%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : ALG044+1 : TPTP v8.1.2. Released v2.7.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n018.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Aug 30 16:35:50 EDT 2023 % Result : Theorem 5.85s 1.57s % Output : Proof 11.75s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ALG044+1 : TPTP v8.1.2. Released v2.7.0. % 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.13/0.34 % Computer : n018.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 300 % 0.13/0.34 % DateTime : Mon Aug 28 03:04:31 EDT 2023 % 0.13/0.34 % CPUTime : % 0.19/0.60 ________ _____ % 0.19/0.60 ___ __ \_________(_)________________________________ % 0.19/0.60 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.19/0.60 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.19/0.60 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.19/0.60 % 0.19/0.60 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.19/0.60 (2023-06-19) % 0.19/0.60 % 0.19/0.60 (c) Philipp Rümmer, 2009-2023 % 0.19/0.60 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.19/0.60 Amanda Stjerna. % 0.19/0.60 Free software under BSD-3-Clause. % 0.19/0.60 % 0.19/0.60 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.19/0.60 % 0.19/0.60 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.19/0.61 Running up to 7 provers in parallel. % 0.19/0.63 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.19/0.63 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.19/0.63 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.19/0.63 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.19/0.63 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.19/0.63 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.19/0.63 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 3.67/1.18 Prover 4: Preprocessing ... % 3.67/1.19 Prover 1: Preprocessing ... % 3.99/1.22 Prover 0: Preprocessing ... % 3.99/1.22 Prover 3: Preprocessing ... % 3.99/1.22 Prover 2: Preprocessing ... % 3.99/1.22 Prover 5: Preprocessing ... % 3.99/1.22 Prover 6: Preprocessing ... % 5.85/1.54 Prover 2: Constructing countermodel ... % 5.85/1.54 Prover 3: Constructing countermodel ... % 5.85/1.54 Prover 4: Constructing countermodel ... % 5.85/1.54 Prover 1: Constructing countermodel ... % 5.85/1.57 Prover 3: proved (944ms) % 5.85/1.57 Prover 2: proved (946ms) % 5.85/1.57 % 5.85/1.57 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 5.85/1.57 % 5.85/1.57 % 5.85/1.57 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 5.85/1.57 % 5.85/1.57 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 5.85/1.57 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 5.85/1.57 Prover 0: Constructing countermodel ... % 6.56/1.57 Prover 0: stopped % 6.56/1.58 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 6.56/1.58 Prover 5: Constructing countermodel ... % 6.56/1.58 Prover 5: stopped % 6.56/1.58 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 6.56/1.59 Prover 6: Constructing countermodel ... % 6.56/1.59 Prover 6: stopped % 6.56/1.59 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 7.47/1.73 Prover 10: Preprocessing ... % 7.47/1.74 Prover 7: Preprocessing ... % 7.47/1.74 Prover 11: Preprocessing ... % 7.47/1.74 Prover 8: Preprocessing ... % 7.47/1.76 Prover 13: Preprocessing ... % 8.06/1.84 Prover 8: Constructing countermodel ... % 8.06/1.86 Prover 7: Constructing countermodel ... % 8.80/1.87 Prover 13: Constructing countermodel ... % 8.80/1.88 Prover 11: Constructing countermodel ... % 8.96/1.89 Prover 10: Constructing countermodel ... % 9.93/2.10 Prover 4: Found proof (size 295) % 9.93/2.10 Prover 4: proved (1477ms) % 9.93/2.10 Prover 7: stopped % 9.93/2.10 Prover 11: stopped % 9.93/2.10 Prover 13: stopped % 9.93/2.10 Prover 8: stopped % 9.93/2.10 Prover 10: stopped % 9.93/2.10 Prover 1: Found proof (size 295) % 9.93/2.10 Prover 1: proved (1482ms) % 9.93/2.10 % 9.93/2.10 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 9.93/2.10 % 10.62/2.14 % SZS output start Proof for theBenchmark % 10.62/2.14 Assumptions after simplification: % 10.62/2.14 --------------------------------- % 10.62/2.14 % 10.62/2.14 (ax1) % 10.62/2.15 ~ (e3 = e2) & ~ (e3 = e0) & ~ (e3 = e1) & ~ (e2 = e0) & ~ (e2 = e1) & ~ % 10.62/2.15 (e0 = e1) & $i(e3) & $i(e2) & $i(e0) & $i(e1) % 10.62/2.15 % 10.62/2.15 (ax2) % 10.62/2.18 op(e3, e3) = e0 & op(e3, e2) = e1 & op(e3, e0) = e3 & op(e3, e1) = e2 & op(e2, % 10.62/2.18 e3) = e1 & op(e2, e2) = e3 & op(e2, e0) = e2 & op(e2, e1) = e0 & op(e0, e3) % 10.62/2.18 = e3 & op(e0, e2) = e2 & op(e0, e0) = e0 & op(e0, e1) = e1 & op(e1, e3) = e2 & % 10.62/2.18 op(e1, e2) = e0 & op(e1, e0) = e1 & op(e1, e1) = e3 & $i(e3) & $i(e2) & $i(e0) % 10.62/2.18 & $i(e1) % 10.62/2.18 % 10.62/2.18 (ax3) % 10.62/2.18 unit = e0 & $i(e0) % 10.62/2.18 % 10.62/2.18 (co1) % 10.98/2.21 $i(unit) & $i(e3) & $i(e2) & $i(e0) & $i(e1) & ? [v0: $i] : ? [v1: $i] : ? % 10.98/2.21 [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] % 10.98/2.21 : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? % 10.98/2.21 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? % 10.98/2.21 [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? % 10.98/2.21 [v23: $i] : (op(unit, e3) = v22 & op(unit, e2) = v20 & op(unit, e0) = v16 & % 10.98/2.21 op(unit, e1) = v18 & op(e3, unit) = v23 & op(e3, e3) = v3 & op(e3, e2) = v15 % 10.98/2.21 & op(e3, e0) = v13 & op(e3, e1) = v14 & op(e2, unit) = v21 & op(e2, e3) = % 10.98/2.21 v12 & op(e2, e2) = v2 & op(e2, e0) = v10 & op(e2, e1) = v11 & op(e0, unit) = % 10.98/2.21 v17 & op(e0, e3) = v6 & op(e0, e2) = v5 & op(e0, e0) = v0 & op(e0, e1) = v4 % 10.98/2.21 & op(e1, unit) = v19 & op(e1, e3) = v9 & op(e1, e2) = v8 & op(e1, e0) = v7 & % 10.98/2.21 op(e1, e1) = v1 & $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19) & $i(v18) % 10.98/2.21 & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & % 10.98/2.21 $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & % 10.98/2.21 $i(v2) & $i(v1) & $i(v0) & ( ~ (v23 = e3) | ~ (v22 = e3) | ~ (v21 = e2) | % 10.98/2.21 ~ (v20 = e2) | ~ (v19 = e1) | ~ (v18 = e1) | ~ (v17 = e0) | ~ (v16 = % 10.98/2.21 e0) | (v3 = e3 & v2 = e3 & v1 = e3 & v0 = e3) | (v3 = e2 & v2 = e2 & v1 % 10.98/2.21 = e2 & v0 = e2) | (v3 = e0 & v2 = e0 & v1 = e0 & v0 = e0) | (v3 = e1 & % 10.98/2.21 v2 = e1 & v1 = e1 & v0 = e1) | ( ~ (v15 = e3) & ~ (v15 = e2) & ~ (v15 % 10.98/2.21 = e0) & ~ (v15 = e1)) | ( ~ (v15 = e3) & ~ (v14 = e3) & ~ (v13 = % 10.98/2.21 e3) & ~ (v3 = e3)) | ( ~ (v15 = e3) & ~ (v8 = e3) & ~ (v5 = e3) & % 10.98/2.21 ~ (v2 = e3)) | ( ~ (v15 = e2) & ~ (v14 = e2) & ~ (v13 = e2) & ~ (v3 = % 10.98/2.21 e2)) | ( ~ (v15 = e2) & ~ (v8 = e2) & ~ (v5 = e2) & ~ (v2 = e2)) | % 10.98/2.21 ( ~ (v15 = e0) & ~ (v14 = e0) & ~ (v13 = e0) & ~ (v3 = e0)) | ( ~ (v15 % 10.98/2.21 = e0) & ~ (v8 = e0) & ~ (v5 = e0) & ~ (v2 = e0)) | ( ~ (v15 = e1) & % 10.98/2.21 ~ (v14 = e1) & ~ (v13 = e1) & ~ (v3 = e1)) | ( ~ (v15 = e1) & ~ (v8 % 10.98/2.21 = e1) & ~ (v5 = e1) & ~ (v2 = e1)) | ( ~ (v14 = e3) & ~ (v14 = e2) % 10.98/2.21 & ~ (v14 = e0) & ~ (v14 = e1)) | ( ~ (v14 = e3) & ~ (v11 = e3) & ~ % 10.98/2.21 (v4 = e3) & ~ (v1 = e3)) | ( ~ (v14 = e2) & ~ (v11 = e2) & ~ (v4 = % 10.98/2.21 e2) & ~ (v1 = e2)) | ( ~ (v14 = e0) & ~ (v11 = e0) & ~ (v4 = e0) & % 10.98/2.21 ~ (v1 = e0)) | ( ~ (v14 = e1) & ~ (v11 = e1) & ~ (v4 = e1) & ~ (v1 = % 10.98/2.21 e1)) | ( ~ (v13 = e3) & ~ (v13 = e2) & ~ (v13 = e0) & ~ (v13 = e1)) % 10.98/2.21 | ( ~ (v13 = e3) & ~ (v10 = e3) & ~ (v7 = e3) & ~ (v0 = e3)) | ( ~ (v13 % 10.98/2.21 = e2) & ~ (v10 = e2) & ~ (v7 = e2) & ~ (v0 = e2)) | ( ~ (v13 = e0) % 10.98/2.21 & ~ (v10 = e0) & ~ (v7 = e0) & ~ (v0 = e0)) | ( ~ (v13 = e1) & ~ % 10.98/2.21 (v10 = e1) & ~ (v7 = e1) & ~ (v0 = e1)) | ( ~ (v12 = e3) & ~ (v12 = % 10.98/2.21 e2) & ~ (v12 = e0) & ~ (v12 = e1)) | ( ~ (v12 = e3) & ~ (v11 = e3) % 10.98/2.21 & ~ (v10 = e3) & ~ (v2 = e3)) | ( ~ (v12 = e3) & ~ (v9 = e3) & ~ (v6 % 10.98/2.21 = e3) & ~ (v3 = e3)) | ( ~ (v12 = e2) & ~ (v11 = e2) & ~ (v10 = e2) % 10.98/2.21 & ~ (v2 = e2)) | ( ~ (v12 = e2) & ~ (v9 = e2) & ~ (v6 = e2) & ~ (v3 % 10.98/2.21 = e2)) | ( ~ (v12 = e0) & ~ (v11 = e0) & ~ (v10 = e0) & ~ (v2 = % 10.98/2.21 e0)) | ( ~ (v12 = e0) & ~ (v9 = e0) & ~ (v6 = e0) & ~ (v3 = e0)) | % 10.98/2.21 ( ~ (v12 = e1) & ~ (v11 = e1) & ~ (v10 = e1) & ~ (v2 = e1)) | ( ~ (v12 % 10.98/2.21 = e1) & ~ (v9 = e1) & ~ (v6 = e1) & ~ (v3 = e1)) | ( ~ (v11 = e3) & % 10.98/2.21 ~ (v11 = e2) & ~ (v11 = e0) & ~ (v11 = e1)) | ( ~ (v10 = e3) & ~ % 10.98/2.21 (v10 = e2) & ~ (v10 = e0) & ~ (v10 = e1)) | ( ~ (v9 = e3) & ~ (v9 = % 10.98/2.21 e2) & ~ (v9 = e0) & ~ (v9 = e1)) | ( ~ (v9 = e3) & ~ (v8 = e3) & ~ % 10.98/2.21 (v7 = e3) & ~ (v1 = e3)) | ( ~ (v9 = e2) & ~ (v8 = e2) & ~ (v7 = e2) % 10.98/2.21 & ~ (v1 = e2)) | ( ~ (v9 = e0) & ~ (v8 = e0) & ~ (v7 = e0) & ~ (v1 = % 10.98/2.21 e0)) | ( ~ (v9 = e1) & ~ (v8 = e1) & ~ (v7 = e1) & ~ (v1 = e1)) | ( % 10.98/2.21 ~ (v8 = e3) & ~ (v8 = e2) & ~ (v8 = e0) & ~ (v8 = e1)) | ( ~ (v7 = % 10.98/2.21 e3) & ~ (v7 = e2) & ~ (v7 = e0) & ~ (v7 = e1)) | ( ~ (v6 = e3) & ~ % 10.98/2.21 (v6 = e2) & ~ (v6 = e0) & ~ (v6 = e1)) | ( ~ (v6 = e3) & ~ (v5 = e3) % 10.98/2.21 & ~ (v4 = e3) & ~ (v0 = e3)) | ( ~ (v6 = e2) & ~ (v5 = e2) & ~ (v4 = % 10.98/2.21 e2) & ~ (v0 = e2)) | ( ~ (v6 = e0) & ~ (v5 = e0) & ~ (v4 = e0) & ~ % 10.98/2.21 (v0 = e0)) | ( ~ (v6 = e1) & ~ (v5 = e1) & ~ (v4 = e1) & ~ (v0 = e1)) % 10.98/2.21 | ( ~ (v5 = e3) & ~ (v5 = e2) & ~ (v5 = e0) & ~ (v5 = e1)) | ( ~ (v4 = % 10.98/2.21 e3) & ~ (v4 = e2) & ~ (v4 = e0) & ~ (v4 = e1)) | ( ~ (v3 = e3) & ~ % 10.98/2.21 (v3 = e2) & ~ (v3 = e0) & ~ (v3 = e1)) | ( ~ (v2 = e3) & ~ (v2 = e2) % 10.98/2.21 & ~ (v2 = e0) & ~ (v2 = e1)) | ( ~ (v1 = e3) & ~ (v1 = e2) & ~ (v1 = % 10.98/2.21 e0) & ~ (v1 = e1)) | ( ~ (v0 = e3) & ~ (v0 = e2) & ~ (v0 = e0) & ~ % 10.98/2.21 (v0 = e1)) | ( ~ (unit = e3) & ~ (unit = e2) & ~ (unit = e0) & ~ % 10.98/2.21 (unit = e1)))) % 10.98/2.21 % 10.98/2.21 (function-axioms) % 10.98/2.22 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (op(v3, % 10.98/2.22 v2) = v1) | ~ (op(v3, v2) = v0)) % 10.98/2.22 % 10.98/2.22 Those formulas are unsatisfiable: % 10.98/2.22 --------------------------------- % 10.98/2.22 % 10.98/2.22 Begin of proof % 10.98/2.22 | % 10.98/2.22 | ALPHA: (ax1) implies: % 10.98/2.22 | (1) ~ (e0 = e1) % 10.98/2.22 | (2) ~ (e2 = e0) % 10.98/2.22 | (3) ~ (e3 = e0) % 10.98/2.22 | % 10.98/2.22 | ALPHA: (ax2) implies: % 10.98/2.22 | (4) op(e1, e1) = e3 % 10.98/2.22 | (5) op(e1, e0) = e1 % 10.98/2.22 | (6) op(e1, e2) = e0 % 10.98/2.22 | (7) op(e1, e3) = e2 % 10.98/2.22 | (8) op(e0, e1) = e1 % 10.98/2.22 | (9) op(e0, e0) = e0 % 10.98/2.22 | (10) op(e0, e2) = e2 % 10.98/2.22 | (11) op(e0, e3) = e3 % 10.98/2.22 | (12) op(e2, e1) = e0 % 10.98/2.22 | (13) op(e2, e0) = e2 % 10.98/2.22 | (14) op(e2, e2) = e3 % 10.98/2.22 | (15) op(e2, e3) = e1 % 10.98/2.22 | (16) op(e3, e1) = e2 % 10.98/2.22 | (17) op(e3, e0) = e3 % 10.98/2.22 | (18) op(e3, e2) = e1 % 10.98/2.22 | (19) op(e3, e3) = e0 % 10.98/2.22 | % 10.98/2.22 | ALPHA: (ax3) implies: % 10.98/2.22 | (20) unit = e0 % 10.98/2.22 | % 10.98/2.22 | ALPHA: (co1) implies: % 10.98/2.24 | (21) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 10.98/2.24 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : % 10.98/2.24 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: % 10.98/2.24 | $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ? % 10.98/2.24 | [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i] % 10.98/2.24 | : (op(unit, e3) = v22 & op(unit, e2) = v20 & op(unit, e0) = v16 & % 10.98/2.24 | op(unit, e1) = v18 & op(e3, unit) = v23 & op(e3, e3) = v3 & op(e3, % 10.98/2.24 | e2) = v15 & op(e3, e0) = v13 & op(e3, e1) = v14 & op(e2, unit) = % 10.98/2.24 | v21 & op(e2, e3) = v12 & op(e2, e2) = v2 & op(e2, e0) = v10 & op(e2, % 10.98/2.24 | e1) = v11 & op(e0, unit) = v17 & op(e0, e3) = v6 & op(e0, e2) = v5 % 10.98/2.24 | & op(e0, e0) = v0 & op(e0, e1) = v4 & op(e1, unit) = v19 & op(e1, % 10.98/2.24 | e3) = v9 & op(e1, e2) = v8 & op(e1, e0) = v7 & op(e1, e1) = v1 & % 10.98/2.24 | $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19) & $i(v18) & $i(v17) % 10.98/2.24 | & $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & % 10.98/2.24 | $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & % 10.98/2.24 | $i(v3) & $i(v2) & $i(v1) & $i(v0) & ( ~ (v23 = e3) | ~ (v22 = e3) | % 10.98/2.24 | ~ (v21 = e2) | ~ (v20 = e2) | ~ (v19 = e1) | ~ (v18 = e1) | ~ % 10.98/2.24 | (v17 = e0) | ~ (v16 = e0) | (v3 = e3 & v2 = e3 & v1 = e3 & v0 = % 10.98/2.24 | e3) | (v3 = e2 & v2 = e2 & v1 = e2 & v0 = e2) | (v3 = e0 & v2 = % 10.98/2.24 | e0 & v1 = e0 & v0 = e0) | (v3 = e1 & v2 = e1 & v1 = e1 & v0 = % 10.98/2.24 | e1) | ( ~ (v15 = e3) & ~ (v15 = e2) & ~ (v15 = e0) & ~ (v15 = % 10.98/2.24 | e1)) | ( ~ (v15 = e3) & ~ (v14 = e3) & ~ (v13 = e3) & ~ (v3 % 10.98/2.24 | = e3)) | ( ~ (v15 = e3) & ~ (v8 = e3) & ~ (v5 = e3) & ~ (v2 % 10.98/2.24 | = e3)) | ( ~ (v15 = e2) & ~ (v14 = e2) & ~ (v13 = e2) & ~ % 10.98/2.24 | (v3 = e2)) | ( ~ (v15 = e2) & ~ (v8 = e2) & ~ (v5 = e2) & ~ % 10.98/2.24 | (v2 = e2)) | ( ~ (v15 = e0) & ~ (v14 = e0) & ~ (v13 = e0) & ~ % 10.98/2.24 | (v3 = e0)) | ( ~ (v15 = e0) & ~ (v8 = e0) & ~ (v5 = e0) & ~ % 10.98/2.24 | (v2 = e0)) | ( ~ (v15 = e1) & ~ (v14 = e1) & ~ (v13 = e1) & ~ % 10.98/2.24 | (v3 = e1)) | ( ~ (v15 = e1) & ~ (v8 = e1) & ~ (v5 = e1) & ~ % 10.98/2.24 | (v2 = e1)) | ( ~ (v14 = e3) & ~ (v14 = e2) & ~ (v14 = e0) & ~ % 10.98/2.24 | (v14 = e1)) | ( ~ (v14 = e3) & ~ (v11 = e3) & ~ (v4 = e3) & ~ % 10.98/2.24 | (v1 = e3)) | ( ~ (v14 = e2) & ~ (v11 = e2) & ~ (v4 = e2) & ~ % 10.98/2.24 | (v1 = e2)) | ( ~ (v14 = e0) & ~ (v11 = e0) & ~ (v4 = e0) & ~ % 10.98/2.24 | (v1 = e0)) | ( ~ (v14 = e1) & ~ (v11 = e1) & ~ (v4 = e1) & ~ % 10.98/2.24 | (v1 = e1)) | ( ~ (v13 = e3) & ~ (v13 = e2) & ~ (v13 = e0) & ~ % 10.98/2.24 | (v13 = e1)) | ( ~ (v13 = e3) & ~ (v10 = e3) & ~ (v7 = e3) & ~ % 10.98/2.24 | (v0 = e3)) | ( ~ (v13 = e2) & ~ (v10 = e2) & ~ (v7 = e2) & ~ % 10.98/2.24 | (v0 = e2)) | ( ~ (v13 = e0) & ~ (v10 = e0) & ~ (v7 = e0) & ~ % 10.98/2.24 | (v0 = e0)) | ( ~ (v13 = e1) & ~ (v10 = e1) & ~ (v7 = e1) & ~ % 10.98/2.24 | (v0 = e1)) | ( ~ (v12 = e3) & ~ (v12 = e2) & ~ (v12 = e0) & ~ % 10.98/2.24 | (v12 = e1)) | ( ~ (v12 = e3) & ~ (v11 = e3) & ~ (v10 = e3) & % 10.98/2.24 | ~ (v2 = e3)) | ( ~ (v12 = e3) & ~ (v9 = e3) & ~ (v6 = e3) & ~ % 10.98/2.24 | (v3 = e3)) | ( ~ (v12 = e2) & ~ (v11 = e2) & ~ (v10 = e2) & ~ % 10.98/2.24 | (v2 = e2)) | ( ~ (v12 = e2) & ~ (v9 = e2) & ~ (v6 = e2) & ~ % 10.98/2.24 | (v3 = e2)) | ( ~ (v12 = e0) & ~ (v11 = e0) & ~ (v10 = e0) & ~ % 10.98/2.24 | (v2 = e0)) | ( ~ (v12 = e0) & ~ (v9 = e0) & ~ (v6 = e0) & ~ % 10.98/2.24 | (v3 = e0)) | ( ~ (v12 = e1) & ~ (v11 = e1) & ~ (v10 = e1) & ~ % 10.98/2.24 | (v2 = e1)) | ( ~ (v12 = e1) & ~ (v9 = e1) & ~ (v6 = e1) & ~ % 10.98/2.24 | (v3 = e1)) | ( ~ (v11 = e3) & ~ (v11 = e2) & ~ (v11 = e0) & ~ % 10.98/2.24 | (v11 = e1)) | ( ~ (v10 = e3) & ~ (v10 = e2) & ~ (v10 = e0) & % 10.98/2.24 | ~ (v10 = e1)) | ( ~ (v9 = e3) & ~ (v9 = e2) & ~ (v9 = e0) & ~ % 10.98/2.24 | (v9 = e1)) | ( ~ (v9 = e3) & ~ (v8 = e3) & ~ (v7 = e3) & ~ % 10.98/2.24 | (v1 = e3)) | ( ~ (v9 = e2) & ~ (v8 = e2) & ~ (v7 = e2) & ~ % 10.98/2.24 | (v1 = e2)) | ( ~ (v9 = e0) & ~ (v8 = e0) & ~ (v7 = e0) & ~ % 10.98/2.24 | (v1 = e0)) | ( ~ (v9 = e1) & ~ (v8 = e1) & ~ (v7 = e1) & ~ % 10.98/2.24 | (v1 = e1)) | ( ~ (v8 = e3) & ~ (v8 = e2) & ~ (v8 = e0) & ~ % 10.98/2.24 | (v8 = e1)) | ( ~ (v7 = e3) & ~ (v7 = e2) & ~ (v7 = e0) & ~ % 10.98/2.24 | (v7 = e1)) | ( ~ (v6 = e3) & ~ (v6 = e2) & ~ (v6 = e0) & ~ % 10.98/2.24 | (v6 = e1)) | ( ~ (v6 = e3) & ~ (v5 = e3) & ~ (v4 = e3) & ~ % 10.98/2.24 | (v0 = e3)) | ( ~ (v6 = e2) & ~ (v5 = e2) & ~ (v4 = e2) & ~ % 10.98/2.24 | (v0 = e2)) | ( ~ (v6 = e0) & ~ (v5 = e0) & ~ (v4 = e0) & ~ % 10.98/2.24 | (v0 = e0)) | ( ~ (v6 = e1) & ~ (v5 = e1) & ~ (v4 = e1) & ~ % 10.98/2.24 | (v0 = e1)) | ( ~ (v5 = e3) & ~ (v5 = e2) & ~ (v5 = e0) & ~ % 10.98/2.24 | (v5 = e1)) | ( ~ (v4 = e3) & ~ (v4 = e2) & ~ (v4 = e0) & ~ % 10.98/2.24 | (v4 = e1)) | ( ~ (v3 = e3) & ~ (v3 = e2) & ~ (v3 = e0) & ~ % 10.98/2.24 | (v3 = e1)) | ( ~ (v2 = e3) & ~ (v2 = e2) & ~ (v2 = e0) & ~ % 10.98/2.24 | (v2 = e1)) | ( ~ (v1 = e3) & ~ (v1 = e2) & ~ (v1 = e0) & ~ % 10.98/2.24 | (v1 = e1)) | ( ~ (v0 = e3) & ~ (v0 = e2) & ~ (v0 = e0) & ~ % 10.98/2.24 | (v0 = e1)) | ( ~ (unit = e3) & ~ (unit = e2) & ~ (unit = e0) & % 10.98/2.24 | ~ (unit = e1)))) % 10.98/2.24 | % 10.98/2.24 | DELTA: instantiating (21) with fresh symbols all_4_0, all_4_1, all_4_2, % 10.98/2.24 | all_4_3, all_4_4, all_4_5, all_4_6, all_4_7, all_4_8, all_4_9, % 10.98/2.24 | all_4_10, all_4_11, all_4_12, all_4_13, all_4_14, all_4_15, all_4_16, % 10.98/2.24 | all_4_17, all_4_18, all_4_19, all_4_20, all_4_21, all_4_22, all_4_23 % 10.98/2.24 | gives: % 10.98/2.25 | (22) op(unit, e3) = all_4_1 & op(unit, e2) = all_4_3 & op(unit, e0) = % 10.98/2.25 | all_4_7 & op(unit, e1) = all_4_5 & op(e3, unit) = all_4_0 & op(e3, e3) % 10.98/2.25 | = all_4_20 & op(e3, e2) = all_4_8 & op(e3, e0) = all_4_10 & op(e3, e1) % 10.98/2.25 | = all_4_9 & op(e2, unit) = all_4_2 & op(e2, e3) = all_4_11 & op(e2, % 10.98/2.25 | e2) = all_4_21 & op(e2, e0) = all_4_13 & op(e2, e1) = all_4_12 & % 10.98/2.25 | op(e0, unit) = all_4_6 & op(e0, e3) = all_4_17 & op(e0, e2) = all_4_18 % 10.98/2.25 | & op(e0, e0) = all_4_23 & op(e0, e1) = all_4_19 & op(e1, unit) = % 10.98/2.25 | all_4_4 & op(e1, e3) = all_4_14 & op(e1, e2) = all_4_15 & op(e1, e0) = % 10.98/2.25 | all_4_16 & op(e1, e1) = all_4_22 & $i(all_4_0) & $i(all_4_1) & % 10.98/2.25 | $i(all_4_2) & $i(all_4_3) & $i(all_4_4) & $i(all_4_5) & $i(all_4_6) & % 10.98/2.25 | $i(all_4_7) & $i(all_4_8) & $i(all_4_9) & $i(all_4_10) & $i(all_4_11) % 10.98/2.25 | & $i(all_4_12) & $i(all_4_13) & $i(all_4_14) & $i(all_4_15) & % 10.98/2.25 | $i(all_4_16) & $i(all_4_17) & $i(all_4_18) & $i(all_4_19) & % 10.98/2.25 | $i(all_4_20) & $i(all_4_21) & $i(all_4_22) & $i(all_4_23) & ( ~ % 10.98/2.25 | (all_4_0 = e3) | ~ (all_4_1 = e3) | ~ (all_4_2 = e2) | ~ (all_4_3 % 10.98/2.25 | = e2) | ~ (all_4_4 = e1) | ~ (all_4_5 = e1) | ~ (all_4_6 = e0) % 10.98/2.25 | | ~ (all_4_7 = e0) | (all_4_20 = e3 & all_4_21 = e3 & all_4_22 = e3 % 10.98/2.25 | & all_4_23 = e3) | (all_4_20 = e2 & all_4_21 = e2 & all_4_22 = e2 % 10.98/2.25 | & all_4_23 = e2) | (all_4_20 = e0 & all_4_21 = e0 & all_4_22 = e0 % 10.98/2.25 | & all_4_23 = e0) | (all_4_20 = e1 & all_4_21 = e1 & all_4_22 = e1 % 10.98/2.25 | & all_4_23 = e1) | ( ~ (all_4_8 = e3) & ~ (all_4_8 = e2) & ~ % 10.98/2.25 | (all_4_8 = e0) & ~ (all_4_8 = e1)) | ( ~ (all_4_8 = e3) & ~ % 10.98/2.25 | (all_4_9 = e3) & ~ (all_4_10 = e3) & ~ (all_4_20 = e3)) | ( ~ % 10.98/2.25 | (all_4_8 = e3) & ~ (all_4_15 = e3) & ~ (all_4_18 = e3) & ~ % 10.98/2.25 | (all_4_21 = e3)) | ( ~ (all_4_8 = e2) & ~ (all_4_9 = e2) & ~ % 10.98/2.25 | (all_4_10 = e2) & ~ (all_4_20 = e2)) | ( ~ (all_4_8 = e2) & ~ % 10.98/2.25 | (all_4_15 = e2) & ~ (all_4_18 = e2) & ~ (all_4_21 = e2)) | ( ~ % 10.98/2.25 | (all_4_8 = e0) & ~ (all_4_9 = e0) & ~ (all_4_10 = e0) & ~ % 10.98/2.25 | (all_4_20 = e0)) | ( ~ (all_4_8 = e0) & ~ (all_4_15 = e0) & ~ % 10.98/2.25 | (all_4_18 = e0) & ~ (all_4_21 = e0)) | ( ~ (all_4_8 = e1) & ~ % 10.98/2.25 | (all_4_9 = e1) & ~ (all_4_10 = e1) & ~ (all_4_20 = e1)) | ( ~ % 10.98/2.25 | (all_4_8 = e1) & ~ (all_4_15 = e1) & ~ (all_4_18 = e1) & ~ % 10.98/2.25 | (all_4_21 = e1)) | ( ~ (all_4_9 = e3) & ~ (all_4_9 = e2) & ~ % 10.98/2.25 | (all_4_9 = e0) & ~ (all_4_9 = e1)) | ( ~ (all_4_9 = e3) & ~ % 10.98/2.25 | (all_4_12 = e3) & ~ (all_4_19 = e3) & ~ (all_4_22 = e3)) | ( ~ % 10.98/2.25 | (all_4_9 = e2) & ~ (all_4_12 = e2) & ~ (all_4_19 = e2) & ~ % 10.98/2.25 | (all_4_22 = e2)) | ( ~ (all_4_9 = e0) & ~ (all_4_12 = e0) & ~ % 10.98/2.25 | (all_4_19 = e0) & ~ (all_4_22 = e0)) | ( ~ (all_4_9 = e1) & ~ % 10.98/2.25 | (all_4_12 = e1) & ~ (all_4_19 = e1) & ~ (all_4_22 = e1)) | ( ~ % 10.98/2.26 | (all_4_10 = e3) & ~ (all_4_10 = e2) & ~ (all_4_10 = e0) & ~ % 10.98/2.26 | (all_4_10 = e1)) | ( ~ (all_4_10 = e3) & ~ (all_4_13 = e3) & ~ % 10.98/2.26 | (all_4_16 = e3) & ~ (all_4_23 = e3)) | ( ~ (all_4_10 = e2) & ~ % 10.98/2.26 | (all_4_13 = e2) & ~ (all_4_16 = e2) & ~ (all_4_23 = e2)) | ( ~ % 10.98/2.26 | (all_4_10 = e0) & ~ (all_4_13 = e0) & ~ (all_4_16 = e0) & ~ % 10.98/2.26 | (all_4_23 = e0)) | ( ~ (all_4_10 = e1) & ~ (all_4_13 = e1) & ~ % 10.98/2.26 | (all_4_16 = e1) & ~ (all_4_23 = e1)) | ( ~ (all_4_11 = e3) & ~ % 10.98/2.26 | (all_4_11 = e2) & ~ (all_4_11 = e0) & ~ (all_4_11 = e1)) | ( ~ % 10.98/2.26 | (all_4_11 = e3) & ~ (all_4_12 = e3) & ~ (all_4_13 = e3) & ~ % 10.98/2.26 | (all_4_21 = e3)) | ( ~ (all_4_11 = e3) & ~ (all_4_14 = e3) & ~ % 10.98/2.26 | (all_4_17 = e3) & ~ (all_4_20 = e3)) | ( ~ (all_4_11 = e2) & ~ % 10.98/2.26 | (all_4_12 = e2) & ~ (all_4_13 = e2) & ~ (all_4_21 = e2)) | ( ~ % 10.98/2.26 | (all_4_11 = e2) & ~ (all_4_14 = e2) & ~ (all_4_17 = e2) & ~ % 10.98/2.26 | (all_4_20 = e2)) | ( ~ (all_4_11 = e0) & ~ (all_4_12 = e0) & ~ % 10.98/2.26 | (all_4_13 = e0) & ~ (all_4_21 = e0)) | ( ~ (all_4_11 = e0) & ~ % 10.98/2.26 | (all_4_14 = e0) & ~ (all_4_17 = e0) & ~ (all_4_20 = e0)) | ( ~ % 10.98/2.26 | (all_4_11 = e1) & ~ (all_4_12 = e1) & ~ (all_4_13 = e1) & ~ % 10.98/2.26 | (all_4_21 = e1)) | ( ~ (all_4_11 = e1) & ~ (all_4_14 = e1) & ~ % 10.98/2.26 | (all_4_17 = e1) & ~ (all_4_20 = e1)) | ( ~ (all_4_12 = e3) & ~ % 10.98/2.26 | (all_4_12 = e2) & ~ (all_4_12 = e0) & ~ (all_4_12 = e1)) | ( ~ % 10.98/2.26 | (all_4_13 = e3) & ~ (all_4_13 = e2) & ~ (all_4_13 = e0) & ~ % 10.98/2.26 | (all_4_13 = e1)) | ( ~ (all_4_14 = e3) & ~ (all_4_14 = e2) & ~ % 10.98/2.26 | (all_4_14 = e0) & ~ (all_4_14 = e1)) | ( ~ (all_4_14 = e3) & ~ % 10.98/2.26 | (all_4_15 = e3) & ~ (all_4_16 = e3) & ~ (all_4_22 = e3)) | ( ~ % 10.98/2.26 | (all_4_14 = e2) & ~ (all_4_15 = e2) & ~ (all_4_16 = e2) & ~ % 10.98/2.26 | (all_4_22 = e2)) | ( ~ (all_4_14 = e0) & ~ (all_4_15 = e0) & ~ % 10.98/2.26 | (all_4_16 = e0) & ~ (all_4_22 = e0)) | ( ~ (all_4_14 = e1) & ~ % 10.98/2.26 | (all_4_15 = e1) & ~ (all_4_16 = e1) & ~ (all_4_22 = e1)) | ( ~ % 10.98/2.26 | (all_4_15 = e3) & ~ (all_4_15 = e2) & ~ (all_4_15 = e0) & ~ % 10.98/2.26 | (all_4_15 = e1)) | ( ~ (all_4_16 = e3) & ~ (all_4_16 = e2) & ~ % 10.98/2.26 | (all_4_16 = e0) & ~ (all_4_16 = e1)) | ( ~ (all_4_17 = e3) & ~ % 10.98/2.26 | (all_4_17 = e2) & ~ (all_4_17 = e0) & ~ (all_4_17 = e1)) | ( ~ % 10.98/2.26 | (all_4_17 = e3) & ~ (all_4_18 = e3) & ~ (all_4_19 = e3) & ~ % 10.98/2.26 | (all_4_23 = e3)) | ( ~ (all_4_17 = e2) & ~ (all_4_18 = e2) & ~ % 10.98/2.26 | (all_4_19 = e2) & ~ (all_4_23 = e2)) | ( ~ (all_4_17 = e0) & ~ % 10.98/2.26 | (all_4_18 = e0) & ~ (all_4_19 = e0) & ~ (all_4_23 = e0)) | ( ~ % 10.98/2.26 | (all_4_17 = e1) & ~ (all_4_18 = e1) & ~ (all_4_19 = e1) & ~ % 10.98/2.26 | (all_4_23 = e1)) | ( ~ (all_4_18 = e3) & ~ (all_4_18 = e2) & ~ % 10.98/2.26 | (all_4_18 = e0) & ~ (all_4_18 = e1)) | ( ~ (all_4_19 = e3) & ~ % 10.98/2.26 | (all_4_19 = e2) & ~ (all_4_19 = e0) & ~ (all_4_19 = e1)) | ( ~ % 10.98/2.26 | (all_4_20 = e3) & ~ (all_4_20 = e2) & ~ (all_4_20 = e0) & ~ % 10.98/2.26 | (all_4_20 = e1)) | ( ~ (all_4_21 = e3) & ~ (all_4_21 = e2) & ~ % 10.98/2.26 | (all_4_21 = e0) & ~ (all_4_21 = e1)) | ( ~ (all_4_22 = e3) & ~ % 10.98/2.26 | (all_4_22 = e2) & ~ (all_4_22 = e0) & ~ (all_4_22 = e1)) | ( ~ % 10.98/2.26 | (all_4_23 = e3) & ~ (all_4_23 = e2) & ~ (all_4_23 = e0) & ~ % 10.98/2.26 | (all_4_23 = e1)) | ( ~ (unit = e3) & ~ (unit = e2) & ~ (unit = % 10.98/2.26 | e0) & ~ (unit = e1))) % 10.98/2.26 | % 10.98/2.26 | ALPHA: (22) implies: % 10.98/2.26 | (23) op(e1, e1) = all_4_22 % 