%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : ALG102+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 : n011.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Aug 30 16:36:19 EDT 2023 % Result : Theorem 20.46s 3.53s % Output : Proof 46.17s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : ALG102+1 : TPTP v8.1.2. Released v2.7.0. % 0.11/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.13/0.34 % Computer : n011.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 03:17:55 EDT 2023 % 0.13/0.34 % CPUTime : % 0.20/0.60 ________ _____ % 0.20/0.60 ___ __ \_________(_)________________________________ % 0.20/0.60 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.20/0.60 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.20/0.60 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.20/0.60 % 0.20/0.60 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.20/0.60 (2023-06-19) % 0.20/0.60 % 0.20/0.60 (c) Philipp Rümmer, 2009-2023 % 0.20/0.60 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.20/0.60 Amanda Stjerna. % 0.20/0.60 Free software under BSD-3-Clause. % 0.20/0.60 % 0.20/0.60 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.20/0.60 % 0.20/0.60 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.20/0.62 Running up to 7 provers in parallel. % 0.20/0.63 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.20/0.63 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.20/0.63 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.20/0.63 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.20/0.63 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.20/0.63 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.20/0.63 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 8.09/1.89 Prover 1: Preprocessing ... % 8.09/1.89 Prover 4: Preprocessing ... % 8.09/1.91 Prover 6: Preprocessing ... % 8.09/1.91 Prover 3: Preprocessing ... % 8.09/1.91 Prover 5: Preprocessing ... % 8.73/1.93 Prover 2: Preprocessing ... % 8.73/1.96 Prover 0: Preprocessing ... % 15.76/2.85 Prover 2: Constructing countermodel ... % 15.76/2.85 Prover 1: Constructing countermodel ... % 15.76/2.85 Prover 4: Constructing countermodel ... % 15.76/2.85 Prover 3: Constructing countermodel ... % 15.96/2.88 Prover 6: Constructing countermodel ... % 15.96/2.88 Prover 0: Constructing countermodel ... % 20.05/3.46 Prover 5: Constructing countermodel ... % 20.46/3.52 Prover 3: proved (2896ms) % 20.46/3.52 % 20.46/3.53 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 20.46/3.53 % 20.46/3.53 Prover 0: stopped % 20.46/3.53 Prover 6: stopped % 20.46/3.55 Prover 5: stopped % 21.00/3.56 Prover 2: stopped % 21.20/3.57 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 21.20/3.57 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 21.20/3.57 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 21.20/3.57 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 21.20/3.57 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 25.20/4.12 Prover 11: Preprocessing ... % 25.20/4.13 Prover 10: Preprocessing ... % 25.20/4.15 Prover 13: Preprocessing ... % 25.20/4.16 Prover 7: Preprocessing ... % 25.70/4.24 Prover 8: Preprocessing ... % 27.48/4.45 Prover 13: Constructing countermodel ... % 27.48/4.47 Prover 8: Constructing countermodel ... % 27.96/4.49 Prover 11: Constructing countermodel ... % 28.66/4.65 Prover 10: Constructing countermodel ... % 28.66/4.66 Prover 7: Constructing countermodel ... % 40.51/6.19 Prover 4: Found proof (size 2649) % 40.51/6.19 Prover 4: proved (5559ms) % 40.51/6.19 Prover 10: stopped % 40.51/6.19 Prover 7: stopped % 40.51/6.19 Prover 1: stopped % 40.51/6.19 Prover 13: stopped % 40.51/6.19 Prover 11: stopped % 40.51/6.19 Prover 8: stopped % 40.51/6.19 % 40.51/6.19 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 40.51/6.19 % 42.69/6.72 % SZS output start Proof for theBenchmark % 42.69/6.74 Assumptions after simplification: % 42.69/6.74 --------------------------------- % 42.69/6.74 % 42.69/6.74 (ax1) % 43.02/6.78 $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] : ? [v2: % 43.02/6.78 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : % 43.02/6.78 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? % 43.02/6.78 [v13: $i] : ? [v14: $i] : ? [v15: $i] : (op1(e13, e13) = v15 & op1(e13, e12) % 43.02/6.78 = v14 & op1(e13, e11) = v13 & op1(e13, e10) = v12 & op1(e12, e13) = v11 & % 43.02/6.78 op1(e12, e12) = v10 & op1(e12, e11) = v9 & op1(e12, e10) = v8 & op1(e11, % 43.02/6.78 e13) = v7 & op1(e11, e12) = v6 & op1(e11, e11) = v5 & op1(e11, e10) = v4 & % 43.02/6.78 op1(e10, e13) = v3 & op1(e10, e12) = v2 & op1(e10, e11) = v1 & op1(e10, e10) % 43.02/6.78 = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & % 43.02/6.78 $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & % 43.02/6.78 $i(v0) & (v15 = e13 | v15 = e12 | v15 = e11 | v15 = e10) & (v14 = e13 | v14 % 43.02/6.78 = e12 | v14 = e11 | v14 = e10) & (v13 = e13 | v13 = e12 | v13 = e11 | v13 % 43.02/6.78 = e10) & (v12 = e13 | v12 = e12 | v12 = e11 | v12 = e10) & (v11 = e13 | % 43.02/6.78 v11 = e12 | v11 = e11 | v11 = e10) & (v10 = e13 | v10 = e12 | v10 = e11 | % 43.02/6.78 v10 = e10) & (v9 = e13 | v9 = e12 | v9 = e11 | v9 = e10) & (v8 = e13 | v8 % 43.02/6.78 = e12 | v8 = e11 | v8 = e10) & (v7 = e13 | v7 = e12 | v7 = e11 | v7 = e10) % 43.02/6.78 & (v6 = e13 | v6 = e12 | v6 = e11 | v6 = e10) & (v5 = e13 | v5 = e12 | v5 = % 43.02/6.78 e11 | v5 = e10) & (v4 = e13 | v4 = e12 | v4 = e11 | v4 = e10) & (v3 = e13 % 43.02/6.78 | v3 = e12 | v3 = e11 | v3 = e10) & (v2 = e13 | v2 = e12 | v2 = e11 | v2 = % 43.02/6.78 e10) & (v1 = e13 | v1 = e12 | v1 = e11 | v1 = e10) & (v0 = e13 | v0 = e12 % 43.02/6.78 | v0 = e11 | v0 = e10)) % 43.02/6.78 % 43.02/6.78 (ax10) % 43.26/6.80 $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] : ? [v2: % 43.26/6.80 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : % 43.26/6.80 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? % 43.26/6.80 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? % 43.26/6.80 [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? % 43.26/6.80 [v23: $i] : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ? % 43.26/6.80 [v28: $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : (op1(e13, v12) = v30 % 43.26/6.80 & op1(e13, v9) = v29 & op1(e13, v6) = v28 & op1(e13, v5) = v31 & op1(e13, % 43.26/6.80 e13) = v5 & op1(e13, e12) = v12 & op1(e13, e11) = v9 & op1(e13, e10) = v6 % 43.26/6.80 & op1(e12, v15) = v27 & op1(e12, v8) = v25 & op1(e12, v4) = v24 & op1(e12, % 43.26/6.80 v3) = v26 & op1(e12, e13) = v15 & op1(e12, e12) = v3 & op1(e12, e11) = v8 % 43.26/6.80 & op1(e12, e10) = v4 & op1(e11, v14) = v23 & op1(e11, v11) = v22 & op1(e11, % 43.26/6.80 v2) = v20 & op1(e11, v1) = v21 & op1(e11, e13) = v14 & op1(e11, e12) = v11 % 43.26/6.80 & op1(e11, e11) = v1 & op1(e11, e10) = v2 & op1(e10, v13) = v19 & op1(e10, % 43.26/6.80 v10) = v18 & op1(e10, v7) = v17 & op1(e10, v0) = v16 & op1(e10, e13) = v13 % 43.26/6.80 & op1(e10, e12) = v10 & op1(e10, e11) = v7 & op1(e10, e10) = v0 & $i(v31) & % 43.26/6.80 $i(v30) & $i(v29) & $i(v28) & $i(v27) & $i(v26) & $i(v25) & $i(v24) & % 43.26/6.80 $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19) & $i(v18) & $i(v17) & % 43.26/6.80 $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) % 43.26/6.80 & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & % 43.26/6.80 $i(v0) & ((v31 = e13 & v30 = e12 & v29 = e11 & v28 = e10 & ( ~ (v15 = e12) | % 43.26/6.80 v3 = e13) & ( ~ (v14 = e11) | v1 = e13) & ( ~ (v13 = e10) | v0 = e13)) % 43.26/6.80 | (v27 = e13 & v26 = e12 & v25 = e11 & v24 = e10 & ( ~ (v12 = e13) | v5 = % 43.26/6.80 e12) & ( ~ (v11 = e11) | v1 = e12) & ( ~ (v10 = e10) | v0 = e12)) | % 43.26/6.80 (v23 = e13 & v22 = e12 & v21 = e11 & v20 = e10 & ( ~ (v9 = e13) | v5 = % 43.26/6.80 e11) & ( ~ (v8 = e12) | v3 = e11) & ( ~ (v7 = e10) | v0 = e11)) | (v19 % 43.26/6.80 = e13 & v18 = e12 & v17 = e11 & v16 = e10 & ( ~ (v6 = e13) | v5 = e10) & % 43.26/6.80 ( ~ (v4 = e12) | v3 = e10) & ( ~ (v2 = e11) | v1 = e10))) & ((v15 = e12 % 43.26/6.80 & v1 = e13 & ~ (v14 = e11) & ~ (v3 = e13)) | (v15 = e12 & v0 = e13 & % 43.26/6.80 ~ (v13 = e10) & ~ (v3 = e13)) | (v14 = e11 & v3 = e13 & ~ (v15 = e12) % 43.26/6.80 & ~ (v1 = e13)) | (v14 = e11 & v0 = e13 & ~ (v13 = e10) & ~ (v1 = % 43.26/6.80 e13)) | (v13 = e10 & v3 = e13 & ~ (v15 = e12) & ~ (v0 = e13)) | (v13 % 43.26/6.80 = e10 & v1 = e13 & ~ (v14 = e11) & ~ (v0 = e13)) | (v12 = e13 & v1 = % 43.26/6.80 e12 & ~ (v11 = e11) & ~ (v5 = e12)) | (v12 = e13 & v0 = e12 & ~ (v10 % 43.26/6.80 = e10) & ~ (v5 = e12)) | (v11 = e11 & v5 = e12 & ~ (v12 = e13) & ~ % 43.26/6.80 (v1 = e12)) | (v11 = e11 & v0 = e12 & ~ (v10 = e10) & ~ (v1 = e12)) | % 43.26/6.80 (v10 = e10 & v5 = e12 & ~ (v12 = e13) & ~ (v0 = e12)) | (v10 = e10 & v1 % 43.26/6.80 = e12 & ~ (v11 = e11) & ~ (v0 = e12)) | (v9 = e13 & v3 = e11 & ~ (v8 % 43.26/6.80 = e12) & ~ (v5 = e11)) | (v9 = e13 & v0 = e11 & ~ (v7 = e10) & ~ % 43.26/6.80 (v5 = e11)) | (v8 = e12 & v5 = e11 & ~ (v9 = e13) & ~ (v3 = e11)) | % 43.26/6.80 (v8 = e12 & v0 = e11 & ~ (v7 = e10) & ~ (v3 = e11)) | (v7 = e10 & v5 = % 43.26/6.80 e11 & ~ (v9 = e13) & ~ (v0 = e11)) | (v7 = e10 & v3 = e11 & ~ (v8 = % 43.26/6.80 e12) & ~ (v0 = e11)) | (v6 = e13 & v3 = e10 & ~ (v5 = e10) & ~ (v4 % 43.26/6.80 = e12)) | (v6 = e13 & v1 = e10 & ~ (v5 = e10) & ~ (v2 = e11)) | (v5 % 43.26/6.80 = e10 & v4 = e12 & ~ (v6 = e13) & ~ (v3 = e10)) | (v5 = e10 & v2 = e11 % 43.26/6.80 & ~ (v6 = e13) & ~ (v1 = e10)) | (v4 = e12 & v1 = e10 & ~ (v3 = e10) % 43.26/6.80 & ~ (v2 = e11)) | (v3 = e10 & v2 = e11 & ~ (v4 = e12) & ~ (v1 = % 43.26/6.80 e10)))) % 43.26/6.80 % 43.26/6.80 (ax11) % 43.26/6.81 $i(e23) & $i(e22) & $i(e21) & $i(e20) & ? [v0: $i] : ? [v1: $i] : ? [v2: % 43.26/6.81 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : % 43.26/6.81 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? % 43.26/6.81 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? % 43.26/6.81 [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? % 43.26/6.81 [v23: $i] : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ? % 43.26/6.81 [v28: $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : (op2(e23, v12) = v30 % 43.26/6.81 & op2(e23, v9) = v29 & op2(e23, v6) = v28 & op2(e23, v5) = v31 & op2(e23, % 43.26/6.81 e23) = v5 & op2(e23, e22) = v12 & op2(e23, e21) = v9 & op2(e23, e20) = v6 % 43.26/6.81 & op2(e22, v15) = v27 & op2(e22, v8) = v25 & op2(e22, v4) = v24 & op2(e22, % 43.26/6.81 v3) = v26 & op2(e22, e23) = v15 & op2(e22, e22) = v3 & op2(e22, e21) = v8 % 43.26/6.81 & op2(e22, e20) = v4 & op2(e21, v14) = v23 & op2(e21, v11) = v22 & op2(e21, % 43.26/6.81 v2) = v20 & op2(e21, v1) = v21 & op2(e21, e23) = v14 & op2(e21, e22) = v11 % 43.26/6.81 & op2(e21, e21) = v1 & op2(e21, e20) = v2 & op2(e20, v13) = v19 & op2(e20, % 43.26/6.81 v10) = v18 & op2(e20, v7) = v17 & op2(e20, v0) = v16 & op2(e20, e23) = v13 % 43.26/6.81 & op2(e20, e22) = v10 & op2(e20, e21) = v7 & op2(e20, e20) = v0 & $i(v31) & % 43.26/6.81 $i(v30) & $i(v29) & $i(v28) & $i(v27) & $i(v26) & $i(v25) & $i(v24) & % 43.26/6.81 $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19) & $i(v18) & $i(v17) & % 43.26/6.81 $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) % 43.26/6.81 & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & % 43.26/6.81 $i(v0) & ((v31 = e23 & v30 = e22 & v29 = e21 & v28 = e20 & ( ~ (v15 = e22) | % 43.26/6.81 v3 = e23) & ( ~ (v14 = e21) | v1 = e23) & ( ~ (v13 = e20) | v0 = e23)) % 43.26/6.81 | (v27 = e23 & v26 = e22 & v25 = e21 & v24 = e20 & ( ~ (v12 = e23) | v5 = % 43.26/6.81 e22) & ( ~ (v11 = e21) | v1 = e22) & ( ~ (v10 = e20) | v0 = e22)) | % 43.26/6.81 (v23 = e23 & v22 = e22 & v21 = e21 & v20 = e20 & ( ~ (v9 = e23) | v5 = % 43.26/6.81 e21) & ( ~ (v8 = e22) | v3 = e21) & ( ~ (v7 = e20) | v0 = e21)) | (v19 % 43.26/6.81 = e23 & v18 = e22 & v17 = e21 & v16 = e20 & ( ~ (v6 = e23) | v5 = e20) & % 43.26/6.81 ( ~ (v4 = e22) | v3 = e20) & ( ~ (v2 = e21) | v1 = e20))) & ((v15 = e22 % 43.26/6.81 & v1 = e23 & ~ (v14 = e21) & ~ (v3 = e23)) | (v15 = e22 & v0 = e23 & % 43.26/6.81 ~ (v13 = e20) & ~ (v3 = e23)) | (v14 = e21 & v3 = e23 & ~ (v15 = e22) % 43.26/6.81 & ~ (v1 = e23)) | (v14 = e21 & v0 = e23 & ~ (v13 = e20) & ~ (v1 = % 43.26/6.81 e23)) | (v13 = e20 & v3 = e23 & ~ (v15 = e22) & ~ (v0 = e23)) | (v13 % 43.26/6.81 = e20 & v1 = e23 & ~ (v14 = e21) & ~ (v0 = e23)) | (v12 = e23 & v1 = % 43.26/6.81 e22 & ~ (v11 = e21) & ~ (v5 = e22)) | (v12 = e23 & v0 = e22 & ~ (v10 % 43.26/6.81 = e20) & ~ (v5 = e22)) | (v11 = e21 & v5 = e22 & ~ (v12 = e23) & ~ % 43.26/6.81 (v1 = e22)) | (v11 = e21 & v0 = e22 & ~ (v10 = e20) & ~ (v1 = e22)) | % 43.26/6.81 (v10 = e20 & v5 = e22 & ~ (v12 = e23) & ~ (v0 = e22)) | (v10 = e20 & v1 % 43.26/6.81 = e22 & ~ (v11 = e21) & ~ (v0 = e22)) | (v9 = e23 & v3 = e21 & ~ (v8 % 43.26/6.81 = e22) & ~ (v5 = e21)) | (v9 = e23 & v0 = e21 & ~ (v7 = e20) & ~ % 43.26/6.81 (v5 = e21)) | (v8 = e22 & v5 = e21 & ~ (v9 = e23) & ~ (v3 = e21)) | % 43.26/6.81 (v8 = e22 & v0 = e21 & ~ (v7 = e20) & ~ (v3 = e21)) | (v7 = e20 & v5 = % 43.26/6.81 e21 & ~ (v9 = e23) & ~ (v0 = e21)) | (v7 = e20 & v3 = e21 & ~ (v8 = % 43.26/6.81 e22) & ~ (v0 = e21)) | (v6 = e23 & v3 = e20 & ~ (v5 = e20) & ~ (v4 % 43.26/6.81 = e22)) | (v6 = e23 & v1 = e20 & ~ (v5 = e20) & ~ (v2 = e21)) | (v5 % 43.26/6.81 = e20 & v4 = e22 & ~ (v6 = e23) & ~ (v3 = e20)) | (v5 = e20 & v2 = e21 % 43.26/6.81 & ~ (v6 = e23) & ~ (v1 = e20)) | (v4 = e22 & v1 = e20 & ~ (v3 = e20) % 43.26/6.81 & ~ (v2 = e21)) | (v3 = e20 & v2 = e21 & ~ (v4 = e22) & ~ (v1 = % 43.26/6.81 e20)))) % 43.26/6.81 % 43.26/6.81 (ax12) % 43.26/6.81 op1(e13, e13) = e10 & op1(e12, e11) = e13 & op1(e11, e11) = e12 & $i(e13) & % 43.26/6.81 $i(e12) & $i(e11) & $i(e10) % 43.26/6.81 % 43.26/6.81 (ax13) % 43.26/6.81 op2(e23, e23) = e20 & op2(e22, e21) = e23 & op2(e21, e21) = e22 & $i(e23) & % 43.26/6.81 $i(e22) & $i(e21) & $i(e20) % 43.26/6.81 % 43.26/6.81 (ax14) % 43.26/6.82 $i(e20) & $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] : % 43.26/6.82 ? [v2: $i] : (h1(e13) = v2 & h1(e12) = v1 & h1(e11) = e20 & h1(e10) = v0 & % 43.26/6.82 op2(v2, v2) = v0 & op2(v1, e20) = v2 & op2(e20, e20) = v1 & $i(v2) & $i(v1) % 43.26/6.82 & $i(v0)) % 43.26/6.82 % 43.26/6.82 (ax15) % 43.26/6.82 $i(e21) & $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] : % 43.26/6.82 ? [v2: $i] : (h2(e13) = v2 & h2(e12) = v1 & h2(e11) = e21 & h2(e10) = v0 & % 43.26/6.82 op2(v2, v2) = v0 & op2(v1, e21) = v2 & op2(e21, e21) = v1 & $i(v2) & $i(v1) % 43.26/6.82 & $i(v0)) % 43.26/6.82 % 43.26/6.82 (ax16) % 43.26/6.82 $i(e22) & $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] : % 43.26/6.82 ? [v2: $i] : (h3(e13) = v2 & h3(e12) = v1 & h3(e11) = e22 & h3(e10) = v0 & % 43.26/6.82 op2(v2, v2) = v0 & op2(v1, e22) = v2 & op2(e22, e22) = v1 & $i(v2) & $i(v1) % 43.26/6.82 & $i(v0)) % 43.26/6.82 % 43.26/6.82 (ax17) % 43.26/6.82 $i(e23) & $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] : % 43.26/6.82 ? [v2: $i] : (h4(e13) = v2 & h4(e12) = v1 & h4(e11) = e23 & h4(e10) = v0 & % 43.26/6.82 op2(v2, v2) = v0 & op2(v1, e23) = v2 & op2(e23, e23) = v1 & $i(v2) & $i(v1) % 43.26/6.82 & $i(v0)) % 43.26/6.82 % 43.26/6.82 (ax2) % 43.26/6.83 $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] : ? [v2: % 43.26/6.83 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : % 43.26/6.83 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? % 43.26/6.83 [v13: $i] : ? [v14: $i] : ? [v15: $i] : (op1(e13, e13) = v15 & op1(e13, e12) % 43.26/6.83 = v14 & op1(e13, e11) = v11 & op1(e13, e10) = v6 & op1(e12, e13) = v13 & % 43.26/6.83 op1(e12, e12) = v12 & op1(e12, e11) = v10 & op1(e12, e10) = v5 & op1(e11, % 43.26/6.83 e13) = v9 & op1(e11, e12) = v8 & op1(e11, e11) = v7 & op1(e11, e10) = v4 & % 43.26/6.83 op1(e10, e13) = v3 & op1(e10, e12) = v2 & op1(e10, e11) = v1 & op1(e10, e10) % 43.26/6.83 = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & % 43.26/6.83 $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & % 43.26/6.83 $i(v0) & (v15 = e13 | v14 = e13 | v11 = e13 | v6 = e13) & (v15 = e13 | v13 = % 43.26/6.83 e13 | v9 = e13 | v3 = e13) & (v15 = e12 | v14 = e12 | v11 = e12 | v6 = % 43.26/6.83 e12) & (v15 = e12 | v13 = e12 | v9 = e12 | v3 = e12) & (v15 = e11 | v14 = % 43.26/6.83 e11 | v11 = e11 | v6 = e11) & (v15 = e11 | v13 = e11 | v9 = e11 | v3 = % 43.26/6.83 e11) & (v15 = e10 | v14 = e10 | v11 = e10 | v6 = e10) & (v15 = e10 | v13 = % 43.26/6.83 e10 | v9 = e10 | v3 = e10) & (v14 = e13 | v12 = e13 | v8 = e13 | v2 = e13) % 43.26/6.83 & (v14 = e12 | v12 = e12 | v8 = e12 | v2 = e12) & (v14 = e11 | v12 = e11 | % 43.26/6.83 v8 = e11 | v2 = e11) & (v14 = e10 | v12 = e10 | v8 = e10 | v2 = e10) & % 43.26/6.83 (v13 = e13 | v12 = e13 | v10 = e13 | v5 = e13) & (v13 = e12 | v12 = e12 | % 43.26/6.83 v10 = e12 | v5 = e12) & (v13 = e11 | v12 = e11 | v10 = e11 | v5 = e11) & % 43.26/6.83 (v13 = e10 | v12 = e10 | v10 = e10 | v5 = e10) & (v11 = e13 | v10 = e13 | v7 % 43.26/6.83 = e13 | v1 = e13) & (v11 = e12 | v10 = e12 | v7 = e12 | v1 = e12) & (v11 = % 43.26/6.83 e11 | v10 = e11 | v7 = e11 | v1 = e11) & (v11 = e10 | v10 = e10 | v7 = e10 % 43.26/6.83 | v1 = e10) & (v9 = e13 | v8 = e13 | v7 = e13 | v4 = e13) & (v9 = e12 | v8 % 43.26/6.83 = e12 | v7 = e12 | v4 = e12) & (v9 = e11 | v8 = e11 | v7 = e11 | v4 = e11) % 43.26/6.83 & (v9 = e10 | v8 = e10 | v7 = e10 | v4 = e10) & (v6 = e13 | v5 = e13 | v4 = % 43.26/6.83 e13 | v0 = e13) & (v6 = e12 | v5 = e12 | v4 = e12 | v0 = e12) & (v6 = e11 % 43.26/6.83 | v5 = e11 | v4 = e11 | v0 = e11) & (v3 = e13 | v2 = e13 | v1 = e13 | v0 = % 43.26/6.83 e13) & (v3 = e12 | v2 = e12 | v1 = e12 | v0 = e12) & (v3 = e11 | v2 = e11 % 43.26/6.83 | v1 = e11 | v0 = e11) & (v0 = e10 | ((v6 = e10 | v5 = e10 | v4 = e10) & % 43.26/6.83 (v3 = e10 | v2 = e10 | v1 = e10)))) % 43.26/6.83 % 43.26/6.83 (ax3) % 43.26/6.84 $i(e23) & $i(e22) & $i(e21) & $i(e20) & ? [v0: $i] : ? [v1: $i] : ? [v2: % 43.26/6.84 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : % 43.26/6.84 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? % 43.26/6.84 [v13: $i] : ? [v14: $i] : ? [v15: $i] : (op2(e23, e23) = v15 & op2(e23, e22) % 43.26/6.84 = v14 & op2(e23, e21) = v13 & op2(e23, e20) = v12 & op2(e22, e23) = v11 & % 43.26/6.84 op2(e22, e22) = v10 & op2(e22, e21) = v9 & op2(e22, e20) = v8 & op2(e21, % 43.26/6.84 e23) = v7 & op2(e21, e22) = v6 & op2(e21, e21) = v5 & op2(e21, e20) = v4 & % 43.26/6.84 op2(e20, e23) = v3 & op2(e20, e22) = v2 & op2(e20, e21) = v1 & op2(e20, e20) % 43.26/6.84 = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & % 43.26/6.84 $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & % 43.26/6.84 $i(v0) & (v15 = e23 | v15 = e22 | v15 = e21 | v15 = e20) & (v14 = e23 | v14 % 43.26/6.84 = e22 | v14 = e21 | v14 = e20) & (v13 = e23 | v13 = e22 | v13 = e21 | v13 % 43.26/6.84 = e20) & (v12 = e23 | v12 = e22 | v12 = e21 | v12 = e20) & (v11 = e23 | % 43.26/6.84 v11 = e22 | v11 = e21 | v11 = e20) & (v10 = e23 | v10 = e22 | v10 = e21 | % 43.26/6.84 v10 = e20) & (v9 = e23 | v9 = e22 | v9 = e21 | v9 = e20) & (v8 = e23 | v8 % 43.26/6.84 = e22 | v8 = e21 | v8 = e20) & (v7 = e23 | v7 = e22 | v7 = e21 | v7 = e20) % 43.26/6.84 & (v6 = e23 | v6 = e22 | v6 = e21 | v6 = e20) & (v5 = e23 | v5 = e22 | v5 = % 43.26/6.84 e21 | v5 = e20) & (v4 = e23 | v4 = e22 | v4 = e21 | v4 = e20) & (v3 = e23 % 43.26/6.84 | v3 = e22 | v3 = e21 | v3 = e20) & (v2 = e23 | v2 = e22 | v2 = e21 | v2 = % 43.26/6.84 e20) & (v1 = e23 | v1 = e22 | v1 = e21 | v1 = e20) & (v0 = e23 | v0 = e22 % 43.26/6.84 | v0 = e21 | v0 = e20)) % 43.26/6.84 % 43.26/6.84 (ax4) % 43.26/6.85 $i(e23) & $i(e22) & $i(e21) & $i(e20) & ? [v0: $i] : ? [v1: $i] : ? [v2: % 43.26/6.85 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : % 43.26/6.85 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? % 43.26/6.85 [v13: $i] : ? [v14: $i] : ? [v15: $i] : (op2(e23, e23) = v15 & op2(e23, e22) % 43.26/6.85 = v14 & op2(e23, e21) = v11 & op2(e23, e20) = v6 & op2(e22, e23) = v13 & % 43.26/6.85 op2(e22, e22) = v12 & op2(e22, e21) = v10 & op2(e22, e20) = v5 & op2(e21, % 43.26/6.85 e23) = v9 & op2(e21, e22) = v8 & op2(e21, e21) = v7 & op2(e21, e20) = v4 & % 43.26/6.85 op2(e20, e23) = v3 & op2(e20, e22) = v2 & op2(e20, e21) = v1 & op2(e20, e20) % 43.26/6.85 = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & % 43.26/6.85 $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & % 43.26/6.85 $i(v0) & (v15 = e23 | v14 = e23 | v11 = e23 | v6 = e23) & (v15 = e23 | v13 = % 43.26/6.85 e23 | v9 = e23 | v3 = e23) & (v15 = e22 | v14 = e22 | v11 = e22 | v6 = % 43.51/6.85 e22) & (v15 = e22 | v13 = e22 | v9 = e22 | v3 = e22) & (v15 = e21 | v14 = % 43.51/6.85 e21 | v11 = e21 | v6 = e21) & (v15 = e21 | v13 = e21 | v9 = e21 | v3 = % 43.51/6.85 e21) & (v15 = e20 | v14 = e20 | v11 = e20 | v6 = e20) & (v15 = e20 | v13 = % 43.51/6.85 e20 | v9 = e20 | v3 = e20) & (v14 = e23 | v12 = e23 | v8 = e23 | v2 = e23) % 43.51/6.85 & (v14 = e22 | v12 = e22 | v8 = e22 | v2 = e22) & (v14 = e21 | v12 = e21 | % 43.51/6.85 v8 = e21 | v2 = e21) & (v14 = e20 | v12 = e20 | v8 = e20 | v2 = e20) & % 43.51/6.85 (v13 = e23 | v12 = e23 | v10 = e23 | v5 = e23) & (v13 = e22 | v12 = e22 | % 43.51/6.85 v10 = e22 | v5 = e22) & (v13 = e21 | v12 = e21 | v10 = e21 | v5 = e21) & % 43.51/6.85 (v13 = e20 | v12 = e20 | v10 = e20 | v5 = e20) & (v11 = e23 | v10 = e23 | v7 % 43.51/6.85 = e23 | v1 = e23) & (v11 = e22 | v10 = e22 | v7 = e22 | v1 = e22) & (v11 = % 43.51/6.85 e21 | v10 = e21 | v7 = e21 | v1 = e21) & (v11 = e20 | v10 = e20 | v7 = e20 % 43.51/6.85 | v1 = e20) & (v9 = e23 | v8 = e23 | v7 = e23 | v4 = e23) & (v9 = e22 | v8 % 43.51/6.85 = e22 | v7 = e22 | v4 = e22) & (v9 = e21 | v8 = e21 | v7 = e21 | v4 = e21) % 43.51/6.85 & (v9 = e20 | v8 = e20 | v7 = e20 | v4 = e20) & (v6 = e23 | v5 = e23 | v4 = % 43.51/6.85 e23 | v0 = e23) & (v6 = e22 | v5 = e22 | v4 = e22 | v0 = e22) & (v6 = e21 % 43.51/6.85 | v5 = e21 | v4 = e21 | v0 = e21) & (v3 = e23 | v2 = e23 | v1 = e23 | v0 = % 43.51/6.85 e23) & (v3 = e22 | v2 = e22 | v1 = e22 | v0 = e22) & (v3 = e21 | v2 = e21 % 43.51/6.85 | v1 = e21 | v0 = e21) & (v0 = e20 | ((v6 = e20 | v5 = e20 | v4 = e20) & % 43.51/6.85 (v3 = e20 | v2 = e20 | v1 = e20)))) % 43.51/6.85 % 43.51/6.85 (ax5) % 43.52/6.85 $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] : ? [v2: % 43.52/6.85 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : % 43.52/6.85 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? % 43.52/6.85 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ( ~ (v15 = v14) & ~ (v15 = v13) & % 43.52/6.85 ~ (v15 = v12) & ~ (v15 = v11) & ~ (v15 = v7) & ~ (v15 = v3) & ~ (v14 = % 43.52/6.85 v13) & ~ (v14 = v12) & ~ (v14 = v10) & ~ (v14 = v6) & ~ (v14 = v2) & % 43.52/6.85 ~ (v13 = v12) & ~ (v13 = v9) & ~ (v13 = v5) & ~ (v13 = v1) & ~ (v12 = % 43.52/6.85 v8) & ~ (v12 = v4) & ~ (v12 = v0) & ~ (v11 = v10) & ~ (v11 = v9) & ~ % 43.52/6.85 (v11 = v8) & ~ (v11 = v7) & ~ (v11 = v3) & ~ (v10 = v9) & ~ (v10 = v8) & % 43.52/6.85 ~ (v10 = v6) & ~ (v10 = v2) & ~ (v9 = v8) & ~ (v9 = v5) & ~ (v9 = v1) & % 43.52/6.85 ~ (v8 = v4) & ~ (v8 = v0) & ~ (v7 = v6) & ~ (v7 = v5) & ~ (v7 = v4) & % 43.52/6.85 ~ (v7 = v3) & ~ (v6 = v5) & ~ (v6 = v4) & ~ (v6 = v2) & ~ (v5 = v4) & ~ % 43.52/6.85 (v5 = v1) & ~ (v4 = v0) & ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~ % 43.52/6.85 (v2 = v1) & ~ (v2 = v0) & ~ (v1 = v0) & op1(e13, e13) = v15 & op1(e13, % 43.52/6.85 e12) = v11 & op1(e13, e11) = v7 & op1(e13, e10) = v3 & op1(e12, e13) = v14 % 43.52/6.85 & op1(e12, e12) = v10 & op1(e12, e11) = v6 & op1(e12, e10) = v2 & op1(e11, % 43.52/6.85 e13) = v13 & op1(e11, e12) = v9 & op1(e11, e11) = v5 & op1(e11, e10) = v1 % 43.52/6.85 & op1(e10, e13) = v12 & op1(e10, e12) = v8 & op1(e10, e11) = v4 & op1(e10, % 43.52/6.85 e10) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & % 43.52/6.85 $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & % 43.52/6.85 $i(v1) & $i(v0)) % 43.52/6.85 % 43.52/6.85 (ax6) % 43.52/6.86 $i(e23) & $i(e22) & $i(e21) & $i(e20) & ? [v0: $i] : ? [v1: $i] : ? [v2: % 43.52/6.86 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : % 43.52/6.86 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? % 43.52/6.86 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ( ~ (v15 = v14) & ~ (v15 = v13) & % 43.52/6.86 ~ (v15 = v12) & ~ (v15 = v11) & ~ (v15 = v7) & ~ (v15 = v3) & ~ (v14 = % 43.52/6.86 v13) & ~ (v14 = v12) & ~ (v14 = v10) & ~ (v14 = v6) & ~ (v14 = v2) & % 43.52/6.86 ~ (v13 = v12) & ~ (v13 = v9) & ~ (v13 = v5) & ~ (v13 = v1) & ~ (v12 = % 43.52/6.86 v8) & ~ (v12 = v4) & ~ (v12 = v0) & ~ (v11 = v10) & ~ (v11 = v9) & ~ % 43.52/6.86 (v11 = v8) & ~ (v11 = v7) & ~ (v11 = v3) & ~ (v10 = v9) & ~ (v10 = v8) & % 43.52/6.86 ~ (v10 = v6) & ~ (v10 = v2) & ~ (v9 = v8) & ~ (v9 = v5) & ~ (v9 = v1) & % 43.52/6.86 ~ (v8 = v4) & ~ (v8 = v0) & ~ (v7 = v6) & ~ (v7 = v5) & ~ (v7 = v4) & % 43.52/6.86 ~ (v7 = v3) & ~ (v6 = v5) & ~ (v6 = v4) & ~ (v6 = v2) & ~ (v5 = v4) & ~ % 43.52/6.86 (v5 = v1) & ~ (v4 = v0) & ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~ % 43.52/6.86 (v2 = v1) & ~ (v2 = v0) & ~ (v1 = v0) & op2(e23, e23) = v15 & op2(e23, % 43.52/6.86 e22) = v11 & op2(e23, e21) = v7 & op2(e23, e20) = v3 & op2(e22, e23) = v14 % 43.52/6.86 & op2(e22, e22) = v10 & op2(e22, e21) = v6 & op2(e22, e20) = v2 & op2(e21, % 43.52/6.86 e23) = v13 & op2(e21, e22) = v9 & op2(e21, e21) = v5 & op2(e21, e20) = v1 % 43.52/6.86 & op2(e20, e23) = v12 & op2(e20, e22) = v8 & op2(e20, e21) = v4 & op2(e20, % 43.52/6.86 e20) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & % 43.52/6.86 $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & % 43.52/6.86 $i(v1) & $i(v0)) % 43.52/6.86 % 43.52/6.86 (ax8) % 43.52/6.86 ~ (e23 = e22) & ~ (e23 = e21) & ~ (e23 = e20) & ~ (e22 = e21) & ~ (e22 = % 43.52/6.86 e20) & ~ (e21 = e20) & $i(e23) & $i(e22) & $i(e21) & $i(e20) % 43.52/6.86 % 43.52/6.86 (co1) % 43.52/6.88 $i(e23) & $i(e22) & $i(e21) & $i(e20) & $i(e13) & $i(e12) & $i(e11) & $i(e10) % 43.52/6.88 & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? % 43.52/6.88 [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: % 43.52/6.88 $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] : ? [v15: % 43.52/6.88 $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ? [v19: $i] : ? [v20: % 43.52/6.88 $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i] : ? [v24: $i] : ? [v25: % 43.52/6.88 $i] : ? [v26: $i] : ? [v27: $i] : ? [v28: $i] : ? [v29: $i] : ? [v30: % 43.52/6.88 $i] : ? [v31: $i] : ? [v32: $i] : ? [v33: $i] : ? [v34: $i] : ? [v35: % 43.52/6.88 $i] : ? [v36: $i] : ? [v37: $i] : ? [v38: $i] : ? [v39: $i] : ? [v40: % 43.52/6.88 $i] : ? [v41: $i] : ? [v42: $i] : ? [v43: $i] : ? [v44: $i] : ? [v45: % 43.52/6.88 $i] : ? [v46: $i] : ? [v47: $i] : ? [v48: $i] : ? [v49: $i] : ? [v50: % 43.52/6.88 $i] : ? [v51: $i] : ? [v52: $i] : ? [v53: $i] : ? [v54: $i] : ? [v55: % 43.52/6.88 $i] : ? [v56: $i] : ? [v57: $i] : ? [v58: $i] : ? [v59: $i] : ? [v60: % 43.52/6.88 $i] : ? [v61: $i] : ? [v62: $i] : ? [v63: $i] : ? [v64: $i] : ? [v65: % 43.52/6.88 $i] : ? [v66: $i] : ? [v67: $i] : ? [v68: $i] : ? [v69: $i] : ? [v70: % 43.52/6.88 $i] : ? [v71: $i] : ? [v72: $i] : ? [v73: $i] : ? [v74: $i] : ? [v75: % 43.52/6.88 $i] : ? [v76: $i] : ? [v77: $i] : ? [v78: $i] : ? [v79: $i] : ? [v80: % 43.52/6.88 $i] : ? [v81: $i] : ? [v82: $i] : ? [v83: $i] : ? [v84: $i] : ? [v85: % 43.52/6.88 $i] : ? [v86: $i] : ? [v87: $i] : ? [v88: $i] : ? [v89: $i] : ? [v90: % 43.52/6.88 $i] : ? [v91: $i] : ? [v92: $i] : ? [v93: $i] : ? [v94: $i] : ? [v95: % 43.52/6.88 $i] : ? [v96: $i] : ? [v97: $i] : ? [v98: $i] : ? [v99: $i] : ? [v100: % 43.52/6.88 $i] : ? [v101: $i] : ? [v102: $i] : ? [v103: $i] : ? [v104: $i] : ? % 43.52/6.88 [v105: $i] : ? [v106: $i] : ? [v107: $i] : ? [v108: $i] : ? [v109: $i] : % 43.52/6.88 ? [v110: $i] : ? [v111: $i] : ? [v112: $i] : ? [v113: $i] : ? [v114: $i] : % 43.52/6.88 ? [v115: $i] : ? [v116: $i] : ? [v117: $i] : ? [v118: $i] : ? [v119: $i] % 43.52/6.88 : ? [v120: $i] : ? [v121: $i] : ? [v122: $i] : ? [v123: $i] : ? [v124: % 43.52/6.88 $i] : ? [v125: $i] : ? [v126: $i] : ? [v127: $i] : ? [v128: $i] : ? % 43.52/6.88 [v129: $i] : ? [v130: $i] : ? [v131: $i] : ? [v132: $i] : ? [v133: $i] : % 43.52/6.88 ? [v134: $i] : ? [v135: $i] : ? [v136: $i] : ? [v137: $i] : ? [v138: $i] : % 43.52/6.88 ? [v139: $i] : ? [v140: $i] : ? [v141: $i] : ? [v142: $i] : ? [v143: $i] % 43.52/6.88 : ? [v144: $i] : ? [v145: $i] : ? [v146: $i] : ? [v147: $i] : ? [v148: % 43.52/6.88 $i] : ? [v149: $i] : ? [v150: $i] : ? [v151: $i] : ? [v152: $i] : ? % 43.52/6.88 [v153: $i] : ? [v154: $i] : ? [v155: $i] : ? [v156: $i] : ? [v157: $i] : % 43.52/6.88 ? [v158: $i] : ? [v159: $i] : (h4(v49) = v158 & h4(v46) = v156 & h4(v43) = % 43.52/6.88 v154 & h4(v40) = v152 & h4(v37) = v150 & h4(v34) = v148 & h4(v31) = v146 & % 43.52/6.88 h4(v28) = v144 & h4(v25) = v142 & h4(v22) = v140 & h4(v19) = v138 & h4(v16) % 43.52/6.88 = v136 & h4(v12) = v133 & h4(v8) = v130 & h4(v4) = v127 & h4(v0) = v124 & % 43.52/6.88 h4(e13) = v134 & h4(e12) = v131 & h4(e11) = v128 & h4(e10) = v125 & h3(v49) % 43.52/6.88 = v122 & h3(v46) = v120 & h3(v43) = v118 & h3(v40) = v116 & h3(v37) = v114 & % 43.52/6.88 h3(v34) = v112 & h3(v31) = v110 & h3(v28) = v108 & h3(v25) = v106 & h3(v22) % 43.52/6.88 = v104 & h3(v19) = v102 & h3(v16) = v100 & h3(v12) = v97 & h3(v8) = v94 & % 43.52/6.88 h3(v4) = v91 & h3(v0) = v88 & h3(e13) = v98 & h3(e12) = v95 & h3(e11) = v92 % 43.52/6.88 & h3(e10) = v89 & h2(v49) = v86 & h2(v46) = v84 & h2(v43) = v82 & h2(v40) = % 43.52/6.88 v80 & h2(v37) = v78 & h2(v34) = v76 & h2(v31) = v74 & h2(v28) = v72 & % 43.52/6.88 h2(v25) = v70 & h2(v22) = v68 & h2(v19) = v66 & h2(v16) = v64 & h2(v12) = % 43.52/6.88 v61 & h2(v8) = v58 & h2(v4) = v55 & h2(v0) = v52 & h2(e13) = v62 & h2(e12) = % 43.52/6.88 v59 & h2(e11) = v56 & h2(e10) = v53 & h1(v49) = v50 & h1(v46) = v47 & % 43.52/6.88 h1(v43) = v44 & h1(v40) = v41 & h1(v37) = v38 & h1(v34) = v35 & h1(v31) = % 43.52/6.88 v32 & h1(v28) = v29 & h1(v25) = v26 & h1(v22) = v23 & h1(v19) = v20 & % 43.52/6.88 h1(v16) = v17 & h1(v12) = v13 & h1(v8) = v9 & h1(v4) = v5 & h1(v0) = v1 & % 43.52/6.88 h1(e13) = v14 & h1(e12) = v10 & h1(e11) = v6 & h1(e10) = v2 & op2(v134, % 43.52/6.88 v134) = v159 & op2(v134, v131) = v157 & op2(v134, v128) = v155 & op2(v134, % 43.52/6.88 v125) = v153 & op2(v131, v134) = v151 & op2(v131, v131) = v149 & op2(v131, % 43.52/6.88 v128) = v147 & op2(v131, v125) = v145 & op2(v128, v134) = v143 & op2(v128, % 43.52/6.88 v131) = v141 & op2(v128, v128) = v139 & op2(v128, v125) = v137 & op2(v125, % 43.52/6.88 v134) = v135 & op2(v125, v131) = v132 & op2(v125, v128) = v129 & op2(v125, % 43.52/6.88 v125) = v126 & op2(v98, v98) = v123 & op2(v98, v95) = v121 & op2(v98, v92) % 43.52/6.88 = v119 & op2(v98, v89) = v117 & op2(v95, v98) = v115 & op2(v95, v95) = v113 % 43.52/6.88 & op2(v95, v92) = v111 & op2(v95, v89) = v109 & op2(v92, v98) = v107 & % 43.52/6.88 op2(v92, v95) = v105 & op2(v92, v92) = v103 & op2(v92, v89) = v101 & % 43.52/6.88 op2(v89, v98) = v99 & op2(v89, v95) = v96 & op2(v89, v92) = v93 & op2(v89, % 43.52/6.88 v89) = v90 & op2(v62, v62) = v87 & op2(v62, v59) = v85 & op2(v62, v56) = % 43.52/6.88 v83 & op2(v62, v53) = v81 & op2(v59, v62) = v79 & op2(v59, v59) = v77 & % 43.52/6.88 op2(v59, v56) = v75 & op2(v59, v53) = v73 & op2(v56, v62) = v71 & op2(v56, % 43.52/6.88 v59) = v69 & op2(v56, v56) = v67 & op2(v56, v53) = v65 & op2(v53, v62) = % 43.52/6.88 v63 & op2(v53, v59) = v60 & op2(v53, v56) = v57 & op2(v53, v53) = v54 & % 43.52/6.88 op2(v14, v14) = v51 & op2(v14, v10) = v48 & op2(v14, v6) = v45 & op2(v14, % 43.52/6.88 v2) = v42 & op2(v10, v14) = v39 & op2(v10, v10) = v36 & op2(v10, v6) = v33 % 43.52/6.88 & op2(v10, v2) = v30 & op2(v6, v14) = v27 & op2(v6, v10) = v24 & op2(v6, v6) % 43.52/6.88 = v21 & op2(v6, v2) = v18 & op2(v2, v14) = v15 & op2(v2, v10) = v11 & % 43.52/6.88 op2(v2, v6) = v7 & op2(v2, v2) = v3 & op1(e13, e13) = v49 & op1(e13, e12) = % 43.52/6.88 v46 & op1(e13, e11) = v43 & op1(e13, e10) = v40 & op1(e12, e13) = v37 & % 43.52/6.88 op1(e12, e12) = v34 & op1(e12, e11) = v31 & op1(e12, e10) = v28 & op1(e11, % 43.52/6.88 e13) = v25 & op1(e11, e12) = v22 & op1(e11, e11) = v19 & op1(e11, e10) = % 43.52/6.88 v16 & op1(e10, e13) = v12 & op1(e10, e12) = v8 & op1(e10, e11) = v4 & % 43.52/6.88 op1(e10, e10) = v0 & $i(v159) & $i(v158) & $i(v157) & $i(v156) & $i(v155) & % 43.52/6.88 $i(v154) & $i(v153) & $i(v152) & $i(v151) & $i(v150) & $i(v149) & $i(v148) & % 43.52/6.88 $i(v147) & $i(v146) & $i(v145) & $i(v144) & $i(v143) & $i(v142) & $i(v141) & % 43.52/6.88 $i(v140) & $i(v139) & $i(v138) & $i(v137) & $i(v136) & $i(v135) & $i(v134) & % 43.52/6.88 $i(v133) & $i(v132) & $i(v131) & $i(v130) & $i(v129) & $i(v128) & $i(v127) & % 43.52/6.88 $i(v126) & $i(v125) & $i(v124) & $i(v123) & $i(v122) & $i(v121) & $i(v120) & % 43.52/6.88 $i(v119) & $i(v118) & $i(v117) & $i(v116) & $i(v115) & $i(v114) & $i(v113) & % 43.52/6.88 $i(v112) & $i(v111) & $i(v110) & $i(v109) & $i(v108) & $i(v107) & $i(v106) & % 43.52/6.88 $i(v105) & $i(v104) & $i(v103) & $i(v102) & $i(v101) & $i(v100) & $i(v99) & % 43.52/6.88 $i(v98) & $i(v97) & $i(v96) & $i(v95) & $i(v94) & $i(v93) & $i(v92) & % 43.52/6.88 $i(v91) & $i(v90) & $i(v89) & $i(v88) & $i(v87) & $i(v86) & $i(v85) & % 43.52/6.88 $i(v84) & $i(v83) & $i(v82) & $i(v81) & $i(v80) & $i(v79) & $i(v78) & % 43.52/6.88 $i(v77) & $i(v76) & $i(v75) & $i(v74) & $i(v73) & $i(v72) & $i(v71) & % 43.52/6.88 $i(v70) & $i(v69) & $i(v68) & $i(v67) & $i(v66) & $i(v65) & $i(v64) & % 43.52/6.88 $i(v63) & $i(v62) & $i(v61) & $i(v60) & $i(v59) & $i(v58) & $i(v57) & % 43.52/6.88 $i(v56) & $i(v55) & $i(v54) & $i(v53) & $i(v52) & $i(v51) & $i(v50) & % 43.52/6.88 $i(v49) & $i(v48) & $i(v47) & $i(v46) & $i(v45) & $i(v44) & $i(v43) & % 43.52/6.88 $i(v42) & $i(v41) & $i(v40) & $i(v39) & $i(v38) & $i(v37) & $i(v36) & % 43.52/6.88 $i(v35) & $i(v34) & $i(v33) & $i(v32) & $i(v31) & $i(v30) & $i(v29) & % 43.52/6.88 $i(v28) & $i(v27) & $i(v26) & $i(v25) & $i(v24) & $i(v23) & $i(v22) & % 43.52/6.88 $i(v21) & $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & % 43.52/6.88 $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & % 43.52/6.88 $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ( ~ (v159 = % 43.52/6.88 v158) | ~ (v157 = v156) | ~ (v155 = v154) | ~ (v153 = v152) | ~ % 43.52/6.88 (v151 = v150) | ~ (v149 = v148) | ~ (v147 = v146) | ~ (v145 = v144) | % 43.52/6.88 ~ (v143 = v142) | ~ (v141 = v140) | ~ (v139 = v138) | ~ (v137 = v136) | % 43.52/6.88 ~ (v135 = v133) | ~ (v132 = v130) | ~ (v129 = v127) | ~ (v126 = v124) % 43.52/6.88 | ( ~ (v134 = e23) & ~ (v131 = e23) & ~ (v128 = e23) & ~ (v125 = e23)) % 43.52/6.88 | ( ~ (v134 = e22) & ~ (v131 = e22) & ~ (v128 = e22) & ~ (v125 = e22)) % 43.52/6.88 | ( ~ (v134 = e21) & ~ (v131 = e21) & ~ (v128 = e21) & ~ (v125 = e21)) % 43.52/6.88 | ( ~ (v134 = e20) & ~ (v131 = e20) & ~ (v128 = e20) & ~ (v125 = e20))) % 43.52/6.88 & ( ~ (v123 = v122) | ~ (v121 = v120) | ~ (v119 = v118) | ~ (v117 = v116) % 43.52/6.88 | ~ (v115 = v114) | ~ (v113 = v112) | ~ (v111 = v110) | ~ (v109 = % 43.52/6.88 v108) | ~ (v107 = v106) | ~ (v105 = v104) | ~ (v103 = v102) | ~ % 43.52/6.88 (v101 = v100) | ~ (v99 = v97) | ~ (v96 = v94) | ~ (v93 = v91) | ~ (v90 % 43.52/6.88 = v88) | ( ~ (v98 = e23) & ~ (v95 = e23) & ~ (v92 = e23) & ~ (v89 = % 43.52/6.88 e23)) | ( ~ (v98 = e22) & ~ (v95 = e22) & ~ (v92 = e22) & ~ (v89 = % 43.52/6.88 e22)) | ( ~ (v98 = e21) & ~ (v95 = e21) & ~ (v92 = e21) & ~ (v89 = % 43.52/6.88 e21)) | ( ~ (v98 = e20) & ~ (v95 = e20) & ~ (v92 = e20) & ~ (v89 = % 43.52/6.88 e20))) & ( ~ (v87 = v86) | ~ (v85 = v84) | ~ (v83 = v82) | ~ (v81 = % 43.52/6.88 v80) | ~ (v79 = v78) | ~ (v77 = v76) | ~ (v75 = v74) | ~ (v73 = v72) % 43.52/6.88 | ~ (v71 = v70) | ~ (v69 = v68) | ~ (v67 = v66) | ~ (v65 = v64) | ~ % 43.52/6.88 (v63 = v61) | ~ (v60 = v58) | ~ (v57 = v55) | ~ (v54 = v52) | ( ~ (v62 % 43.52/6.88 = e23) & ~ (v59 = e23) & ~ (v56 = e23) & ~ (v53 = e23)) | ( ~ (v62 % 43.52/6.88 = e22) & ~ (v59 = e22) & ~ (v56 = e22) & ~ (v53 = e22)) | ( ~ (v62 % 43.52/6.88 = e21) & ~ (v59 = e21) & ~ (v56 = e21) & ~ (v53 = e21)) | ( ~ (v62 % 43.52/6.88 = e20) & ~ (v59 = e20) & ~ (v56 = e20) & ~ (v53 = e20))) & ( ~ (v51 % 43.52/6.88 = v50) | ~ (v48 = v47) | ~ (v45 = v44) | ~ (v42 = v41) | ~ (v39 = % 43.52/6.88 v38) | ~ (v36 = v35) | ~ (v33 = v32) | ~ (v30 = v29) | ~ (v27 = v26) % 43.52/6.88 | ~ (v24 = v23) | ~ (v21 = v20) | ~ (v18 = v17) | ~ (v15 = v13) | ~ % 43.52/6.88 (v11 = v9) | ~ (v7 = v5) | ~ (v3 = v1) | ( ~ (v14 = e23) & ~ (v10 = % 43.52/6.88 e23) & ~ (v6 = e23) & ~ (v2 = e23)) | ( ~ (v14 = e22) & ~ (v10 = % 43.52/6.88 e22) & ~ (v6 = e22) & ~ (v2 = e22)) | ( ~ (v14 = e21) & ~ (v10 = % 43.52/6.88 e21) & ~ (v6 = e21) & ~ (v2 = e21)) | ( ~ (v14 = e20) & ~ (v10 = % 43.52/6.88 e20) & ~ (v6 = e20) & ~ (v2 = e20)))) % 43.52/6.88 % 43.52/6.88 (function-axioms) % 43.52/6.89 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (op2(v3, % 43.52/6.89 v2) = v1) | ~ (op2(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: % 43.52/6.89 $i] : ! [v3: $i] : (v1 = v0 | ~ (op1(v3, v2) = v1) | ~ (op1(v3, v2) = % 43.52/6.89 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h4(v2) = % 43.52/6.89 v1) | ~ (h4(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = % 43.52/6.89 v0 | ~ (h3(v2) = v1) | ~ (h3(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! % 43.52/6.89 [v2: $i] : (v1 = v0 | ~ (h2(v2) = v1) | ~ (h2(v2) = v0)) & ! [v0: $i] : ! % 43.52/6.89 [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h1(v2) = v1) | ~ (h1(v2) = v0)) % 43.52/6.89 % 43.52/6.89 Further assumptions not needed in the proof: % 43.52/6.89 -------------------------------------------- % 43.52/6.89 ax7, ax9 % 43.52/6.89 % 43.52/6.89 Those formulas are unsatisfiable: % 43.52/6.89 --------------------------------- % 43.52/6.89 % 43.52/6.89 Begin of proof % 43.52/6.89 | % 43.52/6.89 | ALPHA: (ax1) implies: % 43.78/6.90 | (1) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 43.78/6.90 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? % 43.78/6.90 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] : % 43.78/6.90 | ? [v15: $i] : (op1(e13, e13) = v15 & op1(e13, e12) = v14 & op1(e13, % 43.78/6.90 | e11) = v13 & op1(e13, e10) = v12 & op1(e12, e13) = v11 & op1(e12, % 43.78/6.90 | e12) = v10 & op1(e12, e11) = v9 & op1(e12, e10) = v8 & op1(e11, % 43.78/6.90 | e13) = v7 & op1(e11, e12) = v6 & op1(e11, e11) = v5 & op1(e11, e10) % 43.78/6.90 | = v4 & op1(e10, e13) = v3 & op1(e10, e12) = v2 & op1(e10, e11) = v1 & % 43.78/6.90 | op1(e10, e10) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) % 43.78/6.90 | & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & % 43.78/6.90 | $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v15 = e13 | v15 = e12 | v15 = % 43.78/6.90 | e11 | v15 = e10) & (v14 = e13 | v14 = e12 | v14 = e11 | v14 = e10) % 43.78/6.90 | & (v13 = e13 | v13 = e12 | v13 = e11 | v13 = e10) & (v12 = e13 | v12 % 43.78/6.90 | = e12 | v12 = e11 | v12 = e10) & (v11 = e13 | v11 = e12 | v11 = e11 % 43.78/6.90 | | v11 = e10) & (v10 = e13 | v10 = e12 | v10 = e11 | v10 = e10) & % 43.78/6.90 | (v9 = e13 | v9 = e12 | v9 = e11 | v9 = e10) & (v8 = e13 | v8 = e12 | % 43.78/6.90 | v8 = e11 | v8 = e10) & (v7 = e13 | v7 = e12 | v7 = e11 | v7 = e10) % 43.78/6.90 | & (v6 = e13 | v6 = e12 | v6 = e11 | v6 = e10) & (v5 = e13 | v5 = e12 % 43.78/6.90 | | v5 = e11 | v5 = e10) & (v4 = e13 | v4 = e12 | v4 = e11 | v4 = % 43.78/6.90 | e10) & (v3 = e13 | v3 = e12 | v3 = e11 | v3 = e10) & (v2 = e13 | v2 % 43.78/6.90 | = e12 | v2 = e11 | v2 = e10) & (v1 = e13 | v1 = e12 | v1 = e11 | v1 % 43.78/6.90 | = e10) & (v0 = e13 | v0 = e12 | v0 = e11 | v0 = e10)) % 43.78/6.90 | % 43.78/6.90 | ALPHA: (ax2) implies: % 43.78/6.91 | (2) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 43.78/6.91 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? % 43.78/6.91 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] : % 43.78/6.91 | ? [v15: $i] : (op1(e13, e13) = v15 & op1(e13, e12) = v14 & op1(e13, % 43.78/6.91 | e11) = v11 & op1(e13, e10) = v6 & op1(e12, e13) = v13 & op1(e12, % 43.78/6.91 | e12) = v12 & op1(e12, e11) = v10 & op1(e12, e10) = v5 & op1(e11, % 43.78/6.91 | e13) = v9 & op1(e11, e12) = v8 & op1(e11, e11) = v7 & op1(e11, e10) % 43.78/6.91 | = v4 & op1(e10, e13) = v3 & op1(e10, e12) = v2 & op1(e10, e11) = v1 & % 43.78/6.91 | op1(e10, e10) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) % 43.78/6.91 | & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & % 43.78/6.91 | $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v15 = e13 | v14 = e13 | v11 = % 43.78/6.91 | e13 | v6 = e13) & (v15 = e13 | v13 = e13 | v9 = e13 | v3 = e13) & % 43.78/6.91 | (v15 = e12 | v14 = e12 | v11 = e12 | v6 = e12) & (v15 = e12 | v13 = % 43.78/6.91 | e12 | v9 = e12 | v3 = e12) & (v15 = e11 | v14 = e11 | v11 = e11 | % 43.78/6.91 | v6 = e11) & (v15 = e11 | v13 = e11 | v9 = e11 | v3 = e11) & (v15 = % 43.78/6.91 | e10 | v14 = e10 | v11 = e10 | v6 = e10) & (v15 = e10 | v13 = e10 | % 43.78/6.91 | v9 = e10 | v3 = e10) & (v14 = e13 | v12 = e13 | v8 = e13 | v2 = % 43.78/6.91 | e13) & (v14 = e12 | v12 = e12 | v8 = e12 | v2 = e12) & (v14 = e11 | % 43.78/6.91 | v12 = e11 | v8 = e11 | v2 = e11) & (v14 = e10 | v12 = e10 | v8 = % 43.78/6.91 | e10 | v2 = e10) & (v13 = e13 | v12 = e13 | v10 = e13 | v5 = e13) & % 43.78/6.91 | (v13 = e12 | v12 = e12 | v10 = e12 | v5 = e12) & (v13 = e11 | v12 = % 43.78/6.91 | e11 | v10 = e11 | v5 = e11) & (v13 = e10 | v12 = e10 | v10 = e10 | % 43.78/6.91 | v5 = e10) & (v11 = e13 | v10 = e13 | v7 = e13 | v1 = e13) & (v11 = % 43.78/6.91 | e12 | v10 = e12 | v7 = e12 | v1 = e12) & (v11 = e11 | v10 = e11 | % 43.78/6.91 | v7 = e11 | v1 = e11) & (v11 = e10 | v10 = e10 | v7 = e10 | v1 = % 43.78/6.91 | e10) & (v9 = e13 | v8 = e13 | v7 = e13 | v4 = e13) & (v9 = e12 | v8 % 43.78/6.91 | = e12 | v7 = e12 | v4 = e12) & (v9 = e11 | v8 = e11 | v7 = e11 | v4 % 43.78/6.91 | = e11) & (v9 = e10 | v8 = e10 | v7 = e10 | v4 = e10) & (v6 = e13 | % 43.78/6.91 | v5 = e13 | v4 = e13 | v0 = e13) & (v6 = e12 | v5 = e12 | v4 = e12 | % 43.78/6.91 | v0 = e12) & (v6 = e11 | v5 = e11 | v4 = e11 | v0 = e11) & (v3 = e13 % 43.78/6.91 | | v2 = e13 | v1 = e13 | v0 = e13) & (v3 = e12 | v2 = e12 | v1 = e12 % 43.78/6.91 | | v0 = e12) & (v3 = e11 | v2 = e11 | v1 = e11 | v0 = e11) & (v0 = % 43.78/6.91 | e10 | ((v6 = e10 | v5 = e10 | v4 = e10) & (v3 = e10 | v2 = e10 | v1 % 43.78/6.91 | = e10)))) % 43.78/6.91 | % 43.78/6.91 | ALPHA: (ax3) implies: % 43.78/6.91 | (3) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 43.78/6.91 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? % 43.78/6.91 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] : % 43.78/6.91 | ? [v15: $i] : (op2(e23, e23) = v15 & op2(e23, e22) = v14 & op2(e23, % 43.78/6.91 | e21) = v13 & op2(e23, e20) = v12 & op2(e22, e23) = v11 & op2(e22, % 43.78/6.91 | e22) = v10 & op2(e22, e21) = v9 & op2(e22, e20) = v8 & op2(e21, % 43.78/6.91 | e23) = v7 & op2(e21, e22) = v6 & op2(e21, e21) = v5 & op2(e21, e20) % 43.78/6.91 | = v4 & op2(e20, e23) = v3 & op2(e20, e22) = v2 & op2(e20, e21) = v1 & % 43.78/6.91 | op2(e20, e20) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) % 43.78/6.91 | & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & % 43.78/6.91 | $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v15 = e23 | v15 = e22 | v15 = % 43.78/6.91 | e21 | v15 = e20) & (v14 = e23 | v14 = e22 | v14 = e21 | v14 = e20) % 43.78/6.91 | & (v13 = e23 | v13 = e22 | v13 = e21 | v13 = e20) & (v12 = e23 | v12 % 43.78/6.91 | = e22 | v12 = e21 | v12 = e20) & (v11 = e23 | v11 = e22 | v11 = e21 % 43.78/6.91 | | v11 = e20) & (v10 = e23 | v10 = e22 | v10 = e21 | v10 = e20) & % 43.78/6.91 | (v9 = e23 | v9 = e22 | v9 = e21 | v9 = e20) & (v8 = e23 | v8 = e22 | % 43.78/6.91 | v8 = e21 | v8 = e20) & (v7 = e23 | v7 = e22 | v7 = e21 | v7 = e20) % 43.78/6.91 | & (v6 = e23 | v6 = e22 | v6 = e21 | v6 = e20) & (v5 = e23 | v5 = e22 % 43.78/6.91 | | v5 = e21 | v5 = e20) & (v4 = e23 | v4 = e22 | v4 = e21 | v4 = % 43.78/6.91 | e20) & (v3 = e23 | v3 = e22 | v3 = e21 | v3 = e20) & (v2 = e23 | v2 % 43.78/6.91 | = e22 | v2 = e21 | v2 = e20) & (v1 = e23 | v1 = e22 | v1 = e21 | v1 % 43.78/6.91 | = e20) & (v0 = e23 | v0 = e22 | v0 = e21 | v0 = e20)) % 43.78/6.91 | % 43.78/6.91 | ALPHA: (ax4) implies: % 43.78/6.92 | (4) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 43.78/6.92 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? % 43.78/6.92 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] : % 43.78/6.92 | ? [v15: $i] : (op2(e23, e23) = v15 & op2(e23, e22) = v14 & op2(e23, % 43.78/6.92 | e21) = v11 & op2(e23, e20) = v6 & op2(e22, e23) = v13 & op2(e22, % 43.78/6.92 | e22) = v12 & op2(e22, e21) = v10 & op2(e22, e20) = v5 & op2(e21, % 43.78/6.92 | e23) = v9 & op2(e21, e22) = v8 & op2(e21, e21) = v7 & op2(e21, e20) % 43.78/6.92 | = v4 & op2(e20, e23) = v3 & op2(e20, e22) = v2 & op2(e20, e21) = v1 & % 43.78/6.92 | op2(e20, e20) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) % 43.78/6.92 | & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & % 43.78/6.92 | $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v15 = e23 | v14 = e23 | v11 = % 43.78/6.92 | e23 | v6 = e23) & (v15 = e23 | v13 = e23 | v9 = e23 | v3 = e23) & % 43.78/6.92 | (v15 = e22 | v14 = e22 | v11 = e22 | v6 = e22) & (v15 = e22 | v13 = % 43.78/6.92 | e22 | v9 = e22 | v3 = e22) & (v15 = e21 | v14 = e21 | v11 = e21 | % 43.78/6.92 | v6 = e21) & (v15 = e21 | v13 = e21 | v9 = e21 | v3 = e21) & (v15 = % 43.78/6.92 | e20 | v14 = e20 | v11 = e20 | v6 = e20) & (v15 = e20 | v13 = e20 | % 43.78/6.92 | v9 = e20 | v3 = e20) & (v14 = e23 | v12 = e23 | v8 = e23 | v2 = % 43.78/6.92 | e23) & (v14 = e22 | v12 = e22 | v8 = e22 | v2 = e22) & (v14 = e21 | % 43.78/6.92 | v12 = e21 | v8 = e21 | v2 = e21) & (v14 = e20 | v12 = e20 | v8 = % 43.78/6.92 | e20 | v2 = e20) & (v13 = e23 | v12 = e23 | v10 = e23 | v5 = e23) & % 43.78/6.92 | (v13 = e22 | v12 = e22 | v10 = e22 | v5 = e22) & (v13 = e21 | v12 = % 43.78/6.92 | e21 | v10 = e21 | v5 = e21) & (v13 = e20 | v12 = e20 | v10 = e20 | % 43.78/6.92 | v5 = e20) & (v11 = e23 | v10 = e23 | v7 = e23 | v1 = e23) & (v11 = % 43.78/6.92 | e22 | v10 = e22 | v7 = e22 | v1 = e22) & (v11 = e21 | v10 = e21 | % 43.78/6.92 | v7 = e21 | v1 = e21) & (v11 = e20 | v10 = e20 | v7 = e20 | v1 = % 43.78/6.92 | e20) & (v9 = e23 | v8 = e23 | v7 = e23 | v4 = e23) & (v9 = e22 | v8 % 43.78/6.92 | = e22 | v7 = e22 | v4 = e22) & (v9 = e21 | v8 = e21 | v7 = e21 | v4 % 43.78/6.92 | = e21) & (v9 = e20 | v8 = e20 | v7 = e20 | v4 = e20) & (v6 = e23 | % 43.78/6.92 | v5 = e23 | v4 = e23 | v0 = e23) & (v6 = e22 | v5 = e22 | v4 = e22 | % 43.78/6.92 | v0 = e22) & (v6 = e21 | v5 = e21 | v4 = e21 | v0 = e21) & (v3 = e23 % 43.78/6.92 | | v2 = e23 | v1 = e23 | v0 = e23) & (v3 = e22 | v2 = e22 | v1 = e22 % 43.78/6.92 | | v0 = e22) & (v3 = e21 | v2 = e21 | v1 = e21 | v0 = e21) & (v0 = % 43.78/6.92 | e20 | ((v6 = e20 | v5 = e20 | v4 = e20) & (v3 = e20 | v2 = e20 | v1 % 