2) & ~ % 11.75/2.40 | | | | | | (all_4_22 = e0) & ~ (all_4_22 = e1)) | ( ~ (all_4_23 = % 11.75/2.40 | | | | | | e3) & ~ (all_4_23 = e2) & ~ (all_4_23 = e0) & ~ % 11.75/2.40 | | | | | | (all_4_23 = e1)) | ( ~ (unit = e3) & ~ (unit = e2) & ~ % 11.75/2.40 | | | | | | (unit = e0) & ~ (unit = e1)) | (( ~ (all_4_20 = e3) | ~ % 11.75/2.40 | | | | | | (all_4_21 = e3) | ~ (all_4_22 = e3) | ~ (all_4_23 = % 11.75/2.40 | | | | | | e3)) & ( ~ (all_4_20 = e2) | ~ (all_4_21 = e2) | ~ % 11.75/2.40 | | | | | | (all_4_22 = e2) | ~ (all_4_23 = e2)) & ( ~ (all_4_20 = % 11.75/2.40 | | | | | | e0) | ~ (all_4_21 = e0) | ~ (all_4_22 = e0) | ~ % 11.75/2.40 | | | | | | (all_4_23 = e0)) & ( ~ (all_4_20 = e1) | ~ (all_4_21 = % 11.75/2.40 | | | | | | e1) | ~ (all_4_22 = e1) | ~ (all_4_23 = e1))) % 11.75/2.40 | | | | | | % 11.75/2.40 | | | | | | BETA: splitting (105) gives: % 11.75/2.40 | | | | | | % 11.75/2.40 | | | | | | Case 1: % 11.75/2.40 | | | | | | | % 11.75/2.40 | | | | | | | (106) ~ (all_4_3 = e2) % 11.75/2.40 | | | | | | | % 11.75/2.40 | | | | | | | REDUCE: (64), (106) imply: % 11.75/2.40 | | | | | | | (107) $false % 11.75/2.40 | | | | | | | % 11.75/2.40 | | | | | | | CLOSE: (107) is inconsistent. % 11.75/2.40 | | | | | | | % 11.75/2.40 | | | | | | Case 2: % 11.75/2.40 | | | | | | | % 11.75/2.41 | | | | | | | (108) ~ (all_4_4 = e1) | ~ (all_4_5 = e1) | ( ~ (all_4_8 = % 11.75/2.41 | | | | | | | e3) & ~ (all_4_8 = e2) & ~ (all_4_8 = e0) & ~ % 11.75/2.41 | | | | | | | (all_4_8 = e1)) | ( ~ (all_4_8 = e3) & ~ (all_4_9 = % 11.75/2.41 | | | | | | | e3) & ~ (all_4_10 = e3) & ~ (all_4_20 = e3)) | ( ~ % 11.75/2.41 | | | | | | | (all_4_8 = e3) & ~ (all_4_15 = e3) & ~ (all_4_18 = % 11.75/2.41 | | | | | | | e3) & ~ (all_4_21 = e3)) | ( ~ (all_4_8 = e2) & ~ % 11.75/2.41 | | | | | | | (all_4_9 = e2) & ~ (all_4_10 = e2) & ~ (all_4_20 = % 11.75/2.41 | | | | | | | e2)) | ( ~ (all_4_8 = e2) & ~ (all_4_15 = e2) & ~ % 11.75/2.41 | | | | | | | (all_4_18 = e2) & ~ (all_4_21 = e2)) | ( ~ (all_4_8 = % 11.75/2.41 | | | | | | | e0) & ~ (all_4_9 = e0) & ~ (all_4_10 = e0) & ~ % 11.75/2.41 | | | | | | | (all_4_20 = e0)) | ( ~ (all_4_8 = e0) & ~ (all_4_15 = % 11.75/2.41 | | | | | | | e0) & ~ (all_4_18 = e0) & ~ (all_4_21 = e0)) | ( ~ % 11.75/2.41 | | | | | | | (all_4_8 = e1) & ~ (all_4_9 = e1) & ~ (all_4_10 = e1) % 11.75/2.41 | | | | | | | & ~ (all_4_20 = e1)) | ( ~ (all_4_8 = e1) & ~ % 11.75/2.41 | | | | | | | (all_4_15 = e1) & ~ (all_4_18 = e1) & ~ (all_4_21 = % 11.75/2.41 | | | | | | | e1)) | ( ~ (all_4_9 = e3) & ~ (all_4_9 = e2) & ~ % 11.75/2.41 | | | | | | | (all_4_9 = e0) & ~ (all_4_9 = e1)) | ( ~ (all_4_9 = % 11.75/2.41 | | | | | | | e3) & ~ (all_4_12 = e3) & ~ (all_4_19 = e3) & ~ % 11.75/2.41 | | | | | | | (all_4_22 = e3)) | ( ~ (all_4_9 = e2) & ~ (all_4_12 = % 11.75/2.41 | | | | | | | e2) & ~ (all_4_19 = e2) & ~ (all_4_22 = e2)) | ( ~ % 11.75/2.41 | | | | | | | (all_4_9 = e0) & ~ (all_4_12 = e0) & ~ (all_4_19 = % 11.75/2.41 | | | | | | | e0) & ~ (all_4_22 = e0)) | ( ~ (all_4_9 = e1) & ~ % 11.75/2.41 | | | | | | | (all_4_12 = e1) & ~ (all_4_19 = e1) & ~ (all_4_22 = % 11.75/2.41 | | | | | | | e1)) | ( ~ (all_4_10 = e3) & ~ (all_4_10 = e2) & ~ % 11.75/2.41 | | | | | | | (all_4_10 = e0) & ~ (all_4_10 = e1)) | ( ~ (all_4_10 = % 11.75/2.41 | | | | | | | e3) & ~ (all_4_13 = e3) & ~ (all_4_16 = e3) & ~ % 11.75/2.41 | | | | | | | (all_4_23 = e3)) | ( ~ (all_4_10 = e2) & ~ (all_4_13 = % 11.75/2.41 | | | | | | | e2) & ~ (all_4_16 = e2) & ~ (all_4_23 = e2)) | ( ~ % 11.75/2.41 | | | | | | | (all_4_10 = e0) & ~ (all_4_13 = e0) & ~ (all_4_16 = % 11.75/2.41 | | | | | | | e0) & ~ (all_4_23 = e0)) | ( ~ (all_4_10 = e1) & ~ % 11.75/2.41 | | | | | | | (all_4_13 = e1) & ~ (all_4_16 = e1) & ~ (all_4_23 = % 11.75/2.41 | | | | | | | e1)) | ( ~ (all_4_11 = e3) & ~ (all_4_11 = e2) & ~ % 11.75/2.41 | | | | | | | (all_4_11 = e0) & ~ (all_4_11 = e1)) | ( ~ (all_4_11 = % 11.75/2.41 | | | | | | | e3) & ~ (all_4_12 = e3) & ~ (all_4_13 = e3) & ~ % 11.75/2.41 | | | | | | | (all_4_21 = e3)) | ( ~ (all_4_11 = e3) & ~ (all_4_14 = % 11.75/2.41 | | | | | | | e3) & ~ (all_4_17 = e3) & ~ (all_4_20 = e3)) | ( ~ % 11.75/2.41 | | | | | | | (all_4_11 = e2) & ~ (all_4_12 = e2) & ~ (all_4_13 = % 11.75/2.41 | | | | | | | e2) & ~ (all_4_21 = e2)) | ( ~ (all_4_11 = e2) & ~ % 11.75/2.41 | | | | | | | (all_4_14 = e2) & ~ (all_4_17 = e2) & ~ (all_4_20 = % 11.75/2.41 | | | | | | | e2)) | ( ~ (all_4_11 = e0) & ~ (all_4_12 = e0) & ~ % 11.75/2.41 | | | | | | | (all_4_13 = e0) & ~ (all_4_21 = e0)) | ( ~ (all_4_11 = % 11.75/2.41 | | | | | | | e0) & ~ (all_4_14 = e0) & ~ (all_4_17 = e0) & ~ % 11.75/2.41 | | | | | | | (all_4_20 = e0)) | ( ~ (all_4_11 = e1) & ~ (all_4_12 = % 11.75/2.41 | | | | | | | e1) & ~ (all_4_13 = e1) & ~ (all_4_21 = e1)) | ( ~ % 11.75/2.41 | | | | | | | (all_4_11 = e1) & ~ (all_4_14 = e1) & ~ (all_4_17 = % 11.75/2.41 | | | | | | | e1) & ~ (all_4_20 = e1)) | ( ~ (all_4_12 = e3) & ~ % 11.75/2.41 | | | | | | | (all_4_12 = e2) & ~ (all_4_12 = e0) & ~ (all_4_12 = % 11.75/2.41 | | | | | | | e1)) | ( ~ (all_4_13 = e3) & ~ (all_4_13 = e2) & ~ % 11.75/2.41 | | | | | | | (all_4_13 = e0) & ~ (all_4_13 = e1)) | ( ~ (all_4_14 = % 11.75/2.41 | | | | | | | e3) & ~ (all_4_14 = e2) & ~ (all_4_14 = e0) & ~ % 11.75/2.41 | | | | | | | (all_4_14 = e1)) | ( ~ (all_4_14 = e3) & ~ (all_4_15 = % 11.75/2.41 | | | | | | | e3) & ~ (all_4_16 = e3) & ~ (all_4_22 = e3)) | ( ~ % 11.75/2.41 | | | | | | | (all_4_14 = e2) & ~ (all_4_15 = e2) & ~ (all_4_16 = % 11.75/2.41 | | | | | | | e2) & ~ (all_4_22 = e2)) | ( ~ (all_4_14 = e0) & ~ % 11.75/2.41 | | | | | | | (all_4_15 = e0) & ~ (all_4_16 = e0) & ~ (all_4_22 = % 11.75/2.41 | | | | | | | e0)) | ( ~ (all_4_14 = e1) & ~ (all_4_15 = e1) & ~ % 11.75/2.41 | | | | | | | (all_4_16 = e1) & ~ (all_4_22 = e1)) | ( ~ (all_4_15 = % 11.75/2.41 | | | | | | | e3) & ~ (all_4_15 = e2) & ~ (all_4_15 = e0) & ~ % 11.75/2.41 | | | | | | | (all_4_15 = e1)) | ( ~ (all_4_16 = e3) & ~ (all_4_16 = % 11.75/2.41 | | | | | | | e2) & ~ (all_4_16 = e0) & ~ (all_4_16 = e1)) | ( ~ % 11.75/2.41 | | | | | | | (all_4_17 = e3) & ~ (all_4_17 = e2) & ~ (all_4_17 = % 11.75/2.41 | | | | | | | e0) & ~ (all_4_17 = e1)) | ( ~ (all_4_17 = e3) & ~ % 11.75/2.41 | | | | | | | (all_4_18 = e3) & ~ (all_4_19 = e3) & ~ (all_4_23 = % 11.75/2.41 | | | | | | | e3)) | ( ~ (all_4_17 = e2) & ~ (all_4_18 = e2) & ~ % 11.75/2.41 | | | | | | | (all_4_19 = e2) & ~ (all_4_23 = e2)) | ( ~ (all_4_17 = % 11.75/2.41 | | | | | | | e0) & ~ (all_4_18 = e0) & ~ (all_4_19 = e0) & ~ % 11.75/2.41 | | | | | | | (all_4_23 = e0)) | ( ~ (all_4_17 = e1) & ~ (all_4_18 = % 11.75/2.41 | | | | | | | e1) & ~ (all_4_19 = e1) & ~ (all_4_23 = e1)) | ( ~ % 11.75/2.41 | | | | | | | (all_4_18 = e3) & ~ (all_4_18 = e2) & ~ (all_4_18 = % 11.75/2.41 | | | | | | | e0) & ~ (all_4_18 = e1)) | ( ~ (all_4_19 = e3) & ~ % 11.75/2.41 | | | | | | | (all_4_19 = e2) & ~ (all_4_19 = e0) & ~ (all_4_19 = % 11.75/2.41 | | | | | | | e1)) | ( ~ (all_4_20 = e3) & ~ (all_4_20 = e2) & ~ % 11.75/2.41 | | | | | | | (all_4_20 = e0) & ~ (all_4_20 = e1)) | ( ~ (all_4_21 = % 11.75/2.41 | | | | | | | e3) & ~ (all_4_21 = e2) & ~ (all_4_21 = e0) & ~ % 11.75/2.41 | | | | | | | (all_4_21 = e1)) | ( ~ (all_4_22 = e3) & ~ (all_4_22 = % 11.75/2.41 | | | | | | | e2) & ~ (all_4_22 = e0) & ~ (all_4_22 = e1)) | ( ~ % 11.75/2.41 | | | | | | | (all_4_23 = e3) & ~ (all_4_23 = e2) & ~ (all_4_23 = % 11.75/2.41 | | | | | | | e0) & ~ (all_4_23 = e1)) | ( ~ (unit = e3) & ~ % 11.75/2.41 | | | | | | | (unit = e2) & ~ (unit = e0) & ~ (unit = e1)) | (( ~ % 11.75/2.41 | | | | | | | (all_4_20 = e3) | ~ (all_4_21 = e3) | ~ (all_4_22 = % 11.75/2.41 | | | | | | | e3) | ~ (all_4_23 = e3)) & ( ~ (all_4_20 = e2) | % 11.75/2.41 | | | | | | | ~ (all_4_21 = e2) | ~ (all_4_22 = e2) | ~ (all_4_23 % 11.75/2.41 | | | | | | | = e2)) & ( ~ (all_4_20 = e0) | ~ (all_4_21 = e0) | % 11.75/2.41 | | | | | | | ~ (all_4_22 = e0) | ~ (all_4_23 = e0)) & ( ~ % 11.75/2.41 | | | | | | | (all_4_20 = e1) | ~ (all_4_21 = e1) | ~ (all_4_22 = % 11.75/2.41 | | | | | | | e1) | ~ (all_4_23 = e1))) % 11.75/2.41 | | | | | | | % 11.75/2.41 | | | | | | | BETA: splitting (108) gives: % 11.75/2.41 | | | | | | | % 11.75/2.41 | | | | | | | Case 1: % 11.75/2.41 | | | | | | | | % 11.75/2.41 | | | | | | | | (109) ~ (all_4_4 = e1) % 11.75/2.41 | | | | | | | | % 11.75/2.41 | | | | | | | | REDUCE: (55), (109) imply: % 11.75/2.41 | | | | | | | | (110) $false % 11.75/2.41 | | | | | | | | % 11.75/2.41 | | | | | | | | CLOSE: (110) is inconsistent. % 11.75/2.41 | | | | | | | | % 11.75/2.41 | | | | | | | Case 2: % 11.75/2.41 | | | | | | | | % 11.75/2.41 | | | | | | | | (111) ~ (all_4_5 = e1) | ( ~ (all_4_8 = e3) & ~ (all_4_8 = % 11.75/2.41 | | | | | | | | e2) & ~ (all_4_8 = e0) & ~ (all_4_8 = e1)) | ( ~ % 11.75/2.41 | | | | | | | | (all_4_8 = e3) & ~ (all_4_9 = e3) & ~ (all_4_10 = % 11.75/2.41 | | | | | | | | e3) & ~ (all_4_20 = e3)) | ( ~ (all_4_8 = e3) & ~ % 11.75/2.41 | | | | | | | | (all_4_15 = e3) & ~ (all_4_18 = e3) & ~ (all_4_21 = % 11.75/2.41 | | | | | | | | e3)) | ( ~ (all_4_8 = e2) & ~ (all_4_9 = e2) & ~ % 11.75/2.41 | | | | | | | | (all_4_10 = e2) & ~ (all_4_20 = e2)) | ( ~ (all_4_8 % 11.75/2.41 | | | | | | | | = e2) & ~ (all_4_15 = e2) & ~ (all_4_18 = e2) & % 11.75/2.41 | | | | | | | | ~ (all_4_21 = e2)) | ( ~ (all_4_8 = e0) & ~ (all_4_9 % 11.75/2.41 | | | | | | | | = e0) & ~ (all_4_10 = e0) & ~ (all_4_20 = e0)) | % 11.75/2.41 | | | | | | | | ( ~ (all_4_8 = e0) & ~ (all_4_15 = e0) & ~ (all_4_18 % 11.75/2.41 | | | | | | | | = e0) & ~ (all_4_21 = e0)) | ( ~ (all_4_8 = e1) & % 11.75/2.41 | | | | | | | | ~ (all_4_9 = e1) & ~ (all_4_10 = e1) & ~ (all_4_20 % 11.75/2.41 | | | | | | | | = e1)) | ( ~ (all_4_8 = e1) & ~ (all_4_15 = e1) & % 11.75/2.41 | | | | | | | | ~ (all_4_18 = e1) & ~ (all_4_21 = e1)) | ( ~ % 11.75/2.41 | | | | | | | | (all_4_9 = e3) & ~ (all_4_9 = e2) & ~ (all_4_9 = % 11.75/2.41 | | | | | | | | e0) & ~ (all_4_9 = e1)) | ( ~ (all_4_9 = e3) & ~ % 11.75/2.41 | | | | | | | | (all_4_12 = e3) & ~ (all_4_19 = e3) & ~ (all_4_22 = % 11.75/2.41 | | | | | | | | e3)) | ( ~ (all_4_9 = e2) & ~ (all_4_12 = e2) & ~ % 11.75/2.41 | | | | | | | | (all_4_19 = e2) & ~ (all_4_22 = e2)) | ( ~ (all_4_9 % 11.75/2.41 | | | | | | | | = e0) & ~ (all_4_12 = e0) & ~ (all_4_19 = e0) & % 11.75/2.41 | | | | | | | | ~ (all_4_22 = e0)) | ( ~ (all_4_9 = e1) & ~ % 11.75/2.41 | | | | | | | | (all_4_12 = e1) & ~ (all_4_19 = e1) & ~ (all_4_22 = % 11.75/2.41 | | | | | | | | e1)) | ( ~ (all_4_10 = e3) & ~ (all_4_10 = e2) & % 11.75/2.41 | | | | | | | | ~ (all_4_10 = e0) & ~ (all_4_10 = e1)) | ( ~ % 11.75/2.41 | | | | | | | | (all_4_10 = e3) & ~ (all_4_13 = e3) & ~ (all_4_16 = % 11.75/2.41 | | | | | | | | e3) & ~ (all_4_23 = e3)) | ( ~ (all_4_10 = e2) & % 11.75/2.41 | | | | | | | | ~ (all_4_13 = e2) & ~ (all_4_16 = e2) & ~ (all_4_23 % 11.75/2.41 | | | | | | | | = e2)) | ( ~ (all_4_10 = e0) & ~ (all_4_13 = e0) & % 11.75/2.41 | | | | | | | | ~ (all_4_16 = e0) & ~ (all_4_23 = e0)) | ( ~ % 11.75/2.41 | | | | | | | | (all_4_10 = e1) & ~ (all_4_13 = e1) & ~ (all_4_16 = % 11.75/2.41 | | | | | | | | e1) & ~ (all_4_23 = e1)) | ( ~ (all_4_11 = e3) & % 11.75/2.41 | | | | | | | | ~ (all_4_11 = e2) & ~ (all_4_11 = e0) & ~ (all_4_11 % 11.75/2.41 | | | | | | | | = e1)) | ( ~ (all_4_11 = e3) & ~ (all_4_12 = e3) & % 11.75/2.41 | | | | | | | | ~ (all_4_13 = e3) & ~ (all_4_21 = e3)) | ( ~ % 11.75/2.41 | | | | | | | | (all_4_11 = e3) & ~ (all_4_14 = e3) & ~ (all_4_17 = % 11.75/2.41 | | | | | | | | e3) & ~ (all_4_20 = e3)) | ( ~ (all_4_11 = e2) & % 11.75/2.41 | | | | | | | | ~ (all_4_12 = e2) & ~ (all_4_13 = e2) & ~ (all_4_21 % 11.75/2.41 | | | | | | | | = e2)) | ( ~ (all_4_11 = e2) & ~ (all_4_14 = e2) & % 11.75/2.41 | | | | | | | | ~ (all_4_17 = e2) & ~ (all_4_20 = e2)) | ( ~ % 11.75/2.41 | | | | | | | | (all_4_11 = e0) & ~ (all_4_12 = e0) & ~ (all_4_13 = % 11.75/2.41 | | | | | | | | e0) & ~ (all_4_21 = e0)) | ( ~ (all_4_11 = e0) & % 11.75/2.41 | | | | | | | | ~ (all_4_14 = e0) & ~ (all_4_17 = e0) & ~ (all_4_20 % 11.75/2.41 | | | | | | | | = e0)) | ( ~ (all_4_11 = e1) & ~ (all_4_12 = e1) & % 11.75/2.41 | | | | | | | | ~ (all_4_13 = e1) & ~ (all_4_21 = e1)) | ( ~ % 11.75/2.41 | | | | | | | | (all_4_11 = e1) & ~ (all_4_14 = e1) & ~ (all_4_17 = % 11.75/2.41 | | | | | | | | e1) & ~ (all_4_20 = e1)) | ( ~ (all_4_12 = e3) & % 11.75/2.41 | | | | | | | | ~ (all_4_12 = e2) & ~ (all_4_12 = e0) & ~ (all_4_12 % 11.75/2.41 | | | | | | | | = e1)) | ( ~ (all_4_13 = e3) & ~ (all_4_13 = e2) & % 11.75/2.41 | | | | | | | | ~ (all_4_13 = e0) & ~ (all_4_13 = e1)) | ( ~ % 11.75/2.41 | | | | | | | | (all_4_14 = e3) & ~ (all_4_14 = e2) & ~ (all_4_14 = % 11.75/2.41 | | | | | | | | e0) & ~ (all_4_14 = e1)) | ( ~ (all_4_14 = e3) & % 11.75/2.41 | | | | | | | | ~ (all_4_15 = e3) & ~ (all_4_16 = e3) & ~ (all_4_22 % 11.75/2.41 | | | | | | | | = e3)) | ( ~ (all_4_14 = e2) & ~ (all_4_15 = e2) & % 11.75/2.41 | | | | | | | | ~ (all_4_16 = e2) & ~ (all_4_22 = e2)) | ( ~ % 11.75/2.41 | | | | | | | | (all_4_14 = e0) & ~ (all_4_15 = e0) & ~ (all_4_16 = % 11.75/2.41 | | | | | | | | e0) & ~ (all_4_22 = e0)) | ( ~ (all_4_14 = e1) & % 11.75/2.41 | | | | | | | | ~ (all_4_15 = e1) & ~ (all_4_16 = e1) & ~ (all_4_22 % 11.75/2.41 | | | | | | | | = e1)) | ( ~ (all_4_15 = e3) & ~ (all_4_15 = e2) & % 11.75/2.41 | | | | | | | | ~ (all_4_15 = e0) & ~ (all_4_15 = e1)) | ( ~ % 11.75/2.41 | | | | | | | | (all_4_16 = e3) & ~ (all_4_16 = e2) & ~ (all_4_16 = % 11.75/2.41 | | | | | | | | e0) & ~ (all_4_16 = e1)) | ( ~ (all_4_17 = e3) & % 11.75/2.41 | | | | | | | | ~ (all_4_17 = e2) & ~ (all_4_17 = e0) & ~ (all_4_17 % 11.75/2.41 | | | | | | | | = e1)) | ( ~ (all_4_17 = e3) & ~ (all_4_18 = e3) & % 11.75/2.41 | | | | | | | | ~ (all_4_19 = e3) & ~ (all_4_23 = e3)) | ( ~ % 11.75/2.41 | | | | | | | | (all_4_17 = e2) & ~ (all_4_18 = e2) & ~ (all_4_19 = % 11.75/2.41 | | | | | | | | e2) & ~ (all_4_23 = e2)) | ( ~ (all_4_17 = e0) & % 11.75/2.41 | | | | | | | | ~ (all_4_18 = e0) & ~ (all_4_19 = e0) & ~ (all_4_23 % 11.75/2.41 | | | | | | | | = e0)) | ( ~ (all_4_17 = e1) & ~ (all_4_18 = e1) & % 11.75/2.41 | | | | | | | | ~ (all_4_19 = e1) & ~ (all_4_23 = e1)) | ( ~ % 11.75/2.41 | | | | | | | | (all_4_18 = e3) & ~ (all_4_18 = e2) & ~ (all_4_18 = % 11.75/2.41 | | | | | | | | e0) & ~ (all_4_18 = e1)) | ( ~ (all_4_19 = e3) & % 11.75/2.41 | | | | | | | | ~ (all_4_19 = e2) & ~ (all_4_19 = e0) & ~ (all_4_19 % 11.75/2.41 | | | | | | | | = e1)) | ( ~ (all_4_20 = e3) & ~ (all_4_20 = e2) & % 11.75/2.41 | | | | | | | | ~ (all_4_20 = e0) & ~ (all_4_20 = e1)) | ( ~ % 11.75/2.41 | | | | | | | | (all_4_21 = e3) & ~ (all_4_21 = e2) & ~ (all_4_21 = % 11.75/2.41 | | | | | | | | e0) & ~ (all_4_21 = e1)) | ( ~ (all_4_22 = e3) & % 11.75/2.41 | | | | | | | | ~ (all_4_22 = e2) & ~ (all_4_22 = e0) & ~ (all_4_22 % 11.75/2.42 | | | | | | | | = e1)) | ( ~ (all_4_23 = e3) & ~ (all_4_23 = e2) & % 11.75/2.42 | | | | | | | | ~ (all_4_23 = e0) & ~ (all_4_23 = e1)) | ( ~ (unit % 11.75/2.42 | | | | | | | | = e3) & ~ (unit = e2) & ~ (unit = e0) & ~ (unit % 11.75/2.42 | | | | | | | | = e1)) | (( ~ (all_4_20 = e3) | ~ (all_4_21 = e3) % 11.75/2.42 | | | | | | | | | ~ (all_4_22 = e3) | ~ (all_4_23 = e3)) & ( ~ % 11.75/2.42 | | | | | | | | (all_4_20 = e2) | ~ (all_4_21 = e2) | ~ (all_4_22 % 11.75/2.42 | | | | | | | | = e2) | ~ (all_4_23 = e2)) & ( ~ (all_4_20 = e0) % 11.75/2.42 | | | | | | | | | ~ (all_4_21 = e0) | ~ (all_4_22 = e0) | ~ % 11.75/2.42 | | | | | | | | (all_4_23 = e0)) & ( ~ (all_4_20 = e1) | ~ % 11.75/2.42 | | | | | | | | (all_4_21 = e1) | ~ (all_4_22 = e1) | ~ (all_4_23 % 11.75/2.42 | | | | | | | | = e1))) % 11.75/2.42 | | | | | | | | % 11.75/2.42 | | | | | | | | BETA: splitting (111) gives: % 11.75/2.42 | | | | | | | | % 11.75/2.42 | | | | | | | | Case 1: % 11.75/2.42 | | | | | | | | | % 11.75/2.42 | | | | | | | | | (112) ~ (all_4_5 = e1) % 11.75/2.42 | | | | | | | | | % 11.75/2.42 | | | | | | | | | REDUCE: (59), (112) imply: % 11.75/2.42 | | | | | | | | | (113) $false % 11.75/2.42 | | | | | | | | | % 11.75/2.42 | | | | | | | | | CLOSE: (113) is inconsistent. % 11.75/2.42 | | | | | | | | | % 11.75/2.42 | | | | | | | | Case 2: % 11.75/2.42 | | | | | | | | | % 11.98/2.42 | | | | | | | | | (114) ( ~ (all_4_8 = e3) & ~ (all_4_8 = e2) & ~ (all_4_8 % 11.98/2.42 | | | | | | | | | = e0) & ~ (all_4_8 = e1)) | ( ~ (all_4_8 = e3) & % 11.98/2.42 | | | | | | | | | ~ (all_4_9 = e3) & ~ (all_4_10 = e3) & ~ % 11.98/2.42 | | | | | | | | | (all_4_20 = e3)) | ( ~ (all_4_8 = e3) & ~ % 11.98/2.42 | | | | | | | | | (all_4_15 = e3) & ~ (all_4_18 = e3) & ~ (all_4_21 % 11.98/2.42 | | | | | | | | | = e3)) | ( ~ (all_4_8 = e2) & ~ (all_4_9 = e2) & % 11.98/2.42 | | | | | | | | | ~ (all_4_10 = e2) & ~ (all_4_20 = e2)) | ( ~ % 11.98/2.42 | | | | | | | | | (all_4_8 = e2) & ~ (all_4_15 = e2) & ~ (all_4_18 % 11.98/2.42 | | | | | | | | | = e2) & ~ (all_4_21 = e2)) | ( ~ (all_4_8 = e0) % 11.98/2.42 | | | | | | | | | & ~ (all_4_9 = e0) & ~ (all_4_10 = e0) & ~ % 11.98/2.42 | | | | | | | | | (all_4_20 = e0)) | ( ~ (all_4_8 = e0) & ~ % 11.98/2.42 | | | | | | | | | (all_4_15 = e0) & ~ (all_4_18 = e0) & ~ (all_4_21 % 11.98/2.42 | | | | | | | | | = e0)) | ( ~ (all_4_8 = e1) & ~ (all_4_9 = e1) & % 11.98/2.42 | | | | | | | | | ~ (all_4_10 = e1) & ~ (all_4_20 = e1)) | ( ~ % 11.98/2.42 | | | | | | | | | (all_4_8 = e1) & ~ (all_4_15 = e1) & ~ (all_4_18 % 11.98/2.42 | | | | | | | | | = e1) & ~ (all_4_21 = e1)) | ( ~ (all_4_9 = e3) % 11.98/2.42 | | | | | | | | | & ~ (all_4_9 = e2) & ~ (all_4_9 = e0) & ~ % 11.98/2.42 | | | | | | | | | (all_4_9 = e1)) | ( ~ (all_4_9 = e3) & ~ (all_4_12 % 11.98/2.42 | | | | | | | | | = e3) & ~ (all_4_19 = e3) & ~ (all_4_22 = e3)) % 11.98/2.42 | | | | | | | | | | ( ~ (all_4_9 = e2) & ~ (all_4_12 = e2) & ~ % 11.98/2.42 | | | | | | | | | (all_4_19 = e2) & ~ (all_4_22 = e2)) | ( ~ % 11.98/2.42 | | | | | | | | | (all_4_9 = e0) & ~ (all_4_12 = e0) & ~ (all_4_19 % 11.98/2.42 | | | | | | | | | = e0) & ~ (all_4_22 = e0)) | ( ~ (all_4_9 = e1) % 11.98/2.42 | | | | | | | | | & ~ (all_4_12 = e1) & ~ (all_4_19 = e1) & ~ % 11.98/2.42 | | | | | | | | | (all_4_22 = e1)) | ( ~ (all_4_10 = e3) & ~ % 11.98/2.42 | | | | | | | | | (all_4_10 = e2) & ~ (all_4_10 = e0) & ~ (all_4_10 % 11.98/2.42 | | | | | | | | | = e1)) | ( ~ (all_4_10 = e3) & ~ (all_4_13 = e3) % 11.98/2.42 | | | | | | | | | & ~ (all_4_16 = e3) & ~ (all_4_23 = e3)) | ( ~ % 11.98/2.42 | | | | | | | | | (all_4_10 = e2) & ~ (all_4_13 = e2) & ~ (all_4_16 % 11.98/2.42 | | | | | | | | | = e2) & ~ (all_4_23 = e2)) | ( ~ (all_4_10 = e0) % 11.98/2.42 | | | | | | | | | & ~ (all_4_13 = e0) & ~ (all_4_16 = e0) & ~ % 11.98/2.42 | | | | | | | | | (all_4_23 = e0)) | ( ~ (all_4_10 = e1) & ~ % 11.98/2.42 | | | | | | | | | (all_4_13 = e1) & ~ (all_4_16 = e1) & ~ (all_4_23 % 11.98/2.42 | | | | | | | | | = e1)) | ( ~ (all_4_11 = e3) & ~ (all_4_11 = e2) % 11.98/2.42 | | | | | | | | | & ~ (all_4_11 = e0) & ~ (all_4_11 = e1)) | ( ~ % 11.98/2.42 | | | | | | | | | (all_4_11 = e3) & ~ (all_4_12 = e3) & ~ (all_4_13 % 11.98/2.42 | | | | | | | | | = e3) & ~ (all_4_21 = e3)) | ( ~ (all_4_11 = e3) % 11.98/2.42 | | | | | | | | | & ~ (all_4_14 = e3) & ~ (all_4_17 = e3) & ~ % 11.98/2.42 | | | | | | | | | (all_4_20 = e3)) | ( ~ (all_4_11 = e2) & ~ % 11.98/2.42 | | | | | | | | | (all_4_12 = e2) & ~ (all_4_13 = e2) & ~ (all_4_21 % 11.98/2.42 | | | | | | | | | = e2)) | ( ~ (all_4_11 = e2) & ~ (all_4_14 = e2) % 11.98/2.42 | | | | | | | | | & ~ (all_4_17 = e2) & ~ (all_4_20 = e2)) | ( ~ % 11.98/2.42 | | | | | | | | | (all_4_11 = e0) & ~ (all_4_12 = e0) & ~ (all_4_13 % 11.98/2.42 | | | | | | | | | = e0) & ~ (all_4_21 = e0)) | ( ~ (all_4_11 = e0) % 11.98/2.42 | | | | | | | | | & ~ (all_4_14 = e0) & ~ (all_4_17 = e0) & ~ % 11.98/2.42 | | | | | | | | | (all_4_20 = e0)) | ( ~ (all_4_11 = e1) & ~ % 11.98/2.42 | | | | | | | | | (all_4_12 = e1) & ~ (all_4_13 = e1) & ~ (all_4_21 % 11.98/2.42 | | | | | | | | | = e1)) | ( ~ (all_4_11 = e1) & ~ (all_4_14 = e1) % 11.98/2.42 | | | | | | | | | & ~ (all_4_17 = e1) & ~ (all_4_20 = e1)) | ( ~ % 11.98/2.42 | | | | | | | | | (all_4_12 = e3) & ~ (all_4_12 = e2) & ~ (all_4_12 % 11.98/2.42 | | | | | | | | | = e0) & ~ (all_4_12 = e1)) | ( ~ (all_4_13 = e3) % 11.98/2.42 | | | | | | | | | & ~ (all_4_13 = e2) & ~ (all_4_13 = e0) & ~ % 11.98/2.42 | | | | | | | | | (all_4_13 = e1)) | ( ~ (all_4_14 = e3) & ~ % 11.98/2.42 | | | | | | | | | (all_4_14 = e2) & ~ (all_4_14 = e0) & ~ (all_4_14 % 11.98/2.42 | | | | | | | | | = e1)) | ( ~ (all_4_14 = e3) & ~ (all_4_15 = e3) % 11.98/2.42 | | | | | | | | | & ~ (all_4_16 = e3) & ~ (all_4_22 = e3)) | ( ~ % 11.98/2.42 | | | | | | | | | (all_4_14 = e2) & ~ (all_4_15 = e2) & ~ (all_4_16 % 11.98/2.42 | | | | | | | | | = e2) & ~ (all_4_22 = e2)) | ( ~ (all_4_14 = e0) % 11.98/2.42 | | | | | | | | | & ~ (all_4_15 = e0) & ~ (all_4_16 = e0) & ~ % 11.98/2.42 | | | | | | | | | (all_4_22 = e0)) | ( ~ (all_4_14 = e1) & ~ % 11.98/2.42 | | | | | | | | | (all_4_15 = e1) & ~ (all_4_16 = e1) & ~ (all_4_22 % 11.98/2.42 | | | | | | | | | = e1)) | ( ~ (all_4_15 = e3) & ~ (all_4_15 = e2) % 11.98/2.42 | | | | | | | | | & ~ (all_4_15 = e0) & ~ (all_4_15 = e1)) | ( ~ % 11.98/2.42 | | | | | | | | | (all_4_16 = e3) & ~ (all_4_16 = e2) & ~ (all_4_16 % 11.98/2.42 | | | | | | | | | = e0) & ~ (all_4_16 = e1)) | ( ~ (all_4_17 = e3) % 11.98/2.42 | | | | | | | | | & ~ (all_4_17 = e2) & ~ (all_4_17 = e0) & ~ % 11.98/2.42 | | | | | | | | | (all_4_17 = e1)) | ( ~ (all_4_17 = e3) & ~ % 11.98/2.42 | | | | | | | | | (all_4_18 = e3) & ~ (all_4_19 = e3) & ~ (all_4_23 % 11.98/2.42 | | | | | | | | | = e3)) | ( ~ (all_4_17 = e2) & ~ (all_4_18 = e2) % 11.98/2.42 | | | | | | | | | & ~ (all_4_19 = e2) & ~ (all_4_23 = e2)) | ( ~ % 11.98/2.42 | | | | | | | | | (all_4_17 = e0) & ~ (all_4_18 = e0) & ~ (all_4_19 % 11.98/2.42 | | | | | | | | | = e0) & ~ (all_4_23 = e0)) | ( ~ (all_4_17 = e1) % 11.98/2.42 | | | | | | | | | & ~ (all_4_18 = e1) & ~ (all_4_19 = e1) & ~ % 11.98/2.42 | | | | | | | | | (all_4_23 = e1)) | ( ~ (all_4_18 = e3) & ~ % 11.98/2.42 | | | | | | | | | (all_4_18 = e2) & ~ (all_4_18 = e0) & ~ (all_4_18 % 11.98/2.42 | | | | | | | | | = e1)) | ( ~ (all_4_19 = e3) & ~ (all_4_19 = e2) % 11.98/2.42 | | | | | | | | | & ~ (all_4_19 = e0) & ~ (all_4_19 = e1)) | ( ~ % 11.98/2.42 | | | | | | | | | (all_4_20 = e3) & ~ (all_4_20 = e2) & ~ (all_4_20 % 11.98/2.42 | | | | | | | | | = e0) & ~ (all_4_20 = e1)) | ( ~ (all_4_21 = e3) % 11.98/2.42 | | | | | | | | | & ~ (all_4_21 = e2) & ~ (all_4_21 = e0) & ~ % 11.98/2.42 | | | | | | | | | (all_4_21 = e1)) | ( ~ (all_4_22 = e3) & ~ % 11.98/2.42 | | | | | | | | | (all_4_22 = e2) & ~ (all_4_22 = e0) & ~ (all_4_22 % 11.98/2.42 | | | | | | | | | = e1)) | ( ~ (all_4_23 = e3) & ~ (all_4_23 = e2) % 11.98/2.42 | | | | | | | | | & ~ (all_4_23 = e0) & ~ (all_4_23 = e1)) | ( ~ % 11.98/2.42 | | | | | | | | | (unit = e3) & ~ (unit = e2) & ~ (unit = e0) & ~ % 11.98/2.42 | | | | | | | | | (unit = e1)) | (( ~ (all_4_20 = e3) | ~ (all_4_21 % 11.98/2.42 | | | | | | | | | = e3) | ~ (all_4_22 = e3) | ~ (all_4_23 = % 11.98/2.42 | | | | | | | | | e3)) & ( ~ (all_4_20 = e2) | ~ (all_4_21 = e2) % 11.98/2.42 | | | | | | | | | | ~ (all_4_22 = e2) | ~ (all_4_23 = e2)) & ( ~ % 11.98/2.42 | | | | | | | | | (all_4_20 = e0) | ~ (all_4_21 = e0) | ~ % 11.98/2.42 | | | | | | | | | (all_4_22 = e0) | ~ (all_4_23 = e0)) & ( ~ % 11.98/2.42 | | | | | | | | | (all_4_20 = e1) | ~ (all_4_21 = e1) | ~ % 11.98/2.42 | | | | | | | | | (all_4_22 = e1) | ~ (all_4_23 = e1))) % 11.98/2.42 | | | | | | | | | % 11.98/2.42 | | | | | | | | | BETA: splitting (114) gives: % 11.98/2.42 | | | | | | | | | % 11.98/2.42 | | | | | | | | | Case 1: % 11.98/2.42 | | | | | | | | | | % 11.98/2.42 | | | | | | | | | | (115) ( ~ (all_4_8 = e3) & ~ (all_4_8 = e2) & ~ % 11.98/2.42 | | | | | | | | | | (all_4_8 = e0) & ~ (all_4_8 = e1)) | ( ~ % 11.98/2.42 | | | | | | | | | | (all_4_8 = e3) & ~ (all_4_9 = e3) & ~ (all_4_10 % 11.98/2.42 | | | | | | | | | | = e3) & ~ (all_4_20 = e3)) | ( ~ (all_4_8 = % 11.98/2.42 | | | | | | | | | | e3) & ~ (all_4_15 = e3) & ~ (all_4_18 = e3) & % 11.98/2.42 | | | | | | | | | | ~ (all_4_21 = e3)) | ( ~ (all_4_8 = e2) & ~ % 11.98/2.42 | | | | | | | | | | (all_4_9 = e2) & ~ (all_4_10 = e2) & ~ % 11.98/2.42 | | | | | | | | | | (all_4_20 = e2)) | ( ~ (all_4_8 = e2) & ~ % 11.98/2.42 | | | | | | | | | | (all_4_15 = e2) & ~ (all_4_18 = e2) & ~ % 11.98/2.42 | | | | | | | | | | (all_4_21 = e2)) | ( ~ (all_4_8 = e0) & ~ % 11.98/2.42 | | | | | | | | | | (all_4_9 = e0) & ~ (all_4_10 = e0) & ~ % 11.98/2.42 | | | | | | | | | | (all_4_20 = e0)) | ( ~ (all_4_8 = e0) & ~ % 11.98/2.42 | | | | | | | | | | (all_4_15 = e0) & ~ (all_4_18 = e0) & ~ % 11.98/2.42 | | | | | | | | | | (all_4_21 = e0)) | ( ~ (all_4_8 = e1) & ~ % 11.98/2.42 | | | | | | | | | | (all_4_9 = e1) & ~ (all_4_10 = e1) & ~ % 11.98/2.42 | | | | | | | | | | (all_4_20 = e1)) | ( ~ (all_4_8 = e1) & ~ % 11.98/2.42 | | | | | | | | | | (all_4_15 = e1) & ~ (all_4_18 = e1) & ~ % 11.98/2.42 | | | | | | | | | | (all_4_21 = e1)) | ( ~ (all_4_9 = e3) & ~ % 11.98/2.42 | | | | | | | | | | (all_4_9 = e2) & ~ (all_4_9 = e0) & ~ (all_4_9 % 11.98/2.42 | | | | | | | | | | = e1)) | ( ~ (all_4_9 = e3) & ~ (all_4_12 = % 11.98/2.42 | | | | | | | | | | e3) & ~ (all_4_19 = e3) & ~ (all_4_22 = e3)) % 11.98/2.42 | | | | | | | | | | | ( ~ (all_4_9 = e2) & ~ (all_4_12 = e2) & ~ % 11.98/2.42 | | | | | | | | | | (all_4_19 = e2) & ~ (all_4_22 = e2)) | ( ~ % 11.98/2.42 | | | | | | | | | | (all_4_9 = e0) & ~ (all_4_12 = e0) & ~ % 11.98/2.42 | | | | | | | | | | (all_4_19 = e0) & ~ (all_4_22 = e0)) | ( ~ % 11.98/2.42 | | | | | | | | | | (all_4_9 = e1) & ~ (all_4_12 = e1) & ~ % 11.98/2.42 | | | | | | | | | | (all_4_19 = e1) & ~ (all_4_22 = e1)) | ( ~ % 11.98/2.42 | | | | | | | | | | (all_4_10 = e3) & ~ (all_4_10 = e2) & ~ % 11.98/2.42 | | | | | | | | | | (all_4_10 = e0) & ~ (all_4_10 = e1)) | ( ~ % 11.98/2.42 | | | | | | | | | | (all_4_10 = e3) & ~ (all_4_13 = e3) & ~ % 11.98/2.42 | | | | | | | | | | (all_4_16 = e3) & ~ (all_4_23 = e3)) | ( ~ % 11.98/2.42 | | | | | | | | | | (all_4_10 = e2) & ~ (all_4_13 = e2) & ~ % 11.98/2.42 | | | | | | | | | | (all_4_16 = e2) & ~ (all_4_23 = e2)) | ( ~ % 11.98/2.42 | | | | | | | | | | (all_4_10 = e0) & ~ (all_4_13 = e0) & ~ % 11.98/2.42 | | | | | | | | | | (all_4_16 = e0) & ~ (all_4_23 = e0)) | ( ~ % 11.98/2.42 | | | | | | | | | | (all_4_10 = e1) & ~ (all_4_13 = e1) & ~ % 11.98/2.42 | | | | | | | | | | (all_4_16 = e1) & ~ (all_4_23 = e1)) | ( ~ % 11.98/2.42 | | | | | | | | | | (all_4_11 = e3) & ~ (all_4_11 = e2) & ~ % 11.98/2.42 | | | | | | | | | | (all_4_11 = e0) & ~ (all_4_11 = e1)) | ( ~ % 11.98/2.42 | | | | | | | | | | (all_4_11 = e3) & ~ (all_4_12 = e3) & ~ % 11.98/2.42 | | | | | | | | | | (all_4_13 = e3) & ~ (all_4_21 = e3)) | ( ~ % 11.98/2.42 | | | | | | | | | | (all_4_11 = e3) & ~ (all_4_14 = e3) & ~ % 11.98/2.42 | | | | | | | | | | (all_4_17 = e3) & ~ (all_4_20 = e3)) | ( ~ % 11.98/2.42 | | | | | | | | | | (all_4_11 = e2) & ~ (all_4_12 = e2) & ~ % 11.98/2.42 | | | | | | | | | | (all_4_13 = e2) & ~ (all_4_21 = e2)) | ( ~ % 11.98/2.42 | | | | | | | | | | (all_4_11 = e2) & ~ (all_4_14 = e2) & ~ % 11.98/2.42 | | | | | | | | | | (all_4_17 = e2) & ~ (all_4_20 = e2)) | ( ~ % 11.98/2.42 | | | | | | | | | | (all_4_11 = e0) & ~ (all_4_12 = e0) & ~ % 11.98/2.42 | | | | | | | | | | (all_4_13 = e0) & ~ (all_4_21 = e0)) % 11.98/2.42 | | | | | | | | | | % 11.98/2.42 | | | | | | | | | | BETA: splitting (115) gives: % 11.98/2.42 | | | | | | | | | | % 11.98/2.42 | | | | | | | | | | Case 1: % 11.98/2.42 | | | | | | | | | | | % 11.98/2.43 | | | | | | | | | | | (116) ( ~ (all_4_8 = e3) & ~ (all_4_8 = e2) & ~ % 11.98/2.43 | | | | | | | | | | | (all_4_8 = e0) & ~ (all_4_8 = e1)) | ( ~ % 11.98/2.43 | | | | | | | | | | | (all_4_8 = e3) & ~ (all_4_9 = e3) & ~ % 11.98/2.43 | | | | | | | | | | | (all_4_10 = e3) & ~ (all_4_20 = e3)) | ( ~ % 11.98/2.43 | | | | | | | | | | | (all_4_8 = e3) & ~ (all_4_15 = e3) & ~ % 11.98/2.43 | | | | | | | | | | | (all_4_18 = e3) & ~ (all_4_21 = e3)) | ( ~ % 11.98/2.43 | | | | | | | | | | | (all_4_8 = e2) & ~ (all_4_9 = e2) & ~ % 11.98/2.43 | | | | | | | | | | | (all_4_10 = e2) & ~ (all_4_20 = e2)) | ( ~ % 11.98/2.43 | | | | | | | | | | | (all_4_8 = e2) & ~ (all_4_15 = e2) & ~ % 11.98/2.43 | | | | | | | | | | | (all_4_18 = e2) & ~ (all_4_21 = e2)) | ( ~ % 11.98/2.43 | | | | | | | | | | | (all_4_8 = e0) & ~ (all_4_9 = e0) & ~ % 11.98/2.43 | | | | | | | | | | | (all_4_10 = e0) & ~ (all_4_20 = e0)) | ( ~ % 11.98/2.43 | | | | | | | | | | | (all_4_8 = e0) & ~ (all_4_15 = e0) & ~ % 11.98/2.43 | | | | | | | | | | | (all_4_18 = e0) & ~ (all_4_21 = e0)) | ( ~ % 11.98/2.43 | | | | | | | | | | | (all_4_8 = e1) & ~ (all_4_9 = e1) & ~ % 11.98/2.43 | | | | | | | | | | | (all_4_10 = e1) & ~ (all_4_20 = e1)) | ( ~ % 11.98/2.43 | | | | | | | | | | | (all_4_8 = e1) & ~ (all_4_15 = e1) & ~ % 11.98/2.43 | | | | | | | | | | | (all_4_18 = e1) & ~ (all_4_21 = e1)) | ( ~ % 11.98/2.43 | | | | | | | | | | | (all_4_9 = e3) & ~ (all_4_9 = e2) & ~ (all_4_9 % 11.98/2.43 | | | | | | | | | | | = e0) & ~ (all_4_9 = e1)) | ( ~ (all_4_9 = % 11.98/2.43 | | | | | | | | | | | e3) & ~ (all_4_12 = e3) & ~ (all_4_19 = e3) % 11.98/2.43 | | | | | | | | | | | & ~ (all_4_22 = e3)) | ( ~ (all_4_9 = e2) & ~ % 11.98/2.43 | | | | | | | | | | | (all_4_12 = e2) & ~ (all_4_19 = e2) & ~ % 11.98/2.43 | | | | | | | | | | | (all_4_22 = e2)) % 11.98/2.43 | | | | | | | | | | | % 11.98/2.43 | | | | | | | | | | | BETA: splitting (116) gives: % 11.98/2.43 | | | | | | | | | | | % 11.98/2.43 | | | | | | | | | | | Case 1: % 11.98/2.43 | | | | | | | | | | | | % 11.98/2.43 | | | | | | | | | | | | (117) ( ~ (all_4_8 = e3) & ~ (all_4_8 = e2) & ~ % 11.98/2.43 | | | | | | | | | | | | (all_4_8 = e0) & ~ (all_4_8 = e1)) | ( ~ % 11.98/2.43 | | | | | | | | | | | | (all_4_8 = e3) & ~ (all_4_9 = e3) & ~ % 11.98/2.43 | | | | | | | | | | | | (all_4_10 = e3) & ~ (all_4_20 = e3)) | ( ~ % 11.98/2.43 | | | | | | | | | | | | (all_4_8 = e3) & ~ (all_4_15 = e3) & ~ % 11.98/2.43 | | | | | | | | | | | | (all_4_18 = e3) & ~ (all_4_21 = e3)) | ( ~ % 11.98/2.43 | | | | | | | | | | | | (all_4_8 = e2) & ~ (all_4_9 = e2) & ~ % 11.98/2.43 | | | | | | | | | | | | (all_4_10 = e2) & ~ (all_4_20 = e2)) | ( ~ % 11.98/2.43 | | | | | | | | | | | | (all_4_8 = e2) & ~ (all_4_15 = e2) & ~ % 11.98/2.43 | | | | | | | | | | | | (all_4_18 = e2) & ~ (all_4_21 = e2)) | ( ~ % 11.98/2.43 | | | | | | | | | | | | (all_4_8 = e0) & ~ (all_4_9 = e0) & ~ % 11.98/2.43 | | | | | | | | | | | | (all_4_10 = e0) & ~ (all_4_20 = e0)) % 11.98/2.43 | | | | | | | | | | | | % 11.98/2.43 | | | | | | | | | | | | BETA: splitting (117) gives: % 11.98/2.43 | | | | | | | | | | | | % 11.98/2.43 | | | | | | | | | | | | Case 1: % 11.98/2.43 | | | | | | | | | | | | | % 11.98/2.43 | | | | | | | | | | | | | (118) ( ~ (all_4_8 = e3) & ~ (all_4_8 = e2) & ~ % 11.98/2.43 | | | | | | | | | | | | | (all_4_8 = e0) & ~ (all_4_8 = e1)) | ( ~ % 11.98/2.43 | | | | | | | | | | | | | (all_4_8 = e3) & ~ (all_4_9 = e3) & ~ % 11.98/2.43 | | | | | | | | | | | | | (all_4_10 = e3) & ~ (all_4_20 = e3)) | ( ~ % 11.98/2.43 | | | | | | | | | | | | | (all_4_8 = e3) & ~ (all_4_15 = e3) & ~ % 11.98/2.43 | | | | | | | | | | | | | (all_4_18 = e3) & ~ (all_4_21 = e3)) % 11.98/2.43 | | | | | | | | | | | | | % 11.98/2.43 | | | | | | | | | | | | | BETA: splitting (118) gives: % 11.98/2.43 | | | | | | | | | | | | | % 11.98/2.43 | | | | | | | | | | | | | Case 1: % 11.98/2.43 | | | | | | | | | | | | | | % 11.98/2.43 | | | | | | | | | | | | | | (119) ~ (all_4_8 = e3) & ~ (all_4_8 = e2) & ~ % 11.98/2.43 | | | | | | | | | | | | | | (all_4_8 = e0) & ~ (all_4_8 = e1) % 11.98/2.43 | | | | | | | | | | | | | | % 11.98/2.43 | | | | | | | | | | | | | | ALPHA: (119) implies: % 11.98/2.43 | | | | | | | | | | | | | | (120) ~ (all_4_8 = e1) % 11.98/2.43 | | | | | | | | | | | | | | % 11.98/2.43 | | | | | | | | | | | | | | REDUCE: (75), (120) imply: % 11.98/2.43 | | | | | | | | | | | | | | (121) $false % 11.98/2.43 | | | | | | | | | | | | | | % 11.98/2.43 | | | | | | | | | | | | | | CLOSE: (121) is inconsistent. % 11.98/2.43 | | | | | | | | | | | | | | % 11.98/2.43 | | | | | | | | | | | | | Case 2: % 11.98/2.43 | | | | | | | | | | | | | | % 11.98/2.43 | | | | | | | | | | | | | | (122) ( ~ (all_4_8 = e3) & ~ (all_4_9 = e3) & ~ % 11.98/2.43 | | | | | | | | | | | | | | (all_4_10 = e3) & ~ (all_4_20 = e3)) | ( ~ % 11.98/2.43 | | | | | | | | | | | | | | (all_4_8 = e3) & ~ (all_4_15 = e3) & ~ % 11.98/2.43 | | | | | | | | | | | | | | (all_4_18 = e3) & ~ (all_4_21 = e3)) % 11.98/2.43 | | | | | | | | | | | | | | % 11.98/2.43 | | | | | | | | | | | | | | BETA: splitting (122) gives: % 11.98/2.43 | | | | | | | | | | | | | | % 11.98/2.43 | | | | | | | | | | | | | | Case 1: % 11.98/2.43 | | | | | | | | | | | | | | | % 11.98/2.43 | | | | | | | | | | | | | | | (123) ~ (all_4_8 = e3) & ~ (all_4_9 = e3) & ~ % 11.98/2.43 | | | | | | | | | | | | | | | (all_4_10 = e3) & ~ (all_4_20 = e3) % 11.98/2.43 | | | | | | | | | | | | | | | % 11.98/2.43 | | | | | | | | | | | | | | | ALPHA: (123) implies: % 11.98/2.43 | | | | | | | | | | | | | | | (124) ~ (all_4_10 = e3) % 11.98/2.43 | | | | | | | | | | | | | | | % 11.98/2.43 | | | | | | | | | | | | | | | REDUCE: (77), (124) imply: % 11.98/2.43 | | | | | | | | | | | | | | | (125) $false % 11.98/2.43 | | | | | | | | | | | | | | | % 11.98/2.43 | | | | | | | | | | | | | | | CLOSE: (125) is inconsistent. % 11.98/2.43 | | | | | | | | | | | | | | | % 11.98/2.43 | | | | | | | | | | | | | | Case 2: % 11.98/2.43 | | | | | | | | | | | | | | | % 11.98/2.43 | | | | | | | | | | | | | | | (126) ~ (all_4_8 = e3) & ~ (all_4_15 = e3) & ~ % 11.98/2.43 | | | | | | | | | | | | | | | (all_4_18 = e3) & ~ (all_4_21 = e3) % 11.98/2.43 | | | | | | | | | | | | | | | % 11.98/2.43 | | | | | | | | | | | | | | | ALPHA: (126) implies: % 11.98/2.43 | | | | | | | | | | | | | | | (127) ~ (all_4_15 = e3) % 11.98/2.43 | | | | | | | | | | | | | | | % 11.98/2.43 | | | | | | | | | | | | | | | REDUCE: (56), (127) imply: % 11.98/2.43 | | | | | | | | | | | | | | | (128) $false % 11.98/2.43 | | | | | | | | | | | | | | | % 11.98/2.43 | | | | | | | | | | | | | | | CLOSE: (128) is inconsistent. % 11.98/2.43 | | | | | | | | | | | | | | | % 11.98/2.43 | | | | | | | | | | | | | | End of split % 11.98/2.43 | | | | | | | | | | | | | | % 11.98/2.43 | | | | | | | | | | | | | End of split % 11.98/2.43 | | | | | | | | | | | | | % 11.98/2.43 | | | | | | | | | | | | Case 2: % 11.98/2.43 | | | | | | | | | | | | | % 11.98/2.43 | | | | | | | | | | | | | (129) ( ~ (all_4_8 = e2) & ~ (all_4_9 = e2) & ~ % 11.98/2.43 | | | | | | | | | | | | | (all_4_10 = e2) & ~ (all_4_20 = e2)) | ( ~ % 11.98/2.43 | | | | | | | | | | | | | (all_4_8 = e2) & ~ (all_4_15 = e2) & ~ % 11.98/2.43 | | | | | | | | | | | | | (all_4_18 = e2) & ~ (all_4_21 = e2)) | ( ~ % 11.98/2.43 | | | | | | | | | | | | | (all_4_8 = e0) & ~ (all_4_9 = e0) & ~ % 11.98/2.43 | | | | | | | | | | | | | (all_4_10 = e0) & ~ (all_4_20 = e0)) % 11.98/2.43 | | | | | | | | | | | | | % 11.98/2.43 | | | | | | | | | | | | | BETA: splitting (129) gives: % 11.98/2.43 | | | | | | | | | | | | | % 11.98/2.43 | | | | | | | | | | | | | Case 1: % 11.98/2.43 | | | | | | | | | | | | | | % 11.98/2.43 | | | | | | | | | | | | | | (130) ~ (all_4_8 = e2) & ~ (all_4_9 = e2) & ~ % 11.98/2.43 | | | | | | | | | | | | | | (all_4_10 = e2) & ~ (all_4_20 = e2) % 11.98/2.43 | | | | | | | | | | | | | | % 11.98/2.43 | | | | | | | | | | | | | | ALPHA: (130) implies: % 11.98/2.43 | | | | | | | | | | | | | | (131) ~ (all_4_9 = e2) % 11.98/2.43 | | | | | | | | | | | | | | % 11.98/2.43 | | | | | | | | | | | | | | REDUCE: (72), (131) imply: % 11.98/2.43 | | | | | | | | | | | | | | (132) $false % 11.98/2.43 | | | | | | | | | | | | | | % 11.98/2.43 | | | | | | | | | | | | | | CLOSE: (132) is inconsistent. % 11.98/2.43 | | | | | | | | | | | | | | % 11.98/2.43 | | | | | | | | | | | | | Case 2: % 11.98/2.43 | | | | | | | | | | | | | | % 11.98/2.43 | | | | | | | | | | | | | | (133) ( ~ (all_4_8 = e2) & ~ (all_4_15 = e2) & ~ % 11.98/2.43 | | | | | | | | | | | | | | (all_4_18 = e2) & ~ (all_4_21 = e2)) | ( ~ % 11.98/2.43 | | | | | | | | | | | | | | (all_4_8 = e0) & ~ (all_4_9 = e0) & ~ % 11.98/2.43 | | | | | | | | | | | | | | (all_4_10 = e0) & ~ (all_4_20 = e0)) % 11.98/2.43 | | | | | | | | | | | | | | % 11.98/2.43 | | | | | | | | | | | | | | BETA: splitting (133) gives: % 11.98/2.43 | | | | | | | | | | | | | | % 11.98/2.43 | | | | | | | | | | | | | | Case 1: % 11.98/2.43 | | | | | | | | | | | | | | | % 11.98/2.43 | | | | | | | | | | | | | | | (134) ~ (all_4_8 = e2) & ~ (all_4_15 = e2) & ~ % 11.98/2.43 | | | | | | | | | | | | | | | (all_4_18 = e2) & ~ (all_4_21 = e2) % 11.98/2.43 | | | | | | | | | | | | | | | % 11.98/2.43 | | | | | | | | | | | | | | | ALPHA: (134) implies: % 11.98/2.43 | | | | | | | | | | | | | | | (135) ~ (all_4_18 = e2) % 11.98/2.43 | | | | | | | | | | | | | | | % 11.98/2.43 | | | | | | | | | | | | | | | REDUCE: (83), (135) imply: % 11.98/2.43 | | | | | | | | | | | | | | | (136) $false % 11.98/2.43 | | | | | | | | | | | | | | | % 11.98/2.43 | | | | | | | | | | | | | | | CLOSE: (136) is inconsistent. % 11.98/2.43 | | | | | | | | | | | | | | | % 11.98/2.43 | | | | | | | | | | | | | | Case 2: % 11.98/2.43 | | | | | | | | | | | | | | | % 11.98/2.43 | | | | | | | | | | | | | | | (137) ~ (all_4_8 = e0) & ~ (all_4_9 = e0) & ~ % 11.98/2.43 | | | | | | | | | | | | | | | (all_4_10 = e0) & ~ (all_4_20 = e0) % 11.98/2.43 | | | | | | | | | | | | | | | % 11.98/2.43 | | | | | | | | | | | | | | | ALPHA: (137) implies: % 11.98/2.43 | | | | | | | | | | | | | | | (138) ~ (all_4_20 = e0) % 11.98/2.43 | | | | | | | | | | | | | | | % 11.98/2.43 | | | | | | | | | | | | | | | REDUCE: (76), (138) imply: % 11.98/2.43 | | | | | | | | | | | | | | | (139) $false % 11.98/2.43 | | | | | | | | | | | | | | | % 11.98/2.43 | | | | | | | | | | | | | | | CLOSE: (139) is inconsistent. % 11.98/2.43 | | | | | | | | | | | | | | | % 11.98/2.43 | | | | | | | | | | | | | | End of split % 11.98/2.43 | | | | | | | | | | | | | | % 11.98/2.43 | | | | | | | | | | | | | End of split % 11.98/2.43 | | | | | | | | | | | | | % 11.98/2.43 | | | | | | | | | | | | End of split % 11.98/2.43 | | | | | | | | | | | | % 11.98/2.43 | | | | | | | | | | | Case 2: % 11.98/2.43 | | | | | | | | | | | | % 11.98/2.43 | | | | | | | | | | | | (140) ( ~ (all_4_8 = e0) & ~ (all_4_15 = e0) & ~ % 11.98/2.43 | | | | | | | | | | | | (all_4_18 = e0) & ~ (all_4_21 = e0)) | ( ~ % 11.98/2.43 | | | | | | | | | | | | (all_4_8 = e1) & ~ (all_4_9 = e1) & ~ % 11.98/2.43 | | | | | | | | | | | | (all_4_10 = e1) & ~ (all_4_20 = e1)) | ( ~ % 11.98/2.43 | | | | | | | | | | | | (all_4_8 = e1) & ~ (all_4_15 = e1) & ~ % 11.98/2.43 | | | | | | | | | | | | (all_4_18 = e1) & ~ (all_4_21 = e1)) | ( ~ % 11.98/2.43 | | | | | | | | | | | | (all_4_9 = e3) & ~ (all_4_9 = e2) & ~ (all_4_9 % 11.98/2.43 | | | | | | | | | | | | = e0) & ~ (all_4_9 = e1)) | ( ~ (all_4_9 = % 11.98/2.43 | | | | | | | | | | | | e3) & ~ (all_4_12 = e3) & ~ (all_4_19 = e3) % 11.98/2.43 | | | | | | | | | | | | & ~ (all_4_22 = e3)) | ( ~ (all_4_9 = e2) & ~ % 11.98/2.43 | | | | | | | | | | | | (all_4_12 = e2) & ~ (all_4_19 = e2) & ~ % 11.98/2.43 | | | | | | | | | | | | (all_4_22 = e2)) % 11.98/2.43 | | | | | | | | | | | | % 11.98/2.43 | | | | | | | | | | | | BETA: splitting (140) gives: % 11.98/2.43 | | | | | | | | | | | | % 11.98/2.43 | | | | | | | | | | | | Case 1: % 11.98/2.43 | | | | | | | | | | | | | % 11.98/2.44 | | | | | | | | | | | | | (141) ( ~ (all_4_8 = e0) & ~ (all_4_15 = e0) & ~ % 11.98/2.44 | | | | | | | | | | | | | (all_4_18 = e0) & ~ (all_4_21 = e0)) | ( ~ % 11.98/2.44 | | | | | | | | | | | | | (all_4_8 = e1) & ~ (all_4_9 = e1) & ~ % 11.98/2.44 | | | | | | | | | | | | | (all_4_10 = e1) & ~ (all_4_20 = e1)) | ( ~ % 11.98/2.44 | | | | | | | | | | | | | (all_4_8 = e1) & ~ (all_4_15 = e1) & ~ % 11.98/2.44 | | | | | | | | | | | | | (all_4_18 = e1) & ~ (all_4_21 = e1)) % 11.98/2.44 | | | | | | | | | | | | | % 11.98/2.44 | | | | | | | | | | | | | BETA: splitting (141) gives: % 11.98/2.44 | | | | | | | | | | | | | % 11.98/2.44 | | | | | | | | | | | | | Case 1: % 11.98/2.44 | | | | | | | | | | | | | | % 11.98/2.44 | | | | | | | | | | | | | | (142) ~ (all_4_8 = e0) & ~ (all_4_15 = e0) & ~ % 11.98/2.44 | | | | | | | | | | | | | | (all_4_18 = e0) & ~ (all_4_21 = e0) % 11.98/2.44 | | | | | | | | | | | | | | % 11.98/2.44 | | | | | | | | | | | | | | ALPHA: (142) implies: % 11.98/2.44 | | | | | | | | | | | | | | (143) ~ (all_4_21 = e0) % 11.98/2.44 | | | | | | | | | | | | | | % 11.98/2.44 | | | | | | | | | | | | | | REDUCE: (70), (143) imply: % 11.98/2.44 | | | | | | | | | | | | | | (144) $false % 11.98/2.44 | | | | | | | | | | | | | | % 11.98/2.44 | | | | | | | | | | | | | | CLOSE: (144) is inconsistent. % 11.98/2.44 | | | | | | | | | | | | | | % 11.98/2.44 | | | | | | | | | | | | | Case 2: % 11.98/2.44 | | | | | | | | | | | | | | % 11.98/2.44 | | | | | | | | | | | | | | (145) ( ~ (all_4_8 = e1) & ~ (all_4_9 = e1) & ~ % 11.98/2.44 | | | | | | | | | | | | | | (all_4_10 = e1) & ~ (all_4_20 = e1)) | ( ~ % 11.98/2.44 | | | | | | | | | | | | | | (all_4_8 = e1) & ~ (all_4_15 = e1) & ~ % 11.98/2.44 | | | | | | | | | | | | | | (all_4_18 = e1) & ~ (all_4_21 = e1)) % 11.98/2.44 | | | | | | | | | | | | | | % 11.98/2.44 | | | | | | | | | | | | | | BETA: splitting (145) gives: % 11.98/2.44 | | | | | | | | | | | | | | % 11.98/2.44 | | | | | | | | | | | | | | Case 1: % 11.98/2.44 | | | | | | | | | | | | | | | % 11.98/2.44 | | | | | | | | | | | | | | | (146) ~ (all_4_8 = e1) & ~ (all_4_9 = e1) & ~ % 11.98/2.44 | | | | | | | | | | | | | | | (all_4_10 = e1) & ~ (all_4_20 = e1) % 11.98/2.44 | | | | | | | | | | | | | | | % 11.98/2.44 | | | | | | | | | | | | | | | ALPHA: (146) implies: % 11.98/2.44 | | | | | | | | | | | | | | | (147) ~ (all_4_8 = e1) % 11.98/2.44 | | | | | | | | | | | | | | | % 11.98/2.44 | | | | | | | | | | | | | | | REDUCE: (75), (147) imply: % 11.98/2.44 | | | | | | | | | | | | | | | (148) $false % 11.98/2.44 | | | | | | | | | | | | | | | % 11.98/2.44 | | | | | | | | | | | | | | | CLOSE: (148) is inconsistent. % 11.98/2.44 | | | | | | | | | | | | | | | % 11.98/2.44 | | | | | | | | | | | | | | Case 2: % 11.98/2.44 | | | | | | | | | | | | | | | % 11.98/2.44 | | | | | | | | | | | | | | | (149) ~ (all_4_8 = e1) & ~ (all_4_15 = e1) & ~ % 11.98/2.44 | | | | | | | | | | | | | | | (all_4_18 = e1) & ~ (all_4_21 = e1) % 11.98/2.44 | | | | | | | | | | | | | | | % 11.98/2.44 | | | | | | | | | | | | | | | ALPHA: (149) implies: % 11.98/2.44 | | | | | | | | | | | | | | | (150) ~ (all_4_8 = e1) % 11.98/2.44 | | | | | | | | | | | | | | | % 11.98/2.44 | | | | | | | | | | | | | | | REDUCE: (75), (150) imply: % 11.98/2.44 | | | | | | | | | | | | | | | (151) $false % 11.98/2.44 | | | | | | | | | | | | | | | % 11.98/2.44 | | | | | | | | | | | | | | | CLOSE: (151) is inconsistent. % 11.98/2.44 | | | | | | | | | | | | | | | % 11.98/2.44 | | | | | | | | | | | | | | End of split % 11.98/2.44 | | | | | | | | | | | | | | % 11.98/2.44 | | | | | | | | | | | | | End of split % 11.98/2.44 | | | | | | | | | | | | | % 11.98/2.44 | | | | | | | | | | | | Case 2: % 11.98/2.44 | | | | | | | | | | | | | % 11.98/2.44 | | | | | | | | | | | | | (152) ( ~ (all_4_9 = e3) & ~ (all_4_9 = e2) & ~ % 11.98/2.44 | | | | | | | | | | | | | (all_4_9 = e0) & ~ (all_4_9 = e1)) | ( ~ % 11.98/2.44 | | | | | | | | | | | | | (all_4_9 = e3) & ~ (all_4_12 = e3) & ~ % 11.98/2.44 | | | | | | | | | | | | | (all_4_19 = e3) & ~ (all_4_22 = e3)) | ( ~ % 11.98/2.44 | | | | | | | | | | | | | (all_4_9 = e2) & ~ (all_4_12 = e2) & ~ % 11.98/2.44 | | | | | | | | | | | | | (all_4_19 = e2) & ~ (all_4_22 = e2)) % 11.98/2.44 | | | | | | | | | | | | | % 11.98/2.44 | | | | | | | | | | | | | BETA: splitting (152) gives: % 11.98/2.44 | | | | | | | | | | | | | % 11.98/2.44 | | | | | | | | | | | | | Case 1: % 11.98/2.44 | | | | | | | | | | | | | | % 11.98/2.44 | | | | | | | | | | | | | | (153) ~ (all_4_9 = e3) & ~ (all_4_9 = e2) & ~ % 11.98/2.44 | | | | | | | | | | | | | | (all_4_9 = e0) & ~ (all_4_9 = e1) % 11.98/2.44 | | | | | | | | | | | | | | % 11.98/2.44 | | | | | | | | | | | | | | ALPHA: (153) implies: % 11.98/2.44 | | | | | | | | | | | | | | (154) ~ (all_4_9 = e2) % 11.98/2.44 | | | | | | | | | | | | | | % 11.98/2.44 | | | | | | | | | | | | | | REDUCE: (72), (154) imply: % 11.98/2.44 | | | | | | | | | | | | | | (155) $false % 11.98/2.44 | | | | | | | | | | | | | | % 11.98/2.44 | | | | | | | | | | | | | | CLOSE: (155) is inconsistent. % 11.98/2.44 | | | | | | | | | | | | | | % 11.98/2.44 | | | | | | | | | | | | | Case 2: % 11.98/2.44 | | | | | | | | | | | | | | % 11.98/2.44 | | | | | | | | | | | | | | (156) ( ~ (all_4_9 = e3) & ~ (all_4_12 = e3) & ~ % 11.98/2.44 | | | | | | | | | | | | | | (all_4_19 = e3) & ~ (all_4_22 = e3)) | ( ~ % 11.98/2.44 | | | | | | | | | | | | | | (all_4_9 = e2) & ~ (all_4_12 = e2) & ~ % 11.98/2.44 | | | | | | | | | | | | | | (all_4_19 = e2) & ~ (all_4_22 = e2)) % 11.98/2.44 | | | | | | | | | | | | | | % 11.98/2.44 | | | | | | | | | | | | | | BETA: splitting (156) gives: % 11.98/2.44 | | | | | | | | | | | | | | % 11.98/2.44 | | | | | | | | | | | | | | Case 1: % 11.98/2.44 | | | | | | | | | | | | | | | % 11.98/2.44 | | | | | | | | | | | | | | | (157) ~ (all_4_9 = e3) & ~ (all_4_12 = e3) & ~ % 11.98/2.44 | | | | | | | | | | | | | | | (all_4_19 = e3) & ~ (all_4_22 = e3) % 11.98/2.44 | | | | | | | | | | | | | | | % 11.98/2.44 | | | | | | | | | | | | | | | ALPHA: (157) implies: % 11.98/2.44 | | | | | | | | | | | | | | | (158) ~ (all_4_12 = e3) % 11.98/2.44 | | | | | | | | | | | | | | | % 11.98/2.44 | | | | | | | | | | | | | | | REDUCE: (67), (158) imply: % 11.98/2.44 | | | | | | | | | | | | | | | (159) $false % 11.98/2.44 | | | | | | | | | | | | | | | % 11.98/2.44 | | | | | | | | | | | | | | | CLOSE: (159) is inconsistent. % 11.98/2.44 | | | | | | | | | | | | | | | % 11.98/2.44 | | | | | | | | | | | | | | Case 2: % 11.98/2.44 | | | | | | | | | | | | | | | % 11.98/2.44 | | | | | | | | | | | | | | | (160) ~ (all_4_9 = e2) & ~ (all_4_12 = e2) & ~ % 11.98/2.44 | | | | | | | | | | | | | | | (all_4_19 = e2) & ~ (all_4_22 = e2) % 11.98/2.44 | | | | | | | | | | | | | | | % 11.98/2.44 | | | | | | | | | | | | | | | ALPHA: (160) implies: % 11.98/2.44 | | | | | | | | | | | | | | | (161) ~ (all_4_9 = e2) % 11.98/2.44 | | | | | | | | | | | | | | | % 11.98/2.44 | | | | | | | | | | | | | | | REDUCE: (72), (161) imply: % 11.98/2.44 | | | | | | | | | | | | | | | (162) $false % 11.98/2.44 | | | | | | | | | | | | | | | % 11.98/2.44 | | | | | | | | | | | | | | | CLOSE: (162) is inconsistent. % 11.98/2.44 | | | | | | | | | | | | | | | % 11.98/2.44 | | | | | | | | | | | | | | End of split % 11.98/2.44 | | | | | | | | | | | | | | % 11.98/2.44 | | | | | | | | | | | | | End of split % 11.98/2.44 | | | | | | | | | | | | | % 11.98/2.44 | | | | | | | | | | | | End of split % 11.98/2.44 | | | | | | | | | | | | % 11.98/2.44 | | | | | | | | | | | End of split % 11.98/2.44 | | | | | | | | | | | % 11.98/2.44 | | | | | | | | | | Case 2: % 11.98/2.44 | | | | | | | | | | | % 11.98/2.44 | | | | | | | | | | | (163) ( ~ (all_4_9 = e0) & ~ (all_4_12 = e0) & ~ % 11.98/2.44 | | | | | | | | | | | (all_4_19 = e0) & ~ (all_4_22 = e0)) | ( ~ % 11.98/2.44 | | | | | | | | | | | (all_4_9 = e1) & ~ (all_4_12 = e1) & ~ % 11.98/2.44 | | | | | | | | | | | (all_4_19 = e1) & ~ (all_4_22 = e1)) | ( ~ % 11.98/2.44 | | | | | | | | | | | (all_4_10 = e3) & ~ (all_4_10 = e2) & ~ % 11.98/2.44 | | | | | | | | | | | (all_4_10 = e0) & ~ (all_4_10 = e1)) | ( ~ % 11.98/2.44 | | | | | | | | | | | (all_4_10 = e3) & ~ (all_4_13 = e3) & ~ % 11.98/2.44 | | | | | | | | | | | (all_4_16 = e3) & ~ (all_4_23 = e3)) | ( ~ % 11.98/2.44 | | | | | | | | | | | (all_4_10 = e2) & ~ (all_4_13 = e2) & ~ % 11.98/2.44 | | | | | | | | | | | (all_4_16 = e2) & ~ (all_4_23 = e2)) | ( ~ % 11.98/2.44 | | | | | | | | | | | (all_4_10 = e0) & ~ (all_4_13 = e0) & ~ % 11.98/2.44 | | | | | | | | | | | (all_4_16 = e0) & ~ (all_4_23 = e0)) | ( ~ % 11.98/2.44 | | | | | | | | | | | (all_4_10 = e1) & ~ (all_4_13 = e1) & ~ % 11.98/2.44 | | | | | | | | | | | (all_4_16 = e1) & ~ (all_4_23 = e1)) | ( ~ % 11.98/2.44 | | | | | | | | | | | (all_4_11 = e3) & ~ (all_4_11 = e2) & ~ % 11.98/2.44 | | | | | | | | | | | (all_4_11 = e0) & ~ (all_4_11 = e1)) | ( ~ % 11.98/2.44 | | | | | | | | | | | (all_4_11 = e3) & ~ (all_4_12 = e3) & ~ % 11.98/2.44 | | | | | | | | | | | (all_4_13 = e3) & ~ (all_4_21 = e3)) | ( ~ % 11.98/2.44 | | | | | | | | | | | (all_4_11 = e3) & ~ (all_4_14 = e3) & ~ % 11.98/2.44 | | | | | | | | | | | (all_4_17 = e3) & ~ (all_4_20 = e3)) | ( ~ % 11.98/2.44 | | | | | | | | | | | (all_4_11 = e2) & ~ (all_4_12 = e2) & ~ % 11.98/2.44 | | | | | | | | | | | (all_4_13 = e2) & ~ (all_4_21 = e2)) | ( ~ % 11.98/2.44 | | | | | | | | | | | (all_4_11 = e2) & ~ (all_4_14 = e2) & ~ % 11.98/2.44 | | | | | | | | | | | (all_4_17 = e2) & ~ (all_4_20 = e2)) | ( ~ % 11.98/2.44 | | | | | | | | | | | (all_4_11 = e0) & ~ (all_4_12 = e0) & ~ % 11.98/2.44 | | | | | | | | | | | (all_4_13 = e0) & ~ (all_4_21 = e0)) % 11.98/2.44 | | | | | | | | | | | % 11.98/2.44 | | | | | | | | | | | BETA: splitting (163) gives: % 11.98/2.44 | | | | | | | | | | | % 11.98/2.44 | | | | | | | | | | | Case 1: % 11.98/2.44 | | | | | | | | | | | | % 11.98/2.44 | | | | | | | | | | | | (164) ( ~ (all_4_9 = e0) & ~ (all_4_12 = e0) & ~ % 11.98/2.44 | | | | | | | | | | | | (all_4_19 = e0) & ~ (all_4_22 = e0)) | ( ~ % 11.98/2.44 | | | | | | | | | | | | (all_4_9 = e1) & ~ (all_4_12 = e1) & ~ % 11.98/2.44 | | | | | | | | | | | | (all_4_19 = e1) & ~ (all_4_22 = e1)) | ( ~ % 11.98/2.44 | | | | | | | | | | | | (all_4_10 = e3) & ~ (all_4_10 = e2) & ~ % 11.98/2.44 | | | | | | | | | | | | (all_4_10 = e0) & ~ (all_4_10 = e1)) | ( ~ % 11.98/2.44 | | | | | | | | | | | | (all_4_10 = e3) & ~ (all_4_13 = e3) & ~ % 11.98/2.44 | | | | | | | | | | | | (all_4_16 = e3) & ~ (all_4_23 = e3)) | ( ~ % 11.98/2.44 | | | | | | | | | | | | (all_4_10 = e2) & ~ (all_4_13 = e2) & ~ % 11.98/2.44 | | | | | | | | | | | | (all_4_16 = e2) & ~ (all_4_23 = e2)) | ( ~ % 11.98/2.44 | | | | | | | | | | | | (all_4_10 = e0) & ~ (all_4_13 = e0) & ~ % 11.98/2.44 | | | | | | | | | | | | (all_4_16 = e0) & ~ (all_4_23 = e0)) % 11.98/2.44 | | | | | | | | | | | | % 11.98/2.44 | | | | | | | | | | | | BETA: splitting (164) gives: % 11.98/2.44 | | | | | | | | | | | | % 11.98/2.44 | | | | | | | | | | | | Case 1: % 11.98/2.44 | | | | | | | | | | | | | % 11.98/2.44 | | | | | | | | | | | | | (165) ( ~ (all_4_9 = e0) & ~ (all_4_12 = e0) & ~ % 11.98/2.44 | | | | | | | | | | | | | (all_4_19 = e0) & ~ (all_4_22 = e0)) | ( ~ % 11.98/2.44 | | | | | | | | | | | | | (all_4_9 = e1) & ~ (all_4_12 = e1) & ~ % 11.98/2.44 | | | | | | | | | | | | | (all_4_19 = e1) & ~ (all_4_22 = e1)) | ( ~ % 11.98/2.44 | | | | | | | | | | | | | (all_4_10 = e3) & ~ (all_4_10 = e2) & ~ % 11.98/2.44 | | | | | | | | | | | | | (all_4_10 = e0) & ~ (all_4_10 = e1)) % 11.98/2.44 | | | | | | | | | | | | | % 11.98/2.44 | | | | | | | | | | | | | BETA: splitting (165) gives: % 11.98/2.44 | | | | | | | | | | | | | % 11.98/2.44 | | | | | | | | | | | | | Case 1: % 11.98/2.44 | | | | | | | | | | | | | | % 11.98/2.44 | | | | | | | | | | | | | | (166) ~ (all_4_9 = e0) & ~ (all_4_12 = e0) & ~ % 11.98/2.44 | | | | | | | | | | | | | | (all_4_19 = e0) & ~ (all_4_22 = e0) % 11.98/2.44 | | | | | | | | | | | | | | % 11.98/2.44 | | | | | | | | | | | | | | ALPHA: (166) implies: % 11.98/2.44 | | | | | | | | | | | | | | (167) ~ (all_4_22 = e0) % 11.98/2.44 | | | | | | | | | | | | | | % 11.98/2.44 | | | | | | | | | | | | | | REDUCE: (53), (167) imply: % 11.98/2.44 | | | | | | | | | | | | | | (168) $false % 11.98/2.44 | | | | | | | | | | | | | | % 11.98/2.44 | | | | | | | | | | | | | | CLOSE: (168) is inconsistent. % 11.98/2.44 | | | | | | | | | | | | | | % 11.98/2.44 | | | | | | | | | | | | | Case 2: % 11.98/2.44 | | | | | | | | | | | | | | % 11.98/2.44 | | | | | | | | | | | | | | (169) ( ~ (all_4_9 = e1) & ~ (all_4_12 = e1) & ~ % 11.98/2.44 | | | | | | | | | | | | | | (all_4_19 = e1) & ~ (all_4_22 = e1)) | ( ~ % 11.98/2.44 | | | | | | | | | | | | | | (all_4_10 = e3) & ~ (all_4_10 = e2) & ~ % 11.98/2.44 | | | | | | | | | | | | | | (all_4_10 = e0) & ~ (all_4_10 = e1)) % 11.98/2.44 | | | | | | | | | | | | | | % 11.98/2.44 | | | | | | | | | | | | | | BETA: splitting (169) gives: % 11.98/2.44 | | | | | | | | | | | | | | % 11.98/2.44 | | | | | | | | | | | | | | Case 1: % 11.98/2.44 | | | | | | | | | | | | | | | % 11.98/2.44 | | | | | | | | | | | | | | | (170) ~ (all_4_9 = e1) & ~ (all_4_12 = e1) & ~ % 11.98/2.44 | | | | | | | | | | | | | | | (all_4_19 = e1) & ~ (all_4_22 = e1) % 11.98/2.44 | | | | | | | | | | | | | | | % 11.98/2.44 | | | | | | | | | | | | | | | ALPHA: (170) implies: % 11.98/2.44 | | | | | | | | | | | | | | | (171) ~ (all_4_19 = e1) % 11.98/2.45 | | | | | | | | | | | | | | | % 11.98/2.45 | | | | | | | | | | | | | | | REDUCE: (86), (171) imply: % 11.98/2.45 | | | | | | | | | | | | | | | (172) $false % 11.98/2.45 | | | | | | | | | | | | | | | % 11.98/2.45 | | | | | | | | | | | | | | | CLOSE: (172) is inconsistent. % 11.98/2.45 | | | | | | | | | | | | | | | % 11.98/2.45 | | | | | | | | | | | | | | Case 2: % 11.98/2.45 | | | | | | | | | | | | | | | % 11.98/2.45 | | | | | | | | | | | | | | | (173) ~ (all_4_10 = e3) & ~ (all_4_10 = e2) & ~ % 11.98/2.45 | | | | | | | | | | | | | | | (all_4_10 = e0) & ~ (all_4_10 = e1) % 11.98/2.45 | | | | | | | | | | | | | | | % 11.98/2.45 | | | | | | | | | | | | | | | ALPHA: (173) implies: % 11.98/2.45 | | | | | | | | | | | | | | | (174) ~ (all_4_10 = e3) % 11.98/2.45 | | | | | | | | | | | | | | | % 11.98/2.45 | | | | | | | | | | | | | | | REDUCE: (77), (174) imply: % 11.98/2.45 | | | | | | | | | | | | | | | (175) $false % 11.98/2.45 | | | | | | | | | | | | | | | % 11.98/2.45 | | | | | | | | | | | | | | | CLOSE: (175) is inconsistent. % 11.98/2.45 | | | | | | | | | | | | | | | % 11.98/2.45 | | | | | | | | | | | | | | End of split % 11.98/2.45 | | | | | | | | | | | | | | % 11.98/2.45 | | | | | | | | | | | | | End of split % 11.98/2.45 | | | | | | | | | | | | | % 11.98/2.45 | | | | | | | | | | | | Case 2: % 11.98/2.45 | | | | | | | | | | | | | % 11.98/2.45 | | | | | | | | | | | | | (176) ( ~ (all_4_10 = e3) & ~ (all_4_13 = e3) & ~ % 11.98/2.45 | | | | | | | | | | | | | (all_4_16 = e3) & ~ (all_4_23 = e3)) | ( ~ % 11.98/2.45 | | | | | | | | | | | | | (all_4_10 = e2) & ~ (all_4_13 = e2) & ~ % 11.98/2.45 | | | | | | | | | | | | | (all_4_16 = e2) & ~ (all_4_23 = e2)) | ( ~ % 11.98/2.45 | | | | | | | | | | | | | (all_4_10 = e0) & ~ (all_4_13 = e0) & ~ % 11.98/2.45 | | | | | | | | | | | | | (all_4_16 = e0) & ~ (all_4_23 = e0)) % 11.98/2.45 | | | | | | | | | | | | | % 11.98/2.45 | | | | | | | | | | | | | BETA: splitting (176) gives: % 11.98/2.45 | | | | | | | | | | | | | % 11.98/2.45 | | | | | | | | | | | | | Case 1: % 11.98/2.45 | | | | | | | | | | | | | | % 11.98/2.45 | | | | | | | | | | | | | | (177) ~ (all_4_10 = e3) & ~ (all_4_13 = e3) & ~ % 11.98/2.45 | | | | | | | | | | | | | | (all_4_16 = e3) & ~ (all_4_23 = e3) % 11.98/2.45 | | | | | | | | | | | | | | % 11.98/2.45 | | | | | | | | | | | | | | ALPHA: (177) implies: % 11.98/2.45 | | | | | | | | | | | | | | (178) ~ (all_4_10 = e3) % 11.98/2.45 | | | | | | | | | | | | | | % 12.09/2.45 | | | | | | | | | | | | | | REDUCE: (77), (178) imply: % 12.09/2.45 | | | | | | | | | | | | | | (179) $false % 12.09/2.45 | | | | | | | | | | | | | | % 12.09/2.45 | | | | | | | | | | | | | | CLOSE: (179) is inconsistent. % 12.09/2.45 | | | | | | | | | | | | | | % 12.09/2.45 | | | | | | | | | | | | | Case 2: % 12.09/2.45 | | | | | | | | | | | | | | % 12.09/2.45 | | | | | | | | | | | | | | (180) ( ~ (all_4_10 = e2) & ~ (all_4_13 = e2) & ~ % 12.09/2.45 | | | | | | | | | | | | | | (all_4_16 = e2) & ~ (all_4_23 = e2)) | ( ~ % 12.09/2.45 | | | | | | | | | | | | | | (all_4_10 = e0) & ~ (all_4_13 = e0) & ~ % 12.09/2.45 | | | | | | | | | | | | | | (all_4_16 = e0) & ~ (all_4_23 = e0)) % 12.09/2.45 | | | | | | | | | | | | | | % 12.09/2.45 | | | | | | | | | | | | | | BETA: splitting (180) gives: % 12.09/2.45 | | | | | | | | | | | | | | % 12.09/2.45 | | | | | | | | | | | | | | Case 1: % 12.09/2.45 | | | | | | | | | | | | | | | % 12.09/2.45 | | | | | | | | | | | | | | | (181) ~ (all_4_10 = e2) & ~ (all_4_13 = e2) & ~ % 12.09/2.45 | | | | | | | | | | | | | | | (all_4_16 = e2) & ~ (all_4_23 = e2) % 12.09/2.45 | | | | | | | | | | | | | | | % 12.09/2.45 | | | | | | | | | | | | | | | ALPHA: (181) implies: % 12.09/2.45 | | | | | | | | | | | | | | | (182) ~ (all_4_13 = e2) % 12.09/2.45 | | | | | | | | | | | | | | | % 12.09/2.45 | | | | | | | | | | | | | | | REDUCE: (81), (182) imply: % 12.09/2.45 | | | | | | | | | | | | | | | (183) $false % 12.09/2.45 | | | | | | | | | | | | | | | % 12.09/2.45 | | | | | | | | | | | | | | | CLOSE: (183) is inconsistent. % 12.09/2.45 | | | | | | | | | | | | | | | % 12.09/2.45 | | | | | | | | | | | | | | Case 2: % 12.09/2.45 | | | | | | | | | | | | | | | % 12.09/2.45 | | | | | | | | | | | | | | | (184) ~ (all_4_10 = e0) & ~ (all_4_13 = e0) & ~ % 12.09/2.45 | | | | | | | | | | | | | | | (all_4_16 = e0) & ~ (all_4_23 = e0) % 12.09/2.45 | | | | | | | | | | | | | | | % 12.09/2.45 | | | | | | | | | | | | | | | ALPHA: (184) implies: % 12.09/2.45 | | | | | | | | | | | | | | | (185) ~ (all_4_23 = e0) % 12.09/2.45 | | | | | | | | | | | | | | | % 12.09/2.45 | | | | | | | | | | | | | | | REDUCE: (90), (185) imply: % 12.09/2.45 | | | | | | | | | | | | | | | (186) $false % 12.09/2.45 | | | | | | | | | | | | | | | % 12.09/2.45 | | | | | | | | | | | | | | | CLOSE: (186) is inconsistent. % 12.09/2.45 | | | | | | | | | | | | | | | % 12.09/2.45 | | | | | | | | | | | | | | End of split % 12.09/2.45 | | | | | | | | | | | | | | % 12.09/2.45 | | | | | | | | | | | | | End of split % 12.09/2.45 | | | | | | | | | | | | | % 12.09/2.45 | | | | | | | | | | | | End of split % 12.09/2.45 | | | | | | | | | | | | % 12.09/2.45 | | | | | | | | | | | Case 2: % 12.09/2.45 | | | | | | | | | | | | % 12.09/2.45 | | | | | | | | | | | | (187) ( ~ (all_4_10 = e1) & ~ (all_4_13 = e1) & ~ % 12.09/2.45 | | | | | | | | | | | | (all_4_16 = e1) & ~ (all_4_23 = e1)) | ( ~ % 12.09/2.45 | | | | | | | | | | | | (all_4_11 = e3) & ~ (all_4_11 = e2) & ~ % 12.09/2.45 | | | | | | | | | | | | (all_4_11 = e0) & ~ (all_4_11 = e1)) | ( ~ % 12.09/2.45 | | | | | | | | | | | | (all_4_11 = e3) & ~ (all_4_12 = e3) & ~ % 12.09/2.45 | | | | | | | | | | | | (all_4_13 = e3) & ~ (all_4_21 = e3)) | ( ~ % 12.09/2.45 | | | | | | | | | | | | (all_4_11 = e3) & ~ (all_4_14 = e3) & ~ % 12.09/2.45 | | | | | | | | | | | | (all_4_17 = e3) & ~ (all_4_20 = e3)) | ( ~ % 12.09/2.45 | | | | | | | | | | | | (all_4_11 = e2) & ~ (all_4_12 = e2) & ~ % 12.09/2.45 | | | | | | | | | | | | (all_4_13 = e2) & ~ (all_4_21 = e2)) | ( ~ % 12.09/2.45 | | | | | | | | | | | | (all_4_11 = e2) & ~ (all_4_14 = e2) & ~ % 12.09/2.45 | | | | | | | | | | | | (all_4_17 = e2) & ~ (all_4_20 = e2)) | ( ~ % 12.09/2.45 | | | | | | | | | | | | (all_4_11 = e0) & ~ (all_4_12 = e0) & ~ % 12.09/2.45 | | | | | | | | | | | | (all_4_13 = e0) & ~ (all_4_21 = e0)) % 12.09/2.45 | | | | | | | | | | | | % 12.09/2.45 | | | | | | | | | | | | BETA: splitting (187) gives: % 12.09/2.45 | | | | | | | | | | | | % 12.09/2.45 | | | | | | | | | | | | Case 1: % 12.09/2.45 | | | | | | | | | | | | | % 12.09/2.45 | | | | | | | | | | | | | (188) ( ~ (all_4_10 = e1) & ~ (all_4_13 = e1) & ~ % 12.09/2.45 | | | | | | | | | | | | | (all_4_16 = e1) & ~ (all_4_23 = e1)) | ( ~ % 12.09/2.45 | | | | | | | | | | | | | (all_4_11 = e3) & ~ (all_4_11 = e2) & ~ % 12.09/2.45 | | | | | | | | | | | | | (all_4_11 = e0) & ~ (all_4_11 = e1)) | ( ~ % 12.09/2.45 | | | | | | | | | | | | | (all_4_11 = e3) & ~ (all_4_12 = e3) & ~ % 12.09/2.45 | | | | | | | | | | | | | (all_4_13 = e3) & ~ (all_4_21 = e3)) % 12.09/2.45 | | | | | | | | | | | | | % 12.09/2.45 | | | | | | | | | | | | | BETA: splitting (188) gives: % 12.09/2.45 | | | | | | | | | | | | | % 12.09/2.45 | | | | | | | | | | | | | Case 1: % 12.09/2.45 | | | | | | | | | | | | | | % 12.09/2.45 | | | | | | | | | | | | | | (189) ~ (all_4_10 = e1) & ~ (all_4_13 = e1) & ~ % 12.09/2.45 | | | | | | | | | | | | | | (all_4_16 = e1) & ~ (all_4_23 = e1) % 12.09/2.45 | | | | | | | | | | | | | | % 12.09/2.45 | | | | | | | | | | | | | | ALPHA: (189) implies: % 12.09/2.45 | | | | | | | | | | | | | | (190) ~ (all_4_16 = e1) % 12.09/2.45 | | | | | | | | | | | | | | % 12.09/2.45 | | | | | | | | | | | | | | REDUCE: (85), (190) imply: % 12.09/2.45 | | | | | | | | | | | | | | (191) $false % 12.09/2.45 | | | | | | | | | | | | | | % 12.09/2.45 | | | | | | | | | | | | | | CLOSE: (191) is inconsistent. % 12.09/2.45 | | | | | | | | | | | | | | % 12.09/2.45 | | | | | | | | | | | | | Case 2: % 12.09/2.45 | | | | | | | | | | | | | | % 12.09/2.45 | | | | | | | | | | | | | | (192) ( ~ (all_4_11 = e3) & ~ (all_4_11 = e2) & ~ % 12.09/2.45 | | | | | | | | | | | | | | (all_4_11 = e0) & ~ (all_4_11 = e1)) | ( ~ % 12.09/2.45 | | | | | | | | | | | | | | (all_4_11 = e3) & ~ (all_4_12 = e3) & ~ % 12.09/2.45 | | | | | | | | | | | | | | (all_4_13 = e3) & ~ (all_4_21 = e3)) % 12.09/2.45 | | | | | | | | | | | | | | % 12.09/2.45 | | | | | | | | | | | | | | BETA: splitting (192) gives: % 12.09/2.45 | | | | | | | | | | | | | | % 12.09/2.45 | | | | | | | | | | | | | | Case 1: % 12.09/2.45 | | | | | | | | | | | | | | | % 12.09/2.45 | | | | | | | | | | | | | | | (193) ~ (all_4_11 = e3) & ~ (all_4_11 = e2) & ~ % 12.09/2.45 | | | | | | | | | | | | | | | (all_4_11 = e0) & ~ (all_4_11 = e1) % 12.09/2.45 | | | | | | | | | | | | | | | % 12.09/2.45 | | | | | | | | | | | | | | | ALPHA: (193) implies: % 12.09/2.45 | | | | | | | | | | | | | | | (194) ~ (all_4_11 = e1) % 12.09/2.45 | | | | | | | | | | | | | | | % 12.09/2.45 | | | | | | | | | | | | | | | REDUCE: (71), (194) imply: % 12.09/2.45 | | | | | | | | | | | | | | | (195) $false % 12.09/2.45 | | | | | | | | | | | | | | | % 12.09/2.45 | | | | | | | | | | | | | | | CLOSE: (195) is inconsistent. % 12.09/2.45 | | | | | | | | | | | | | | | % 12.09/2.45 | | | | | | | | | | | | | | Case 2: % 12.09/2.45 | | | | | | | | | | | | | | | % 12.09/2.45 | | | | | | | | | | | | | | | (196) ~ (all_4_11 = e3) & ~ (all_4_12 = e3) & ~ % 12.09/2.45 | | | | | | | | | | | | | | | (all_4_13 = e3) & ~ (all_4_21 = e3) % 12.09/2.45 | | | | | | | | | | | | | | | % 12.09/2.45 | | | | | | | | | | | | | | | ALPHA: (196) implies: % 12.09/2.45 | | | | | | | | | | | | | | | (197) ~ (all_4_12 = e3) % 12.09/2.45 | | | | | | | | | | | | | | | % 12.09/2.45 | | | | | | | | | | | | | | | REDUCE: (67), (197) imply: % 12.09/2.45 | | | | | | | | | | | | | | | (198) $false % 12.09/2.45 | | | | | | | | | | | | | | | % 12.09/2.45 | | | | | | | | | | | | | | | CLOSE: (198) is inconsistent. % 12.09/2.45 | | | | | | | | | | | | | | | % 12.09/2.45 | | | | | | | | | | | | | | End of split % 12.09/2.45 | | | | | | | | | | | | | | % 12.09/2.45 | | | | | | | | | | | | | End of split % 12.09/2.45 | | | | | | | | | | | | | % 12.09/2.45 | | | | | | | | | | | | Case 2: % 12.09/2.45 | | | | | | | | | | | | | % 12.09/2.45 | | | | | | | | | | | | | (199) ( ~ (all_4_11 = e3) & ~ (all_4_14 = e3) & ~ % 12.09/2.45 | | | | | | | | | | | | | (all_4_17 = e3) & ~ (all_4_20 = e3)) | ( ~ % 12.09/2.45 | | | | | | | | | | | | | (all_4_11 = e2) & ~ (all_4_12 = e2) & ~ % 12.09/2.45 | | | | | | | | | | | | | (all_4_13 = e2) & ~ (all_4_21 = e2)) | ( ~ % 12.09/2.45 | | | | | | | | | | | | | (all_4_11 = e2) & ~ (all_4_14 = e2) & ~ % 12.09/2.45 | | | | | | | | | | | | | (all_4_17 = e2) & ~ (all_4_20 = e2)) | ( ~ % 12.09/2.45 | | | | | | | | | | | | | (all_4_11 = e0) & ~ (all_4_12 = e0) & ~ % 12.09/2.45 | | | | | | | | | | | | | (all_4_13 = e0) & ~ (all_4_21 = e0)) % 12.09/2.45 | | | | | | | | | | | | | % 12.09/2.45 | | | | | | | | | | | | | BETA: splitting (199) gives: % 12.09/2.45 | | | | | | | | | | | | | % 12.09/2.45 | | | | | | | | | | | | | Case 1: % 12.09/2.45 | | | | | | | | | | | | | | % 12.09/2.45 | | | | | | | | | | | | | | (200) ( ~ (all_4_11 = e3) & ~ (all_4_14 = e3) & ~ % 12.09/2.45 | | | | | | | | | | | | | | (all_4_17 = e3) & ~ (all_4_20 = e3)) | ( ~ % 12.09/2.45 | | | | | | | | | | | | | | (all_4_11 = e2) & ~ (all_4_12 = e2) & ~ % 12.09/2.45 | | | | | | | | | | | | | | (all_4_13 = e2) & ~ (all_4_21 = e2)) % 12.09/2.45 | | | | | | | | | | | | | | % 12.09/2.45 | | | | | | | | | | | | | | BETA: splitting (200) gives: % 12.09/2.45 | | | | | | | | | | | | | | % 12.09/2.45 | | | | | | | | | | | | | | Case 1: % 12.09/2.45 | | | | | | | | | | | | | | | % 12.09/2.45 | | | | | | | | | | | | | | | (201) ~ (all_4_11 = e3) & ~ (all_4_14 = e3) & ~ % 12.09/2.45 | | | | | | | | | | | | | | | (all_4_17 = e3) & ~ (all_4_20 = e3) % 12.09/2.45 | | | | | | | | | | | | | | | % 12.09/2.45 | | | | | | | | | | | | | | | ALPHA: (201) implies: % 12.09/2.45 | | | | | | | | | | | | | | | (202) ~ (all_4_17 = e3) % 12.09/2.45 | | | | | | | | | | | | | | | % 12.09/2.45 | | | | | | | | | | | | | | | REDUCE: (79), (202) imply: % 12.09/2.45 | | | | | | | | | | | | | | | (203) $false % 12.09/2.45 | | | | | | | | | | | | | | | % 12.09/2.45 | | | | | | | | | | | | | | | CLOSE: (203) is inconsistent. % 12.09/2.45 | | | | | | | | | | | | | | | % 12.09/2.45 | | | | | | | | | | | | | | Case 2: % 12.09/2.45 | | | | | | | | | | | | | | | % 12.09/2.45 | | | | | | | | | | | | | | | (204) ~ (all_4_11 = e2) & ~ (all_4_12 = e2) & ~ % 12.09/2.45 | | | | | | | | | | | | | | | (all_4_13 = e2) & ~ (all_4_21 = e2) % 12.09/2.45 | | | | | | | | | | | | | | | % 12.09/2.45 | | | | | | | | | | | | | | | ALPHA: (204) implies: % 12.09/2.45 | | | | | | | | | | | | | | | (205) ~ (all_4_13 = e2) % 12.09/2.45 | | | | | | | | | | | | | | | % 12.09/2.45 | | | | | | | | | | | | | | | REDUCE: (81), (205) imply: % 12.09/2.45 | | | | | | | | | | | | | | | (206) $false % 12.09/2.45 | | | | | | | | | | | | | | | % 12.09/2.45 | | | | | | | | | | | | | | | CLOSE: (206) is inconsistent. % 12.09/2.45 | | | | | | | | | | | | | | | % 12.09/2.45 | | | | | | | | | | | | | | End of split % 12.09/2.45 | | | | | | | | | | | | | | % 12.09/2.45 | | | | | | | | | | | | | Case 2: % 12.09/2.45 | | | | | | | | | | | | | | % 12.09/2.45 | | | | | | | | | | | | | | (207) ( ~ (all_4_11 = e2) & ~ (all_4_14 = e2) & ~ % 12.09/2.45 | | | | | | | | | | | | | | (all_4_17 = e2) & ~ (all_4_20 = e2)) | ( ~ % 12.09/2.45 | | | | | | | | | | | | | | (all_4_11 = e0) & ~ (all_4_12 = e0) & ~ % 12.09/2.45 | | | | | | | | | | | | | | (all_4_13 = e0) & ~ (all_4_21 = e0)) % 12.09/2.45 | | | | | | | | | | | | | | % 12.09/2.45 | | | | | | | | | | | | | | BETA: splitting (207) gives: % 12.09/2.45 | | | | | | | | | | | | | | % 12.09/2.45 | | | | | | | | | | | | | | Case 1: % 12.09/2.45 | | | | | | | | | | | | | | | % 12.09/2.46 | | | | | | | | | | | | | | | (208) ~ (all_4_11 = e2) & ~ (all_4_14 = e2) & ~ % 12.09/2.46 | | | | | | | | | | | | | | | (all_4_17 = e2) & ~ (all_4_20 = e2) % 12.09/2.46 | | | | | | | | | | | | | | | % 12.09/2.46 | | | | | | | | | | | | | | | ALPHA: (208) implies: % 12.09/2.46 | | | | | | | | | | | | | | | (209) ~ (all_4_14 = e2) % 12.09/2.46 | | | | | | | | | | | | | | | % 12.09/2.46 | | | | | | | | | | | | | | | REDUCE: (57), (209) imply: % 12.09/2.46 | | | | | | | | | | | | | | | (210) $false % 12.09/2.46 | | | | | | | | | | | | | | | % 12.09/2.46 | | | | | | | | | | | | | | | CLOSE: (210) is inconsistent. % 12.09/2.46 | | | | | | | | | | | | | | | % 12.09/2.46 | | | | | | | | | | | | | | Case 2: % 12.09/2.46 | | | | | | | | | | | | | | | % 12.09/2.46 | | | | | | | | | | | | | | | (211) ~ (all_4_11 = e0) & ~ (all_4_12 = e0) & ~ % 12.09/2.46 | | | | | | | | | | | | | | | (all_4_13 = e0) & ~ (all_4_21 = e0) % 12.09/2.46 | | | | | | | | | | | | | | | % 12.09/2.46 | | | | | | | | | | | | | | | ALPHA: (211) implies: % 12.09/2.46 | | | | | | | | | | | | | | | (212) ~ (all_4_21 = e0) % 12.09/2.46 | | | | | | | | | | | | | | | % 12.09/2.46 | | | | | | | | | | | | | | | REDUCE: (70), (212) imply: % 12.09/2.46 | | | | | | | | | | | | | | | (213) $false % 12.09/2.46 | | | | | | | | | | | | | | | % 12.09/2.46 | | | | | | | | | | | | | | | CLOSE: (213) is inconsistent. % 12.09/2.46 | | | | | | | | | | | | | | | % 12.09/2.46 | | | | | | | | | | | | | | End of split % 12.09/2.46 | | | | | | | | | | | | | | % 12.09/2.46 | | | | | | | | | | | | | End of split % 12.09/2.46 | | | | | | | | | | | | | % 12.09/2.46 | | | | | | | | | | | | End of split % 12.09/2.46 | | | | | | | | | | | | % 12.09/2.46 | | | | | | | | | | | End of split % 12.09/2.46 | | | | | | | | | | | % 12.09/2.46 | | | | | | | | | | End of split % 12.09/2.46 | | | | | | | | | | % 12.09/2.46 | | | | | | | | | Case 2: % 12.09/2.46 | | | | | | | | | | % 12.09/2.46 | | | | | | | | | | (214) ( ~ (all_4_11 = e0) & ~ (all_4_14 = e0) & ~ % 12.09/2.46 | | | | | | | | | | (all_4_17 = e0) & ~ (all_4_20 = e0)) | ( ~ % 12.09/2.46 | | | | | | | | | | (all_4_11 = e1) & ~ (all_4_12 = e1) & ~ % 12.09/2.46 | | | | | | | | | | (all_4_13 = e1) & ~ (all_4_21 = e1)) | ( ~ % 12.09/2.46 | | | | | | | | | | (all_4_11 = e1) & ~ (all_4_14 = e1) & ~ % 12.09/2.46 | | | | | | | | | | (all_4_17 = e1) & ~ (all_4_20 = e1)) | ( ~ % 12.09/2.46 | | | | | | | | | | (all_4_12 = e3) & ~ (all_4_12 = e2) & ~ % 12.09/2.46 | | | | | | | | | | (all_4_12 = e0) & ~ (all_4_12 = e1)) | ( ~ % 12.09/2.46 | | | | | | | | | | (all_4_13 = e3) & ~ (all_4_13 = e2) & ~ % 12.09/2.46 | | | | | | | | | | (all_4_13 = e0) & ~ (all_4_13 = e1)) | ( ~ % 12.09/2.46 | | | | | | | | | | (all_4_14 = e3) & ~ (all_4_14 = e2) & ~ % 12.09/2.46 | | | | | | | | | | (all_4_14 = e0) & ~ (all_4_14 = e1)) | ( ~ % 12.09/2.46 | | | | | | | | | | (all_4_14 = e3) & ~ (all_4_15 = e3) & ~ % 12.09/2.46 | | | | | | | | | | (all_4_16 = e3) & ~ (all_4_22 = e3)) | ( ~ % 12.09/2.46 | | | | | | | | | | (all_4_14 = e2) & ~ (all_4_15 = e2) & ~ % 12.09/2.46 | | | | | | | | | | (all_4_16 = e2) & ~ (all_4_22 = e2)) | ( ~ % 12.09/2.46 | | | | | | | | | | (all_4_14 = e0) & ~ (all_4_15 = e0) & ~ % 12.09/2.46 | | | | | | | | | | (all_4_16 = e0) & ~ (all_4_22 = e0)) | ( ~ % 12.09/2.46 | | | | | | | | | | (all_4_14 = e1) & ~ (all_4_15 = e1) & ~ % 12.09/2.46 | | | | | | | | | | (all_4_16 = e1) & ~ (all_4_22 = e1)) | ( ~ % 12.09/2.46 | | | | | | | | | | (all_4_15 = e3) & ~ (all_4_15 = e2) & ~ % 12.09/2.46 | | | | | | | | | | (all_4_15 = e0) & ~ (all_4_15 = e1)) | ( ~ % 12.09/2.46 | | | | | | | | | | (all_4_16 = e3) & ~ (all_4_16 = e2) & ~ % 12.09/2.46 | | | | | | | | | | (all_4_16 = e0) & ~ (all_4_16 = e1)) | ( ~ % 12.09/2.46 | | | | | | | | | | (all_4_17 = e3) & ~ (all_4_17 = e2) & ~ % 12.09/2.46 | | | | | | | | | | (all_4_17 = e0) & ~ (all_4_17 = e1)) | ( ~ % 12.09/2.46 | | | | | | | | | | (all_4_17 = e3) & ~ (all_4_18 = e3) & ~ % 12.09/2.46 | | | | | | | | | | (all_4_19 = e3) & ~ (all_4_23 = e3)) | ( ~ % 12.09/2.46 | | | | | | | | | | (all_4_17 = e2) & ~ (all_4_18 = e2) & ~ % 12.09/2.46 | | | | | | | | | | (all_4_19 = e2) & ~ (all_4_23 = e2)) | ( ~ % 12.09/2.46 | | | | | | | | | | (all_4_17 = e0) & ~ (all_4_18 = e0) & ~ % 12.09/2.46 | | | | | | | | | | (all_4_19 = e0) & ~ (all_4_23 = e0)) | ( ~ % 12.09/2.46 | | | | | | | | | | (all_4_17 = e1) & ~ (all_4_18 = e1) & ~ % 12.09/2.46 | | | | | | | | | | (all_4_19 = e1) & ~ (all_4_23 = e1)) | ( ~ % 12.09/2.46 | | | | | | | | | | (all_4_18 = e3) & ~ (all_4_18 = e2) & ~ % 12.09/2.46 | | | | | | | | | | (all_4_18 = e0) & ~ (all_4_18 = e1)) | ( ~ % 12.09/2.46 | | | | | | | | | | (all_4_19 = e3) & ~ (all_4_19 = e2) & ~ % 12.09/2.46 | | | | | | | | | | (all_4_19 = e0) & ~ (all_4_19 = e1)) | ( ~ % 12.09/2.46 | | | | | | | | | | (all_4_20 = e3) & ~ (all_4_20 = e2) & ~ % 12.09/2.46 | | | | | | | | | | (all_4_20 = e0) & ~ (all_4_20 = e1)) | ( ~ % 12.09/2.46 | | | | | | | | | | (all_4_21 = e3) & ~ (all_4_21 = e2) & ~ % 12.09/2.46 | | | | | | | | | | (all_4_21 = e0) & ~ (all_4_21 = e1)) | ( ~ % 12.09/2.46 | | | | | | | | | | (all_4_22 = e3) & ~ (all_4_22 = e2) & ~ % 12.09/2.46 | | | | | | | | | | (all_4_22 = e0) & ~ (all_4_22 = e1)) | ( ~ % 12.09/2.46 | | | | | | | | | | (all_4_23 = e3) & ~ (all_4_23 = e2) & ~ % 12.09/2.46 | | | | | | | | | | (all_4_23 = e0) & ~ (all_4_23 = e1)) | ( ~ (unit % 12.09/2.46 | | | | | | | | | | = e3) & ~ (unit = e2) & ~ (unit = e0) & ~ % 12.09/2.46 | | | | | | | | | | (unit = e1)) | (( ~ (all_4_20 = e3) | ~ % 12.09/2.46 | | | | | | | | | | (all_4_21 = e3) | ~ (all_4_22 = e3) | ~ % 12.09/2.46 | | | | | | | | | | (all_4_23 = e3)) & ( ~ (all_4_20 = e2) | ~ % 12.09/2.46 | | | | | | | | | | (all_4_21 = e2) | ~ (all_4_22 = e2) | ~ % 12.09/2.46 | | | | | | | | | | (all_4_23 = e2)) & ( ~ (all_4_20 = e0) | ~ % 12.09/2.46 | | | | | | | | | | (all_4_21 = e0) | ~ (all_4_22 = e0) | ~ % 12.09/2.46 | | | | | | | | | | (all_4_23 = e0)) & ( ~ (all_4_20 = e1) | ~ % 12.09/2.46 | | | | | | | | | | (all_4_21 = e1) | ~ (all_4_22 = e1) | ~ % 12.09/2.46 | | | | | | | | | | (all_4_23 = e1))) % 12.09/2.46 | | | | | | | | | | % 12.09/2.46 | | | | | | | | | | BETA: splitting (214) gives: % 12.09/2.46 | | | | | | | | | | % 12.09/2.46 | | | | | | | | | | Case 1: % 12.09/2.46 | | | | | | | | | | | % 12.09/2.46 | | | | | | | | | | | (215) ( ~ (all_4_11 = e0) & ~ (all_4_14 = e0) & ~ % 12.09/2.46 | | | | | | | | | | | (all_4_17 = e0) & ~ (all_4_20 = e0)) | ( ~ % 12.09/2.46 | | | | | | | | | | | (all_4_11 = e1) & ~ (all_4_12 = e1) & ~ % 12.09/2.46 | | | | | | | | | | | (all_4_13 = e1) & ~ (all_4_21 = e1)) | ( ~ % 12.09/2.46 | | | | | | | | | | | (all_4_11 = e1) & ~ (all_4_14 = e1) & ~ % 12.09/2.46 | | | | | | | | | | | (all_4_17 = e1) & ~ (all_4_20 = e1)) | ( ~ % 12.09/2.46 | | | | | | | | | | | (all_4_12 = e3) & ~ (all_4_12 = e2) & ~ % 12.09/2.46 | | | | | | | | | | | (all_4_12 = e0) & ~ (all_4_12 = e1)) | ( ~ % 12.09/2.46 | | | | | | | | | | | (all_4_13 = e3) & ~ (all_4_13 = e2) & ~ % 12.09/2.46 | | | | | | | | | | | (all_4_13 = e0) & ~ (all_4_13 = e1)) | ( ~ % 12.09/2.46 | | | | | | | | | | | (all_4_14 = e3) & ~ (all_4_14 = e2) & ~ % 12.09/2.46 | | | | | | | | | | | (all_4_14 = e0) & ~ (all_4_14 = e1)) | ( ~ % 12.09/2.46 | | | | | | | | | | | (all_4_14 = e3) & ~ (all_4_15 = e3) & ~ % 12.09/2.46 | | | | | | | | | | | (all_4_16 = e3) & ~ (all_4_22 = e3)) | ( ~ % 12.09/2.46 | | | | | | | | | | | (all_4_14 = e2) & ~ (all_4_15 = e2) & ~ % 12.09/2.46 | | | | | | | | | | | (all_4_16 = e2) & ~ (all_4_22 = e2)) | ( ~ % 12.09/2.46 | | | | | | | | | | | (all_4_14 = e0) & ~ (all_4_15 = e0) & ~ % 12.09/2.46 | | | | | | | | | | | (all_4_16 = e0) & ~ (all_4_22 = e0)) | ( ~ % 12.09/2.46 | | | | | | | | | | | (all_4_14 = e1) & ~ (all_4_15 = e1) & ~ % 12.09/2.46 | | | | | | | | | | | (all_4_16 = e1) & ~ (all_4_22 = e1)) | ( ~ % 12.09/2.46 | | | | | | | | | | | (all_4_15 = e3) & ~ (all_4_15 = e2) & ~ % 12.09/2.46 | | | | | | | | | | | (all_4_15 = e0) & ~ (all_4_15 = e1)) | ( ~ % 12.09/2.46 | | | | | | | | | | | (all_4_16 = e3) & ~ (all_4_16 = e2) & ~ % 12.09/2.46 | | | | | | | | | | | (all_4_16 = e0) & ~ (all_4_16 = e1)) % 12.09/2.46 | | | | | | | | | | | % 12.09/2.46 | | | | | | | | | | | BETA: splitting (215) gives: % 12.09/2.46 | | | | | | | | | | | % 12.09/2.46 | | | | | | | | | | | Case 1: % 12.09/2.46 | | | | | | | | | | | | % 12.09/2.46 | | | | | | | | | | | | (216) ( ~ (all_4_11 = e0) & ~ (all_4_14 = e0) & ~ % 12.09/2.46 | | | | | | | | | | | | (all_4_17 = e0) & ~ (all_4_20 = e0)) | ( ~ % 12.09/2.46 | | | | | | | | | | | | (all_4_11 = e1) & ~ (all_4_12 = e1) & ~ % 12.09/2.46 | | | | | | | | | | | | (all_4_13 = e1) & ~ (all_4_21 = e1)) | ( ~ % 12.09/2.46 | | | | | | | | | | | | (all_4_11 = e1) & ~ (all_4_14 = e1) & ~ % 12.09/2.46 | | | | | | | | | | | | (all_4_17 = e1) & ~ (all_4_20 = e1)) | ( ~ % 12.09/2.46 | | | | | | | | | | | | (all_4_12 = e3) & ~ (all_4_12 = e2) & ~ % 12.09/2.46 | | | | | | | | | | | | (all_4_12 = e0) & ~ (all_4_12 = e1)) | ( ~ % 12.09/2.46 | | | | | | | | | | | | (all_4_13 = e3) & ~ (all_4_13 = e2) & ~ % 12.09/2.46 | | | | | | | | | | | | (all_4_13 = e0) & ~ (all_4_13 = e1)) | ( ~ % 12.09/2.46 | | | | | | | | | | | | (all_4_14 = e3) & ~ (all_4_14 = e2) & ~ % 12.09/2.46 | | | | | | | | | | | | (all_4_14 = e0) & ~ (all_4_14 = e1)) % 12.09/2.46 | | | | | | | | | | | | % 12.09/2.46 | | | | | | | | | | | | BETA: splitting (216) gives: % 12.09/2.46 | | | | | | | | | | | | % 12.09/2.46 | | | | | | | | | | | | Case 1: % 12.09/2.46 | | | | | | | | | | | | | % 12.09/2.46 | | | | | | | | | | | | | (217) ( ~ (all_4_11 = e0) & ~ (all_4_14 = e0) & ~ % 12.09/2.46 | | | | | | | | | | | | | (all_4_17 = e0) & ~ (all_4_20 = e0)) | ( ~ % 12.09/2.46 | | | | | | | | | | | | | (all_4_11 = e1) & ~ (all_4_12 = e1) & ~ % 12.09/2.46 | | | | | | | | | | | | | (all_4_13 = e1) & ~ (all_4_21 = e1)) | ( ~ % 12.09/2.46 | | | | | | | | | | | | | (all_4_11 = e1) & ~ (all_4_14 = e1) & ~ % 12.09/2.46 | | | | | | | | | | | | | (all_4_17 = e1) & ~ (all_4_20 = e1)) % 12.09/2.46 | | | | | | | | | | | | | % 12.09/2.46 | | | | | | | | | | | | | BETA: splitting (217) gives: % 12.09/2.46 | | | | | | | | | | | | | % 12.09/2.46 | | | | | | | | | | | | | Case 1: % 12.09/2.46 | | | | | | | | | | | | | | % 12.09/2.46 | | | | | | | | | | | | | | (218) ~ (all_4_11 = e0) & ~ (all_4_14 = e0) & ~ % 12.09/2.46 | | | | | | | | | | | | | | (all_4_17 = e0) & ~ (all_4_20 = e0) % 12.09/2.46 | | | | | | | | | | | | | | % 12.09/2.46 | | | | | | | | | | | | | | ALPHA: (218) implies: % 12.09/2.46 | | | | | | | | | | | | | | (219) ~ (all_4_20 = e0) % 12.09/2.46 | | | | | | | | | | | | | | % 12.09/2.46 | | | | | | | | | | | | | | REDUCE: (76), (219) imply: % 12.09/2.46 | | | | | | | | | | | | | | (220) $false % 12.09/2.46 | | | | | | | | | | | | | | % 12.09/2.46 | | | | | | | | | | | | | | CLOSE: (220) is inconsistent. % 12.09/2.46 | | | | | | | | | | | | | | % 12.09/2.46 | | | | | | | | | | | | | Case 2: % 12.09/2.46 | | | | | | | | | | | | | | % 12.09/2.46 | | | | | | | | | | | | | | (221) ( ~ (all_4_11 = e1) & ~ (all_4_12 = e1) & ~ % 12.09/2.46 | | | | | | | | | | | | | | (all_4_13 = e1) & ~ (all_4_21 = e1)) | ( ~ % 12.09/2.46 | | | | | | | | | | | | | | (all_4_11 = e1) & ~ (all_4_14 = e1) & ~ % 12.09/2.46 | | | | | | | | | | | | | | (all_4_17 = e1) & ~ (all_4_20 = e1)) % 12.09/2.46 | | | | | | | | | | | | | | % 12.09/2.46 | | | | | | | | | | | | | | BETA: splitting (221) gives: % 12.09/2.46 | | | | | | | | | | | | | | % 12.09/2.46 | | | | | | | | | | | | | | Case 1: % 12.09/2.46 | | | | | | | | | | | | | | | % 12.09/2.46 | | | | | | | | | | | | | | | (222) ~ (all_4_11 = e1) & ~ (all_4_12 = e1) & ~ % 12.09/2.46 | | | | | | | | | | | | | | | (all_4_13 = e1) & ~ (all_4_21 = e1) % 12.09/2.46 | | | | | | | | | | | | | | | % 12.09/2.46 | | | | | | | | | | | | | | | ALPHA: (222) implies: % 12.09/2.46 | | | | | | | | | | | | | | | (223) ~ (all_4_11 = e1) % 12.09/2.46 | | | | | | | | | | | | | | | % 12.09/2.46 | | | | | | | | | | | | | | | REDUCE: (71), (223) imply: % 12.09/2.46 | | | | | | | | | | | | | | | (224) $false % 12.09/2.46 | | | | | | | | | | | | | | | % 12.09/2.46 | | | | | | | | | | | | | | | CLOSE: (224) is inconsistent. % 12.09/2.46 | | | | | | | | | | | | | | | % 12.09/2.46 | | | | | | | | | | | | | | Case 2: % 12.09/2.46 | | | | | | | | | | | | | | | % 12.09/2.46 | | | | | | | | | | | | | | | (225) ~ (all_4_11 = e1) & ~ (all_4_14 = e1) & ~ % 12.09/2.46 | | | | | | | | | | | | | | | (all_4_17 = e1) & ~ (all_4_20 = e1) % 12.09/2.46 | | | | | | | | | | | | | | | % 12.09/2.46 | | | | | | | | | | | | | | | ALPHA: (225) implies: % 12.09/2.46 | | | | | | | | | | | | | | | (226) ~ (all_4_11 = e1) % 12.09/2.46 | | | | | | | | | | | | | | | % 12.09/2.46 | | | | | | | | | | | | | | | REDUCE: (71), (226) imply: % 12.09/2.46 | | | | | | | | | | | | | | | (227) $false % 12.09/2.46 | | | | | | | | | | | | | | | % 12.09/2.46 | | | | | | | | | | | | | | | CLOSE: (227) is inconsistent. % 12.09/2.46 | | | | | | | | | | | | | | | % 12.09/2.46 | | | | | | | | | | | | | | End of split % 12.09/2.46 | | | | | | | | | | | | | | % 12.09/2.46 | | | | | | | | | | | | | End of split % 12.09/2.46 | | | | | | | | | | | | | % 12.09/2.46 | | | | | | | | | | | | Case 2: % 12.09/2.46 | | | | | | | | | | | | | % 12.09/2.46 | | | | | | | | | | | | | (228) ( ~ (all_4_12 = e3) & ~ (all_4_12 = e2) & ~ % 12.09/2.46 | | | | | | | | | | | | | (all_4_12 = e0) & ~ (all_4_12 = e1)) | ( ~ % 12.09/2.46 | | | | | | | | | | | | | (all_4_13 = e3) & ~ (all_4_13 = e2) & ~ % 12.09/2.46 | | | | | | | | | | | | | (all_4_13 = e0) & ~ (all_4_13 = e1)) | ( ~ % 12.09/2.46 | | | | | | | | | | | | | (all_4_14 = e3) & ~ (all_4_14 = e2) & ~ % 12.09/2.46 | | | | | | | | | | | | | (all_4_14 = e0) & ~ (all_4_14 = e1)) % 12.09/2.46 | | | | | | | | | | | | | % 12.09/2.46 | | | | | | | | | | | | | BETA: splitting (228) gives: % 12.09/2.46 | | | | | | | | | | | | | % 12.09/2.46 | | | | | | | | | | | | | Case 1: % 12.09/2.46 | | | | | | | | | | | | | | % 12.09/2.47 | | | | | | | | | | | | | | (229) ~ (all_4_12 = e3) & ~ (all_4_12 = e2) & ~ % 12.09/2.47 | | | | | | | | | | | | | | (all_4_12 = e0) & ~ (all_4_12 = e1) % 12.09/2.47 | | | | | | | | | | | | | | % 12.09/2.47 | | | | | | | | | | | | | | ALPHA: (229) implies: % 12.09/2.47 | | | | | | | | | | | | | | (230) ~ (all_4_12 = e3) % 12.09/2.47 | | | | | | | | | | | | | | % 12.09/2.47 | | | | | | | | | | | | | | REDUCE: (67), (230) imply: % 12.09/2.47 | | | | | | | | | | | | | | (231) $false % 12.09/2.47 | | | | | | | | | | | | | | % 12.09/2.47 | | | | | | | | | | | | | | CLOSE: (231) is inconsistent. % 12.09/2.47 | | | | | | | | | | | | | | % 12.09/2.47 | | | | | | | | | | | | | Case 2: % 12.09/2.47 | | | | | | | | | | | | | | % 12.09/2.47 | | | | | | | | | | | | | | (232) ( ~ (all_4_13 = e3) & ~ (all_4_13 = e2) & ~ % 12.09/2.47 | | | | | | | | | | | | | | (all_4_13 = e0) & ~ (all_4_13 = e1)) | ( ~ % 12.09/2.47 | | | | | | | | | | | | | | (all_4_14 = e3) & ~ (all_4_14 = e2) & ~ % 12.09/2.47 | | | | | | | | | | | | | | (all_4_14 = e0) & ~ (all_4_14 = e1)) % 12.09/2.47 | | | | | | | | | | | | | | % 12.09/2.47 | | | | | | | | | | | | | | BETA: splitting (232) gives: % 12.09/2.47 | | | | | | | | | | | | | | % 12.09/2.47 | | | | | | | | | | | | | | Case 1: % 12.09/2.47 | | | | | | | | | | | | | | | % 12.09/2.47 | | | | | | | | | | | | | | | (233) ~ (all_4_13 = e3) & ~ (all_4_13 = e2) & ~ % 12.09/2.47 | | | | | | | | | | | | | | | (all_4_13 = e0) & ~ (all_4_13 = e1) % 12.09/2.47 | | | | | | | | | | | | | | | % 12.09/2.47 | | | | | | | | | | | | | | | ALPHA: (233) implies: % 12.09/2.47 | | | | | | | | | | | | | | | (234) ~ (all_4_13 = e2) % 12.09/2.47 | | | | | | | | | | | | | | | % 12.09/2.47 | | | | | | | | | | | | | | | REDUCE: (81), (234) imply: % 12.09/2.47 | | | | | | | | | | | | | | | (235) $false % 12.09/2.47 | | | | | | | | | | | | | | | % 12.09/2.47 | | | | | | | | | | | | | | | CLOSE: (235) is inconsistent. % 12.09/2.47 | | | | | | | | | | | | | | | % 12.09/2.47 | | | | | | | | | | | | | | Case 2: % 12.09/2.47 | | | | | | | | | | | | | | | % 12.09/2.47 | | | | | | | | | | | | | | | (236) ~ (all_4_14 = e3) & ~ (all_4_14 = e2) & ~ % 12.09/2.47 | | | | | | | | | | | | | | | (all_4_14 = e0) & ~ (all_4_14 = e1) % 12.09/2.47 | | | | | | | | | | | | | | | % 12.09/2.47 | | | | | | | | | | | | | | | ALPHA: (236) implies: % 12.09/2.47 | | | | | | | | | | | | | | | (237) ~ (all_4_14 = e2) % 12.09/2.47 | | | | | | | | | | | | | | | % 12.09/2.47 | | | | | | | | | | | | | | | REDUCE: (57), (237) imply: % 12.09/2.47 | | | | | | | | | | | | | | | (238) $false % 12.09/2.47 | | | | | | | | | | | | | | | % 12.09/2.47 | | | | | | | | | | | | | | | CLOSE: (238) is inconsistent. % 12.09/2.47 | | | | | | | | | | | | | | | % 12.09/2.47 | | | | | | | | | | | | | | End of split % 12.09/2.47 | | | | | | | | | | | | | | % 12.09/2.47 | | | | | | | | | | | | | End of split % 12.09/2.47 | | | | | | | | | | | | | % 12.09/2.47 | | | | | | | | | | | | End of split % 12.09/2.47 | | | | | | | | | | | | % 12.09/2.47 | | | | | | | | | | | Case 2: % 12.09/2.47 | | | | | | | | | | | | % 12.09/2.47 | | | | | | | | | | | | (239) ( ~ (all_4_14 = e3) & ~ (all_4_15 = e3) & ~ % 12.09/2.47 | | | | | | | | | | | | (all_4_16 = e3) & ~ (all_4_22 = e3)) | ( ~ % 12.09/2.47 | | | | | | | | | | | | (all_4_14 = e2) & ~ (all_4_15 = e2) & ~ % 12.09/2.47 | | | | | | | | | | | | (all_4_16 = e2) & ~ (all_4_22 = e2)) | ( ~ % 12.09/2.47 | | | | | | | | | | | | (all_4_14 = e0) & ~ (all_4_15 = e0) & ~ % 12.09/2.47 | | | | | | | | | | | | (all_4_16 = e0) & ~ (all_4_22 = e0)) | ( ~ % 12.09/2.47 | | | | | | | | | | | | (all_4_14 = e1) & ~ (all_4_15 = e1) & ~ % 12.09/2.47 | | | | | | | | | | | | (all_4_16 = e1) & ~ (all_4_22 = e1)) | ( ~ % 12.09/2.47 | | | | | | | | | | | | (all_4_15 = e3) & ~ (all_4_15 = e2) & ~ % 12.09/2.47 | | | | | | | | | | | | (all_4_15 = e0) & ~ (all_4_15 = e1)) | ( ~ % 12.09/2.47 | | | | | | | | | | | | (all_4_16 = e3) & ~ (all_4_16 = e2) & ~ % 12.09/2.47 | | | | | | | | | | | | (all_4_16 = e0) & ~ (all_4_16 = e1)) % 12.09/2.47 | | | | | | | | | | | | % 12.09/2.47 | | | | | | | | | | | | BETA: splitting (239) gives: % 12.09/2.47 | | | | | | | | | | | | % 12.09/2.47 | | | | | | | | | | | | Case 1: % 12.09/2.47 | | | | | | | | | | | | | % 12.09/2.47 | | | | | | | | | | | | | (240) ( ~ (all_4_14 = e3) & ~ (all_4_15 = e3) & ~ % 12.09/2.47 | | | | | | | | | | | | | (all_4_16 = e3) & ~ (all_4_22 = e3)) | ( ~ % 12.09/2.47 | | | | | | | | | | | | | (all_4_14 = e2) & ~ (all_4_15 = e2) & ~ % 12.09/2.47 | | | | | | | | | | | | | (all_4_16 = e2) & ~ (all_4_22 = e2)) | ( ~ % 12.09/2.47 | | | | | | | | | | | | | (all_4_14 = e0) & ~ (all_4_15 = e0) & ~ % 12.09/2.47 | | | | | | | | | | | | | (all_4_16 = e0) & ~ (all_4_22 = e0)) % 12.09/2.47 | | | | | | | | | | | | | % 12.09/2.47 | | | | | | | | | | | | | BETA: splitting (240) gives: % 12.09/2.47 | | | | | | | | | | | | | % 12.09/2.47 | | | | | | | | | | | | | Case 1: % 12.09/2.47 | | | | | | | | | | | | | | % 12.09/2.47 | | | | | | | | | | | | | | (241) ~ (all_4_14 = e3) & ~ (all_4_15 = e3) & ~ % 12.09/2.47 | | | | | | | | | | | | | | (all_4_16 = e3) & ~ (all_4_22 = e3) % 12.09/2.47 | | | | | | | | | | | | | | % 12.09/2.47 | | | | | | | | | | | | | | ALPHA: (241) implies: % 12.09/2.47 | | | | | | | | | | | | | | (242) ~ (all_4_15 = e3) % 12.09/2.47 | | | | | | | | | | | | | | % 12.09/2.47 | | | | | | | | | | | | | | REDUCE: (56), (242) imply: % 12.09/2.47 | | | | | | | | | | | | | | (243) $false % 12.09/2.47 | | | | | | | | | | | | | | % 12.09/2.47 | | | | | | | | | | | | | | CLOSE: (243) is inconsistent. % 12.09/2.47 | | | | | | | | | | | | | | % 12.09/2.47 | | | | | | | | | | | | | Case 2: % 12.09/2.47 | | | | | | | | | | | | | | % 12.09/2.47 | | | | | | | | | | | | | | (244) ( ~ (all_4_14 = e2) & ~ (all_4_15 = e2) & ~ % 12.09/2.47 | | | | | | | | | | | | | | (all_4_16 = e2) & ~ (all_4_22 = e2)) | ( ~ % 12.09/2.47 | | | | | | | | | | | | | | (all_4_14 = e0) & ~ (all_4_15 = e0) & ~ % 12.09/2.47 | | | | | | | | | | | | | | (all_4_16 = e0) & ~ (all_4_22 = e0)) % 12.09/2.47 | | | | | | | | | | | | | | % 12.09/2.47 | | | | | | | | | | | | | | BETA: splitting (244) gives: % 12.09/2.47 | | | | | | | | | | | | | | % 12.09/2.47 | | | | | | | | | | | | | | Case 1: % 12.09/2.47 | | | | | | | | | | | | | | | % 12.09/2.47 | | | | | | | | | | | | | | | (245) ~ (all_4_14 = e2) & ~ (all_4_15 = e2) & ~ % 12.09/2.47 | | | | | | | | | | | | | | | (all_4_16 = e2) & ~ (all_4_22 = e2) % 12.09/2.47 | | | | | | | | | | | | | | | % 12.09/2.47 | | | | | | | | | | | | | | | ALPHA: (245) implies: % 12.09/2.47 | | | | | | | | | | | | | | | (246) ~ (all_4_14 = e2) % 12.09/2.47 | | | | | | | | | | | | | | | % 12.09/2.47 | | | | | | | | | | | | | | | REDUCE: (57), (246) imply: % 12.09/2.47 | | | | | | | | | | | | | | | (247) $false % 12.09/2.47 | | | | | | | | | | | | | | | % 12.09/2.47 | | | | | | | | | | | | | | | CLOSE: (247) is inconsistent. % 12.09/2.47 | | | | | | | | | | | | | | | % 12.09/2.47 | | | | | | | | | | | | | | Case 2: % 12.09/2.47 | | | | | | | | | | | | | | | % 12.09/2.47 | | | | | | | | | | | | | | | (248) ~ (all_4_14 = e0) & ~ (all_4_15 = e0) & ~ % 12.09/2.47 | | | | | | | | | | | | | | | (all_4_16 = e0) & ~ (all_4_22 = e0) % 12.09/2.47 | | | | | | | | | | | | | | | % 12.09/2.47 | | | | | | | | | | | | | | | ALPHA: (248) implies: % 12.09/2.47 | | | | | | | | | | | | | | | (249) ~ (all_4_22 = e0) % 12.09/2.47 | | | | | | | | | | | | | | | % 12.09/2.47 | | | | | | | | | | | | | | | REDUCE: (53), (249) imply: % 12.09/2.47 | | | | | | | | | | | | | | | (250) $false % 12.09/2.47 | | | | | | | | | | | | | | | % 12.09/2.47 | | | | | | | | | | | | | | | CLOSE: (250) is inconsistent. % 12.09/2.47 | | | | | | | | | | | | | | | % 12.09/2.47 | | | | | | | | | | | | | | End of split % 12.09/2.47 | | | | | | | | | | | | | | % 12.09/2.47 | | | | | | | | | | | | | End of split % 12.09/2.47 | | | | | | | | | | | | | % 12.09/2.47 | | | | | | | | | | | | Case 2: % 12.09/2.47 | | | | | | | | | | | | | % 12.09/2.47 | | | | | | | | | | | | | (251) ( ~ (all_4_14 = e1) & ~ (all_4_15 = e1) & ~ % 12.09/2.47 | | | | | | | | | | | | | (all_4_16 = e1) & ~ (all_4_22 = e1)) | ( ~ % 12.09/2.47 | | | | | | | | | | | | | (all_4_15 = e3) & ~ (all_4_15 = e2) & ~ % 12.09/2.47 | | | | | | | | | | | | | (all_4_15 = e0) & ~ (all_4_15 = e1)) | ( ~ % 12.09/2.47 | | | | | | | | | | | | | (all_4_16 = e3) & ~ (all_4_16 = e2) & ~ % 12.09/2.47 | | | | | | | | | | | | | (all_4_16 = e0) & ~ (all_4_16 = e1)) % 12.09/2.47 | | | | | | | | | | | | | % 12.09/2.47 | | | | | | | | | | | | | BETA: splitting (251) gives: % 12.09/2.47 | | | | | | | | | | | | | % 12.09/2.47 | | | | | | | | | | | | | Case 1: % 12.09/2.47 | | | | | | | | | | | | | | % 12.09/2.47 | | | | | | | | | | | | | | (252) ~ (all_4_14 = e1) & ~ (all_4_15 = e1) & ~ % 12.09/2.47 | | | | | | | | | | | | | | (all_4_16 = e1) & ~ (all_4_22 = e1) % 12.09/2.47 | | | | | | | | | | | | | | % 12.09/2.47 | | | | | | | | | | | | | | ALPHA: (252) implies: % 12.09/2.47 | | | | | | | | | | | | | | (253) ~ (all_4_16 = e1) % 12.09/2.47 | | | | | | | | | | | | | | % 12.09/2.47 | | | | | | | | | | | | | | REDUCE: (85), (253) imply: % 12.09/2.47 | | | | | | | | | | | | | | (254) $false % 12.09/2.47 | | | | | | | | | | | | | | % 12.09/2.47 | | | | | | | | | | | | | | CLOSE: (254) is inconsistent. % 12.09/2.47 | | | | | | | | | | | | | | % 12.09/2.47 | | | | | | | | | | | | | Case 2: % 12.09/2.47 | | | | | | | | | | | | | | % 12.09/2.47 | | | | | | | | | | | | | | (255) ( ~ (all_4_15 = e3) & ~ (all_4_15 = e2) & ~ % 12.09/2.47 | | | | | | | | | | | | | | (all_4_15 = e0) & ~ (all_4_15 = e1)) | ( ~ % 12.09/2.47 | | | | | | | | | | | | | | (all_4_16 = e3) & ~ (all_4_16 = e2) & ~ % 12.09/2.47 | | | | | | | | | | | | | | (all_4_16 = e0) & ~ (all_4_16 = e1)) % 12.09/2.47 | | | | | | | | | | | | | | % 12.09/2.47 | | | | | | | | | | | | | | BETA: splitting (255) gives: % 12.09/2.47 | | | | | | | | | | | | | | % 12.09/2.47 | | | | | | | | | | | | | | Case 1: % 12.09/2.47 | | | | | | | | | | | | | | | % 12.09/2.47 | | | | | | | | | | | | | | | (256) ~ (all_4_15 = e3) & ~ (all_4_15 = e2) & ~ % 12.09/2.47 | | | | | | | | | | | | | | | (all_4_15 = e0) & ~ (all_4_15 = e1) % 12.09/2.47 | | | | | | | | | | | | | | | % 12.09/2.47 | | | | | | | | | | | | | | | ALPHA: (256) implies: % 12.09/2.47 | | | | | | | | | | | | | | | (257) ~ (all_4_15 = e3) % 12.09/2.47 | | | | | | | | | | | | | | | % 12.09/2.47 | | | | | | | | | | | | | | | REDUCE: (56), (257) imply: % 12.09/2.47 | | | | | | | | | | | | | | | (258) $false % 12.09/2.47 | | | | | | | | | | | | | | | % 12.09/2.47 | | | | | | | | | | | | | | | CLOSE: (258) is inconsistent. % 12.09/2.47 | | | | | | | | | | | | | | | % 12.09/2.47 | | | | | | | | | | | | | | Case 2: % 12.09/2.47 | | | | | | | | | | | | | | | % 12.09/2.47 | | | | | | | | | | | | | | | (259) ~ (all_4_16 = e3) & ~ (all_4_16 = e2) & ~ % 12.09/2.47 | | | | | | | | | | | | | | | (all_4_16 = e0) & ~ (all_4_16 = e1) % 12.09/2.47 | | | | | | | | | | | | | | | % 12.09/2.47 | | | | | | | | | | | | | | | ALPHA: (259) implies: % 12.09/2.47 | | | | | | | | | | | | | | | (260) ~ (all_4_16 = e1) % 12.09/2.47 | | | | | | | | | | | | | | | % 12.09/2.47 | | | | | | | | | | | | | | | REDUCE: (85), (260) imply: % 12.09/2.47 | | | | | | | | | | | | | | | (261) $false % 12.09/2.47 | | | | | | | | | | | | | | | % 12.09/2.47 | | | | | | | | | | | | | | | CLOSE: (261) is inconsistent. % 12.09/2.47 | | | | | | | | | | | | | | | % 12.09/2.47 | | | | | | | | | | | | | | End of split % 12.09/2.47 | | | | | | | | | | | | | | % 12.09/2.47 | | | | | | | | | | | | | End of split % 12.09/2.47 | | | | | | | | | | | | | % 12.09/2.47 | | | | | | | | | | | | End of split % 12.09/2.47 | | | | | | | | | | | | % 12.09/2.47 | | | | | | | | | | | End of split % 12.09/2.47 | | | | | | | | | | | % 12.09/2.47 | | | | | | | | | | Case 2: % 12.09/2.47 | | | | | | | | | | | % 12.09/2.48 | | | | | | | | | | | (262) ( ~ (all_4_17 = e3) & ~ (all_4_17 = e2) & ~ % 12.09/2.48 | | | | | | | | | | | (all_4_17 = e0) & ~ (all_4_17 = e1)) | ( ~ % 12.09/2.48 | | | | | | | | | | | (all_4_17 = e3) & ~ (all_4_18 = e3) & ~ % 12.09/2.48 | | | | | | | | | | | (all_4_19 = e3) & ~ (all_4_23 = e3)) | ( ~ % 12.09/2.48 | | | | | | | | | | | (all_4_17 = e2) & ~ (all_4_18 = e2) & ~ % 12.09/2.48 | | | | | | | | | | | (all_4_19 = e2) & ~ (all_4_23 = e2)) | ( ~ % 12.09/2.48 | | | | | | | | | | | (all_4_17 = e0) & ~ (all_4_18 = e0) & ~ % 12.09/2.48 | | | | | | | | | | | (all_4_19 = e0) & ~ (all_4_23 = e0)) | ( ~ % 12.09/2.48 | | | | | | | | | | | (all_4_17 = e1) & ~ (all_4_18 = e1) & ~ % 12.09/2.48 | | | | | | | | | | | (all_4_19 = e1) & ~ (all_4_23 = e1)) | ( ~ % 12.09/2.48 | | | | | | | | | | | (all_4_18 = e3) & ~ (all_4_18 = e2) & ~ % 12.09/2.48 | | | | | | | | | | | (all_4_18 = e0) & ~ (all_4_18 = e1)) | ( ~ % 12.09/2.48 | | | | | | | | | | | (all_4_19 = e3) & ~ (all_4_19 = e2) & ~ % 12.09/2.48 | | | | | | | | | | | (all_4_19 = e0) & ~ (all_4_19 = e1)) | ( ~ % 12.09/2.48 | | | | | | | | | | | (all_4_20 = e3) & ~ (all_4_20 = e2) & ~ % 12.09/2.48 | | | | | | | | | | | (all_4_20 = e0) & ~ (all_4_20 = e1)) | ( ~ % 12.09/2.48 | | | | | | | | | | | (all_4_21 = e3) & ~ (all_4_21 = e2) & ~ % 12.09/2.48 | | | | | | | | | | | (all_4_21 = e0) & ~ (all_4_21 = e1)) | ( ~ % 12.09/2.48 | | | | | | | | | | | (all_4_22 = e3) & ~ (all_4_22 = e2) & ~ % 12.09/2.48 | | | | | | | | | | | (all_4_22 = e0) & ~ (all_4_22 = e1)) | ( ~ % 12.09/2.48 | | | | | | | | | | | (all_4_23 = e3) & ~ (all_4_23 = e2) & ~ % 12.09/2.48 | | | | | | | | | | | (all_4_23 = e0) & ~ (all_4_23 = e1)) | ( ~ % 12.09/2.48 | | | | | | | | | | | (unit = e3) & ~ (unit = e2) & ~ (unit = e0) & % 12.09/2.48 | | | | | | | | | | | ~ (unit = e1)) | (( ~ (all_4_20 = e3) | ~ % 12.09/2.48 | | | | | | | | | | | (all_4_21 = e3) | ~ (all_4_22 = e3) | ~ % 12.09/2.48 | | | | | | | | | | | (all_4_23 = e3)) & ( ~ (all_4_20 = e2) | ~ % 12.09/2.48 | | | | | | | | | | | (all_4_21 = e2) | ~ (all_4_22 = e2) | ~ % 12.09/2.48 | | | | | | | | | | | (all_4_23 = e2)) & ( ~ (all_4_20 = e0) | ~ % 12.09/2.48 | | | | | | | | | | | (all_4_21 = e0) | ~ (all_4_22 = e0) | ~ % 12.09/2.48 | | | | | | | | | | | (all_4_23 = e0)) & ( ~ (all_4_20 = e1) | ~ % 12.09/2.48 | | | | | | | | | | | (all_4_21 = e1) | ~ (all_4_22 = e1) | ~ % 12.09/2.48 | | | | | | | | | | | (all_4_23 = e1))) % 12.09/2.48 | | | | | | | | | | | % 12.09/2.48 | | | | | | | | | | | BETA: splitting (262) gives: % 12.09/2.48 | | | | | | | | | | | % 12.09/2.48 | | | | | | | | | | | Case 1: % 12.09/2.48 | | | | | | | | | | | | % 12.09/2.48 | | | | | | | | | | | | (263) ( ~ (all_4_17 = e3) & ~ (all_4_17 = e2) & ~ % 12.09/2.48 | | | | | | | | | | | | (all_4_17 = e0) & ~ (all_4_17 = e1)) | ( ~ % 12.09/2.48 | | | | | | | | | | | | (all_4_17 = e3) & ~ (all_4_18 = e3) & ~ % 12.09/2.48 | | | | | | | | | | | | (all_4_19 = e3) & ~ (all_4_23 = e3)) | ( ~ % 12.09/2.48 | | | | | | | | | | | | (all_4_17 = e2) & ~ (all_4_18 = e2) & ~ % 12.09/2.48 | | | | | | | | | | | | (all_4_19 = e2) & ~ (all_4_23 = e2)) | ( ~ % 12.09/2.48 | | | | | | | | | | | | (all_4_17 = e0) & ~ (all_4_18 = e0) & ~ % 12.09/2.48 | | | | | | | | | | | | (all_4_19 = e0) & ~ (all_4_23 = e0)) | ( ~ % 12.09/2.48 | | | | | | | | | | | | (all_4_17 = e1) & ~ (all_4_18 = e1) & ~ % 12.09/2.48 | | | | | | | | | | | | (all_4_19 = e1) & ~ (all_4_23 = e1)) | ( ~ % 12.09/2.48 | | | | | | | | | | | | (all_4_18 = e3) & ~ (all_4_18 = e2) & ~ % 12.09/2.48 | | | | | | | | | | | | (all_4_18 = e0) & ~ (all_4_18 = e1)) % 12.09/2.48 | | | | | | | | | | | | % 12.09/2.48 | | | | | | | | | | | | BETA: splitting (263) gives: % 12.09/2.48 | | | | | | | | | | | | % 12.09/2.48 | | | | | | | | | | | | Case 1: % 12.09/2.48 | | | | | | | | | | | | | % 12.09/2.48 | | | | | | | | | | | | | (264) ( ~ (all_4_17 = e3) & ~ (all_4_17 = e2) & ~ % 12.09/2.48 | | | | | | | | | | | | | (all_4_17 = e0) & ~ (all_4_17 = e1)) | ( ~ % 12.09/2.48 | | | | | | | | | | | | | (all_4_17 = e3) & ~ (all_4_18 = e3) & ~ % 12.09/2.48 | | | | | | | | | | | | | (all_4_19 = e3) & ~ (all_4_23 = e3)) | ( ~ % 12.09/2.48 | | | | | | | | | | | | | (all_4_17 = e2) & ~ (all_4_18 = e2) & ~ % 12.09/2.48 | | | | | | | | | | | | | (all_4_19 = e2) & ~ (all_4_23 = e2)) % 12.09/2.48 | | | | | | | | | | | | | % 12.09/2.48 | | | | | | | | | | | | | BETA: splitting (264) gives: % 12.09/2.48 | | | | | | | | | | | | | % 12.09/2.48 | | | | | | | | | | | | | Case 1: % 12.09/2.48 | | | | | | | | | | | | | | % 12.09/2.48 | | | | | | | | | | | | | | (265) ~ (all_4_17 = e3) & ~ (all_4_17 = e2) & ~ % 12.09/2.48 | | | | | | | | | | | | | | (all_4_17 = e0) & ~ (all_4_17 = e1) % 12.09/2.48 | | | | | | | | | | | | | | % 12.09/2.48 | | | | | | | | | | | | | | ALPHA: (265) implies: % 12.09/2.48 | | | | | | | | | | | | | | (266) ~ (all_4_17 = e3) % 12.09/2.48 | | | | | | | | | | | | | | % 12.09/2.48 | | | | | | | | | | | | | | REDUCE: (79), (266) imply: % 12.09/2.48 | | | | | | | | | | | | | | (267) $false % 12.09/2.48 | | | | | | | | | | | | | | % 12.09/2.48 | | | | | | | | | | | | | | CLOSE: (267) is inconsistent. % 12.09/2.48 | | | | | | | | | | | | | | % 12.09/2.48 | | | | | | | | | | | | | Case 2: % 12.09/2.48 | | | | | | | | | | | | | | % 12.09/2.48 | | | | | | | | | | | | | | (268) ( ~ (all_4_17 = e3) & ~ (all_4_18 = e3) & ~ % 12.09/2.48 | | | | | | | | | | | | | | (all_4_19 = e3) & ~ (all_4_23 = e3)) | ( ~ % 12.09/2.48 | | | | | | | | | | | | | | (all_4_17 = e2) & ~ (all_4_18 = e2) & ~ % 12.09/2.48 | | | | | | | | | | | | | | (all_4_19 = e2) & ~ (all_4_23 = e2)) % 12.09/2.48 | | | | | | | | | | | | | | % 12.09/2.48 | | | | | | | | | | | | | | BETA: splitting (268) gives: % 12.09/2.48 | | | | | | | | | | | | | | % 12.09/2.48 | | | | | | | | | | | | | | Case 1: % 12.09/2.48 | | | | | | | | | | | | | | | % 12.09/2.48 | | | | | | | | | | | | | | | (269) ~ (all_4_17 = e3) & ~ (all_4_18 = e3) & ~ % 12.09/2.48 | | | | | | | | | | | | | | | (all_4_19 = e3) & ~ (all_4_23 = e3) % 12.09/2.48 | | | | | | | | | | | | | | | % 12.09/2.48 | | | | | | | | | | | | | | | ALPHA: (269) implies: % 12.09/2.48 | | | | | | | | | | | | | | | (270) ~ (all_4_17 = e3) % 12.09/2.48 | | | | | | | | | | | | | | | % 12.09/2.48 | | | | | | | | | | | | | | | REDUCE: (79), (270) imply: % 12.09/2.48 | | | | | | | | | | | | | | | (271) $false % 12.09/2.48 | | | | | | | | | | | | | | | % 12.09/2.48 | | | | | | | | | | | | | | | CLOSE: (271) is inconsistent. % 12.09/2.48 | | | | | | | | | | | | | | | % 12.09/2.48 | | | | | | | | | | | | | | Case 2: % 12.09/2.48 | | | | | | | | | | | | | | | % 12.09/2.48 | | | | | | | | | | | | | | | (272) ~ (all_4_17 = e2) & ~ (all_4_18 = e2) & ~ % 12.09/2.48 | | | | | | | | | | | | | | | (all_4_19 = e2) & ~ (all_4_23 = e2) % 12.09/2.48 | | | | | | | | | | | | | | | % 12.09/2.48 | | | | | | | | | | | | | | | ALPHA: (272) implies: % 12.09/2.48 | | | | | | | | | | | | | | | (273) ~ (all_4_18 = e2) % 12.09/2.48 | | | | | | | | | | | | | | | % 12.09/2.48 | | | | | | | | | | | | | | | REDUCE: (83), (273) imply: % 12.09/2.48 | | | | | | | | | | | | | | | (274) $false % 12.09/2.48 | | | | | | | | | | | | | | | % 12.09/2.48 | | | | | | | | | | | | | | | CLOSE: (274) is inconsistent. % 12.09/2.48 | | | | | | | | | | | | | | | % 12.09/2.48 | | | | | | | | | | | | | | End of split % 12.09/2.48 | | | | | | | | | | | | | | % 12.09/2.48 | | | | | | | | | | | | | End of split % 12.09/2.48 | | | | | | | | | | | | | % 12.09/2.48 | | | | | | | | | | | | Case 2: % 12.09/2.48 | | | | | | | | | | | | | % 12.09/2.48 | | | | | | | | | | | | | (275) ( ~ (all_4_17 = e0) & ~ (all_4_18 = e0) & ~ % 12.09/2.48 | | | | | | | | | | | | | (all_4_19 = e0) & ~ (all_4_23 = e0)) | ( ~ % 12.09/2.48 | | | | | | | | | | | | | (all_4_17 = e1) & ~ (all_4_18 = e1) & ~ % 12.09/2.48 | | | | | | | | | | | | | (all_4_19 = e1) & ~ (all_4_23 = e1)) | ( ~ % 12.09/2.48 | | | | | | | | | | | | | (all_4_18 = e3) & ~ (all_4_18 = e2) & ~ % 12.09/2.48 | | | | | | | | | | | | | (all_4_18 = e0) & ~ (all_4_18 = e1)) % 12.09/2.48 | | | | | | | | | | | | | % 12.09/2.48 | | | | | | | | | | | | | BETA: splitting (275) gives: % 12.09/2.48 | | | | | | | | | | | | | % 12.09/2.48 | | | | | | | | | | | | | Case 1: % 12.09/2.48 | | | | | | | | | | | | | | % 12.09/2.48 | | | | | | | | | | | | | | (276) ~ (all_4_17 = e0) & ~ (all_4_18 = e0) & ~ % 12.09/2.48 | | | | | | | | | | | | | | (all_4_19 = e0) & ~ (all_4_23 = e0) % 12.09/2.48 | | | | | | | | | | | | | | % 12.09/2.48 | | | | | | | | | | | | | | ALPHA: (276) implies: % 12.09/2.48 | | | | | | | | | | | | | | (277) ~ (all_4_23 = e0) % 12.09/2.48 | | | | | | | | | | | | | | % 12.09/2.48 | | | | | | | | | | | | | | REDUCE: (90), (277) imply: % 12.09/2.48 | | | | | | | | | | | | | | (278) $false % 12.09/2.48 | | | | | | | | | | | | | | % 12.09/2.48 | | | | | | | | | | | | | | CLOSE: (278) is inconsistent. % 12.09/2.48 | | | | | | | | | | | | | | % 12.09/2.48 | | | | | | | | | | | | | Case 2: % 12.09/2.48 | | | | | | | | | | | | | | % 12.09/2.48 | | | | | | | | | | | | | | (279) ( ~ (all_4_17 = e1) & ~ (all_4_18 = e1) & ~ % 12.09/2.48 | | | | | | | | | | | | | | (all_4_19 = e1) & ~ (all_4_23 = e1)) | ( ~ % 12.09/2.48 | | | | | | | | | | | | | | (all_4_18 = e3) & ~ (all_4_18 = e2) & ~ % 12.09/2.48 | | | | | | | | | | | | | | (all_4_18 = e0) & ~ (all_4_18 = e1)) % 12.09/2.48 | | | | | | | | | | | | | | % 12.09/2.48 | | | | | | | | | | | | | | BETA: splitting (279) gives: % 12.09/2.48 | | | | | | | | | | | | | | % 12.09/2.48 | | | | | | | | | | | | | | Case 1: % 12.09/2.48 | | | | | | | | | | | | | | | % 12.09/2.48 | | | | | | | | | | | | | | | (280) ~ (all_4_17 = e1) & ~ (all_4_18 = e1) & ~ % 12.09/2.48 | | | | | | | | | | | | | | | (all_4_19 = e1) & ~ (all_4_23 = e1) % 12.09/2.48 | | | | | | | | | | | | | | | % 12.09/2.48 | | | | | | | | | | | | | | | ALPHA: (280) implies: % 12.09/2.48 | | | | | | | | | | | | | | | (281) ~ (all_4_19 = e1) % 12.09/2.48 | | | | | | | | | | | | | | | % 12.09/2.48 | | | | | | | | | | | | | | | REDUCE: (86), (281) imply: % 12.09/2.48 | | | | | | | | | | | | | | | (282) $false % 12.09/2.48 | | | | | | | | | | | | | | | % 12.09/2.48 | | | | | | | | | | | | | | | CLOSE: (282) is inconsistent. % 12.09/2.48 | | | | | | | | | | | | | | | % 12.09/2.48 | | | | | | | | | | | | | | Case 2: % 12.09/2.48 | | | | | | | | | | | | | | | % 12.09/2.48 | | | | | | | | | | | | | | | (283) ~ (all_4_18 = e3) & ~ (all_4_18 = e2) & ~ % 12.09/2.48 | | | | | | | | | | | | | | | (all_4_18 = e0) & ~ (all_4_18 = e1) % 12.09/2.48 | | | | | | | | | | | | | | | % 12.09/2.48 | | | | | | | | | | | | | | | ALPHA: (283) implies: % 12.09/2.48 | | | | | | | | | | | | | | | (284) ~ (all_4_18 = e2) % 12.09/2.48 | | | | | | | | | | | | | | | % 12.09/2.48 | | | | | | | | | | | | | | | REDUCE: (83), (284) imply: % 12.09/2.48 | | | | | | | | | | | | | | | (285) $false % 12.09/2.48 | | | | | | | | | | | | | | | % 12.09/2.48 | | | | | | | | | | | | | | | CLOSE: (285) is inconsistent. % 12.09/2.48 | | | | | | | | | | | | | | | % 12.09/2.48 | | | | | | | | | | | | | | End of split % 12.09/2.48 | | | | | | | | | | | | | | % 12.09/2.48 | | | | | | | | | | | | | End of split % 12.09/2.48 | | | | | | | | | | | | | % 12.09/2.48 | | | | | | | | | | | | End of split % 12.09/2.48 | | | | | | | | | | | | % 12.09/2.48 | | | | | | | | | | | Case 2: % 12.09/2.48 | | | | | | | | | | | | % 12.09/2.48 | | | | | | | | | | | | (286) ( ~ (all_4_19 = e3) & ~ (all_4_19 = e2) & ~ % 12.09/2.48 | | | | | | | | | | | | (all_4_19 = e0) & ~ (all_4_19 = e1)) | ( ~ % 12.09/2.48 | | | | | | | | | | | | (all_4_20 = e3) & ~ (all_4_20 = e2) & ~ % 12.09/2.48 | | | | | | | | | | | | (all_4_20 = e0) & ~ (all_4_20 = e1)) | ( ~ % 12.09/2.48 | | | | | | | | | | | | (all_4_21 = e3) & ~ (all_4_21 = e2) & ~ % 12.09/2.48 | | | | | | | | | | | | (all_4_21 = e0) & ~ (all_4_21 = e1)) | ( ~ % 12.09/2.48 | | | | | | | | | | | | (all_4_22 = e3) & ~ (all_4_22 = e2) & ~ % 12.09/2.48 | | | | | | | | | | | | (all_4_22 = e0) & ~ (all_4_22 = e1)) | ( ~ % 12.09/2.48 | | | | | | | | | | | | (all_4_23 = e3) & ~ (all_4_23 = e2) & ~ % 12.09/2.48 | | | | | | | | | | | | (all_4_23 = e0) & ~ (all_4_23 = e1)) | ( ~ % 12.09/2.48 | | | | | | | | | | | | (unit = e3) & ~ (unit = e2) & ~ (unit = e0) & % 12.09/2.48 | | | | | | | | | | | | ~ (unit = e1)) | (( ~ (all_4_20 = e3) | ~ % 12.09/2.48 | | | | | | | | | | | | (all_4_21 = e3) | ~ (all_4_22 = e3) | ~ % 12.09/2.48 | | | | | | | | | | | | (all_4_23 = e3)) & ( ~ (all_4_20 = e2) | ~ % 12.09/2.48 | | | | | | | | | | | | (all_4_21 = e2) | ~ (all_4_22 = e2) | ~ % 12.09/2.48 | | | | | | | | | | | | (all_4_23 = e2)) & ( ~ (all_4_20 = e0) | ~ % 12.09/2.48 | | | | | | | | | | | | (all_4_21 = e0) | ~ (all_4_22 = e0) | ~ % 12.09/2.48 | | | | | | | | | | | | (all_4_23 = e0)) & ( ~ (all_4_20 = e1) | ~ % 12.09/2.48 | | | | | | | | | | | | (all_4_21 = e1) | ~ (all_4_22 = e1) | ~ % 12.09/2.48 | | | | | | | | | | | | (all_4_23 = e1))) % 12.09/2.48 | | | | | | | | | | | | % 12.09/2.48 | | | | | | | | | | | | BETA: splitting (286) gives: % 12.09/2.48 | | | | | | | | | | | | % 12.09/2.48 | | | | | | | | | | | | Case 1: % 12.09/2.48 | | | | | | | | | | | | | % 12.09/2.48 | | | | | | | | | | | | | (287) ( ~ (all_4_19 = e3) & ~ (all_4_19 = e2) & ~ % 12.09/2.48 | | | | | | | | | | | | | (all_4_19 = e0) & ~ (all_4_19 = e1)) | ( ~ % 12.09/2.48 | | | | | | | | | | | | | (all_4_20 = e3) & ~ (all_4_20 = e2) & ~ % 12.09/2.48 | | | | | | | | | | | | | (all_4_20 = e0) & ~ (all_4_20 = e1)) | ( ~ % 12.09/2.48 | | | | | | | | | | | | | (all_4_21 = e3) & ~ (all_4_21 = e2) & ~ % 12.09/2.48 | | | | | | | | | | | | | (all_4_21 = e0) & ~ (all_4_21 = e1)) % 12.09/2.48 | | | | | | | | | | | | | % 12.09/2.48 | | | | | | | | | | | | | BETA: splitting (287) gives: % 12.09/2.48 | | | | | | | | | | | | | % 12.09/2.48 | | | | | | | | | | | | | Case 1: % 12.09/2.48 | | | | | | | | | | | | | | % 12.09/2.48 | | | | | | | | | | | | | | (288) ~ (all_4_19 = e3) & ~ (all_4_19 = e2) & ~ % 12.09/2.48 | | | | | | | | | | | | | | (all_4_19 = e0) & ~ (all_4_19 = e1) % 12.09/2.48 | | | | | | | | | | | | | | % 12.09/2.48 | | | | | | | | | | | | | | ALPHA: (288) implies: % 12.09/2.48 | | | | | | | | | | | | | | (289) ~ (all_4_19 = e1) % 12.09/2.48 | | | | | | | | | | | | | | % 12.09/2.48 | | | | | | | | | | | | | | REDUCE: (86), (289) imply: % 12.09/2.48 | | | | | | | | | | | | | | (290) $false % 12.09/2.48 | | | | | | | | | | | | | | % 12.09/2.48 | | | | | | | | | | | | | | CLOSE: (290) is inconsistent. % 12.09/2.48 | | | | | | | | | | | | | | % 12.09/2.48 | | | | | | | | | | | | | Case 2: % 12.09/2.48 | | | | | | | | | | | | | | % 12.09/2.48 | | | | | | | | | | | | | | (291) ( ~ (all_4_20 = e3) & ~ (all_4_20 = e2) & ~ % 12.09/2.48 | | | | | | | | | | | | | | (all_4_20 = e0) & ~ (all_4_20 = e1)) | ( ~ % 12.09/2.48 | | | | | | | | | | | | | | (all_4_21 = e3) & ~ (all_4_21 = e2) & ~ % 12.09/2.48 | | | | | | | | | | | | | | (all_4_21 = e0) & ~ (all_4_21 = e1)) % 12.09/2.48 | | | | | | | | | | | | | | % 12.09/2.48 | | | | | | | | | | | | | | BETA: splitting (291) gives: % 12.09/2.48 | | | | | | | | | | | | | | % 12.09/2.48 | | | | | | | | | | | | | | Case 1: % 12.09/2.48 | | | | | | | | | | | | | | | % 12.09/2.48 | | | | | | | | | | | | | | | (292) ~ (all_4_20 = e3) & ~ (all_4_20 = e2) & ~ % 12.09/2.48 | | | | | | | | | | | | | | | (all_4_20 = e0) & ~ (all_4_20 = e1) % 12.09/2.48 | | | | | | | | | | | | | | | % 12.09/2.48 | | | | | | | | | | | | | | | ALPHA: (292) implies: % 12.09/2.48 | | | | | | | | | | | | | | | (293) ~ (all_4_20 = e0) % 12.09/2.48 | | | | | | | | | | | | | | | % 12.09/2.48 | | | | | | | | | | | | | | | REDUCE: (76), (293) imply: % 12.09/2.48 | | | | | | | | | | | | | | | (294) $false % 12.09/2.48 | | | | | | | | | | | | | | | % 12.09/2.48 | | | | | | | | | | | | | | | CLOSE: (294) is inconsistent. % 12.09/2.48 | | | | | | | | | | | | | | | % 12.09/2.48 | | | | | | | | | | | | | | Case 2: % 12.09/2.48 | | | | | | | | | | | | | | | % 12.09/2.48 | | | | | | | | | | | | | | | (295) ~ (all_4_21 = e3) & ~ (all_4_21 = e2) & ~ % 12.09/2.48 | | | | | | | | | | | | | | | (all_4_21 = e0) & ~ (all_4_21 = e1) % 12.09/2.48 | | | | | | | | | | | | | | | % 12.09/2.48 | | | | | | | | | | | | | | | ALPHA: (295) implies: % 12.09/2.48 | | | | | | | | | | | | | | | (296) ~ (all_4_21 = e0) % 12.09/2.48 | | | | | | | | | | | | | | | % 12.09/2.48 | | | | | | | | | | | | | | | REDUCE: (70), (296) imply: % 12.09/2.49 | | | | | | | | | | | | | | | (297) $false % 12.09/2.49 | | | | | | | | | | | | | | | % 12.09/2.49 | | | | | | | | | | | | | | | CLOSE: (297) is inconsistent. % 12.09/2.49 | | | | | | | | | | | | | | | % 12.09/2.49 | | | | | | | | | | | | | | End of split % 12.09/2.49 | | | | | | | | | | | | | | % 12.09/2.49 | | | | | | | | | | | | | End of split % 12.09/2.49 | | | | | | | | | | | | | % 12.09/2.49 | | | | | | | | | | | | Case 2: % 12.09/2.49 | | | | | | | | | | | | | % 12.09/2.49 | | | | | | | | | | | | | (298) ( ~ (all_4_22 = e3) & ~ (all_4_22 = e2) & ~ % 12.09/2.49 | | | | | | | | | | | | | (all_4_22 = e0) & ~ (all_4_22 = e1)) | ( ~ % 12.09/2.49 | | | | | | | | | | | | | (all_4_23 = e3) & ~ (all_4_23 = e2) & ~ % 12.09/2.49 | | | | | | | | | | | | | (all_4_23 = e0) & ~ (all_4_23 = e1)) | ( ~ % 12.09/2.49 | | | | | | | | | | | | | (unit = e3) & ~ (unit = e2) & ~ (unit = e0) & % 12.09/2.49 | | | | | | | | | | | | | ~ (unit = e1)) | (( ~ (all_4_20 = e3) | ~ % 12.09/2.49 | | | | | | | | | | | | | (all_4_21 = e3) | ~ (all_4_22 = e3) | ~ % 12.09/2.49 | | | | | | | | | | | | | (all_4_23 = e3)) & ( ~ (all_4_20 = e2) | ~ % 12.09/2.49 | | | | | | | | | | | | | (all_4_21 = e2) | ~ (all_4_22 = e2) | ~ % 12.09/2.49 | | | | | | | | | | | | | (all_4_23 = e2)) & ( ~ (all_4_20 = e0) | ~ % 12.09/2.49 | | | | | | | | | | | | | (all_4_21 = e0) | ~ (all_4_22 = e0) | ~ % 12.09/2.49 | | | | | | | | | | | | | (all_4_23 = e0)) & ( ~ (all_4_20 = e1) | ~ % 12.09/2.49 | | | | | | | | | | | | | (all_4_21 = e1) | ~ (all_4_22 = e1) | ~ % 12.09/2.49 | | | | | | | | | | | | | (all_4_23 = e1))) % 12.09/2.49 | | | | | | | | | | | | | % 12.09/2.49 | | | | | | | | | | | | | BETA: splitting (298) gives: % 12.09/2.49 | | | | | | | | | | | | | % 12.09/2.49 | | | | | | | | | | | | | Case 1: % 12.09/2.49 | | | | | | | | | | | | | | % 12.09/2.49 | | | | | | | | | | | | | | (299) ( ~ (all_4_22 = e3) & ~ (all_4_22 = e2) & ~ % 12.09/2.49 | | | | | | | | | | | | | | (all_4_22 = e0) & ~ (all_4_22 = e1)) | ( ~ % 12.09/2.49 | | | | | | | | | | | | | | (all_4_23 = e3) & ~ (all_4_23 = e2) & ~ % 12.09/2.49 | | | | | | | | | | | | | | (all_4_23 = e0) & ~ (all_4_23 = e1)) % 12.09/2.49 | | | | | | | | | | | | | | % 12.09/2.49 | | | | | | | | | | | | | | BETA: splitting (299) gives: % 12.09/2.49 | | | | | | | | | | | | | | % 12.09/2.49 | | | | | | | | | | | | | | Case 1: % 12.09/2.49 | | | | | | | | | | | | | | | % 12.09/2.49 | | | | | | | | | | | | | | | (300) ~ (all_4_22 = e3) & ~ (all_4_22 = e2) & ~ % 12.09/2.49 | | | | | | | | | | | | | | | (all_4_22 = e0) & ~ (all_4_22 = e1) % 12.09/2.49 | | | | | | | | | | | | | | | % 12.09/2.49 | | | | | | | | | | | | | | | ALPHA: (300) implies: % 12.09/2.49 | | | | | | | | | | | | | | | (301) ~ (all_4_22 = e0) % 12.09/2.49 | | | | | | | | | | | | | | | % 12.09/2.49 | | | | | | | | | | | | | | | REDUCE: (53), (301) imply: % 12.09/2.49 | | | | | | | | | | | | | | | (302) $false % 12.09/2.49 | | | | | | | | | | | | | | | % 12.09/2.49 | | | | | | | | | | | | | | | CLOSE: (302) is inconsistent. % 12.09/2.49 | | | | | | | | | | | | | | | % 12.09/2.49 | | | | | | | | | | | | | | Case 2: % 12.09/2.49 | | | | | | | | | | | | | | | % 12.09/2.49 | | | | | | | | | | | | | | | (303) ~ (all_4_23 = e3) & ~ (all_4_23 = e2) & ~ % 12.09/2.49 | | | | | | | | | | | | | | | (all_4_23 = e0) & ~ (all_4_23 = e1) % 12.09/2.49 | | | | | | | | | | | | | | | % 12.09/2.49 | | | | | | | | | | | | | | | ALPHA: (303) implies: % 12.09/2.49 | | | | | | | | | | | | | | | (304) ~ (all_4_23 = e0) % 12.09/2.49 | | | | | | | | | | | | | | | % 12.09/2.49 | | | | | | | | | | | | | | | REDUCE: (90), (304) imply: % 12.09/2.49 | | | | | | | | | | | | | | | (305) $false % 12.09/2.49 | | | | | | | | | | | | | | | % 12.09/2.49 | | | | | | | | | | | | | | | CLOSE: (305) is inconsistent. % 12.09/2.49 | | | | | | | | | | | | | | | % 12.09/2.49 | | | | | | | | | | | | | | End of split % 12.09/2.49 | | | | | | | | | | | | | | % 12.09/2.49 | | | | | | | | | | | | | Case 2: % 12.09/2.49 | | | | | | | | | | | | | | % 12.09/2.49 | | | | | | | | | | | | | | (306) ( ~ (unit = e3) & ~ (unit = e2) & ~ (unit = e0) % 12.09/2.49 | | | | | | | | | | | | | | & ~ (unit = e1)) | (( ~ (all_4_20 = e3) | ~ % 12.09/2.49 | | | | | | | | | | | | | | (all_4_21 = e3) | ~ (all_4_22 = e3) | ~ % 12.09/2.49 | | | | | | | | | | | | | | (all_4_23 = e3)) & ( ~ (all_4_20 = e2) | ~ % 12.09/2.49 | | | | | | | | | | | | | | (all_4_21 = e2) | ~ (all_4_22 = e2) | ~ % 12.09/2.49 | | | | | | | | | | | | | | (all_4_23 = e2)) & ( ~ (all_4_20 = e0) | ~ % 12.09/2.49 | | | | | | | | | | | | | | (all_4_21 = e0) | ~ (all_4_22 = e0) | ~ % 12.09/2.49 | | | | | | | | | | | | | | (all_4_23 = e0)) & ( ~ (all_4_20 = e1) | ~ % 12.09/2.49 | | | | | | | | | | | | | | (all_4_21 = e1) | ~ (all_4_22 = e1) | ~ % 12.09/2.49 | | | | | | | | | | | | | | (all_4_23 = e1))) % 12.09/2.49 | | | | | | | | | | | | | | % 12.09/2.49 | | | | | | | | | | | | | | BETA: splitting (306) gives: % 12.09/2.49 | | | | | | | | | | | | | | % 12.09/2.49 | | | | | | | | | | | | | | Case 1: % 12.09/2.49 | | | | | | | | | | | | | | | % 12.09/2.49 | | | | | | | | | | | | | | | (307) ~ (unit = e3) & ~ (unit = e2) & ~ (unit = e0) & % 12.09/2.49 | | | | | | | | | | | | | | | ~ (unit = e1) % 12.09/2.49 | | | | | | | | | | | | | | | % 12.09/2.49 | | | | | | | | | | | | | | | ALPHA: (307) implies: % 12.09/2.49 | | | | | | | | | | | | | | | (308) ~ (unit = e0) % 12.09/2.49 | | | | | | | | | | | | | | | % 12.09/2.49 | | | | | | | | | | | | | | | REDUCE: (17), (308) imply: % 12.09/2.49 | | | | | | | | | | | | | | | (309) $false % 12.09/2.49 | | | | | | | | | | | | | | | % 12.09/2.49 | | | | | | | | | | | | | | | CLOSE: (309) is inconsistent. % 12.09/2.49 | | | | | | | | | | | | | | | % 12.09/2.49 | | | | | | | | | | | | | | Case 2: % 12.09/2.49 | | | | | | | | | | | | | | | % 12.09/2.49 | | | | | | | | | | | | | | | (310) ( ~ (all_4_20 = e3) | ~ (all_4_21 = e3) | ~ % 12.09/2.49 | | | | | | | | | | | | | | | (all_4_22 = e3) | ~ (all_4_23 = e3)) & ( ~ % 12.09/2.49 | | | | | | | | | | | | | | | (all_4_20 = e2) | ~ (all_4_21 = e2) | ~ % 12.09/2.49 | | | | | | | | | | | | | | | (all_4_22 = e2) | ~ (all_4_23 = e2)) & ( ~ % 12.09/2.49 | | | | | | | | | | | | | | | (all_4_20 = e0) | ~ (all_4_21 = e0) | ~ % 12.09/2.49 | | | | | | | | | | | | | | | (all_4_22 = e0) | ~ (all_4_23 = e0)) & ( ~ % 12.09/2.49 | | | | | | | | | | | | | | | (all_4_20 = e1) | ~ (all_4_21 = e1) | ~ % 12.09/2.49 | | | | | | | | | | | | | | | (all_4_22 = e1) | ~ (all_4_23 = e1)) % 12.09/2.49 | | | | | | | | | | | | | | | % 12.09/2.49 | | | | | | | | | | | | | | | ALPHA: (310) implies: % 12.09/2.49 | | | | | | | | | | | | | | | (311) ~ (all_4_20 = e0) | ~ (all_4_21 = e0) | ~ % 12.09/2.49 | | | | | | | | | | | | | | | (all_4_22 = e0) | ~ (all_4_23 = e0) % 12.09/2.49 | | | | | | | | | | | | | | | % 12.09/2.49 | | | | | | | | | | | | | | | BETA: splitting (311) gives: % 12.09/2.49 | | | | | | | | | | | | | | | % 12.09/2.49 | | | | | | | | | | | | | | | Case 1: % 12.09/2.49 | | | | | | | | | | | | | | | | % 12.09/2.49 | | | | | | | | | | | | | | | | (312) ~ (all_4_20 = e0) % 12.09/2.49 | | | | | | | | | | | | | | | | % 12.09/2.49 | | | | | | | | | | | | | | | | REDUCE: (76), (312) imply: % 12.09/2.49 | | | | | | | | | | | | | | | | (313) $false % 12.09/2.49 | | | | | | | | | | | | | | | | % 12.09/2.49 | | | | | | | | | | | | | | | | CLOSE: (313) is inconsistent. % 12.09/2.49 | | | | | | | | | | | | | | | | % 12.09/2.49 | | | | | | | | | | | | | | | Case 2: % 12.09/2.49 | | | | | | | | | | | | | | | | % 12.09/2.49 | | | | | | | | | | | | | | | | (314) ~ (all_4_21 = e0) | ~ (all_4_22 = e0) | ~ % 12.09/2.49 | | | | | | | | | | | | | | | | (all_4_23 = e0) % 12.09/2.49 | | | | | | | | | | | | | | | | % 12.09/2.49 | | | | | | | | | | | | | | | | BETA: splitting (314) gives: % 12.09/2.49 | | | | | | | | | | | | | | | | % 12.09/2.49 | | | | | | | | | | | | | | | | Case 1: % 12.09/2.49 | | | | | | | | | | | | | | | | | % 12.09/2.49 | | | | | | | | | | | | | | | | | (315) ~ (all_4_21 = e0) % 12.09/2.49 | | | | | | | | | | | | | | | | | % 12.09/2.49 | | | | | | | | | | | | | | | | | REDUCE: (70), (315) imply: % 12.09/2.49 | | | | | | | | | | | | | | | | | (316) $false % 12.09/2.49 | | | | | | | | | | | | | | | | | % 12.09/2.49 | | | | | | | | | | | | | | | | | CLOSE: (316) is inconsistent. % 12.09/2.49 | | | | | | | | | | | | | | | | | % 12.09/2.49 | | | | | | | | | | | | | | | | Case 2: % 12.09/2.49 | | | | | | | | | | | | | | | | | % 12.09/2.49 | | | | | | | | | | | | | | | | | (317) ~ (all_4_22 = e0) | ~ (all_4_23 = e0) % 12.09/2.49 | | | | | | | | | | | | | | | | | % 12.09/2.49 | | | | | | | | | | | | | | | | | BETA: splitting (317) gives: % 12.09/2.49 | | | | | | | | | | | | | | | | | % 12.09/2.49 | | | | | | | | | | | | | | | | | Case 1: % 12.09/2.49 | | | | | | | | | | | | | | | | | | % 12.09/2.49 | | | | | | | | | | | | | | | | | | (318) ~ (all_4_22 = e0) % 12.09/2.49 | | | | | | | | | | | | | | | | | | % 12.09/2.49 | | | | | | | | | | | | | | | | | | REDUCE: (53), (318) imply: % 12.09/2.49 | | | | | | | | | | | | | | | | | | (319) $false % 12.09/2.49 | | | | | | | | | | | | | | | | | | % 12.09/2.49 | | | | | | | | | | | | | | | | | | CLOSE: (319) is inconsistent. % 12.09/2.49 | | | | | | | | | | | | | | | | | | % 12.09/2.49 | | | | | | | | | | | | | | | | | Case 2: % 12.09/2.49 | | | | | | | | | | | | | | | | | | % 12.09/2.49 | | | | | | | | | | | | | | | | | | (320) ~ (all_4_23 = e0) % 12.09/2.49 | | | | | | | | | | | | | | | | | | % 12.09/2.49 | | | | | | | | | | | | | | | | | | REDUCE: (90), (320) imply: % 12.09/2.49 | | | | | | | | | | | | | | | | | | (321) $false % 12.09/2.49 | | | | | | | | | | | | | | | | | | % 12.09/2.49 | | | | | | | | | | | | | | | | | | CLOSE: (321) is inconsistent. % 12.09/2.49 | | | | | | | | | | | | | | | | | | % 12.09/2.49 | | | | | | | | | | | | | | | | | End of split % 12.09/2.49 | | | | | | | | | | | | | | | | | % 12.09/2.49 | | | | | | | | | | | | | | | | End of split % 12.09/2.49 | | | | | | | | | | | | | | | | % 12.09/2.49 | | | | | | | | | | | | | | | End of split % 12.09/2.49 | | | | | | | | | | | | | | | % 12.09/2.49 | | | | | | | | | | | | | | End of split % 12.09/2.49 | | | | | | | | | | | | | | % 12.09/2.49 | | | | | | | | | | | | | End of split % 12.09/2.49 | | | | | | | | | | | | | % 12.09/2.49 | | | | | | | | | | | | End of split % 12.09/2.49 | | | | | | | | | | | | % 12.09/2.49 | | | | | | | | | | | End of split % 12.09/2.49 | | | | | | | | | | | % 12.09/2.49 | | | | | | | | | | End of split % 12.09/2.49 | | | | | | | | | | % 12.09/2.49 | | | | | | | | | End of split % 12.09/2.49 | | | | | | | | | % 12.09/2.49 | | | | | | | | End of split % 12.09/2.49 | | | | | | | | % 12.09/2.49 | | | | | | | End of split % 12.09/2.49 | | | | | | | % 12.09/2.49 | | | | | | End of split % 12.09/2.49 | | | | | | % 12.09/2.49 | | | | | End of split % 12.09/2.49 | | | | | % 12.09/2.49 | | | | End of split % 12.09/2.49 | | | | % 12.09/2.49 | | | End of split % 12.09/2.49 | | | % 12.09/2.49 | | End of split % 12.09/2.49 | | % 12.09/2.49 | End of split % 12.09/2.49 | % 12.09/2.49 End of proof % 12.09/2.49 % SZS output end Proof for theBenchmark % 12.09/2.49 % 12.09/2.49 1882ms %------------------------------------------------------------------------------