10.98/2.26 | (24) op(e1, e0) = all_4_16 % 10.98/2.26 | (25) op(e1, e2) = all_4_15 % 10.98/2.26 | (26) op(e1, e3) = all_4_14 % 10.98/2.26 | (27) op(e1, unit) = all_4_4 % 10.98/2.26 | (28) op(e0, e1) = all_4_19 % 10.98/2.26 | (29) op(e0, e0) = all_4_23 % 10.98/2.26 | (30) op(e0, e2) = all_4_18 % 10.98/2.26 | (31) op(e0, e3) = all_4_17 % 10.98/2.26 | (32) op(e0, unit) = all_4_6 % 10.98/2.26 | (33) op(e2, e1) = all_4_12 % 10.98/2.26 | (34) op(e2, e0) = all_4_13 % 10.98/2.26 | (35) op(e2, e2) = all_4_21 % 10.98/2.26 | (36) op(e2, e3) = all_4_11 % 10.98/2.26 | (37) op(e2, unit) = all_4_2 % 10.98/2.26 | (38) op(e3, e1) = all_4_9 % 10.98/2.26 | (39) op(e3, e0) = all_4_10 % 10.98/2.26 | (40) op(e3, e2) = all_4_8 % 10.98/2.26 | (41) op(e3, e3) = all_4_20 % 10.98/2.26 | (42) op(e3, unit) = all_4_0 % 10.98/2.26 | (43) op(unit, e1) = all_4_5 % 10.98/2.26 | (44) op(unit, e0) = all_4_7 % 10.98/2.26 | (45) op(unit, e2) = all_4_3 % 10.98/2.26 | (46) op(unit, e3) = all_4_1 % 10.98/2.27 | (47) ~ (all_4_0 = e3) | ~ (all_4_1 = e3) | ~ (all_4_2 = e2) | ~ % 10.98/2.27 | (all_4_3 = e2) | ~ (all_4_4 = e1) | ~ (all_4_5 = e1) | ~ (all_4_6 = % 10.98/2.27 | e0) | ~ (all_4_7 = e0) | (all_4_20 = e3 & all_4_21 = e3 & all_4_22 % 10.98/2.27 | = e3 & all_4_23 = e3) | (all_4_20 = e2 & all_4_21 = e2 & all_4_22 = % 10.98/2.27 | e2 & all_4_23 = e2) | (all_4_20 = e0 & all_4_21 = e0 & all_4_22 = e0 % 10.98/2.27 | & all_4_23 = e0) | (all_4_20 = e1 & all_4_21 = e1 & all_4_22 = e1 & % 10.98/2.27 | all_4_23 = e1) | ( ~ (all_4_8 = e3) & ~ (all_4_8 = e2) & ~ % 10.98/2.27 | (all_4_8 = e0) & ~ (all_4_8 = e1)) | ( ~ (all_4_8 = e3) & ~ % 10.98/2.27 | (all_4_9 = e3) & ~ (all_4_10 = e3) & ~ (all_4_20 = e3)) | ( ~ % 10.98/2.27 | (all_4_8 = e3) & ~ (all_4_15 = e3) & ~ (all_4_18 = e3) & ~ % 10.98/2.27 | (all_4_21 = e3)) | ( ~ (all_4_8 = e2) & ~ (all_4_9 = e2) & ~ % 10.98/2.27 | (all_4_10 = e2) & ~ (all_4_20 = e2)) | ( ~ (all_4_8 = e2) & ~ % 10.98/2.27 | (all_4_15 = e2) & ~ (all_4_18 = e2) & ~ (all_4_21 = e2)) | ( ~ % 10.98/2.27 | (all_4_8 = e0) & ~ (all_4_9 = e0) & ~ (all_4_10 = e0) & ~ % 10.98/2.27 | (all_4_20 = e0)) | ( ~ (all_4_8 = e0) & ~ (all_4_15 = e0) & ~ % 10.98/2.27 | (all_4_18 = e0) & ~ (all_4_21 = e0)) | ( ~ (all_4_8 = e1) & ~ % 10.98/2.27 | (all_4_9 = e1) & ~ (all_4_10 = e1) & ~ (all_4_20 = e1)) | ( ~ % 10.98/2.27 | (all_4_8 = e1) & ~ (all_4_15 = e1) & ~ (all_4_18 = e1) & ~ % 10.98/2.27 | (all_4_21 = e1)) | ( ~ (all_4_9 = e3) & ~ (all_4_9 = e2) & ~ % 10.98/2.27 | (all_4_9 = e0) & ~ (all_4_9 = e1)) | ( ~ (all_4_9 = e3) & ~ % 10.98/2.27 | (all_4_12 = e3) & ~ (all_4_19 = e3) & ~ (all_4_22 = e3)) | ( ~ % 10.98/2.27 | (all_4_9 = e2) & ~ (all_4_12 = e2) & ~ (all_4_19 = e2) & ~ % 10.98/2.27 | (all_4_22 = e2)) | ( ~ (all_4_9 = e0) & ~ (all_4_12 = e0) & ~ % 10.98/2.27 | (all_4_19 = e0) & ~ (all_4_22 = e0)) | ( ~ (all_4_9 = e1) & ~ % 10.98/2.27 | (all_4_12 = e1) & ~ (all_4_19 = e1) & ~ (all_4_22 = e1)) | ( ~ % 10.98/2.27 | (all_4_10 = e3) & ~ (all_4_10 = e2) & ~ (all_4_10 = e0) & ~ % 10.98/2.27 | (all_4_10 = e1)) | ( ~ (all_4_10 = e3) & ~ (all_4_13 = e3) & ~ % 10.98/2.27 | (all_4_16 = e3) & ~ (all_4_23 = e3)) | ( ~ (all_4_10 = e2) & ~ % 10.98/2.27 | (all_4_13 = e2) & ~ (all_4_16 = e2) & ~ (all_4_23 = e2)) | ( ~ % 10.98/2.27 | (all_4_10 = e0) & ~ (all_4_13 = e0) & ~ (all_4_16 = e0) & ~ % 10.98/2.27 | (all_4_23 = e0)) | ( ~ (all_4_10 = e1) & ~ (all_4_13 = e1) & ~ % 10.98/2.27 | (all_4_16 = e1) & ~ (all_4_23 = e1)) | ( ~ (all_4_11 = e3) & ~ % 10.98/2.27 | (all_4_11 = e2) & ~ (all_4_11 = e0) & ~ (all_4_11 = e1)) | ( ~ % 10.98/2.27 | (all_4_11 = e3) & ~ (all_4_12 = e3) & ~ (all_4_13 = e3) & ~ % 10.98/2.27 | (all_4_21 = e3)) | ( ~ (all_4_11 = e3) & ~ (all_4_14 = e3) & ~ % 10.98/2.27 | (all_4_17 = e3) & ~ (all_4_20 = e3)) | ( ~ (all_4_11 = e2) & ~ % 10.98/2.27 | (all_4_12 = e2) & ~ (all_4_13 = e2) & ~ (all_4_21 = e2)) | ( ~ % 10.98/2.27 | (all_4_11 = e2) & ~ (all_4_14 = e2) & ~ (all_4_17 = e2) & ~ % 10.98/2.27 | (all_4_20 = e2)) | ( ~ (all_4_11 = e0) & ~ (all_4_12 = e0) & ~ % 10.98/2.27 | (all_4_13 = e0) & ~ (all_4_21 = e0)) | ( ~ (all_4_11 = e0) & ~ % 10.98/2.27 | (all_4_14 = e0) & ~ (all_4_17 = e0) & ~ (all_4_20 = e0)) | ( ~ % 10.98/2.27 | (all_4_11 = e1) & ~ (all_4_12 = e1) & ~ (all_4_13 = e1) & ~ % 10.98/2.27 | (all_4_21 = e1)) | ( ~ (all_4_11 = e1) & ~ (all_4_14 = e1) & ~ % 10.98/2.27 | (all_4_17 = e1) & ~ (all_4_20 = e1)) | ( ~ (all_4_12 = e3) & ~ % 10.98/2.27 | (all_4_12 = e2) & ~ (all_4_12 = e0) & ~ (all_4_12 = e1)) | ( ~ % 10.98/2.27 | (all_4_13 = e3) & ~ (all_4_13 = e2) & ~ (all_4_13 = e0) & ~ % 10.98/2.27 | (all_4_13 = e1)) | ( ~ (all_4_14 = e3) & ~ (all_4_14 = e2) & ~ % 10.98/2.27 | (all_4_14 = e0) & ~ (all_4_14 = e1)) | ( ~ (all_4_14 = e3) & ~ % 10.98/2.27 | (all_4_15 = e3) & ~ (all_4_16 = e3) & ~ (all_4_22 = e3)) | ( ~ % 10.98/2.27 | (all_4_14 = e2) & ~ (all_4_15 = e2) & ~ (all_4_16 = e2) & ~ % 10.98/2.27 | (all_4_22 = e2)) | ( ~ (all_4_14 = e0) & ~ (all_4_15 = e0) & ~ % 10.98/2.27 | (all_4_16 = e0) & ~ (all_4_22 = e0)) | ( ~ (all_4_14 = e1) & ~ % 10.98/2.27 | (all_4_15 = e1) & ~ (all_4_16 = e1) & ~ (all_4_22 = e1)) | ( ~ % 10.98/2.27 | (all_4_15 = e3) & ~ (all_4_15 = e2) & ~ (all_4_15 = e0) & ~ % 10.98/2.27 | (all_4_15 = e1)) | ( ~ (all_4_16 = e3) & ~ (all_4_16 = e2) & ~ % 10.98/2.27 | (all_4_16 = e0) & ~ (all_4_16 = e1)) | ( ~ (all_4_17 = e3) & ~ % 10.98/2.27 | (all_4_17 = e2) & ~ (all_4_17 = e0) & ~ (all_4_17 = e1)) | ( ~ % 10.98/2.27 | (all_4_17 = e3) & ~ (all_4_18 = e3) & ~ (all_4_19 = e3) & ~ % 10.98/2.27 | (all_4_23 = e3)) | ( ~ (all_4_17 = e2) & ~ (all_4_18 = e2) & ~ % 10.98/2.27 | (all_4_19 = e2) & ~ (all_4_23 = e2)) | ( ~ (all_4_17 = e0) & ~ % 10.98/2.27 | (all_4_18 = e0) & ~ (all_4_19 = e0) & ~ (all_4_23 = e0)) | ( ~ % 10.98/2.27 | (all_4_17 = e1) & ~ (all_4_18 = e1) & ~ (all_4_19 = e1) & ~ % 10.98/2.27 | (all_4_23 = e1)) | ( ~ (all_4_18 = e3) & ~ (all_4_18 = e2) & ~ % 11.30/2.27 | (all_4_18 = e0) & ~ (all_4_18 = e1)) | ( ~ (all_4_19 = e3) & ~ % 11.30/2.27 | (all_4_19 = e2) & ~ (all_4_19 = e0) & ~ (all_4_19 = e1)) | ( ~ % 11.30/2.27 | (all_4_20 = e3) & ~ (all_4_20 = e2) & ~ (all_4_20 = e0) & ~ % 11.30/2.27 | (all_4_20 = e1)) | ( ~ (all_4_21 = e3) & ~ (all_4_21 = e2) & ~ % 11.30/2.27 | (all_4_21 = e0) & ~ (all_4_21 = e1)) | ( ~ (all_4_22 = e3) & ~ % 11.30/2.27 | (all_4_22 = e2) & ~ (all_4_22 = e0) & ~ (all_4_22 = e1)) | ( ~ % 11.30/2.27 | (all_4_23 = e3) & ~ (all_4_23 = e2) & ~ (all_4_23 = e0) & ~ % 11.30/2.27 | (all_4_23 = e1)) | ( ~ (unit = e3) & ~ (unit = e2) & ~ (unit = e0) % 11.30/2.27 | & ~ (unit = e1)) % 11.30/2.27 | % 11.30/2.27 | REDUCE: (20), (46) imply: % 11.30/2.27 | (48) op(e0, e3) = all_4_1 % 11.30/2.27 | % 11.30/2.27 | REDUCE: (20), (45) imply: % 11.30/2.27 | (49) op(e0, e2) = all_4_3 % 11.30/2.27 | % 11.30/2.27 | REDUCE: (20), (44) imply: % 11.30/2.27 | (50) op(e0, e0) = all_4_7 % 11.30/2.27 | % 11.30/2.28 | REDUCE: (20), (43) imply: % 11.30/2.28 | (51) op(e0, e1) = all_4_5 % 11.30/2.28 | % 11.30/2.28 | REDUCE: (20), (42) imply: % 11.30/2.28 | (52) op(e3, e0) = all_4_0 % 11.30/2.28 | % 11.30/2.28 | REDUCE: (20), (37) imply: % 11.30/2.28 | (53) op(e2, e0) = all_4_2 % 11.30/2.28 | % 11.30/2.28 | REDUCE: (20), (32) imply: % 11.30/2.28 | (54) op(e0, e0) = all_4_6 % 11.30/2.28 | % 11.30/2.28 | REDUCE: (20), (27) imply: % 11.30/2.28 | (55) op(e1, e0) = all_4_4 % 11.30/2.28 | % 11.30/2.28 | GROUND_INST: instantiating (function-axioms) with e3, all_4_22, e1, e1, % 11.30/2.28 | simplifying with (4), (23) gives: % 11.30/2.28 | (56) all_4_22 = e3 % 11.30/2.28 | % 11.30/2.28 | GROUND_INST: instantiating (function-axioms) with all_4_16, all_4_4, e0, e1, % 11.30/2.28 | simplifying with (24), (55) gives: % 11.30/2.28 | (57) all_4_4 = all_4_16 % 11.30/2.28 | % 11.30/2.28 | GROUND_INST: instantiating (function-axioms) with e1, all_4_4, e0, e1, % 11.30/2.28 | simplifying with (5), (55) gives: % 11.30/2.28 | (58) all_4_4 = e1 % 11.30/2.28 | % 11.30/2.28 | GROUND_INST: instantiating (function-axioms) with e0, all_4_15, e2, e1, % 11.30/2.28 | simplifying with (6), (25) gives: % 11.30/2.28 | (59) all_4_15 = e0 % 11.30/2.28 | % 11.30/2.28 | GROUND_INST: instantiating (function-axioms) with e2, all_4_14, e3, e1, % 11.30/2.28 | simplifying with (7), (26) gives: % 11.30/2.28 | (60) all_4_14 = e2 % 11.30/2.28 | % 11.30/2.28 | GROUND_INST: instantiating (function-axioms) with all_4_19, all_4_5, e1, e0, % 11.30/2.28 | simplifying with (28), (51) gives: % 11.30/2.28 | (61) all_4_5 = all_4_19 % 11.30/2.28 | % 11.30/2.28 | GROUND_INST: instantiating (function-axioms) with e1, all_4_5, e1, e0, % 11.30/2.28 | simplifying with (8), (51) gives: % 11.30/2.28 | (62) all_4_5 = e1 % 11.30/2.28 | % 11.30/2.28 | GROUND_INST: instantiating (function-axioms) with all_4_7, all_4_6, e0, e0, % 11.30/2.28 | simplifying with (50), (54) gives: % 11.30/2.28 | (63) all_4_6 = all_4_7 % 11.30/2.28 | % 11.30/2.28 | GROUND_INST: instantiating (function-axioms) with all_4_23, all_4_6, e0, e0, % 11.30/2.28 | simplifying with (29), (54) gives: % 11.30/2.28 | (64) all_4_6 = all_4_23 % 11.30/2.28 | % 11.30/2.28 | GROUND_INST: instantiating (function-axioms) with e0, all_4_6, e0, e0, % 11.30/2.28 | simplifying with (9), (54) gives: % 11.30/2.28 | (65) all_4_6 = e0 % 11.30/2.28 | % 11.30/2.28 | GROUND_INST: instantiating (function-axioms) with all_4_18, all_4_3, e2, e0, % 11.30/2.28 | simplifying with (30), (49) gives: % 11.30/2.28 | (66) all_4_3 = all_4_18 % 11.30/2.28 | % 11.30/2.28 | GROUND_INST: instantiating (function-axioms) with e2, all_4_3, e2, e0, % 11.30/2.28 | simplifying with (10), (49) gives: % 11.30/2.28 | (67) all_4_3 = e2 % 11.30/2.28 | % 11.30/2.28 | GROUND_INST: instantiating (function-axioms) with all_4_17, all_4_1, e3, e0, % 11.30/2.28 | simplifying with (31), (48) gives: % 11.30/2.28 | (68) all_4_1 = all_4_17 % 11.30/2.28 | % 11.30/2.28 | GROUND_INST: instantiating (function-axioms) with e3, all_4_1, e3, e0, % 11.30/2.28 | simplifying with (11), (48) gives: % 11.30/2.28 | (69) all_4_1 = e3 % 11.30/2.28 | % 11.30/2.28 | GROUND_INST: instantiating (function-axioms) with e0, all_4_12, e1, e2, % 11.30/2.28 | simplifying with (12), (33) gives: % 11.30/2.28 | (70) all_4_12 = e0 % 11.30/2.28 | % 11.30/2.28 | GROUND_INST: instantiating (function-axioms) with all_4_13, all_4_2, e0, e2, % 11.30/2.28 | simplifying with (34), (53) gives: % 11.30/2.28 | (71) all_4_2 = all_4_13 % 11.30/2.28 | % 11.30/2.28 | GROUND_INST: instantiating (function-axioms) with e2, all_4_2, e0, e2, % 11.30/2.28 | simplifying with (13), (53) gives: % 11.30/2.28 | (72) all_4_2 = e2 % 11.30/2.28 | % 11.30/2.28 | GROUND_INST: instantiating (function-axioms) with e3, all_4_21, e2, e2, % 11.30/2.28 | simplifying with (14), (35) gives: % 11.30/2.28 | (73) all_4_21 = e3 % 11.30/2.29 | % 11.30/2.29 | GROUND_INST: instantiating (function-axioms) with e1, all_4_11, e3, e2, % 11.30/2.29 | simplifying with (15), (36) gives: % 11.30/2.29 | (74) all_4_11 = e1 % 11.30/2.29 | % 11.30/2.29 | GROUND_INST: instantiating (function-axioms) with e2, all_4_9, e1, e3, % 11.30/2.29 | simplifying with (16), (38) gives: % 11.30/2.29 | (75) all_4_9 = e2 % 11.30/2.29 | % 11.30/2.29 | GROUND_INST: instantiating (function-axioms) with all_4_10, all_4_0, e0, e3, % 11.30/2.29 | simplifying with (39), (52) gives: % 11.30/2.29 | (76) all_4_0 = all_4_10 % 11.30/2.29 | % 11.30/2.29 | GROUND_INST: instantiating (function-axioms) with e3, all_4_0, e0, e3, % 11.30/2.29 | simplifying with (17), (52) gives: % 11.30/2.29 | (77) all_4_0 = e3 % 11.30/2.29 | % 11.30/2.29 | GROUND_INST: instantiating (function-axioms) with e1, all_4_8, e2, e3, % 11.30/2.29 | simplifying with (18), (40) gives: % 11.30/2.29 | (78) all_4_8 = e1 % 11.30/2.29 | % 11.30/2.29 | GROUND_INST: instantiating (function-axioms) with e0, all_4_20, e3, e3, % 11.30/2.29 | simplifying with (19), (41) gives: % 11.30/2.29 | (79) all_4_20 = e0 % 11.30/2.29 | % 11.30/2.29 | COMBINE_EQS: (76), (77) imply: % 11.30/2.29 | (80) all_4_10 = e3 % 11.30/2.29 | % 11.30/2.29 | COMBINE_EQS: (68), (69) imply: % 11.30/2.29 | (81) all_4_17 = e3 % 11.30/2.29 | % 11.30/2.29 | SIMP: (81) implies: % 11.30/2.29 | (82) all_4_17 = e3 % 11.30/2.29 | % 11.30/2.29 | COMBINE_EQS: (71), (72) imply: % 11.30/2.29 | (83) all_4_13 = e2 % 11.30/2.29 | % 11.30/2.29 | SIMP: (83) implies: % 11.30/2.29 | (84) all_4_13 = e2 % 11.30/2.29 | % 11.30/2.29 | COMBINE_EQS: (66), (67) imply: % 11.30/2.29 | (85) all_4_18 = e2 % 11.30/2.29 | % 11.30/2.29 | SIMP: (85) implies: % 11.30/2.29 | (86) all_4_18 = e2 % 11.30/2.29 | % 11.30/2.29 | COMBINE_EQS: (57), (58) imply: % 11.30/2.29 | (87) all_4_16 = e1 % 11.30/2.29 | % 11.30/2.29 | SIMP: (87) implies: % 11.30/2.29 | (88) all_4_16 = e1 % 11.30/2.29 | % 11.30/2.29 | COMBINE_EQS: (61), (62) imply: % 11.30/2.29 | (89) all_4_19 = e1 % 11.30/2.29 | % 11.30/2.29 | COMBINE_EQS: (63), (65) imply: % 11.30/2.29 | (90) all_4_7 = e0 % 11.30/2.29 | % 11.30/2.29 | COMBINE_EQS: (63), (64) imply: % 11.30/2.29 | (91) all_4_7 = all_4_23 % 11.30/2.29 | % 11.30/2.29 | COMBINE_EQS: (90), (91) imply: % 11.30/2.29 | (92) all_4_23 = e0 % 11.30/2.29 | % 11.30/2.29 | SIMP: (92) implies: % 11.30/2.29 | (93) all_4_23 = e0 % 11.30/2.29 | % 11.30/2.29 | BETA: splitting (47) gives: % 11.30/2.29 | % 11.30/2.29 | Case 1: % 11.30/2.29 | | % 11.30/2.29 | | (94) ~ (all_4_6 = e0) % 11.30/2.29 | | % 11.30/2.29 | | REDUCE: (65), (94) imply: % 11.30/2.29 | | (95) $false % 11.30/2.29 | | % 11.30/2.29 | | CLOSE: (95) is inconsistent. % 11.30/2.29 | | % 11.30/2.29 | Case 2: % 11.30/2.29 | | % 11.30/2.30 | | (96) ~ (all_4_0 = e3) | ~ (all_4_1 = e3) | ~ (all_4_2 = e2) | ~ % 11.30/2.30 | | (all_4_3 = e2) | ~ (all_4_4 = e1) | ~ (all_4_5 = e1) | ~ (all_4_7 % 11.30/2.30 | | = e0) | (all_4_20 = e3 & all_4_21 = e3 & all_4_22 = e3 & all_4_23 % 11.30/2.30 | | = e3) | (all_4_20 = e2 & all_4_21 = e2 & all_4_22 = e2 & all_4_23 % 11.30/2.30 | | = e2) | (all_4_20 = e0 & all_4_21 = e0 & all_4_22 = e0 & all_4_23 % 11.30/2.30 | | = e0) | (all_4_20 = e1 & all_4_21 = e1 & all_4_22 = e1 & all_4_23 % 11.30/2.30 | | = e1) | ( ~ (all_4_8 = e3) & ~ (all_4_8 = e2) & ~ (all_4_8 = e0) % 11.30/2.30 | | & ~ (all_4_8 = e1)) | ( ~ (all_4_8 = e3) & ~ (all_4_9 = e3) & ~ % 11.30/2.30 | | (all_4_10 = e3) & ~ (all_4_20 = e3)) | ( ~ (all_4_8 = e3) & ~ % 11.30/2.30 | | (all_4_15 = e3) & ~ (all_4_18 = e3) & ~ (all_4_21 = e3)) | ( ~ % 11.30/2.30 | | (all_4_8 = e2) & ~ (all_4_9 = e2) & ~ (all_4_10 = e2) & ~ % 11.30/2.30 | | (all_4_20 = e2)) | ( ~ (all_4_8 = e2) & ~ (all_4_15 = e2) & ~ % 11.30/2.30 | | (all_4_18 = e2) & ~ (all_4_21 = e2)) | ( ~ (all_4_8 = e0) & ~ % 11.30/2.30 | | (all_4_9 = e0) & ~ (all_4_10 = e0) & ~ (all_4_20 = e0)) | ( ~ % 11.30/2.30 | | (all_4_8 = e0) & ~ (all_4_15 = e0) & ~ (all_4_18 = e0) & ~ % 11.30/2.30 | | (all_4_21 = e0)) | ( ~ (all_4_8 = e1) & ~ (all_4_9 = e1) & ~ % 11.30/2.30 | | (all_4_10 = e1) & ~ (all_4_20 = e1)) | ( ~ (all_4_8 = e1) & ~ % 11.30/2.30 | | (all_4_15 = e1) & ~ (all_4_18 = e1) & ~ (all_4_21 = e1)) | ( ~ % 11.30/2.30 | | (all_4_9 = e3) & ~ (all_4_9 = e2) & ~ (all_4_9 = e0) & ~ % 11.30/2.30 | | (all_4_9 = e1)) | ( ~ (all_4_9 = e3) & ~ (all_4_12 = e3) & ~ % 11.30/2.30 | | (all_4_19 = e3) & ~ (all_4_22 = e3)) | ( ~ (all_4_9 = e2) & ~ % 11.30/2.30 | | (all_4_12 = e2) & ~ (all_4_19 = e2) & ~ (all_4_22 = e2)) | ( ~ % 11.30/2.30 | | (all_4_9 = e0) & ~ (all_4_12 = e0) & ~ (all_4_19 = e0) & ~ % 11.30/2.30 | | (all_4_22 = e0)) | ( ~ (all_4_9 = e1) & ~ (all_4_12 = e1) & ~ % 11.30/2.30 | | (all_4_19 = e1) & ~ (all_4_22 = e1)) | ( ~ (all_4_10 = e3) & ~ % 11.30/2.30 | | (all_4_10 = e2) & ~ (all_4_10 = e0) & ~ (all_4_10 = e1)) | ( ~ % 11.30/2.30 | | (all_4_10 = e3) & ~ (all_4_13 = e3) & ~ (all_4_16 = e3) & ~ % 11.30/2.30 | | (all_4_23 = e3)) | ( ~ (all_4_10 = e2) & ~ (all_4_13 = e2) & ~ % 11.30/2.30 | | (all_4_16 = e2) & ~ (all_4_23 = e2)) | ( ~ (all_4_10 = e0) & ~ % 11.30/2.30 | | (all_4_13 = e0) & ~ (all_4_16 = e0) & ~ (all_4_23 = e0)) | ( ~ % 11.30/2.30 | | (all_4_10 = e1) & ~ (all_4_13 = e1) & ~ (all_4_16 = e1) & ~ % 11.30/2.30 | | (all_4_23 = e1)) | ( ~ (all_4_11 = e3) & ~ (all_4_11 = e2) & ~ % 11.30/2.30 | | (all_4_11 = e0) & ~ (all_4_11 = e1)) | ( ~ (all_4_11 = e3) & ~ % 11.30/2.30 | | (all_4_12 = e3) & ~ (all_4_13 = e3) & ~ (all_4_21 = e3)) | ( ~ % 11.30/2.30 | | (all_4_11 = e3) & ~ (all_4_14 = e3) & ~ (all_4_17 = e3) & ~ % 11.30/2.30 | | (all_4_20 = e3)) | ( ~ (all_4_11 = e2) & ~ (all_4_12 = e2) & ~ % 11.30/2.30 | | (all_4_13 = e2) & ~ (all_4_21 = e2)) | ( ~ (all_4_11 = e2) & ~ % 11.30/2.30 | | (all_4_14 = e2) & ~ (all_4_17 = e2) & ~ (all_4_20 = e2)) | ( ~ % 11.30/2.30 | | (all_4_11 = e0) & ~ (all_4_12 = e0) & ~ (all_4_13 = e0) & ~ % 11.30/2.30 | | (all_4_21 = e0)) | ( ~ (all_4_11 = e0) & ~ (all_4_14 = e0) & ~ % 11.30/2.30 | | (all_4_17 = e0) & ~ (all_4_20 = e0)) | ( ~ (all_4_11 = e1) & ~ % 11.30/2.30 | | (all_4_12 = e1) & ~ (all_4_13 = e1) & ~ (all_4_21 = e1)) | ( ~ % 11.30/2.30 | | (all_4_11 = e1) & ~ (all_4_14 = e1) & ~ (all_4_17 = e1) & ~ % 11.30/2.30 | | (all_4_20 = e1)) | ( ~ (all_4_12 = e3) & ~ (all_4_12 = e2) & ~ % 11.30/2.30 | | (all_4_12 = e0) & ~ (all_4_12 = e1)) | ( ~ (all_4_13 = e3) & ~ % 11.30/2.30 | | (all_4_13 = e2) & ~ (all_4_13 = e0) & ~ (all_4_13 = e1)) | ( ~ % 11.30/2.30 | | (all_4_14 = e3) & ~ (all_4_14 = e2) & ~ (all_4_14 = e0) & ~ % 11.30/2.30 | | (all_4_14 = e1)) | ( ~ (all_4_14 = e3) & ~ (all_4_15 = e3) & ~ % 11.30/2.30 | | (all_4_16 = e3) & ~ (all_4_22 = e3)) | ( ~ (all_4_14 = e2) & ~ % 11.30/2.30 | | (all_4_15 = e2) & ~ (all_4_16 = e2) & ~ (all_4_22 = e2)) | ( ~ % 11.30/2.30 | | (all_4_14 = e0) & ~ (all_4_15 = e0) & ~ (all_4_16 = e0) & ~ % 11.30/2.30 | | (all_4_22 = e0)) | ( ~ (all_4_14 = e1) & ~ (all_4_15 = e1) & ~ % 11.30/2.30 | | (all_4_16 = e1) & ~ (all_4_22 = e1)) | ( ~ (all_4_15 = e3) & ~ % 11.30/2.30 | | (all_4_15 = e2) & ~ (all_4_15 = e0) & ~ (all_4_15 = e1)) | ( ~ % 11.30/2.30 | | (all_4_16 = e3) & ~ (all_4_16 = e2) & ~ (all_4_16 = e0) & ~ % 11.30/2.30 | | (all_4_16 = e1)) | ( ~ (all_4_17 = e3) & ~ (all_4_17 = e2) & ~ % 11.30/2.30 | | (all_4_17 = e0) & ~ (all_4_17 = e1)) | ( ~ (all_4_17 = e3) & ~ % 11.30/2.30 | | (all_4_18 = e3) & ~ (all_4_19 = e3) & ~ (all_4_23 = e3)) | ( ~ % 11.30/2.30 | | (all_4_17 = e2) & ~ (all_4_18 = e2) & ~ (all_4_19 = e2) & ~ % 11.30/2.30 | | (all_4_23 = e2)) | ( ~ (all_4_17 = e0) & ~ (all_4_18 = e0) & ~ % 11.30/2.30 | | (all_4_19 = e0) & ~ (all_4_23 = e0)) | ( ~ (all_4_17 = e1) & ~ % 11.30/2.30 | | (all_4_18 = e1) & ~ (all_4_19 = e1) & ~ (all_4_23 = e1)) | ( ~ % 11.30/2.30 | | (all_4_18 = e3) & ~ (all_4_18 = e2) & ~ (all_4_18 = e0) & ~ % 11.30/2.30 | | (all_4_18 = e1)) | ( ~ (all_4_19 = e3) & ~ (all_4_19 = e2) & ~ % 11.30/2.30 | | (all_4_19 = e0) & ~ (all_4_19 = e1)) | ( ~ (all_4_20 = e3) & ~ % 11.30/2.30 | | (all_4_20 = e2) & ~ (all_4_20 = e0) & ~ (all_4_20 = e1)) | ( ~ % 11.30/2.30 | | (all_4_21 = e3) & ~ (all_4_21 = e2) & ~ (all_4_21 = e0) & ~ % 11.30/2.30 | | (all_4_21 = e1)) | ( ~ (all_4_22 = e3) & ~ (all_4_22 = e2) & ~ % 11.30/2.30 | | (all_4_22 = e0) & ~ (all_4_22 = e1)) | ( ~ (all_4_23 = e3) & ~ % 11.30/2.30 | | (all_4_23 = e2) & ~ (all_4_23 = e0) & ~ (all_4_23 = e1)) | ( ~ % 11.30/2.30 | | (unit = e3) & ~ (unit = e2) & ~ (unit = e0) & ~ (unit = e1)) % 11.30/2.30 | | % 11.30/2.30 | | BETA: splitting (96) gives: % 11.30/2.30 | | % 11.30/2.30 | | Case 1: % 11.30/2.30 | | | % 11.30/2.30 | | | (97) ~ (all_4_7 = e0) % 11.30/2.30 | | | % 11.30/2.30 | | | REDUCE: (90), (97) imply: % 11.30/2.30 | | | (98) $false % 11.30/2.30 | | | % 11.30/2.30 | | | CLOSE: (98) is inconsistent. % 11.30/2.30 | | | % 11.30/2.30 | | Case 2: % 11.30/2.30 | | | % 11.30/2.30 | | | (99) ~ (all_4_0 = e3) | ~ (all_4_1 = e3) | ~ (all_4_2 = e2) | ~ % 11.30/2.30 | | | (all_4_3 = e2) | ~ (all_4_4 = e1) | ~ (all_4_5 = e1) | (all_4_20 % 11.30/2.30 | | | = e3 & all_4_21 = e3 & all_4_22 = e3 & all_4_23 = e3) | % 11.30/2.30 | | | (all_4_20 = e2 & all_4_21 = e2 & all_4_22 = e2 & all_4_23 = e2) | % 11.30/2.30 | | | (all_4_20 = e0 & all_4_21 = e0 & all_4_22 = e0 & all_4_23 = e0) | % 11.30/2.30 | | | (all_4_20 = e1 & all_4_21 = e1 & all_4_22 = e1 & all_4_23 = e1) | % 11.30/2.30 | | | ( ~ (all_4_8 = e3) & ~ (all_4_8 = e2) & ~ (all_4_8 = e0) & ~ % 11.30/2.30 | | | (all_4_8 = e1)) | ( ~ (all_4_8 = e3) & ~ (all_4_9 = e3) & ~ % 11.30/2.30 | | | (all_4_10 = e3) & ~ (all_4_20 = e3)) | ( ~ (all_4_8 = e3) & ~ % 11.30/2.30 | | | (all_4_15 = e3) & ~ (all_4_18 = e3) & ~ (all_4_21 = e3)) | ( ~ % 11.30/2.30 | | | (all_4_8 = e2) & ~ (all_4_9 = e2) & ~ (all_4_10 = e2) & ~ % 11.30/2.30 | | | (all_4_20 = e2)) | ( ~ (all_4_8 = e2) & ~ (all_4_15 = e2) & ~ % 11.30/2.30 | | | (all_4_18 = e2) & ~ (all_4_21 = e2)) | ( ~ (all_4_8 = e0) & ~ % 11.30/2.30 | | | (all_4_9 = e0) & ~ (all_4_10 = e0) & ~ (all_4_20 = e0)) | ( ~ % 11.30/2.30 | | | (all_4_8 = e0) & ~ (all_4_15 = e0) & ~ (all_4_18 = e0) & ~ % 11.30/2.30 | | | (all_4_21 = e0)) | ( ~ (all_4_8 = e1) & ~ (all_4_9 = e1) & ~ % 11.30/2.30 | | | (all_4_10 = e1) & ~ (all_4_20 = e1)) | ( ~ (all_4_8 = e1) & ~ % 11.30/2.30 | | | (all_4_15 = e1) & ~ (all_4_18 = e1) & ~ (all_4_21 = e1)) | ( ~ % 11.30/2.30 | | | (all_4_9 = e3) & ~ (all_4_9 = e2) & ~ (all_4_9 = e0) & ~ % 11.30/2.30 | | | (all_4_9 = e1)) | ( ~ (all_4_9 = e3) & ~ (all_4_12 = e3) & ~ % 11.30/2.30 | | | (all_4_19 = e3) & ~ (all_4_22 = e3)) | ( ~ (all_4_9 = e2) & ~ % 11.30/2.30 | | | (all_4_12 = e2) & ~ (all_4_19 = e2) & ~ (all_4_22 = e2)) | ( ~ % 11.30/2.30 | | | (all_4_9 = e0) & ~ (all_4_12 = e0) & ~ (all_4_19 = e0) & ~ % 11.30/2.30 | | | (all_4_22 = e0)) | ( ~ (all_4_9 = e1) & ~ (all_4_12 = e1) & ~ % 11.30/2.30 | | | (all_4_19 = e1) & ~ (all_4_22 = e1)) | ( ~ (all_4_10 = e3) & ~ % 11.30/2.30 | | | (all_4_10 = e2) & ~ (all_4_10 = e0) & ~ (all_4_10 = e1)) | ( ~ % 11.30/2.30 | | | (all_4_10 = e3) & ~ (all_4_13 = e3) & ~ (all_4_16 = e3) & ~ % 11.30/2.30 | | | (all_4_23 = e3)) | ( ~ (all_4_10 = e2) & ~ (all_4_13 = e2) & ~ % 11.30/2.30 | | | (all_4_16 = e2) & ~ (all_4_23 = e2)) | ( ~ (all_4_10 = e0) & ~ % 11.30/2.30 | | | (all_4_13 = e0) & ~ (all_4_16 = e0) & ~ (all_4_23 = e0)) | ( ~ % 11.30/2.30 | | | (all_4_10 = e1) & ~ (all_4_13 = e1) & ~ (all_4_16 = e1) & ~ % 11.30/2.30 | | | (all_4_23 = e1)) | ( ~ (all_4_11 = e3) & ~ (all_4_11 = e2) & ~ % 11.30/2.30 | | | (all_4_11 = e0) & ~ (all_4_11 = e1)) | ( ~ (all_4_11 = e3) & ~ % 11.30/2.30 | | | (all_4_12 = e3) & ~ (all_4_13 = e3) & ~ (all_4_21 = e3)) | ( ~ % 11.30/2.30 | | | (all_4_11 = e3) & ~ (all_4_14 = e3) & ~ (all_4_17 = e3) & ~ % 11.30/2.30 | | | (all_4_20 = e3)) | ( ~ (all_4_11 = e2) & ~ (all_4_12 = e2) & ~ % 11.30/2.30 | | | (all_4_13 = e2) & ~ (all_4_21 = e2)) | ( ~ (all_4_11 = e2) & ~ % 11.30/2.30 | | | (all_4_14 = e2) & ~ (all_4_17 = e2) & ~ (all_4_20 = e2)) | ( ~ % 11.30/2.30 | | | (all_4_11 = e0) & ~ (all_4_12 = e0) & ~ (all_4_13 = e0) & ~ % 11.30/2.30 | | | (all_4_21 = e0)) | ( ~ (all_4_11 = e0) & ~ (all_4_14 = e0) & ~ % 11.30/2.30 | | | (all_4_17 = e0) & ~ (all_4_20 = e0)) | ( ~ (all_4_11 = e1) & ~ % 11.30/2.30 | | | (all_4_12 = e1) & ~ (all_4_13 = e1) & ~ (all_4_21 = e1)) | ( ~ % 11.30/2.30 | | | (all_4_11 = e1) & ~ (all_4_14 = e1) & ~ (all_4_17 = e1) & ~ % 11.30/2.30 | | | (all_4_20 = e1)) | ( ~ (all_4_12 = e3) & ~ (all_4_12 = e2) & ~ % 11.30/2.30 | | | (all_4_12 = e0) & ~ (all_4_12 = e1)) | ( ~ (all_4_13 = e3) & ~ % 11.30/2.30 | | | (all_4_13 = e2) & ~ (all_4_13 = e0) & ~ (all_4_13 = e1)) | ( ~ % 11.30/2.30 | | | (all_4_14 = e3) & ~ (all_4_14 = e2) & ~ (all_4_14 = e0) & ~ % 11.30/2.30 | | | (all_4_14 = e1)) | ( ~ (all_4_14 = e3) & ~ (all_4_15 = e3) & ~ % 11.30/2.30 | | | (all_4_16 = e3) & ~ (all_4_22 = e3)) | ( ~ (all_4_14 = e2) & ~ % 11.30/2.30 | | | (all_4_15 = e2) & ~ (all_4_16 = e2) & ~ (all_4_22 = e2)) | ( ~ % 11.30/2.30 | | | (all_4_14 = e0) & ~ (all_4_15 = e0) & ~ (all_4_16 = e0) & ~ % 11.30/2.30 | | | (all_4_22 = e0)) | ( ~ (all_4_14 = e1) & ~ (all_4_15 = e1) & ~ % 11.30/2.30 | | | (all_4_16 = e1) & ~ (all_4_22 = e1)) | ( ~ (all_4_15 = e3) & ~ % 11.30/2.30 | | | (all_4_15 = e2) & ~ (all_4_15 = e0) & ~ (all_4_15 = e1)) | ( ~ % 11.30/2.30 | | | (all_4_16 = e3) & ~ (all_4_16 = e2) & ~ (all_4_16 = e0) & ~ % 11.30/2.30 | | | (all_4_16 = e1)) | ( ~ (all_4_17 = e3) & ~ (all_4_17 = e2) & ~ % 11.30/2.30 | | | (all_4_17 = e0) & ~ (all_4_17 = e1)) | ( ~ (all_4_17 = e3) & ~ % 11.30/2.30 | | | (all_4_18 = e3) & ~ (all_4_19 = e3) & ~ (all_4_23 = e3)) | ( ~ % 11.30/2.30 | | | (all_4_17 = e2) & ~ (all_4_18 = e2) & ~ (all_4_19 = e2) & ~ % 11.30/2.30 | | | (all_4_23 = e2)) | ( ~ (all_4_17 = e0) & ~ (all_4_18 = e0) & ~ % 11.30/2.30 | | | (all_4_19 = e0) & ~ (all_4_23 = e0)) | ( ~ (all_4_17 = e1) & ~ % 11.30/2.30 | | | (all_4_18 = e1) & ~ (all_4_19 = e1) & ~ (all_4_23 = e1)) | ( ~ % 11.30/2.30 | | | (all_4_18 = e3) & ~ (all_4_18 = e2) & ~ (all_4_18 = e0) & ~ % 11.30/2.30 | | | (all_4_18 = e1)) | ( ~ (all_4_19 = e3) & ~ (all_4_19 = e2) & ~ % 11.30/2.30 | | | (all_4_19 = e0) & ~ (all_4_19 = e1)) | ( ~ (all_4_20 = e3) & ~ % 11.30/2.30 | | | (all_4_20 = e2) & ~ (all_4_20 = e0) & ~ (all_4_20 = e1)) | ( ~ % 11.30/2.30 | | | (all_4_21 = e3) & ~ (all_4_21 = e2) & ~ (all_4_21 = e0) & ~ % 11.30/2.30 | | | (all_4_21 = e1)) | ( ~ (all_4_22 = e3) & ~ (all_4_22 = e2) & ~ % 11.30/2.30 | | | (all_4_22 = e0) & ~ (all_4_22 = e1)) | ( ~ (all_4_23 = e3) & ~ % 11.30/2.30 | | | (all_4_23 = e2) & ~ (all_4_23 = e0) & ~ (all_4_23 = e1)) | ( ~ % 11.30/2.30 | | | (unit = e3) & ~ (unit = e2) & ~ (unit = e0) & ~ (unit = e1)) % 11.30/2.30 | | | % 11.30/2.30 | | | BETA: splitting (99) gives: % 11.30/2.30 | | | % 11.30/2.30 | | | Case 1: % 11.30/2.30 | | | | % 11.30/2.30 | | | | (100) ~ (all_4_0 = e3) % 11.30/2.30 | | | | % 11.30/2.30 | | | | REDUCE: (77), (100) imply: % 11.30/2.30 | | | | (101) $false % 11.30/2.30 | | | | % 11.30/2.30 | | | | CLOSE: (101) is inconsistent. % 11.30/2.30 | | | | % 11.30/2.31 | | | Case 2: % 11.30/2.31 | | | | % 11.30/2.31 | | | | (102) ~ (all_4_1 = e3) | ~ (all_4_2 = e2) | ~ (all_4_3 = e2) | ~ % 11.30/2.31 | | | | (all_4_4 = e1) | ~ (all_4_5 = e1) | (all_4_20 = e3 & all_4_21 % 11.30/2.31 | | | | = e3 & all_4_22 = e3 & all_4_23 = e3) | (all_4_20 = e2 & % 11.30/2.31 | | | | all_4_21 = e2 & all_4_22 = e2 & all_4_23 = e2) | (all_4_20 = % 11.30/2.31 | | | | e0 & all_4_21 = e0 & all_4_22 = e0 & all_4_23 = e0) | % 11.30/2.31 | | | | (all_4_20 = e1 & all_4_21 = e1 & all_4_22 = e1 & all_4_23 = e1) % 11.30/2.31 | | | | | ( ~ (all_4_8 = e3) & ~ (all_4_8 = e2) & ~ (all_4_8 = e0) & % 11.30/2.31 | | | | ~ (all_4_8 = e1)) | ( ~ (all_4_8 = e3) & ~ (all_4_9 = e3) & % 11.30/2.31 | | | | ~ (all_4_10 = e3) & ~ (all_4_20 = e3)) | ( ~ (all_4_8 = e3) % 11.30/2.31 | | | | & ~ (all_4_15 = e3) & ~ (all_4_18 = e3) & ~ (all_4_21 = % 11.30/2.31 | | | | e3)) | ( ~ (all_4_8 = e2) & ~ (all_4_9 = e2) & ~ % 11.30/2.31 | | | | (all_4_10 = e2) & ~ (all_4_20 = e2)) | ( ~ (all_4_8 = e2) & % 11.30/2.31 | | | | ~ (all_4_15 = e2) & ~ (all_4_18 = e2) & ~ (all_4_21 = e2)) % 11.30/2.31 | | | | | ( ~ (all_4_8 = e0) & ~ (all_4_9 = e0) & ~ (all_4_10 = e0) & % 11.30/2.31 | | | | ~ (all_4_20 = e0)) | ( ~ (all_4_8 = e0) & ~ (all_4_15 = e0) % 11.30/2.31 | | | | & ~ (all_4_18 = e0) & ~ (all_4_21 = e0)) | ( ~ (all_4_8 = % 11.30/2.31 | | | | e1) & ~ (all_4_9 = e1) & ~ (all_4_10 = e1) & ~ (all_4_20 % 11.30/2.31 | | | | = e1)) | ( ~ (all_4_8 = e1) & ~ (all_4_15 = e1) & ~ % 11.30/2.31 | | | | (all_4_18 = e1) & ~ (all_4_21 = e1)) | ( ~ (all_4_9 = e3) & % 11.30/2.31 | | | | ~ (all_4_9 = e2) & ~ (all_4_9 = e0) & ~ (all_4_9 = e1)) | ( % 11.30/2.31 | | | | ~ (all_4_9 = e3) & ~ (all_4_12 = e3) & ~ (all_4_19 = e3) & % 11.30/2.31 | | | | ~ (all_4_22 = e3)) | ( ~ (all_4_9 = e2) & ~ (all_4_12 = e2) % 11.30/2.31 | | | | & ~ (all_4_19 = e2) & ~ (all_4_22 = e2)) | ( ~ (all_4_9 = % 11.30/2.31 | | | | e0) & ~ (all_4_12 = e0) & ~ (all_4_19 = e0) & ~ % 11.30/2.31 | | | | (all_4_22 = e0)) | ( ~ (all_4_9 = e1) & ~ (all_4_12 = e1) & % 11.30/2.31 | | | | ~ (all_4_19 = e1) & ~ (all_4_22 = e1)) | ( ~ (all_4_10 = e3) % 11.30/2.31 | | | | & ~ (all_4_10 = e2) & ~ (all_4_10 = e0) & ~ (all_4_10 = % 11.30/2.31 | | | | e1)) | ( ~ (all_4_10 = e3) & ~ (all_4_13 = e3) & ~ % 11.30/2.31 | | | | (all_4_16 = e3) & ~ (all_4_23 = e3)) | ( ~ (all_4_10 = e2) & % 11.30/2.31 | | | | ~ (all_4_13 = e2) & ~ (all_4_16 = e2) & ~ (all_4_23 = e2)) % 11.30/2.31 | | | | | ( ~ (all_4_10 = e0) & ~ (all_4_13 = e0) & ~ (all_4_16 = e0) % 11.30/2.31 | | | | & ~ (all_4_23 = e0)) | ( ~ (all_4_10 = e1) & ~ (all_4_13 = % 11.30/2.31 | | | | e1) & ~ (all_4_16 = e1) & ~ (all_4_23 = e1)) | ( ~ % 11.30/2.31 | | | | (all_4_11 = e3) & ~ (all_4_11 = e2) & ~ (all_4_11 = e0) & % 11.30/2.31 | | | | ~ (all_4_11 = e1)) | ( ~ (all_4_11 = e3) & ~ (all_4_12 = e3) % 11.30/2.31 | | | | & ~ (all_4_13 = e3) & ~ (all_4_21 = e3)) | ( ~ (all_4_11 = % 11.30/2.31 | | | | e3) & ~ (all_4_14 = e3) & ~ (all_4_17 = e3) & ~ % 11.30/2.31 | | | | (all_4_20 = e3)) | ( ~ (all_4_11 = e2) & ~ (all_4_12 = e2) & % 11.30/2.31 | | | | ~ (all_4_13 = e2) & ~ (all_4_21 = e2)) | ( ~ (all_4_11 = % 11.30/2.31 | | | | e2) & ~ (all_4_14 = e2) & ~ (all_4_17 = e2) & ~ % 11.30/2.31 | | | | (all_4_20 = e2)) | ( ~ (all_4_11 = e0) & ~ (all_4_12 = e0) & % 11.30/2.31 | | | | ~ (all_4_13 = e0) & ~ (all_4_21 = e0)) | ( ~ (all_4_11 = % 11.30/2.31 | | | | e0) & ~ (all_4_14 = e0) & ~ (all_4_17 = e0) & ~ % 11.30/2.31 | | | | (all_4_20 = e0)) | ( ~ (all_4_11 = e1) & ~ (all_4_12 = e1) & % 11.30/2.31 | | | | ~ (all_4_13 = e1) & ~ (all_4_21 = e1)) | ( ~ (all_4_11 = % 11.30/2.31 | | | | e1) & ~ (all_4_14 = e1) & ~ (all_4_17 = e1) & ~ % 11.30/2.31 | | | | (all_4_20 = e1)) | ( ~ (all_4_12 = e3) & ~ (all_4_12 = e2) & % 11.30/2.31 | | | | ~ (all_4_12 = e0) & ~ (all_4_12 = e1)) | ( ~ (all_4_13 = % 11.30/2.31 | | | | e3) & ~ (all_4_13 = e2) & ~ (all_4_13 = e0) & ~ % 11.30/2.31 | | | | (all_4_13 = e1)) | ( ~ (all_4_14 = e3) & ~ (all_4_14 = e2) & % 11.30/2.31 | | | | ~ (all_4_14 = e0) & ~ (all_4_14 = e1)) | ( ~ (all_4_14 = % 11.30/2.31 | | | | e3) & ~ (all_4_15 = e3) & ~ (all_4_16 = e3) & ~ % 11.30/2.31 | | | | (all_4_22 = e3)) | ( ~ (all_4_14 = e2) & ~ (all_4_15 = e2) & % 11.30/2.31 | | | | ~ (all_4_16 = e2) & ~ (all_4_22 = e2)) | ( ~ (all_4_14 = % 11.30/2.31 | | | | e0) & ~ (all_4_15 = e0) & ~ (all_4_16 = e0) & ~ % 11.30/2.31 | | | | (all_4_22 = e0)) | ( ~ (all_4_14 = e1) & ~ (all_4_15 = e1) & % 11.30/2.31 | | | | ~ (all_4_16 = e1) & ~ (all_4_22 = e1)) | ( ~ (all_4_15 = % 11.30/2.31 | | | | e3) & ~ (all_4_15 = e2) & ~ (all_4_15 = e0) & ~ % 11.30/2.31 | | | | (all_4_15 = e1)) | ( ~ (all_4_16 = e3) & ~ (all_4_16 = e2) & % 11.30/2.31 | | | | ~ (all_4_16 = e0) & ~ (all_4_16 = e1)) | ( ~ (all_4_17 = % 11.30/2.31 | | | | e3) & ~ (all_4_17 = e2) & ~ (all_4_17 = e0) & ~ % 11.30/2.31 | | | | (all_4_17 = e1)) | ( ~ (all_4_17 = e3) & ~ (all_4_18 = e3) & % 11.30/2.31 | | | | ~ (all_4_19 = e3) & ~ (all_4_23 = e3)) | ( ~ (all_4_17 = % 11.30/2.31 | | | | e2) & ~ (all_4_18 = e2) & ~ (all_4_19 = e2) & ~ % 11.30/2.31 | | | | (all_4_23 = e2)) | ( ~ (all_4_17 = e0) & ~ (all_4_18 = e0) & % 11.30/2.31 | | | | ~ (all_4_19 = e0) & ~ (all_4_23 = e0)) | ( ~ (all_4_17 = % 11.30/2.31 | | | | e1) & ~ (all_4_18 = e1) & ~ (all_4_19 = e1) & ~ % 11.30/2.31 | | | | (all_4_23 = e1)) | ( ~ (all_4_18 = e3) & ~ (all_4_18 = e2) & % 11.30/2.31 | | | | ~ (all_4_18 = e0) & ~ (all_4_18 = e1)) | ( ~ (all_4_19 = % 11.30/2.31 | | | | e3) & ~ (all_4_19 = e2) & ~ (all_4_19 = e0) & ~ % 11.30/2.31 | | | | (all_4_19 = e1)) | ( ~ (all_4_20 = e3) & ~ (all_4_20 = e2) & % 11.30/2.31 | | | | ~ (all_4_20 = e0) & ~ (all_4_20 = e1)) | ( ~ (all_4_21 = % 11.30/2.31 | | | | e3) & ~ (all_4_21 = e2) & ~ (all_4_21 = e0) & ~ % 11.30/2.31 | | | | (all_4_21 = e1)) | ( ~ (all_4_22 = e3) & ~ (all_4_22 = e2) & % 11.30/2.31 | | | | ~ (all_4_22 = e0) & ~ (all_4_22 = e1)) | ( ~ (all_4_23 = % 11.30/2.31 | | | | e3) & ~ (all_4_23 = e2) & ~ (all_4_23 = e0) & ~ % 11.30/2.31 | | | | (all_4_23 = e1)) | ( ~ (unit = e3) & ~ (unit = e2) & ~ % 11.30/2.31 | | | | (unit = e0) & ~ (unit = e1)) % 11.30/2.31 | | | | % 11.30/2.31 | | | | BETA: splitting (102) gives: % 11.30/2.31 | | | | % 11.30/2.31 | | | | Case 1: % 11.30/2.31 | | | | | % 11.30/2.31 | | | | | (103) ~ (all_4_1 = e3) % 11.30/2.31 | | | | | % 11.30/2.31 | | | | | REDUCE: (69), (103) imply: % 11.30/2.31 | | | | | (104) $false % 11.30/2.31 | | | | | % 11.30/2.31 | | | | | CLOSE: (104) is inconsistent. % 11.30/2.31 | | | | | % 11.30/2.31 | | | | Case 2: % 11.30/2.31 | | | | | % 11.30/2.31 | | | | | (105) ~ (all_4_2 = e2) | ~ (all_4_3 = e2) | ~ (all_4_4 = e1) | % 11.30/2.31 | | | | | ~ (all_4_5 = e1) | (all_4_20 = e3 & all_4_21 = e3 & all_4_22 % 11.30/2.31 | | | | | = e3 & all_4_23 = e3) | (all_4_20 = e2 & all_4_21 = e2 & % 11.30/2.31 | | | | | all_4_22 = e2 & all_4_23 = e2) | (all_4_20 = e0 & all_4_21 % 11.30/2.31 | | | | | = e0 & all_4_22 = e0 & all_4_23 = e0) | (all_4_20 = e1 & % 11.30/2.31 | | | | | all_4_21 = e1 & all_4_22 = e1 & all_4_23 = e1) | ( ~ % 11.30/2.31 | | | | | (all_4_8 = e3) & ~ (all_4_8 = e2) & ~ (all_4_8 = e0) & ~ % 11.30/2.31 | | | | | (all_4_8 = e1)) | ( ~ (all_4_8 = e3) & ~ (all_4_9 = e3) & % 11.30/2.31 | | | | | ~ (all_4_10 = e3) & ~ (all_4_20 = e3)) | ( ~ (all_4_8 = % 11.30/2.31 | | | | | e3) & ~ (all_4_15 = e3) & ~ (all_4_18 = e3) & ~ % 11.30/2.31 | | | | | (all_4_21 = e3)) | ( ~ (all_4_8 = e2) & ~ (all_4_9 = e2) & % 11.30/2.31 | | | | | ~ (all_4_10 = e2) & ~ (all_4_20 = e2)) | ( ~ (all_4_8 = % 11.30/2.31 | | | | | e2) & ~ (all_4_15 = e2) & ~ (all_4_18 = e2) & ~ % 11.30/2.31 | | | | | (all_4_21 = e2)) | ( ~ (all_4_8 = e0) & ~ (all_4_9 = e0) & % 11.30/2.31 | | | | | ~ (all_4_10 = e0) & ~ (all_4_20 = e0)) | ( ~ (all_4_8 = % 11.30/2.31 | | | | | e0) & ~ (all_4_15 = e0) & ~ (all_4_18 = e0) & ~ % 11.30/2.31 | | | | | (all_4_21 = e0)) | ( ~ (all_4_8 = e1) & ~ (all_4_9 = e1) & % 11.30/2.31 | | | | | ~ (all_4_10 = e1) & ~ (all_4_20 = e1)) | ( ~ (all_4_8 = % 11.30/2.31 | | | | | e1) & ~ (all_4_15 = e1) & ~ (all_4_18 = e1) & ~ % 11.30/2.31 | | | | | (all_4_21 = e1)) | ( ~ (all_4_9 = e3) & ~ (all_4_9 = e2) & % 11.30/2.31 | | | | | ~ (all_4_9 = e0) & ~ (all_4_9 = e1)) | ( ~ (all_4_9 = e3) % 11.30/2.31 | | | | | & ~ (all_4_12 = e3) & ~ (all_4_19 = e3) & ~ (all_4_22 = % 11.30/2.31 | | | | | e3)) | ( ~ (all_4_9 = e2) & ~ (all_4_12 = e2) & ~ % 11.30/2.31 | | | | | (all_4_19 = e2) & ~ (all_4_22 = e2)) | ( ~ (all_4_9 = e0) % 11.30/2.31 | | | | | & ~ (all_4_12 = e0) & ~ (all_4_19 = e0) & ~ (all_4_22 = % 11.30/2.31 | | | | | e0)) | ( ~ (all_4_9 = e1) & ~ (all_4_12 = e1) & ~ % 11.30/2.31 | | | | | (all_4_19 = e1) & ~ (all_4_22 = e1)) | ( ~ (all_4_10 = e3) % 11.30/2.31 | | | | | & ~ (all_4_10 = e2) & ~ (all_4_10 = e0) & ~ (all_4_10 = % 11.30/2.31 | | | | | e1)) | ( ~ (all_4_10 = e3) & ~ (all_4_13 = e3) & ~ % 11.30/2.31 | | | | | (all_4_16 = e3) & ~ (all_4_23 = e3)) | ( ~ (all_4_10 = e2) % 11.30/2.31 | | | | | & ~ (all_4_13 = e2) & ~ (all_4_16 = e2) & ~ (all_4_23 = % 11.30/2.31 | | | | | e2)) | ( ~ (all_4_10 = e0) & ~ (all_4_13 = e0) & ~ % 11.30/2.31 | | | | | (all_4_16 = e0) & ~ (all_4_23 = e0)) | ( ~ (all_4_10 = e1) % 11.30/2.31 | | | | | & ~ (all_4_13 = e1) & ~ (all_4_16 = e1) & ~ (all_4_23 = % 11.30/2.31 | | | | | e1)) | ( ~ (all_4_11 = e3) & ~ (all_4_11 = e2) & ~ % 11.30/2.31 | | | | | (all_4_11 = e0) & ~ (all_4_11 = e1)) | ( ~ (all_4_11 = e3) % 11.30/2.31 | | | | | & ~ (all_4_12 = e3) & ~ (all_4_13 = e3) & ~ (all_4_21 = % 11.30/2.31 | | | | | e3)) | ( ~ (all_4_11 = e3) & ~ (all_4_14 = e3) & ~ % 11.30/2.31 | | | | | (all_4_17 = e3) & ~ (all_4_20 = e3)) | ( ~ (all_4_11 = e2) % 11.30/2.31 | | | | | & ~ (all_4_12 = e2) & ~ (all_4_13 = e2) & ~ (all_4_21 = % 11.30/2.31 | | | | | e2)) | ( ~ (all_4_11 = e2) & ~ (all_4_14 = e2) & ~ % 11.30/2.31 | | | | | (all_4_17 = e2) & ~ (all_4_20 = e2)) | ( ~ (all_4_11 = e0) % 11.30/2.31 | | | | | & ~ (all_4_12 = e0) & ~ (all_4_13 = e0) & ~ (all_4_21 = % 11.30/2.31 | | | | | e0)) | ( ~ (all_4_11 = e0) & ~ (all_4_14 = e0) & ~ % 11.30/2.31 | | | | | (all_4_17 = e0) & ~ (all_4_20 = e0)) | ( ~ (all_4_11 = e1) % 11.30/2.31 | | | | | & ~ (all_4_12 = e1) & ~ (all_4_13 = e1) & ~ (all_4_21 = % 11.30/2.31 | | | | | e1)) | ( ~ (all_4_11 = e1) & ~ (all_4_14 = e1) & ~ % 11.30/2.31 | | | | | (all_4_17 = e1) & ~ (all_4_20 = e1)) | ( ~ (all_4_12 = e3) % 11.30/2.31 | | | | | & ~ (all_4_12 = e2) & ~ (all_4_12 = e0) & ~ (all_4_12 = % 11.30/2.31 | | | | | e1)) | ( ~ (all_4_13 = e3) & ~ (all_4_13 = e2) & ~ % 11.30/2.31 | | | | | (all_4_13 = e0) & ~ (all_4_13 = e1)) | ( ~ (all_4_14 = e3) % 11.30/2.31 | | | | | & ~ (all_4_14 = e2) & ~ (all_4_14 = e0) & ~ (all_4_14 = % 11.30/2.31 | | | | | e1)) | ( ~ (all_4_14 = e3) & ~ (all_4_15 = e3) & ~ % 11.30/2.31 | | | | | (all_4_16 = e3) & ~ (all_4_22 = e3)) | ( ~ (all_4_14 = e2) % 11.30/2.31 | | | | | & ~ (all_4_15 = e2) & ~ (all_4_16 = e2) & ~ (all_4_22 = % 11.30/2.31 | | | | | e2)) | ( ~ (all_4_14 = e0) & ~ (all_4_15 = e0) & ~ % 11.30/2.31 | | | | | (all_4_16 = e0) & ~ (all_4_22 = e0)) | ( ~ (all_4_14 = e1) % 11.30/2.31 | | | | | & ~ (all_4_15 = e1) & ~ (all_4_16 = e1) & ~ (all_4_22 = % 11.30/2.31 | | | | | e1)) | ( ~ (all_4_15 = e3) & ~ (all_4_15 = e2) & ~ % 11.30/2.31 | | | | | (all_4_15 = e0) & ~ (all_4_15 = e1)) | ( ~ (all_4_16 = e3) % 11.30/2.31 | | | | | & ~ (all_4_16 = e2) & ~ (all_4_16 = e0) & ~ (all_4_16 = % 11.30/2.31 | | | | | e1)) | ( ~ (all_4_17 = e3) & ~ (all_4_17 = e2) & ~ % 11.30/2.31 | | | | | (all_4_17 = e0) & ~ (all_4_17 = e1)) | ( ~ (all_4_17 = e3) % 11.30/2.31 | | | | | & ~ (all_4_18 = e3) & ~ (all_4_19 = e3) & ~ (all_4_23 = % 11.30/2.31 | | | | | e3)) | ( ~ (all_4_17 = e2) & ~ (all_4_18 = e2) & ~ % 11.30/2.31 | | | | | (all_4_19 = e2) & ~ (all_4_23 = e2)) | ( ~ (all_4_17 = e0) % 11.30/2.31 | | | | | & ~ (all_4_18 = e0) & ~ (all_4_19 = e0) & ~ (all_4_23 = % 11.30/2.31 | | | | | e0)) | ( ~ (all_4_17 = e1) & ~ (all_4_18 = e1) & ~ % 11.30/2.31 | | | | | (all_4_19 = e1) & ~ (all_4_23 = e1)) | ( ~ (all_4_18 = e3) % 11.30/2.31 | | | | | & ~ (all_4_18 = e2) & ~ (all_4_18 = e0) & ~ (all_4_18 = % 11.30/2.31 | | | | | e1)) | ( ~ (all_4_19 = e3) & ~ (all_4_19 = e2) & ~ % 11.30/2.31 | | | | | (all_4_19 = e0) & ~ (all_4_19 = e1)) | ( ~ (all_4_20 = e3) % 11.30/2.31 | | | | | & ~ (all_4_20 = e2) & ~ (all_4_20 = e0) & ~ (all_4_20 = % 11.30/2.31 | | | | | e1)) | ( ~ (all_4_21 = e3) & ~ (all_4_21 = e2) & ~ % 11.30/2.32 | | | | | (all_4_21 = e0) & ~ (all_4_21 = e1)) | ( ~ (all_4_22 = e3) % 11.30/2.32 | | | | | & ~ (all_4_22 = e2) & ~ (all_4_22 = e0) & ~ (all_4_22 = % 11.30/2.32 | | | | | e1)) | ( ~ (all_4_23 = e3) & ~ (all_4_23 = e2) & ~ % 11.30/2.32 | | | | | (all_4_23 = e0) & ~ (all_4_23 = e1)) | ( ~ (unit = e3) & % 11.30/2.32 | | | | | ~ (unit = e2) & ~ (unit = e0) & ~ (unit = e1)) % 11.30/2.32 | | | | | % 11.30/2.32 | | | | | BETA: splitting (105) gives: % 11.30/2.32 | | | | | % 11.30/2.32 | | | | | Case 1: % 11.30/2.32 | | | | | | % 11.30/2.32 | | | | | | (106) ~ (all_4_2 = e2) % 11.30/2.32 | | | | | | % 11.30/2.32 | | | | | | REDUCE: (72), (106) imply: % 11.30/2.32 | | | | | | (107) $false % 11.30/2.32 | | | | | | % 11.30/2.32 | | | | | | CLOSE: (107) is inconsistent. % 11.30/2.32 | | | | | | % 11.30/2.32 | | | | | Case 2: % 11.30/2.32 | | | | | | % 11.30/2.32 | | | | | | (108) ~ (all_4_3 = e2) | ~ (all_4_4 = e1) | ~ (all_4_5 = e1) | % 11.30/2.32 | | | | | | (all_4_20 = e3 & all_4_21 = e3 & all_4_22 = e3 & all_4_23 = % 11.30/2.32 | | | | | | e3) | (all_4_20 = e2 & all_4_21 = e2 & all_4_22 = e2 & % 11.30/2.32 | | | | | | all_4_23 = e2) | (all_4_20 = e0 & all_4_21 = e0 & % 11.30/2.32 | | | | | | all_4_22 = e0 & all_4_23 = e0) | (all_4_20 = e1 & % 11.30/2.32 | | | | | | all_4_21 = e1 & all_4_22 = e1 & all_4_23 = e1) | ( ~ % 11.30/2.32 | | | | | | (all_4_8 = e3) & ~ (all_4_8 = e2) & ~ (all_4_8 = e0) & % 11.30/2.32 | | | | | | ~ (all_4_8 = e1)) | ( ~ (all_4_8 = e3) & ~ (all_4_9 = % 11.30/2.32 | | | | | | e3) & ~ (all_4_10 = e3) & ~ (all_4_20 = e3)) | ( ~ % 11.30/2.32 | | | | | | (all_4_8 = e3) & ~ (all_4_15 = e3) & ~ (all_4_18 = e3) % 11.30/2.32 | | | | | | & ~ (all_4_21 = e3)) | ( ~ (all_4_8 = e2) & ~ (all_4_9 % 11.30/2.32 | | | | | | = e2) & ~ (all_4_10 = e2) & ~ (all_4_20 = e2)) | ( ~ % 11.30/2.32 | | | | | | (all_4_8 = e2) & ~ (all_4_15 = e2) & ~ (all_4_18 = e2) % 11.30/2.32 | | | | | | & ~ (all_4_21 = e2)) | ( ~ (all_4_8 = e0) & ~ (all_4_9 % 11.30/2.32 | | | | | | = e0) & ~ (all_4_10 = e0) & ~ (all_4_20 = e0)) | ( ~ % 11.30/2.32 | | | | | | (all_4_8 = e0) & ~ (all_4_15 = e0) & ~ (all_4_18 = e0) % 11.30/2.32 | | | | | | & ~ (all_4_21 = e0)) | ( ~ (all_4_8 = e1) & ~ (all_4_9 % 11.30/2.32 | | | | | | = e1) & ~ (all_4_10 = e1) & ~ (all_4_20 = e1)) | ( ~ % 11.30/2.32 | | | | | | (all_4_8 = e1) & ~ (all_4_15 = e1) & ~ (all_4_18 = e1) % 11.30/2.32 | | | | | | & ~ (all_4_21 = e1)) | ( ~ (all_4_9 = e3) & ~ (all_4_9 % 11.30/2.32 | | | | | | = e2) & ~ (all_4_9 = e0) & ~ (all_4_9 = e1)) | ( ~ % 11.30/2.32 | | | | | | (all_4_9 = e3) & ~ (all_4_12 = e3) & ~ (all_4_19 = e3) % 11.30/2.32 | | | | | | & ~ (all_4_22 = e3)) | ( ~ (all_4_9 = e2) & ~ (all_4_12 % 11.30/2.32 | | | | | | = e2) & ~ (all_4_19 = e2) & ~ (all_4_22 = e2)) | ( ~ % 11.30/2.32 | | | | | | (all_4_9 = e0) & ~ (all_4_12 = e0) & ~ (all_4_19 = e0) % 11.30/2.32 | | | | | | & ~ (all_4_22 = e0)) | ( ~ (all_4_9 = e1) & ~ (all_4_12 % 11.30/2.32 | | | | | | = e1) & ~ (all_4_19 = e1) & ~ (all_4_22 = e1)) | ( ~ % 11.30/2.32 | | | | | | (all_4_10 = e3) & ~ (all_4_10 = e2) & ~ (all_4_10 = e0) % 11.30/2.32 | | | | | | & ~ (all_4_10 = e1)) | ( ~ (all_4_10 = e3) & ~ % 11.30/2.32 | | | | | | (all_4_13 = e3) & ~ (all_4_16 = e3) & ~ (all_4_23 = % 11.30/2.32 | | | | | | e3)) | ( ~ (all_4_10 = e2) & ~ (all_4_13 = e2) & ~ % 11.30/2.32 | | | | | | (all_4_16 = e2) & ~ (all_4_23 = e2)) | ( ~ (all_4_10 = % 11.30/2.32 | | | | | | e0) & ~ (all_4_13 = e0) & ~ (all_4_16 = e0) & ~ % 11.30/2.32 | | | | | | (all_4_23 = e0)) | ( ~ (all_4_10 = e1) & ~ (all_4_13 = % 11.30/2.32 | | | | | | e1) & ~ (all_4_16 = e1) & ~ (all_4_23 = e1)) | ( ~ % 11.30/2.32 | | | | | | (all_4_11 = e3) & ~ (all_4_11 = e2) & ~ (all_4_11 = e0) % 11.30/2.32 | | | | | | & ~ (all_4_11 = e1)) | ( ~ (all_4_11 = e3) & ~ % 11.30/2.32 | | | | | | (all_4_12 = e3) & ~ (all_4_13 = e3) & ~ (all_4_21 = % 11.30/2.32 | | | | | | e3)) | ( ~ (all_4_11 = e3) & ~ (all_4_14 = e3) & ~ % 11.30/2.32 | | | | | | (all_4_17 = e3) & ~ (all_4_20 = e3)) | ( ~ (all_4_11 = % 11.30/2.32 | | | | | | e2) & ~ (all_4_12 = e2) & ~ (all_4_13 = e2) & ~ % 11.30/2.32 | | | | | | (all_4_21 = e2)) | ( ~ (all_4_11 = e2) & ~ (all_4_14 = % 11.30/2.32 | | | | | | e2) & ~ (all_4_17 = e2) & ~ (all_4_20 = e2)) | ( ~ % 11.30/2.32 | | | | | | (all_4_11 = e0) & ~ (all_4_12 = e0) & ~ (all_4_13 = e0) % 11.30/2.32 | | | | | | & ~ (all_4_21 = e0)) | ( ~ (all_4_11 = e0) & ~ % 11.30/2.32 | | | | | | (all_4_14 = e0) & ~ (all_4_17 = e0) & ~ (all_4_20 = % 11.30/2.32 | | | | | | e0)) | ( ~ (all_4_11 = e1) & ~ (all_4_12 = e1) & ~ % 11.30/2.32 | | | | | | (all_4_13 = e1) & ~ (all_4_21 = e1)) | ( ~ (all_4_11 = % 11.30/2.32 | | | | | | e1) & ~ (all_4_14 = e1) & ~ (all_4_17 = e1) & ~ % 11.30/2.32 | | | | | | (all_4_20 = e1)) | ( ~ (all_4_12 = e3) & ~ (all_4_12 = % 11.30/2.32 | | | | | | e2) & ~ (all_4_12 = e0) & ~ (all_4_12 = e1)) | ( ~ % 11.30/2.32 | | | | | | (all_4_13 = e3) & ~ (all_4_13 = e2) & ~ (all_4_13 = e0) % 11.30/2.32 | | | | | | & ~ (all_4_13 = e1)) | ( ~ (all_4_14 = e3) & ~ % 11.30/2.32 | | | | | | (all_4_14 = e2) & ~ (all_4_14 = e0) & ~ (all_4_14 = % 11.30/2.32 | | | | | | e1)) | ( ~ (all_4_14 = e3) & ~ (all_4_15 = e3) & ~ % 11.30/2.32 | | | | | | (all_4_16 = e3) & ~ (all_4_22 = e3)) | ( ~ (all_4_14 = % 11.30/2.32 | | | | | | e2) & ~ (all_4_15 = e2) & ~ (all_4_16 = e2) & ~ % 11.30/2.32 | | | | | | (all_4_22 = e2)) | ( ~ (all_4_14 = e0) & ~ (all_4_15 = % 11.30/2.32 | | | | | | e0) & ~ (all_4_16 = e0) & ~ (all_4_22 = e0)) | ( ~ % 11.30/2.32 | | | | | | (all_4_14 = e1) & ~ (all_4_15 = e1) & ~ (all_4_16 = e1) % 11.30/2.32 | | | | | | & ~ (all_4_22 = e1)) | ( ~ (all_4_15 = e3) & ~ % 11.30/2.32 | | | | | | (all_4_15 = e2) & ~ (all_4_15 = e0) & ~ (all_4_15 = % 11.30/2.32 | | | | | | e1)) | ( ~ (all_4_16 = e3) & ~ (all_4_16 = e2) & ~ % 11.30/2.32 | | | | | | (all_4_16 = e0) & ~ (all_4_16 = e1)) | ( ~ (all_4_17 = % 11.30/2.32 | | | | | | e3) & ~ (all_4_17 = e2) & ~ (all_4_17 = e0) & ~ % 11.30/2.32 | | | | | | (all_4_17 = e1)) | ( ~ (all_4_17 = e3) & ~ (all_4_18 = % 11.30/2.32 | | | | | | e3) & ~ (all_4_19 = e3) & ~ (all_4_23 = e3)) | ( ~ % 11.30/2.32 | | | | | | (all_4_17 = e2) & ~ (all_4_18 = e2) & ~ (all_4_19 = e2) % 11.30/2.32 | | | | | | & ~ (all_4_23 = e2)) | ( ~ (all_4_17 = e0) & ~ % 11.30/2.32 | | | | | | (all_4_18 = e0) & ~ (all_4_19 = e0) & ~ (all_4_23 = % 11.30/2.32 | | | | | | e0)) | ( ~ (all_4_17 = e1) & ~ (all_4_18 = e1) & ~ % 11.30/2.32 | | | | | | (all_4_19 = e1) & ~ (all_4_23 = e1)) | ( ~ (all_4_18 = % 11.30/2.32 | | | | | | e3) & ~ (all_4_18 = e2) & ~ (all_4_18 = e0) & ~ % 11.30/2.32 | | | | | | (all_4_18 = e1)) | ( ~ (all_4_19 = e3) & ~ (all_4_19 = % 11.30/2.32 | | | | | | e2) & ~ (all_4_19 = e0) & ~ (all_4_19 = e1)) | ( ~ % 11.30/2.32 | | | | | | (all_4_20 = e3) & ~ (all_4_20 = e2) & ~ (all_4_20 = e0) % 11.30/2.32 | | | | | | & ~ (all_4_20 = e1)) | ( ~ (all_4_21 = e3) & ~ % 11.30/2.32 | | | | | | (all_4_21 = e2) & ~ (all_4_21 = e0) & ~ (all_4_21 = % 11.30/2.32 | | | | | | e1)) | ( ~ (all_4_22 = e3) & ~ (all_4_22 = e2) & ~ % 11.30/2.32 | | | | | | (all_4_22 = e0) & ~ (all_4_22 = e1)) | ( ~ (all_4_23 = % 11.30/2.32 | | | | | | e3) & ~ (all_4_23 = e2) & ~ (all_4_23 = e0) & ~ % 11.30/2.32 | | | | | | (all_4_23 = e1)) | ( ~ (unit = e3) & ~ (unit = e2) & ~ % 11.30/2.32 | | | | | | (unit = e0) & ~ (unit = e1)) % 11.30/2.32 | | | | | | % 11.30/2.32 | | | | | | BETA: splitting (108) gives: % 11.30/2.32 | | | | | | % 11.30/2.32 | | | | | | Case 1: % 11.30/2.32 | | | | | | | % 11.30/2.32 | | | | | | | (109) ~ (all_4_3 = e2) % 11.30/2.32 | | | | | | | % 11.30/2.32 | | | | | | | REDUCE: (67), (109) imply: % 11.30/2.32 | | | | | | | (110) $false % 11.30/2.32 | | | | | | | % 11.30/2.32 | | | | | | | CLOSE: (110) is inconsistent. % 11.30/2.32 | | | | | | | % 11.30/2.32 | | | | | | Case 2: % 11.30/2.32 | | | | | | | % 11.30/2.32 | | | | | | | (111) ~ (all_4_4 = e1) | ~ (all_4_5 = e1) | (all_4_20 = e3 & % 11.30/2.32 | | | | | | | all_4_21 = e3 & all_4_22 = e3 & all_4_23 = e3) | % 11.30/2.32 | | | | | | | (all_4_20 = e2 & all_4_21 = e2 & all_4_22 = e2 & all_4_23 % 11.30/2.32 | | | | | | | = e2) | (all_4_20 = e0 & all_4_21 = e0 & all_4_22 = e0 % 11.30/2.32 | | | | | | | & all_4_23 = e0) | (all_4_20 = e1 & all_4_21 = e1 & % 11.30/2.32 | | | | | | | all_4_22 = e1 & all_4_23 = e1) | ( ~ (all_4_8 = e3) & % 11.30/2.32 | | | | | | | ~ (all_4_8 = e2) & ~ (all_4_8 = e0) & ~ (all_4_8 = % 11.30/2.32 | | | | | | | e1)) | ( ~ (all_4_8 = e3) & ~ (all_4_9 = e3) & ~ % 11.30/2.32 | | | | | | | (all_4_10 = e3) & ~ (all_4_20 = e3)) | ( ~ (all_4_8 = % 11.30/2.32 | | | | | | | e3) & ~ (all_4_15 = e3) & ~ (all_4_18 = e3) & ~ % 11.30/2.32 | | | | | | | (all_4_21 = e3)) | ( ~ (all_4_8 = e2) & ~ (all_4_9 = % 11.30/2.32 | | | | | | | e2) & ~ (all_4_10 = e2) & ~ (all_4_20 = e2)) | ( ~ % 11.30/2.32 | | | | | | | (all_4_8 = e2) & ~ (all_4_15 = e2) & ~ (all_4_18 = % 11.30/2.32 | | | | | | | e2) & ~ (all_4_21 = e2)) | ( ~ (all_4_8 = e0) & ~ % 11.30/2.32 | | | | | | | (all_4_9 = e0) & ~ (all_4_10 = e0) & ~ (all_4_20 = % 11.30/2.32 | | | | | | | e0)) | ( ~ (all_4_8 = e0) & ~ (all_4_15 = e0) & ~ % 11.30/2.32 | | | | | | | (all_4_18 = e0) & ~ (all_4_21 = e0)) | ( ~ (all_4_8 = % 11.30/2.32 | | | | | | | e1) & ~ (all_4_9 = e1) & ~ (all_4_10 = e1) & ~ % 11.30/2.32 | | | | | | | (all_4_20 = e1)) | ( ~ (all_4_8 = e1) & ~ (all_4_15 = % 11.30/2.32 | | | | | | | e1) & ~ (all_4_18 = e1) & ~ (all_4_21 = e1)) | ( ~ % 11.30/2.32 | | | | | | | (all_4_9 = e3) & ~ (all_4_9 = e2) & ~ (all_4_9 = e0) % 11.30/2.32 | | | | | | | & ~ (all_4_9 = e1)) | ( ~ (all_4_9 = e3) & ~ % 11.30/2.32 | | | | | | | (all_4_12 = e3) & ~ (all_4_19 = e3) & ~ (all_4_22 = % 11.30/2.32 | | | | | | | e3)) | ( ~ (all_4_9 = e2) & ~ (all_4_12 = e2) & ~ % 11.30/2.32 | | | | | | | (all_4_19 = e2) & ~ (all_4_22 = e2)) | ( ~ (all_4_9 = % 11.30/2.32 | | | | | | | e0) & ~ (all_4_12 = e0) & ~ (all_4_19 = e0) & ~ % 11.30/2.32 | | | | | | | (all_4_22 = e0)) | ( ~ (all_4_9 = e1) & ~ (all_4_12 = % 11.30/2.32 | | | | | | | e1) & ~ (all_4_19 = e1) & ~ (all_4_22 = e1)) | ( ~ % 11.30/2.32 | | | | | | | (all_4_10 = e3) & ~ (all_4_10 = e2) & ~ (all_4_10 = % 11.30/2.32 | | | | | | | e0) & ~ (all_4_10 = e1)) | ( ~ (all_4_10 = e3) & ~ % 11.30/2.32 | | | | | | | (all_4_13 = e3) & ~ (all_4_16 = e3) & ~ (all_4_23 = % 11.30/2.32 | | | | | | | e3)) | ( ~ (all_4_10 = e2) & ~ (all_4_13 = e2) & ~ % 11.30/2.32 | | | | | | | (all_4_16 = e2) & ~ (all_4_23 = e2)) | ( ~ (all_4_10 = % 11.30/2.32 | | | | | | | e0) & ~ (all_4_13 = e0) & ~ (all_4_16 = e0) & ~ % 11.30/2.32 | | | | | | | (all_4_23 = e0)) | ( ~ (all_4_10 = e1) & ~ (all_4_13 = % 11.30/2.32 | | | | | | | e1) & ~ (all_4_16 = e1) & ~ (all_4_23 = e1)) | ( ~ % 11.30/2.32 | | | | | | | (all_4_11 = e3) & ~ (all_4_11 = e2) & ~ (all_4_11 = % 11.30/2.32 | | | | | | | e0) & ~ (all_4_11 = e1)) | ( ~ (all_4_11 = e3) & ~ % 11.30/2.32 | | | | | | | (all_4_12 = e3) & ~ (all_4_13 = e3) & ~ (all_4_21 = % 11.30/2.32 | | | | | | | e3)) | ( ~ (all_4_11 = e3) & ~ (all_4_14 = e3) & ~ % 11.30/2.32 | | | | | | | (all_4_17 = e3) & ~ (all_4_20 = e3)) | ( ~ (all_4_11 = % 11.30/2.32 | | | | | | | e2) & ~ (all_4_12 = e2) & ~ (all_4_13 = e2) & ~ % 11.30/2.32 | | | | | | | (all_4_21 = e2)) | ( ~ (all_4_11 = e2) & ~ (all_4_14 = % 11.30/2.32 | | | | | | | e2) & ~ (all_4_17 = e2) & ~ (all_4_20 = e2)) | ( ~ % 11.30/2.32 | | | | | | | (all_4_11 = e0) & ~ (all_4_12 = e0) & ~ (all_4_13 = % 11.30/2.32 | | | | | | | e0) & ~ (all_4_21 = e0)) | ( ~ (all_4_11 = e0) & ~ % 11.30/2.32 | | | | | | | (all_4_14 = e0) & ~ (all_4_17 = e0) & ~ (all_4_20 = % 11.30/2.32 | | | | | | | e0)) | ( ~ (all_4_11 = e1) & ~ (all_4_12 = e1) & ~ % 11.30/2.32 | | | | | | | (all_4_13 = e1) & ~ (all_4_21 = e1)) | ( ~ (all_4_11 = % 11.30/2.32 | | | | | | | e1) & ~ (all_4_14 = e1) & ~ (all_4_17 = e1) & ~ % 11.30/2.32 | | | | | | | (all_4_20 = e1)) | ( ~ (all_4_12 = e3) & ~ (all_4_12 = % 11.30/2.32 | | | | | | | e2) & ~ (all_4_12 = e0) & ~ (all_4_12 = e1)) | ( ~ % 11.30/2.32 | | | | | | | (all_4_13 = e3) & ~ (all_4_13 = e2) & ~ (all_4_13 = % 11.30/2.32 | | | | | | | e0) & ~ (all_4_13 = e1)) | ( ~ (all_4_14 = e3) & ~ % 11.30/2.32 | | | | | | | (all_4_14 = e2) & ~ (all_4_14 = e0) & ~ (all_4_14 = % 11.30/2.32 | | | | | | | e1)) | ( ~ (all_4_14 = e3) & ~ (all_4_15 = e3) & ~ % 11.30/2.32 | | | | | | | (all_4_16 = e3) & ~ (all_4_22 = e3)) | ( ~ (all_4_14 = % 11.30/2.32 | | | | | | | e2) & ~ (all_4_15 = e2) & ~ (all_4_16 = e2) & ~ % 11.30/2.32 | | | | | | | (all_4_22 = e2)) | ( ~ (all_4_14 = e0) & ~ (all_4_15 = % 11.30/2.32 | | | | | | | e0) & ~ (all_4_16 = e0) & ~ (all_4_22 = e0)) | ( ~ % 11.30/2.32 | | | | | | | (all_4_14 = e1) & ~ (all_4_15 = e1) & ~ (all_4_16 = % 11.30/2.32 | | | | | | | e1) & ~ (all_4_22 = e1)) | ( ~ (all_4_15 = e3) & ~ % 11.30/2.32 | | | | | | | (all_4_15 = e2) & ~ (all_4_15 = e0) & ~ (all_4_15 = % 11.30/2.32 | | | | | | | e1)) | ( ~ (all_4_16 = e3) & ~ (all_4_16 = e2) & ~ % 11.30/2.32 | | | | | | | (all_4_16 = e0) & ~ (all_4_16 = e1)) | ( ~ (all_4_17 = % 11.30/2.32 | | | | | | | e3) & ~ (all_4_17 = e2) & ~ (all_4_17 = e0) & ~ % 11.30/2.32 | | | | | | | (all_4_17 = e1)) | ( ~ (all_4_17 = e3) & ~ (all_4_18 = % 11.30/2.32 | | | | | | | e3) & ~ (all_4_19 = e3) & ~ (all_4_23 = e3)) | ( ~ % 11.30/2.32 | | | | | | | (all_4_17 = e2) & ~ (all_4_18 = e2) & ~ (all_4_19 = % 11.30/2.32 | | | | | | | e2) & ~ (all_4_23 = e2)) | ( ~ (all_4_17 = e0) & ~ % 11.30/2.32 | | | | | | | (all_4_18 = e0) & ~ (all_4_19 = e0) & ~ (all_4_23 = % 11.30/2.32 | | | | | | | e0)) | ( ~ (all_4_17 = e1) & ~ (all_4_18 = e1) & ~ % 11.30/2.32 | | | | | | | (all_4_19 = e1) & ~ (all_4_23 = e1)) | ( ~ (all_4_18 = % 11.30/2.32 | | | | | | | e3) & ~ (all_4_18 = e2) & ~ (all_4_18 = e0) & ~ % 11.30/2.32 | | | | | | | (all_4_18 = e1)) | ( ~ (all_4_19 = e3) & ~ (all_4_19 = % 11.30/2.32 | | | | | | | e2) & ~ (all_4_19 = e0) & ~ (all_4_19 = e1)) | ( ~ % 11.30/2.32 | | | | | | | (all_4_20 = e3) & ~ (all_4_20 = e2) & ~ (all_4_20 = % 11.30/2.32 | | | | | | | e0) & ~ (all_4_20 = e1)) | ( ~ (all_4_21 = e3) & ~ % 11.30/2.32 | | | | | | | (all_4_21 = e2) & ~ (all_4_21 = e0) & ~ (all_4_21 = % 11.30/2.32 | | | | | | | e1)) | ( ~ (all_4_22 = e3) & ~ (all_4_22 = e2) & ~ % 11.30/2.32 | | | | | | | (all_4_22 = e0) & ~ (all_4_22 = e1)) | ( ~ (all_4_23 = % 11.30/2.32 | | | | | | | e3) & ~ (all_4_23 = e2) & ~ (all_4_23 = e0) & ~ % 11.30/2.32 | | | | | | | (all_4_23 = e1)) | ( ~ (unit = e3) & ~ (unit = e2) & % 11.30/2.32 | | | | | | | ~ (unit = e0) & ~ (unit = e1)) % 11.30/2.32 | | | | | | | % 11.30/2.32 | | | | | | | BETA: splitting (111) gives: % 11.30/2.32 | | | | | | | % 11.30/2.32 | | | | | | | Case 1: % 11.30/2.32 | | | | | | | | % 11.30/2.32 | | | | | | | | (112) ~ (all_4_4 = e1) % 11.30/2.32 | | | | | | | | % 11.30/2.32 | | | | | | | | REDUCE: (58), (112) imply: % 11.30/2.32 | | | | | | | | (113) $false % 11.30/2.32 | | | | | | | | % 11.30/2.32 | | | | | | | | CLOSE: (113) is inconsistent. % 11.30/2.32 | | | | | | | | % 11.30/2.32 | | | | | | | Case 2: % 11.30/2.32 | | | | | | | | % 11.30/2.33 | | | | | | | | (114) ~ (all_4_5 = e1) | (all_4_20 = e3 & all_4_21 = e3 & % 11.30/2.33 | | | | | | | | all_4_22 = e3 & all_4_23 = e3) | (all_4_20 = e2 & % 11.30/2.33 | | | | | | | | all_4_21 = e2 & all_4_22 = e2 & all_4_23 = e2) | % 11.30/2.33 | | | | | | | | (all_4_20 = e0 & all_4_21 = e0 & all_4_22 = e0 & % 11.30/2.33 | | | | | | | | all_4_23 = e0) | (all_4_20 = e1 & all_4_21 = e1 & % 11.30/2.33 | | | | | | | | all_4_22 = e1 & all_4_23 = e1) | ( ~ (all_4_8 = e3) & % 11.30/2.33 | | | | | | | | ~ (all_4_8 = e2) & ~ (all_4_8 = e0) & ~ (all_4_8 = % 11.30/2.33 | | | | | | | | e1)) | ( ~ (all_4_8 = e3) & ~ (all_4_9 = e3) & ~ % 11.30/2.33 | | | | | | | | (all_4_10 = e3) & ~ (all_4_20 = e3)) | ( ~ (all_4_8 % 11.30/2.33 | | | | | | | | = e3) & ~ (all_4_15 = e3) & ~ (all_4_18 = e3) & % 11.30/2.33 | | | | | | | | ~ (all_4_21 = e3)) | ( ~ (all_4_8 = e2) & ~ (all_4_9 % 11.30/2.33 | | | | | | | | = e2) & ~ (all_4_10 = e2) & ~ (all_4_20 = e2)) | % 11.30/2.33 | | | | | | | | ( ~ (all_4_8 = e2) & ~ (all_4_15 = e2) & ~ (all_4_18 % 11.30/2.33 | | | | | | | | = e2) & ~ (all_4_21 = e2)) | ( ~ (all_4_8 = e0) & % 11.30/2.33 | | | | | | | | ~ (all_4_9 = e0) & ~ (all_4_10 = e0) & ~ (all_4_20 % 11.30/2.33 | | | | | | | | = e0)) | ( ~ (all_4_8 = e0) & ~ (all_4_15 = e0) & % 11.30/2.33 | | | | | | | | ~ (all_4_18 = e0) & ~ (all_4_21 = e0)) | ( ~ % 11.30/2.33 | | | | | | | | (all_4_8 = e1) & ~ (all_4_9 = e1) & ~ (all_4_10 = % 11.30/2.33 | | | | | | | | e1) & ~ (all_4_20 = e1)) | ( ~ (all_4_8 = e1) & ~ % 11.30/2.33 | | | | | | | | (all_4_15 = e1) & ~ (all_4_18 = e1) & ~ (all_4_21 = % 11.30/2.33 | | | | | | | | e1)) | ( ~ (all_4_9 = e3) & ~ (all_4_9 = e2) & ~ % 11.30/2.33 | | | | | | | | (all_4_9 = e0) & ~ (all_4_9 = e1)) | ( ~ (all_4_9 = % 11.30/2.33 | | | | | | | | e3) & ~ (all_4_12 = e3) & ~ (all_4_19 = e3) & ~ % 11.30/2.33 | | | | | | | | (all_4_22 = e3)) | ( ~ (all_4_9 = e2) & ~ (all_4_12 % 11.30/2.33 | | | | | | | | = e2) & ~ (all_4_19 = e2) & ~ (all_4_22 = e2)) | % 11.30/2.33 | | | | | | | | ( ~ (all_4_9 = e0) & ~ (all_4_12 = e0) & ~ (all_4_19 % 11.30/2.33 | | | | | | | | = e0) & ~ (all_4_22 = e0)) | ( ~ (all_4_9 = e1) & % 11.30/2.33 | | | | | | | | ~ (all_4_12 = e1) & ~ (all_4_19 = e1) & ~ (all_4_22 % 11.30/2.33 | | | | | | | | = e1)) | ( ~ (all_4_10 = e3) & ~ (all_4_10 = e2) & % 11.30/2.33 | | | | | | | | ~ (all_4_10 = e0) & ~ (all_4_10 = e1)) | ( ~ % 11.30/2.33 | | | | | | | | (all_4_10 = e3) & ~ (all_4_13 = e3) & ~ (all_4_16 = % 11.30/2.33 | | | | | | | | e3) & ~ (all_4_23 = e3)) | ( ~ (all_4_10 = e2) & % 11.30/2.33 | | | | | | | | ~ (all_4_13 = e2) & ~ (all_4_16 = e2) & ~ (all_4_23 % 11.30/2.33 | | | | | | | | = e2)) | ( ~ (all_4_10 = e0) & ~ (all_4_13 = e0) & % 11.30/2.33 | | | | | | | | ~ (all_4_16 = e0) & ~ (all_4_23 = e0)) | ( ~ % 11.30/2.33 | | | | | | | | (all_4_10 = e1) & ~ (all_4_13 = e1) & ~ (all_4_16 = % 11.30/2.33 | | | | | | | | e1) & ~ (all_4_23 = e1)) | ( ~ (all_4_11 = e3) & % 11.30/2.33 | | | | | | | | ~ (all_4_11 = e2) & ~ (all_4_11 = e0) & ~ (all_4_11 % 11.30/2.33 | | | | | | | | = e1)) | ( ~ (all_4_11 = e3) & ~ (all_4_12 = e3) & % 11.30/2.33 | | | | | | | | ~ (all_4_13 = e3) & ~ (all_4_21 = e3)) | ( ~ % 11.30/2.33 | | | | | | | | (all_4_11 = e3) & ~ (all_4_14 = e3) & ~ (all_4_17 = % 11.30/2.33 | | | | | | | | e3) & ~ (all_4_20 = e3)) | ( ~ (all_4_11 = e2) & % 11.30/2.33 | | | | | | | | ~ (all_4_12 = e2) & ~ (all_4_13 = e2) & ~ (all_4_21 % 11.30/2.33 | | | | | | | | = e2)) | ( ~ (all_4_11 = e2) & ~ (all_4_14 = e2) & % 11.30/2.33 | | | | | | | | ~ (all_4_17 = e2) & ~ (all_4_20 = e2)) | ( ~ % 11.30/2.33 | | | | | | | | (all_4_11 = e0) & ~ (all_4_12 = e0) & ~ (all_4_13 = % 11.30/2.33 | | | | | | | | e0) & ~ (all_4_21 = e0)) | ( ~ (all_4_11 = e0) & % 11.30/2.33 | | | | | | | | ~ (all_4_14 = e0) & ~ (all_4_17 = e0) & ~ (all_4_20 % 11.30/2.33 | | | | | | | | = e0)) | ( ~ (all_4_11 = e1) & ~ (all_4_12 = e1) & % 11.30/2.33 | | | | | | | | ~ (all_4_13 = e1) & ~ (all_4_21 = e1)) | ( ~ % 11.30/2.33 | | | | | | | | (all_4_11 = e1) & ~ (all_4_14 = e1) & ~ (all_4_17 = % 11.30/2.33 | | | | | | | | e1) & ~ (all_4_20 = e1)) | ( ~ (all_4_12 = e3) & % 11.30/2.33 | | | | | | | | ~ (all_4_12 = e2) & ~ (all_4_12 = e0) & ~ (all_4_12 % 11.30/2.33 | | | | | | | | = e1)) | ( ~ (all_4_13 = e3) & ~ (all_4_13 = e2) & % 11.30/2.33 | | | | | | | | ~ (all_4_13 = e0) & ~ (all_4_13 = e1)) | ( ~ % 11.30/2.33 | | | | | | | | (all_4_14 = e3) & ~ (all_4_14 = e2) & ~ (all_4_14 = % 11.30/2.33 | | | | | | | | e0) & ~ (all_4_14 = e1)) | ( ~ (all_4_14 = e3) & % 11.30/2.33 | | | | | | | | ~ (all_4_15 = e3) & ~ (all_4_16 = e3) & ~ (all_4_22 % 11.30/2.33 | | | | | | | | = e3)) | ( ~ (all_4_14 = e2) & ~ (all_4_15 = e2) & % 11.30/2.33 | | | | | | | | ~ (all_4_16 = e2) & ~ (all_4_22 = e2)) | ( ~ % 11.30/2.33 | | | | | | | | (all_4_14 = e0) & ~ (all_4_15 = e0) & ~ (all_4_16 = % 11.30/2.33 | | | | | | | | e0) & ~ (all_4_22 = e0)) | ( ~ (all_4_14 = e1) & % 11.30/2.33 | | | | | | | | ~ (all_4_15 = e1) & ~ (all_4_16 = e1) & ~ (all_4_22 % 11.30/2.33 | | | | | | | | = e1)) | ( ~ (all_4_15 = e3) & ~ (all_4_15 = e2) & % 11.30/2.33 | | | | | | | | ~ (all_4_15 = e0) & ~ (all_4_15 = e1)) | ( ~ % 11.30/2.33 | | | | | | | | (all_4_16 = e3) & ~ (all_4_16 = e2) & ~ (all_4_16 = % 11.30/2.33 | | | | | | | | e0) & ~ (all_4_16 = e1)) | ( ~ (all_4_17 = e3) & % 11.30/2.33 | | | | | | | | ~ (all_4_17 = e2) & ~ (all_4_17 = e0) & ~ (all_4_17 % 11.30/2.33 | | | | | | | | = e1)) | ( ~ (all_4_17 = e3) & ~ (all_4_18 = e3) & % 11.30/2.33 | | | | | | | | ~ (all_4_19 = e3) & ~ (all_4_23 = e3)) | ( ~ % 11.30/2.33 | | | | | | | | (all_4_17 = e2) & ~ (all_4_18 = e2) & ~ (all_4_19 = % 11.30/2.33 | | | | | | | | e2) & ~ (all_4_23 = e2)) | ( ~ (all_4_17 = e0) & % 11.30/2.33 | | | | | | | | ~ (all_4_18 = e0) & ~ (all_4_19 = e0) & ~ (all_4_23 % 11.30/2.33 | | | | | | | | = e0)) | ( ~ (all_4_17 = e1) & ~ (all_4_18 = e1) & % 11.30/2.33 | | | | | | | | ~ (all_4_19 = e1) & ~ (all_4_23 = e1)) | ( ~ % 11.30/2.33 | | | | | | | | (all_4_18 = e3) & ~ (all_4_18 = e2) & ~ (all_4_18 = % 11.30/2.33 | | | | | | | | e0) & ~ (all_4_18 = e1)) | ( ~ (all_4_19 = e3) & % 11.30/2.33 | | | | | | | | ~ (all_4_19 = e2) & ~ (all_4_19 = e0) & ~ (all_4_19 % 11.30/2.33 | | | | | | | | = e1)) | ( ~ (all_4_20 = e3) & ~ (all_4_20 = e2) & % 11.30/2.33 | | | | | | | | ~ (all_4_20 = e0) & ~ (all_4_20 = e1)) | ( ~ % 11.30/2.33 | | | | | | | | (all_4_21 = e3) & ~ (all_4_21 = e2) & ~ (all_4_21 = % 11.30/2.33 | | | | | | | | e0) & ~ (all_4_21 = e1)) | ( ~ (all_4_22 = e3) & % 11.30/2.33 | | | | | | | | ~ (all_4_22 = e2) & ~ (all_4_22 = e0) & ~ (all_4_22 % 11.30/2.33 | | | | | | | | = e1)) | ( ~ (all_4_23 = e3) & ~ (all_4_23 = e2) & % 11.30/2.33 | | | | | | | | ~ (all_4_23 = e0) & ~ (all_4_23 = e1)) | ( ~ (unit % 11.30/2.33 | | | | | | | | = e3) & ~ (unit = e2) & ~ (unit = e0) & ~ (unit % 11.30/2.33 | | | | | | | | = e1)) % 11.30/2.33 | | | | | | | | % 11.30/2.33 | | | | | | | | BETA: splitting (114) gives: % 11.30/2.33 | | | | | | | | % 11.30/2.33 | | | | | | | | Case 1: % 11.30/2.33 | | | | | | | | | % 11.30/2.33 | | | | | | | | | (115) ~ (all_4_5 = e1) % 11.30/2.33 | | | | | | | | | % 11.30/2.33 | | | | | | | | | REDUCE: (62), (115) imply: % 11.30/2.33 | | | | | | | | | (116) $false % 11.30/2.33 | | | | | | | | | % 11.30/2.33 | | | | | | | | | CLOSE: (116) is inconsistent. % 11.30/2.33 | | | | | | | | | % 11.30/2.33 | | | | | | | | Case 2: % 11.30/2.33 | | | | | | | | | % 11.30/2.33 | | | | | | | | | (117) (all_4_20 = e3 & all_4_21 = e3 & all_4_22 = e3 & % 11.30/2.33 | | | | | | | | | all_4_23 = e3) | (all_4_20 = e2 & all_4_21 = e2 & % 11.30/2.33 | | | | | | | | | all_4_22 = e2 & all_4_23 = e2) | (all_4_20 = e0 & % 11.30/2.33 | | | | | | | | | all_4_21 = e0 & all_4_22 = e0 & all_4_23 = e0) | % 11.30/2.33 | | | | | | | | | (all_4_20 = e1 & all_4_21 = e1 & all_4_22 = e1 & % 11.30/2.33 | | | | | | | | | all_4_23 = e1) | ( ~ (all_4_8 = e3) & ~ (all_4_8 = % 11.30/2.33 | | | | | | | | | e2) & ~ (all_4_8 = e0) & ~ (all_4_8 = e1)) | ( % 11.30/2.33 | | | | | | | | | ~ (all_4_8 = e3) & ~ (all_4_9 = e3) & ~ (all_4_10 % 11.30/2.33 | | | | | | | | | = e3) & ~ (all_4_20 = e3)) | ( ~ (all_4_8 = e3) % 11.30/2.33 | | | | | | | | | & ~ (all_4_15 = e3) & ~ (all_4_18 = e3) & ~ % 11.30/2.33 | | | | | | | | | (all_4_21 = e3)) | ( ~ (all_4_8 = e2) & ~ (all_4_9 % 11.30/2.33 | | | | | | | | | = e2) & ~ (all_4_10 = e2) & ~ (all_4_20 = e2)) % 11.30/2.33 | | | | | | | | | | ( ~ (all_4_8 = e2) & ~ (all_4_15 = e2) & ~ % 11.30/2.33 | | | | | | | | | (all_4_18 = e2) & ~ (all_4_21 = e2)) | ( ~ % 11.30/2.33 | | | | | | | | | (all_4_8 = e0) & ~ (all_4_9 = e0) & ~ (all_4_10 = % 11.30/2.33 | | | | | | | | | e0) & ~ (all_4_20 = e0)) | ( ~ (all_4_8 = e0) & % 11.30/2.33 | | | | | | | | | ~ (all_4_15 = e0) & ~ (all_4_18 = e0) & ~ % 11.30/2.33 | | | | | | | | | (all_4_21 = e0)) | ( ~ (all_4_8 = e1) & ~ (all_4_9 % 11.30/2.33 | | | | | | | | | = e1) & ~ (all_4_10 = e1) & ~ (all_4_20 = e1)) % 11.30/2.33 | | | | | | | | | | ( ~ (all_4_8 = e1) & ~ (all_4_15 = e1) & ~ % 11.30/2.33 | | | | | | | | | (all_4_18 = e1) & ~ (all_4_21 = e1)) | ( ~ % 11.30/2.33 | | | | | | | | | (all_4_9 = e3) & ~ (all_4_9 = e2) & ~ (all_4_9 = % 11.30/2.33 | | | | | | | | | e0) & ~ (all_4_9 = e1)) | ( ~ (all_4_9 = e3) & % 11.30/2.33 | | | | | | | | | ~ (all_4_12 = e3) & ~ (all_4_19 = e3) & ~ % 11.30/2.33 | | | | | | | | | (all_4_22 = e3)) | ( ~ (all_4_9 = e2) & ~ % 11.30/2.33 | | | | | | | | | (all_4_12 = e2) & ~ (all_4_19 = e2) & ~ (all_4_22 % 11.30/2.33 | | | | | | | | | = e2)) | ( ~ (all_4_9 = e0) & ~ (all_4_12 = e0) % 11.30/2.33 | | | | | | | | | & ~ (all_4_19 = e0) & ~ (all_4_22 = e0)) | ( ~ % 11.30/2.33 | | | | | | | | | (all_4_9 = e1) & ~ (all_4_12 = e1) & ~ (all_4_19 % 11.30/2.33 | | | | | | | | | = e1) & ~ (all_4_22 = e1)) | ( ~ (all_4_10 = e3) % 11.30/2.33 | | | | | | | | | & ~ (all_4_10 = e2) & ~ (all_4_10 = e0) & ~ % 11.30/2.33 | | | | | | | | | (all_4_10 = e1)) | ( ~ (all_4_10 = e3) & ~ % 11.30/2.33 | | | | | | | | | (all_4_13 = e3) & ~ (all_4_16 = e3) & ~ (all_4_23 % 11.30/2.33 | | | | | | | | | = e3)) | ( ~ (all_4_10 = e2) & ~ (all_4_13 = e2) % 11.30/2.33 | | | | | | | | | & ~ (all_4_16 = e2) & ~ (all_4_23 = e2)) | ( ~ % 11.30/2.33 | | | | | | | | | (all_4_10 = e0) & ~ (all_4_13 = e0) & ~ (all_4_16 % 11.30/2.33 | | | | | | | | | = e0) & ~ (all_4_23 = e0)) | ( ~ (all_4_10 = e1) % 11.30/2.33 | | | | | | | | | & ~ (all_4_13 = e1) & ~ (all_4_16 = e1) & ~ % 11.30/2.33 | | | | | | | | | (all_4_23 = e1)) | ( ~ (all_4_11 = e3) & ~ % 11.30/2.33 | | | | | | | | | (all_4_11 = e2) & ~ (all_4_11 = e0) & ~ (all_4_11 % 11.30/2.33 | | | | | | | | | = e1)) | ( ~ (all_4_11 = e3) & ~ (all_4_12 = e3) % 11.30/2.33 | | | | | | | | | & ~ (all_4_13 = e3) & ~ (all_4_21 = e3)) | ( ~ % 11.30/2.33 | | | | | | | | | (all_4_11 = e3) & ~ (all_4_14 = e3) & ~ (all_4_17 % 11.30/2.33 | | | | | | | | | = e3) & ~ (all_4_20 = e3)) | ( ~ (all_4_11 = e2) % 11.30/2.33 | | | | | | | | | & ~ (all_4_12 = e2) & ~ (all_4_13 = e2) & ~ % 11.30/2.33 | | | | | | | | | (all_4_21 = e2)) | ( ~ (all_4_11 = e2) & ~ % 11.30/2.33 | | | | | | | | | (all_4_14 = e2) & ~ (all_4_17 = e2) & ~ (all_4_20 % 11.30/2.33 | | | | | | | | | = e2)) | ( ~ (all_4_11 = e0) & ~ (all_4_12 = e0) % 11.30/2.33 | | | | | | | | | & ~ (all_4_13 = e0) & ~ (all_4_21 = e0)) | ( ~ % 11.30/2.33 | | | | | | | | | (all_4_11 = e0) & ~ (all_4_14 = e0) & ~ (all_4_17 % 11.30/2.33 | | | | | | | | | = e0) & ~ (all_4_20 = e0)) | ( ~ (all_4_11 = e1) % 11.30/2.33 | | | | | | | | | & ~ (all_4_12 = e1) & ~ (all_4_13 = e1) & ~ % 11.30/2.33 | | | | | | | | | (all_4_21 = e1)) | ( ~ (all_4_11 = e1) & ~ % 11.30/2.33 | | | | | | | | | (all_4_14 = e1) & ~ (all_4_17 = e1) & ~ (all_4_20 % 11.30/2.33 | | | | | | | | | = e1)) | ( ~ (all_4_12 = e3) & ~ (all_4_12 = e2) % 11.30/2.33 | | | | | | | | | & ~ (all_4_12 = e0) & ~ (all_4_12 = e1)) | ( ~ % 11.30/2.33 | | | | | | | | | (all_4_13 = e3) & ~ (all_4_13 = e2) & ~ (all_4_13 % 11.30/2.33 | | | | | | | | | = e0) & ~ (all_4_13 = e1)) | ( ~ (all_4_14 = e3) % 11.30/2.33 | | | | | | | | | & ~ (all_4_14 = e2) & ~ (all_4_14 = e0) & ~ % 11.30/2.33 | | | | | | | | | (all_4_14 = e1)) | ( ~ (all_4_14 = e3) & ~ % 11.30/2.33 | | | | | | | | | (all_4_15 = e3) & ~ (all_4_16 = e3) & ~ (all_4_22 % 11.30/2.33 | | | | | | | | | = e3)) | ( ~ (all_4_14 = e2) & ~ (all_4_15 = e2) % 11.30/2.33 | | | | | | | | | & ~ (all_4_16 = e2) & ~ (all_4_22 = e2)) | ( ~ % 11.30/2.33 | | | | | | | | | (all_4_14 = e0) & ~ (all_4_15 = e0) & ~ (all_4_16 % 11.30/2.33 | | | | | | | | | = e0) & ~ (all_4_22 = e0)) | ( ~ (all_4_14 = e1) % 11.30/2.33 | | | | | | | | | & ~ (all_4_15 = e1) & ~ (all_4_16 = e1) & ~ % 11.30/2.33 | | | | | | | | | (all_4_22 = e1)) | ( ~ (all_4_15 = e3) & ~ % 11.30/2.33 | | | | | | | | | (all_4_15 = e2) & ~ (all_4_15 = e0) & ~ (all_4_15 % 11.30/2.33 | | | | | | | | | = e1)) | ( ~ (all_4_16 = e3) & ~ (all_4_16 = e2) % 11.30/2.33 | | | | | | | | | & ~ (all_4_16 = e0) & ~ (all_4_16 = e1)) | ( ~ % 11.30/2.33 | | | | | | | | | (all_4_17 = e3) & ~ (all_4_17 = e2) & ~ (all_4_17 % 11.30/2.33 | | | | | | | | | = e0) & ~ (all_4_17 = e1)) | ( ~ (all_4_17 = e3) % 11.30/2.33 | | | | | | | | | & ~ (all_4_18 = e3) & ~ (all_4_19 = e3) & ~ % 11.30/2.33 | | | | | | | | | (all_4_23 = e3)) | ( ~ (all_4_17 = e2) & ~ % 11.30/2.33 | | | | | | | | | (all_4_18 = e2) & ~ (all_4_19 = e2) & ~ (all_4_23 % 11.30/2.33 | | | | | | | | | = e2)) | ( ~ (all_4_17 = e0) & ~ (all_4_18 = e0) % 11.30/2.33 | | | | | | | | | & ~ (all_4_19 = e0) & ~ (all_4_23 = e0)) | ( ~ % 11.30/2.33 | | | | | | | | | (all_4_17 = e1) & ~ (all_4_18 = e1) & ~ (all_4_19 % 11.30/2.33 | | | | | | | | | = e1) & ~ (all_4_23 = e1)) | ( ~ (all_4_18 = e3) % 11.30/2.33 | | | | | | | | | & ~ (all_4_18 = e2) & ~ (all_4_18 = e0) & ~ % 11.30/2.33 | | | | | | | | | (all_4_18 = e1)) | ( ~ (all_4_19 = e3) & ~ % 11.30/2.33 | | | | | | | | | (all_4_19 = e2) & ~ (all_4_19 = e0) & ~ (all_4_19 % 11.30/2.33 | | | | | | | | | = e1)) | ( ~ (all_4_20 = e3) & ~ (all_4_20 = e2) % 11.30/2.33 | | | | | | | | | & ~ (all_4_20 = e0) & ~ (all_4_20 = e1)) | ( ~ % 11.30/2.33 | | | | | | | | | (all_4_21 = e3) & ~ (all_4_21 = e2) & ~ (all_4_21 % 11.30/2.33 | | | | | | | | | = e0) & ~ (all_4_21 = e1)) | ( ~ (all_4_22 = e3) % 11.30/2.33 | | | | | | | | | & ~ (all_4_22 = e2) & ~ (all_4_22 = e0) & ~ % 11.30/2.33 | | | | | | | | | (all_4_22 = e1)) | ( ~ (all_4_23 = e3) & ~ % 11.30/2.33 | | | | | | | | | (all_4_23 = e2) & ~ (all_4_23 = e0) & ~ (all_4_23 % 11.30/2.33 | | | | | | | | | = e1)) | ( ~ (unit = e3) & ~ (unit = e2) & ~ % 11.30/2.33 | | | | | | | | | (unit = e0) & ~ (unit = e1)) % 11.30/2.33 | | | | | | | | | % 11.30/2.33 | | | | | | | | | BETA: splitting (117) gives: % 11.30/2.33 | | | | | | | | | % 11.30/2.33 | | | | | | | | | Case 1: % 11.30/2.33 | | | | | | | | | | % 11.30/2.34 | | | | | | | | | | (118) (all_4_20 = e3 & all_4_21 = e3 & all_4_22 = e3 & % 11.30/2.34 | | | | | | | | | | all_4_23 = e3) | (all_4_20 = e2 & all_4_21 = e2 & % 11.30/2.34 | | | | | | | | | | all_4_22 = e2 & all_4_23 = e2) | (all_4_20 = e0 & % 11.30/2.34 | | | | | | | | | | all_4_21 = e0 & all_4_22 = e0 & all_4_23 = e0) | % 11.30/2.34 | | | | | | | | | | (all_4_20 = e1 & all_4_21 = e1 & all_4_22 = e1 & % 11.30/2.34 | | | | | | | | | | all_4_23 = e1) | ( ~ (all_4_8 = e3) & ~ (all_4_8 % 11.30/2.34 | | | | | | | | | | = e2) & ~ (all_4_8 = e0) & ~ (all_4_8 = e1)) % 11.30/2.34 | | | | | | | | | | | ( ~ (all_4_8 = e3) & ~ (all_4_9 = e3) & ~ % 11.30/2.34 | | | | | | | | | | (all_4_10 = e3) & ~ (all_4_20 = e3)) | ( ~ % 11.30/2.34 | | | | | | | | | | (all_4_8 = e3) & ~ (all_4_15 = e3) & ~ % 11.30/2.34 | | | | | | | | | | (all_4_18 = e3) & ~ (all_4_21 = e3)) | ( ~ % 11.30/2.34 | | | | | | | | | | (all_4_8 = e2) & ~ (all_4_9 = e2) & ~ (all_4_10 % 11.30/2.34 | | | | | | | | | | = e2) & ~ (all_4_20 = e2)) | ( ~ (all_4_8 = % 11.30/2.34 | | | | | | | | | | e2) & ~ (all_4_15 = e2) & ~ (all_4_18 = e2) & % 11.30/2.34 | | | | | | | | | | ~ (all_4_21 = e2)) | ( ~ (all_4_8 = e0) & ~ % 11.30/2.34 | | | | | | | | | | (all_4_9 = e0) & ~ (all_4_10 = e0) & ~ % 11.30/2.34 | | | | | | | | | | (all_4_20 = e0)) | ( ~ (all_4_8 = e0) & ~ % 11.30/2.34 | | | | | | | | | | (all_4_15 = e0) & ~ (all_4_18 = e0) & ~ % 11.30/2.34 | | | | | | | | | | (all_4_21 = e0)) | ( ~ (all_4_8 = e1) & ~ % 11.30/2.34 | | | | | | | | | | (all_4_9 = e1) & ~ (all_4_10 = e1) & ~ % 11.30/2.34 | | | | | | | | | | (all_4_20 = e1)) | ( ~ (all_4_8 = e1) & ~ % 11.30/2.34 | | | | | | | | | | (all_4_15 = e1) & ~ (all_4_18 = e1) & ~ % 11.30/2.34 | | | | | | | | | | (all_4_21 = e1)) | ( ~ (all_4_9 = e3) & ~ % 11.30/2.34 | | | | | | | | | | (all_4_9 = e2) & ~ (all_4_9 = e0) & ~ (all_4_9 % 11.30/2.34 | | | | | | | | | | = e1)) | ( ~ (all_4_9 = e3) & ~ (all_4_12 = % 11.30/2.34 | | | | | | | | | | e3) & ~ (all_4_19 = e3) & ~ (all_4_22 = e3)) % 11.30/2.34 | | | | | | | | | | | ( ~ (all_4_9 = e2) & ~ (all_4_12 = e2) & ~ % 11.30/2.34 | | | | | | | | | | (all_4_19 = e2) & ~ (all_4_22 = e2)) | ( ~ % 11.30/2.34 | | | | | | | | | | (all_4_9 = e0) & ~ (all_4_12 = e0) & ~ % 11.30/2.34 | | | | | | | | | | (all_4_19 = e0) & ~ (all_4_22 = e0)) | ( ~ % 11.30/2.34 | | | | | | | | | | (all_4_9 = e1) & ~ (all_4_12 = e1) & ~ % 11.30/2.34 | | | | | | | | | | (all_4_19 = e1) & ~ (all_4_22 = e1)) | ( ~ % 11.30/2.34 | | | | | | | | | | (all_4_10 = e3) & ~ (all_4_10 = e2) & ~ % 11.30/2.34 | | | | | | | | | | (all_4_10 = e0) & ~ (all_4_10 = e1)) | ( ~ % 11.30/2.34 | | | | | | | | | | (all_4_10 = e3) & ~ (all_4_13 = e3) & ~ % 11.30/2.34 | | | | | | | | | | (all_4_16 = e3) & ~ (all_4_23 = e3)) | ( ~ % 11.30/2.34 | | | | | | | | | | (all_4_10 = e2) & ~ (all_4_13 = e2) & ~ % 11.30/2.34 | | | | | | | | | | (all_4_16 = e2) & ~ (all_4_23 = e2)) | ( ~ % 11.30/2.34 | | | | | | | | | | (all_4_10 = e0) & ~ (all_4_13 = e0) & ~ % 11.30/2.34 | | | | | | | | | | (all_4_16 = e0) & ~ (all_4_23 = e0)) | ( ~ % 11.30/2.34 | | | | | | | | | | (all_4_10 = e1) & ~ (all_4_13 = e1) & ~ % 11.30/2.34 | | | | | | | | | | (all_4_16 = e1) & ~ (all_4_23 = e1)) | ( ~ % 11.30/2.34 | | | | | | | | | | (all_4_11 = e3) & ~ (all_4_11 = e2) & ~ % 11.30/2.34 | | | | | | | | | | (all_4_11 = e0) & ~ (all_4_11 = e1)) | ( ~ % 11.30/2.34 | | | | | | | | | | (all_4_11 = e3) & ~ (all_4_12 = e3) & ~ % 11.30/2.34 | | | | | | | | | | (all_4_13 = e3) & ~ (all_4_21 = e3)) | ( ~ % 11.30/2.34 | | | | | | | | | | (all_4_11 = e3) & ~ (all_4_14 = e3) & ~ % 11.30/2.34 | | | | | | | | | | (all_4_17 = e3) & ~ (all_4_20 = e3)) % 11.30/2.34 | | | | | | | | | | % 11.30/2.34 | | | | | | | | | | BETA: splitting (118) gives: % 11.30/2.34 | | | | | | | | | | % 11.30/2.34 | | | | | | | | | | Case 1: % 11.30/2.34 | | | | | | | | | | | % 11.30/2.34 | | | | | | | | | | | (119) (all_4_20 = e3 & all_4_21 = e3 & all_4_22 = e3 & % 11.30/2.34 | | | | | | | | | | | all_4_23 = e3) | (all_4_20 = e2 & all_4_21 = e2 % 11.30/2.34 | | | | | | | | | | | & all_4_22 = e2 & all_4_23 = e2) | (all_4_20 = % 11.30/2.34 | | | | | | | | | | | e0 & all_4_21 = e0 & all_4_22 = e0 & all_4_23 = % 11.30/2.34 | | | | | | | | | | | e0) | (all_4_20 = e1 & all_4_21 = e1 & all_4_22 % 11.30/2.34 | | | | | | | | | | | = e1 & all_4_23 = e1) | ( ~ (all_4_8 = e3) & ~ % 11.30/2.34 | | | | | | | | | | | (all_4_8 = e2) & ~ (all_4_8 = e0) & ~ (all_4_8 % 11.30/2.34 | | | | | | | | | | | = e1)) | ( ~ (all_4_8 = e3) & ~ (all_4_9 = % 11.30/2.34 | | | | | | | | | | | e3) & ~ (all_4_10 = e3) & ~ (all_4_20 = e3)) % 11.30/2.34 | | | | | | | | | | | | ( ~ (all_4_8 = e3) & ~ (all_4_15 = e3) & ~ % 11.30/2.34 | | | | | | | | | | | (all_4_18 = e3) & ~ (all_4_21 = e3)) | ( ~ % 11.30/2.34 | | | | | | | | | | | (all_4_8 = e2) & ~ (all_4_9 = e2) & ~ % 11.30/2.34 | | | | | | | | | | | (all_4_10 = e2) & ~ (all_4_20 = e2)) | ( ~ % 11.30/2.34 | | | | | | | | | | | (all_4_8 = e2) & ~ (all_4_15 = e2) & ~ % 11.30/2.34 | | | | | | | | | | | (all_4_18 = e2) & ~ (all_4_21 = e2)) | ( ~ % 11.30/2.34 | | | | | | | | | | | (all_4_8 = e0) & ~ (all_4_9 = e0) & ~ % 11.30/2.34 | | | | | | | | | | | (all_4_10 = e0) & ~ (all_4_20 = e0)) | ( ~ % 11.30/2.34 | | | | | | | | | | | (all_4_8 = e0) & ~ (all_4_15 = e0) & ~ % 11.30/2.34 | | | | | | | | | | | (all_4_18 = e0) & ~ (all_4_21 = e0)) | ( ~ % 11.30/2.34 | | | | | | | | | | | (all_4_8 = e1) & ~ (all_4_9 = e1) & ~ % 11.30/2.34 | | | | | | | | | | | (all_4_10 = e1) & ~ (all_4_20 = e1)) | ( ~ % 11.30/2.34 | | | | | | | | | | | (all_4_8 = e1) & ~ (all_4_15 = e1) & ~ % 11.30/2.34 | | | | | | | | | | | (all_4_18 = e1) & ~ (all_4_21 = e1)) % 11.30/2.34 | | | | | | | | | | | % 11.30/2.34 | | | | | | | | | | | BETA: splitting (119) gives: % 11.30/2.34 | | | | | | | | | | | % 11.30/2.34 | | | | | | | | | | | Case 1: % 11.30/2.34 | | | | | | | | | | | | % 11.30/2.34 | | | | | | | | | | | | (120) (all_4_20 = e3 & all_4_21 = e3 & all_4_22 = e3 & % 11.30/2.34 | | | | | | | | | | | | all_4_23 = e3) | (all_4_20 = e2 & all_4_21 = e2 % 11.30/2.34 | | | | | | | | | | | | & all_4_22 = e2 & all_4_23 = e2) | (all_4_20 = % 11.30/2.34 | | | | | | | | | | | | e0 & all_4_21 = e0 & all_4_22 = e0 & all_4_23 = % 11.30/2.34 | | | | | | | | | | | | e0) | (all_4_20 = e1 & all_4_21 = e1 & all_4_22 % 11.30/2.34 | | | | | | | | | | | | = e1 & all_4_23 = e1) | ( ~ (all_4_8 = e3) & ~ % 11.30/2.34 | | | | | | | | | | | | (all_4_8 = e2) & ~ (all_4_8 = e0) & ~ (all_4_8 % 11.30/2.34 | | | | | | | | | | | | = e1)) | ( ~ (all_4_8 = e3) & ~ (all_4_9 = % 11.30/2.34 | | | | | | | | | | | | e3) & ~ (all_4_10 = e3) & ~ (all_4_20 = e3)) % 11.30/2.34 | | | | | | | | | | | | % 11.30/2.34 | | | | | | | | | | | | BETA: splitting (120) gives: % 11.30/2.34 | | | | | | | | | | | | % 11.30/2.34 | | | | | | | | | | | | Case 1: % 11.30/2.34 | | | | | | | | | | | | | % 11.30/2.34 | | | | | | | | | | | | | (121) (all_4_20 = e3 & all_4_21 = e3 & all_4_22 = e3 & % 11.30/2.34 | | | | | | | | | | | | | all_4_23 = e3) | (all_4_20 = e2 & all_4_21 = e2 % 11.30/2.34 | | | | | | | | | | | | | & all_4_22 = e2 & all_4_23 = e2) | (all_4_20 = % 11.30/2.34 | | | | | | | | | | | | | e0 & all_4_21 = e0 & all_4_22 = e0 & all_4_23 = % 11.30/2.34 | | | | | | | | | | | | | e0) % 11.30/2.34 | | | | | | | | | | | | | % 11.30/2.34 | | | | | | | | | | | | | BETA: splitting (121) gives: % 11.30/2.34 | | | | | | | | | | | | | % 11.30/2.34 | | | | | | | | | | | | | Case 1: % 11.30/2.34 | | | | | | | | | | | | | | % 11.30/2.34 | | | | | | | | | | | | | | (122) all_4_20 = e3 & all_4_21 = e3 & all_4_22 = e3 & % 11.30/2.34 | | | | | | | | | | | | | | all_4_23 = e3 % 11.30/2.34 | | | | | | | | | | | | | | % 11.30/2.34 | | | | | | | | | | | | | | ALPHA: (122) implies: % 11.30/2.34 | | | | | | | | | | | | | | (123) all_4_23 = e3 % 11.30/2.34 | | | | | | | | | | | | | | % 11.30/2.34 | | | | | | | | | | | | | | COMBINE_EQS: (93), (123) imply: % 11.30/2.34 | | | | | | | | | | | | | | (124) e3 = e0 % 11.30/2.34 | | | | | | | | | | | | | | % 11.30/2.34 | | | | | | | | | | | | | | REDUCE: (3), (124) imply: % 11.30/2.34 | | | | | | | | | | | | | | (125) $false % 11.30/2.34 | | | | | | | | | | | | | | % 11.30/2.34 | | | | | | | | | | | | | | CLOSE: (125) is inconsistent. % 11.30/2.34 | | | | | | | | | | | | | | % 11.30/2.34 | | | | | | | | | | | | | Case 2: % 11.30/2.34 | | | | | | | | | | | | | | % 11.30/2.34 | | | | | | | | | | | | | | (126) (all_4_20 = e2 & all_4_21 = e2 & all_4_22 = e2 & % 11.30/2.34 | | | | | | | | | | | | | | all_4_23 = e2) | (all_4_20 = e0 & all_4_21 = e0 % 11.30/2.34 | | | | | | | | | | | | | | & all_4_22 = e0 & all_4_23 = e0) % 11.30/2.34 | | | | | | | | | | | | | | % 11.30/2.34 | | | | | | | | | | | | | | BETA: splitting (126) gives: % 11.30/2.34 | | | | | | | | | | | | | | % 11.30/2.34 | | | | | | | | | | | | | | Case 1: % 11.30/2.34 | | | | | | | | | | | | | | | % 11.30/2.34 | | | | | | | | | | | | | | | (127) all_4_20 = e2 & all_4_21 = e2 & all_4_22 = e2 & % 11.30/2.34 | | | | | | | | | | | | | | | all_4_23 = e2 % 11.30/2.34 | | | | | | | | | | | | | | | % 11.30/2.34 | | | | | | | | | | | | | | | ALPHA: (127) implies: % 11.30/2.34 | | | | | | | | | | | | | | | (128) all_4_23 = e2 % 11.30/2.34 | | | | | | | | | | | | | | | % 11.30/2.34 | | | | | | | | | | | | | | | COMBINE_EQS: (93), (128) imply: % 11.30/2.34 | | | | | | | | | | | | | | | (129) e2 = e0 % 11.30/2.34 | | | | | | | | | | | | | | | % 11.30/2.34 | | | | | | | | | | | | | | | REDUCE: (2), (129) imply: % 11.30/2.34 | | | | | | | | | | | | | | | (130) $false % 11.30/2.34 | | | | | | | | | | | | | | | % 11.30/2.34 | | | | | | | | | | | | | | | CLOSE: (130) is inconsistent. % 11.30/2.34 | | | | | | | | | | | | | | | % 11.30/2.34 | | | | | | | | | | | | | | Case 2: % 11.30/2.34 | | | | | | | | | | | | | | | % 11.30/2.34 | | | | | | | | | | | | | | | (131) all_4_20 = e0 & all_4_21 = e0 & all_4_22 = e0 & % 11.30/2.34 | | | | | | | | | | | | | | | all_4_23 = e0 % 11.30/2.34 | | | | | | | | | | | | | | | % 11.30/2.34 | | | | | | | | | | | | | | | ALPHA: (131) implies: % 11.30/2.34 | | | | | | | | | | | | | | | (132) all_4_22 = e0 % 11.30/2.34 | | | | | | | | | | | | | | | % 11.30/2.34 | | | | | | | | | | | | | | | COMBINE_EQS: (56), (132) imply: % 11.30/2.34 | | | | | | | | | | | | | | | (133) e3 = e0 % 11.30/2.34 | | | | | | | | | | | | | | | % 11.30/2.34 | | | | | | | | | | | | | | | REDUCE: (3), (133) imply: % 11.30/2.34 | | | | | | | | | | | | | | | (134) $false % 11.30/2.34 | | | | | | | | | | | | | | | % 11.30/2.34 | | | | | | | | | | | | | | | CLOSE: (134) is inconsistent. % 11.30/2.34 | | | | | | | | | | | | | | | % 11.30/2.34 | | | | | | | | | | | | | | End of split % 11.30/2.34 | | | | | | | | | | | | | | % 11.30/2.34 | | | | | | | | | | | | | End of split % 11.30/2.34 | | | | | | | | | | | | | % 11.30/2.34 | | | | | | | | | | | | Case 2: % 11.30/2.34 | | | | | | | | | | | | | % 11.30/2.34 | | | | | | | | | | | | | (135) (all_4_20 = e1 & all_4_21 = e1 & all_4_22 = e1 & % 11.30/2.34 | | | | | | | | | | | | | all_4_23 = e1) | ( ~ (all_4_8 = e3) & ~ % 11.30/2.34 | | | | | | | | | | | | | (all_4_8 = e2) & ~ (all_4_8 = e0) & ~ (all_4_8 % 11.30/2.34 | | | | | | | | | | | | | = e1)) | ( ~ (all_4_8 = e3) & ~ (all_4_9 = % 11.30/2.34 | | | | | | | | | | | | | e3) & ~ (all_4_10 = e3) & ~ (all_4_20 = e3)) % 11.30/2.34 | | | | | | | | | | | | | % 11.30/2.34 | | | | | | | | | | | | | BETA: splitting (135) gives: % 11.30/2.34 | | | | | | | | | | | | | % 11.30/2.34 | | | | | | | | | | | | | Case 1: % 11.30/2.34 | | | | | | | | | | | | | | % 11.30/2.34 | | | | | | | | | | | | | | (136) all_4_20 = e1 & all_4_21 = e1 & all_4_22 = e1 & % 11.30/2.34 | | | | | | | | | | | | | | all_4_23 = e1 % 11.30/2.34 | | | | | | | | | | | | | | % 11.30/2.34 | | | | | | | | | | | | | | ALPHA: (136) implies: % 11.30/2.34 | | | | | | | | | | | | | | (137) all_4_23 = e1 % 11.30/2.34 | | | | | | | | | | | | | | % 11.30/2.34 | | | | | | | | | | | | | | COMBINE_EQS: (93), (137) imply: % 11.30/2.34 | | | | | | | | | | | | | | (138) e0 = e1 % 11.30/2.34 | | | | | | | | | | | | | | % 11.30/2.34 | | | | | | | | | | | | | | SIMP: (138) implies: % 11.30/2.34 | | | | | | | | | | | | | | (139) e0 = e1 % 11.30/2.34 | | | | | | | | | | | | | | % 11.30/2.34 | | | | | | | | | | | | | | REDUCE: (1), (139) imply: % 11.30/2.34 | | | | | | | | | | | | | | (140) $false % 11.30/2.34 | | | | | | | | | | | | | | % 11.30/2.34 | | | | | | | | | | | | | | CLOSE: (140) is inconsistent. % 11.30/2.34 | | | | | | | | | | | | | | % 11.30/2.34 | | | | | | | | | | | | | Case 2: % 11.30/2.34 | | | | | | | | | | | | | | % 11.30/2.34 | | | | | | | | | | | | | | (141) ( ~ (all_4_8 = e3) & ~ (all_4_8 = e2) & ~ % 11.30/2.34 | | | | | | | | | | | | | | (all_4_8 = e0) & ~ (all_4_8 = e1)) | ( ~ % 11.30/2.34 | | | | | | | | | | | | | | (all_4_8 = e3) & ~ (all_4_9 = e3) & ~ % 11.30/2.34 | | | | | | | | | | | | | | (all_4_10 = e3) & ~ (all_4_20 = e3)) % 11.30/2.34 | | | | | | | | | | | | | | % 11.30/2.34 | | | | | | | | | | | | | | BETA: splitting (141) gives: % 11.30/2.34 | | | | | | | | | | | | | | % 11.30/2.34 | | | | | | | | | | | | | | Case 1: % 11.30/2.34 | | | | | | | | | | | | | | | % 11.30/2.34 | | | | | | | | | | | | | | | (142) ~ (all_4_8 = e3) & ~ (all_4_8 = e2) & ~ % 11.30/2.34 | | | | | | | | | | | | | | | (all_4_8 = e0) & ~ (all_4_8 = e1) % 11.30/2.34 | | | | | | | | | | | | | | | % 11.30/2.34 | | | | | | | | | | | | | | | ALPHA: (142) implies: % 11.30/2.34 | | | | | | | | | | | | | | | (143) ~ (all_4_8 = e1) % 11.30/2.34 | | | | | | | | | | | | | | | % 11.30/2.34 | | | | | | | | | | | | | | | REDUCE: (78), (143) imply: % 11.30/2.34 | | | | | | | | | | | | | | | (144) $false % 11.30/2.34 | | | | | | | | | | | | | | | % 11.30/2.34 | | | | | | | | | | | | | | | CLOSE: (144) is inconsistent. % 11.30/2.34 | | | | | | | | | | | | | | | % 11.30/2.34 | | | | | | | | | | | | | | Case 2: % 11.30/2.34 | | | | | | | | | | | | | | | % 11.30/2.34 | | | | | | | | | | | | | | | (145) ~ (all_4_8 = e3) & ~ (all_4_9 = e3) & ~ % 11.30/2.34 | | | | | | | | | | | | | | | (all_4_10 = e3) & ~ (all_4_20 = e3) % 11.30/2.34 | | | | | | | | | | | | | | | % 11.30/2.34 | | | | | | | | | | | | | | | ALPHA: (145) implies: % 11.30/2.34 | | | | | | | | | | | | | | | (146) ~ (all_4_10 = e3) % 11.30/2.34 | | | | | | | | | | | | | | | % 11.30/2.34 | | | | | | | | | | | | | | | REDUCE: (80), (146) imply: % 11.30/2.34 | | | | | | | | | | | | | | | (147) $false % 11.30/2.34 | | | | | | | | | | | | | | | % 11.30/2.34 | | | | | | | | | | | | | | | CLOSE: (147) is inconsistent. % 11.30/2.34 | | | | | | | | | | | | | | | % 11.30/2.34 | | | | | | | | | | | | | | End of split % 11.30/2.34 | | | | | | | | | | | | | | % 11.30/2.34 | | | | | | | | | | | | | End of split % 11.30/2.34 | | | | | | | | | | | | | % 11.30/2.34 | | | | | | | | | | | | End of split % 11.30/2.34 | | | | | | | | | | | | % 11.30/2.34 | | | | | | | | | | | Case 2: % 11.30/2.34 | | | | | | | | | | | | % 11.30/2.34 | | | | | | | | | | | | (148) ( ~ (all_4_8 = e3) & ~ (all_4_15 = e3) & ~ % 11.30/2.34 | | | | | | | | | | | | (all_4_18 = e3) & ~ (all_4_21 = e3)) | ( ~ % 11.30/2.34 | | | | | | | | | | | | (all_4_8 = e2) & ~ (all_4_9 = e2) & ~ % 11.30/2.34 | | | | | | | | | | | | (all_4_10 = e2) & ~ (all_4_20 = e2)) | ( ~ % 11.30/2.34 | | | | | | | | | | | | (all_4_8 = e2) & ~ (all_4_15 = e2) & ~ % 11.30/2.34 | | | | | | | | | | | | (all_4_18 = e2) & ~ (all_4_21 = e2)) | ( ~ % 11.30/2.34 | | | | | | | | | | | | (all_4_8 = e0) & ~ (all_4_9 = e0) & ~ % 11.30/2.34 | | | | | | | | | | | | (all_4_10 = e0) & ~ (all_4_20 = e0)) | ( ~ % 11.30/2.34 | | | | | | | | | | | | (all_4_8 = e0) & ~ (all_4_15 = e0) & ~ % 11.30/2.34 | | | | | | | | | | | | (all_4_18 = e0) & ~ (all_4_21 = e0)) | ( ~ % 11.30/2.34 | | | | | | | | | | | | (all_4_8 = e1) & ~ (all_4_9 = e1) & ~ % 11.30/2.34 | | | | | | | | | | | | (all_4_10 = e1) & ~ (all_4_20 = e1)) | ( ~ % 11.30/2.34 | | | | | | | | | | | | (all_4_8 = e1) & ~ (all_4_15 = e1) & ~ % 11.30/2.34 | | | | | | | | | | | | (all_4_18 = e1) & ~ (all_4_21 = e1)) % 11.30/2.34 | | | | | | | | | | | | % 11.30/2.34 | | | | | | | | | | | | BETA: splitting (148) gives: % 11.30/2.34 | | | | | | | | | | | | % 11.30/2.34 | | | | | | | | | | | | Case 1: % 11.30/2.34 | | | | | | | | | | | | | % 11.30/2.34 | | | | | | | | | | | | | (149) ( ~ (all_4_8 = e3) & ~ (all_4_15 = e3) & ~ % 11.30/2.34 | | | | | | | | | | | | | (all_4_18 = e3) & ~ (all_4_21 = e3)) | ( ~ % 11.30/2.34 | | | | | | | | | | | | | (all_4_8 = e2) & ~ (all_4_9 = e2) & ~ % 11.30/2.34 | | | | | | | | | | | | | (all_4_10 = e2) & ~ (all_4_20 = e2)) | ( ~ % 11.30/2.34 | | | | | | | | | | | | | (all_4_8 = e2) & ~ (all_4_15 = e2) & ~ % 11.30/2.34 | | | | | | | | | | | | | (all_4_18 = e2) & ~ (all_4_21 = e2)) % 11.30/2.34 | | | | | | | | | | | | | % 11.30/2.34 | | | | | | | | | | | | | BETA: splitting (149) gives: % 11.30/2.34 | | | | | | | | | | | | | % 11.30/2.34 | | | | | | | | | | | | | Case 1: % 11.30/2.34 | | | | | | | | | | | | | | % 11.30/2.35 | | | | | | | | | | | | | | (150) ~ (all_4_8 = e3) & ~ (all_4_15 = e3) & ~ % 11.30/2.35 | | | | | | | | | | | | | | (all_4_18 = e3) & ~ (all_4_21 = e3) % 11.30/2.35 | | | | | | | | | | | | | | % 11.30/2.35 | | | | | | | | | | | | | | ALPHA: (150) implies: % 11.30/2.35 | | | | | | | | | | | | | | (151) ~ (all_4_21 = e3) % 11.30/2.35 | | | | | | | | | | | | | | % 11.30/2.35 | | | | | | | | | | | | | | REDUCE: (73), (151) imply: % 11.30/2.35 | | | | | | | | | | | | | | (152) $false % 11.30/2.35 | | | | | | | | | | | | | | % 11.30/2.35 | | | | | | | | | | | | | | CLOSE: (152) is inconsistent. % 11.30/2.35 | | | | | | | | | | | | | | % 11.30/2.35 | | | | | | | | | | | | | Case 2: % 11.30/2.35 | | | | | | | | | | | | | | % 11.30/2.35 | | | | | | | | | | | | | | (153) ( ~ (all_4_8 = e2) & ~ (all_4_9 = e2) & ~ % 11.30/2.35 | | | | | | | | | | | | | | (all_4_10 = e2) & ~ (all_4_20 = e2)) | ( ~ % 11.30/2.35 | | | | | | | | | | | | | | (all_4_8 = e2) & ~ (all_4_15 = e2) & ~ % 11.30/2.35 | | | | | | | | | | | | | | (all_4_18 = e2) & ~ (all_4_21 = e2)) % 11.30/2.35 | | | | | | | | | | | | | | % 11.30/2.35 | | | | | | | | | | | | | | BETA: splitting (153) gives: % 11.30/2.35 | | | | | | | | | | | | | | % 11.30/2.35 | | | | | | | | | | | | | | Case 1: % 11.30/2.35 | | | | | | | | | | | | | | | % 11.30/2.35 | | | | | | | | | | | | | | | (154) ~ (all_4_8 = e2) & ~ (all_4_9 = e2) & ~ % 11.30/2.35 | | | | | | | | | | | | | | | (all_4_10 = e2) & ~ (all_4_20 = e2) % 11.30/2.35 | | | | | | | | | | | | | | | % 11.30/2.35 | | | | | | | | | | | | | | | ALPHA: (154) implies: % 11.30/2.35 | | | | | | | | | | | | | | | (155) ~ (all_4_9 = e2) % 11.30/2.35 | | | | | | | | | | | | | | | % 11.30/2.35 | | | | | | | | | | | | | | | REDUCE: (75), (155) imply: % 11.30/2.35 | | | | | | | | | | | | | | | (156) $false % 11.30/2.35 | | | | | | | | | | | | | | | % 11.30/2.35 | | | | | | | | | | | | | | | CLOSE: (156) is inconsistent. % 11.30/2.35 | | | | | | | | | | | | | | | % 11.30/2.35 | | | | | | | | | | | | | | Case 2: % 11.30/2.35 | | | | | | | | | | | | | | | % 11.30/2.35 | | | | | | | | | | | | | | | (157) ~ (all_4_8 = e2) & ~ (all_4_15 = e2) & ~ % 11.30/2.35 | | | | | | | | | | | | | | | (all_4_18 = e2) & ~ (all_4_21 = e2) % 11.30/2.35 | | | | | | | | | | | | | | | % 11.30/2.35 | | | | | | | | | | | | | | | ALPHA: (157) implies: % 11.30/2.35 | | | | | | | | | | | | | | | (158) ~ (all_4_18 = e2) % 11.30/2.35 | | | | | | | | | | | | | | | % 11.30/2.35 | | | | | | | | | | | | | | | REDUCE: (86), (158) imply: % 11.30/2.35 | | | | | | | | | | | | | | | (159) $false % 11.30/2.35 | | | | | | | | | | | | | | | % 11.30/2.35 | | | | | | | | | | | | | | | CLOSE: (159) is inconsistent. % 11.30/2.35 | | | | | | | | | | | | | | | % 11.30/2.35 | | | | | | | | | | | | | | End of split % 11.30/2.35 | | | | | | | | | | | | | | % 11.30/2.35 | | | | | | | | | | | | | End of split % 11.30/2.35 | | | | | | | | | | | | | % 11.30/2.35 | | | | | | | | | | | | Case 2: % 11.30/2.35 | | | | | | | | | | | | | % 11.30/2.35 | | | | | | | | | | | | | (160) ( ~ (all_4_8 = e0) & ~ (all_4_9 = e0) & ~ % 11.30/2.35 | | | | | | | | | | | | | (all_4_10 = e0) & ~ (all_4_20 = e0)) | ( ~ % 11.30/2.35 | | | | | | | | | | | | | (all_4_8 = e0) & ~ (all_4_15 = e0) & ~ % 11.30/2.35 | | | | | | | | | | | | | (all_4_18 = e0) & ~ (all_4_21 = e0)) | ( ~ % 11.30/2.35 | | | | | | | | | | | | | (all_4_8 = e1) & ~ (all_4_9 = e1) & ~ % 11.30/2.35 | | | | | | | | | | | | | (all_4_10 = e1) & ~ (all_4_20 = e1)) | ( ~ % 11.30/2.35 | | | | | | | | | | | | | (all_4_8 = e1) & ~ (all_4_15 = e1) & ~ % 11.30/2.35 | | | | | | | | | | | | | (all_4_18 = e1) & ~ (all_4_21 = e1)) % 11.30/2.35 | | | | | | | | | | | | | % 11.30/2.35 | | | | | | | | | | | | | BETA: splitting (160) gives: % 11.30/2.35 | | | | | | | | | | | | | % 11.30/2.35 | | | | | | | | | | | | | Case 1: % 11.30/2.35 | | | | | | | | | | | | | | % 11.30/2.35 | | | | | | | | | | | | | | (161) ( ~ (all_4_8 = e0) & ~ (all_4_9 = e0) & ~ % 11.30/2.35 | | | | | | | | | | | | | | (all_4_10 = e0) & ~ (all_4_20 = e0)) | ( ~ % 11.30/2.35 | | | | | | | | | | | | | | (all_4_8 = e0) & ~ (all_4_15 = e0) & ~ % 11.30/2.35 | | | | | | | | | | | | | | (all_4_18 = e0) & ~ (all_4_21 = e0)) % 11.30/2.35 | | | | | | | | | | | | | | % 11.30/2.35 | | | | | | | | | | | | | | BETA: splitting (161) gives: % 11.30/2.35 | | | | | | | | | | | | | | % 11.30/2.35 | | | | | | | | | | | | | | Case 1: % 11.30/2.35 | | | | | | | | | | | | | | | % 11.30/2.35 | | | | | | | | | | | | | | | (162) ~ (all_4_8 = e0) & ~ (all_4_9 = e0) & ~ % 11.30/2.35 | | | | | | | | | | | | | | | (all_4_10 = e0) & ~ (all_4_20 = e0) % 11.30/2.35 | | | | | | | | | | | | | | | % 11.30/2.35 | | | | | | | | | | | | | | | ALPHA: (162) implies: % 11.30/2.35 | | | | | | | | | | | | | | | (163) ~ (all_4_20 = e0) % 11.30/2.35 | | | | | | | | | | | | | | | % 11.30/2.35 | | | | | | | | | | | | | | | REDUCE: (79), (163) imply: % 11.30/2.35 | | | | | | | | | | | | | | | (164) $false % 11.30/2.35 | | | | | | | | | | | | | | | % 11.30/2.35 | | | | | | | | | | | | | | | CLOSE: (164) is inconsistent. % 11.30/2.35 | | | | | | | | | | | | | | | % 11.30/2.35 | | | | | | | | | | | | | | Case 2: % 11.30/2.35 | | | | | | | | | | | | | | | % 11.30/2.35 | | | | | | | | | | | | | | | (165) ~ (all_4_8 = e0) & ~ (all_4_15 = e0) & ~ % 11.30/2.35 | | | | | | | | | | | | | | | (all_4_18 = e0) & ~ (all_4_21 = e0) % 11.30/2.35 | | | | | | | | | | | | | | | % 11.30/2.35 | | | | | | | | | | | | | | | ALPHA: (165) implies: % 11.30/2.35 | | | | | | | | | | | | | | | (166) ~ (all_4_15 = e0) % 11.30/2.35 | | | | | | | | | | | | | | | % 11.30/2.35 | | | | | | | | | | | | | | | REDUCE: (59), (166) imply: % 11.30/2.35 | | | | | | | | | | | | | | | (167) $false % 11.30/2.35 | | | | | | | | | | | | | | | % 11.30/2.35 | | | | | | | | | | | | | | | CLOSE: (167) is inconsistent. % 11.30/2.35 | | | | | | | | | | | | | | | % 11.30/2.35 | | | | | | | | | | | | | | End of split % 11.30/2.35 | | | | | | | | | | | | | | % 11.30/2.35 | | | | | | | | | | | | | Case 2: % 11.30/2.35 | | | | | | | | | | | | | | % 11.30/2.35 | | | | | | | | | | | | | | (168) ( ~ (all_4_8 = e1) & ~ (all_4_9 = e1) & ~ % 11.30/2.35 | | | | | | | | | | | | | | (all_4_10 = e1) & ~ (all_4_20 = e1)) | ( ~ % 11.30/2.35 | | | | | | | | | | | | | | (all_4_8 = e1) & ~ (all_4_15 = e1) & ~ % 11.30/2.35 | | | | | | | | | | | | | | (all_4_18 = e1) & ~ (all_4_21 = e1)) % 11.30/2.35 | | | | | | | | | | | | | | % 11.30/2.35 | | | | | | | | | | | | | | BETA: splitting (168) gives: % 11.30/2.35 | | | | | | | | | | | | | | % 11.30/2.35 | | | | | | | | | | | | | | Case 1: % 11.30/2.35 | | | | | | | | | | | | | | | % 11.30/2.35 | | | | | | | | | | | | | | | (169) ~ (all_4_8 = e1) & ~ (all_4_9 = e1) & ~ % 11.30/2.35 | | | | | | | | | | | | | | | (all_4_10 = e1) & ~ (all_4_20 = e1) % 11.30/2.35 | | | | | | | | | | | | | | | % 11.30/2.35 | | | | | | | | | | | | | | | ALPHA: (169) implies: % 11.30/2.35 | | | | | | | | | | | | | | | (170) ~ (all_4_8 = e1) % 11.30/2.35 | | | | | | | | | | | | | | | % 11.30/2.35 | | | | | | | | | | | | | | | REDUCE: (78), (170) imply: % 11.30/2.35 | | | | | | | | | | | | | | | (171) $false % 11.30/2.35 | | | | | | | | | | | | | | | % 11.30/2.35 | | | | | | | | | | | | | | | CLOSE: (171) is inconsistent. % 11.30/2.35 | | | | | | | | | | | | | | | % 11.30/2.35 | | | | | | | | | | | | | | Case 2: % 11.30/2.35 | | | | | | | | | | | | | | | % 11.30/2.35 | | | | | | | | | | | | | | | (172) ~ (all_4_8 = e1) & ~ (all_4_15 = e1) & ~ % 11.30/2.35 | | | | | | | | | | | | | | | (all_4_18 = e1) & ~ (all_4_21 = e1) % 11.30/2.35 | | | | | | | | | | | | | | | % 11.30/2.35 | | | | | | | | | | | | | | | ALPHA: (172) implies: % 11.30/2.35 | | | | | | | | | | | | | | | (173) ~ (all_4_8 = e1) % 11.30/2.35 | | | | | | | | | | | | | | | % 11.30/2.35 | | | | | | | | | | | | | | | REDUCE: (78), (173) imply: % 11.30/2.35 | | | | | | | | | | | | | | | (174) $false % 11.30/2.35 | | | | | | | | | | | | | | | % 11.30/2.35 | | | | | | | | | | | | | | | CLOSE: (174) is inconsistent. % 11.30/2.35 | | | | | | | | | | | | | | | % 11.30/2.35 | | | | | | | | | | | | | | End of split % 11.30/2.35 | | | | | | | | | | | | | | % 11.30/2.35 | | | | | | | | | | | | | End of split % 11.30/2.35 | | | | | | | | | | | | | % 11.30/2.35 | | | | | | | | | | | | End of split % 11.30/2.35 | | | | | | | | | | | | % 11.30/2.35 | | | | | | | | | | | End of split % 11.30/2.35 | | | | | | | | | | | % 11.30/2.35 | | | | | | | | | | Case 2: % 11.30/2.35 | | | | | | | | | | | % 11.30/2.35 | | | | | | | | | | | (175) ( ~ (all_4_9 = e3) & ~ (all_4_9 = e2) & ~ % 11.30/2.35 | | | | | | | | | | | (all_4_9 = e0) & ~ (all_4_9 = e1)) | ( ~ % 11.30/2.35 | | | | | | | | | | | (all_4_9 = e3) & ~ (all_4_12 = e3) & ~ % 11.30/2.35 | | | | | | | | | | | (all_4_19 = e3) & ~ (all_4_22 = e3)) | ( ~ % 11.30/2.35 | | | | | | | | | | | (all_4_9 = e2) & ~ (all_4_12 = e2) & ~ % 11.30/2.35 | | | | | | | | | | | (all_4_19 = e2) & ~ (all_4_22 = e2)) | ( ~ % 11.30/2.35 | | | | | | | | | | | (all_4_9 = e0) & ~ (all_4_12 = e0) & ~ % 11.30/2.35 | | | | | | | | | | | (all_4_19 = e0) & ~ (all_4_22 = e0)) | ( ~ % 11.30/2.35 | | | | | | | | | | | (all_4_9 = e1) & ~ (all_4_12 = e1) & ~ % 11.30/2.35 | | | | | | | | | | | (all_4_19 = e1) & ~ (all_4_22 = e1)) | ( ~ % 11.30/2.35 | | | | | | | | | | | (all_4_10 = e3) & ~ (all_4_10 = e2) & ~ % 11.30/2.35 | | | | | | | | | | | (all_4_10 = e0) & ~ (all_4_10 = e1)) | ( ~ % 11.30/2.35 | | | | | | | | | | | (all_4_10 = e3) & ~ (all_4_13 = e3) & ~ % 11.30/2.35 | | | | | | | | | | | (all_4_16 = e3) & ~ (all_4_23 = e3)) | ( ~ % 11.30/2.35 | | | | | | | | | | | (all_4_10 = e2) & ~ (all_4_13 = e2) & ~ % 11.30/2.35 | | | | | | | | | | | (all_4_16 = e2) & ~ (all_4_23 = e2)) | ( ~ % 11.30/2.35 | | | | | | | | | | | (all_4_10 = e0) & ~ (all_4_13 = e0) & ~ % 11.30/2.35 | | | | | | | | | | | (all_4_16 = e0) & ~ (all_4_23 = e0)) | ( ~ % 11.30/2.35 | | | | | | | | | | | (all_4_10 = e1) & ~ (all_4_13 = e1) & ~ % 11.30/2.35 | | | | | | | | | | | (all_4_16 = e1) & ~ (all_4_23 = e1)) | ( ~ % 11.30/2.35 | | | | | | | | | | | (all_4_11 = e3) & ~ (all_4_11 = e2) & ~ % 11.30/2.35 | | | | | | | | | | | (all_4_11 = e0) & ~ (all_4_11 = e1)) | ( ~ % 11.30/2.35 | | | | | | | | | | | (all_4_11 = e3) & ~ (all_4_12 = e3) & ~ % 11.30/2.35 | | | | | | | | | | | (all_4_13 = e3) & ~ (all_4_21 = e3)) | ( ~ % 11.30/2.35 | | | | | | | | | | | (all_4_11 = e3) & ~ (all_4_14 = e3) & ~ % 11.30/2.35 | | | | | | | | | | | (all_4_17 = e3) & ~ (all_4_20 = e3)) % 11.30/2.35 | | | | | | | | | | | % 11.30/2.35 | | | | | | | | | | | BETA: splitting (175) gives: % 11.30/2.35 | | | | | | | | | | | % 11.30/2.35 | | | | | | | | | | | Case 1: % 11.30/2.35 | | | | | | | | | | | | % 11.30/2.35 | | | | | | | | | | | | (176) ( ~ (all_4_9 = e3) & ~ (all_4_9 = e2) & ~ % 11.30/2.35 | | | | | | | | | | | | (all_4_9 = e0) & ~ (all_4_9 = e1)) | ( ~ % 11.30/2.35 | | | | | | | | | | | | (all_4_9 = e3) & ~ (all_4_12 = e3) & ~ % 11.30/2.35 | | | | | | | | | | | | (all_4_19 = e3) & ~ (all_4_22 = e3)) | ( ~ % 11.30/2.35 | | | | | | | | | | | | (all_4_9 = e2) & ~ (all_4_12 = e2) & ~ % 11.30/2.35 | | | | | | | | | | | | (all_4_19 = e2) & ~ (all_4_22 = e2)) | ( ~ % 11.30/2.35 | | | | | | | | | | | | (all_4_9 = e0) & ~ (all_4_12 = e0) & ~ % 11.30/2.35 | | | | | | | | | | | | (all_4_19 = e0) & ~ (all_4_22 = e0)) | ( ~ % 11.30/2.35 | | | | | | | | | | | | (all_4_9 = e1) & ~ (all_4_12 = e1) & ~ % 11.30/2.35 | | | | | | | | | | | | (all_4_19 = e1) & ~ (all_4_22 = e1)) | ( ~ % 11.30/2.35 | | | | | | | | | | | | (all_4_10 = e3) & ~ (all_4_10 = e2) & ~ % 11.30/2.35 | | | | | | | | | | | | (all_4_10 = e0) & ~ (all_4_10 = e1)) % 11.30/2.35 | | | | | | | | | | | | % 11.30/2.35 | | | | | | | | | | | | BETA: splitting (176) gives: % 11.30/2.35 | | | | | | | | | | | | % 11.30/2.35 | | | | | | | | | | | | Case 1: % 11.30/2.35 | | | | | | | | | | | | | % 11.30/2.35 | | | | | | | | | | | | | (177) ( ~ (all_4_9 = e3) & ~ (all_4_9 = e2) & ~ % 11.30/2.35 | | | | | | | | | | | | | (all_4_9 = e0) & ~ (all_4_9 = e1)) | ( ~ % 11.30/2.35 | | | | | | | | | | | | | (all_4_9 = e3) & ~ (all_4_12 = e3) & ~ % 11.30/2.35 | | | | | | | | | | | | | (all_4_19 = e3) & ~ (all_4_22 = e3)) | ( ~ % 11.30/2.35 | | | | | | | | | | | | | (all_4_9 = e2) & ~ (all_4_12 = e2) & ~ % 11.30/2.35 | | | | | | | | | | | | | (all_4_19 = e2) & ~ (all_4_22 = e2)) % 11.30/2.35 | | | | | | | | | | | | | % 11.30/2.35 | | | | | | | | | | | | | BETA: splitting (177) gives: % 11.30/2.35 | | | | | | | | | | | | | % 11.30/2.35 | | | | | | | | | | | | | Case 1: % 11.30/2.35 | | | | | | | | | | | | | | % 11.30/2.35 | | | | | | | | | | | | | | (178) ~ (all_4_9 = e3) & ~ (all_4_9 = e2) & ~ % 11.30/2.35 | | | | | | | | | | | | | | (all_4_9 = e0) & ~ (all_4_9 = e1) % 11.30/2.35 | | | | | | | | | | | | | | % 11.30/2.35 | | | | | | | | | | | | | | ALPHA: (178) implies: % 11.30/2.35 | | | | | | | | | | | | | | (179) ~ (all_4_9 = e2) % 11.30/2.35 | | | | | | | | | | | | | | % 11.30/2.35 | | | | | | | | | | | | | | REDUCE: (75), (179) imply: % 11.30/2.35 | | | | | | | | | | | | | | (180) $false % 11.30/2.35 | | | | | | | | | | | | | | % 11.30/2.35 | | | | | | | | | | | | | | CLOSE: (180) is inconsistent. % 11.30/2.35 | | | | | | | | | | | | | | % 11.30/2.35 | | | | | | | | | | | | | Case 2: % 11.30/2.35 | | | | | | | | | | | | | | % 11.30/2.35 | | | | | | | | | | | | | | (181) ( ~ (all_4_9 = e3) & ~ (all_4_12 = e3) & ~ % 11.30/2.35 | | | | | | | | | | | | | | (all_4_19 = e3) & ~ (all_4_22 = e3)) | ( ~ % 11.30/2.35 | | | | | | | | | | | | | | (all_4_9 = e2) & ~ (all_4_12 = e2) & ~ % 11.30/2.35 | | | | | | | | | | | | | | (all_4_19 = e2) & ~ (all_4_22 = e2)) % 11.30/2.35 | | | | | | | | | | | | | | % 11.30/2.35 | | | | | | | | | | | | | | BETA: splitting (181) gives: % 11.30/2.35 | | | | | | | | | | | | | | % 11.30/2.35 | | | | | | | | | | | | | | Case 1: % 11.30/2.35 | | | | | | | | | | | | | | | % 11.30/2.35 | | | | | | | | | | | | | | | (182) ~ (all_4_9 = e3) & ~ (all_4_12 = e3) & ~ % 11.30/2.35 | | | | | | | | | | | | | | | (all_4_19 = e3) & ~ (all_4_22 = e3) % 11.30/2.35 | | | | | | | | | | | | | | | % 11.30/2.35 | | | | | | | | | | | | | | | ALPHA: (182) implies: % 11.30/2.35 | | | | | | | | | | | | | | | (183) ~ (all_4_22 = e3) % 11.30/2.35 | | | | | | | | | | | | | | | % 11.30/2.35 | | | | | | | | | | | | | | | REDUCE: (56), (183) imply: % 11.30/2.35 | | | | | | | | | | | | | | | (184) $false % 11.30/2.35 | | | | | | | | | | | | | | | % 11.30/2.35 | | | | | | | | | | | | | | | CLOSE: (184) is inconsistent. % 11.30/2.35 | | | | | | | | | | | | | | | % 11.30/2.35 | | | | | | | | | | | | | | Case 2: % 11.30/2.35 | | | | | | | | | | | | | | | % 11.30/2.35 | | | | | | | | | | | | | | | (185) ~ (all_4_9 = e2) & ~ (all_4_12 = e2) & ~ % 11.30/2.35 | | | | | | | | | | | | | | | (all_4_19 = e2) & ~ (all_4_22 = e2) % 11.30/2.35 | | | | | | | | | | | | | | | % 11.30/2.35 | | | | | | | | | | | | | | | ALPHA: (185) implies: % 11.30/2.35 | | | | | | | | | | | | | | | (186) ~ (all_4_9 = e2) % 11.30/2.35 | | | | | | | | | | | | | | | % 11.30/2.35 | | | | | | | | | | | | | | | REDUCE: (75), (186) imply: % 11.30/2.35 | | | | | | | | | | | | | | | (187) $false % 11.30/2.35 | | | | | | | | | | | | | | | % 11.30/2.35 | | | | | | | | | | | | | | | CLOSE: (187) is inconsistent. % 11.30/2.35 | | | | | | | | | | | | | | | % 11.30/2.35 | | | | | | | | | | | | | | End of split % 11.30/2.35 | | | | | | | | | | | | | | % 11.30/2.35 | | | | | | | | | | | | | End of split % 11.30/2.35 | | | | | | | | | | | | | % 11.30/2.35 | | | | | | | | | | | | Case 2: % 11.30/2.35 | | | | | | | | | | | | | % 11.30/2.36 | | | | | | | | | | | | | (188) ( ~ (all_4_9 = e0) & ~ (all_4_12 = e0) & ~ % 11.30/2.36 | | | | | | | | | | | | | (all_4_19 = e0) & ~ (all_4_22 = e0)) | ( ~ % 11.30/2.36 | | | | | | | | | | | | | (all_4_9 = e1) & ~ (all_4_12 = e1) & ~ % 11.30/2.36 | | | | | | | | | | | | | (all_4_19 = e1) & ~ (all_4_22 = e1)) | ( ~ % 11.30/2.36 | | | | | | | | | | | | | (all_4_10 = e3) & ~ (all_4_10 = e2) & ~ % 11.30/2.36 | | | | | | | | | | | | | (all_4_10 = e0) & ~ (all_4_10 = e1)) % 11.30/2.36 | | | | | | | | | | | | | % 11.30/2.36 | | | | | | | | | | | | | BETA: splitting (188) gives: % 11.30/2.36 | | | | | | | | | | | | | % 11.30/2.36 | | | | | | | | | | | | | Case 1: % 11.30/2.36 | | | | | | | | | | | | | | % 11.30/2.36 | | | | | | | | | | | | | | (189) ~ (all_4_9 = e0) & ~ (all_4_12 = e0) & ~ % 11.30/2.36 | | | | | | | | | | | | | | (all_4_19 = e0) & ~ (all_4_22 = e0) % 11.30/2.36 | | | | | | | | | | | | | | % 11.30/2.36 | | | | | | | | | | | | | | ALPHA: (189) implies: % 11.30/2.36 | | | | | | | | | | | | | | (190) ~ (all_4_12 = e0) % 11.30/2.36 | | | | | | | | | | | | | | % 11.30/2.36 | | | | | | | | | | | | | | REDUCE: (70), (190) imply: % 11.30/2.36 | | | | | | | | | | | | | | (191) $false % 11.30/2.36 | | | | | | | | | | | | | | % 11.30/2.36 | | | | | | | | | | | | | | CLOSE: (191) is inconsistent. % 11.30/2.36 | | | | | | | | | | | | | | % 11.30/2.36 | | | | | | | | | | | | | Case 2: % 11.30/2.36 | | | | | | | | | | | | | | % 11.30/2.36 | | | | | | | | | | | | | | (192) ( ~ (all_4_9 = e1) & ~ (all_4_12 = e1) & ~ % 11.30/2.36 | | | | | | | | | | | | | | (all_4_19 = e1) & ~ (all_4_22 = e1)) | ( ~ % 11.30/2.36 | | | | | | | | | | | | | | (all_4_10 = e3) & ~ (all_4_10 = e2) & ~ % 11.30/2.36 | | | | | | | | | | | | | | (all_4_10 = e0) & ~ (all_4_10 = e1)) % 11.30/2.36 | | | | | | | | | | | | | | % 11.30/2.36 | | | | | | | | | | | | | | BETA: splitting (192) gives: % 11.30/2.36 | | | | | | | | | | | | | | % 11.30/2.36 | | | | | | | | | | | | | | Case 1: % 11.30/2.36 | | | | | | | | | | | | | | | % 11.30/2.36 | | | | | | | | | | | | | | | (193) ~ (all_4_9 = e1) & ~ (all_4_12 = e1) & ~ % 11.30/2.36 | | | | | | | | | | | | | | | (all_4_19 = e1) & ~ (all_4_22 = e1) % 11.30/2.36 | | | | | | | | | | | | | | | % 11.30/2.36 | | | | | | | | | | | | | | | ALPHA: (193) implies: % 11.30/2.36 | | | | | | | | | | | | | | | (194) ~ (all_4_19 = e1) % 11.30/2.36 | | | | | | | | | | | | | | | % 11.30/2.36 | | | | | | | | | | | | | | | REDUCE: (89), (194) imply: % 11.30/2.36 | | | | | | | | | | | | | | | (195) $false % 11.30/2.36 | | | | | | | | | | | | | | | % 11.30/2.36 | | | | | | | | | | | | | | | CLOSE: (195) is inconsistent. % 11.30/2.36 | | | | | | | | | | | | | | | % 11.30/2.36 | | | | | | | | | | | | | | Case 2: % 11.30/2.36 | | | | | | | | | | | | | | | % 11.30/2.36 | | | | | | | | | | | | | | | (196) ~ (all_4_10 = e3) & ~ (all_4_10 = e2) & ~ % 11.30/2.36 | | | | | | | | | | | | | | | (all_4_10 = e0) & ~ (all_4_10 = e1) % 11.30/2.36 | | | | | | | | | | | | | | | % 11.30/2.36 | | | | | | | | | | | | | | | ALPHA: (196) implies: % 11.30/2.36 | | | | | | | | | | | | | | | (197) ~ (all_4_10 = e3) % 11.30/2.36 | | | | | | | | | | | | | | | % 11.30/2.36 | | | | | | | | | | | | | | | REDUCE: (80), (197) imply: % 11.30/2.36 | | | | | | | | | | | | | | | (198) $false % 11.30/2.36 | | | | | | | | | | | | | | | % 11.30/2.36 | | | | | | | | | | | | | | | CLOSE: (198) is inconsistent. % 11.30/2.36 | | | | | | | | | | | | | | | % 11.30/2.36 | | | | | | | | | | | | | | End of split % 11.30/2.36 | | | | | | | | | | | | | | % 11.30/2.36 | | | | | | | | | | | | | End of split % 11.30/2.36 | | | | | | | | | | | | | % 11.30/2.36 | | | | | | | | | | | | End of split % 11.30/2.36 | | | | | | | | | | | | % 11.30/2.36 | | | | | | | | | | | Case 2: % 11.30/2.36 | | | | | | | | | | | | % 11.30/2.36 | | | | | | | | | | | | (199) ( ~ (all_4_10 = e3) & ~ (all_4_13 = e3) & ~ % 11.30/2.36 | | | | | | | | | | | | (all_4_16 = e3) & ~ (all_4_23 = e3)) | ( ~ % 11.30/2.36 | | | | | | | | | | | | (all_4_10 = e2) & ~ (all_4_13 = e2) & ~ % 11.30/2.36 | | | | | | | | | | | | (all_4_16 = e2) & ~ (all_4_23 = e2)) | ( ~ % 11.30/2.36 | | | | | | | | | | | | (all_4_10 = e0) & ~ (all_4_13 = e0) & ~ % 11.30/2.36 | | | | | | | | | | | | (all_4_16 = e0) & ~ (all_4_23 = e0)) | ( ~ % 11.30/2.36 | | | | | | | | | | | | (all_4_10 = e1) & ~ (all_4_13 = e1) & ~ % 11.30/2.36 | | | | | | | | | | | | (all_4_16 = e1) & ~ (all_4_23 = e1)) | ( ~ % 11.30/2.36 | | | | | | | | | | | | (all_4_11 = e3) & ~ (all_4_11 = e2) & ~ % 11.30/2.36 | | | | | | | | | | | | (all_4_11 = e0) & ~ (all_4_11 = e1)) | ( ~ % 11.30/2.36 | | | | | | | | | | | | (all_4_11 = e3) & ~ (all_4_12 = e3) & ~ % 11.30/2.36 | | | | | | | | | | | | (all_4_13 = e3) & ~ (all_4_21 = e3)) | ( ~ % 11.30/2.36 | | | | | | | | | | | | (all_4_11 = e3) & ~ (all_4_14 = e3) & ~ % 11.30/2.36 | | | | | | | | | | | | (all_4_17 = e3) & ~ (all_4_20 = e3)) % 11.30/2.36 | | | | | | | | | | | | % 11.30/2.36 | | | | | | | | | | | | BETA: splitting (199) gives: % 11.30/2.36 | | | | | | | | | | | | % 11.30/2.36 | | | | | | | | | | | | Case 1: % 11.30/2.36 | | | | | | | | | | | | | % 11.30/2.36 | | | | | | | | | | | | | (200) ( ~ (all_4_10 = e3) & ~ (all_4_13 = e3) & ~ % 11.30/2.36 | | | | | | | | | | | | | (all_4_16 = e3) & ~ (all_4_23 = e3)) | ( ~ % 11.30/2.36 | | | | | | | | | | | | | (all_4_10 = e2) & ~ (all_4_13 = e2) & ~ % 11.30/2.36 | | | | | | | | | | | | | (all_4_16 = e2) & ~ (all_4_23 = e2)) | ( ~ % 11.30/2.36 | | | | | | | | | | | | | (all_4_10 = e0) & ~ (all_4_13 = e0) & ~ % 11.30/2.36 | | | | | | | | | | | | | (all_4_16 = e0) & ~ (all_4_23 = e0)) % 11.30/2.36 | | | | | | | | | | | | | % 11.30/2.36 | | | | | | | | | | | | | BETA: splitting (200) gives: % 11.30/2.36 | | | | | | | | | | | | | % 11.30/2.36 | | | | | | | | | | | | | Case 1: % 11.30/2.36 | | | | | | | | | | | | | | % 11.30/2.36 | | | | | | | | | | | | | | (201) ~ (all_4_10 = e3) & ~ (all_4_13 = e3) & ~ % 11.30/2.36 | | | | | | | | | | | | | | (all_4_16 = e3) & ~ (all_4_23 = e3) % 11.30/2.36 | | | | | | | | | | | | | | % 11.30/2.36 | | | | | | | | | | | | | | ALPHA: (201) implies: % 11.30/2.36 | | | | | | | | | | | | | | (202) ~ (all_4_10 = e3) % 11.30/2.36 | | | | | | | | | | | | | | % 11.30/2.36 | | | | | | | | | | | | | | REDUCE: (80), (202) imply: % 11.30/2.36 | | | | | | | | | | | | | | (203) $false % 11.30/2.36 | | | | | | | | | | | | | | % 11.30/2.36 | | | | | | | | | | | | | | CLOSE: (203) is inconsistent. % 11.30/2.36 | | | | | | | | | | | | | | % 11.30/2.36 | | | | | | | | | | | | | Case 2: % 11.30/2.36 | | | | | | | | | | | | | | % 11.30/2.36 | | | | | | | | | | | | | | (204) ( ~ (all_4_10 = e2) & ~ (all_4_13 = e2) & ~ % 11.30/2.36 | | | | | | | | | | | | | | (all_4_16 = e2) & ~ (all_4_23 = e2)) | ( ~ % 11.30/2.36 | | | | | | | | | | | | | | (all_4_10 = e0) & ~ (all_4_13 = e0) & ~ % 11.30/2.36 | | | | | | | | | | | | | | (all_4_16 = e0) & ~ (all_4_23 = e0)) % 11.30/2.36 | | | | | | | | | | | | | | % 11.30/2.36 | | | | | | | | | | | | | | BETA: splitting (204) gives: % 11.30/2.36 | | | | | | | | | | | | | | % 11.30/2.36 | | | | | | | | | | | | | | Case 1: % 11.30/2.36 | | | | | | | | | | | | | | | % 11.30/2.36 | | | | | | | | | | | | | | | (205) ~ (all_4_10 = e2) & ~ (all_4_13 = e2) & ~ % 11.30/2.36 | | | | | | | | | | | | | | | (all_4_16 = e2) & ~ (all_4_23 = e2) % 11.30/2.36 | | | | | | | | | | | | | | | % 11.30/2.36 | | | | | | | | | | | | | | | ALPHA: (205) implies: % 11.30/2.36 | | | | | | | | | | | | | | | (206) ~ (all_4_13 = e2) % 11.30/2.36 | | | | | | | | | | | | | | | % 11.30/2.36 | | | | | | | | | | | | | | | REDUCE: (84), (206) imply: % 11.30/2.36 | | | | | | | | | | | | | | | (207) $false % 11.30/2.36 | | | | | | | | | | | | | | | % 11.30/2.36 | | | | | | | | | | | | | | | CLOSE: (207) is inconsistent. % 11.30/2.36 | | | | | | | | | | | | | | | % 11.30/2.36 | | | | | | | | | | | | | | Case 2: % 11.30/2.36 | | | | | | | | | | | | | | | % 11.30/2.36 | | | | | | | | | | | | | | | (208) ~ (all_4_10 = e0) & ~ (all_4_13 = e0) & ~ % 11.30/2.36 | | | | | | | | | | | | | | | (all_4_16 = e0) & ~ (all_4_23 = e0) % 11.30/2.36 | | | | | | | | | | | | | | | % 11.30/2.36 | | | | | | | | | | | | | | | ALPHA: (208) implies: % 11.30/2.36 | | | | | | | | | | | | | | | (209) ~ (all_4_23 = e0) % 11.30/2.36 | | | | | | | | | | | | | | | % 11.30/2.36 | | | | | | | | | | | | | | | REDUCE: (93), (209) imply: % 11.30/2.36 | | | | | | | | | | | | | | | (210) $false % 11.30/2.36 | | | | | | | | | | | | | | | % 11.30/2.36 | | | | | | | | | | | | | | | CLOSE: (210) is inconsistent. % 11.30/2.36 | | | | | | | | | | | | | | | % 11.30/2.36 | | | | | | | | | | | | | | End of split % 11.30/2.36 | | | | | | | | | | | | | | % 11.30/2.36 | | | | | | | | | | | | | End of split % 11.30/2.36 | | | | | | | | | | | | | % 11.30/2.36 | | | | | | | | | | | | Case 2: % 11.30/2.36 | | | | | | | | | | | | | % 11.30/2.36 | | | | | | | | | | | | | (211) ( ~ (all_4_10 = e1) & ~ (all_4_13 = e1) & ~ % 11.30/2.36 | | | | | | | | | | | | | (all_4_16 = e1) & ~ (all_4_23 = e1)) | ( ~ % 11.30/2.36 | | | | | | | | | | | | | (all_4_11 = e3) & ~ (all_4_11 = e2) & ~ % 11.30/2.36 | | | | | | | | | | | | | (all_4_11 = e0) & ~ (all_4_11 = e1)) | ( ~ % 11.30/2.36 | | | | | | | | | | | | | (all_4_11 = e3) & ~ (all_4_12 = e3) & ~ % 11.30/2.36 | | | | | | | | | | | | | (all_4_13 = e3) & ~ (all_4_21 = e3)) | ( ~ % 11.30/2.36 | | | | | | | | | | | | | (all_4_11 = e3) & ~ (all_4_14 = e3) & ~ % 11.30/2.36 | | | | | | | | | | | | | (all_4_17 = e3) & ~ (all_4_20 = e3)) % 11.30/2.36 | | | | | | | | | | | | | % 11.30/2.36 | | | | | | | | | | | | | BETA: splitting (211) gives: % 11.30/2.36 | | | | | | | | | | | | | % 11.30/2.36 | | | | | | | | | | | | | Case 1: % 11.30/2.36 | | | | | | | | | | | | | | % 11.30/2.36 | | | | | | | | | | | | | | (212) ( ~ (all_4_10 = e1) & ~ (all_4_13 = e1) & ~ % 11.30/2.36 | | | | | | | | | | | | | | (all_4_16 = e1) & ~ (all_4_23 = e1)) | ( ~ % 11.30/2.36 | | | | | | | | | | | | | | (all_4_11 = e3) & ~ (all_4_11 = e2) & ~ % 11.30/2.36 | | | | | | | | | | | | | | (all_4_11 = e0) & ~ (all_4_11 = e1)) % 11.30/2.36 | | | | | | | | | | | | | | % 11.30/2.36 | | | | | | | | | | | | | | BETA: splitting (212) gives: % 11.30/2.36 | | | | | | | | | | | | | | % 11.30/2.36 | | | | | | | | | | | | | | Case 1: % 11.30/2.36 | | | | | | | | | | | | | | | % 11.30/2.36 | | | | | | | | | | | | | | | (213) ~ (all_4_10 = e1) & ~ (all_4_13 = e1) & ~ % 11.30/2.36 | | | | | | | | | | | | | | | (all_4_16 = e1) & ~ (all_4_23 = e1) % 11.30/2.36 | | | | | | | | | | | | | | | % 11.30/2.36 | | | | | | | | | | | | | | | ALPHA: (213) implies: % 11.30/2.36 | | | | | | | | | | | | | | | (214) ~ (all_4_16 = e1) % 11.30/2.36 | | | | | | | | | | | | | | | % 11.30/2.36 | | | | | | | | | | | | | | | REDUCE: (88), (214) imply: % 11.30/2.36 | | | | | | | | | | | | | | | (215) $false % 11.30/2.36 | | | | | | | | | | | | | | | % 11.30/2.36 | | | | | | | | | | | | | | | CLOSE: (215) is inconsistent. % 11.30/2.36 | | | | | | | | | | | | | | | % 11.30/2.36 | | | | | | | | | | | | | | Case 2: % 11.30/2.36 | | | | | | | | | | | | | | | % 11.30/2.36 | | | | | | | | | | | | | | | (216) ~ (all_4_11 = e3) & ~ (all_4_11 = e2) & ~ % 11.30/2.36 | | | | | | | | | | | | | | | (all_4_11 = e0) & ~ (all_4_11 = e1) % 11.30/2.36 | | | | | | | | | | | | | | | % 11.30/2.36 | | | | | | | | | | | | | | | ALPHA: (216) implies: % 11.30/2.36 | | | | | | | | | | | | | | | (217) ~ (all_4_11 = e1) % 11.30/2.36 | | | | | | | | | | | | | | | % 11.30/2.36 | | | | | | | | | | | | | | | REDUCE: (74), (217) imply: % 11.30/2.36 | | | | | | | | | | | | | | | (218) $false % 11.30/2.36 | | | | | | | | | | | | | | | % 11.30/2.36 | | | | | | | | | | | | | | | CLOSE: (218) is inconsistent. % 11.30/2.36 | | | | | | | | | | | | | | | % 11.30/2.36 | | | | | | | | | | | | | | End of split % 11.30/2.36 | | | | | | | | | | | | | | % 11.30/2.36 | | | | | | | | | | | | | Case 2: % 11.30/2.36 | | | | | | | | | | | | | | % 11.30/2.36 | | | | | | | | | | | | | | (219) ( ~ (all_4_11 = e3) & ~ (all_4_12 = e3) & ~ % 11.30/2.36 | | | | | | | | | | | | | | (all_4_13 = e3) & ~ (all_4_21 = e3)) | ( ~ % 11.30/2.36 | | | | | | | | | | | | | | (all_4_11 = e3) & ~ (all_4_14 = e3) & ~ % 11.30/2.36 | | | | | | | | | | | | | | (all_4_17 = e3) & ~ (all_4_20 = e3)) % 11.30/2.36 | | | | | | | | | | | | | | % 11.30/2.36 | | | | | | | | | | | | | | BETA: splitting (219) gives: % 11.30/2.36 | | | | | | | | | | | | | | % 11.30/2.36 | | | | | | | | | | | | | | Case 1: % 11.30/2.36 | | | | | | | | | | | | | | | % 11.30/2.36 | | | | | | | | | | | | | | | (220) ~ (all_4_11 = e3) & ~ (all_4_12 = e3) & ~ % 11.30/2.36 | | | | | | | | | | | | | | | (all_4_13 = e3) & ~ (all_4_21 = e3) % 11.30/2.36 | | | | | | | | | | | | | | | % 11.30/2.36 | | | | | | | | | | | | | | | ALPHA: (220) implies: % 11.30/2.36 | | | | | | | | | | | | | | | (221) ~ (all_4_21 = e3) % 11.30/2.36 | | | | | | | | | | | | | | | % 11.30/2.36 | | | | | | | | | | | | | | | REDUCE: (73), (221) imply: % 11.30/2.36 | | | | | | | | | | | | | | | (222) $false % 11.30/2.36 | | | | | | | | | | | | | | | % 11.30/2.36 | | | | | | | | | | | | | | | CLOSE: (222) is inconsistent. % 11.30/2.36 | | | | | | | | | | | | | | | % 11.30/2.36 | | | | | | | | | | | | | | Case 2: % 11.30/2.36 | | | | | | | | | | | | | | | % 11.30/2.36 | | | | | | | | | | | | | | | (223) ~ (all_4_11 = e3) & ~ (all_4_14 = e3) & ~ % 11.30/2.36 | | | | | | | | | | | | | | | (all_4_17 = e3) & ~ (all_4_20 = e3) % 11.30/2.36 | | | | | | | | | | | | | | | % 11.30/2.36 | | | | | | | | | | | | | | | ALPHA: (223) implies: % 11.30/2.36 | | | | | | | | | | | | | | | (224) ~ (all_4_17 = e3) % 11.30/2.36 | | | | | | | | | | | | | | | % 11.30/2.36 | | | | | | | | | | | | | | | REDUCE: (82), (224) imply: % 11.30/2.36 | | | | | | | | | | | | | | | (225) $false % 11.30/2.36 | | | | | | | | | | | | | | | % 11.30/2.36 | | | | | | | | | | | | | | | CLOSE: (225) is inconsistent. % 11.30/2.36 | | | | | | | | | | | | | | | % 11.30/2.36 | | | | | | | | | | | | | | End of split % 11.30/2.36 | | | | | | | | | | | | | | % 11.30/2.36 | | | | | | | | | | | | | End of split % 11.30/2.36 | | | | | | | | | | | | | % 11.30/2.36 | | | | | | | | | | | | End of split % 11.30/2.36 | | | | | | | | | | | | % 11.30/2.36 | | | | | | | | | | | End of split % 11.30/2.36 | | | | | | | | | | | % 11.30/2.36 | | | | | | | | | | End of split % 11.30/2.36 | | | | | | | | | | % 11.30/2.36 | | | | | | | | | Case 2: % 11.30/2.36 | | | | | | | | | | % 11.30/2.37 | | | | | | | | | | (226) ( ~ (all_4_11 = e2) & ~ (all_4_12 = e2) & ~ % 11.30/2.37 | | | | | | | | | | (all_4_13 = e2) & ~ (all_4_21 = e2)) | ( ~ % 11.30/2.37 | | | | | | | | | | (all_4_11 = e2) & ~ (all_4_14 = e2) & ~ % 11.30/2.37 | | | | | | | | | | (all_4_17 = e2) & ~ (all_4_20 = e2)) | ( ~ % 11.30/2.37 | | | | | | | | | | (all_4_11 = e0) & ~ (all_4_12 = e0) & ~ % 11.30/2.37 | | | | | | | | | | (all_4_13 = e0) & ~ (all_4_21 = e0)) | ( ~ % 11.30/2.37 | | | | | | | | | | (all_4_11 = e0) & ~ (all_4_14 = e0) & ~ % 11.30/2.37 | | | | | | | | | | (all_4_17 = e0) & ~ (all_4_20 = e0)) | ( ~ % 11.30/2.37 | | | | | | | | | | (all_4_11 = e1) & ~ (all_4_12 = e1) & ~ % 11.30/2.37 | | | | | | | | | | (all_4_13 = e1) & ~ (all_4_21 = e1)) | ( ~ % 11.30/2.37 | | | | | | | | | | (all_4_11 = e1) & ~ (all_4_14 = e1) & ~ % 11.30/2.37 | | | | | | | | | | (all_4_17 = e1) & ~ (all_4_20 = e1)) | ( ~ % 11.30/2.37 | | | | | | | | | | (all_4_12 = e3) & ~ (all_4_12 = e2) & ~ % 11.30/2.37 | | | | | | | | | | (all_4_12 = e0) & ~ (all_4_12 = e1)) | ( ~ % 11.30/2.37 | | | | | | | | | | (all_4_13 = e3) & ~ (all_4_13 = e2) & ~ % 11.30/2.37 | | | | | | | | | | (all_4_13 = e0) & ~ (all_4_13 = e1)) | ( ~ % 11.30/2.37 | | | | | | | | | | (all_4_14 = e3) & ~ (all_4_14 = e2) & ~ % 11.30/2.37 | | | | | | | | | | (all_4_14 = e0) & ~ (all_4_14 = e1)) | ( ~ % 11.30/2.37 | | | | | | | | | | (all_4_14 = e3) & ~ (all_4_15 = e3) & ~ % 11.30/2.37 | | | | | | | | | | (all_4_16 = e3) & ~ (all_4_22 = e3)) | ( ~ % 11.30/2.37 | | | | | | | | | | (all_4_14 = e2) & ~ (all_4_15 = e2) & ~ % 11.30/2.37 | | | | | | | | | | (all_4_16 = e2) & ~ (all_4_22 = e2)) | ( ~ % 11.30/2.37 | | | | | | | | | | (all_4_14 = e0) & ~ (all_4_15 = e0) & ~ % 11.30/2.37 | | | | | | | | | | (all_4_16 = e0) & ~ (all_4_22 = e0)) | ( ~ % 11.30/2.37 | | | | | | | | | | (all_4_14 = e1) & ~ (all_4_15 = e1) & ~ % 11.30/2.37 | | | | | | | | | | (all_4_16 = e1) & ~ (all_4_22 = e1)) | ( ~ % 11.30/2.37 | | | | | | | | | | (all_4_15 = e3) & ~ (all_4_15 = e2) & ~ % 11.30/2.37 | | | | | | | | | | (all_4_15 = e0) & ~ (all_4_15 = e1)) | ( ~ % 11.30/2.37 | | | | | | | | | | (all_4_16 = e3) & ~ (all_4_16 = e2) & ~ % 11.30/2.37 | | | | | | | | | | (all_4_16 = e0) & ~ (all_4_16 = e1)) | ( ~ % 11.30/2.37 | | | | | | | | | | (all_4_17 = e3) & ~ (all_4_17 = e2) & ~ % 11.30/2.37 | | | | | | | | | | (all_4_17 = e0) & ~ (all_4_17 = e1)) | ( ~ % 11.30/2.37 | | | | | | | | | | (all_4_17 = e3) & ~ (all_4_18 = e3) & ~ % 11.30/2.37 | | | | | | | | | | (all_4_19 = e3) & ~ (all_4_23 = e3)) | ( ~ % 11.30/2.37 | | | | | | | | | | (all_4_17 = e2) & ~ (all_4_18 = e2) & ~ % 11.30/2.37 | | | | | | | | | | (all_4_19 = e2) & ~ (all_4_23 = e2)) | ( ~ % 11.30/2.37 | | | | | | | | | | (all_4_17 = e0) & ~ (all_4_18 = e0) & ~ % 11.30/2.37 | | | | | | | | | | (all_4_19 = e0) & ~ (all_4_23 = e0)) | ( ~ % 11.30/2.37 | | | | | | | | | | (all_4_17 = e1) & ~ (all_4_18 = e1) & ~ % 11.30/2.37 | | | | | | | | | | (all_4_19 = e1) & ~ (all_4_23 = e1)) | ( ~ % 11.30/2.37 | | | | | | | | | | (all_4_18 = e3) & ~ (all_4_18 = e2) & ~ % 11.30/2.37 | | | | | | | | | | (all_4_18 = e0) & ~ (all_4_18 = e1)) | ( ~ % 11.30/2.37 | | | | | | | | | | (all_4_19 = e3) & ~ (all_4_19 = e2) & ~ % 11.30/2.37 | | | | | | | | | | (all_4_19 = e0) & ~ (all_4_19 = e1)) | ( ~ % 11.30/2.37 | | | | | | | | | | (all_4_20 = e3) & ~ (all_4_20 = e2) & ~ % 11.30/2.37 | | | | | | | | | | (all_4_20 = e0) & ~ (all_4_20 = e1)) | ( ~ % 11.30/2.37 | | | | | | | | | | (all_4_21 = e3) & ~ (all_4_21 = e2) & ~ % 11.30/2.37 | | | | | | | | | | (all_4_21 = e0) & ~ (all_4_21 = e1)) | ( ~ % 11.30/2.37 | | | | | | | | | | (all_4_22 = e3) & ~ (all_4_22 = e2) & ~ % 11.30/2.37 | | | | | | | | | | (all_4_22 = e0) & ~ (all_4_22 = e1)) | ( ~ % 11.30/2.37 | | | | | | | | | | (all_4_23 = e3) & ~ (all_4_23 = e2) & ~ % 11.30/2.37 | | | | | | | | | | (all_4_23 = e0) & ~ (all_4_23 = e1)) | ( ~ (unit % 11.30/2.37 | | | | | | | | | | = e3) & ~ (unit = e2) & ~ (unit = e0) & ~ % 11.30/2.37 | | | | | | | | | | (unit = e1)) % 11.30/2.37 | | | | | | | | | | % 11.30/2.37 | | | | | | | | | | BETA: splitting (226) gives: % 11.30/2.37 | | | | | | | | | | % 11.30/2.37 | | | | | | | | | | Case 1: % 11.30/2.37 | | | | | | | | | | | % 11.30/2.37 | | | | | | | | | | | (227) ( ~ (all_4_11 = e2) & ~ (all_4_12 = e2) & ~ % 11.30/2.37 | | | | | | | | | | | (all_4_13 = e2) & ~ (all_4_21 = e2)) | ( ~ % 11.30/2.37 | | | | | | | | | | | (all_4_11 = e2) & ~ (all_4_14 = e2) & ~ % 11.30/2.37 | | | | | | | | | | | (all_4_17 = e2) & ~ (all_4_20 = e2)) | ( ~ % 11.30/2.37 | | | | | | | | | | | (all_4_11 = e0) & ~ (all_4_12 = e0) & ~ % 11.30/2.37 | | | | | | | | | | | (all_4_13 = e0) & ~ (all_4_21 = e0)) | ( ~ % 11.30/2.37 | | | | | | | | | | | (all_4_11 = e0) & ~ (all_4_14 = e0) & ~ % 11.30/2.37 | | | | | | | | | | | (all_4_17 = e0) & ~ (all_4_20 = e0)) | ( ~ % 11.30/2.37 | | | | | | | | | | | (all_4_11 = e1) & ~ (all_4_12 = e1) & ~ % 11.30/2.37 | | | | | | | | | | | (all_4_13 = e1) & ~ (all_4_21 = e1)) | ( ~ % 11.30/2.37 | | | | | | | | | | | (all_4_11 = e1) & ~ (all_4_14 = e1) & ~ % 11.30/2.37 | | | | | | | | | | | (all_4_17 = e1) & ~ (all_4_20 = e1)) | ( ~ % 11.30/2.37 | | | | | | | | | | | (all_4_12 = e3) & ~ (all_4_12 = e2) & ~ % 11.30/2.37 | | | | | | | | | | | (all_4_12 = e0) & ~ (all_4_12 = e1)) | ( ~ % 11.30/2.37 | | | | | | | | | | | (all_4_13 = e3) & ~ (all_4_13 = e2) & ~ % 11.30/2.37 | | | | | | | | | | | (all_4_13 = e0) & ~ (all_4_13 = e1)) | ( ~ % 11.30/2.37 | | | | | | | | | | | (all_4_14 = e3) & ~ (all_4_14 = e2) & ~ % 11.30/2.37 | | | | | | | | | | | (all_4_14 = e0) & ~ (all_4_14 = e1)) | ( ~ % 11.30/2.37 | | | | | | | | | | | (all_4_14 = e3) & ~ (all_4_15 = e3) & ~ % 11.30/2.37 | | | | | | | | | | | (all_4_16 = e3) & ~ (all_4_22 = e3)) | ( ~ % 11.30/2.37 | | | | | | | | | | | (all_4_14 = e2) & ~ (all_4_15 = e2) & ~ % 11.30/2.37 | | | | | | | | | | | (all_4_16 = e2) & ~ (all_4_22 = e2)) | ( ~ % 11.30/2.37 | | | | | | | | | | | (all_4_14 = e0) & ~ (all_4_15 = e0) & ~ % 11.30/2.37 | | | | | | | | | | | (all_4_16 = e0) & ~ (all_4_22 = e0)) | ( ~ % 11.30/2.37 | | | | | | | | | | | (all_4_14 = e1) & ~ (all_4_15 = e1) & ~ % 11.30/2.37 | | | | | | | | | | | (all_4_16 = e1) & ~ (all_4_22 = e1)) % 11.30/2.37 | | | | | | | | | | | % 11.30/2.37 | | | | | | | | | | | BETA: splitting (227) gives: % 11.30/2.37 | | | | | | | | | | | % 11.30/2.37 | | | | | | | | | | | Case 1: % 11.30/2.37 | | | | | | | | | | | | % 11.30/2.37 | | | | | | | | | | | | (228) ( ~ (all_4_11 = e2) & ~ (all_4_12 = e2) & ~ % 11.30/2.37 | | | | | | | | | | | | (all_4_13 = e2) & ~ (all_4_21 = e2)) | ( ~ % 11.30/2.37 | | | | | | | | | | | | (all_4_11 = e2) & ~ (all_4_14 = e2) & ~ % 11.30/2.37 | | | | | | | | | | | | (all_4_17 = e2) & ~ (all_4_20 = e2)) | ( ~ % 11.30/2.37 | | | | | | | | | | | | (all_4_11 = e0) & ~ (all_4_12 = e0) & ~ % 11.30/2.37 | | | | | | | | | | | | (all_4_13 = e0) & ~ (all_4_21 = e0)) | ( ~ % 11.30/2.37 | | | | | | | | | | | | (all_4_11 = e0) & ~ (all_4_14 = e0) & ~ % 11.30/2.37 | | | | | | | | | | | | (all_4_17 = e0) & ~ (all_4_20 = e0)) | ( ~ % 11.30/2.37 | | | | | | | | | | | | (all_4_11 = e1) & ~ (all_4_12 = e1) & ~ % 11.30/2.37 | | | | | | | | | | | | (all_4_13 = e1) & ~ (all_4_21 = e1)) | ( ~ % 11.30/2.37 | | | | | | | | | | | | (all_4_11 = e1) & ~ (all_4_14 = e1) & ~ % 11.30/2.37 | | | | | | | | | | | | (all_4_17 = e1) & ~ (all_4_20 = e1)) % 11.30/2.37 | | | | | | | | | | | | % 11.30/2.37 | | | | | | | | | | | | BETA: splitting (228) gives: % 11.30/2.37 | | | | | | | | | | | | % 11.30/2.37 | | | | | | | | | | | | Case 1: % 11.30/2.37 | | | | | | | | | | | | | % 11.30/2.37 | | | | | | | | | | | | | (229) ( ~ (all_4_11 = e2) & ~ (all_4_12 = e2) & ~ % 11.30/2.37 | | | | | | | | | | | | | (all_4_13 = e2) & ~ (all_4_21 = e2)) | ( ~ % 11.30/2.37 | | | | | | | | | | | | | (all_4_11 = e2) & ~ (all_4_14 = e2) & ~ % 11.30/2.37 | | | | | | | | | | | | | (all_4_17 = e2) & ~ (all_4_20 = e2)) | ( ~ % 11.30/2.37 | | | | | | | | | | | | | (all_4_11 = e0) & ~ (all_4_12 = e0) & ~ % 11.30/2.37 | | | | | | | | | | | | | (all_4_13 = e0) & ~ (all_4_21 = e0)) % 11.30/2.37 | | | | | | | | | | | | | % 11.30/2.37 | | | | | | | | | | | | | BETA: splitting (229) gives: % 11.30/2.37 | | | | | | | | | | | | | % 11.30/2.37 | | | | | | | | | | | | | Case 1: % 11.30/2.37 | | | | | | | | | | | | | | % 11.30/2.37 | | | | | | | | | | | | | | (230) ~ (all_4_11 = e2) & ~ (all_4_12 = e2) & ~ % 11.30/2.37 | | | | | | | | | | | | | | (all_4_13 = e2) & ~ (all_4_21 = e2) % 11.30/2.37 | | | | | | | | | | | | | | % 11.30/2.37 | | | | | | | | | | | | | | ALPHA: (230) implies: % 11.30/2.37 | | | | | | | | | | | | | | (231) ~ (all_4_13 = e2) % 11.30/2.37 | | | | | | | | | | | | | | % 11.30/2.37 | | | | | | | | | | | | | | REDUCE: (84), (231) imply: % 11.30/2.37 | | | | | | | | | | | | | | (232) $false % 11.30/2.37 | | | | | | | | | | | | | | % 11.30/2.37 | | | | | | | | | | | | | | CLOSE: (232) is inconsistent. % 11.30/2.37 | | | | | | | | | | | | | | % 11.30/2.37 | | | | | | | | | | | | | Case 2: % 11.30/2.37 | | | | | | | | | | | | | | % 11.30/2.37 | | | | | | | | | | | | | | (233) ( ~ (all_4_11 = e2) & ~ (all_4_14 = e2) & ~ % 11.30/2.37 | | | | | | | | | | | | | | (all_4_17 = e2) & ~ (all_4_20 = e2)) | ( ~ % 11.30/2.37 | | | | | | | | | | | | | | (all_4_11 = e0) & ~ (all_4_12 = e0) & ~ % 11.30/2.37 | | | | | | | | | | | | | | (all_4_13 = e0) & ~ (all_4_21 = e0)) % 11.30/2.37 | | | | | | | | | | | | | | % 11.30/2.37 | | | | | | | | | | | | | | BETA: splitting (233) gives: % 11.30/2.37 | | | | | | | | | | | | | | % 11.30/2.37 | | | | | | | | | | | | | | Case 1: % 11.30/2.37 | | | | | | | | | | | | | | | % 11.30/2.37 | | | | | | | | | | | | | | | (234) ~ (all_4_11 = e2) & ~ (all_4_14 = e2) & ~ % 11.30/2.37 | | | | | | | | | | | | | | | (all_4_17 = e2) & ~ (all_4_20 = e2) % 11.30/2.37 | | | | | | | | | | | | | | | % 11.30/2.37 | | | | | | | | | | | | | | | ALPHA: (234) implies: % 11.75/2.37 | | | | | | | | | | | | | | | (235) ~ (all_4_14 = e2) % 11.75/2.37 | | | | | | | | | | | | | | | % 11.75/2.37 | | | | | | | | | | | | | | | REDUCE: (60), (235) imply: % 11.75/2.37 | | | | | | | | | | | | | | | (236) $false % 11.75/2.37 | | | | | | | | | | | | | | | % 11.75/2.37 | | | | | | | | | | | | | | | CLOSE: (236) is inconsistent. % 11.75/2.37 | | | | | | | | | | | | | | | % 11.75/2.37 | | | | | | | | | | | | | | Case 2: % 11.75/2.37 | | | | | | | | | | | | | | | % 11.75/2.37 | | | | | | | | | | | | | | | (237) ~ (all_4_11 = e0) & ~ (all_4_12 = e0) & ~ % 11.75/2.37 | | | | | | | | | | | | | | | (all_4_13 = e0) & ~ (all_4_21 = e0) % 11.75/2.37 | | | | | | | | | | | | | | | % 11.75/2.37 | | | | | | | | | | | | | | | ALPHA: (237) implies: % 11.75/2.37 | | | | | | | | | | | | | | | (238) ~ (all_4_12 = e0) % 11.75/2.37 | | | | | | | | | | | | | | | % 11.75/2.37 | | | | | | | | | | | | | | | REDUCE: (70), (238) imply: % 11.75/2.37 | | | | | | | | | | | | | | | (239) $false % 11.75/2.37 | | | | | | | | | | | | | | | % 11.75/2.37 | | | | | | | | | | | | | | | CLOSE: (239) is inconsistent. % 11.75/2.37 | | | | | | | | | | | | | | | % 11.75/2.37 | | | | | | | | | | | | | | End of split % 11.75/2.37 | | | | | | | | | | | | | | % 11.75/2.37 | | | | | | | | | | | | | End of split % 11.75/2.37 | | | | | | | | | | | | | % 11.75/2.37 | | | | | | | | | | | | Case 2: % 11.75/2.37 | | | | | | | | | | | | | % 11.75/2.37 | | | | | | | | | | | | | (240) ( ~ (all_4_11 = e0) & ~ (all_4_14 = e0) & ~ % 11.75/2.37 | | | | | | | | | | | | | (all_4_17 = e0) & ~ (all_4_20 = e0)) | ( ~ % 11.75/2.37 | | | | | | | | | | | | | (all_4_11 = e1) & ~ (all_4_12 = e1) & ~ % 11.75/2.37 | | | | | | | | | | | | | (all_4_13 = e1) & ~ (all_4_21 = e1)) | ( ~ % 11.75/2.37 | | | | | | | | | | | | | (all_4_11 = e1) & ~ (all_4_14 = e1) & ~ % 11.75/2.37 | | | | | | | | | | | | | (all_4_17 = e1) & ~ (all_4_20 = e1)) % 11.75/2.37 | | | | | | | | | | | | | % 11.75/2.37 | | | | | | | | | | | | | BETA: splitting (240) gives: % 11.75/2.37 | | | | | | | | | | | | | % 11.75/2.37 | | | | | | | | | | | | | Case 1: % 11.75/2.37 | | | | | | | | | | | | | | % 11.75/2.37 | | | | | | | | | | | | | | (241) ~ (all_4_11 = e0) & ~ (all_4_14 = e0) & ~ % 11.75/2.37 | | | | | | | | | | | | | | (all_4_17 = e0) & ~ (all_4_20 = e0) % 11.75/2.37 | | | | | | | | | | | | | | % 11.75/2.37 | | | | | | | | | | | | | | ALPHA: (241) implies: % 11.75/2.37 | | | | | | | | | | | | | | (242) ~ (all_4_20 = e0) % 11.75/2.37 | | | | | | | | | | | | | | % 11.75/2.37 | | | | | | | | | | | | | | REDUCE: (79), (242) imply: % 11.75/2.37 | | | | | | | | | | | | | | (243) $false % 11.75/2.37 | | | | | | | | | | | | | | % 11.75/2.37 | | | | | | | | | | | | | | CLOSE: (243) is inconsistent. % 11.75/2.37 | | | | | | | | | | | | | | % 11.75/2.37 | | | | | | | | | | | | | Case 2: % 11.75/2.37 | | | | | | | | | | | | | | % 11.75/2.37 | | | | | | | | | | | | | | (244) ( ~ (all_4_11 = e1) & ~ (all_4_12 = e1) & ~ % 11.75/2.37 | | | | | | | | | | | | | | (all_4_13 = e1) & ~ (all_4_21 = e1)) | ( ~ % 11.75/2.37 | | | | | | | | | | | | | | (all_4_11 = e1) & ~ (all_4_14 = e1) & ~ % 11.75/2.37 | | | | | | | | | | | | | | (all_4_17 = e1) & ~ (all_4_20 = e1)) % 11.75/2.37 | | | | | | | | | | | | | | % 11.75/2.37 | | | | | | | | | | | | | | BETA: splitting (244) gives: % 11.75/2.37 | | | | | | | | | | | | | | % 11.75/2.37 | | | | | | | | | | | | | | Case 1: % 11.75/2.37 | | | | | | | | | | | | | | | % 11.75/2.37 | | | | | | | | | | | | | | | (245) ~ (all_4_11 = e1) & ~ (all_4_12 = e1) & ~ % 11.75/2.37 | | | | | | | | | | | | | | | (all_4_13 = e1) & ~ (all_4_21 = e1) % 11.75/2.37 | | | | | | | | | | | | | | | % 11.75/2.37 | | | | | | | | | | | | | | | ALPHA: (245) implies: % 11.75/2.37 | | | | | | | | | | | | | | | (246) ~ (all_4_11 = e1) % 11.75/2.37 | | | | | | | | | | | | | | | % 11.75/2.37 | | | | | | | | | | | | | | | REDUCE: (74), (246) imply: % 11.75/2.37 | | | | | | | | | | | | | | | (247) $false % 11.75/2.37 | | | | | | | | | | | | | | | % 11.75/2.37 | | | | | | | | | | | | | | | CLOSE: (247) is inconsistent. % 11.75/2.37 | | | | | | | | | | | | | | | % 11.75/2.37 | | | | | | | | | | | | | | Case 2: % 11.75/2.37 | | | | | | | | | | | | | | | % 11.75/2.37 | | | | | | | | | | | | | | | (248) ~ (all_4_11 = e1) & ~ (all_4_14 = e1) & ~ % 11.75/2.37 | | | | | | | | | | | | | | | (all_4_17 = e1) & ~ (all_4_20 = e1) % 11.75/2.37 | | | | | | | | | | | | | | | % 11.75/2.37 | | | | | | | | | | | | | | | ALPHA: (248) implies: % 11.75/2.37 | | | | | | | | | | | | | | | (249) ~ (all_4_11 = e1) % 11.75/2.37 | | | | | | | | | | | | | | | % 11.75/2.37 | | | | | | | | | | | | | | | REDUCE: (74), (249) imply: % 11.75/2.37 | | | | | | | | | | | | | | | (250) $false % 11.75/2.37 | | | | | | | | | | | | | | | % 11.75/2.37 | | | | | | | | | | | | | | | CLOSE: (250) is inconsistent. % 11.75/2.37 | | | | | | | | | | | | | | | % 11.75/2.37 | | | | | | | | | | | | | | End of split % 11.75/2.37 | | | | | | | | | | | | | | % 11.75/2.37 | | | | | | | | | | | | | End of split % 11.75/2.37 | | | | | | | | | | | | | % 11.75/2.37 | | | | | | | | | | | | End of split % 11.75/2.37 | | | | | | | | | | | | % 11.75/2.37 | | | | | | | | | | | Case 2: % 11.75/2.37 | | | | | | | | | | | | % 11.75/2.37 | | | | | | | | | | | | (251) ( ~ (all_4_12 = e3) & ~ (all_4_12 = e2) & ~ % 11.75/2.37 | | | | | | | | | | | | (all_4_12 = e0) & ~ (all_4_12 = e1)) | ( ~ % 11.75/2.37 | | | | | | | | | | | | (all_4_13 = e3) & ~ (all_4_13 = e2) & ~ % 11.75/2.37 | | | | | | | | | | | | (all_4_13 = e0) & ~ (all_4_13 = e1)) | ( ~ % 11.75/2.37 | | | | | | | | | | | | (all_4_14 = e3) & ~ (all_4_14 = e2) & ~ % 11.75/2.37 | | | | | | | | | | | | (all_4_14 = e0) & ~ (all_4_14 = e1)) | ( ~ % 11.75/2.37 | | | | | | | | | | | | (all_4_14 = e3) & ~ (all_4_15 = e3) & ~ % 11.75/2.37 | | | | | | | | | | | | (all_4_16 = e3) & ~ (all_4_22 = e3)) | ( ~ % 11.75/2.37 | | | | | | | | | | | | (all_4_14 = e2) & ~ (all_4_15 = e2) & ~ % 11.75/2.37 | | | | | | | | | | | | (all_4_16 = e2) & ~ (all_4_22 = e2)) | ( ~ % 11.75/2.37 | | | | | | | | | | | | (all_4_14 = e0) & ~ (all_4_15 = e0) & ~ % 11.75/2.37 | | | | | | | | | | | | (all_4_16 = e0) & ~ (all_4_22 = e0)) | ( ~ % 11.75/2.37 | | | | | | | | | | | | (all_4_14 = e1) & ~ (all_4_15 = e1) & ~ % 11.75/2.37 | | | | | | | | | | | | (all_4_16 = e1) & ~ (all_4_22 = e1)) % 11.75/2.37 | | | | | | | | | | | | % 11.75/2.37 | | | | | | | | | | | | BETA: splitting (251) gives: % 11.75/2.37 | | | | | | | | | | | | % 11.75/2.37 | | | | | | | | | | | | Case 1: % 11.75/2.37 | | | | | | | | | | | | | % 11.75/2.37 | | | | | | | | | | | | | (252) ( ~ (all_4_12 = e3) & ~ (all_4_12 = e2) & ~ % 11.75/2.37 | | | | | | | | | | | | | (all_4_12 = e0) & ~ (all_4_12 = e1)) | ( ~ % 11.75/2.37 | | | | | | | | | | | | | (all_4_13 = e3) & ~ (all_4_13 = e2) & ~ % 11.75/2.37 | | | | | | | | | | | | | (all_4_13 = e0) & ~ (all_4_13 = e1)) | ( ~ % 11.75/2.37 | | | | | | | | | | | | | (all_4_14 = e3) & ~ (all_4_14 = e2) & ~ % 11.75/2.37 | | | | | | | | | | | | | (all_4_14 = e0) & ~ (all_4_14 = e1)) % 11.75/2.37 | | | | | | | | | | | | | % 11.75/2.37 | | | | | | | | | | | | | BETA: splitting (252) gives: % 11.75/2.37 | | | | | | | | | | | | | % 11.75/2.37 | | | | | | | | | | | | | Case 1: % 11.75/2.37 | | | | | | | | | | | | | | % 11.75/2.37 | | | | | | | | | | | | | | (253) ~ (all_4_12 = e3) & ~ (all_4_12 = e2) & ~ % 11.75/2.37 | | | | | | | | | | | | | | (all_4_12 = e0) & ~ (all_4_12 = e1) % 11.75/2.37 | | | | | | | | | | | | | | % 11.75/2.37 | | | | | | | | | | | | | | ALPHA: (253) implies: % 11.75/2.37 | | | | | | | | | | | | | | (254) ~ (all_4_12 = e0) % 11.75/2.37 | | | | | | | | | | | | | | % 11.75/2.37 | | | | | | | | | | | | | | REDUCE: (70), (254) imply: % 11.75/2.37 | | | | | | | | | | | | | | (255) $false % 11.75/2.37 | | | | | | | | | | | | | | % 11.75/2.37 | | | | | | | | | | | | | | CLOSE: (255) is inconsistent. % 11.75/2.37 | | | | | | | | | | | | | | % 11.75/2.37 | | | | | | | | | | | | | Case 2: % 11.75/2.37 | | | | | | | | | | | | | | % 11.75/2.37 | | | | | | | | | | | | | | (256) ( ~ (all_4_13 = e3) & ~ (all_4_13 = e2) & ~ % 11.75/2.37 | | | | | | | | | | | | | | (all_4_13 = e0) & ~ (all_4_13 = e1)) | ( ~ % 11.75/2.37 | | | | | | | | | | | | | | (all_4_14 = e3) & ~ (all_4_14 = e2) & ~ % 11.75/2.37 | | | | | | | | | | | | | | (all_4_14 = e0) & ~ (all_4_14 = e1)) % 11.75/2.37 | | | | | | | | | | | | | | % 11.75/2.37 | | | | | | | | | | | | | | BETA: splitting (256) gives: % 11.75/2.37 | | | | | | | | | | | | | | % 11.75/2.37 | | | | | | | | | | | | | | Case 1: % 11.75/2.37 | | | | | | | | | | | | | | | % 11.75/2.37 | | | | | | | | | | | | | | | (257) ~ (all_4_13 = e3) & ~ (all_4_13 = e2) & ~ % 11.75/2.37 | | | | | | | | | | | | | | | (all_4_13 = e0) & ~ (all_4_13 = e1) % 11.75/2.37 | | | | | | | | | | | | | | | % 11.75/2.37 | | | | | | | | | | | | | | | ALPHA: (257) implies: % 11.75/2.37 | | | | | | | | | | | | | | | (258) ~ (all_4_13 = e2) % 11.75/2.37 | | | | | | | | | | | | | | | % 11.75/2.37 | | | | | | | | | | | | | | | REDUCE: (84), (258) imply: % 11.75/2.37 | | | | | | | | | | | | | | | (259) $false % 11.75/2.37 | | | | | | | | | | | | | | | % 11.75/2.37 | | | | | | | | | | | | | | | CLOSE: (259) is inconsistent. % 11.75/2.37 | | | | | | | | | | | | | | | % 11.75/2.37 | | | | | | | | | | | | | | Case 2: % 11.75/2.37 | | | | | | | | | | | | | | | % 11.75/2.37 | | | | | | | | | | | | | | | (260) ~ (all_4_14 = e3) & ~ (all_4_14 = e2) & ~ % 11.75/2.37 | | | | | | | | | | | | | | | (all_4_14 = e0) & ~ (all_4_14 = e1) % 11.75/2.37 | | | | | | | | | | | | | | | % 11.75/2.37 | | | | | | | | | | | | | | | ALPHA: (260) implies: % 11.75/2.37 | | | | | | | | | | | | | | | (261) ~ (all_4_14 = e2) % 11.75/2.37 | | | | | | | | | | | | | | | % 11.75/2.37 | | | | | | | | | | | | | | | REDUCE: (60), (261) imply: % 11.75/2.37 | | | | | | | | | | | | | | | (262) $false % 11.75/2.37 | | | | | | | | | | | | | | | % 11.75/2.37 | | | | | | | | | | | | | | | CLOSE: (262) is inconsistent. % 11.75/2.37 | | | | | | | | | | | | | | | % 11.75/2.37 | | | | | | | | | | | | | | End of split % 11.75/2.37 | | | | | | | | | | | | | | % 11.75/2.37 | | | | | | | | | | | | | End of split % 11.75/2.37 | | | | | | | | | | | | | % 11.75/2.37 | | | | | | | | | | | | Case 2: % 11.75/2.37 | | | | | | | | | | | | | % 11.75/2.38 | | | | | | | | | | | | | (263) ( ~ (all_4_14 = e3) & ~ (all_4_15 = e3) & ~ % 11.75/2.38 | | | | | | | | | | | | | (all_4_16 = e3) & ~ (all_4_22 = e3)) | ( ~ % 11.75/2.38 | | | | | | | | | | | | | (all_4_14 = e2) & ~ (all_4_15 = e2) & ~ % 11.75/2.38 | | | | | | | | | | | | | (all_4_16 = e2) & ~ (all_4_22 = e2)) | ( ~ % 11.75/2.38 | | | | | | | | | | | | | (all_4_14 = e0) & ~ (all_4_15 = e0) & ~ % 11.75/2.38 | | | | | | | | | | | | | (all_4_16 = e0) & ~ (all_4_22 = e0)) | ( ~ % 11.75/2.38 | | | | | | | | | | | | | (all_4_14 = e1) & ~ (all_4_15 = e1) & ~ % 11.75/2.38 | | | | | | | | | | | | | (all_4_16 = e1) & ~ (all_4_22 = e1)) % 11.75/2.38 | | | | | | | | | | | | | % 11.75/2.38 | | | | | | | | | | | | | BETA: splitting (263) gives: % 11.75/2.38 | | | | | | | | | | | | | % 11.75/2.38 | | | | | | | | | | | | | Case 1: % 11.75/2.38 | | | | | | | | | | | | | | % 11.75/2.38 | | | | | | | | | | | | | | (264) ( ~ (all_4_14 = e3) & ~ (all_4_15 = e3) & ~ % 11.75/2.38 | | | | | | | | | | | | | | (all_4_16 = e3) & ~ (all_4_22 = e3)) | ( ~ % 11.75/2.38 | | | | | | | | | | | | | | (all_4_14 = e2) & ~ (all_4_15 = e2) & ~ % 11.75/2.38 | | | | | | | | | | | | | | (all_4_16 = e2) & ~ (all_4_22 = e2)) % 11.75/2.38 | | | | | | | | | | | | | | % 11.75/2.38 | | | | | | | | | | | | | | BETA: splitting (264) gives: % 11.75/2.38 | | | | | | | | | | | | | | % 11.75/2.38 | | | | | | | | | | | | | | Case 1: % 11.75/2.38 | | | | | | | | | | | | | | | % 11.75/2.38 | | | | | | | | | | | | | | | (265) ~ (all_4_14 = e3) & ~ (all_4_15 = e3) & ~ % 11.75/2.38 | | | | | | | | | | | | | | | (all_4_16 = e3) & ~ (all_4_22 = e3) % 11.75/2.38 | | | | | | | | | | | | | | | % 11.75/2.38 | | | | | | | | | | | | | | | ALPHA: (265) implies: % 11.75/2.38 | | | | | | | | | | | | | | | (266) ~ (all_4_22 = e3) % 11.75/2.38 | | | | | | | | | | | | | | | % 11.75/2.38 | | | | | | | | | | | | | | | REDUCE: (56), (266) imply: % 11.75/2.38 | | | | | | | | | | | | | | | (267) $false % 11.75/2.38 | | | | | | | | | | | | | | | % 11.75/2.38 | | | | | | | | | | | | | | | CLOSE: (267) is inconsistent. % 11.75/2.38 | | | | | | | | | | | | | | | % 11.75/2.38 | | | | | | | | | | | | | | Case 2: % 11.75/2.38 | | | | | | | | | | | | | | | % 11.75/2.38 | | | | | | | | | | | | | | | (268) ~ (all_4_14 = e2) & ~ (all_4_15 = e2) & ~ % 11.75/2.38 | | | | | | | | | | | | | | | (all_4_16 = e2) & ~ (all_4_22 = e2) % 11.75/2.38 | | | | | | | | | | | | | | | % 11.75/2.38 | | | | | | | | | | | | | | | ALPHA: (268) implies: % 11.75/2.38 | | | | | | | | | | | | | | | (269) ~ (all_4_14 = e2) % 11.75/2.38 | | | | | | | | | | | | | | | % 11.75/2.38 | | | | | | | | | | | | | | | REDUCE: (60), (269) imply: % 11.75/2.38 | | | | | | | | | | | | | | | (270) $false % 11.75/2.38 | | | | | | | | | | | | | | | % 11.75/2.38 | | | | | | | | | | | | | | | CLOSE: (270) is inconsistent. % 11.75/2.38 | | | | | | | | | | | | | | | % 11.75/2.38 | | | | | | | | | | | | | | End of split % 11.75/2.38 | | | | | | | | | | | | | | % 11.75/2.38 | | | | | | | | | | | | | Case 2: % 11.75/2.38 | | | | | | | | | | | | | | % 11.75/2.38 | | | | | | | | | | | | | | (271) ( ~ (all_4_14 = e0) & ~ (all_4_15 = e0) & ~ % 11.75/2.38 | | | | | | | | | | | | | | (all_4_16 = e0) & ~ (all_4_22 = e0)) | ( ~ % 11.75/2.38 | | | | | | | | | | | | | | (all_4_14 = e1) & ~ (all_4_15 = e1) & ~ % 11.75/2.38 | | | | | | | | | | | | | | (all_4_16 = e1) & ~ (all_4_22 = e1)) % 11.75/2.38 | | | | | | | | | | | | | | % 11.75/2.38 | | | | | | | | | | | | | | BETA: splitting (271) gives: % 11.75/2.38 | | | | | | | | | | | | | | % 11.75/2.38 | | | | | | | | | | | | | | Case 1: % 11.75/2.38 | | | | | | | | | | | | | | | % 11.75/2.38 | | | | | | | | | | | | | | | (272) ~ (all_4_14 = e0) & ~ (all_4_15 = e0) & ~ % 11.75/2.38 | | | | | | | | | | | | | | | (all_4_16 = e0) & ~ (all_4_22 = e0) % 11.75/2.38 | | | | | | | | | | | | | | | % 11.75/2.38 | | | | | | | | | | | | | | | ALPHA: (272) implies: % 11.75/2.38 | | | | | | | | | | | | | | | (273) ~ (all_4_15 = e0) % 11.75/2.38 | | | | | | | | | | | | | | | % 11.75/2.38 | | | | | | | | | | | | | | | REDUCE: (59), (273) imply: % 11.75/2.38 | | | | | | | | | | | | | | | (274) $false % 11.75/2.38 | | | | | | | | | | | | | | | % 11.75/2.38 | | | | | | | | | | | | | | | CLOSE: (274) is inconsistent. % 11.75/2.38 | | | | | | | | | | | | | | | % 11.75/2.38 | | | | | | | | | | | | | | Case 2: % 11.75/2.38 | | | | | | | | | | | | | | | % 11.75/2.38 | | | | | | | | | | | | | | | (275) ~ (all_4_14 = e1) & ~ (all_4_15 = e1) & ~ % 11.75/2.38 | | | | | | | | | | | | | | | (all_4_16 = e1) & ~ (all_4_22 = e1) % 11.75/2.38 | | | | | | | | | | | | | | | % 11.75/2.38 | | | | | | | | | | | | | | | ALPHA: (275) implies: % 11.75/2.38 | | | | | | | | | | | | | | | (276) ~ (all_4_16 = e1) % 11.75/2.38 | | | | | | | | | | | | | | | % 11.75/2.38 | | | | | | | | | | | | | | | REDUCE: (88), (276) imply: % 11.75/2.38 | | | | | | | | | | | | | | | (277) $false % 11.75/2.38 | | | | | | | | | | | | | | | % 11.75/2.38 | | | | | | | | | | | | | | | CLOSE: (277) is inconsistent. % 11.75/2.38 | | | | | | | | | | | | | | | % 11.75/2.38 | | | | | | | | | | | | | | End of split % 11.75/2.38 | | | | | | | | | | | | | | % 11.75/2.38 | | | | | | | | | | | | | End of split % 11.75/2.38 | | | | | | | | | | | | | % 11.75/2.38 | | | | | | | | | | | | End of split % 11.75/2.38 | | | | | | | | | | | | % 11.75/2.38 | | | | | | | | | | | End of split % 11.75/2.38 | | | | | | | | | | | % 11.75/2.38 | | | | | | | | | | Case 2: % 11.75/2.38 | | | | | | | | | | | % 11.75/2.38 | | | | | | | | | | | (278) ( ~ (all_4_15 = e3) & ~ (all_4_15 = e2) & ~ % 11.75/2.38 | | | | | | | | | | | (all_4_15 = e0) & ~ (all_4_15 = e1)) | ( ~ % 11.75/2.38 | | | | | | | | | | | (all_4_16 = e3) & ~ (all_4_16 = e2) & ~ % 11.75/2.38 | | | | | | | | | | | (all_4_16 = e0) & ~ (all_4_16 = e1)) | ( ~ % 11.75/2.38 | | | | | | | | | | | (all_4_17 = e3) & ~ (all_4_17 = e2) & ~ % 11.75/2.38 | | | | | | | | | | | (all_4_17 = e0) & ~ (all_4_17 = e1)) | ( ~ % 11.75/2.38 | | | | | | | | | | | (all_4_17 = e3) & ~ (all_4_18 = e3) & ~ % 11.75/2.38 | | | | | | | | | | | (all_4_19 = e3) & ~ (all_4_23 = e3)) | ( ~ % 11.75/2.38 | | | | | | | | | | | (all_4_17 = e2) & ~ (all_4_18 = e2) & ~ % 11.75/2.38 | | | | | | | | | | | (all_4_19 = e2) & ~ (all_4_23 = e2)) | ( ~ % 11.75/2.38 | | | | | | | | | | | (all_4_17 = e0) & ~ (all_4_18 = e0) & ~ % 11.75/2.38 | | | | | | | | | | | (all_4_19 = e0) & ~ (all_4_23 = e0)) | ( ~ % 11.75/2.38 | | | | | | | | | | | (all_4_17 = e1) & ~ (all_4_18 = e1) & ~ % 11.75/2.38 | | | | | | | | | | | (all_4_19 = e1) & ~ (all_4_23 = e1)) | ( ~ % 11.75/2.38 | | | | | | | | | | | (all_4_18 = e3) & ~ (all_4_18 = e2) & ~ % 11.75/2.38 | | | | | | | | | | | (all_4_18 = e0) & ~ (all_4_18 = e1)) | ( ~ % 11.75/2.38 | | | | | | | | | | | (all_4_19 = e3) & ~ (all_4_19 = e2) & ~ % 11.75/2.38 | | | | | | | | | | | (all_4_19 = e0) & ~ (all_4_19 = e1)) | ( ~ % 11.75/2.38 | | | | | | | | | | | (all_4_20 = e3) & ~ (all_4_20 = e2) & ~ % 11.75/2.38 | | | | | | | | | | | (all_4_20 = e0) & ~ (all_4_20 = e1)) | ( ~ % 11.75/2.38 | | | | | | | | | | | (all_4_21 = e3) & ~ (all_4_21 = e2) & ~ % 11.75/2.38 | | | | | | | | | | | (all_4_21 = e0) & ~ (all_4_21 = e1)) | ( ~ % 11.75/2.38 | | | | | | | | | | | (all_4_22 = e3) & ~ (all_4_22 = e2) & ~ % 11.75/2.38 | | | | | | | | | | | (all_4_22 = e0) & ~ (all_4_22 = e1)) | ( ~ % 11.75/2.38 | | | | | | | | | | | (all_4_23 = e3) & ~ (all_4_23 = e2) & ~ % 11.75/2.38 | | | | | | | | | | | (all_4_23 = e0) & ~ (all_4_23 = e1)) | ( ~ % 11.75/2.38 | | | | | | | | | | | (unit = e3) & ~ (unit = e2) & ~ (unit = e0) & % 11.75/2.38 | | | | | | | | | | | ~ (unit = e1)) % 11.75/2.38 | | | | | | | | | | | % 11.75/2.38 | | | | | | | | | | | BETA: splitting (278) gives: % 11.75/2.38 | | | | | | | | | | | % 11.75/2.38 | | | | | | | | | | | Case 1: % 11.75/2.38 | | | | | | | | | | | | % 11.75/2.38 | | | | | | | | | | | | (279) ( ~ (all_4_15 = e3) & ~ (all_4_15 = e2) & ~ % 11.75/2.38 | | | | | | | | | | | | (all_4_15 = e0) & ~ (all_4_15 = e1)) | ( ~ % 11.75/2.38 | | | | | | | | | | | | (all_4_16 = e3) & ~ (all_4_16 = e2) & ~ % 11.75/2.38 | | | | | | | | | | | | (all_4_16 = e0) & ~ (all_4_16 = e1)) | ( ~ % 11.75/2.38 | | | | | | | | | | | | (all_4_17 = e3) & ~ (all_4_17 = e2) & ~ % 11.75/2.38 | | | | | | | | | | | | (all_4_17 = e0) & ~ (all_4_17 = e1)) | ( ~ % 11.75/2.38 | | | | | | | | | | | | (all_4_17 = e3) & ~ (all_4_18 = e3) & ~ % 11.75/2.38 | | | | | | | | | | | | (all_4_19 = e3) & ~ (all_4_23 = e3)) | ( ~ % 11.75/2.38 | | | | | | | | | | | | (all_4_17 = e2) & ~ (all_4_18 = e2) & ~ % 11.75/2.38 | | | | | | | | | | | | (all_4_19 = e2) & ~ (all_4_23 = e2)) | ( ~ % 11.75/2.38 | | | | | | | | | | | | (all_4_17 = e0) & ~ (all_4_18 = e0) & ~ % 11.75/2.38 | | | | | | | | | | | | (all_4_19 = e0) & ~ (all_4_23 = e0)) | ( ~ % 11.75/2.38 | | | | | | | | | | | | (all_4_17 = e1) & ~ (all_4_18 = e1) & ~ % 11.75/2.38 | | | | | | | | | | | | (all_4_19 = e1) & ~ (all_4_23 = e1)) % 11.75/2.38 | | | | | | | | | | | | % 11.75/2.38 | | | | | | | | | | | | BETA: splitting (279) gives: % 11.75/2.38 | | | | | | | | | | | | % 11.75/2.38 | | | | | | | | | | | | Case 1: % 11.75/2.38 | | | | | | | | | | | | | % 11.75/2.38 | | | | | | | | | | | | | (280) ( ~ (all_4_15 = e3) & ~ (all_4_15 = e2) & ~ % 11.75/2.38 | | | | | | | | | | | | | (all_4_15 = e0) & ~ (all_4_15 = e1)) | ( ~ % 11.75/2.38 | | | | | | | | | | | | | (all_4_16 = e3) & ~ (all_4_16 = e2) & ~ % 11.75/2.38 | | | | | | | | | | | | | (all_4_16 = e0) & ~ (all_4_16 = e1)) | ( ~ % 11.75/2.38 | | | | | | | | | | | | | (all_4_17 = e3) & ~ (all_4_17 = e2) & ~ % 11.75/2.38 | | | | | | | | | | | | | (all_4_17 = e0) & ~ (all_4_17 = e1)) % 11.75/2.38 | | | | | | | | | | | | | % 11.75/2.38 | | | | | | | | | | | | | BETA: splitting (280) gives: % 11.75/2.38 | | | | | | | | | | | | | % 11.75/2.38 | | | | | | | | | | | | | Case 1: % 11.75/2.38 | | | | | | | | | | | | | | % 11.75/2.38 | | | | | | | | | | | | | | (281) ~ (all_4_15 = e3) & ~ (all_4_15 = e2) & ~ % 11.75/2.38 | | | | | | | | | | | | | | (all_4_15 = e0) & ~ (all_4_15 = e1) % 11.75/2.38 | | | | | | | | | | | | | | % 11.75/2.38 | | | | | | | | | | | | | | ALPHA: (281) implies: % 11.75/2.38 | | | | | | | | | | | | | | (282) ~ (all_4_15 = e0) % 11.75/2.38 | | | | | | | | | | | | | | % 11.75/2.38 | | | | | | | | | | | | | | REDUCE: (59), (282) imply: % 11.75/2.38 | | | | | | | | | | | | | | (283) $false % 11.75/2.38 | | | | | | | | | | | | | | % 11.75/2.38 | | | | | | | | | | | | | | CLOSE: (283) is inconsistent. % 11.75/2.38 | | | | | | | | | | | | | | % 11.75/2.38 | | | | | | | | | | | | | Case 2: % 11.75/2.38 | | | | | | | | | | | | | | % 11.75/2.38 | | | | | | | | | | | | | | (284) ( ~ (all_4_16 = e3) & ~ (all_4_16 = e2) & ~ % 11.75/2.38 | | | | | | | | | | | | | | (all_4_16 = e0) & ~ (all_4_16 = e1)) | ( ~ % 11.75/2.38 | | | | | | | | | | | | | | (all_4_17 = e3) & ~ (all_4_17 = e2) & ~ % 11.75/2.38 | | | | | | | | | | | | | | (all_4_17 = e0) & ~ (all_4_17 = e1)) % 11.75/2.38 | | | | | | | | | | | | | | % 11.75/2.38 | | | | | | | | | | | | | | BETA: splitting (284) gives: % 11.75/2.38 | | | | | | | | | | | | | | % 11.75/2.38 | | | | | | | | | | | | | | Case 1: % 11.75/2.38 | | | | | | | | | | | | | | | % 11.75/2.38 | | | | | | | | | | | | | | | (285) ~ (all_4_16 = e3) & ~ (all_4_16 = e2) & ~ % 11.75/2.38 | | | | | | | | | | | | | | | (all_4_16 = e0) & ~ (all_4_16 = e1) % 11.75/2.38 | | | | | | | | | | | | | | | % 11.75/2.38 | | | | | | | | | | | | | | | ALPHA: (285) implies: % 11.75/2.38 | | | | | | | | | | | | | | | (286) ~ (all_4_16 = e1) % 11.75/2.38 | | | | | | | | | | | | | | | % 11.75/2.38 | | | | | | | | | | | | | | | REDUCE: (88), (286) imply: % 11.75/2.38 | | | | | | | | | | | | | | | (287) $false % 11.75/2.38 | | | | | | | | | | | | | | | % 11.75/2.38 | | | | | | | | | | | | | | | CLOSE: (287) is inconsistent. % 11.75/2.38 | | | | | | | | | | | | | | | % 11.75/2.38 | | | | | | | | | | | | | | Case 2: % 11.75/2.38 | | | | | | | | | | | | | | | % 11.75/2.38 | | | | | | | | | | | | | | | (288) ~ (all_4_17 = e3) & ~ (all_4_17 = e2) & ~ % 11.75/2.38 | | | | | | | | | | | | | | | (all_4_17 = e0) & ~ (all_4_17 = e1) % 11.75/2.38 | | | | | | | | | | | | | | | % 11.75/2.38 | | | | | | | | | | | | | | | ALPHA: (288) implies: % 11.75/2.38 | | | | | | | | | | | | | | | (289) ~ (all_4_17 = e3) % 11.75/2.38 | | | | | | | | | | | | | | | % 11.75/2.38 | | | | | | | | | | | | | | | REDUCE: (82), (289) imply: % 11.75/2.38 | | | | | | | | | | | | | | | (290) $false % 11.75/2.38 | | | | | | | | | | | | | | | % 11.75/2.38 | | | | | | | | | | | | | | | CLOSE: (290) is inconsistent. % 11.75/2.38 | | | | | | | | | | | | | | | % 11.75/2.38 | | | | | | | | | | | | | | End of split % 11.75/2.38 | | | | | | | | | | | | | | % 11.75/2.38 | | | | | | | | | | | | | End of split % 11.75/2.38 | | | | | | | | | | | | | % 11.75/2.38 | | | | | | | | | | | | Case 2: % 11.75/2.38 | | | | | | | | | | | | | % 11.75/2.38 | | | | | | | | | | | | | (291) ( ~ (all_4_17 = e3) & ~ (all_4_18 = e3) & ~ % 11.75/2.38 | | | | | | | | | | | | | (all_4_19 = e3) & ~ (all_4_23 = e3)) | ( ~ % 11.75/2.38 | | | | | | | | | | | | | (all_4_17 = e2) & ~ (all_4_18 = e2) & ~ % 11.75/2.38 | | | | | | | | | | | | | (all_4_19 = e2) & ~ (all_4_23 = e2)) | ( ~ % 11.75/2.38 | | | | | | | | | | | | | (all_4_17 = e0) & ~ (all_4_18 = e0) & ~ % 11.75/2.38 | | | | | | | | | | | | | (all_4_19 = e0) & ~ (all_4_23 = e0)) | ( ~ % 11.75/2.38 | | | | | | | | | | | | | (all_4_17 = e1) & ~ (all_4_18 = e1) & ~ % 11.75/2.38 | | | | | | | | | | | | | (all_4_19 = e1) & ~ (all_4_23 = e1)) % 11.75/2.38 | | | | | | | | | | | | | % 11.75/2.38 | | | | | | | | | | | | | BETA: splitting (291) gives: % 11.75/2.38 | | | | | | | | | | | | | % 11.75/2.38 | | | | | | | | | | | | | Case 1: % 11.75/2.38 | | | | | | | | | | | | | | % 11.75/2.38 | | | | | | | | | | | | | | (292) ( ~ (all_4_17 = e3) & ~ (all_4_18 = e3) & ~ % 11.75/2.38 | | | | | | | | | | | | | | (all_4_19 = e3) & ~ (all_4_23 = e3)) | ( ~ % 11.75/2.38 | | | | | | | | | | | | | | (all_4_17 = e2) & ~ (all_4_18 = e2) & ~ % 11.75/2.38 | | | | | | | | | | | | | | (all_4_19 = e2) & ~ (all_4_23 = e2)) % 11.75/2.38 | | | | | | | | | | | | | | % 11.75/2.38 | | | | | | | | | | | | | | BETA: splitting (292) gives: % 11.75/2.38 | | | | | | | | | | | | | | % 11.75/2.38 | | | | | | | | | | | | | | Case 1: % 11.75/2.38 | | | | | | | | | | | | | | | % 11.75/2.38 | | | | | | | | | | | | | | | (293) ~ (all_4_17 = e3) & ~ (all_4_18 = e3) & ~ % 11.75/2.38 | | | | | | | | | | | | | | | (all_4_19 = e3) & ~ (all_4_23 = e3) % 11.75/2.38 | | | | | | | | | | | | | | | % 11.75/2.38 | | | | | | | | | | | | | | | ALPHA: (293) implies: % 11.75/2.38 | | | | | | | | | | | | | | | (294) ~ (all_4_17 = e3) % 11.75/2.38 | | | | | | | | | | | | | | | % 11.75/2.38 | | | | | | | | | | | | | | | REDUCE: (82), (294) imply: % 11.75/2.38 | | | | | | | | | | | | | | | (295) $false % 11.75/2.38 | | | | | | | | | | | | | | | % 11.75/2.38 | | | | | | | | | | | | | | | CLOSE: (295) is inconsistent. % 11.75/2.38 | | | | | | | | | | | | | | | % 11.75/2.38 | | | | | | | | | | | | | | Case 2: % 11.75/2.38 | | | | | | | | | | | | | | | % 11.75/2.38 | | | | | | | | | | | | | | | (296) ~ (all_4_17 = e2) & ~ (all_4_18 = e2) & ~ % 11.75/2.38 | | | | | | | | | | | | | | | (all_4_19 = e2) & ~ (all_4_23 = e2) % 11.75/2.38 | | | | | | | | | | | | | | | % 11.75/2.38 | | | | | | | | | | | | | | | ALPHA: (296) implies: % 11.75/2.38 | | | | | | | | | | | | | | | (297) ~ (all_4_18 = e2) % 11.75/2.38 | | | | | | | | | | | | | | | % 11.75/2.38 | | | | | | | | | | | | | | | REDUCE: (86), (297) imply: % 11.75/2.38 | | | | | | | | | | | | | | | (298) $false % 11.75/2.38 | | | | | | | | | | | | | | | % 11.75/2.38 | | | | | | | | | | | | | | | CLOSE: (298) is inconsistent. % 11.75/2.38 | | | | | | | | | | | | | | | % 11.75/2.38 | | | | | | | | | | | | | | End of split % 11.75/2.38 | | | | | | | | | | | | | | % 11.75/2.38 | | | | | | | | | | | | | Case 2: % 11.75/2.38 | | | | | | | | | | | | | | % 11.75/2.38 | | | | | | | | | | | | | | (299) ( ~ (all_4_17 = e0) & ~ (all_4_18 = e0) & ~ % 11.75/2.38 | | | | | | | | | | | | | | (all_4_19 = e0) & ~ (all_4_23 = e0)) | ( ~ % 11.75/2.38 | | | | | | | | | | | | | | (all_4_17 = e1) & ~ (all_4_18 = e1) & ~ % 11.75/2.38 | | | | | | | | | | | | | | (all_4_19 = e1) & ~ (all_4_23 = e1)) % 11.75/2.38 | | | | | | | | | | | | | | % 11.75/2.38 | | | | | | | | | | | | | | BETA: splitting (299) gives: % 11.75/2.38 | | | | | | | | | | | | | | % 11.75/2.38 | | | | | | | | | | | | | | Case 1: % 11.75/2.38 | | | | | | | | | | | | | | | % 11.75/2.38 | | | | | | | | | | | | | | | (300) ~ (all_4_17 = e0) & ~ (all_4_18 = e0) & ~ % 11.75/2.38 | | | | | | | | | | | | | | | (all_4_19 = e0) & ~ (all_4_23 = e0) % 11.75/2.38 | | | | | | | | | | | | | | | % 11.75/2.38 | | | | | | | | | | | | | | | ALPHA: (300) implies: % 11.75/2.38 | | | | | | | | | | | | | | | (301) ~ (all_4_23 = e0) % 11.75/2.38 | | | | | | | | | | | | | | | % 11.75/2.38 | | | | | | | | | | | | | | | REDUCE: (93), (301) imply: % 11.75/2.38 | | | | | | | | | | | | | | | (302) $false % 11.75/2.38 | | | | | | | | | | | | | | | % 11.75/2.38 | | | | | | | | | | | | | | | CLOSE: (302) is inconsistent. % 11.75/2.38 | | | | | | | | | | | | | | | % 11.75/2.38 | | | | | | | | | | | | | | Case 2: % 11.75/2.38 | | | | | | | | | | | | | | | % 11.75/2.38 | | | | | | | | | | | | | | | (303) ~ (all_4_17 = e1) & ~ (all_4_18 = e1) & ~ % 11.75/2.38 | | | | | | | | | | | | | | | (all_4_19 = e1) & ~ (all_4_23 = e1) % 11.75/2.38 | | | | | | | | | | | | | | | % 11.75/2.38 | | | | | | | | | | | | | | | ALPHA: (303) implies: % 11.75/2.38 | | | | | | | | | | | | | | | (304) ~ (all_4_19 = e1) % 11.75/2.38 | | | | | | | | | | | | | | | % 11.75/2.38 | | | | | | | | | | | | | | | REDUCE: (89), (304) imply: % 11.75/2.39 | | | | | | | | | | | | | | | (305) $false % 11.75/2.39 | | | | | | | | | | | | | | | % 11.75/2.39 | | | | | | | | | | | | | | | CLOSE: (305) is inconsistent. % 11.75/2.39 | | | | | | | | | | | | | | | % 11.75/2.39 | | | | | | | | | | | | | | End of split % 11.75/2.39 | | | | | | | | | | | | | | % 11.75/2.39 | | | | | | | | | | | | | End of split % 11.75/2.39 | | | | | | | | | | | | | % 11.75/2.39 | | | | | | | | | | | | End of split % 11.75/2.39 | | | | | | | | | | | | % 11.75/2.39 | | | | | | | | | | | Case 2: % 11.75/2.39 | | | | | | | | | | | | % 11.75/2.39 | | | | | | | | | | | | (306) ( ~ (all_4_18 = e3) & ~ (all_4_18 = e2) & ~ % 11.75/2.39 | | | | | | | | | | | | (all_4_18 = e0) & ~ (all_4_18 = e1)) | ( ~ % 11.75/2.39 | | | | | | | | | | | | (all_4_19 = e3) & ~ (all_4_19 = e2) & ~ % 11.75/2.39 | | | | | | | | | | | | (all_4_19 = e0) & ~ (all_4_19 = e1)) | ( ~ % 11.75/2.39 | | | | | | | | | | | | (all_4_20 = e3) & ~ (all_4_20 = e2) & ~ % 11.75/2.39 | | | | | | | | | | | | (all_4_20 = e0) & ~ (all_4_20 = e1)) | ( ~ % 11.75/2.39 | | | | | | | | | | | | (all_4_21 = e3) & ~ (all_4_21 = e2) & ~ % 11.75/2.39 | | | | | | | | | | | | (all_4_21 = e0) & ~ (all_4_21 = e1)) | ( ~ % 11.75/2.39 | | | | | | | | | | | | (all_4_22 = e3) & ~ (all_4_22 = e2) & ~ % 11.75/2.39 | | | | | | | | | | | | (all_4_22 = e0) & ~ (all_4_22 = e1)) | ( ~ % 11.75/2.39 | | | | | | | | | | | | (all_4_23 = e3) & ~ (all_4_23 = e2) & ~ % 11.75/2.39 | | | | | | | | | | | | (all_4_23 = e0) & ~ (all_4_23 = e1)) | ( ~ % 11.75/2.39 | | | | | | | | | | | | (unit = e3) & ~ (unit = e2) & ~ (unit = e0) & % 11.75/2.39 | | | | | | | | | | | | ~ (unit = e1)) % 11.75/2.39 | | | | | | | | | | | | % 11.75/2.39 | | | | | | | | | | | | BETA: splitting (306) gives: % 11.75/2.39 | | | | | | | | | | | | % 11.75/2.39 | | | | | | | | | | | | Case 1: % 11.75/2.39 | | | | | | | | | | | | | % 11.75/2.39 | | | | | | | | | | | | | (307) ( ~ (all_4_18 = e3) & ~ (all_4_18 = e2) & ~ % 11.75/2.39 | | | | | | | | | | | | | (all_4_18 = e0) & ~ (all_4_18 = e1)) | ( ~ % 11.75/2.39 | | | | | | | | | | | | | (all_4_19 = e3) & ~ (all_4_19 = e2) & ~ % 11.75/2.39 | | | | | | | | | | | | | (all_4_19 = e0) & ~ (all_4_19 = e1)) | ( ~ % 11.75/2.39 | | | | | | | | | | | | | (all_4_20 = e3) & ~ (all_4_20 = e2) & ~ % 11.75/2.39 | | | | | | | | | | | | | (all_4_20 = e0) & ~ (all_4_20 = e1)) % 11.75/2.39 | | | | | | | | | | | | | % 11.75/2.39 | | | | | | | | | | | | | BETA: splitting (307) gives: % 11.75/2.39 | | | | | | | | | | | | | % 11.75/2.39 | | | | | | | | | | | | | Case 1: % 11.75/2.39 | | | | | | | | | | | | | | % 11.75/2.39 | | | | | | | | | | | | | | (308) ~ (all_4_18 = e3) & ~ (all_4_18 = e2) & ~ % 11.75/2.39 | | | | | | | | | | | | | | (all_4_18 = e0) & ~ (all_4_18 = e1) % 11.75/2.39 | | | | | | | | | | | | | | % 11.75/2.39 | | | | | | | | | | | | | | ALPHA: (308) implies: % 11.75/2.39 | | | | | | | | | | | | | | (309) ~ (all_4_18 = e2) % 11.75/2.39 | | | | | | | | | | | | | | % 11.75/2.39 | | | | | | | | | | | | | | REDUCE: (86), (309) imply: % 11.75/2.39 | | | | | | | | | | | | | | (310) $false % 11.75/2.39 | | | | | | | | | | | | | | % 11.75/2.39 | | | | | | | | | | | | | | CLOSE: (310) is inconsistent. % 11.75/2.39 | | | | | | | | | | | | | | % 11.75/2.39 | | | | | | | | | | | | | Case 2: % 11.75/2.39 | | | | | | | | | | | | | | % 11.75/2.39 | | | | | | | | | | | | | | (311) ( ~ (all_4_19 = e3) & ~ (all_4_19 = e2) & ~ % 11.75/2.39 | | | | | | | | | | | | | | (all_4_19 = e0) & ~ (all_4_19 = e1)) | ( ~ % 11.75/2.39 | | | | | | | | | | | | | | (all_4_20 = e3) & ~ (all_4_20 = e2) & ~ % 11.75/2.39 | | | | | | | | | | | | | | (all_4_20 = e0) & ~ (all_4_20 = e1)) % 11.75/2.39 | | | | | | | | | | | | | | % 11.75/2.39 | | | | | | | | | | | | | | BETA: splitting (311) gives: % 11.75/2.39 | | | | | | | | | | | | | | % 11.75/2.39 | | | | | | | | | | | | | | Case 1: % 11.75/2.39 | | | | | | | | | | | | | | | % 11.75/2.39 | | | | | | | | | | | | | | | (312) ~ (all_4_19 = e3) & ~ (all_4_19 = e2) & ~ % 11.75/2.39 | | | | | | | | | | | | | | | (all_4_19 = e0) & ~ (all_4_19 = e1) % 11.75/2.39 | | | | | | | | | | | | | | | % 11.75/2.39 | | | | | | | | | | | | | | | ALPHA: (312) implies: % 11.75/2.39 | | | | | | | | | | | | | | | (313) ~ (all_4_19 = e1) % 11.75/2.39 | | | | | | | | | | | | | | | % 11.75/2.39 | | | | | | | | | | | | | | | REDUCE: (89), (313) imply: % 11.75/2.39 | | | | | | | | | | | | | | | (314) $false % 11.75/2.39 | | | | | | | | | | | | | | | % 11.75/2.39 | | | | | | | | | | | | | | | CLOSE: (314) is inconsistent. % 11.75/2.39 | | | | | | | | | | | | | | | % 11.75/2.39 | | | | | | | | | | | | | | Case 2: % 11.75/2.39 | | | | | | | | | | | | | | | % 11.75/2.39 | | | | | | | | | | | | | | | (315) ~ (all_4_20 = e3) & ~ (all_4_20 = e2) & ~ % 11.75/2.39 | | | | | | | | | | | | | | | (all_4_20 = e0) & ~ (all_4_20 = e1) % 11.75/2.39 | | | | | | | | | | | | | | | % 11.75/2.39 | | | | | | | | | | | | | | | ALPHA: (315) implies: % 11.75/2.39 | | | | | | | | | | | | | | | (316) ~ (all_4_20 = e0) % 11.75/2.39 | | | | | | | | | | | | | | | % 11.75/2.39 | | | | | | | | | | | | | | | REDUCE: (79), (316) imply: % 11.75/2.39 | | | | | | | | | | | | | | | (317) $false % 11.75/2.39 | | | | | | | | | | | | | | | % 11.75/2.39 | | | | | | | | | | | | | | | CLOSE: (317) is inconsistent. % 11.75/2.39 | | | | | | | | | | | | | | | % 11.75/2.39 | | | | | | | | | | | | | | End of split % 11.75/2.39 | | | | | | | | | | | | | | % 11.75/2.39 | | | | | | | | | | | | | End of split % 11.75/2.39 | | | | | | | | | | | | | % 11.75/2.39 | | | | | | | | | | | | Case 2: % 11.75/2.39 | | | | | | | | | | | | | % 11.75/2.39 | | | | | | | | | | | | | (318) ( ~ (all_4_21 = e3) & ~ (all_4_21 = e2) & ~ % 11.75/2.39 | | | | | | | | | | | | | (all_4_21 = e0) & ~ (all_4_21 = e1)) | ( ~ % 11.75/2.39 | | | | | | | | | | | | | (all_4_22 = e3) & ~ (all_4_22 = e2) & ~ % 11.75/2.39 | | | | | | | | | | | | | (all_4_22 = e0) & ~ (all_4_22 = e1)) | ( ~ % 11.75/2.39 | | | | | | | | | | | | | (all_4_23 = e3) & ~ (all_4_23 = e2) & ~ % 11.75/2.39 | | | | | | | | | | | | | (all_4_23 = e0) & ~ (all_4_23 = e1)) | ( ~ % 11.75/2.39 | | | | | | | | | | | | | (unit = e3) & ~ (unit = e2) & ~ (unit = e0) & % 11.75/2.39 | | | | | | | | | | | | | ~ (unit = e1)) % 11.75/2.39 | | | | | | | | | | | | | % 11.75/2.39 | | | | | | | | | | | | | BETA: splitting (318) gives: % 11.75/2.39 | | | | | | | | | | | | | % 11.75/2.39 | | | | | | | | | | | | | Case 1: % 11.75/2.39 | | | | | | | | | | | | | | % 11.75/2.39 | | | | | | | | | | | | | | (319) ( ~ (all_4_21 = e3) & ~ (all_4_21 = e2) & ~ % 11.75/2.39 | | | | | | | | | | | | | | (all_4_21 = e0) & ~ (all_4_21 = e1)) | ( ~ % 11.75/2.39 | | | | | | | | | | | | | | (all_4_22 = e3) & ~ (all_4_22 = e2) & ~ % 11.75/2.39 | | | | | | | | | | | | | | (all_4_22 = e0) & ~ (all_4_22 = e1)) % 11.75/2.39 | | | | | | | | | | | | | | % 11.75/2.39 | | | | | | | | | | | | | | BETA: splitting (319) gives: % 11.75/2.39 | | | | | | | | | | | | | | % 11.75/2.39 | | | | | | | | | | | | | | Case 1: % 11.75/2.39 | | | | | | | | | | | | | | | % 11.75/2.39 | | | | | | | | | | | | | | | (320) ~ (all_4_21 = e3) & ~ (all_4_21 = e2) & ~ % 11.75/2.39 | | | | | | | | | | | | | | | (all_4_21 = e0) & ~ (all_4_21 = e1) % 11.75/2.39 | | | | | | | | | | | | | | | % 11.75/2.39 | | | | | | | | | | | | | | | ALPHA: (320) implies: % 11.75/2.39 | | | | | | | | | | | | | | | (321) ~ (all_4_21 = e3) % 11.75/2.39 | | | | | | | | | | | | | | | % 11.75/2.39 | | | | | | | | | | | | | | | REDUCE: (73), (321) imply: % 11.75/2.39 | | | | | | | | | | | | | | | (322) $false % 11.75/2.39 | | | | | | | | | | | | | | | % 11.75/2.39 | | | | | | | | | | | | | | | CLOSE: (322) is inconsistent. % 11.75/2.39 | | | | | | | | | | | | | | | % 11.75/2.39 | | | | | | | | | | | | | | Case 2: % 11.75/2.39 | | | | | | | | | | | | | | | % 11.75/2.39 | | | | | | | | | | | | | | | (323) ~ (all_4_22 = e3) & ~ (all_4_22 = e2) & ~ % 11.75/2.39 | | | | | | | | | | | | | | | (all_4_22 = e0) & ~ (all_4_22 = e1) % 11.75/2.39 | | | | | | | | | | | | | | | % 11.75/2.39 | | | | | | | | | | | | | | | ALPHA: (323) implies: % 11.75/2.39 | | | | | | | | | | | | | | | (324) ~ (all_4_22 = e3) % 11.75/2.39 | | | | | | | | | | | | | | | % 11.75/2.39 | | | | | | | | | | | | | | | REDUCE: (56), (324) imply: % 11.75/2.39 | | | | | | | | | | | | | | | (325) $false % 11.75/2.39 | | | | | | | | | | | | | | | % 11.75/2.39 | | | | | | | | | | | | | | | CLOSE: (325) is inconsistent. % 11.75/2.39 | | | | | | | | | | | | | | | % 11.75/2.39 | | | | | | | | | | | | | | End of split % 11.75/2.39 | | | | | | | | | | | | | | % 11.75/2.39 | | | | | | | | | | | | | Case 2: % 11.75/2.39 | | | | | | | | | | | | | | % 11.75/2.39 | | | | | | | | | | | | | | (326) ( ~ (all_4_23 = e3) & ~ (all_4_23 = e2) & ~ % 11.75/2.39 | | | | | | | | | | | | | | (all_4_23 = e0) & ~ (all_4_23 = e1)) | ( ~ % 11.75/2.39 | | | | | | | | | | | | | | (unit = e3) & ~ (unit = e2) & ~ (unit = e0) & % 11.75/2.39 | | | | | | | | | | | | | | ~ (unit = e1)) % 11.75/2.39 | | | | | | | | | | | | | | % 11.75/2.39 | | | | | | | | | | | | | | BETA: splitting (326) gives: % 11.75/2.39 | | | | | | | | | | | | | | % 11.75/2.39 | | | | | | | | | | | | | | Case 1: % 11.75/2.39 | | | | | | | | | | | | | | | % 11.75/2.39 | | | | | | | | | | | | | | | (327) ~ (all_4_23 = e3) & ~ (all_4_23 = e2) & ~ % 11.75/2.39 | | | | | | | | | | | | | | | (all_4_23 = e0) & ~ (all_4_23 = e1) % 11.75/2.39 | | | | | | | | | | | | | | | % 11.75/2.39 | | | | | | | | | | | | | | | ALPHA: (327) implies: % 11.75/2.39 | | | | | | | | | | | | | | | (328) ~ (all_4_23 = e0) % 11.75/2.39 | | | | | | | | | | | | | | | % 11.75/2.39 | | | | | | | | | | | | | | | REDUCE: (93), (328) imply: % 11.75/2.39 | | | | | | | | | | | | | | | (329) $false % 11.75/2.39 | | | | | | | | | | | | | | | % 11.75/2.39 | | | | | | | | | | | | | | | CLOSE: (329) is inconsistent. % 11.75/2.39 | | | | | | | | | | | | | | | % 11.75/2.39 | | | | | | | | | | | | | | Case 2: % 11.75/2.39 | | | | | | | | | | | | | | | % 11.75/2.39 | | | | | | | | | | | | | | | (330) ~ (unit = e3) & ~ (unit = e2) & ~ (unit = e0) & % 11.75/2.39 | | | | | | | | | | | | | | | ~ (unit = e1) % 11.75/2.39 | | | | | | | | | | | | | | | % 11.75/2.39 | | | | | | | | | | | | | | | ALPHA: (330) implies: % 11.75/2.39 | | | | | | | | | | | | | | | (331) ~ (unit = e0) % 11.75/2.39 | | | | | | | | | | | | | | | % 11.75/2.39 | | | | | | | | | | | | | | | REDUCE: (20), (331) imply: % 11.75/2.39 | | | | | | | | | | | | | | | (332) $false % 11.75/2.39 | | | | | | | | | | | | | | | % 11.75/2.39 | | | | | | | | | | | | | | | CLOSE: (332) is inconsistent. % 11.75/2.39 | | | | | | | | | | | | | | | % 11.75/2.39 | | | | | | | | | | | | | | End of split % 11.75/2.39 | | | | | | | | | | | | | | % 11.75/2.39 | | | | | | | | | | | | | End of split % 11.75/2.39 | | | | | | | | | | | | | % 11.75/2.39 | | | | | | | | | | | | End of split % 11.75/2.39 | | | | | | | | | | | | % 11.75/2.39 | | | | | | | | | | | End of split % 11.75/2.39 | | | | | | | | | | | % 11.75/2.39 | | | | | | | | | | End of split % 11.75/2.39 | | | | | | | | | | % 11.75/2.39 | | | | | | | | | End of split % 11.75/2.39 | | | | | | | | | % 11.75/2.39 | | | | | | | | End of split % 11.75/2.39 | | | | | | | | % 11.75/2.39 | | | | | | | End of split % 11.75/2.39 | | | | | | | % 11.75/2.39 | | | | | | End of split % 11.75/2.39 | | | | | | % 11.75/2.39 | | | | | End of split % 11.75/2.39 | | | | | % 11.75/2.39 | | | | End of split % 11.75/2.39 | | | | % 11.75/2.39 | | | End of split % 11.75/2.39 | | | % 11.75/2.39 | | End of split % 11.75/2.39 | | % 11.75/2.39 | End of split % 11.75/2.39 | % 11.75/2.39 End of proof % 11.75/2.39 % SZS output end Proof for theBenchmark % 11.75/2.39 % 11.75/2.39 1790ms %------------------------------------------------------------------------------