43.78/6.92 | = e20)))) % 43.78/6.92 | % 43.78/6.92 | ALPHA: (ax5) implies: % 43.78/6.92 | (5) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 43.78/6.92 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? % 43.78/6.92 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] : % 43.78/6.92 | ? [v15: $i] : ( ~ (v15 = v14) & ~ (v15 = v13) & ~ (v15 = v12) & ~ % 43.78/6.92 | (v15 = v11) & ~ (v15 = v7) & ~ (v15 = v3) & ~ (v14 = v13) & ~ % 43.78/6.92 | (v14 = v12) & ~ (v14 = v10) & ~ (v14 = v6) & ~ (v14 = v2) & ~ % 43.78/6.92 | (v13 = v12) & ~ (v13 = v9) & ~ (v13 = v5) & ~ (v13 = v1) & ~ (v12 % 43.78/6.92 | = v8) & ~ (v12 = v4) & ~ (v12 = v0) & ~ (v11 = v10) & ~ (v11 = % 43.78/6.92 | v9) & ~ (v11 = v8) & ~ (v11 = v7) & ~ (v11 = v3) & ~ (v10 = v9) % 43.78/6.92 | & ~ (v10 = v8) & ~ (v10 = v6) & ~ (v10 = v2) & ~ (v9 = v8) & ~ % 43.78/6.92 | (v9 = v5) & ~ (v9 = v1) & ~ (v8 = v4) & ~ (v8 = v0) & ~ (v7 = v6) % 43.78/6.92 | & ~ (v7 = v5) & ~ (v7 = v4) & ~ (v7 = v3) & ~ (v6 = v5) & ~ (v6 % 43.78/6.92 | = v4) & ~ (v6 = v2) & ~ (v5 = v4) & ~ (v5 = v1) & ~ (v4 = v0) & % 43.78/6.92 | ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~ (v2 = v1) & ~ (v2 = % 43.78/6.92 | v0) & ~ (v1 = v0) & op1(e13, e13) = v15 & op1(e13, e12) = v11 & % 43.78/6.92 | op1(e13, e11) = v7 & op1(e13, e10) = v3 & op1(e12, e13) = v14 & % 43.78/6.92 | op1(e12, e12) = v10 & op1(e12, e11) = v6 & op1(e12, e10) = v2 & % 43.78/6.92 | op1(e11, e13) = v13 & op1(e11, e12) = v9 & op1(e11, e11) = v5 & % 43.78/6.92 | op1(e11, e10) = v1 & op1(e10, e13) = v12 & op1(e10, e12) = v8 & % 43.78/6.92 | op1(e10, e11) = v4 & op1(e10, e10) = v0 & $i(v15) & $i(v14) & $i(v13) % 43.78/6.92 | & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & % 43.78/6.92 | $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0)) % 43.78/6.92 | % 43.78/6.92 | ALPHA: (ax6) implies: % 43.78/6.93 | (6) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 43.78/6.93 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? % 43.78/6.93 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] : % 43.78/6.93 | ? [v15: $i] : ( ~ (v15 = v14) & ~ (v15 = v13) & ~ (v15 = v12) & ~ % 43.78/6.93 | (v15 = v11) & ~ (v15 = v7) & ~ (v15 = v3) & ~ (v14 = v13) & ~ % 43.78/6.93 | (v14 = v12) & ~ (v14 = v10) & ~ (v14 = v6) & ~ (v14 = v2) & ~ % 43.78/6.93 | (v13 = v12) & ~ (v13 = v9) & ~ (v13 = v5) & ~ (v13 = v1) & ~ (v12 % 43.78/6.93 | = v8) & ~ (v12 = v4) & ~ (v12 = v0) & ~ (v11 = v10) & ~ (v11 = % 43.78/6.93 | v9) & ~ (v11 = v8) & ~ (v11 = v7) & ~ (v11 = v3) & ~ (v10 = v9) % 43.78/6.93 | & ~ (v10 = v8) & ~ (v10 = v6) & ~ (v10 = v2) & ~ (v9 = v8) & ~ % 43.78/6.93 | (v9 = v5) & ~ (v9 = v1) & ~ (v8 = v4) & ~ (v8 = v0) & ~ (v7 = v6) % 43.78/6.93 | & ~ (v7 = v5) & ~ (v7 = v4) & ~ (v7 = v3) & ~ (v6 = v5) & ~ (v6 % 43.78/6.93 | = v4) & ~ (v6 = v2) & ~ (v5 = v4) & ~ (v5 = v1) & ~ (v4 = v0) & % 43.78/6.93 | ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~ (v2 = v1) & ~ (v2 = % 43.78/6.93 | v0) & ~ (v1 = v0) & op2(e23, e23) = v15 & op2(e23, e22) = v11 & % 43.78/6.93 | op2(e23, e21) = v7 & op2(e23, e20) = v3 & op2(e22, e23) = v14 & % 43.78/6.93 | op2(e22, e22) = v10 & op2(e22, e21) = v6 & op2(e22, e20) = v2 & % 43.78/6.93 | op2(e21, e23) = v13 & op2(e21, e22) = v9 & op2(e21, e21) = v5 & % 43.78/6.93 | op2(e21, e20) = v1 & op2(e20, e23) = v12 & op2(e20, e22) = v8 & % 43.78/6.93 | op2(e20, e21) = v4 & op2(e20, e20) = v0 & $i(v15) & $i(v14) & $i(v13) % 43.78/6.93 | & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & % 43.78/6.93 | $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0)) % 43.78/6.93 | % 43.78/6.93 | ALPHA: (ax8) implies: % 43.78/6.93 | (7) ~ (e21 = e20) % 43.78/6.93 | (8) ~ (e22 = e20) % 43.78/6.93 | (9) ~ (e22 = e21) % 43.78/6.93 | (10) ~ (e23 = e20) % 43.78/6.93 | (11) ~ (e23 = e21) % 43.78/6.93 | % 43.78/6.93 | ALPHA: (ax10) implies: % 43.78/6.94 | (12) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 43.78/6.94 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : % 43.78/6.94 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: % 43.78/6.94 | $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ? % 43.78/6.94 | [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i] % 43.78/6.94 | : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ? [v28: % 43.78/6.94 | $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : (op1(e13, v12) = % 43.78/6.94 | v30 & op1(e13, v9) = v29 & op1(e13, v6) = v28 & op1(e13, v5) = v31 & % 43.78/6.94 | op1(e13, e13) = v5 & op1(e13, e12) = v12 & op1(e13, e11) = v9 & % 43.78/6.94 | op1(e13, e10) = v6 & op1(e12, v15) = v27 & op1(e12, v8) = v25 & % 43.78/6.94 | op1(e12, v4) = v24 & op1(e12, v3) = v26 & op1(e12, e13) = v15 & % 43.78/6.94 | op1(e12, e12) = v3 & op1(e12, e11) = v8 & op1(e12, e10) = v4 & % 43.78/6.94 | op1(e11, v14) = v23 & op1(e11, v11) = v22 & op1(e11, v2) = v20 & % 43.78/6.94 | op1(e11, v1) = v21 & op1(e11, e13) = v14 & op1(e11, e12) = v11 & % 43.78/6.94 | op1(e11, e11) = v1 & op1(e11, e10) = v2 & op1(e10, v13) = v19 & % 43.78/6.94 | op1(e10, v10) = v18 & op1(e10, v7) = v17 & op1(e10, v0) = v16 & % 43.78/6.94 | op1(e10, e13) = v13 & op1(e10, e12) = v10 & op1(e10, e11) = v7 & % 43.78/6.94 | op1(e10, e10) = v0 & $i(v31) & $i(v30) & $i(v29) & $i(v28) & $i(v27) % 43.78/6.94 | & $i(v26) & $i(v25) & $i(v24) & $i(v23) & $i(v22) & $i(v21) & % 43.78/6.94 | $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) % 43.78/6.94 | & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & % 43.78/6.94 | $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ((v31 % 43.78/6.94 | = e13 & v30 = e12 & v29 = e11 & v28 = e10 & ( ~ (v15 = e12) | v3 % 43.78/6.94 | = e13) & ( ~ (v14 = e11) | v1 = e13) & ( ~ (v13 = e10) | v0 = % 43.78/6.94 | e13)) | (v27 = e13 & v26 = e12 & v25 = e11 & v24 = e10 & ( ~ % 43.78/6.94 | (v12 = e13) | v5 = e12) & ( ~ (v11 = e11) | v1 = e12) & ( ~ % 43.78/6.94 | (v10 = e10) | v0 = e12)) | (v23 = e13 & v22 = e12 & v21 = e11 % 43.78/6.94 | & v20 = e10 & ( ~ (v9 = e13) | v5 = e11) & ( ~ (v8 = e12) | v3 = % 43.78/6.94 | e11) & ( ~ (v7 = e10) | v0 = e11)) | (v19 = e13 & v18 = e12 & % 43.78/6.94 | v17 = e11 & v16 = e10 & ( ~ (v6 = e13) | v5 = e10) & ( ~ (v4 = % 43.78/6.94 | e12) | v3 = e10) & ( ~ (v2 = e11) | v1 = e10))) & ((v15 = % 43.78/6.94 | e12 & v1 = e13 & ~ (v14 = e11) & ~ (v3 = e13)) | (v15 = e12 & % 43.78/6.94 | v0 = e13 & ~ (v13 = e10) & ~ (v3 = e13)) | (v14 = e11 & v3 = % 43.78/6.94 | e13 & ~ (v15 = e12) & ~ (v1 = e13)) | (v14 = e11 & v0 = e13 & % 43.78/6.94 | ~ (v13 = e10) & ~ (v1 = e13)) | (v13 = e10 & v3 = e13 & ~ (v15 % 43.78/6.94 | = e12) & ~ (v0 = e13)) | (v13 = e10 & v1 = e13 & ~ (v14 = % 43.78/6.94 | e11) & ~ (v0 = e13)) | (v12 = e13 & v1 = e12 & ~ (v11 = e11) % 43.78/6.94 | & ~ (v5 = e12)) | (v12 = e13 & v0 = e12 & ~ (v10 = e10) & ~ % 43.78/6.94 | (v5 = e12)) | (v11 = e11 & v5 = e12 & ~ (v12 = e13) & ~ (v1 = % 43.78/6.94 | e12)) | (v11 = e11 & v0 = e12 & ~ (v10 = e10) & ~ (v1 = % 43.78/6.94 | e12)) | (v10 = e10 & v5 = e12 & ~ (v12 = e13) & ~ (v0 = % 43.78/6.94 | e12)) | (v10 = e10 & v1 = e12 & ~ (v11 = e11) & ~ (v0 = % 43.78/6.94 | e12)) | (v9 = e13 & v3 = e11 & ~ (v8 = e12) & ~ (v5 = e11)) % 43.78/6.94 | | (v9 = e13 & v0 = e11 & ~ (v7 = e10) & ~ (v5 = e11)) | (v8 = % 43.78/6.94 | e12 & v5 = e11 & ~ (v9 = e13) & ~ (v3 = e11)) | (v8 = e12 & v0 % 43.78/6.94 | = e11 & ~ (v7 = e10) & ~ (v3 = e11)) | (v7 = e10 & v5 = e11 & % 43.78/6.94 | ~ (v9 = e13) & ~ (v0 = e11)) | (v7 = e10 & v3 = e11 & ~ (v8 = % 43.78/6.94 | e12) & ~ (v0 = e11)) | (v6 = e13 & v3 = e10 & ~ (v5 = e10) & % 43.78/6.94 | ~ (v4 = e12)) | (v6 = e13 & v1 = e10 & ~ (v5 = e10) & ~ (v2 = % 43.78/6.94 | e11)) | (v5 = e10 & v4 = e12 & ~ (v6 = e13) & ~ (v3 = e10)) % 43.78/6.94 | | (v5 = e10 & v2 = e11 & ~ (v6 = e13) & ~ (v1 = e10)) | (v4 = % 43.78/6.94 | e12 & v1 = e10 & ~ (v3 = e10) & ~ (v2 = e11)) | (v3 = e10 & v2 % 43.78/6.94 | = e11 & ~ (v4 = e12) & ~ (v1 = e10)))) % 43.78/6.94 | % 43.78/6.94 | ALPHA: (ax11) implies: % 43.78/6.95 | (13) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 43.78/6.95 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : % 43.78/6.95 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: % 43.78/6.95 | $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ? % 43.78/6.95 | [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i] % 43.78/6.95 | : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ? [v28: % 43.78/6.95 | $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : (op2(e23, v12) = % 43.78/6.95 | v30 & op2(e23, v9) = v29 & op2(e23, v6) = v28 & op2(e23, v5) = v31 & % 43.78/6.95 | op2(e23, e23) = v5 & op2(e23, e22) = v12 & op2(e23, e21) = v9 & % 43.78/6.95 | op2(e23, e20) = v6 & op2(e22, v15) = v27 & op2(e22, v8) = v25 & % 43.78/6.95 | op2(e22, v4) = v24 & op2(e22, v3) = v26 & op2(e22, e23) = v15 & % 43.78/6.95 | op2(e22, e22) = v3 & op2(e22, e21) = v8 & op2(e22, e20) = v4 & % 43.78/6.95 | op2(e21, v14) = v23 & op2(e21, v11) = v22 & op2(e21, v2) = v20 & % 43.78/6.95 | op2(e21, v1) = v21 & op2(e21, e23) = v14 & op2(e21, e22) = v11 & % 43.78/6.95 | op2(e21, e21) = v1 & op2(e21, e20) = v2 & op2(e20, v13) = v19 & % 43.78/6.95 | op2(e20, v10) = v18 & op2(e20, v7) = v17 & op2(e20, v0) = v16 & % 43.78/6.95 | op2(e20, e23) = v13 & op2(e20, e22) = v10 & op2(e20, e21) = v7 & % 43.78/6.95 | op2(e20, e20) = v0 & $i(v31) & $i(v30) & $i(v29) & $i(v28) & $i(v27) % 43.78/6.95 | & $i(v26) & $i(v25) & $i(v24) & $i(v23) & $i(v22) & $i(v21) & % 43.78/6.95 | $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) % 43.78/6.95 | & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & % 43.78/6.95 | $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ((v31 % 43.78/6.95 | = e23 & v30 = e22 & v29 = e21 & v28 = e20 & ( ~ (v15 = e22) | v3 % 43.78/6.95 | = e23) & ( ~ (v14 = e21) | v1 = e23) & ( ~ (v13 = e20) | v0 = % 43.78/6.95 | e23)) | (v27 = e23 & v26 = e22 & v25 = e21 & v24 = e20 & ( ~ % 43.78/6.95 | (v12 = e23) | v5 = e22) & ( ~ (v11 = e21) | v1 = e22) & ( ~ % 43.78/6.95 | (v10 = e20) | v0 = e22)) | (v23 = e23 & v22 = e22 & v21 = e21 % 43.78/6.95 | & v20 = e20 & ( ~ (v9 = e23) | v5 = e21) & ( ~ (v8 = e22) | v3 = % 43.78/6.95 | e21) & ( ~ (v7 = e20) | v0 = e21)) | (v19 = e23 & v18 = e22 & % 43.78/6.95 | v17 = e21 & v16 = e20 & ( ~ (v6 = e23) | v5 = e20) & ( ~ (v4 = % 43.78/6.95 | e22) | v3 = e20) & ( ~ (v2 = e21) | v1 = e20))) & ((v15 = % 43.78/6.95 | e22 & v1 = e23 & ~ (v14 = e21) & ~ (v3 = e23)) | (v15 = e22 & % 43.78/6.95 | v0 = e23 & ~ (v13 = e20) & ~ (v3 = e23)) | (v14 = e21 & v3 = % 43.78/6.95 | e23 & ~ (v15 = e22) & ~ (v1 = e23)) | (v14 = e21 & v0 = e23 & % 43.78/6.95 | ~ (v13 = e20) & ~ (v1 = e23)) | (v13 = e20 & v3 = e23 & ~ (v15 % 43.78/6.95 | = e22) & ~ (v0 = e23)) | (v13 = e20 & v1 = e23 & ~ (v14 = % 43.78/6.95 | e21) & ~ (v0 = e23)) | (v12 = e23 & v1 = e22 & ~ (v11 = e21) % 43.78/6.95 | & ~ (v5 = e22)) | (v12 = e23 & v0 = e22 & ~ (v10 = e20) & ~ % 43.78/6.95 | (v5 = e22)) | (v11 = e21 & v5 = e22 & ~ (v12 = e23) & ~ (v1 = % 43.78/6.95 | e22)) | (v11 = e21 & v0 = e22 & ~ (v10 = e20) & ~ (v1 = % 43.78/6.95 | e22)) | (v10 = e20 & v5 = e22 & ~ (v12 = e23) & ~ (v0 = % 43.78/6.95 | e22)) | (v10 = e20 & v1 = e22 & ~ (v11 = e21) & ~ (v0 = % 43.78/6.95 | e22)) | (v9 = e23 & v3 = e21 & ~ (v8 = e22) & ~ (v5 = e21)) % 43.78/6.95 | | (v9 = e23 & v0 = e21 & ~ (v7 = e20) & ~ (v5 = e21)) | (v8 = % 43.78/6.95 | e22 & v5 = e21 & ~ (v9 = e23) & ~ (v3 = e21)) | (v8 = e22 & v0 % 43.78/6.95 | = e21 & ~ (v7 = e20) & ~ (v3 = e21)) | (v7 = e20 & v5 = e21 & % 43.78/6.95 | ~ (v9 = e23) & ~ (v0 = e21)) | (v7 = e20 & v3 = e21 & ~ (v8 = % 43.78/6.95 | e22) & ~ (v0 = e21)) | (v6 = e23 & v3 = e20 & ~ (v5 = e20) & % 43.78/6.95 | ~ (v4 = e22)) | (v6 = e23 & v1 = e20 & ~ (v5 = e20) & ~ (v2 = % 43.78/6.95 | e21)) | (v5 = e20 & v4 = e22 & ~ (v6 = e23) & ~ (v3 = e20)) % 43.78/6.95 | | (v5 = e20 & v2 = e21 & ~ (v6 = e23) & ~ (v1 = e20)) | (v4 = % 43.78/6.95 | e22 & v1 = e20 & ~ (v3 = e20) & ~ (v2 = e21)) | (v3 = e20 & v2 % 43.78/6.95 | = e21 & ~ (v4 = e22) & ~ (v1 = e20)))) % 43.78/6.95 | % 43.78/6.95 | ALPHA: (ax12) implies: % 43.78/6.95 | (14) op1(e11, e11) = e12 % 43.78/6.95 | (15) op1(e12, e11) = e13 % 43.78/6.95 | (16) op1(e13, e13) = e10 % 43.78/6.95 | % 43.78/6.95 | ALPHA: (ax13) implies: % 43.78/6.95 | (17) op2(e21, e21) = e22 % 43.78/6.95 | (18) op2(e22, e21) = e23 % 43.78/6.95 | (19) op2(e23, e23) = e20 % 43.78/6.95 | % 43.78/6.95 | ALPHA: (ax14) implies: % 43.98/6.95 | (20) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (h1(e13) = v2 & h1(e12) = v1 % 43.98/6.95 | & h1(e11) = e20 & h1(e10) = v0 & op2(v2, v2) = v0 & op2(v1, e20) = % 43.98/6.95 | v2 & op2(e20, e20) = v1 & $i(v2) & $i(v1) & $i(v0)) % 43.98/6.95 | % 43.98/6.95 | ALPHA: (ax15) implies: % 43.98/6.95 | (21) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (h2(e13) = v2 & h2(e12) = v1 % 43.98/6.95 | & h2(e11) = e21 & h2(e10) = v0 & op2(v2, v2) = v0 & op2(v1, e21) = % 43.98/6.95 | v2 & op2(e21, e21) = v1 & $i(v2) & $i(v1) & $i(v0)) % 43.98/6.95 | % 43.98/6.95 | ALPHA: (ax16) implies: % 43.98/6.95 | (22) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (h3(e13) = v2 & h3(e12) = v1 % 43.98/6.95 | & h3(e11) = e22 & h3(e10) = v0 & op2(v2, v2) = v0 & op2(v1, e22) = % 43.98/6.95 | v2 & op2(e22, e22) = v1 & $i(v2) & $i(v1) & $i(v0)) % 43.98/6.95 | % 43.98/6.95 | ALPHA: (ax17) implies: % 43.98/6.95 | (23) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (h4(e13) = v2 & h4(e12) = v1 % 43.98/6.95 | & h4(e11) = e23 & h4(e10) = v0 & op2(v2, v2) = v0 & op2(v1, e23) = % 43.98/6.95 | v2 & op2(e23, e23) = v1 & $i(v2) & $i(v1) & $i(v0)) % 43.98/6.95 | % 43.98/6.95 | ALPHA: (co1) implies: % 43.98/6.97 | (24) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 43.98/6.97 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : % 43.98/6.97 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: % 43.98/6.97 | $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ? % 43.98/6.97 | [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i] % 43.98/6.97 | : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ? [v28: % 43.98/6.97 | $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : ? [v32: $i] : ? % 43.98/6.97 | [v33: $i] : ? [v34: $i] : ? [v35: $i] : ? [v36: $i] : ? [v37: $i] % 43.98/6.97 | : ? [v38: $i] : ? [v39: $i] : ? [v40: $i] : ? [v41: $i] : ? [v42: % 43.98/6.97 | $i] : ? [v43: $i] : ? [v44: $i] : ? [v45: $i] : ? [v46: $i] : ? % 43.98/6.97 | [v47: $i] : ? [v48: $i] : ? [v49: $i] : ? [v50: $i] : ? [v51: $i] % 43.98/6.97 | : ? [v52: $i] : ? [v53: $i] : ? [v54: $i] : ? [v55: $i] : ? [v56: % 43.98/6.97 | $i] : ? [v57: $i] : ? [v58: $i] : ? [v59: $i] : ? [v60: $i] : ? % 43.98/6.97 | [v61: $i] : ? [v62: $i] : ? [v63: $i] : ? [v64: $i] : ? [v65: $i] % 43.98/6.97 | : ? [v66: $i] : ? [v67: $i] : ? [v68: $i] : ? [v69: $i] : ? [v70: % 43.98/6.97 | $i] : ? [v71: $i] : ? [v72: $i] : ? [v73: $i] : ? [v74: $i] : ? % 43.98/6.97 | [v75: $i] : ? [v76: $i] : ? [v77: $i] : ? [v78: $i] : ? [v79: $i] % 43.98/6.97 | : ? [v80: $i] : ? [v81: $i] : ? [v82: $i] : ? [v83: $i] : ? [v84: % 43.98/6.97 | $i] : ? [v85: $i] : ? [v86: $i] : ? [v87: $i] : ? [v88: $i] : ? % 43.98/6.97 | [v89: $i] : ? [v90: $i] : ? [v91: $i] : ? [v92: $i] : ? [v93: $i] % 43.98/6.97 | : ? [v94: $i] : ? [v95: $i] : ? [v96: $i] : ? [v97: $i] : ? [v98: % 43.98/6.97 | $i] : ? [v99: $i] : ? [v100: $i] : ? [v101: $i] : ? [v102: $i] : % 43.98/6.97 | ? [v103: $i] : ? [v104: $i] : ? [v105: $i] : ? [v106: $i] : ? % 43.98/6.97 | [v107: $i] : ? [v108: $i] : ? [v109: $i] : ? [v110: $i] : ? [v111: % 43.98/6.97 | $i] : ? [v112: $i] : ? [v113: $i] : ? [v114: $i] : ? [v115: $i] % 43.98/6.97 | : ? [v116: $i] : ? [v117: $i] : ? [v118: $i] : ? [v119: $i] : ? % 43.98/6.97 | [v120: $i] : ? [v121: $i] : ? [v122: $i] : ? [v123: $i] : ? [v124: % 43.98/6.97 | $i] : ? [v125: $i] : ? [v126: $i] : ? [v127: $i] : ? [v128: $i] % 43.98/6.97 | : ? [v129: $i] : ? [v130: $i] : ? [v131: $i] : ? [v132: $i] : ? % 43.98/6.97 | [v133: $i] : ? [v134: $i] : ? [v135: $i] : ? [v136: $i] : ? [v137: % 43.98/6.97 | $i] : ? [v138: $i] : ? [v139: $i] : ? [v140: $i] : ? [v141: $i] % 43.98/6.97 | : ? [v142: $i] : ? [v143: $i] : ? [v144: $i] : ? [v145: $i] : ? % 43.98/6.97 | [v146: $i] : ? [v147: $i] : ? [v148: $i] : ? [v149: $i] : ? [v150: % 43.98/6.97 | $i] : ? [v151: $i] : ? [v152: $i] : ? [v153: $i] : ? [v154: $i] % 43.98/6.97 | : ? [v155: $i] : ? [v156: $i] : ? [v157: $i] : ? [v158: $i] : ? % 43.98/6.97 | [v159: $i] : (h4(v49) = v158 & h4(v46) = v156 & h4(v43) = v154 & % 43.98/6.97 | h4(v40) = v152 & h4(v37) = v150 & h4(v34) = v148 & h4(v31) = v146 & % 43.98/6.97 | h4(v28) = v144 & h4(v25) = v142 & h4(v22) = v140 & h4(v19) = v138 & % 43.98/6.97 | h4(v16) = v136 & h4(v12) = v133 & h4(v8) = v130 & h4(v4) = v127 & % 43.98/6.97 | h4(v0) = v124 & h4(e13) = v134 & h4(e12) = v131 & h4(e11) = v128 & % 43.98/6.97 | h4(e10) = v125 & h3(v49) = v122 & h3(v46) = v120 & h3(v43) = v118 & % 43.98/6.97 | h3(v40) = v116 & h3(v37) = v114 & h3(v34) = v112 & h3(v31) = v110 & % 43.98/6.97 | h3(v28) = v108 & h3(v25) = v106 & h3(v22) = v104 & h3(v19) = v102 & % 43.98/6.97 | h3(v16) = v100 & h3(v12) = v97 & h3(v8) = v94 & h3(v4) = v91 & % 43.98/6.97 | h3(v0) = v88 & h3(e13) = v98 & h3(e12) = v95 & h3(e11) = v92 & % 43.98/6.97 | h3(e10) = v89 & h2(v49) = v86 & h2(v46) = v84 & h2(v43) = v82 & % 43.98/6.97 | h2(v40) = v80 & h2(v37) = v78 & h2(v34) = v76 & h2(v31) = v74 & % 43.98/6.97 | h2(v28) = v72 & h2(v25) = v70 & h2(v22) = v68 & h2(v19) = v66 & % 43.98/6.97 | h2(v16) = v64 & h2(v12) = v61 & h2(v8) = v58 & h2(v4) = v55 & h2(v0) % 43.98/6.97 | = v52 & h2(e13) = v62 & h2(e12) = v59 & h2(e11) = v56 & h2(e10) = % 43.98/6.97 | v53 & h1(v49) = v50 & h1(v46) = v47 & h1(v43) = v44 & h1(v40) = v41 % 43.98/6.97 | & h1(v37) = v38 & h1(v34) = v35 & h1(v31) = v32 & h1(v28) = v29 & % 43.98/6.97 | h1(v25) = v26 & h1(v22) = v23 & h1(v19) = v20 & h1(v16) = v17 & % 43.98/6.97 | h1(v12) = v13 & h1(v8) = v9 & h1(v4) = v5 & h1(v0) = v1 & h1(e13) = % 43.98/6.97 | v14 & h1(e12) = v10 & h1(e11) = v6 & h1(e10) = v2 & op2(v134, v134) % 43.98/6.97 | = v159 & op2(v134, v131) = v157 & op2(v134, v128) = v155 & op2(v134, % 43.98/6.97 | v125) = v153 & op2(v131, v134) = v151 & op2(v131, v131) = v149 & % 43.98/6.97 | op2(v131, v128) = v147 & op2(v131, v125) = v145 & op2(v128, v134) = % 43.98/6.97 | v143 & op2(v128, v131) = v141 & op2(v128, v128) = v139 & op2(v128, % 43.98/6.97 | v125) = v137 & op2(v125, v134) = v135 & op2(v125, v131) = v132 & % 43.98/6.97 | op2(v125, v128) = v129 & op2(v125, v125) = v126 & op2(v98, v98) = % 43.98/6.97 | v123 & op2(v98, v95) = v121 & op2(v98, v92) = v119 & op2(v98, v89) = % 43.98/6.97 | v117 & op2(v95, v98) = v115 & op2(v95, v95) = v113 & op2(v95, v92) = % 43.98/6.97 | v111 & op2(v95, v89) = v109 & op2(v92, v98) = v107 & op2(v92, v95) = % 43.98/6.97 | v105 & op2(v92, v92) = v103 & op2(v92, v89) = v101 & op2(v89, v98) = % 43.98/6.97 | v99 & op2(v89, v95) = v96 & op2(v89, v92) = v93 & op2(v89, v89) = % 43.98/6.97 | v90 & op2(v62, v62) = v87 & op2(v62, v59) = v85 & op2(v62, v56) = % 43.98/6.97 | v83 & op2(v62, v53) = v81 & op2(v59, v62) = v79 & op2(v59, v59) = % 43.98/6.97 | v77 & op2(v59, v56) = v75 & op2(v59, v53) = v73 & op2(v56, v62) = % 43.98/6.97 | v71 & op2(v56, v59) = v69 & op2(v56, v56) = v67 & op2(v56, v53) = % 43.98/6.97 | v65 & op2(v53, v62) = v63 & op2(v53, v59) = v60 & op2(v53, v56) = % 43.98/6.97 | v57 & op2(v53, v53) = v54 & op2(v14, v14) = v51 & op2(v14, v10) = % 43.98/6.97 | v48 & op2(v14, v6) = v45 & op2(v14, v2) = v42 & op2(v10, v14) = v39 % 43.98/6.97 | & op2(v10, v10) = v36 & op2(v10, v6) = v33 & op2(v10, v2) = v30 & % 43.98/6.97 | op2(v6, v14) = v27 & op2(v6, v10) = v24 & op2(v6, v6) = v21 & % 43.98/6.97 | op2(v6, v2) = v18 & op2(v2, v14) = v15 & op2(v2, v10) = v11 & % 43.98/6.97 | op2(v2, v6) = v7 & op2(v2, v2) = v3 & op1(e13, e13) = v49 & op1(e13, % 43.98/6.97 | e12) = v46 & op1(e13, e11) = v43 & op1(e13, e10) = v40 & op1(e12, % 43.98/6.97 | e13) = v37 & op1(e12, e12) = v34 & op1(e12, e11) = v31 & op1(e12, % 43.98/6.97 | e10) = v28 & op1(e11, e13) = v25 & op1(e11, e12) = v22 & op1(e11, % 43.98/6.97 | e11) = v19 & op1(e11, e10) = v16 & op1(e10, e13) = v12 & op1(e10, % 43.98/6.97 | e12) = v8 & op1(e10, e11) = v4 & op1(e10, e10) = v0 & $i(v159) & % 43.98/6.97 | $i(v158) & $i(v157) & $i(v156) & $i(v155) & $i(v154) & $i(v153) & % 43.98/6.97 | $i(v152) & $i(v151) & $i(v150) & $i(v149) & $i(v148) & $i(v147) & % 43.98/6.97 | $i(v146) & $i(v145) & $i(v144) & $i(v143) & $i(v142) & $i(v141) & % 43.98/6.97 | $i(v140) & $i(v139) & $i(v138) & $i(v137) & $i(v136) & $i(v135) & % 43.98/6.97 | $i(v134) & $i(v133) & $i(v132) & $i(v131) & $i(v130) & $i(v129) & % 43.98/6.97 | $i(v128) & $i(v127) & $i(v126) & $i(v125) & $i(v124) & $i(v123) & % 43.98/6.97 | $i(v122) & $i(v121) & $i(v120) & $i(v119) & $i(v118) & $i(v117) & % 43.98/6.97 | $i(v116) & $i(v115) & $i(v114) & $i(v113) & $i(v112) & $i(v111) & % 43.98/6.97 | $i(v110) & $i(v109) & $i(v108) & $i(v107) & $i(v106) & $i(v105) & % 43.98/6.97 | $i(v104) & $i(v103) & $i(v102) & $i(v101) & $i(v100) & $i(v99) & % 43.98/6.97 | $i(v98) & $i(v97) & $i(v96) & $i(v95) & $i(v94) & $i(v93) & $i(v92) % 43.98/6.97 | & $i(v91) & $i(v90) & $i(v89) & $i(v88) & $i(v87) & $i(v86) & % 43.98/6.97 | $i(v85) & $i(v84) & $i(v83) & $i(v82) & $i(v81) & $i(v80) & $i(v79) % 43.98/6.97 | & $i(v78) & $i(v77) & $i(v76) & $i(v75) & $i(v74) & $i(v73) & % 43.98/6.97 | $i(v72) & $i(v71) & $i(v70) & $i(v69) & $i(v68) & $i(v67) & $i(v66) % 43.98/6.97 | & $i(v65) & $i(v64) & $i(v63) & $i(v62) & $i(v61) & $i(v60) & % 43.98/6.97 | $i(v59) & $i(v58) & $i(v57) & $i(v56) & $i(v55) & $i(v54) & $i(v53) % 43.98/6.97 | & $i(v52) & $i(v51) & $i(v50) & $i(v49) & $i(v48) & $i(v47) & % 43.98/6.97 | $i(v46) & $i(v45) & $i(v44) & $i(v43) & $i(v42) & $i(v41) & $i(v40) % 43.98/6.97 | & $i(v39) & $i(v38) & $i(v37) & $i(v36) & $i(v35) & $i(v34) & % 43.98/6.97 | $i(v33) & $i(v32) & $i(v31) & $i(v30) & $i(v29) & $i(v28) & $i(v27) % 43.98/6.97 | & $i(v26) & $i(v25) & $i(v24) & $i(v23) & $i(v22) & $i(v21) & % 43.98/6.97 | $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) % 43.98/6.97 | & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & % 43.98/6.97 | $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ( ~ % 43.98/6.97 | (v159 = v158) | ~ (v157 = v156) | ~ (v155 = v154) | ~ (v153 = % 43.98/6.97 | v152) | ~ (v151 = v150) | ~ (v149 = v148) | ~ (v147 = v146) | % 43.98/6.97 | ~ (v145 = v144) | ~ (v143 = v142) | ~ (v141 = v140) | ~ (v139 % 43.98/6.97 | = v138) | ~ (v137 = v136) | ~ (v135 = v133) | ~ (v132 = v130) % 43.98/6.97 | | ~ (v129 = v127) | ~ (v126 = v124) | ( ~ (v134 = e23) & ~ % 43.98/6.97 | (v131 = e23) & ~ (v128 = e23) & ~ (v125 = e23)) | ( ~ (v134 = % 43.98/6.97 | e22) & ~ (v131 = e22) & ~ (v128 = e22) & ~ (v125 = e22)) | % 43.98/6.97 | ( ~ (v134 = e21) & ~ (v131 = e21) & ~ (v128 = e21) & ~ (v125 = % 43.98/6.97 | e21)) | ( ~ (v134 = e20) & ~ (v131 = e20) & ~ (v128 = e20) & % 43.98/6.97 | ~ (v125 = e20))) & ( ~ (v123 = v122) | ~ (v121 = v120) | ~ % 43.98/6.97 | (v119 = v118) | ~ (v117 = v116) | ~ (v115 = v114) | ~ (v113 = % 43.98/6.97 | v112) | ~ (v111 = v110) | ~ (v109 = v108) | ~ (v107 = v106) | % 43.98/6.97 | ~ (v105 = v104) | ~ (v103 = v102) | ~ (v101 = v100) | ~ (v99 = % 43.98/6.97 | v97) | ~ (v96 = v94) | ~ (v93 = v91) | ~ (v90 = v88) | ( ~ % 43.98/6.97 | (v98 = e23) & ~ (v95 = e23) & ~ (v92 = e23) & ~ (v89 = e23)) % 43.98/6.97 | | ( ~ (v98 = e22) & ~ (v95 = e22) & ~ (v92 = e22) & ~ (v89 = % 43.98/6.97 | e22)) | ( ~ (v98 = e21) & ~ (v95 = e21) & ~ (v92 = e21) & ~ % 43.98/6.97 | (v89 = e21)) | ( ~ (v98 = e20) & ~ (v95 = e20) & ~ (v92 = e20) % 43.98/6.97 | & ~ (v89 = e20))) & ( ~ (v87 = v86) | ~ (v85 = v84) | ~ (v83 % 43.98/6.97 | = v82) | ~ (v81 = v80) | ~ (v79 = v78) | ~ (v77 = v76) | ~ % 43.98/6.97 | (v75 = v74) | ~ (v73 = v72) | ~ (v71 = v70) | ~ (v69 = v68) | % 43.98/6.97 | ~ (v67 = v66) | ~ (v65 = v64) | ~ (v63 = v61) | ~ (v60 = v58) | % 43.98/6.97 | ~ (v57 = v55) | ~ (v54 = v52) | ( ~ (v62 = e23) & ~ (v59 = e23) % 43.98/6.97 | & ~ (v56 = e23) & ~ (v53 = e23)) | ( ~ (v62 = e22) & ~ (v59 = % 43.98/6.97 | e22) & ~ (v56 = e22) & ~ (v53 = e22)) | ( ~ (v62 = e21) & ~ % 43.98/6.97 | (v59 = e21) & ~ (v56 = e21) & ~ (v53 = e21)) | ( ~ (v62 = e20) % 43.98/6.97 | & ~ (v59 = e20) & ~ (v56 = e20) & ~ (v53 = e20))) & ( ~ (v51 % 43.98/6.97 | = v50) | ~ (v48 = v47) | ~ (v45 = v44) | ~ (v42 = v41) | ~ % 43.98/6.97 | (v39 = v38) | ~ (v36 = v35) | ~ (v33 = v32) | ~ (v30 = v29) | % 43.98/6.97 | ~ (v27 = v26) | ~ (v24 = v23) | ~ (v21 = v20) | ~ (v18 = v17) | % 43.98/6.97 | ~ (v15 = v13) | ~ (v11 = v9) | ~ (v7 = v5) | ~ (v3 = v1) | ( ~ % 43.98/6.97 | (v14 = e23) & ~ (v10 = e23) & ~ (v6 = e23) & ~ (v2 = e23)) | % 43.98/6.97 | ( ~ (v14 = e22) & ~ (v10 = e22) & ~ (v6 = e22) & ~ (v2 = e22)) % 43.98/6.97 | | ( ~ (v14 = e21) & ~ (v10 = e21) & ~ (v6 = e21) & ~ (v2 = % 43.98/6.97 | e21)) | ( ~ (v14 = e20) & ~ (v10 = e20) & ~ (v6 = e20) & ~ % 43.98/6.97 | (v2 = e20)))) % 43.98/6.97 | % 43.98/6.97 | ALPHA: (function-axioms) implies: % 43.98/6.97 | (25) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h1(v2) = v1) % 43.98/6.97 | | ~ (h1(v2) = v0)) % 43.98/6.97 | (26) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h2(v2) = v1) % 43.98/6.97 | | ~ (h2(v2) = v0)) % 43.98/6.97 | (27) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h3(v2) = v1) % 43.98/6.97 | | ~ (h3(v2) = v0)) % 43.98/6.97 | (28) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h4(v2) = v1) % 43.98/6.97 | | ~ (h4(v2) = v0)) % 43.98/6.97 | (29) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 43.98/6.97 | (op1(v3, v2) = v1) | ~ (op1(v3, v2) = v0)) % 43.98/6.97 | (30) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 43.98/6.97 | (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0)) % 43.98/6.97 | % 43.98/6.97 | DELTA: instantiating (21) with fresh symbols all_4_0, all_4_1, all_4_2 gives: % 43.98/6.97 | (31) h2(e13) = all_4_0 & h2(e12) = all_4_1 & h2(e11) = e21 & h2(e10) = % 43.98/6.97 | all_4_2 & op2(all_4_0, all_4_0) = all_4_2 & op2(all_4_1, e21) = % 43.98/6.97 | all_4_0 & op2(e21, e21) = all_4_1 & $i(all_4_0) & $i(all_4_1) & % 43.98/6.97 | $i(all_4_2) % 43.98/6.97 | % 43.98/6.97 | ALPHA: (31) implies: % 43.98/6.98 | (32) op2(e21, e21) = all_4_1 % 43.98/6.98 | (33) op2(all_4_1, e21) = all_4_0 % 43.98/6.98 | (34) op2(all_4_0, all_4_0) = all_4_2 % 43.98/6.98 | (35) h2(e10) = all_4_2 % 43.98/6.98 | (36) h2(e11) = e21 % 43.98/6.98 | (37) h2(e12) = all_4_1 % 43.98/6.98 | (38) h2(e13) = all_4_0 % 43.98/6.98 | % 43.98/6.98 | DELTA: instantiating (22) with fresh symbols all_6_0, all_6_1, all_6_2 gives: % 43.98/6.98 | (39) h3(e13) = all_6_0 & h3(e12) = all_6_1 & h3(e11) = e22 & h3(e10) = % 43.98/6.98 | all_6_2 & op2(all_6_0, all_6_0) = all_6_2 & op2(all_6_1, e22) = % 43.98/6.98 | all_6_0 & op2(e22, e22) = all_6_1 & $i(all_6_0) & $i(all_6_1) & % 43.98/6.98 | $i(all_6_2) % 43.98/6.98 | % 43.98/6.98 | ALPHA: (39) implies: % 43.98/6.98 | (40) op2(e22, e22) = all_6_1 % 43.98/6.98 | (41) h3(e11) = e22 % 43.98/6.98 | % 43.98/6.98 | DELTA: instantiating (23) with fresh symbols all_8_0, all_8_1, all_8_2 gives: % 43.98/6.98 | (42) h4(e13) = all_8_0 & h4(e12) = all_8_1 & h4(e11) = e23 & h4(e10) = % 43.98/6.98 | all_8_2 & op2(all_8_0, all_8_0) = all_8_2 & op2(all_8_1, e23) = % 43.98/6.98 | all_8_0 & op2(e23, e23) = all_8_1 & $i(all_8_0) & $i(all_8_1) & % 43.98/6.98 | $i(all_8_2) % 43.98/6.98 | % 43.98/6.98 | ALPHA: (42) implies: % 43.98/6.98 | (43) op2(e23, e23) = all_8_1 % 43.98/6.98 | (44) op2(all_8_1, e23) = all_8_0 % 43.98/6.98 | (45) h4(e11) = e23 % 43.98/6.98 | (46) h4(e12) = all_8_1 % 43.98/6.98 | % 43.98/6.98 | DELTA: instantiating (20) with fresh symbols all_10_0, all_10_1, all_10_2 % 43.98/6.98 | gives: % 43.98/6.98 | (47) h1(e13) = all_10_0 & h1(e12) = all_10_1 & h1(e11) = e20 & h1(e10) = % 43.98/6.98 | all_10_2 & op2(all_10_0, all_10_0) = all_10_2 & op2(all_10_1, e20) = % 43.98/6.98 | all_10_0 & op2(e20, e20) = all_10_1 & $i(all_10_0) & $i(all_10_1) & % 43.98/6.98 | $i(all_10_2) % 43.98/6.98 | % 43.98/6.98 | ALPHA: (47) implies: % 43.98/6.98 | (48) op2(e20, e20) = all_10_1 % 43.98/6.98 | (49) h1(e11) = e20 % 43.98/6.98 | % 43.98/6.98 | DELTA: instantiating (5) with fresh symbols all_12_0, all_12_1, all_12_2, % 43.98/6.98 | all_12_3, all_12_4, all_12_5, all_12_6, all_12_7, all_12_8, all_12_9, % 43.98/6.98 | all_12_10, all_12_11, all_12_12, all_12_13, all_12_14, all_12_15 gives: % 43.98/6.98 | (50) ~ (all_12_0 = all_12_1) & ~ (all_12_0 = all_12_2) & ~ (all_12_0 = % 43.98/6.98 | all_12_3) & ~ (all_12_0 = all_12_4) & ~ (all_12_0 = all_12_8) & ~ % 43.98/6.98 | (all_12_0 = all_12_12) & ~ (all_12_1 = all_12_2) & ~ (all_12_1 = % 43.98/6.98 | all_12_3) & ~ (all_12_1 = all_12_5) & ~ (all_12_1 = all_12_9) & ~ % 43.98/6.98 | (all_12_1 = all_12_13) & ~ (all_12_2 = all_12_3) & ~ (all_12_2 = % 43.98/6.98 | all_12_6) & ~ (all_12_2 = all_12_10) & ~ (all_12_2 = all_12_14) & % 43.98/6.98 | ~ (all_12_3 = all_12_7) & ~ (all_12_3 = all_12_11) & ~ (all_12_3 = % 43.98/6.98 | all_12_15) & ~ (all_12_4 = all_12_5) & ~ (all_12_4 = all_12_6) & % 43.98/6.98 | ~ (all_12_4 = all_12_7) & ~ (all_12_4 = all_12_8) & ~ (all_12_4 = % 43.98/6.98 | all_12_12) & ~ (all_12_5 = all_12_6) & ~ (all_12_5 = all_12_7) & % 43.98/6.98 | ~ (all_12_5 = all_12_9) & ~ (all_12_5 = all_12_13) & ~ (all_12_6 = % 43.98/6.98 | all_12_7) & ~ (all_12_6 = all_12_10) & ~ (all_12_6 = all_12_14) & % 43.98/6.98 | ~ (all_12_7 = all_12_11) & ~ (all_12_7 = all_12_15) & ~ (all_12_8 = % 43.98/6.98 | all_12_9) & ~ (all_12_8 = all_12_10) & ~ (all_12_8 = all_12_11) & % 43.98/6.98 | ~ (all_12_8 = all_12_12) & ~ (all_12_9 = all_12_10) & ~ (all_12_9 = % 43.98/6.98 | all_12_11) & ~ (all_12_9 = all_12_13) & ~ (all_12_10 = all_12_11) % 43.98/6.98 | & ~ (all_12_10 = all_12_14) & ~ (all_12_11 = all_12_15) & ~ % 43.98/6.98 | (all_12_12 = all_12_13) & ~ (all_12_12 = all_12_14) & ~ (all_12_12 = % 43.98/6.98 | all_12_15) & ~ (all_12_13 = all_12_14) & ~ (all_12_13 = all_12_15) % 43.98/6.98 | & ~ (all_12_14 = all_12_15) & op1(e13, e13) = all_12_0 & op1(e13, % 43.98/6.98 | e12) = all_12_4 & op1(e13, e11) = all_12_8 & op1(e13, e10) = % 43.98/6.98 | all_12_12 & op1(e12, e13) = all_12_1 & op1(e12, e12) = all_12_5 & % 43.98/6.98 | op1(e12, e11) = all_12_9 & op1(e12, e10) = all_12_13 & op1(e11, e13) = % 43.98/6.98 | all_12_2 & op1(e11, e12) = all_12_6 & op1(e11, e11) = all_12_10 & % 43.98/6.98 | op1(e11, e10) = all_12_14 & op1(e10, e13) = all_12_3 & op1(e10, e12) = % 43.98/6.98 | all_12_7 & op1(e10, e11) = all_12_11 & op1(e10, e10) = all_12_15 & % 43.98/6.98 | $i(all_12_0) & $i(all_12_1) & $i(all_12_2) & $i(all_12_3) & % 43.98/6.98 | $i(all_12_4) & $i(all_12_5) & $i(all_12_6) & $i(all_12_7) & % 43.98/6.98 | $i(all_12_8) & $i(all_12_9) & $i(all_12_10) & $i(all_12_11) & % 43.98/6.98 | $i(all_12_12) & $i(all_12_13) & $i(all_12_14) & $i(all_12_15) % 43.98/6.98 | % 43.98/6.98 | ALPHA: (50) implies: % 43.98/6.98 | (51) ~ (all_12_14 = all_12_15) % 43.98/6.98 | (52) ~ (all_12_13 = all_12_15) % 43.98/6.98 | (53) ~ (all_12_12 = all_12_15) % 43.98/6.98 | (54) ~ (all_12_12 = all_12_14) % 43.98/6.98 | (55) ~ (all_12_11 = all_12_15) % 43.98/6.98 | (56) ~ (all_12_10 = all_12_11) % 43.98/6.98 | (57) ~ (all_12_9 = all_12_13) % 43.98/6.98 | (58) ~ (all_12_9 = all_12_11) % 43.98/6.98 | (59) ~ (all_12_8 = all_12_12) % 43.98/6.98 | (60) ~ (all_12_8 = all_12_11) % 43.98/6.98 | (61) ~ (all_12_8 = all_12_10) % 43.98/6.98 | (62) ~ (all_12_8 = all_12_9) % 43.98/6.98 | (63) ~ (all_12_7 = all_12_15) % 43.98/6.98 | (64) ~ (all_12_7 = all_12_11) % 43.98/6.98 | (65) ~ (all_12_6 = all_12_14) % 43.98/6.98 | (66) ~ (all_12_6 = all_12_7) % 43.98/6.98 | (67) ~ (all_12_5 = all_12_13) % 43.98/6.98 | (68) ~ (all_12_5 = all_12_9) % 43.98/6.98 | (69) ~ (all_12_5 = all_12_7) % 43.98/6.98 | (70) ~ (all_12_5 = all_12_6) % 43.98/6.98 | (71) ~ (all_12_4 = all_12_12) % 43.98/6.98 | (72) ~ (all_12_4 = all_12_8) % 43.98/6.98 | (73) ~ (all_12_4 = all_12_7) % 43.98/6.98 | (74) ~ (all_12_4 = all_12_6) % 43.98/6.98 | (75) ~ (all_12_4 = all_12_5) % 43.98/6.98 | (76) ~ (all_12_3 = all_12_15) % 43.98/6.98 | (77) ~ (all_12_3 = all_12_11) % 43.98/6.98 | (78) ~ (all_12_3 = all_12_7) % 43.98/6.98 | (79) ~ (all_12_2 = all_12_14) % 43.98/6.98 | (80) ~ (all_12_2 = all_12_10) % 43.98/6.98 | (81) ~ (all_12_2 = all_12_6) % 43.98/6.98 | (82) ~ (all_12_2 = all_12_3) % 43.98/6.99 | (83) ~ (all_12_1 = all_12_9) % 43.98/6.99 | (84) ~ (all_12_1 = all_12_5) % 43.98/6.99 | (85) ~ (all_12_1 = all_12_3) % 43.98/6.99 | (86) ~ (all_12_1 = all_12_2) % 43.98/6.99 | (87) ~ (all_12_0 = all_12_12) % 43.98/6.99 | (88) ~ (all_12_0 = all_12_8) % 43.98/6.99 | (89) ~ (all_12_0 = all_12_4) % 43.98/6.99 | (90) ~ (all_12_0 = all_12_2) % 43.98/6.99 | (91) ~ (all_12_0 = all_12_1) % 43.98/6.99 | (92) op1(e10, e10) = all_12_15 % 43.98/6.99 | (93) op1(e10, e11) = all_12_11 % 43.98/6.99 | (94) op1(e10, e12) = all_12_7 % 43.98/6.99 | (95) op1(e10, e13) = all_12_3 % 43.98/6.99 | (96) op1(e11, e10) = all_12_14 % 43.98/6.99 | (97) op1(e11, e11) = all_12_10 % 43.98/6.99 | (98) op1(e11, e12) = all_12_6 % 43.98/6.99 | (99) op1(e11, e13) = all_12_2 % 43.98/6.99 | (100) op1(e12, e10) = all_12_13 % 43.98/6.99 | (101) op1(e12, e11) = all_12_9 % 43.98/6.99 | (102) op1(e12, e12) = all_12_5 % 43.98/6.99 | (103) op1(e12, e13) = all_12_1 % 43.98/6.99 | (104) op1(e13, e10) = all_12_12 % 43.98/6.99 | (105) op1(e13, e11) = all_12_8 % 43.98/6.99 | (106) op1(e13, e12) = all_12_4 % 43.98/6.99 | (107) op1(e13, e13) = all_12_0 % 43.98/6.99 | % 43.98/6.99 | DELTA: instantiating (6) with fresh symbols all_14_0, all_14_1, all_14_2, % 43.98/6.99 | all_14_3, all_14_4, all_14_5, all_14_6, all_14_7, all_14_8, all_14_9, % 43.98/6.99 | all_14_10, all_14_11, all_14_12, all_14_13, all_14_14, all_14_15 gives: % 43.98/6.99 | (108) ~ (all_14_0 = all_14_1) & ~ (all_14_0 = all_14_2) & ~ (all_14_0 = % 43.98/6.99 | all_14_3) & ~ (all_14_0 = all_14_4) & ~ (all_14_0 = all_14_8) & % 43.98/6.99 | ~ (all_14_0 = all_14_12) & ~ (all_14_1 = all_14_2) & ~ (all_14_1 = % 43.98/6.99 | all_14_3) & ~ (all_14_1 = all_14_5) & ~ (all_14_1 = all_14_9) & % 43.98/6.99 | ~ (all_14_1 = all_14_13) & ~ (all_14_2 = all_14_3) & ~ (all_14_2 = % 43.98/6.99 | all_14_6) & ~ (all_14_2 = all_14_10) & ~ (all_14_2 = all_14_14) & % 43.98/6.99 | ~ (all_14_3 = all_14_7) & ~ (all_14_3 = all_14_11) & ~ (all_14_3 = % 43.98/6.99 | all_14_15) & ~ (all_14_4 = all_14_5) & ~ (all_14_4 = all_14_6) & % 43.98/6.99 | ~ (all_14_4 = all_14_7) & ~ (all_14_4 = all_14_8) & ~ (all_14_4 = % 43.98/6.99 | all_14_12) & ~ (all_14_5 = all_14_6) & ~ (all_14_5 = all_14_7) & % 43.98/6.99 | ~ (all_14_5 = all_14_9) & ~ (all_14_5 = all_14_13) & ~ (all_14_6 = % 43.98/6.99 | all_14_7) & ~ (all_14_6 = all_14_10) & ~ (all_14_6 = all_14_14) & % 43.98/6.99 | ~ (all_14_7 = all_14_11) & ~ (all_14_7 = all_14_15) & ~ (all_14_8 % 43.98/6.99 | = all_14_9) & ~ (all_14_8 = all_14_10) & ~ (all_14_8 = all_14_11) % 43.98/6.99 | & ~ (all_14_8 = all_14_12) & ~ (all_14_9 = all_14_10) & ~ % 43.98/6.99 | (all_14_9 = all_14_11) & ~ (all_14_9 = all_14_13) & ~ (all_14_10 = % 43.98/6.99 | all_14_11) & ~ (all_14_10 = all_14_14) & ~ (all_14_11 = % 43.98/6.99 | all_14_15) & ~ (all_14_12 = all_14_13) & ~ (all_14_12 = % 43.98/6.99 | all_14_14) & ~ (all_14_12 = all_14_15) & ~ (all_14_13 = % 43.98/6.99 | all_14_14) & ~ (all_14_13 = all_14_15) & ~ (all_14_14 = % 43.98/6.99 | all_14_15) & op2(e23, e23) = all_14_0 & op2(e23, e22) = all_14_4 & % 43.98/6.99 | op2(e23, e21) = all_14_8 & op2(e23, e20) = all_14_12 & op2(e22, e23) % 43.98/6.99 | = all_14_1 & op2(e22, e22) = all_14_5 & op2(e22, e21) = all_14_9 & % 43.98/6.99 | op2(e22, e20) = all_14_13 & op2(e21, e23) = all_14_2 & op2(e21, e22) % 43.98/6.99 | = all_14_6 & op2(e21, e21) = all_14_10 & op2(e21, e20) = all_14_14 & % 43.98/6.99 | op2(e20, e23) = all_14_3 & op2(e20, e22) = all_14_7 & op2(e20, e21) = % 43.98/6.99 | all_14_11 & op2(e20, e20) = all_14_15 & $i(all_14_0) & $i(all_14_1) & % 43.98/6.99 | $i(all_14_2) & $i(all_14_3) & $i(all_14_4) & $i(all_14_5) & % 43.98/6.99 | $i(all_14_6) & $i(all_14_7) & $i(all_14_8) & $i(all_14_9) & % 43.98/6.99 | $i(all_14_10) & $i(all_14_11) & $i(all_14_12) & $i(all_14_13) & % 43.98/6.99 | $i(all_14_14) & $i(all_14_15) % 43.98/6.99 | % 43.98/6.99 | ALPHA: (108) implies: % 43.98/6.99 | (109) ~ (all_14_14 = all_14_15) % 43.98/6.99 | (110) ~ (all_14_13 = all_14_15) % 43.98/6.99 | (111) ~ (all_14_12 = all_14_15) % 43.98/6.99 | (112) ~ (all_14_11 = all_14_15) % 43.98/6.99 | (113) ~ (all_14_10 = all_14_14) % 43.98/6.99 | (114) ~ (all_14_10 = all_14_11) % 43.98/6.99 | (115) ~ (all_14_9 = all_14_13) % 43.98/6.99 | (116) ~ (all_14_9 = all_14_11) % 43.98/6.99 | (117) ~ (all_14_9 = all_14_10) % 43.98/6.99 | (118) ~ (all_14_8 = all_14_12) % 43.98/6.99 | (119) ~ (all_14_8 = all_14_11) % 43.98/6.99 | (120) ~ (all_14_8 = all_14_10) % 43.98/6.99 | (121) ~ (all_14_8 = all_14_9) % 43.98/6.99 | (122) ~ (all_14_7 = all_14_15) % 43.98/6.99 | (123) ~ (all_14_7 = all_14_11) % 43.98/6.99 | (124) ~ (all_14_6 = all_14_14) % 43.98/6.99 | (125) ~ (all_14_6 = all_14_10) % 43.98/6.99 | (126) ~ (all_14_6 = all_14_7) % 43.98/6.99 | (127) ~ (all_14_5 = all_14_9) % 43.98/6.99 | (128) ~ (all_14_5 = all_14_7) % 43.98/6.99 | (129) ~ (all_14_4 = all_14_12) % 43.98/6.99 | (130) ~ (all_14_4 = all_14_8) % 43.98/6.99 | (131) ~ (all_14_4 = all_14_7) % 43.98/6.99 | (132) ~ (all_14_4 = all_14_6) % 43.98/6.99 | (133) ~ (all_14_4 = all_14_5) % 43.98/6.99 | (134) ~ (all_14_3 = all_14_15) % 43.98/6.99 | (135) ~ (all_14_3 = all_14_7) % 43.98/6.99 | (136) ~ (all_14_2 = all_14_10) % 43.98/6.99 | (137) ~ (all_14_2 = all_14_6) % 43.98/6.99 | (138) ~ (all_14_2 = all_14_3) % 43.98/6.99 | (139) ~ (all_14_1 = all_14_13) % 43.98/6.99 | (140) ~ (all_14_1 = all_14_9) % 43.98/6.99 | (141) ~ (all_14_1 = all_14_5) % 43.98/6.99 | (142) ~ (all_14_1 = all_14_3) % 43.98/6.99 | (143) ~ (all_14_1 = all_14_2) % 43.98/6.99 | (144) ~ (all_14_0 = all_14_12) % 43.98/6.99 | (145) ~ (all_14_0 = all_14_8) % 43.98/6.99 | (146) ~ (all_14_0 = all_14_4) % 43.98/6.99 | (147) ~ (all_14_0 = all_14_1) % 43.98/6.99 | (148) op2(e20, e20) = all_14_15 % 43.98/6.99 | (149) op2(e20, e21) = all_14_11 % 43.98/6.99 | (150) op2(e20, e22) = all_14_7 % 43.98/6.99 | (151) op2(e20, e23) = all_14_3 % 43.98/6.99 | (152) op2(e21, e20) = all_14_14 % 43.98/6.99 | (153) op2(e21, e21) = all_14_10 % 43.98/6.99 | (154) op2(e21, e22) = all_14_6 % 43.98/6.99 | (155) op2(e21, e23) = all_14_2 % 43.98/6.99 | (156) op2(e22, e20) = all_14_13 % 43.98/6.99 | (157) op2(e22, e21) = all_14_9 % 43.98/6.99 | (158) op2(e22, e22) = all_14_5 % 43.98/7.00 | (159) op2(e22, e23) = all_14_1 % 43.98/7.00 | (160) op2(e23, e20) = all_14_12 % 43.98/7.00 | (161) op2(e23, e21) = all_14_8 % 43.98/7.00 | (162) op2(e23, e22) = all_14_4 % 43.98/7.00 | (163) op2(e23, e23) = all_14_0 % 43.98/7.00 | % 43.98/7.00 | DELTA: instantiating (1) with fresh symbols all_16_0, all_16_1, all_16_2, % 43.98/7.00 | all_16_3, all_16_4, all_16_5, all_16_6, all_16_7, all_16_8, all_16_9, % 43.98/7.00 | all_16_10, all_16_11, all_16_12, all_16_13, all_16_14, all_16_15 gives: % 43.98/7.00 | (164) op1(e13, e13) = all_16_0 & op1(e13, e12) = all_16_1 & op1(e13, e11) = % 43.98/7.00 | all_16_2 & op1(e13, e10) = all_16_3 & op1(e12, e13) = all_16_4 & % 43.98/7.00 | op1(e12, e12) = all_16_5 & op1(e12, e11) = all_16_6 & op1(e12, e10) = % 43.98/7.00 | all_16_7 & op1(e11, e13) = all_16_8 & op1(e11, e12) = all_16_9 & % 43.98/7.00 | op1(e11, e11) = all_16_10 & op1(e11, e10) = all_16_11 & op1(e10, e13) % 43.98/7.00 | = all_16_12 & op1(e10, e12) = all_16_13 & op1(e10, e11) = all_16_14 & % 43.98/7.00 | op1(e10, e10) = all_16_15 & $i(all_16_0) & $i(all_16_1) & % 43.98/7.00 | $i(all_16_2) & $i(all_16_3) & $i(all_16_4) & $i(all_16_5) & % 43.98/7.00 | $i(all_16_6) & $i(all_16_7) & $i(all_16_8) & $i(all_16_9) & % 43.98/7.00 | $i(all_16_10) & $i(all_16_11) & $i(all_16_12) & $i(all_16_13) & % 43.98/7.00 | $i(all_16_14) & $i(all_16_15) & (all_16_0 = e13 | all_16_0 = e12 | % 43.98/7.00 | all_16_0 = e11 | all_16_0 = e10) & (all_16_1 = e13 | all_16_1 = e12 % 43.98/7.00 | | all_16_1 = e11 | all_16_1 = e10) & (all_16_2 = e13 | all_16_2 = % 43.98/7.00 | e12 | all_16_2 = e11 | all_16_2 = e10) & (all_16_3 = e13 | all_16_3 % 43.98/7.00 | = e12 | all_16_3 = e11 | all_16_3 = e10) & (all_16_4 = e13 | % 43.98/7.00 | all_16_4 = e12 | all_16_4 = e11 | all_16_4 = e10) & (all_16_5 = e13 % 43.98/7.00 | | all_16_5 = e12 | all_16_5 = e11 | all_16_5 = e10) & (all_16_6 = % 43.98/7.00 | e13 | all_16_6 = e12 | all_16_6 = e11 | all_16_6 = e10) & (all_16_7 % 43.98/7.00 | = e13 | all_16_7 = e12 | all_16_7 = e11 | all_16_7 = e10) & % 43.98/7.00 | (all_16_8 = e13 | all_16_8 = e12 | all_16_8 = e11 | all_16_8 = e10) & % 43.98/7.00 | (all_16_9 = e13 | all_16_9 = e12 | all_16_9 = e11 | all_16_9 = e10) & % 43.98/7.00 | (all_16_10 = e13 | all_16_10 = e12 | all_16_10 = e11 | all_16_10 = % 43.98/7.00 | e10) & (all_16_11 = e13 | all_16_11 = e12 | all_16_11 = e11 | % 43.98/7.00 | all_16_11 = e10) & (all_16_12 = e13 | all_16_12 = e12 | all_16_12 = % 43.98/7.00 | e11 | all_16_12 = e10) & (all_16_13 = e13 | all_16_13 = e12 | % 43.98/7.00 | all_16_13 = e11 | all_16_13 = e10) & (all_16_14 = e13 | all_16_14 = % 43.98/7.00 | e12 | all_16_14 = e11 | all_16_14 = e10) & (all_16_15 = e13 | % 43.98/7.00 | all_16_15 = e12 | all_16_15 = e11 | all_16_15 = e10) % 43.98/7.00 | % 43.98/7.00 | ALPHA: (164) implies: % 43.98/7.00 | (165) op1(e10, e10) = all_16_15 % 43.98/7.00 | (166) op1(e10, e11) = all_16_14 % 43.98/7.00 | (167) op1(e10, e12) = all_16_13 % 43.98/7.00 | (168) op1(e10, e13) = all_16_12 % 43.98/7.00 | (169) op1(e11, e10) = all_16_11 % 43.98/7.00 | (170) op1(e11, e11) = all_16_10 % 43.98/7.00 | (171) op1(e11, e12) = all_16_9 % 43.98/7.00 | (172) op1(e11, e13) = all_16_8 % 43.98/7.00 | (173) op1(e12, e10) = all_16_7 % 43.98/7.00 | (174) op1(e12, e11) = all_16_6 % 43.98/7.00 | (175) op1(e12, e12) = all_16_5 % 43.98/7.00 | (176) op1(e12, e13) = all_16_4 % 43.98/7.00 | (177) op1(e13, e10) = all_16_3 % 43.98/7.00 | (178) op1(e13, e11) = all_16_2 % 43.98/7.00 | (179) op1(e13, e12) = all_16_1 % 43.98/7.00 | (180) op1(e13, e13) = all_16_0 % 43.98/7.00 | (181) all_16_14 = e13 | all_16_14 = e12 | all_16_14 = e11 | all_16_14 = e10 % 43.98/7.00 | (182) all_16_13 = e13 | all_16_13 = e12 | all_16_13 = e11 | all_16_13 = e10 % 43.98/7.00 | (183) all_16_12 = e13 | all_16_12 = e12 | all_16_12 = e11 | all_16_12 = e10 % 43.98/7.00 | (184) all_16_11 = e13 | all_16_11 = e12 | all_16_11 = e11 | all_16_11 = e10 % 43.98/7.00 | (185) all_16_9 = e13 | all_16_9 = e12 | all_16_9 = e11 | all_16_9 = e10 % 43.98/7.00 | (186) all_16_8 = e13 | all_16_8 = e12 | all_16_8 = e11 | all_16_8 = e10 % 43.98/7.00 | (187) all_16_5 = e13 | all_16_5 = e12 | all_16_5 = e11 | all_16_5 = e10 % 43.98/7.00 | (188) all_16_4 = e13 | all_16_4 = e12 | all_16_4 = e11 | all_16_4 = e10 % 43.98/7.00 | (189) all_16_3 = e13 | all_16_3 = e12 | all_16_3 = e11 | all_16_3 = e10 % 43.98/7.00 | (190) all_16_2 = e13 | all_16_2 = e12 | all_16_2 = e11 | all_16_2 = e10 % 43.98/7.00 | (191) all_16_1 = e13 | all_16_1 = e12 | all_16_1 = e11 | all_16_1 = e10 % 43.98/7.00 | % 43.98/7.00 | DELTA: instantiating (3) with fresh symbols all_18_0, all_18_1, all_18_2, % 43.98/7.00 | all_18_3, all_18_4, all_18_5, all_18_6, all_18_7, all_18_8, all_18_9, % 43.98/7.00 | all_18_10, all_18_11, all_18_12, all_18_13, all_18_14, all_18_15 gives: % 43.98/7.00 | (192) op2(e23, e23) = all_18_0 & op2(e23, e22) = all_18_1 & op2(e23, e21) = % 43.98/7.00 | all_18_2 & op2(e23, e20) = all_18_3 & op2(e22, e23) = all_18_4 & % 43.98/7.00 | op2(e22, e22) = all_18_5 & op2(e22, e21) = all_18_6 & op2(e22, e20) = % 43.98/7.00 | all_18_7 & op2(e21, e23) = all_18_8 & op2(e21, e22) = all_18_9 & % 43.98/7.00 | op2(e21, e21) = all_18_10 & op2(e21, e20) = all_18_11 & op2(e20, e23) % 43.98/7.00 | = all_18_12 & op2(e20, e22) = all_18_13 & op2(e20, e21) = all_18_14 & % 43.98/7.00 | op2(e20, e20) = all_18_15 & $i(all_18_0) & $i(all_18_1) & % 43.98/7.00 | $i(all_18_2) & $i(all_18_3) & $i(all_18_4) & $i(all_18_5) & % 43.98/7.00 | $i(all_18_6) & $i(all_18_7) & $i(all_18_8) & $i(all_18_9) & % 43.98/7.00 | $i(all_18_10) & $i(all_18_11) & $i(all_18_12) & $i(all_18_13) & % 43.98/7.00 | $i(all_18_14) & $i(all_18_15) & (all_18_0 = e23 | all_18_0 = e22 | % 43.98/7.00 | all_18_0 = e21 | all_18_0 = e20) & (all_18_1 = e23 | all_18_1 = e22 % 43.98/7.00 | | all_18_1 = e21 | all_18_1 = e20) & (all_18_2 = e23 | all_18_2 = % 43.98/7.00 | e22 | all_18_2 = e21 | all_18_2 = e20) & (all_18_3 = e23 | all_18_3 % 43.98/7.00 | = e22 | all_18_3 = e21 | all_18_3 = e20) & (all_18_4 = e23 | % 43.98/7.00 | all_18_4 = e22 | all_18_4 = e21 | all_18_4 = e20) & (all_18_5 = e23 % 43.98/7.00 | | all_18_5 = e22 | all_18_5 = e21 | all_18_5 = e20) & (all_18_6 = % 43.98/7.00 | e23 | all_18_6 = e22 | all_18_6 = e21 | all_18_6 = e20) & (all_18_7 % 43.98/7.00 | = e23 | all_18_7 = e22 | all_18_7 = e21 | all_18_7 = e20) & % 43.98/7.00 | (all_18_8 = e23 | all_18_8 = e22 | all_18_8 = e21 | all_18_8 = e20) & % 43.98/7.00 | (all_18_9 = e23 | all_18_9 = e22 | all_18_9 = e21 | all_18_9 = e20) & % 43.98/7.00 | (all_18_10 = e23 | all_18_10 = e22 | all_18_10 = e21 | all_18_10 = % 43.98/7.00 | e20) & (all_18_11 = e23 | all_18_11 = e22 | all_18_11 = e21 | % 43.98/7.00 | all_18_11 = e20) & (all_18_12 = e23 | all_18_12 = e22 | all_18_12 = % 43.98/7.00 | e21 | all_18_12 = e20) & (all_18_13 = e23 | all_18_13 = e22 | % 43.98/7.00 | all_18_13 = e21 | all_18_13 = e20) & (all_18_14 = e23 | all_18_14 = % 43.98/7.00 | e22 | all_18_14 = e21 | all_18_14 = e20) & (all_18_15 = e23 | % 43.98/7.00 | all_18_15 = e22 | all_18_15 = e21 | all_18_15 = e20) % 43.98/7.00 | % 43.98/7.00 | ALPHA: (192) implies: % 43.98/7.01 | (193) op2(e20, e20) = all_18_15 % 43.98/7.01 | (194) op2(e20, e21) = all_18_14 % 43.98/7.01 | (195) op2(e20, e22) = all_18_13 % 43.98/7.01 | (196) op2(e20, e23) = all_18_12 % 43.98/7.01 | (197) op2(e21, e20) = all_18_11 % 43.98/7.01 | (198) op2(e21, e21) = all_18_10 % 43.98/7.01 | (199) op2(e21, e22) = all_18_9 % 43.98/7.01 | (200) op2(e21, e23) = all_18_8 % 43.98/7.01 | (201) op2(e22, e20) = all_18_7 % 43.98/7.01 | (202) op2(e22, e21) = all_18_6 % 43.98/7.01 | (203) op2(e22, e22) = all_18_5 % 43.98/7.01 | (204) op2(e22, e23) = all_18_4 % 43.98/7.01 | (205) op2(e23, e20) = all_18_3 % 43.98/7.01 | (206) op2(e23, e21) = all_18_2 % 43.98/7.01 | (207) op2(e23, e22) = all_18_1 % 43.98/7.01 | (208) op2(e23, e23) = all_18_0 % 43.98/7.01 | (209) all_18_13 = e23 | all_18_13 = e22 | all_18_13 = e21 | all_18_13 = e20 % 43.98/7.01 | (210) all_18_11 = e23 | all_18_11 = e22 | all_18_11 = e21 | all_18_11 = e20 % 43.98/7.01 | (211) all_18_8 = e23 | all_18_8 = e22 | all_18_8 = e21 | all_18_8 = e20 % 43.98/7.01 | (212) all_18_4 = e23 | all_18_4 = e22 | all_18_4 = e21 | all_18_4 = e20 % 43.98/7.01 | (213) all_18_3 = e23 | all_18_3 = e22 | all_18_3 = e21 | all_18_3 = e20 % 43.98/7.01 | (214) all_18_1 = e23 | all_18_1 = e22 | all_18_1 = e21 | all_18_1 = e20 % 43.98/7.01 | % 43.98/7.01 | DELTA: instantiating (4) with fresh symbols all_20_0, all_20_1, all_20_2, % 43.98/7.01 | all_20_3, all_20_4, all_20_5, all_20_6, all_20_7, all_20_8, all_20_9, % 43.98/7.01 | all_20_10, all_20_11, all_20_12, all_20_13, all_20_14, all_20_15 gives: % 43.98/7.01 | (215) op2(e23, e23) = all_20_0 & op2(e23, e22) = all_20_1 & op2(e23, e21) = % 43.98/7.01 | all_20_4 & op2(e23, e20) = all_20_9 & op2(e22, e23) = all_20_2 & % 43.98/7.01 | op2(e22, e22) = all_20_3 & op2(e22, e21) = all_20_5 & op2(e22, e20) = % 43.98/7.01 | all_20_10 & op2(e21, e23) = all_20_6 & op2(e21, e22) = all_20_7 & % 43.98/7.01 | op2(e21, e21) = all_20_8 & op2(e21, e20) = all_20_11 & op2(e20, e23) % 43.98/7.01 | = all_20_12 & op2(e20, e22) = all_20_13 & op2(e20, e21) = all_20_14 & % 43.98/7.01 | op2(e20, e20) = all_20_15 & $i(all_20_0) & $i(all_20_1) & % 43.98/7.01 | $i(all_20_2) & $i(all_20_3) & $i(all_20_4) & $i(all_20_5) & % 43.98/7.01 | $i(all_20_6) & $i(all_20_7) & $i(all_20_8) & $i(all_20_9) & % 43.98/7.01 | $i(all_20_10) & $i(all_20_11) & $i(all_20_12) & $i(all_20_13) & % 43.98/7.01 | $i(all_20_14) & $i(all_20_15) & (all_20_0 = e23 | all_20_1 = e23 | % 43.98/7.01 | all_20_4 = e23 | all_20_9 = e23) & (all_20_0 = e23 | all_20_2 = e23 % 43.98/7.01 | | all_20_6 = e23 | all_20_12 = e23) & (all_20_0 = e22 | all_20_1 = % 43.98/7.01 | e22 | all_20_4 = e22 | all_20_9 = e22) & (all_20_0 = e22 | all_20_2 % 43.98/7.01 | = e22 | all_20_6 = e22 | all_20_12 = e22) & (all_20_0 = e21 | % 43.98/7.01 | all_20_1 = e21 | all_20_4 = e21 | all_20_9 = e21) & (all_20_0 = e21 % 43.98/7.01 | | all_20_2 = e21 | all_20_6 = e21 | all_20_12 = e21) & (all_20_0 = % 43.98/7.01 | e20 | all_20_1 = e20 | all_20_4 = e20 | all_20_9 = e20) & (all_20_0 % 43.98/7.01 | = e20 | all_20_2 = e20 | all_20_6 = e20 | all_20_12 = e20) & % 43.98/7.01 | (all_20_1 = e23 | all_20_3 = e23 | all_20_7 = e23 | all_20_13 = e23) % 43.98/7.01 | & (all_20_1 = e22 | all_20_3 = e22 | all_20_7 = e22 | all_20_13 = % 43.98/7.01 | e22) & (all_20_1 = e21 | all_20_3 = e21 | all_20_7 = e21 | % 43.98/7.01 | all_20_13 = e21) & (all_20_1 = e20 | all_20_3 = e20 | all_20_7 = % 43.98/7.01 | e20 | all_20_13 = e20) & (all_20_2 = e23 | all_20_3 = e23 | % 43.98/7.01 | all_20_5 = e23 | all_20_10 = e23) & (all_20_2 = e22 | all_20_3 = % 43.98/7.01 | e22 | all_20_5 = e22 | all_20_10 = e22) & (all_20_2 = e21 | % 43.98/7.01 | all_20_3 = e21 | all_20_5 = e21 | all_20_10 = e21) & (all_20_2 = % 43.98/7.01 | e20 | all_20_3 = e20 | all_20_5 = e20 | all_20_10 = e20) & % 43.98/7.01 | (all_20_4 = e23 | all_20_5 = e23 | all_20_8 = e23 | all_20_14 = e23) % 43.98/7.01 | & (all_20_4 = e22 | all_20_5 = e22 | all_20_8 = e22 | all_20_14 = % 43.98/7.01 | e22) & (all_20_4 = e21 | all_20_5 = e21 | all_20_8 = e21 | % 43.98/7.01 | all_20_14 = e21) & (all_20_4 = e20 | all_20_5 = e20 | all_20_8 = % 43.98/7.01 | e20 | all_20_14 = e20) & (all_20_6 = e23 | all_20_7 = e23 | % 43.98/7.01 | all_20_8 = e23 | all_20_11 = e23) & (all_20_6 = e22 | all_20_7 = % 43.98/7.01 | e22 | all_20_8 = e22 | all_20_11 = e22) & (all_20_6 = e21 | % 43.98/7.01 | all_20_7 = e21 | all_20_8 = e21 | all_20_11 = e21) & (all_20_6 = % 43.98/7.01 | e20 | all_20_7 = e20 | all_20_8 = e20 | all_20_11 = e20) & % 43.98/7.01 | (all_20_9 = e23 | all_20_10 = e23 | all_20_11 = e23 | all_20_15 = % 43.98/7.01 | e23) & (all_20_9 = e22 | all_20_10 = e22 | all_20_11 = e22 | % 43.98/7.01 | all_20_15 = e22) & (all_20_9 = e21 | all_20_10 = e21 | all_20_11 = % 43.98/7.01 | e21 | all_20_15 = e21) & (all_20_12 = e23 | all_20_13 = e23 | % 43.98/7.01 | all_20_14 = e23 | all_20_15 = e23) & (all_20_12 = e22 | all_20_13 = % 43.98/7.01 | e22 | all_20_14 = e22 | all_20_15 = e22) & (all_20_12 = e21 | % 43.98/7.01 | all_20_13 = e21 | all_20_14 = e21 | all_20_15 = e21) & (all_20_15 = % 43.98/7.01 | e20 | ((all_20_9 = e20 | all_20_10 = e20 | all_20_11 = e20) & % 43.98/7.01 | (all_20_12 = e20 | all_20_13 = e20 | all_20_14 = e20))) % 43.98/7.01 | % 43.98/7.01 | ALPHA: (215) implies: % 43.98/7.01 | (216) op2(e20, e20) = all_20_15 % 43.98/7.01 | (217) op2(e20, e21) = all_20_14 % 43.98/7.01 | (218) op2(e20, e22) = all_20_13 % 43.98/7.01 | (219) op2(e20, e23) = all_20_12 % 43.98/7.01 | (220) op2(e21, e20) = all_20_11 % 43.98/7.01 | (221) op2(e21, e21) = all_20_8 % 43.98/7.01 | (222) op2(e21, e22) = all_20_7 % 43.98/7.01 | (223) op2(e21, e23) = all_20_6 % 43.98/7.01 | (224) op2(e22, e20) = all_20_10 % 43.98/7.01 | (225) op2(e22, e21) = all_20_5 % 43.98/7.01 | (226) op2(e22, e22) = all_20_3 % 43.98/7.01 | (227) op2(e22, e23) = all_20_2 % 43.98/7.01 | (228) op2(e23, e20) = all_20_9 % 43.98/7.01 | (229) op2(e23, e21) = all_20_4 % 43.98/7.01 | (230) op2(e23, e22) = all_20_1 % 43.98/7.01 | (231) op2(e23, e23) = all_20_0 % 43.98/7.01 | (232) all_20_12 = e21 | all_20_13 = e21 | all_20_14 = e21 | all_20_15 = e21 % 43.98/7.01 | (233) all_20_12 = e22 | all_20_13 = e22 | all_20_14 = e22 | all_20_15 = e22 % 43.98/7.01 | (234) all_20_12 = e23 | all_20_13 = e23 | all_20_14 = e23 | all_20_15 = e23 % 43.98/7.01 | (235) all_20_9 = e22 | all_20_10 = e22 | all_20_11 = e22 | all_20_15 = e22 % 43.98/7.01 | (236) all_20_9 = e23 | all_20_10 = e23 | all_20_11 = e23 | all_20_15 = e23 % 43.98/7.01 | (237) all_20_4 = e20 | all_20_5 = e20 | all_20_8 = e20 | all_20_14 = e20 % 43.98/7.01 | (238) all_20_4 = e21 | all_20_5 = e21 | all_20_8 = e21 | all_20_14 = e21 % 43.98/7.02 | (239) all_20_2 = e20 | all_20_3 = e20 | all_20_5 = e20 | all_20_10 = e20 % 43.98/7.02 | (240) all_20_2 = e21 | all_20_3 = e21 | all_20_5 = e21 | all_20_10 = e21 % 43.98/7.02 | (241) all_20_1 = e20 | all_20_3 = e20 | all_20_7 = e20 | all_20_13 = e20 % 43.98/7.02 | (242) all_20_1 = e23 | all_20_3 = e23 | all_20_7 = e23 | all_20_13 = e23 % 43.98/7.02 | (243) all_20_0 = e21 | all_20_2 = e21 | all_20_6 = e21 | all_20_12 = e21 % 43.98/7.02 | (244) all_20_0 = e22 | all_20_2 = e22 | all_20_6 = e22 | all_20_12 = e22 % 43.98/7.02 | (245) all_20_0 = e23 | all_20_2 = e23 | all_20_6 = e23 | all_20_12 = e23 % 43.98/7.02 | % 43.98/7.02 | DELTA: instantiating (2) with fresh symbols all_22_0, all_22_1, all_22_2, % 43.98/7.02 | all_22_3, all_22_4, all_22_5, all_22_6, all_22_7, all_22_8, all_22_9, % 43.98/7.02 | all_22_10, all_22_11, all_22_12, all_22_13, all_22_14, all_22_15 gives: % 43.98/7.02 | (246) op1(e13, e13) = all_22_0 & op1(e13, e12) = all_22_1 & op1(e13, e11) = % 43.98/7.02 | all_22_4 & op1(e13, e10) = all_22_9 & op1(e12, e13) = all_22_2 & % 43.98/7.02 | op1(e12, e12) = all_22_3 & op1(e12, e11) = all_22_5 & op1(e12, e10) = % 43.98/7.02 | all_22_10 & op1(e11, e13) = all_22_6 & op1(e11, e12) = all_22_7 & % 43.98/7.02 | op1(e11, e11) = all_22_8 & op1(e11, e10) = all_22_11 & op1(e10, e13) % 43.98/7.02 | = all_22_12 & op1(e10, e12) = all_22_13 & op1(e10, e11) = all_22_14 & % 43.98/7.02 | op1(e10, e10) = all_22_15 & $i(all_22_0) & $i(all_22_1) & % 43.98/7.02 | $i(all_22_2) & $i(all_22_3) & $i(all_22_4) & $i(all_22_5) & % 43.98/7.02 | $i(all_22_6) & $i(all_22_7) & $i(all_22_8) & $i(all_22_9) & % 43.98/7.02 | $i(all_22_10) & $i(all_22_11) & $i(all_22_12) & $i(all_22_13) & % 43.98/7.02 | $i(all_22_14) & $i(all_22_15) & (all_22_0 = e13 | all_22_1 = e13 | % 43.98/7.02 | all_22_4 = e13 | all_22_9 = e13) & (all_22_0 = e13 | all_22_2 = e13 % 43.98/7.02 | | all_22_6 = e13 | all_22_12 = e13) & (all_22_0 = e12 | all_22_1 = % 43.98/7.02 | e12 | all_22_4 = e12 | all_22_9 = e12) & (all_22_0 = e12 | all_22_2 % 43.98/7.02 | = e12 | all_22_6 = e12 | all_22_12 = e12) & (all_22_0 = e11 | % 43.98/7.02 | all_22_1 = e11 | all_22_4 = e11 | all_22_9 = e11) & (all_22_0 = e11 % 43.98/7.02 | | all_22_2 = e11 | all_22_6 = e11 | all_22_12 = e11) & (all_22_0 = % 43.98/7.02 | e10 | all_22_1 = e10 | all_22_4 = e10 | all_22_9 = e10) & (all_22_0 % 43.98/7.02 | = e10 | all_22_2 = e10 | all_22_6 = e10 | all_22_12 = e10) & % 43.98/7.02 | (all_22_1 = e13 | all_22_3 = e13 | all_22_7 = e13 | all_22_13 = e13) % 43.98/7.02 | & (all_22_1 = e12 | all_22_3 = e12 | all_22_7 = e12 | all_22_13 = % 43.98/7.02 | e12) & (all_22_1 = e11 | all_22_3 = e11 | all_22_7 = e11 | % 43.98/7.02 | all_22_13 = e11) & (all_22_1 = e10 | all_22_3 = e10 | all_22_7 = % 43.98/7.02 | e10 | all_22_13 = e10) & (all_22_2 = e13 | all_22_3 = e13 | % 43.98/7.02 | all_22_5 = e13 | all_22_10 = e13) & (all_22_2 = e12 | all_22_3 = % 43.98/7.02 | e12 | all_22_5 = e12 | all_22_10 = e12) & (all_22_2 = e11 | % 43.98/7.02 | all_22_3 = e11 | all_22_5 = e11 | all_22_10 = e11) & (all_22_2 = % 43.98/7.02 | e10 | all_22_3 = e10 | all_22_5 = e10 | all_22_10 = e10) & % 43.98/7.02 | (all_22_4 = e13 | all_22_5 = e13 | all_22_8 = e13 | all_22_14 = e13) % 43.98/7.02 | & (all_22_4 = e12 | all_22_5 = e12 | all_22_8 = e12 | all_22_14 = % 43.98/7.02 | e12) & (all_22_4 = e11 | all_22_5 = e11 | all_22_8 = e11 | % 43.98/7.02 | all_22_14 = e11) & (all_22_4 = e10 | all_22_5 = e10 | all_22_8 = % 43.98/7.02 | e10 | all_22_14 = e10) & (all_22_6 = e13 | all_22_7 = e13 | % 43.98/7.02 | all_22_8 = e13 | all_22_11 = e13) & (all_22_6 = e12 | all_22_7 = % 43.98/7.02 | e12 | all_22_8 = e12 | all_22_11 = e12) & (all_22_6 = e11 | % 43.98/7.02 | all_22_7 = e11 | all_22_8 = e11 | all_22_11 = e11) & (all_22_6 = % 43.98/7.02 | e10 | all_22_7 = e10 | all_22_8 = e10 | all_22_11 = e10) & % 43.98/7.02 | (all_22_9 = e13 | all_22_10 = e13 | all_22_11 = e13 | all_22_15 = % 43.98/7.02 | e13) & (all_22_9 = e12 | all_22_10 = e12 | all_22_11 = e12 | % 43.98/7.02 | all_22_15 = e12) & (all_22_9 = e11 | all_22_10 = e11 | all_22_11 = % 43.98/7.02 | e11 | all_22_15 = e11) & (all_22_12 = e13 | all_22_13 = e13 | % 43.98/7.02 | all_22_14 = e13 | all_22_15 = e13) & (all_22_12 = e12 | all_22_13 = % 43.98/7.02 | e12 | all_22_14 = e12 | all_22_15 = e12) & (all_22_12 = e11 | % 43.98/7.02 | all_22_13 = e11 | all_22_14 = e11 | all_22_15 = e11) & (all_22_15 = % 43.98/7.02 | e10 | ((all_22_9 = e10 | all_22_10 = e10 | all_22_11 = e10) & % 43.98/7.02 | (all_22_12 = e10 | all_22_13 = e10 | all_22_14 = e10))) % 43.98/7.02 | % 43.98/7.02 | ALPHA: (246) implies: % 43.98/7.02 | (247) op1(e10, e10) = all_22_15 % 43.98/7.02 | (248) op1(e10, e11) = all_22_14 % 43.98/7.02 | (249) op1(e10, e12) = all_22_13 % 43.98/7.02 | (250) op1(e10, e13) = all_22_12 % 43.98/7.02 | (251) op1(e11, e10) = all_22_11 % 43.98/7.02 | (252) op1(e11, e11) = all_22_8 % 43.98/7.02 | (253) op1(e11, e12) = all_22_7 % 43.98/7.02 | (254) op1(e11, e13) = all_22_6 % 43.98/7.02 | (255) op1(e12, e10) = all_22_10 % 43.98/7.02 | (256) op1(e12, e11) = all_22_5 % 43.98/7.02 | (257) op1(e12, e12) = all_22_3 % 43.98/7.02 | (258) op1(e12, e13) = all_22_2 % 43.98/7.02 | (259) op1(e13, e10) = all_22_9 % 43.98/7.02 | (260) op1(e13, e11) = all_22_4 % 43.98/7.02 | (261) op1(e13, e12) = all_22_1 % 43.98/7.02 | (262) op1(e13, e13) = all_22_0 % 43.98/7.02 | (263) all_22_15 = e10 | ((all_22_9 = e10 | all_22_10 = e10 | all_22_11 = % 43.98/7.02 | e10) & (all_22_12 = e10 | all_22_13 = e10 | all_22_14 = e10)) % 43.98/7.02 | (264) all_22_12 = e13 | all_22_13 = e13 | all_22_14 = e13 | all_22_15 = e13 % 43.98/7.02 | (265) all_22_9 = e13 | all_22_10 = e13 | all_22_11 = e13 | all_22_15 = e13 % 43.98/7.02 | (266) all_22_6 = e13 | all_22_7 = e13 | all_22_8 = e13 | all_22_11 = e13 % 43.98/7.02 | (267) all_22_2 = e10 | all_22_3 = e10 | all_22_5 = e10 | all_22_10 = e10 % 43.98/7.02 | (268) all_22_2 = e11 | all_22_3 = e11 | all_22_5 = e11 | all_22_10 = e11 % 43.98/7.02 | (269) all_22_2 = e12 | all_22_3 = e12 | all_22_5 = e12 | all_22_10 = e12 % 43.98/7.02 | (270) all_22_0 = e11 | all_22_2 = e11 | all_22_6 = e11 | all_22_12 = e11 % 43.98/7.02 | (271) all_22_0 = e12 | all_22_2 = e12 | all_22_6 = e12 | all_22_12 = e12 % 43.98/7.02 | (272) all_22_0 = e12 | all_22_1 = e12 | all_22_4 = e12 | all_22_9 = e12 % 43.98/7.02 | (273) all_22_0 = e13 | all_22_1 = e13 | all_22_4 = e13 | all_22_9 = e13 % 43.98/7.02 | % 43.98/7.02 | DELTA: instantiating (13) with fresh symbols all_24_0, all_24_1, all_24_2, % 43.98/7.02 | all_24_3, all_24_4, all_24_5, all_24_6, all_24_7, all_24_8, all_24_9, % 43.98/7.02 | all_24_10, all_24_11, all_24_12, all_24_13, all_24_14, all_24_15, % 43.98/7.02 | all_24_16, all_24_17, all_24_18, all_24_19, all_24_20, all_24_21, % 43.98/7.02 | all_24_22, all_24_23, all_24_24, all_24_25, all_24_26, all_24_27, % 43.98/7.02 | all_24_28, all_24_29, all_24_30, all_24_31 gives: % 43.98/7.03 | (274) op2(e23, all_24_19) = all_24_1 & op2(e23, all_24_22) = all_24_2 & % 43.98/7.03 | op2(e23, all_24_25) = all_24_3 & op2(e23, all_24_26) = all_24_0 & % 43.98/7.03 | op2(e23, e23) = all_24_26 & op2(e23, e22) = all_24_19 & op2(e23, e21) % 43.98/7.03 | = all_24_22 & op2(e23, e20) = all_24_25 & op2(e22, all_24_16) = % 43.98/7.03 | all_24_4 & op2(e22, all_24_23) = all_24_6 & op2(e22, all_24_27) = % 43.98/7.03 | all_24_7 & op2(e22, all_24_28) = all_24_5 & op2(e22, e23) = all_24_16 % 43.98/7.03 | & op2(e22, e22) = all_24_28 & op2(e22, e21) = all_24_23 & op2(e22, % 43.98/7.03 | e20) = all_24_27 & op2(e21, all_24_17) = all_24_8 & op2(e21, % 43.98/7.03 | all_24_20) = all_24_9 & op2(e21, all_24_29) = all_24_11 & op2(e21, % 43.98/7.03 | all_24_30) = all_24_10 & op2(e21, e23) = all_24_17 & op2(e21, e22) % 43.98/7.03 | = all_24_20 & op2(e21, e21) = all_24_30 & op2(e21, e20) = all_24_29 & % 43.98/7.03 | op2(e20, all_24_18) = all_24_12 & op2(e20, all_24_21) = all_24_13 & % 43.98/7.03 | op2(e20, all_24_24) = all_24_14 & op2(e20, all_24_31) = all_24_15 & % 43.98/7.03 | op2(e20, e23) = all_24_18 & op2(e20, e22) = all_24_21 & op2(e20, e21) % 43.98/7.03 | = all_24_24 & op2(e20, e20) = all_24_31 & $i(all_24_0) & $i(all_24_1) % 43.98/7.03 | & $i(all_24_2) & $i(all_24_3) & $i(all_24_4) & $i(all_24_5) & % 43.98/7.03 | $i(all_24_6) & $i(all_24_7) & $i(all_24_8) & $i(all_24_9) & % 43.98/7.03 | $i(all_24_10) & $i(all_24_11) & $i(all_24_12) & $i(all_24_13) & % 43.98/7.03 | $i(all_24_14) & $i(all_24_15) & $i(all_24_16) & $i(all_24_17) & % 43.98/7.03 | $i(all_24_18) & $i(all_24_19) & $i(all_24_20) & $i(all_24_21) & % 43.98/7.03 | $i(all_24_22) & $i(all_24_23) & $i(all_24_24) & $i(all_24_25) & % 43.98/7.03 | $i(all_24_26) & $i(all_24_27) & $i(all_24_28) & $i(all_24_29) & % 43.98/7.03 | $i(all_24_30) & $i(all_24_31) & ((all_24_0 = e23 & all_24_1 = e22 & % 43.98/7.03 | all_24_2 = e21 & all_24_3 = e20 & ( ~ (all_24_16 = e22) | % 43.98/7.03 | all_24_28 = e23) & ( ~ (all_24_17 = e21) | all_24_30 = e23) & ( % 43.98/7.03 | ~ (all_24_18 = e20) | all_24_31 = e23)) | (all_24_4 = e23 & % 43.98/7.03 | all_24_5 = e22 & all_24_6 = e21 & all_24_7 = e20 & ( ~ (all_24_19 % 43.98/7.03 | = e23) | all_24_26 = e22) & ( ~ (all_24_20 = e21) | all_24_30 % 43.98/7.03 | = e22) & ( ~ (all_24_21 = e20) | all_24_31 = e22)) | (all_24_8 % 43.98/7.03 | = e23 & all_24_9 = e22 & all_24_10 = e21 & all_24_11 = e20 & ( ~ % 43.98/7.03 | (all_24_22 = e23) | all_24_26 = e21) & ( ~ (all_24_23 = e22) | % 43.98/7.03 | all_24_28 = e21) & ( ~ (all_24_24 = e20) | all_24_31 = e21)) | % 43.98/7.03 | (all_24_12 = e23 & all_24_13 = e22 & all_24_14 = e21 & all_24_15 = % 43.98/7.03 | e20 & ( ~ (all_24_25 = e23) | all_24_26 = e20) & ( ~ (all_24_27 = % 43.98/7.03 | e22) | all_24_28 = e20) & ( ~ (all_24_29 = e21) | all_24_30 = % 43.98/7.03 | e20))) & ((all_24_16 = e22 & all_24_30 = e23 & ~ (all_24_17 = % 43.98/7.03 | e21) & ~ (all_24_28 = e23)) | (all_24_16 = e22 & all_24_31 = % 43.98/7.03 | e23 & ~ (all_24_18 = e20) & ~ (all_24_28 = e23)) | (all_24_17 = % 43.98/7.03 | e21 & all_24_28 = e23 & ~ (all_24_16 = e22) & ~ (all_24_30 = % 43.98/7.03 | e23)) | (all_24_17 = e21 & all_24_31 = e23 & ~ (all_24_18 = % 43.98/7.03 | e20) & ~ (all_24_30 = e23)) | (all_24_18 = e20 & all_24_28 = % 43.98/7.03 | e23 & ~ (all_24_16 = e22) & ~ (all_24_31 = e23)) | (all_24_18 = % 43.98/7.03 | e20 & all_24_30 = e23 & ~ (all_24_17 = e21) & ~ (all_24_31 = % 43.98/7.03 | e23)) | (all_24_19 = e23 & all_24_30 = e22 & ~ (all_24_20 = % 43.98/7.03 | e21) & ~ (all_24_26 = e22)) | (all_24_19 = e23 & all_24_31 = % 43.98/7.03 | e22 & ~ (all_24_21 = e20) & ~ (all_24_26 = e22)) | (all_24_20 = % 43.98/7.03 | e21 & all_24_26 = e22 & ~ (all_24_19 = e23) & ~ (all_24_30 = % 43.98/7.03 | e22)) | (all_24_20 = e21 & all_24_31 = e22 & ~ (all_24_21 = % 43.98/7.03 | e20) & ~ (all_24_30 = e22)) | (all_24_21 = e20 & all_24_26 = % 43.98/7.03 | e22 & ~ (all_24_19 = e23) & ~ (all_24_31 = e22)) | (all_24_21 = % 43.98/7.03 | e20 & all_24_30 = e22 & ~ (all_24_20 = e21) & ~ (all_24_31 = % 43.98/7.03 | e22)) | (all_24_22 = e23 & all_24_28 = e21 & ~ (all_24_23 = % 43.98/7.03 | e22) & ~ (all_24_26 = e21)) | (all_24_22 = e23 & all_24_31 = % 43.98/7.03 | e21 & ~ (all_24_24 = e20) & ~ (all_24_26 = e21)) | (all_24_23 = % 43.98/7.03 | e22 & all_24_26 = e21 & ~ (all_24_22 = e23) & ~ (all_24_28 = % 43.98/7.03 | e21)) | (all_24_23 = e22 & all_24_31 = e21 & ~ (all_24_24 = % 43.98/7.03 | e20) & ~ (all_24_28 = e21)) | (all_24_24 = e20 & all_24_26 = % 43.98/7.03 | e21 & ~ (all_24_22 = e23) & ~ (all_24_31 = e21)) | (all_24_24 = % 43.98/7.03 | e20 & all_24_28 = e21 & ~ (all_24_23 = e22) & ~ (all_24_31 = % 43.98/7.03 | e21)) | (all_24_25 = e23 & all_24_28 = e20 & ~ (all_24_26 = % 43.98/7.03 | e20) & ~ (all_24_27 = e22)) | (all_24_25 = e23 & all_24_30 = % 43.98/7.03 | e20 & ~ (all_24_26 = e20) & ~ (all_24_29 = e21)) | (all_24_26 = % 43.98/7.03 | e20 & all_24_27 = e22 & ~ (all_24_25 = e23) & ~ (all_24_28 = % 43.98/7.03 | e20)) | (all_24_26 = e20 & all_24_29 = e21 & ~ (all_24_25 = % 43.98/7.03 | e23) & ~ (all_24_30 = e20)) | (all_24_27 = e22 & all_24_30 = % 43.98/7.03 | e20 & ~ (all_24_28 = e20) & ~ (all_24_29 = e21)) | (all_24_28 = % 43.98/7.03 | e20 & all_24_29 = e21 & ~ (all_24_27 = e22) & ~ (all_24_30 = % 43.98/7.03 | e20))) % 43.98/7.03 | % 43.98/7.03 | ALPHA: (274) implies: % 43.98/7.03 | (275) op2(e20, e20) = all_24_31 % 43.98/7.03 | (276) op2(e20, e21) = all_24_24 % 43.98/7.03 | (277) op2(e20, e22) = all_24_21 % 43.98/7.03 | (278) op2(e20, e23) = all_24_18 % 43.98/7.03 | (279) op2(e20, all_24_24) = all_24_14 % 43.98/7.03 | (280) op2(e20, all_24_21) = all_24_13 % 43.98/7.03 | (281) op2(e21, e20) = all_24_29 % 43.98/7.03 | (282) op2(e21, e21) = all_24_30 % 43.98/7.03 | (283) op2(e21, e22) = all_24_20 % 43.98/7.03 | (284) op2(e21, e23) = all_24_17 % 43.98/7.03 | (285) op2(e21, all_24_30) = all_24_10 % 43.98/7.03 | (286) op2(e22, e20) = all_24_27 % 43.98/7.03 | (287) op2(e22, e21) = all_24_23 % 43.98/7.03 | (288) op2(e22, e22) = all_24_28 % 43.98/7.03 | (289) op2(e22, e23) = all_24_16 % 43.98/7.03 | (290) op2(e22, all_24_23) = all_24_6 % 43.98/7.03 | (291) op2(e23, e20) = all_24_25 % 43.98/7.03 | (292) op2(e23, e21) = all_24_22 % 43.98/7.03 | (293) op2(e23, e22) = all_24_19 % 43.98/7.03 | (294) op2(e23, e23) = all_24_26 % 43.98/7.03 | (295) op2(e23, all_24_26) = all_24_0 % 43.98/7.03 | (296) op2(e23, all_24_22) = all_24_2 % 43.98/7.03 | (297) (all_24_16 = e22 & all_24_30 = e23 & ~ (all_24_17 = e21) & ~ % 43.98/7.03 | (all_24_28 = e23)) | (all_24_16 = e22 & all_24_31 = e23 & ~ % 43.98/7.03 | (all_24_18 = e20) & ~ (all_24_28 = e23)) | (all_24_17 = e21 & % 43.98/7.03 | all_24_28 = e23 & ~ (all_24_16 = e22) & ~ (all_24_30 = e23)) | % 43.98/7.03 | (all_24_17 = e21 & all_24_31 = e23 & ~ (all_24_18 = e20) & ~ % 43.98/7.03 | (all_24_30 = e23)) | (all_24_18 = e20 & all_24_28 = e23 & ~ % 43.98/7.03 | (all_24_16 = e22) & ~ (all_24_31 = e23)) | (all_24_18 = e20 & % 43.98/7.03 | all_24_30 = e23 & ~ (all_24_17 = e21) & ~ (all_24_31 = e23)) | % 43.98/7.03 | (all_24_19 = e23 & all_24_30 = e22 & ~ (all_24_20 = e21) & ~ % 43.98/7.03 | (all_24_26 = e22)) | (all_24_19 = e23 & all_24_31 = e22 & ~ % 43.98/7.03 | (all_24_21 = e20) & ~ (all_24_26 = e22)) | (all_24_20 = e21 & % 43.98/7.03 | all_24_26 = e22 & ~ (all_24_19 = e23) & ~ (all_24_30 = e22)) | % 43.98/7.03 | (all_24_20 = e21 & all_24_31 = e22 & ~ (all_24_21 = e20) & ~ % 43.98/7.03 | (all_24_30 = e22)) | (all_24_21 = e20 & all_24_26 = e22 & ~ % 43.98/7.03 | (all_24_19 = e23) & ~ (all_24_31 = e22)) | (all_24_21 = e20 & % 43.98/7.03 | all_24_30 = e22 & ~ (all_24_20 = e21) & ~ (all_24_31 = e22)) | % 43.98/7.03 | (all_24_22 = e23 & all_24_28 = e21 & ~ (all_24_23 = e22) & ~ % 43.98/7.03 | (all_24_26 = e21)) | (all_24_22 = e23 & all_24_31 = e21 & ~ % 43.98/7.03 | (all_24_24 = e20) & ~ (all_24_26 = e21)) | (all_24_23 = e22 & % 43.98/7.03 | all_24_26 = e21 & ~ (all_24_22 = e23) & ~ (all_24_28 = e21)) | % 43.98/7.03 | (all_24_23 = e22 & all_24_31 = e21 & ~ (all_24_24 = e20) & ~ % 43.98/7.03 | (all_24_28 = e21)) | (all_24_24 = e20 & all_24_26 = e21 & ~ % 43.98/7.03 | (all_24_22 = e23) & ~ (all_24_31 = e21)) | (all_24_24 = e20 & % 43.98/7.03 | all_24_28 = e21 & ~ (all_24_23 = e22) & ~ (all_24_31 = e21)) | % 43.98/7.03 | (all_24_25 = e23 & all_24_28 = e20 & ~ (all_24_26 = e20) & ~ % 43.98/7.03 | (all_24_27 = e22)) | (all_24_25 = e23 & all_24_30 = e20 & ~ % 43.98/7.03 | (all_24_26 = e20) & ~ (all_24_29 = e21)) | (all_24_26 = e20 & % 43.98/7.03 | all_24_27 = e22 & ~ (all_24_25 = e23) & ~ (all_24_28 = e20)) | % 43.98/7.03 | (all_24_26 = e20 & all_24_29 = e21 & ~ (all_24_25 = e23) & ~ % 43.98/7.03 | (all_24_30 = e20)) | (all_24_27 = e22 & all_24_30 = e20 & ~ % 43.98/7.03 | (all_24_28 = e20) & ~ (all_24_29 = e21)) | (all_24_28 = e20 & % 43.98/7.03 | all_24_29 = e21 & ~ (all_24_27 = e22) & ~ (all_24_30 = e20)) % 43.98/7.03 | (298) (all_24_0 = e23 & all_24_1 = e22 & all_24_2 = e21 & all_24_3 = e20 & % 43.98/7.03 | ( ~ (all_24_16 = e22) | all_24_28 = e23) & ( ~ (all_24_17 = e21) | % 43.98/7.03 | all_24_30 = e23) & ( ~ (all_24_18 = e20) | all_24_31 = e23)) | % 43.98/7.03 | (all_24_4 = e23 & all_24_5 = e22 & all_24_6 = e21 & all_24_7 = e20 & % 43.98/7.03 | ( ~ (all_24_19 = e23) | all_24_26 = e22) & ( ~ (all_24_20 = e21) | % 43.98/7.03 | all_24_30 = e22) & ( ~ (all_24_21 = e20) | all_24_31 = e22)) | % 43.98/7.03 | (all_24_8 = e23 & all_24_9 = e22 & all_24_10 = e21 & all_24_11 = e20 % 43.98/7.03 | & ( ~ (all_24_22 = e23) | all_24_26 = e21) & ( ~ (all_24_23 = e22) % 43.98/7.03 | | all_24_28 = e21) & ( ~ (all_24_24 = e20) | all_24_31 = e21)) | % 43.98/7.03 | (all_24_12 = e23 & all_24_13 = e22 & all_24_14 = e21 & all_24_15 = % 43.98/7.03 | e20 & ( ~ (all_24_25 = e23) | all_24_26 = e20) & ( ~ (all_24_27 = % 43.98/7.03 | e22) | all_24_28 = e20) & ( ~ (all_24_29 = e21) | all_24_30 = % 43.98/7.03 | e20)) % 43.98/7.03 | % 43.98/7.03 | DELTA: instantiating (12) with fresh symbols all_26_0, all_26_1, all_26_2, % 43.98/7.03 | all_26_3, all_26_4, all_26_5, all_26_6, all_26_7, all_26_8, all_26_9, % 43.98/7.03 | all_26_10, all_26_11, all_26_12, all_26_13, all_26_14, all_26_15, % 43.98/7.03 | all_26_16, all_26_17, all_26_18, all_26_19, all_26_20, all_26_21, % 43.98/7.03 | all_26_22, all_26_23, all_26_24, all_26_25, all_26_26, all_26_27, % 43.98/7.03 | all_26_28, all_26_29, all_26_30, all_26_31 gives: % 43.98/7.04 | (299) op1(e13, all_26_19) = all_26_1 & op1(e13, all_26_22) = all_26_2 & % 43.98/7.04 | op1(e13, all_26_25) = all_26_3 & op1(e13, all_26_26) = all_26_0 & % 43.98/7.04 | op1(e13, e13) = all_26_26 & op1(e13, e12) = all_26_19 & op1(e13, e11) % 43.98/7.04 | = all_26_22 & op1(e13, e10) = all_26_25 & op1(e12, all_26_16) = % 43.98/7.04 | all_26_4 & op1(e12, all_26_23) = all_26_6 & op1(e12, all_26_27) = % 43.98/7.04 | all_26_7 & op1(e12, all_26_28) = all_26_5 & op1(e12, e13) = all_26_16 % 43.98/7.04 | & op1(e12, e12) = all_26_28 & op1(e12, e11) = all_26_23 & op1(e12, % 43.98/7.04 | e10) = all_26_27 & op1(e11, all_26_17) = all_26_8 & op1(e11, % 43.98/7.04 | all_26_20) = all_26_9 & op1(e11, all_26_29) = all_26_11 & op1(e11, % 43.98/7.04 | all_26_30) = all_26_10 & op1(e11, e13) = all_26_17 & op1(e11, e12) % 43.98/7.04 | = all_26_20 & op1(e11, e11) = all_26_30 & op1(e11, e10) = all_26_29 & % 43.98/7.04 | op1(e10, all_26_18) = all_26_12 & op1(e10, all_26_21) = all_26_13 & % 43.98/7.04 | op1(e10, all_26_24) = all_26_14 & op1(e10, all_26_31) = all_26_15 & % 43.98/7.04 | op1(e10, e13) = all_26_18 & op1(e10, e12) = all_26_21 & op1(e10, e11) % 43.98/7.04 | = all_26_24 & op1(e10, e10) = all_26_31 & $i(all_26_0) & $i(all_26_1) % 43.98/7.04 | & $i(all_26_2) & $i(all_26_3) & $i(all_26_4) & $i(all_26_5) & % 43.98/7.04 | $i(all_26_6) & $i(all_26_7) & $i(all_26_8) & $i(all_26_9) & % 43.98/7.04 | $i(all_26_10) & $i(all_26_11) & $i(all_26_12) & $i(all_26_13) & % 43.98/7.04 | $i(all_26_14) & $i(all_26_15) & $i(all_26_16) & $i(all_26_17) & % 43.98/7.04 | $i(all_26_18) & $i(all_26_19) & $i(all_26_20) & $i(all_26_21) & % 43.98/7.04 | $i(all_26_22) & $i(all_26_23) & $i(all_26_24) & $i(all_26_25) & % 43.98/7.04 | $i(all_26_26) & $i(all_26_27) & $i(all_26_28) & $i(all_26_29) & % 43.98/7.04 | $i(all_26_30) & $i(all_26_31) & ((all_26_0 = e13 & all_26_1 = e12 & % 43.98/7.04 | all_26_2 = e11 & all_26_3 = e10 & ( ~ (all_26_16 = e12) | % 43.98/7.04 | all_26_28 = e13) & ( ~ (all_26_17 = e11) | all_26_30 = e13) & ( % 43.98/7.04 | ~ (all_26_18 = e10) | all_26_31 = e13)) | (all_26_4 = e13 & % 43.98/7.04 | all_26_5 = e12 & all_26_6 = e11 & all_26_7 = e10 & ( ~ (all_26_19 % 43.98/7.04 | = e13) | all_26_26 = e12) & ( ~ (all_26_20 = e11) | all_26_30 % 43.98/7.04 | = e12) & ( ~ (all_26_21 = e10) | all_26_31 = e12)) | (all_26_8 % 43.98/7.04 | = e13 & all_26_9 = e12 & all_26_10 = e11 & all_26_11 = e10 & ( ~ % 43.98/7.04 | (all_26_22 = e13) | all_26_26 = e11) & ( ~ (all_26_23 = e12) | % 43.98/7.04 | all_26_28 = e11) & ( ~ (all_26_24 = e10) | all_26_31 = e11)) | % 43.98/7.04 | (all_26_12 = e13 & all_26_13 = e12 & all_26_14 = e11 & all_26_15 = % 43.98/7.04 | e10 & ( ~ (all_26_25 = e13) | all_26_26 = e10) & ( ~ (all_26_27 = % 43.98/7.04 | e12) | all_26_28 = e10) & ( ~ (all_26_29 = e11) | all_26_30 = % 43.98/7.04 | e10))) & ((all_26_16 = e12 & all_26_30 = e13 & ~ (all_26_17 = % 43.98/7.04 | e11) & ~ (all_26_28 = e13)) | (all_26_16 = e12 & all_26_31 = % 43.98/7.04 | e13 & ~ (all_26_18 = e10) & ~ (all_26_28 = e13)) | (all_26_17 = % 43.98/7.04 | e11 & all_26_28 = e13 & ~ (all_26_16 = e12) & ~ (all_26_30 = % 43.98/7.04 | e13)) | (all_26_17 = e11 & all_26_31 = e13 & ~ (all_26_18 = % 43.98/7.04 | e10) & ~ (all_26_30 = e13)) | (all_26_18 = e10 & all_26_28 = % 43.98/7.04 | e13 & ~ (all_26_16 = e12) & ~ (all_26_31 = e13)) | (all_26_18 = % 43.98/7.04 | e10 & all_26_30 = e13 & ~ (all_26_17 = e11) & ~ (all_26_31 = % 43.98/7.04 | e13)) | (all_26_19 = e13 & all_26_30 = e12 & ~ (all_26_20 = % 43.98/7.04 | e11) & ~ (all_26_26 = e12)) | (all_26_19 = e13 & all_26_31 = % 43.98/7.04 | e12 & ~ (all_26_21 = e10) & ~ (all_26_26 = e12)) | (all_26_20 = % 43.98/7.04 | e11 & all_26_26 = e12 & ~ (all_26_19 = e13) & ~ (all_26_30 = % 43.98/7.04 | e12)) | (all_26_20 = e11 & all_26_31 = e12 & ~ (all_26_21 = % 43.98/7.04 | e10) & ~ (all_26_30 = e12)) | (all_26_21 = e10 & all_26_26 = % 43.98/7.04 | e12 & ~ (all_26_19 = e13) & ~ (all_26_31 = e12)) | (all_26_21 = % 43.98/7.04 | e10 & all_26_30 = e12 & ~ (all_26_20 = e11) & ~ (all_26_31 = % 43.98/7.04 | e12)) | (all_26_22 = e13 & all_26_28 = e11 & ~ (all_26_23 = % 43.98/7.04 | e12) & ~ (all_26_26 = e11)) | (all_26_22 = e13 & all_26_31 = % 43.98/7.04 | e11 & ~ (all_26_24 = e10) & ~ (all_26_26 = e11)) | (all_26_23 = % 43.98/7.04 | e12 & all_26_26 = e11 & ~ (all_26_22 = e13) & ~ (all_26_28 = % 43.98/7.04 | e11)) | (all_26_23 = e12 & all_26_31 = e11 & ~ (all_26_24 = % 43.98/7.04 | e10) & ~ (all_26_28 = e11)) | (all_26_24 = e10 & all_26_26 = % 43.98/7.04 | e11 & ~ (all_26_22 = e13) & ~ (all_26_31 = e11)) | (all_26_24 = % 43.98/7.04 | e10 & all_26_28 = e11 & ~ (all_26_23 = e12) & ~ (all_26_31 = % 43.98/7.04 | e11)) | (all_26_25 = e13 & all_26_28 = e10 & ~ (all_26_26 = % 43.98/7.04 | e10) & ~ (all_26_27 = e12)) | (all_26_25 = e13 & all_26_30 = % 43.98/7.04 | e10 & ~ (all_26_26 = e10) & ~ (all_26_29 = e11)) | (all_26_26 = % 43.98/7.04 | e10 & all_26_27 = e12 & ~ (all_26_25 = e13) & ~ (all_26_28 = % 43.98/7.04 | e10)) | (all_26_26 = e10 & all_26_29 = e11 & ~ (all_26_25 = % 43.98/7.04 | e13) & ~ (all_26_30 = e10)) | (all_26_27 = e12 & all_26_30 = % 43.98/7.04 | e10 & ~ (all_26_28 = e10) & ~ (all_26_29 = e11)) | (all_26_28 = % 43.98/7.04 | e10 & all_26_29 = e11 & ~ (all_26_27 = e12) & ~ (all_26_30 = % 43.98/7.04 | e10))) % 43.98/7.04 | % 43.98/7.04 | ALPHA: (299) implies: % 43.98/7.04 | (300) op1(e10, e10) = all_26_31 % 43.98/7.04 | (301) op1(e10, e11) = all_26_24 % 43.98/7.04 | (302) op1(e10, e12) = all_26_21 % 43.98/7.04 | (303) op1(e10, e13) = all_26_18 % 43.98/7.04 | (304) op1(e10, all_26_24) = all_26_14 % 43.98/7.04 | (305) op1(e10, all_26_21) = all_26_13 % 43.98/7.04 | (306) op1(e11, e10) = all_26_29 % 43.98/7.04 | (307) op1(e11, e11) = all_26_30 % 43.98/7.04 | (308) op1(e11, e12) = all_26_20 % 43.98/7.04 | (309) op1(e11, e13) = all_26_17 % 43.98/7.04 | (310) op1(e11, all_26_30) = all_26_10 % 43.98/7.04 | (311) op1(e12, e10) = all_26_27 % 43.98/7.04 | (312) op1(e12, e11) = all_26_23 % 43.98/7.04 | (313) op1(e12, e12) = all_26_28 % 43.98/7.04 | (314) op1(e12, e13) = all_26_16 % 43.98/7.04 | (315) op1(e12, all_26_23) = all_26_6 % 43.98/7.04 | (316) op1(e13, e10) = all_26_25 % 43.98/7.04 | (317) op1(e13, e11) = all_26_22 % 43.98/7.04 | (318) op1(e13, e12) = all_26_19 % 43.98/7.04 | (319) op1(e13, e13) = all_26_26 % 43.98/7.04 | (320) op1(e13, all_26_26) = all_26_0 % 43.98/7.04 | (321) op1(e13, all_26_25) = all_26_3 % 43.98/7.04 | (322) (all_26_16 = e12 & all_26_30 = e13 & ~ (all_26_17 = e11) & ~ % 43.98/7.04 | (all_26_28 = e13)) | (all_26_16 = e12 & all_26_31 = e13 & ~ % 43.98/7.04 | (all_26_18 = e10) & ~ (all_26_28 = e13)) | (all_26_17 = e11 & % 43.98/7.04 | all_26_28 = e13 & ~ (all_26_16 = e12) & ~ (all_26_30 = e13)) | % 43.98/7.04 | (all_26_17 = e11 & all_26_31 = e13 & ~ (all_26_18 = e10) & ~ % 43.98/7.04 | (all_26_30 = e13)) | (all_26_18 = e10 & all_26_28 = e13 & ~ % 43.98/7.04 | (all_26_16 = e12) & ~ (all_26_31 = e13)) | (all_26_18 = e10 & % 43.98/7.04 | all_26_30 = e13 & ~ (all_26_17 = e11) & ~ (all_26_31 = e13)) | % 43.98/7.04 | (all_26_19 = e13 & all_26_30 = e12 & ~ (all_26_20 = e11) & ~ % 43.98/7.04 | (all_26_26 = e12)) | (all_26_19 = e13 & all_26_31 = e12 & ~ % 43.98/7.04 | (all_26_21 = e10) & ~ (all_26_26 = e12)) | (all_26_20 = e11 & % 43.98/7.04 | all_26_26 = e12 & ~ (all_26_19 = e13) & ~ (all_26_30 = e12)) | % 43.98/7.04 | (all_26_20 = e11 & all_26_31 = e12 & ~ (all_26_21 = e10) & ~ % 43.98/7.04 | (all_26_30 = e12)) | (all_26_21 = e10 & all_26_26 = e12 & ~ % 43.98/7.04 | (all_26_19 = e13) & ~ (all_26_31 = e12)) | (all_26_21 = e10 & % 43.98/7.04 | all_26_30 = e12 & ~ (all_26_20 = e11) & ~ (all_26_31 = e12)) | % 43.98/7.04 | (all_26_22 = e13 & all_26_28 = e11 & ~ (all_26_23 = e12) & ~ % 43.98/7.04 | (all_26_26 = e11)) | (all_26_22 = e13 & all_26_31 = e11 & ~ % 43.98/7.04 | (all_26_24 = e10) & ~ (all_26_26 = e11)) | (all_26_23 = e12 & % 43.98/7.04 | all_26_26 = e11 & ~ (all_26_22 = e13) & ~ (all_26_28 = e11)) | % 43.98/7.04 | (all_26_23 = e12 & all_26_31 = e11 & ~ (all_26_24 = e10) & ~ % 43.98/7.04 | (all_26_28 = e11)) | (all_26_24 = e10 & all_26_26 = e11 & ~ % 43.98/7.04 | (all_26_22 = e13) & ~ (all_26_31 = e11)) | (all_26_24 = e10 & % 43.98/7.04 | all_26_28 = e11 & ~ (all_26_23 = e12) & ~ (all_26_31 = e11)) | % 43.98/7.04 | (all_26_25 = e13 & all_26_28 = e10 & ~ (all_26_26 = e10) & ~ % 43.98/7.04 | (all_26_27 = e12)) | (all_26_25 = e13 & all_26_30 = e10 & ~ % 43.98/7.04 | (all_26_26 = e10) & ~ (all_26_29 = e11)) | (all_26_26 = e10 & % 43.98/7.04 | all_26_27 = e12 & ~ (all_26_25 = e13) & ~ (all_26_28 = e10)) | % 43.98/7.04 | (all_26_26 = e10 & all_26_29 = e11 & ~ (all_26_25 = e13) & ~ % 43.98/7.04 | (all_26_30 = e10)) | (all_26_27 = e12 & all_26_30 = e10 & ~ % 43.98/7.04 | (all_26_28 = e10) & ~ (all_26_29 = e11)) | (all_26_28 = e10 & % 43.98/7.04 | all_26_29 = e11 & ~ (all_26_27 = e12) & ~ (all_26_30 = e10)) % 44.40/7.05 | (323) (all_26_0 = e13 & all_26_1 = e12 & all_26_2 = e11 & all_26_3 = e10 & % 44.40/7.05 | ( ~ (all_26_16 = e12) | all_26_28 = e13) & ( ~ (all_26_17 = e11) | % 44.40/7.05 | all_26_30 = e13) & ( ~ (all_26_18 = e10) | all_26_31 = e13)) | % 44.40/7.05 | (all_26_4 = e13 & all_26_5 = e12 & all_26_6 = e11 & all_26_7 = e10 & % 44.40/7.05 | ( ~ (all_26_19 = e13) | all_26_26 = e12) & ( ~ (all_26_20 = e11) | % 44.40/7.05 | all_26_30 = e12) & ( ~ (all_26_21 = e10) | all_26_31 = e12)) | % 44.40/7.05 | (all_26_8 = e13 & all_26_9 = e12 & all_26_10 = e11 & all_26_11 = e10 % 44.40/7.05 | & ( ~ (all_26_22 = e13) | all_26_26 = e11) & ( ~ (all_26_23 = e12) % 44.40/7.05 | | all_26_28 = e11) & ( ~ (all_26_24 = e10) | all_26_31 = e11)) | % 44.40/7.05 | (all_26_12 = e13 & all_26_13 = e12 & all_26_14 = e11 & all_26_15 = % 44.40/7.05 | e10 & ( ~ (all_26_25 = e13) | all_26_26 = e10) & ( ~ (all_26_27 = % 44.40/7.05 | e12) | all_26_28 = e10) & ( ~ (all_26_29 = e11) | all_26_30 = % 44.40/7.05 | e10)) % 44.40/7.05 | % 44.40/7.05 | DELTA: instantiating (24) with fresh symbols all_28_0, all_28_1, all_28_2, % 44.40/7.05 | all_28_3, all_28_4, all_28_5, all_28_6, all_28_7, all_28_8, all_28_9, % 44.40/7.05 | all_28_10, all_28_11, all_28_12, all_28_13, all_28_14, all_28_15, % 44.40/7.05 | all_28_16, all_28_17, all_28_18, all_28_19, all_28_20, all_28_21, % 44.40/7.05 | all_28_22, all_28_23, all_28_24, all_28_25, all_28_26, all_28_27, % 44.40/7.05 | all_28_28, all_28_29, all_28_30, all_28_31, all_28_32, all_28_33, % 44.40/7.05 | all_28_34, all_28_35, all_28_36, all_28_37, all_28_38, all_28_39, % 44.40/7.05 | all_28_40, all_28_41, all_28_42, all_28_43, all_28_44, all_28_45, % 44.40/7.05 | all_28_46, all_28_47, all_28_48, all_28_49, all_28_50, all_28_51, % 44.40/7.05 | all_28_52, all_28_53, all_28_54, all_28_55, all_28_56, all_28_57, % 44.40/7.05 | all_28_58, all_28_59, all_28_60, all_28_61, all_28_62, all_28_63, % 44.40/7.05 | all_28_64, all_28_65, all_28_66, all_28_67, all_28_68, all_28_69, % 44.40/7.05 | all_28_70, all_28_71, all_28_72, all_28_73, all_28_74, all_28_75, % 44.40/7.05 | all_28_76, all_28_77, all_28_78, all_28_79, all_28_80, all_28_81, % 44.40/7.05 | all_28_82, all_28_83, all_28_84, all_28_85, all_28_86, all_28_87, % 44.40/7.05 | all_28_88, all_28_89, all_28_90, all_28_91, all_28_92, all_28_93, % 44.40/7.05 | all_28_94, all_28_95, all_28_96, all_28_97, all_28_98, all_28_99, % 44.40/7.05 | all_28_100, all_28_101, all_28_102, all_28_103, all_28_104, all_28_105, % 44.40/7.05 | all_28_106, all_28_107, all_28_108, all_28_109, all_28_110, all_28_111, % 44.40/7.05 | all_28_112, all_28_113, all_28_114, all_28_115, all_28_116, all_28_117, % 44.40/7.05 | all_28_118, all_28_119, all_28_120, all_28_121, all_28_122, all_28_123, % 44.40/7.05 | all_28_124, all_28_125, all_28_126, all_28_127, all_28_128, all_28_129, % 44.40/7.05 | all_28_130, all_28_131, all_28_132, all_28_133, all_28_134, all_28_135, % 44.40/7.05 | all_28_136, all_28_137, all_28_138, all_28_139, all_28_140, all_28_141, % 44.40/7.05 | all_28_142, all_28_143, all_28_144, all_28_145, all_28_146, all_28_147, % 44.40/7.05 | all_28_148, all_28_149, all_28_150, all_28_151, all_28_152, all_28_153, % 44.40/7.05 | all_28_154, all_28_155, all_28_156, all_28_157, all_28_158, all_28_159 % 44.40/7.05 | gives: % 44.40/7.06 | (324) h4(all_28_110) = all_28_1 & h4(all_28_113) = all_28_3 & % 44.40/7.06 | h4(all_28_116) = all_28_5 & h4(all_28_119) = all_28_7 & % 44.40/7.06 | h4(all_28_122) = all_28_9 & h4(all_28_125) = all_28_11 & % 44.40/7.06 | h4(all_28_128) = all_28_13 & h4(all_28_131) = all_28_15 & % 44.40/7.06 | h4(all_28_134) = all_28_17 & h4(all_28_137) = all_28_19 & % 44.40/7.06 | h4(all_28_140) = all_28_21 & h4(all_28_143) = all_28_23 & % 44.40/7.06 | h4(all_28_147) = all_28_26 & h4(all_28_151) = all_28_29 & % 44.40/7.06 | h4(all_28_155) = all_28_32 & h4(all_28_159) = all_28_35 & h4(e13) = % 44.40/7.06 | all_28_25 & h4(e12) = all_28_28 & h4(e11) = all_28_31 & h4(e10) = % 44.40/7.06 | all_28_34 & h3(all_28_110) = all_28_37 & h3(all_28_113) = all_28_39 & % 44.40/7.06 | h3(all_28_116) = all_28_41 & h3(all_28_119) = all_28_43 & % 44.40/7.06 | h3(all_28_122) = all_28_45 & h3(all_28_125) = all_28_47 & % 44.40/7.06 | h3(all_28_128) = all_28_49 & h3(all_28_131) = all_28_51 & % 44.40/7.06 | h3(all_28_134) = all_28_53 & h3(all_28_137) = all_28_55 & % 44.40/7.06 | h3(all_28_140) = all_28_57 & h3(all_28_143) = all_28_59 & % 44.40/7.06 | h3(all_28_147) = all_28_62 & h3(all_28_151) = all_28_65 & % 44.40/7.06 | h3(all_28_155) = all_28_68 & h3(all_28_159) = all_28_71 & h3(e13) = % 44.40/7.06 | all_28_61 & h3(e12) = all_28_64 & h3(e11) = all_28_67 & h3(e10) = % 44.40/7.06 | all_28_70 & h2(all_28_110) = all_28_73 & h2(all_28_113) = all_28_75 & % 44.40/7.06 | h2(all_28_116) = all_28_77 & h2(all_28_119) = all_28_79 & % 44.40/7.06 | h2(all_28_122) = all_28_81 & h2(all_28_125) = all_28_83 & % 44.40/7.06 | h2(all_28_128) = all_28_85 & h2(all_28_131) = all_28_87 & % 44.40/7.06 | h2(all_28_134) = all_28_89 & h2(all_28_137) = all_28_91 & % 44.40/7.06 | h2(all_28_140) = all_28_93 & h2(all_28_143) = all_28_95 & % 44.40/7.06 | h2(all_28_147) = all_28_98 & h2(all_28_151) = all_28_101 & % 44.40/7.06 | h2(all_28_155) = all_28_104 & h2(all_28_159) = all_28_107 & h2(e13) = % 44.40/7.06 | all_28_97 & h2(e12) = all_28_100 & h2(e11) = all_28_103 & h2(e10) = % 44.40/7.06 | all_28_106 & h1(all_28_110) = all_28_109 & h1(all_28_113) = % 44.40/7.06 | all_28_112 & h1(all_28_116) = all_28_115 & h1(all_28_119) = % 44.40/7.06 | all_28_118 & h1(all_28_122) = all_28_121 & h1(all_28_125) = % 44.40/7.06 | all_28_124 & h1(all_28_128) = all_28_127 & h1(all_28_131) = % 44.40/7.06 | all_28_130 & h1(all_28_134) = all_28_133 & h1(all_28_137) = % 44.40/7.06 | all_28_136 & h1(all_28_140) = all_28_139 & h1(all_28_143) = % 44.40/7.06 | all_28_142 & h1(all_28_147) = all_28_146 & h1(all_28_151) = % 44.40/7.06 | all_28_150 & h1(all_28_155) = all_28_154 & h1(all_28_159) = % 44.40/7.06 | all_28_158 & h1(e13) = all_28_145 & h1(e12) = all_28_149 & h1(e11) = % 44.40/7.06 | all_28_153 & h1(e10) = all_28_157 & op2(all_28_25, all_28_25) = % 44.40/7.06 | all_28_0 & op2(all_28_25, all_28_28) = all_28_2 & op2(all_28_25, % 44.40/7.06 | all_28_31) = all_28_4 & op2(all_28_25, all_28_34) = all_28_6 & % 44.40/7.06 | op2(all_28_28, all_28_25) = all_28_8 & op2(all_28_28, all_28_28) = % 44.40/7.06 | all_28_10 & op2(all_28_28, all_28_31) = all_28_12 & op2(all_28_28, % 44.40/7.06 | all_28_34) = all_28_14 & op2(all_28_31, all_28_25) = all_28_16 & % 44.40/7.06 | op2(all_28_31, all_28_28) = all_28_18 & op2(all_28_31, all_28_31) = % 44.40/7.06 | all_28_20 & op2(all_28_31, all_28_34) = all_28_22 & op2(all_28_34, % 44.40/7.06 | all_28_25) = all_28_24 & op2(all_28_34, all_28_28) = all_28_27 & % 44.40/7.06 | op2(all_28_34, all_28_31) = all_28_30 & op2(all_28_34, all_28_34) = % 44.40/7.06 | all_28_33 & op2(all_28_61, all_28_61) = all_28_36 & op2(all_28_61, % 44.40/7.06 | all_28_64) = all_28_38 & op2(all_28_61, all_28_67) = all_28_40 & % 44.40/7.06 | op2(all_28_61, all_28_70) = all_28_42 & op2(all_28_64, all_28_61) = % 44.40/7.06 | all_28_44 & op2(all_28_64, all_28_64) = all_28_46 & op2(all_28_64, % 44.40/7.06 | all_28_67) = all_28_48 & op2(all_28_64, all_28_70) = all_28_50 & % 44.40/7.06 | op2(all_28_67, all_28_61) = all_28_52 & op2(all_28_67, all_28_64) = % 44.40/7.06 | all_28_54 & op2(all_28_67, all_28_67) = all_28_56 & op2(all_28_67, % 44.40/7.06 | all_28_70) = all_28_58 & op2(all_28_70, all_28_61) = all_28_60 & % 44.40/7.06 | op2(all_28_70, all_28_64) = all_28_63 & op2(all_28_70, all_28_67) = % 44.40/7.06 | all_28_66 & op2(all_28_70, all_28_70) = all_28_69 & op2(all_28_97, % 44.40/7.06 | all_28_97) = all_28_72 & op2(all_28_97, all_28_100) = all_28_74 & % 44.40/7.06 | op2(all_28_97, all_28_103) = all_28_76 & op2(all_28_97, all_28_106) = % 44.40/7.06 | all_28_78 & op2(all_28_100, all_28_97) = all_28_80 & op2(all_28_100, % 44.40/7.06 | all_28_100) = all_28_82 & op2(all_28_100, all_28_103) = all_28_84 & % 44.40/7.06 | op2(all_28_100, all_28_106) = all_28_86 & op2(all_28_103, all_28_97) % 44.40/7.06 | = all_28_88 & op2(all_28_103, all_28_100) = all_28_90 & % 44.40/7.06 | op2(all_28_103, all_28_103) = all_28_92 & op2(all_28_103, all_28_106) % 44.40/7.06 | = all_28_94 & op2(all_28_106, all_28_97) = all_28_96 & % 44.40/7.06 | op2(all_28_106, all_28_100) = all_28_99 & op2(all_28_106, all_28_103) % 44.40/7.06 | = all_28_102 & op2(all_28_106, all_28_106) = all_28_105 & % 44.40/7.06 | op2(all_28_145, all_28_145) = all_28_108 & op2(all_28_145, % 44.40/7.06 | all_28_149) = all_28_111 & op2(all_28_145, all_28_153) = all_28_114 % 44.40/7.06 | & op2(all_28_145, all_28_157) = all_28_117 & op2(all_28_149, % 44.40/7.06 | all_28_145) = all_28_120 & op2(all_28_149, all_28_149) = all_28_123 % 44.40/7.06 | & op2(all_28_149, all_28_153) = all_28_126 & op2(all_28_149, % 44.40/7.06 | all_28_157) = all_28_129 & op2(all_28_153, all_28_145) = all_28_132 % 44.40/7.06 | & op2(all_28_153, all_28_149) = all_28_135 & op2(all_28_153, % 44.40/7.06 | all_28_153) = all_28_138 & op2(all_28_153, all_28_157) = all_28_141 % 44.40/7.06 | & op2(all_28_157, all_28_145) = all_28_144 & op2(all_28_157, % 44.40/7.06 | all_28_149) = all_28_148 & op2(all_28_157, all_28_153) = all_28_152 % 44.40/7.06 | & op2(all_28_157, all_28_157) = all_28_156 & op1(e13, e13) = % 44.40/7.06 | all_28_110 & op1(e13, e12) = all_28_113 & op1(e13, e11) = all_28_116 % 44.40/7.06 | & op1(e13, e10) = all_28_119 & op1(e12, e13) = all_28_122 & op1(e12, % 44.40/7.06 | e12) = all_28_125 & op1(e12, e11) = all_28_128 & op1(e12, e10) = % 44.40/7.06 | all_28_131 & op1(e11, e13) = all_28_134 & op1(e11, e12) = all_28_137 % 44.40/7.06 | & op1(e11, e11) = all_28_140 & op1(e11, e10) = all_28_143 & op1(e10, % 44.40/7.06 | e13) = all_28_147 & op1(e10, e12) = all_28_151 & op1(e10, e11) = % 44.40/7.06 | all_28_155 & op1(e10, e10) = all_28_159 & $i(all_28_0) & $i(all_28_1) % 44.40/7.06 | & $i(all_28_2) & $i(all_28_3) & $i(all_28_4) & $i(all_28_5) & % 44.40/7.06 | $i(all_28_6) & $i(all_28_7) & $i(all_28_8) & $i(all_28_9) & % 44.40/7.06 | $i(all_28_10) & $i(all_28_11) & $i(all_28_12) & $i(all_28_13) & % 44.40/7.06 | $i(all_28_14) & $i(all_28_15) & $i(all_28_16) & $i(all_28_17) & % 44.40/7.06 | $i(all_28_18) & $i(all_28_19) & $i(all_28_20) & $i(all_28_21) & % 44.40/7.06 | $i(all_28_22) & $i(all_28_23) & $i(all_28_24) & $i(all_28_25) & % 44.40/7.06 | $i(all_28_26) & $i(all_28_27) & $i(all_28_28) & $i(all_28_29) & % 44.40/7.06 | $i(all_28_30) & $i(all_28_31) & $i(all_28_32) & $i(all_28_33) & % 44.40/7.06 | $i(all_28_34) & $i(all_28_35) & $i(all_28_36) & $i(all_28_37) & % 44.40/7.06 | $i(all_28_38) & $i(all_28_39) & $i(all_28_40) & $i(all_28_41) & % 44.40/7.06 | $i(all_28_42) & $i(all_28_43) & $i(all_28_44) & $i(all_28_45) & % 44.40/7.06 | $i(all_28_46) & $i(all_28_47) & $i(all_28_48) & $i(all_28_49) & % 44.40/7.06 | $i(all_28_50) & $i(all_28_51) & $i(all_28_52) & $i(all_28_53) & % 44.40/7.06 | $i(all_28_54) & $i(all_28_55) & $i(all_28_56) & $i(all_28_57) & % 44.40/7.06 | $i(all_28_58) & $i(all_28_59) & $i(all_28_60) & $i(all_28_61) & % 44.40/7.06 | $i(all_28_62) & $i(all_28_63) & $i(all_28_64) & $i(all_28_65) & % 44.40/7.06 | $i(all_28_66) & $i(all_28_67) & $i(all_28_68) & $i(all_28_69) & % 44.40/7.06 | $i(all_28_70) & $i(all_28_71) & $i(all_28_72) & $i(all_28_73) & % 44.40/7.06 | $i(all_28_74) & $i(all_28_75) & $i(all_28_76) & $i(all_28_77) & % 44.40/7.06 | $i(all_28_78) & $i(all_28_79) & $i(all_28_80) & $i(all_28_81) & % 44.40/7.06 | $i(all_28_82) & $i(all_28_83) & $i(all_28_84) & $i(all_28_85) & % 44.40/7.06 | $i(all_28_86) & $i(all_28_87) & $i(all_28_88) & $i(all_28_89) & % 44.40/7.06 | $i(all_28_90) & $i(all_28_91) & $i(all_28_92) & $i(all_28_93) & % 44.40/7.06 | $i(all_28_94) & $i(all_28_95) & $i(all_28_96) & $i(all_28_97) & % 44.40/7.06 | $i(all_28_98) & $i(all_28_99) & $i(all_28_100) & $i(all_28_101) & % 44.40/7.06 | $i(all_28_102) & $i(all_28_103) & $i(all_28_104) & $i(all_28_105) & % 44.40/7.06 | $i(all_28_106) & $i(all_28_107) & $i(all_28_108) & $i(all_28_109) & % 44.40/7.06 | $i(all_28_110) & $i(all_28_111) & $i(all_28_112) & $i(all_28_113) & % 44.40/7.06 | $i(all_28_114) & $i(all_28_115) & $i(all_28_116) & $i(all_28_117) & % 44.40/7.06 | $i(all_28_118) & $i(all_28_119) & $i(all_28_120) & $i(all_28_121) & % 44.40/7.06 | $i(all_28_122) & $i(all_28_123) & $i(all_28_124) & $i(all_28_125) & % 44.40/7.06 | $i(all_28_126) & $i(all_28_127) & $i(all_28_128) & $i(all_28_129) & % 44.40/7.06 | $i(all_28_130) & $i(all_28_131) & $i(all_28_132) & $i(all_28_133) & % 44.40/7.06 | $i(all_28_134) & $i(all_28_135) & $i(all_28_136) & $i(all_28_137) & % 44.40/7.06 | $i(all_28_138) & $i(all_28_139) & $i(all_28_140) & $i(all_28_141) & % 44.40/7.06 | $i(all_28_142) & $i(all_28_143) & $i(all_28_144) & $i(all_28_145) & % 44.40/7.06 | $i(all_28_146) & $i(all_28_147) & $i(all_28_148) & $i(all_28_149) & % 44.40/7.06 | $i(all_28_150) & $i(all_28_151) & $i(all_28_152) & $i(all_28_153) & % 44.40/7.06 | $i(all_28_154) & $i(all_28_155) & $i(all_28_156) & $i(all_28_157) & % 44.40/7.06 | $i(all_28_158) & $i(all_28_159) & ( ~ (all_28_0 = all_28_1) | ~ % 44.40/7.06 | (all_28_2 = all_28_3) | ~ (all_28_4 = all_28_5) | ~ (all_28_6 = % 44.40/7.06 | all_28_7) | ~ (all_28_8 = all_28_9) | ~ (all_28_10 = all_28_11) % 44.40/7.06 | | ~ (all_28_12 = all_28_13) | ~ (all_28_14 = all_28_15) | ~ % 44.40/7.06 | (all_28_16 = all_28_17) | ~ (all_28_18 = all_28_19) | ~ % 44.40/7.06 | (all_28_20 = all_28_21) | ~ (all_28_22 = all_28_23) | ~ % 44.40/7.06 | (all_28_24 = all_28_26) | ~ (all_28_27 = all_28_29) | ~ % 44.40/7.06 | (all_28_30 = all_28_32) | ~ (all_28_33 = all_28_35) | ( ~ % 44.40/7.06 | (all_28_25 = e23) & ~ (all_28_28 = e23) & ~ (all_28_31 = e23) & % 44.40/7.06 | ~ (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & ~ (all_28_28 = % 44.40/7.06 | e22) & ~ (all_28_31 = e22) & ~ (all_28_34 = e22)) | ( ~ % 44.40/7.06 | (all_28_25 = e21) & ~ (all_28_28 = e21) & ~ (all_28_31 = e21) & % 44.40/7.06 | ~ (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~ (all_28_28 = % 44.40/7.06 | e20) & ~ (all_28_31 = e20) & ~ (all_28_34 = e20))) & ( ~ % 44.40/7.06 | (all_28_36 = all_28_37) | ~ (all_28_38 = all_28_39) | ~ % 44.40/7.06 | (all_28_40 = all_28_41) | ~ (all_28_42 = all_28_43) | ~ % 44.40/7.06 | (all_28_44 = all_28_45) | ~ (all_28_46 = all_28_47) | ~ % 44.40/7.06 | (all_28_48 = all_28_49) | ~ (all_28_50 = all_28_51) | ~ % 44.40/7.06 | (all_28_52 = all_28_53) | ~ (all_28_54 = all_28_55) | ~ % 44.40/7.06 | (all_28_56 = all_28_57) | ~ (all_28_58 = all_28_59) | ~ % 44.40/7.06 | (all_28_60 = all_28_62) | ~ (all_28_63 = all_28_65) | ~ % 44.40/7.06 | (all_28_66 = all_28_68) | ~ (all_28_69 = all_28_71) | ( ~ % 44.40/7.06 | (all_28_61 = e23) & ~ (all_28_64 = e23) & ~ (all_28_67 = e23) & % 44.40/7.06 | ~ (all_28_70 = e23)) | ( ~ (all_28_61 = e22) & ~ (all_28_64 = % 44.40/7.06 | e22) & ~ (all_28_67 = e22) & ~ (all_28_70 = e22)) | ( ~ % 44.40/7.06 | (all_28_61 = e21) & ~ (all_28_64 = e21) & ~ (all_28_67 = e21) & % 44.40/7.06 | ~ (all_28_70 = e21)) | ( ~ (all_28_61 = e20) & ~ (all_28_64 = % 44.40/7.06 | e20) & ~ (all_28_67 = e20) & ~ (all_28_70 = e20))) & ( ~ % 44.40/7.06 | (all_28_72 = all_28_73) | ~ (all_28_74 = all_28_75) | ~ % 44.40/7.06 | (all_28_76 = all_28_77) | ~ (all_28_78 = all_28_79) | ~ % 44.40/7.06 | (all_28_80 = all_28_81) | ~ (all_28_82 = all_28_83) | ~ % 44.40/7.06 | (all_28_84 = all_28_85) | ~ (all_28_86 = all_28_87) | ~ % 44.40/7.06 | (all_28_88 = all_28_89) | ~ (all_28_90 = all_28_91) | ~ % 44.40/7.06 | (all_28_92 = all_28_93) | ~ (all_28_94 = all_28_95) | ~ % 44.40/7.06 | (all_28_96 = all_28_98) | ~ (all_28_99 = all_28_101) | ~ % 44.40/7.06 | (all_28_102 = all_28_104) | ~ (all_28_105 = all_28_107) | ( ~ % 44.40/7.06 | (all_28_97 = e23) & ~ (all_28_100 = e23) & ~ (all_28_103 = e23) % 44.40/7.06 | & ~ (all_28_106 = e23)) | ( ~ (all_28_97 = e22) & ~ (all_28_100 % 44.40/7.06 | = e22) & ~ (all_28_103 = e22) & ~ (all_28_106 = e22)) | ( ~ % 44.40/7.06 | (all_28_97 = e21) & ~ (all_28_100 = e21) & ~ (all_28_103 = e21) % 44.40/7.06 | & ~ (all_28_106 = e21)) | ( ~ (all_28_97 = e20) & ~ (all_28_100 % 44.40/7.06 | = e20) & ~ (all_28_103 = e20) & ~ (all_28_106 = e20))) & ( ~ % 44.40/7.06 | (all_28_108 = all_28_109) | ~ (all_28_111 = all_28_112) | ~ % 44.40/7.06 | (all_28_114 = all_28_115) | ~ (all_28_117 = all_28_118) | ~ % 44.40/7.06 | (all_28_120 = all_28_121) | ~ (all_28_123 = all_28_124) | ~ % 44.40/7.06 | (all_28_126 = all_28_127) | ~ (all_28_129 = all_28_130) | ~ % 44.40/7.06 | (all_28_132 = all_28_133) | ~ (all_28_135 = all_28_136) | ~ % 44.40/7.06 | (all_28_138 = all_28_139) | ~ (all_28_141 = all_28_142) | ~ % 44.40/7.06 | (all_28_144 = all_28_146) | ~ (all_28_148 = all_28_150) | ~ % 44.40/7.06 | (all_28_152 = all_28_154) | ~ (all_28_156 = all_28_158) | ( ~ % 44.40/7.06 | (all_28_145 = e23) & ~ (all_28_149 = e23) & ~ (all_28_153 = % 44.40/7.06 | e23) & ~ (all_28_157 = e23)) | ( ~ (all_28_145 = e22) & ~ % 44.40/7.06 | (all_28_149 = e22) & ~ (all_28_153 = e22) & ~ (all_28_157 = % 44.40/7.06 | e22)) | ( ~ (all_28_145 = e21) & ~ (all_28_149 = e21) & ~ % 44.40/7.06 | (all_28_153 = e21) & ~ (all_28_157 = e21)) | ( ~ (all_28_145 = % 44.40/7.06 | e20) & ~ (all_28_149 = e20) & ~ (all_28_153 = e20) & ~ % 44.40/7.06 | (all_28_157 = e20))) % 44.40/7.06 | % 44.40/7.06 | ALPHA: (324) implies: % 44.40/7.06 | (325) op1(e10, e10) = all_28_159 % 44.40/7.06 | (326) op1(e10, e11) = all_28_155 % 44.40/7.06 | (327) op1(e10, e12) = all_28_151 % 44.40/7.06 | (328) op1(e10, e13) = all_28_147 % 44.40/7.06 | (329) op1(e11, e10) = all_28_143 % 44.40/7.06 | (330) op1(e11, e11) = all_28_140 % 44.40/7.06 | (331) op1(e11, e12) = all_28_137 % 44.40/7.06 | (332) op1(e11, e13) = all_28_134 % 44.40/7.06 | (333) op1(e12, e10) = all_28_131 % 44.40/7.06 | (334) op1(e12, e11) = all_28_128 % 44.40/7.06 | (335) op1(e12, e12) = all_28_125 % 44.40/7.06 | (336) op1(e12, e13) = all_28_122 % 44.40/7.06 | (337) op1(e13, e10) = all_28_119 % 44.40/7.06 | (338) op1(e13, e11) = all_28_116 % 44.40/7.06 | (339) op1(e13, e12) = all_28_113 % 44.40/7.06 | (340) op1(e13, e13) = all_28_110 % 44.40/7.06 | (341) op2(all_28_153, all_28_153) = all_28_138 % 44.40/7.06 | (342) op2(all_28_106, all_28_106) = all_28_105 % 44.40/7.06 | (343) op2(all_28_106, all_28_103) = all_28_102 % 44.40/7.06 | (344) op2(all_28_106, all_28_100) = all_28_99 % 44.40/7.06 | (345) op2(all_28_106, all_28_97) = all_28_96 % 44.40/7.06 | (346) op2(all_28_103, all_28_106) = all_28_94 % 44.40/7.06 | (347) op2(all_28_103, all_28_103) = all_28_92 % 44.40/7.06 | (348) op2(all_28_103, all_28_100) = all_28_90 % 44.40/7.06 | (349) op2(all_28_103, all_28_97) = all_28_88 % 44.40/7.06 | (350) op2(all_28_100, all_28_106) = all_28_86 % 44.40/7.06 | (351) op2(all_28_100, all_28_103) = all_28_84 % 44.40/7.06 | (352) op2(all_28_100, all_28_100) = all_28_82 % 44.40/7.06 | (353) op2(all_28_100, all_28_97) = all_28_80 % 44.40/7.06 | (354) op2(all_28_97, all_28_106) = all_28_78 % 44.40/7.06 | (355) op2(all_28_97, all_28_103) = all_28_76 % 44.40/7.06 | (356) op2(all_28_97, all_28_100) = all_28_74 % 44.40/7.06 | (357) op2(all_28_97, all_28_97) = all_28_72 % 44.40/7.06 | (358) op2(all_28_67, all_28_67) = all_28_56 % 44.40/7.06 | (359) op2(all_28_31, all_28_31) = all_28_20 % 44.40/7.06 | (360) op2(all_28_31, all_28_28) = all_28_18 % 44.40/7.06 | (361) op2(all_28_28, all_28_31) = all_28_12 % 44.40/7.06 | (362) op2(all_28_28, all_28_28) = all_28_10 % 44.40/7.06 | (363) h1(e11) = all_28_153 % 44.40/7.06 | (364) h2(e10) = all_28_106 % 44.40/7.06 | (365) h2(e11) = all_28_103 % 44.40/7.06 | (366) h2(e12) = all_28_100 % 44.40/7.06 | (367) h2(e13) = all_28_97 % 44.40/7.06 | (368) h2(all_28_159) = all_28_107 % 44.40/7.06 | (369) h2(all_28_155) = all_28_104 % 44.40/7.06 | (370) h2(all_28_151) = all_28_101 % 44.40/7.06 | (371) h2(all_28_147) = all_28_98 % 44.40/7.06 | (372) h2(all_28_143) = all_28_95 % 44.40/7.06 | (373) h2(all_28_140) = all_28_93 % 44.40/7.06 | (374) h2(all_28_137) = all_28_91 % 44.40/7.06 | (375) h2(all_28_134) = all_28_89 % 44.40/7.06 | (376) h2(all_28_131) = all_28_87 % 44.40/7.06 | (377) h2(all_28_128) = all_28_85 % 44.40/7.06 | (378) h2(all_28_125) = all_28_83 % 44.40/7.06 | (379) h2(all_28_122) = all_28_81 % 44.40/7.06 | (380) h2(all_28_119) = all_28_79 % 44.40/7.06 | (381) h2(all_28_116) = all_28_77 % 44.40/7.06 | (382) h2(all_28_113) = all_28_75 % 44.40/7.06 | (383) h2(all_28_110) = all_28_73 % 44.40/7.06 | (384) h3(e11) = all_28_67 % 44.40/7.06 | (385) h4(e11) = all_28_31 % 44.40/7.06 | (386) h4(e12) = all_28_28 % 44.40/7.06 | (387) ~ (all_28_72 = all_28_73) | ~ (all_28_74 = all_28_75) | ~ % 44.40/7.06 | (all_28_76 = all_28_77) | ~ (all_28_78 = all_28_79) | ~ (all_28_80 % 44.40/7.06 | = all_28_81) | ~ (all_28_82 = all_28_83) | ~ (all_28_84 = % 44.40/7.06 | all_28_85) | ~ (all_28_86 = all_28_87) | ~ (all_28_88 = % 44.40/7.06 | all_28_89) | ~ (all_28_90 = all_28_91) | ~ (all_28_92 = % 44.40/7.06 | all_28_93) | ~ (all_28_94 = all_28_95) | ~ (all_28_96 = % 44.40/7.06 | all_28_98) | ~ (all_28_99 = all_28_101) | ~ (all_28_102 = % 44.40/7.06 | all_28_104) | ~ (all_28_105 = all_28_107) | ( ~ (all_28_97 = e23) % 44.40/7.06 | & ~ (all_28_100 = e23) & ~ (all_28_103 = e23) & ~ (all_28_106 = % 44.40/7.06 | e23)) | ( ~ (all_28_97 = e22) & ~ (all_28_100 = e22) & ~ % 44.40/7.06 | (all_28_103 = e22) & ~ (all_28_106 = e22)) | ( ~ (all_28_97 = e21) % 44.40/7.06 | & ~ (all_28_100 = e21) & ~ (all_28_103 = e21) & ~ (all_28_106 = % 44.40/7.06 | e21)) | ( ~ (all_28_97 = e20) & ~ (all_28_100 = e20) & ~ % 44.40/7.06 | (all_28_103 = e20) & ~ (all_28_106 = e20)) % 44.40/7.06 | % 44.40/7.07 | GROUND_INST: instantiating (29) with all_16_15, all_22_15, e10, e10, % 44.40/7.07 | simplifying with (165), (247) gives: % 44.40/7.07 | (388) all_22_15 = all_16_15 % 44.40/7.07 | % 44.40/7.07 | GROUND_INST: instantiating (29) with all_22_15, all_26_31, e10, e10, % 44.40/7.07 | simplifying with (247), (300) gives: % 44.40/7.07 | (389) all_26_31 = all_22_15 % 44.40/7.07 | % 44.40/7.07 | GROUND_INST: instantiating (29) with all_26_31, all_28_159, e10, e10, % 44.40/7.07 | simplifying with (300), (325) gives: % 44.40/7.07 | (390) all_28_159 = all_26_31 % 44.40/7.07 | % 44.40/7.07 | GROUND_INST: instantiating (29) with all_12_15, all_28_159, e10, e10, % 44.40/7.07 | simplifying with (92), (325) gives: % 44.40/7.07 | (391) all_28_159 = all_12_15 % 44.40/7.07 | % 44.40/7.07 | GROUND_INST: instantiating (29) with all_12_11, all_22_14, e11, e10, % 44.40/7.07 | simplifying with (93), (248) gives: % 44.40/7.07 | (392) all_22_14 = all_12_11 % 44.40/7.07 | % 44.40/7.07 | GROUND_INST: instantiating (29) with all_26_24, all_28_155, e11, e10, % 44.40/7.07 | simplifying with (301), (326) gives: % 44.40/7.07 | (393) all_28_155 = all_26_24 % 44.40/7.07 | % 44.40/7.07 | GROUND_INST: instantiating (29) with all_22_14, all_28_155, e11, e10, % 44.40/7.07 | simplifying with (248), (326) gives: % 44.40/7.07 | (394) all_28_155 = all_22_14 % 44.40/7.07 | % 44.40/7.07 | GROUND_INST: instantiating (29) with all_16_14, all_28_155, e11, e10, % 44.40/7.07 | simplifying with (166), (326) gives: % 44.40/7.07 | (395) all_28_155 = all_16_14 % 44.40/7.07 | % 44.40/7.07 | GROUND_INST: instantiating (29) with all_16_13, all_26_21, e12, e10, % 44.40/7.07 | simplifying with (167), (302) gives: % 44.40/7.07 | (396) all_26_21 = all_16_13 % 44.40/7.07 | % 44.40/7.07 | GROUND_INST: instantiating (29) with all_12_7, all_26_21, e12, e10, % 44.40/7.07 | simplifying with (94), (302) gives: % 44.40/7.07 | (397) all_26_21 = all_12_7 % 44.40/7.07 | % 44.40/7.07 | GROUND_INST: instantiating (29) with all_26_21, all_28_151, e12, e10, % 44.40/7.07 | simplifying with (302), (327) gives: % 44.40/7.07 | (398) all_28_151 = all_26_21 % 44.40/7.07 | % 44.40/7.07 | GROUND_INST: instantiating (29) with all_22_13, all_28_151, e12, e10, % 44.40/7.07 | simplifying with (249), (327) gives: % 44.40/7.07 | (399) all_28_151 = all_22_13 % 44.40/7.07 | % 44.40/7.07 | GROUND_INST: instantiating (29) with all_16_12, all_26_18, e13, e10, % 44.40/7.07 | simplifying with (168), (303) gives: % 44.40/7.07 | (400) all_26_18 = all_16_12 % 44.40/7.07 | % 44.40/7.07 | GROUND_INST: instantiating (29) with all_12_3, all_26_18, e13, e10, % 44.40/7.07 | simplifying with (95), (303) gives: % 44.40/7.07 | (401) all_26_18 = all_12_3 % 44.40/7.07 | % 44.40/7.07 | GROUND_INST: instantiating (29) with all_26_18, all_28_147, e13, e10, % 44.40/7.07 | simplifying with (303), (328) gives: % 44.40/7.07 | (402) all_28_147 = all_26_18 % 44.40/7.07 | % 44.40/7.07 | GROUND_INST: instantiating (29) with all_22_12, all_28_147, e13, e10, % 44.40/7.07 | simplifying with (250), (328) gives: % 44.40/7.07 | (403) all_28_147 = all_22_12 % 44.40/7.07 | % 44.40/7.07 | GROUND_INST: instantiating (29) with all_16_11, all_26_29, e10, e11, % 44.40/7.07 | simplifying with (169), (306) gives: % 44.40/7.07 | (404) all_26_29 = all_16_11 % 44.40/7.07 | % 44.40/7.07 | GROUND_INST: instantiating (29) with all_12_14, all_26_29, e10, e11, % 44.40/7.07 | simplifying with (96), (306) gives: % 44.40/7.07 | (405) all_26_29 = all_12_14 % 44.40/7.07 | % 44.40/7.07 | GROUND_INST: instantiating (29) with all_26_29, all_28_143, e10, e11, % 44.40/7.07 | simplifying with (306), (329) gives: % 44.40/7.07 | (406) all_28_143 = all_26_29 % 44.40/7.07 | % 44.40/7.07 | GROUND_INST: instantiating (29) with all_22_11, all_28_143, e10, e11, % 44.40/7.07 | simplifying with (251), (329) gives: % 44.40/7.07 | (407) all_28_143 = all_22_11 % 44.40/7.07 | % 44.40/7.07 | GROUND_INST: instantiating (29) with all_12_10, all_22_8, e11, e11, % 44.40/7.07 | simplifying with (97), (252) gives: % 44.40/7.07 | (408) all_22_8 = all_12_10 % 44.40/7.07 | % 44.40/7.07 | GROUND_INST: instantiating (29) with e12, all_22_8, e11, e11, simplifying with % 44.40/7.07 | (14), (252) gives: % 44.40/7.07 | (409) all_22_8 = e12 % 44.40/7.07 | % 44.40/7.07 | GROUND_INST: instantiating (29) with all_22_8, all_26_30, e11, e11, % 44.40/7.07 | simplifying with (252), (307) gives: % 44.40/7.07 | (410) all_26_30 = all_22_8 % 44.40/7.07 | % 44.40/7.07 | GROUND_INST: instantiating (29) with all_26_30, all_28_140, e11, e11, % 44.40/7.07 | simplifying with (307), (330) gives: % 44.40/7.07 | (411) all_28_140 = all_26_30 % 44.40/7.07 | % 44.40/7.07 | GROUND_INST: instantiating (29) with all_16_10, all_28_140, e11, e11, % 44.40/7.07 | simplifying with (170), (330) gives: % 44.40/7.07 | (412) all_28_140 = all_16_10 % 44.40/7.07 | % 44.40/7.07 | GROUND_INST: instantiating (29) with all_26_20, all_28_137, e12, e11, % 44.40/7.07 | simplifying with (308), (331) gives: % 44.40/7.07 | (413) all_28_137 = all_26_20 % 44.40/7.07 | % 44.40/7.07 | GROUND_INST: instantiating (29) with all_22_7, all_28_137, e12, e11, % 44.40/7.07 | simplifying with (253), (331) gives: % 44.40/7.07 | (414) all_28_137 = all_22_7 % 44.40/7.07 | % 44.40/7.07 | GROUND_INST: instantiating (29) with all_16_9, all_28_137, e12, e11, % 44.40/7.07 | simplifying with (171), (331) gives: % 44.40/7.07 | (415) all_28_137 = all_16_9 % 44.40/7.07 | % 44.40/7.07 | GROUND_INST: instantiating (29) with all_12_6, all_28_137, e12, e11, % 44.40/7.07 | simplifying with (98), (331) gives: % 44.40/7.07 | (416) all_28_137 = all_12_6 % 44.40/7.07 | % 44.40/7.07 | GROUND_INST: instantiating (29) with all_26_17, all_28_134, e13, e11, % 44.40/7.07 | simplifying with (309), (332) gives: % 44.40/7.07 | (417) all_28_134 = all_26_17 % 44.40/7.07 | % 44.40/7.07 | GROUND_INST: instantiating (29) with all_22_6, all_28_134, e13, e11, % 44.40/7.07 | simplifying with (254), (332) gives: % 44.40/7.07 | (418) all_28_134 = all_22_6 % 44.40/7.07 | % 44.40/7.07 | GROUND_INST: instantiating (29) with all_16_8, all_28_134, e13, e11, % 44.40/7.07 | simplifying with (172), (332) gives: % 44.40/7.07 | (419) all_28_134 = all_16_8 % 44.40/7.07 | % 44.40/7.07 | GROUND_INST: instantiating (29) with all_12_2, all_28_134, e13, e11, % 44.40/7.07 | simplifying with (99), (332) gives: % 44.40/7.07 | (420) all_28_134 = all_12_2 % 44.40/7.07 | % 44.40/7.07 | GROUND_INST: instantiating (29) with all_12_13, all_22_10, e10, e12, % 44.40/7.07 | simplifying with (100), (255) gives: % 44.40/7.07 | (421) all_22_10 = all_12_13 % 44.40/7.07 | % 44.40/7.07 | GROUND_INST: instantiating (29) with all_22_10, all_26_27, e10, e12, % 44.40/7.07 | simplifying with (255), (311) gives: % 44.40/7.07 | (422) all_26_27 = all_22_10 % 44.40/7.07 | % 44.40/7.07 | GROUND_INST: instantiating (29) with all_26_27, all_28_131, e10, e12, % 44.40/7.07 | simplifying with (311), (333) gives: % 44.40/7.07 | (423) all_28_131 = all_26_27 % 44.40/7.07 | % 44.40/7.07 | GROUND_INST: instantiating (29) with all_16_7, all_28_131, e10, e12, % 44.40/7.07 | simplifying with (173), (333) gives: % 44.40/7.07 | (424) all_28_131 = all_16_7 % 44.40/7.07 | % 44.40/7.07 | GROUND_INST: instantiating (29) with all_12_9, all_22_5, e11, e12, simplifying % 44.40/7.07 | with (101), (256) gives: % 44.40/7.07 | (425) all_22_5 = all_12_9 % 44.40/7.07 | % 44.40/7.07 | GROUND_INST: instantiating (29) with e13, all_22_5, e11, e12, simplifying with % 44.40/7.07 | (15), (256) gives: % 44.40/7.07 | (426) all_22_5 = e13 % 44.40/7.07 | % 44.40/7.07 | GROUND_INST: instantiating (29) with all_22_5, all_26_23, e11, e12, % 44.40/7.07 | simplifying with (256), (312) gives: % 44.40/7.07 | (427) all_26_23 = all_22_5 % 44.40/7.07 | % 44.40/7.07 | GROUND_INST: instantiating (29) with all_26_23, all_28_128, e11, e12, % 44.40/7.07 | simplifying with (312), (334) gives: % 44.40/7.07 | (428) all_28_128 = all_26_23 % 44.40/7.07 | % 44.40/7.07 | GROUND_INST: instantiating (29) with all_16_6, all_28_128, e11, e12, % 44.40/7.07 | simplifying with (174), (334) gives: % 44.40/7.07 | (429) all_28_128 = all_16_6 % 44.40/7.07 | % 44.40/7.07 | GROUND_INST: instantiating (29) with all_22_3, all_26_28, e12, e12, % 44.40/7.07 | simplifying with (257), (313) gives: % 44.40/7.07 | (430) all_26_28 = all_22_3 % 44.40/7.07 | % 44.40/7.07 | GROUND_INST: instantiating (29) with all_16_5, all_26_28, e12, e12, % 44.40/7.07 | simplifying with (175), (313) gives: % 44.40/7.07 | (431) all_26_28 = all_16_5 % 44.40/7.07 | % 44.40/7.07 | GROUND_INST: instantiating (29) with all_22_3, all_28_125, e12, e12, % 44.40/7.07 | simplifying with (257), (335) gives: % 44.40/7.07 | (432) all_28_125 = all_22_3 % 44.40/7.07 | % 44.40/7.07 | GROUND_INST: instantiating (29) with all_12_5, all_28_125, e12, e12, % 44.40/7.07 | simplifying with (102), (335) gives: % 44.40/7.07 | (433) all_28_125 = all_12_5 % 44.40/7.07 | % 44.40/7.07 | GROUND_INST: instantiating (29) with all_16_4, all_26_16, e13, e12, % 44.40/7.07 | simplifying with (176), (314) gives: % 44.40/7.07 | (434) all_26_16 = all_16_4 % 44.40/7.07 | % 44.40/7.07 | GROUND_INST: instantiating (29) with all_12_1, all_26_16, e13, e12, % 44.40/7.07 | simplifying with (103), (314) gives: % 44.40/7.07 | (435) all_26_16 = all_12_1 % 44.40/7.07 | % 44.40/7.07 | GROUND_INST: instantiating (29) with all_26_16, all_28_122, e13, e12, % 44.40/7.07 | simplifying with (314), (336) gives: % 44.40/7.07 | (436) all_28_122 = all_26_16 % 44.40/7.07 | % 44.40/7.07 | GROUND_INST: instantiating (29) with all_22_2, all_28_122, e13, e12, % 44.40/7.07 | simplifying with (258), (336) gives: % 44.40/7.07 | (437) all_28_122 = all_22_2 % 44.40/7.07 | % 44.40/7.07 | GROUND_INST: instantiating (29) with all_22_9, all_26_25, e10, e13, % 44.40/7.07 | simplifying with (259), (316) gives: % 44.40/7.08 | (438) all_26_25 = all_22_9 % 44.40/7.08 | % 44.40/7.08 | GROUND_INST: instantiating (29) with all_16_3, all_26_25, e10, e13, % 44.40/7.08 | simplifying with (177), (316) gives: % 44.40/7.08 | (439) all_26_25 = all_16_3 % 44.40/7.08 | % 44.40/7.08 | GROUND_INST: instantiating (29) with all_26_25, all_28_119, e10, e13, % 44.40/7.08 | simplifying with (316), (337) gives: % 44.40/7.08 | (440) all_28_119 = all_26_25 % 44.40/7.08 | % 44.40/7.08 | GROUND_INST: instantiating (29) with all_12_12, all_28_119, e10, e13, % 44.40/7.08 | simplifying with (104), (337) gives: % 44.40/7.08 | (441) all_28_119 = all_12_12 % 44.40/7.08 | % 44.40/7.08 | GROUND_INST: instantiating (29) with all_16_2, all_26_22, e11, e13, % 44.40/7.08 | simplifying with (178), (317) gives: % 44.40/7.08 | (442) all_26_22 = all_16_2 % 44.40/7.08 | % 44.40/7.08 | GROUND_INST: instantiating (29) with all_12_8, all_26_22, e11, e13, % 44.40/7.08 | simplifying with (105), (317) gives: % 44.40/7.08 | (443) all_26_22 = all_12_8 % 44.40/7.08 | % 44.40/7.08 | GROUND_INST: instantiating (29) with all_26_22, all_28_116, e11, e13, % 44.40/7.08 | simplifying with (317), (338) gives: % 44.40/7.08 | (444) all_28_116 = all_26_22 % 44.40/7.08 | % 44.40/7.08 | GROUND_INST: instantiating (29) with all_22_4, all_28_116, e11, e13, % 44.40/7.08 | simplifying with (260), (338) gives: % 44.40/7.08 | (445) all_28_116 = all_22_4 % 44.40/7.08 | % 44.40/7.08 | GROUND_INST: instantiating (29) with all_16_1, all_22_1, e12, e13, simplifying % 44.40/7.08 | with (179), (261) gives: % 44.40/7.08 | (446) all_22_1 = all_16_1 % 44.40/7.08 | % 44.40/7.08 | GROUND_INST: instantiating (29) with all_22_1, all_26_19, e12, e13, % 44.40/7.08 | simplifying with (261), (318) gives: % 44.40/7.08 | (447) all_26_19 = all_22_1 % 44.40/7.08 | % 44.40/7.08 | GROUND_INST: instantiating (29) with all_26_19, all_28_113, e12, e13, % 44.40/7.08 | simplifying with (318), (339) gives: % 44.40/7.08 | (448) all_28_113 = all_26_19 % 44.40/7.08 | % 44.40/7.08 | GROUND_INST: instantiating (29) with all_12_4, all_28_113, e12, e13, % 44.40/7.08 | simplifying with (106), (339) gives: % 44.40/7.08 | (449) all_28_113 = all_12_4 % 44.40/7.08 | % 44.40/7.08 | GROUND_INST: instantiating (29) with all_16_0, all_22_0, e13, e13, simplifying % 44.40/7.08 | with (180), (262) gives: % 44.40/7.08 | (450) all_22_0 = all_16_0 % 44.40/7.08 | % 44.40/7.08 | GROUND_INST: instantiating (29) with all_12_0, all_22_0, e13, e13, simplifying % 44.40/7.08 | with (107), (262) gives: % 44.40/7.08 | (451) all_22_0 = all_12_0 % 44.40/7.08 | % 44.40/7.08 | GROUND_INST: instantiating (29) with all_22_0, all_26_26, e13, e13, % 44.40/7.08 | simplifying with (262), (319) gives: % 44.40/7.08 | (452) all_26_26 = all_22_0 % 44.40/7.08 | % 44.40/7.08 | GROUND_INST: instantiating (29) with all_26_26, all_28_110, e13, e13, % 44.40/7.08 | simplifying with (319), (340) gives: % 44.40/7.08 | (453) all_28_110 = all_26_26 % 44.40/7.08 | % 44.40/7.08 | GROUND_INST: instantiating (29) with e10, all_28_110, e13, e13, simplifying % 44.40/7.08 | with (16), (340) gives: % 44.40/7.08 | (454) all_28_110 = e10 % 44.40/7.08 | % 44.40/7.08 | GROUND_INST: instantiating (30) with all_14_15, all_20_15, e20, e20, % 44.40/7.08 | simplifying with (148), (216) gives: % 44.40/7.08 | (455) all_20_15 = all_14_15 % 44.40/7.08 | % 44.40/7.08 | GROUND_INST: instantiating (30) with all_10_1, all_20_15, e20, e20, % 44.40/7.08 | simplifying with (48), (216) gives: % 44.40/7.08 | (456) all_20_15 = all_10_1 % 44.40/7.08 | % 44.40/7.08 | GROUND_INST: instantiating (30) with all_20_15, all_24_31, e20, e20, % 44.40/7.08 | simplifying with (216), (275) gives: % 44.40/7.08 | (457) all_24_31 = all_20_15 % 44.40/7.08 | % 44.40/7.08 | GROUND_INST: instantiating (30) with all_18_15, all_24_31, e20, e20, % 44.40/7.08 | simplifying with (193), (275) gives: % 44.40/7.08 | (458) all_24_31 = all_18_15 % 44.40/7.08 | % 44.40/7.08 | GROUND_INST: instantiating (30) with all_18_14, all_20_14, e21, e20, % 44.40/7.08 | simplifying with (194), (217) gives: % 44.40/7.08 | (459) all_20_14 = all_18_14 % 44.40/7.08 | % 44.40/7.08 | GROUND_INST: instantiating (30) with all_20_14, all_24_24, e21, e20, % 44.40/7.08 | simplifying with (217), (276) gives: % 44.40/7.08 | (460) all_24_24 = all_20_14 % 44.40/7.08 | % 44.40/7.08 | GROUND_INST: instantiating (30) with all_14_11, all_24_24, e21, e20, % 44.40/7.08 | simplifying with (149), (276) gives: % 44.40/7.08 | (461) all_24_24 = all_14_11 % 44.40/7.08 | % 44.40/7.08 | GROUND_INST: instantiating (30) with all_14_7, all_20_13, e22, e20, % 44.40/7.08 | simplifying with (150), (218) gives: % 44.40/7.08 | (462) all_20_13 = all_14_7 % 44.40/7.08 | % 44.40/7.08 | GROUND_INST: instantiating (30) with all_20_13, all_24_21, e22, e20, % 44.40/7.08 | simplifying with (218), (277) gives: % 44.40/7.08 | (463) all_24_21 = all_20_13 % 44.40/7.08 | % 44.40/7.08 | GROUND_INST: instantiating (30) with all_18_13, all_24_21, e22, e20, % 44.40/7.08 | simplifying with (195), (277) gives: % 44.40/7.08 | (464) all_24_21 = all_18_13 % 44.40/7.08 | % 44.40/7.08 | GROUND_INST: instantiating (30) with all_14_3, all_20_12, e23, e20, % 44.40/7.08 | simplifying with (151), (219) gives: % 44.40/7.08 | (465) all_20_12 = all_14_3 % 44.40/7.08 | % 44.40/7.08 | GROUND_INST: instantiating (30) with all_20_12, all_24_18, e23, e20, % 44.40/7.08 | simplifying with (219), (278) gives: % 44.40/7.08 | (466) all_24_18 = all_20_12 % 44.40/7.08 | % 44.40/7.08 | GROUND_INST: instantiating (30) with all_18_12, all_24_18, e23, e20, % 44.40/7.08 | simplifying with (196), (278) gives: % 44.40/7.08 | (467) all_24_18 = all_18_12 % 44.40/7.08 | % 44.40/7.08 | GROUND_INST: instantiating (30) with all_18_11, all_20_11, e20, e21, % 44.40/7.08 | simplifying with (197), (220) gives: % 44.40/7.08 | (468) all_20_11 = all_18_11 % 44.40/7.08 | % 44.40/7.08 | GROUND_INST: instantiating (30) with all_20_11, all_24_29, e20, e21, % 44.40/7.08 | simplifying with (220), (281) gives: % 44.40/7.08 | (469) all_24_29 = all_20_11 % 44.40/7.08 | % 44.40/7.08 | GROUND_INST: instantiating (30) with all_14_14, all_24_29, e20, e21, % 44.40/7.08 | simplifying with (152), (281) gives: % 44.40/7.08 | (470) all_24_29 = all_14_14 % 44.40/7.08 | % 44.40/7.08 | GROUND_INST: instantiating (30) with all_4_1, all_14_10, e21, e21, simplifying % 44.40/7.08 | with (32), (153) gives: % 44.40/7.08 | (471) all_14_10 = all_4_1 % 44.40/7.08 | % 44.40/7.08 | GROUND_INST: instantiating (30) with all_14_10, all_18_10, e21, e21, % 44.40/7.08 | simplifying with (153), (198) gives: % 44.40/7.08 | (472) all_18_10 = all_14_10 % 44.40/7.08 | % 44.40/7.08 | GROUND_INST: instantiating (30) with all_20_8, all_24_30, e21, e21, % 44.40/7.08 | simplifying with (221), (282) gives: % 44.40/7.08 | (473) all_24_30 = all_20_8 % 44.40/7.08 | % 44.40/7.08 | GROUND_INST: instantiating (30) with all_18_10, all_24_30, e21, e21, % 44.40/7.08 | simplifying with (198), (282) gives: % 44.40/7.08 | (474) all_24_30 = all_18_10 % 44.40/7.08 | % 44.40/7.08 | GROUND_INST: instantiating (30) with e22, all_24_30, e21, e21, simplifying % 44.40/7.08 | with (17), (282) gives: % 44.40/7.08 | (475) all_24_30 = e22 % 44.40/7.08 | % 44.40/7.08 | GROUND_INST: instantiating (30) with all_20_7, all_24_20, e22, e21, % 44.40/7.08 | simplifying with (222), (283) gives: % 44.40/7.08 | (476) all_24_20 = all_20_7 % 44.40/7.08 | % 44.40/7.08 | GROUND_INST: instantiating (30) with all_18_9, all_24_20, e22, e21, % 44.40/7.08 | simplifying with (199), (283) gives: % 44.40/7.08 | (477) all_24_20 = all_18_9 % 44.40/7.08 | % 44.40/7.08 | GROUND_INST: instantiating (30) with all_14_6, all_24_20, e22, e21, % 44.40/7.08 | simplifying with (154), (283) gives: % 44.40/7.08 | (478) all_24_20 = all_14_6 % 44.40/7.08 | % 44.40/7.08 | GROUND_INST: instantiating (30) with all_20_6, all_24_17, e23, e21, % 44.40/7.08 | simplifying with (223), (284) gives: % 44.40/7.08 | (479) all_24_17 = all_20_6 % 44.40/7.08 | % 44.40/7.08 | GROUND_INST: instantiating (30) with all_18_8, all_24_17, e23, e21, % 44.40/7.08 | simplifying with (200), (284) gives: % 44.40/7.08 | (480) all_24_17 = all_18_8 % 44.40/7.08 | % 44.40/7.08 | GROUND_INST: instantiating (30) with all_14_2, all_24_17, e23, e21, % 44.40/7.08 | simplifying with (155), (284) gives: % 44.40/7.08 | (481) all_24_17 = all_14_2 % 44.40/7.08 | % 44.40/7.08 | GROUND_INST: instantiating (30) with all_20_10, all_24_27, e20, e22, % 44.40/7.08 | simplifying with (224), (286) gives: % 44.40/7.08 | (482) all_24_27 = all_20_10 % 44.40/7.08 | % 44.40/7.08 | GROUND_INST: instantiating (30) with all_18_7, all_24_27, e20, e22, % 44.40/7.08 | simplifying with (201), (286) gives: % 44.40/7.08 | (483) all_24_27 = all_18_7 % 44.40/7.08 | % 44.40/7.08 | GROUND_INST: instantiating (30) with all_14_13, all_24_27, e20, e22, % 44.40/7.08 | simplifying with (156), (286) gives: % 44.40/7.08 | (484) all_24_27 = all_14_13 % 44.40/7.08 | % 44.40/7.08 | GROUND_INST: instantiating (30) with all_18_6, all_20_5, e21, e22, simplifying % 44.40/7.08 | with (202), (225) gives: % 44.40/7.08 | (485) all_20_5 = all_18_6 % 44.40/7.08 | % 44.40/7.08 | GROUND_INST: instantiating (30) with all_14_9, all_20_5, e21, e22, simplifying % 44.40/7.08 | with (157), (225) gives: % 44.40/7.08 | (486) all_20_5 = all_14_9 % 44.40/7.08 | % 44.40/7.08 | GROUND_INST: instantiating (30) with all_20_5, all_24_23, e21, e22, % 44.40/7.08 | simplifying with (225), (287) gives: % 44.40/7.08 | (487) all_24_23 = all_20_5 % 44.40/7.08 | % 44.40/7.08 | GROUND_INST: instantiating (30) with e23, all_24_23, e21, e22, simplifying % 44.40/7.08 | with (18), (287) gives: % 44.40/7.08 | (488) all_24_23 = e23 % 44.40/7.08 | % 44.40/7.08 | GROUND_INST: instantiating (30) with all_14_5, all_20_3, e22, e22, simplifying % 44.40/7.08 | with (158), (226) gives: % 44.40/7.08 | (489) all_20_3 = all_14_5 % 44.40/7.08 | % 44.40/7.08 | GROUND_INST: instantiating (30) with all_6_1, all_20_3, e22, e22, simplifying % 44.40/7.08 | with (40), (226) gives: % 44.40/7.08 | (490) all_20_3 = all_6_1 % 44.40/7.08 | % 44.40/7.08 | GROUND_INST: instantiating (30) with all_20_3, all_24_28, e22, e22, % 44.40/7.08 | simplifying with (226), (288) gives: % 44.40/7.08 | (491) all_24_28 = all_20_3 % 44.40/7.08 | % 44.40/7.08 | GROUND_INST: instantiating (30) with all_18_5, all_24_28, e22, e22, % 44.40/7.08 | simplifying with (203), (288) gives: % 44.40/7.08 | (492) all_24_28 = all_18_5 % 44.40/7.08 | % 44.40/7.08 | GROUND_INST: instantiating (30) with all_18_4, all_20_2, e23, e22, simplifying % 44.40/7.08 | with (204), (227) gives: % 44.40/7.09 | (493) all_20_2 = all_18_4 % 44.40/7.09 | % 44.40/7.09 | GROUND_INST: instantiating (30) with all_20_2, all_24_16, e23, e22, % 44.40/7.09 | simplifying with (227), (289) gives: % 44.40/7.09 | (494) all_24_16 = all_20_2 % 44.40/7.09 | % 44.40/7.09 | GROUND_INST: instantiating (30) with all_14_1, all_24_16, e23, e22, % 44.40/7.09 | simplifying with (159), (289) gives: % 44.40/7.09 | (495) all_24_16 = all_14_1 % 44.40/7.09 | % 44.40/7.09 | GROUND_INST: instantiating (30) with all_20_9, all_24_25, e20, e23, % 44.40/7.09 | simplifying with (228), (291) gives: % 44.40/7.09 | (496) all_24_25 = all_20_9 % 44.40/7.09 | % 44.40/7.09 | GROUND_INST: instantiating (30) with all_18_3, all_24_25, e20, e23, % 44.40/7.09 | simplifying with (205), (291) gives: % 44.40/7.09 | (497) all_24_25 = all_18_3 % 44.40/7.09 | % 44.40/7.09 | GROUND_INST: instantiating (30) with all_14_12, all_24_25, e20, e23, % 44.40/7.09 | simplifying with (160), (291) gives: % 44.40/7.09 | (498) all_24_25 = all_14_12 % 44.40/7.09 | % 44.40/7.09 | GROUND_INST: instantiating (30) with all_18_2, all_20_4, e21, e23, simplifying % 44.40/7.09 | with (206), (229) gives: % 44.40/7.09 | (499) all_20_4 = all_18_2 % 44.40/7.09 | % 44.40/7.09 | GROUND_INST: instantiating (30) with all_20_4, all_24_22, e21, e23, % 44.40/7.09 | simplifying with (229), (292) gives: % 44.40/7.09 | (500) all_24_22 = all_20_4 % 44.40/7.09 | % 44.40/7.09 | GROUND_INST: instantiating (30) with all_14_8, all_24_22, e21, e23, % 44.40/7.09 | simplifying with (161), (292) gives: % 44.40/7.09 | (501) all_24_22 = all_14_8 % 44.40/7.09 | % 44.40/7.09 | GROUND_INST: instantiating (30) with all_18_1, all_20_1, e22, e23, simplifying % 44.40/7.09 | with (207), (230) gives: % 44.40/7.09 | (502) all_20_1 = all_18_1 % 44.40/7.09 | % 44.40/7.09 | GROUND_INST: instantiating (30) with all_20_1, all_24_19, e22, e23, % 44.40/7.09 | simplifying with (230), (293) gives: % 44.40/7.09 | (503) all_24_19 = all_20_1 % 44.40/7.09 | % 44.40/7.09 | GROUND_INST: instantiating (30) with all_14_4, all_24_19, e22, e23, % 44.40/7.09 | simplifying with (162), (293) gives: % 44.40/7.09 | (504) all_24_19 = all_14_4 % 44.40/7.09 | % 44.40/7.09 | GROUND_INST: instantiating (30) with all_14_0, all_18_0, e23, e23, simplifying % 44.40/7.09 | with (163), (208) gives: % 44.40/7.09 | (505) all_18_0 = all_14_0 % 44.40/7.09 | % 44.40/7.09 | GROUND_INST: instantiating (30) with e20, all_18_0, e23, e23, simplifying with % 44.40/7.09 | (19), (208) gives: % 44.40/7.09 | (506) all_18_0 = e20 % 44.40/7.09 | % 44.40/7.09 | GROUND_INST: instantiating (30) with all_20_0, all_24_26, e23, e23, % 44.40/7.09 | simplifying with (231), (294) gives: % 44.40/7.09 | (507) all_24_26 = all_20_0 % 44.40/7.09 | % 44.40/7.09 | GROUND_INST: instantiating (30) with all_18_0, all_24_26, e23, e23, % 44.40/7.09 | simplifying with (208), (294) gives: % 44.40/7.09 | (508) all_24_26 = all_18_0 % 44.40/7.09 | % 44.40/7.09 | GROUND_INST: instantiating (30) with all_8_1, all_24_26, e23, e23, simplifying % 44.40/7.09 | with (43), (294) gives: % 44.40/7.09 | (509) all_24_26 = all_8_1 % 44.40/7.09 | % 44.40/7.09 | GROUND_INST: instantiating (25) with e20, all_28_153, e11, simplifying with % 44.40/7.09 | (49), (363) gives: % 44.40/7.09 | (510) all_28_153 = e20 % 44.40/7.09 | % 44.40/7.09 | GROUND_INST: instantiating (26) with all_4_2, all_28_106, e10, simplifying % 44.40/7.09 | with (35), (364) gives: % 44.40/7.09 | (511) all_28_106 = all_4_2 % 44.40/7.09 | % 44.40/7.09 | GROUND_INST: instantiating (26) with e21, all_28_103, e11, simplifying with % 44.40/7.09 | (36), (365) gives: % 44.40/7.09 | (512) all_28_103 = e21 % 44.40/7.09 | % 44.40/7.09 | GROUND_INST: instantiating (26) with all_4_1, all_28_100, e12, simplifying % 44.40/7.09 | with (37), (366) gives: % 44.40/7.09 | (513) all_28_100 = all_4_1 % 44.40/7.09 | % 44.40/7.09 | GROUND_INST: instantiating (26) with all_4_0, all_28_97, e13, simplifying with % 44.40/7.09 | (38), (367) gives: % 44.40/7.09 | (514) all_28_97 = all_4_0 % 44.40/7.09 | % 44.40/7.09 | GROUND_INST: instantiating (27) with e22, all_28_67, e11, simplifying with % 44.40/7.09 | (41), (384) gives: % 44.40/7.09 | (515) all_28_67 = e22 % 44.40/7.09 | % 44.40/7.09 | GROUND_INST: instantiating (28) with e23, all_28_31, e11, simplifying with % 44.40/7.09 | (45), (385) gives: % 44.40/7.09 | (516) all_28_31 = e23 % 44.40/7.09 | % 44.40/7.09 | GROUND_INST: instantiating (28) with all_8_1, all_28_28, e12, simplifying with % 44.40/7.09 | (46), (386) gives: % 44.40/7.09 | (517) all_28_28 = all_8_1 % 44.40/7.09 | % 44.40/7.09 | COMBINE_EQS: (453), (454) imply: % 44.40/7.09 | (518) all_26_26 = e10 % 44.40/7.09 | % 44.40/7.09 | SIMP: (518) implies: % 44.40/7.09 | (519) all_26_26 = e10 % 44.40/7.09 | % 44.40/7.09 | COMBINE_EQS: (448), (449) imply: % 44.40/7.09 | (520) all_26_19 = all_12_4 % 44.40/7.09 | % 44.40/7.09 | SIMP: (520) implies: % 44.40/7.09 | (521) all_26_19 = all_12_4 % 44.40/7.09 | % 44.40/7.09 | COMBINE_EQS: (444), (445) imply: % 44.40/7.09 | (522) all_26_22 = all_22_4 % 44.40/7.09 | % 44.40/7.09 | SIMP: (522) implies: % 44.40/7.09 | (523) all_26_22 = all_22_4 % 44.40/7.09 | % 44.40/7.09 | COMBINE_EQS: (440), (441) imply: % 44.40/7.09 | (524) all_26_25 = all_12_12 % 44.40/7.09 | % 44.40/7.09 | SIMP: (524) implies: % 44.40/7.09 | (525) all_26_25 = all_12_12 % 44.40/7.09 | % 44.40/7.09 | COMBINE_EQS: (436), (437) imply: % 44.40/7.09 | (526) all_26_16 = all_22_2 % 44.40/7.09 | % 44.40/7.09 | SIMP: (526) implies: % 44.40/7.09 | (527) all_26_16 = all_22_2 % 44.40/7.09 | % 44.40/7.09 | COMBINE_EQS: (432), (433) imply: % 44.40/7.09 | (528) all_22_3 = all_12_5 % 44.40/7.09 | % 44.40/7.09 | SIMP: (528) implies: % 44.40/7.09 | (529) all_22_3 = all_12_5 % 44.40/7.09 | % 44.40/7.09 | COMBINE_EQS: (428), (429) imply: % 44.40/7.09 | (530) all_26_23 = all_16_6 % 44.40/7.09 | % 44.40/7.09 | SIMP: (530) implies: % 44.40/7.09 | (531) all_26_23 = all_16_6 % 44.40/7.09 | % 44.40/7.09 | COMBINE_EQS: (423), (424) imply: % 44.40/7.09 | (532) all_26_27 = all_16_7 % 44.40/7.09 | % 44.40/7.09 | SIMP: (532) implies: % 44.40/7.09 | (533) all_26_27 = all_16_7 % 44.40/7.09 | % 44.40/7.09 | COMBINE_EQS: (417), (418) imply: % 44.40/7.09 | (534) all_26_17 = all_22_6 % 44.40/7.09 | % 44.40/7.09 | COMBINE_EQS: (417), (420) imply: % 44.40/7.09 | (535) all_26_17 = all_12_2 % 44.40/7.09 | % 44.40/7.09 | COMBINE_EQS: (417), (419) imply: % 44.40/7.09 | (536) all_26_17 = all_16_8 % 44.40/7.09 | % 44.40/7.09 | COMBINE_EQS: (413), (416) imply: % 44.40/7.09 | (537) all_26_20 = all_12_6 % 44.40/7.09 | % 44.40/7.09 | COMBINE_EQS: (413), (415) imply: % 44.40/7.09 | (538) all_26_20 = all_16_9 % 44.40/7.09 | % 44.40/7.09 | COMBINE_EQS: (413), (414) imply: % 44.40/7.09 | (539) all_26_20 = all_22_7 % 44.40/7.09 | % 44.40/7.09 | COMBINE_EQS: (411), (412) imply: % 44.40/7.09 | (540) all_26_30 = all_16_10 % 44.40/7.09 | % 44.40/7.09 | SIMP: (540) implies: % 44.40/7.09 | (541) all_26_30 = all_16_10 % 44.40/7.09 | % 44.40/7.09 | COMBINE_EQS: (406), (407) imply: % 44.40/7.09 | (542) all_26_29 = all_22_11 % 44.40/7.09 | % 44.40/7.09 | SIMP: (542) implies: % 44.40/7.09 | (543) all_26_29 = all_22_11 % 44.40/7.09 | % 44.40/7.09 | COMBINE_EQS: (402), (403) imply: % 44.40/7.09 | (544) all_26_18 = all_22_12 % 44.40/7.09 | % 44.40/7.09 | SIMP: (544) implies: % 44.40/7.09 | (545) all_26_18 = all_22_12 % 44.40/7.09 | % 44.40/7.09 | COMBINE_EQS: (398), (399) imply: % 44.40/7.09 | (546) all_26_21 = all_22_13 % 44.40/7.09 | % 44.40/7.09 | SIMP: (546) implies: % 44.40/7.09 | (547) all_26_21 = all_22_13 % 44.40/7.09 | % 44.40/7.09 | COMBINE_EQS: (393), (395) imply: % 44.40/7.09 | (548) all_26_24 = all_16_14 % 44.40/7.09 | % 44.40/7.09 | COMBINE_EQS: (393), (394) imply: % 44.40/7.09 | (549) all_26_24 = all_22_14 % 44.40/7.09 | % 44.40/7.09 | COMBINE_EQS: (390), (391) imply: % 44.40/7.09 | (550) all_26_31 = all_12_15 % 44.40/7.09 | % 44.40/7.09 | SIMP: (550) implies: % 44.40/7.09 | (551) all_26_31 = all_12_15 % 44.40/7.09 | % 44.40/7.09 | COMBINE_EQS: (435), (527) imply: % 44.40/7.09 | (552) all_22_2 = all_12_1 % 44.40/7.09 | % 44.40/7.09 | COMBINE_EQS: (434), (527) imply: % 44.40/7.09 | (553) all_22_2 = all_16_4 % 44.40/7.09 | % 44.40/7.09 | COMBINE_EQS: (534), (535) imply: % 44.40/7.09 | (554) all_22_6 = all_12_2 % 44.40/7.09 | % 44.40/7.09 | COMBINE_EQS: (534), (536) imply: % 44.40/7.09 | (555) all_22_6 = all_16_8 % 44.40/7.09 | % 44.40/7.09 | COMBINE_EQS: (401), (545) imply: % 44.40/7.09 | (556) all_22_12 = all_12_3 % 44.40/7.09 | % 44.40/7.09 | COMBINE_EQS: (400), (545) imply: % 44.40/7.09 | (557) all_22_12 = all_16_12 % 44.40/7.09 | % 44.40/7.09 | COMBINE_EQS: (447), (521) imply: % 44.40/7.09 | (558) all_22_1 = all_12_4 % 44.40/7.09 | % 44.40/7.09 | SIMP: (558) implies: % 44.40/7.09 | (559) all_22_1 = all_12_4 % 44.40/7.09 | % 44.40/7.09 | COMBINE_EQS: (537), (539) imply: % 44.40/7.09 | (560) all_22_7 = all_12_6 % 44.40/7.09 | % 44.40/7.09 | COMBINE_EQS: (538), (539) imply: % 44.40/7.09 | (561) all_22_7 = all_16_9 % 44.40/7.09 | % 44.40/7.09 | COMBINE_EQS: (397), (547) imply: % 44.40/7.09 | (562) all_22_13 = all_12_7 % 44.40/7.09 | % 44.40/7.09 | COMBINE_EQS: (396), (547) imply: % 44.40/7.09 | (563) all_22_13 = all_16_13 % 44.40/7.09 | % 44.40/7.09 | COMBINE_EQS: (442), (523) imply: % 44.40/7.09 | (564) all_22_4 = all_16_2 % 44.40/7.09 | % 44.40/7.09 | COMBINE_EQS: (443), (523) imply: % 44.40/7.09 | (565) all_22_4 = all_12_8 % 44.40/7.09 | % 44.40/7.09 | COMBINE_EQS: (427), (531) imply: % 44.40/7.09 | (566) all_22_5 = all_16_6 % 44.40/7.09 | % 44.40/7.09 | SIMP: (566) implies: % 44.40/7.09 | (567) all_22_5 = all_16_6 % 44.40/7.09 | % 44.40/7.09 | COMBINE_EQS: (548), (549) imply: % 44.40/7.09 | (568) all_22_14 = all_16_14 % 44.61/7.09 | % 44.61/7.09 | SIMP: (568) implies: % 44.61/7.09 | (569) all_22_14 = all_16_14 % 44.61/7.09 | % 44.61/7.09 | COMBINE_EQS: (438), (525) imply: % 44.61/7.09 | (570) all_22_9 = all_12_12 % 44.61/7.09 | % 44.61/7.09 | COMBINE_EQS: (438), (439) imply: % 44.61/7.09 | (571) all_22_9 = all_16_3 % 44.61/7.09 | % 44.61/7.09 | COMBINE_EQS: (452), (519) imply: % 44.61/7.09 | (572) all_22_0 = e10 % 44.61/7.09 | % 44.61/7.09 | SIMP: (572) implies: % 44.61/7.09 | (573) all_22_0 = e10 % 44.61/7.09 | % 44.61/7.09 | COMBINE_EQS: (422), (533) imply: % 44.61/7.09 | (574) all_22_10 = all_16_7 % 44.61/7.09 | % 44.61/7.09 | SIMP: (574) implies: % 44.61/7.09 | (575) all_22_10 = all_16_7 % 44.61/7.09 | % 44.61/7.09 | COMBINE_EQS: (430), (431) imply: % 44.61/7.09 | (576) all_22_3 = all_16_5 % 44.61/7.09 | % 44.61/7.09 | SIMP: (576) implies: % 44.61/7.10 | (577) all_22_3 = all_16_5 % 44.61/7.10 | % 44.61/7.10 | COMBINE_EQS: (405), (543) imply: % 44.61/7.10 | (578) all_22_11 = all_12_14 % 44.61/7.10 | % 44.61/7.10 | COMBINE_EQS: (404), (543) imply: % 44.61/7.10 | (579) all_22_11 = all_16_11 % 44.61/7.10 | % 44.61/7.10 | COMBINE_EQS: (410), (541) imply: % 44.61/7.10 | (580) all_22_8 = all_16_10 % 44.61/7.10 | % 44.61/7.10 | SIMP: (580) implies: % 44.61/7.10 | (581) all_22_8 = all_16_10 % 44.61/7.10 | % 44.61/7.10 | COMBINE_EQS: (389), (551) imply: % 44.61/7.10 | (582) all_22_15 = all_12_15 % 44.61/7.10 | % 44.61/7.10 | SIMP: (582) implies: % 44.61/7.10 | (583) all_22_15 = all_12_15 % 44.61/7.10 | % 44.61/7.10 | COMBINE_EQS: (494), (495) imply: % 44.61/7.10 | (584) all_20_2 = all_14_1 % 44.61/7.10 | % 44.61/7.10 | SIMP: (584) implies: % 44.61/7.10 | (585) all_20_2 = all_14_1 % 44.61/7.10 | % 44.61/7.10 | COMBINE_EQS: (479), (481) imply: % 44.61/7.10 | (586) all_20_6 = all_14_2 % 44.61/7.10 | % 44.61/7.10 | COMBINE_EQS: (479), (480) imply: % 44.61/7.10 | (587) all_20_6 = all_18_8 % 44.61/7.10 | % 44.61/7.10 | COMBINE_EQS: (466), (467) imply: % 44.61/7.10 | (588) all_20_12 = all_18_12 % 44.61/7.10 | % 44.61/7.10 | SIMP: (588) implies: % 44.61/7.10 | (589) all_20_12 = all_18_12 % 44.61/7.10 | % 44.61/7.10 | COMBINE_EQS: (503), (504) imply: % 44.61/7.10 | (590) all_20_1 = all_14_4 % 44.61/7.10 | % 44.61/7.10 | SIMP: (590) implies: % 44.61/7.10 | (591) all_20_1 = all_14_4 % 44.61/7.10 | % 44.61/7.10 | COMBINE_EQS: (476), (478) imply: % 44.61/7.10 | (592) all_20_7 = all_14_6 % 44.61/7.10 | % 44.61/7.10 | COMBINE_EQS: (476), (477) imply: % 44.61/7.10 | (593) all_20_7 = all_18_9 % 44.61/7.10 | % 44.61/7.10 | COMBINE_EQS: (463), (464) imply: % 44.61/7.10 | (594) all_20_13 = all_18_13 % 44.61/7.10 | % 44.61/7.10 | SIMP: (594) implies: % 44.61/7.10 | (595) all_20_13 = all_18_13 % 44.61/7.10 | % 44.61/7.10 | COMBINE_EQS: (500), (501) imply: % 44.61/7.10 | (596) all_20_4 = all_14_8 % 44.61/7.10 | % 44.61/7.10 | SIMP: (596) implies: % 44.61/7.10 | (597) all_20_4 = all_14_8 % 44.61/7.10 | % 44.61/7.10 | COMBINE_EQS: (487), (488) imply: % 44.61/7.10 | (598) all_20_5 = e23 % 44.61/7.10 | % 44.61/7.10 | SIMP: (598) implies: % 44.61/7.10 | (599) all_20_5 = e23 % 44.61/7.10 | % 44.61/7.10 | COMBINE_EQS: (460), (461) imply: % 44.61/7.10 | (600) all_20_14 = all_14_11 % 44.61/7.10 | % 44.61/7.10 | SIMP: (600) implies: % 44.61/7.10 | (601) all_20_14 = all_14_11 % 44.61/7.10 | % 44.61/7.10 | COMBINE_EQS: (496), (498) imply: % 44.61/7.10 | (602) all_20_9 = all_14_12 % 44.61/7.10 | % 44.61/7.10 | COMBINE_EQS: (496), (497) imply: % 44.61/7.10 | (603) all_20_9 = all_18_3 % 44.61/7.10 | % 44.61/7.10 | COMBINE_EQS: (507), (509) imply: % 44.61/7.10 | (604) all_20_0 = all_8_1 % 44.61/7.10 | % 44.61/7.10 | COMBINE_EQS: (507), (508) imply: % 44.61/7.10 | (605) all_20_0 = all_18_0 % 44.61/7.10 | % 44.61/7.10 | COMBINE_EQS: (482), (484) imply: % 44.61/7.10 | (606) all_20_10 = all_14_13 % 44.61/7.10 | % 44.61/7.10 | COMBINE_EQS: (482), (483) imply: % 44.61/7.10 | (607) all_20_10 = all_18_7 % 44.61/7.10 | % 44.61/7.10 | COMBINE_EQS: (491), (492) imply: % 44.61/7.10 | (608) all_20_3 = all_18_5 % 44.61/7.10 | % 44.61/7.10 | SIMP: (608) implies: % 44.61/7.10 | (609) all_20_3 = all_18_5 % 44.61/7.10 | % 44.61/7.10 | COMBINE_EQS: (469), (470) imply: % 44.61/7.10 | (610) all_20_11 = all_14_14 % 44.61/7.10 | % 44.61/7.10 | SIMP: (610) implies: % 44.61/7.10 | (611) all_20_11 = all_14_14 % 44.61/7.10 | % 44.61/7.10 | COMBINE_EQS: (473), (475) imply: % 44.61/7.10 | (612) all_20_8 = e22 % 44.61/7.10 | % 44.61/7.10 | COMBINE_EQS: (473), (474) imply: % 44.61/7.10 | (613) all_20_8 = all_18_10 % 44.61/7.10 | % 44.61/7.10 | COMBINE_EQS: (457), (458) imply: % 44.61/7.10 | (614) all_20_15 = all_18_15 % 44.61/7.10 | % 44.61/7.10 | SIMP: (614) implies: % 44.61/7.10 | (615) all_20_15 = all_18_15 % 44.61/7.10 | % 44.61/7.10 | COMBINE_EQS: (450), (451) imply: % 44.61/7.10 | (616) all_16_0 = all_12_0 % 44.61/7.10 | % 44.61/7.10 | COMBINE_EQS: (450), (573) imply: % 44.61/7.10 | (617) all_16_0 = e10 % 44.61/7.10 | % 44.61/7.10 | COMBINE_EQS: (446), (559) imply: % 44.61/7.10 | (618) all_16_1 = all_12_4 % 44.61/7.10 | % 44.61/7.10 | SIMP: (618) implies: % 44.61/7.10 | (619) all_16_1 = all_12_4 % 44.61/7.10 | % 44.61/7.10 | COMBINE_EQS: (552), (553) imply: % 44.61/7.10 | (620) all_16_4 = all_12_1 % 44.61/7.10 | % 44.61/7.10 | SIMP: (620) implies: % 44.61/7.10 | (621) all_16_4 = all_12_1 % 44.61/7.10 | % 44.61/7.10 | COMBINE_EQS: (529), (577) imply: % 44.61/7.10 | (622) all_16_5 = all_12_5 % 44.61/7.10 | % 44.61/7.10 | COMBINE_EQS: (564), (565) imply: % 44.61/7.10 | (623) all_16_2 = all_12_8 % 44.61/7.10 | % 44.61/7.10 | COMBINE_EQS: (425), (567) imply: % 44.61/7.10 | (624) all_16_6 = all_12_9 % 44.61/7.10 | % 44.61/7.10 | COMBINE_EQS: (426), (567) imply: % 44.61/7.10 | (625) all_16_6 = e13 % 44.61/7.10 | % 44.61/7.10 | COMBINE_EQS: (554), (555) imply: % 44.61/7.10 | (626) all_16_8 = all_12_2 % 44.61/7.10 | % 44.61/7.10 | SIMP: (626) implies: % 44.61/7.10 | (627) all_16_8 = all_12_2 % 44.61/7.10 | % 44.61/7.10 | COMBINE_EQS: (560), (561) imply: % 44.61/7.10 | (628) all_16_9 = all_12_6 % 44.61/7.10 | % 44.61/7.10 | SIMP: (628) implies: % 44.61/7.10 | (629) all_16_9 = all_12_6 % 44.61/7.10 | % 44.61/7.10 | COMBINE_EQS: (409), (581) imply: % 44.61/7.10 | (630) all_16_10 = e12 % 44.61/7.10 | % 44.61/7.10 | COMBINE_EQS: (408), (581) imply: % 44.61/7.10 | (631) all_16_10 = all_12_10 % 44.61/7.10 | % 44.61/7.10 | COMBINE_EQS: (570), (571) imply: % 44.61/7.10 | (632) all_16_3 = all_12_12 % 44.61/7.10 | % 44.61/7.10 | SIMP: (632) implies: % 44.61/7.10 | (633) all_16_3 = all_12_12 % 44.61/7.10 | % 44.61/7.10 | COMBINE_EQS: (421), (575) imply: % 44.61/7.10 | (634) all_16_7 = all_12_13 % 44.61/7.10 | % 44.61/7.10 | COMBINE_EQS: (578), (579) imply: % 44.61/7.10 | (635) all_16_11 = all_12_14 % 44.61/7.10 | % 44.61/7.10 | SIMP: (635) implies: % 44.61/7.10 | (636) all_16_11 = all_12_14 % 44.61/7.10 | % 44.61/7.10 | COMBINE_EQS: (556), (557) imply: % 44.61/7.10 | (637) all_16_12 = all_12_3 % 44.61/7.10 | % 44.61/7.10 | COMBINE_EQS: (562), (563) imply: % 44.61/7.10 | (638) all_16_13 = all_12_7 % 44.61/7.10 | % 44.61/7.10 | COMBINE_EQS: (392), (569) imply: % 44.61/7.10 | (639) all_16_14 = all_12_11 % 44.61/7.10 | % 44.61/7.10 | COMBINE_EQS: (388), (583) imply: % 44.61/7.10 | (640) all_16_15 = all_12_15 % 44.61/7.10 | % 44.61/7.10 | SIMP: (640) implies: % 44.61/7.10 | (641) all_16_15 = all_12_15 % 44.61/7.10 | % 44.61/7.10 | COMBINE_EQS: (604), (605) imply: % 44.61/7.10 | (642) all_18_0 = all_8_1 % 44.61/7.10 | % 44.61/7.10 | SIMP: (642) implies: % 44.61/7.10 | (643) all_18_0 = all_8_1 % 44.61/7.10 | % 44.61/7.10 | COMBINE_EQS: (502), (591) imply: % 44.61/7.10 | (644) all_18_1 = all_14_4 % 44.61/7.10 | % 44.61/7.10 | SIMP: (644) implies: % 44.61/7.10 | (645) all_18_1 = all_14_4 % 44.61/7.10 | % 44.61/7.10 | COMBINE_EQS: (493), (585) imply: % 44.61/7.10 | (646) all_18_4 = all_14_1 % 44.61/7.10 | % 44.61/7.10 | SIMP: (646) implies: % 44.61/7.10 | (647) all_18_4 = all_14_1 % 44.61/7.10 | % 44.61/7.10 | COMBINE_EQS: (490), (609) imply: % 44.61/7.10 | (648) all_18_5 = all_6_1 % 44.61/7.10 | % 44.61/7.10 | COMBINE_EQS: (489), (609) imply: % 44.61/7.10 | (649) all_18_5 = all_14_5 % 44.61/7.10 | % 44.61/7.10 | COMBINE_EQS: (499), (597) imply: % 44.61/7.10 | (650) all_18_2 = all_14_8 % 44.61/7.10 | % 44.61/7.10 | COMBINE_EQS: (485), (486) imply: % 44.61/7.10 | (651) all_18_6 = all_14_9 % 44.61/7.10 | % 44.61/7.10 | COMBINE_EQS: (485), (599) imply: % 44.61/7.10 | (652) all_18_6 = e23 % 44.61/7.10 | % 44.61/7.10 | COMBINE_EQS: (586), (587) imply: % 44.61/7.10 | (653) all_18_8 = all_14_2 % 44.61/7.10 | % 44.61/7.10 | COMBINE_EQS: (592), (593) imply: % 44.61/7.10 | (654) all_18_9 = all_14_6 % 44.61/7.10 | % 44.61/7.10 | COMBINE_EQS: (612), (613) imply: % 44.61/7.10 | (655) all_18_10 = e22 % 44.61/7.10 | % 44.61/7.10 | SIMP: (655) implies: % 44.61/7.10 | (656) all_18_10 = e22 % 44.61/7.10 | % 44.61/7.10 | COMBINE_EQS: (602), (603) imply: % 44.61/7.10 | (657) all_18_3 = all_14_12 % 44.61/7.10 | % 44.61/7.10 | SIMP: (657) implies: % 44.61/7.10 | (658) all_18_3 = all_14_12 % 44.61/7.10 | % 44.61/7.10 | COMBINE_EQS: (606), (607) imply: % 44.61/7.10 | (659) all_18_7 = all_14_13 % 44.61/7.10 | % 44.61/7.10 | COMBINE_EQS: (468), (611) imply: % 44.61/7.10 | (660) all_18_11 = all_14_14 % 44.61/7.10 | % 44.61/7.10 | SIMP: (660) implies: % 44.61/7.10 | (661) all_18_11 = all_14_14 % 44.61/7.10 | % 44.61/7.10 | COMBINE_EQS: (465), (589) imply: % 44.61/7.10 | (662) all_18_12 = all_14_3 % 44.61/7.10 | % 44.61/7.10 | SIMP: (662) implies: % 44.61/7.10 | (663) all_18_12 = all_14_3 % 44.61/7.10 | % 44.61/7.10 | COMBINE_EQS: (462), (595) imply: % 44.61/7.10 | (664) all_18_13 = all_14_7 % 44.61/7.10 | % 44.61/7.10 | COMBINE_EQS: (459), (601) imply: % 44.61/7.10 | (665) all_18_14 = all_14_11 % 44.61/7.10 | % 44.61/7.10 | COMBINE_EQS: (456), (615) imply: % 44.61/7.10 | (666) all_18_15 = all_10_1 % 44.61/7.10 | % 44.61/7.10 | COMBINE_EQS: (455), (615) imply: % 44.61/7.10 | (667) all_18_15 = all_14_15 % 44.61/7.10 | % 44.61/7.10 | COMBINE_EQS: (505), (506) imply: % 44.61/7.10 | (668) all_14_0 = e20 % 44.61/7.10 | % 44.61/7.10 | COMBINE_EQS: (505), (643) imply: % 44.61/7.10 | (669) all_14_0 = all_8_1 % 44.61/7.10 | % 44.61/7.10 | COMBINE_EQS: (648), (649) imply: % 44.61/7.10 | (670) all_14_5 = all_6_1 % 44.61/7.10 | % 44.61/7.10 | COMBINE_EQS: (651), (652) imply: % 44.61/7.10 | (671) all_14_9 = e23 % 44.61/7.10 | % 44.61/7.10 | SIMP: (671) implies: % 44.61/7.10 | (672) all_14_9 = e23 % 44.61/7.10 | % 44.61/7.10 | COMBINE_EQS: (472), (656) imply: % 44.61/7.10 | (673) all_14_10 = e22 % 44.61/7.10 | % 44.61/7.10 | SIMP: (673) implies: % 44.61/7.10 | (674) all_14_10 = e22 % 44.61/7.10 | % 44.61/7.10 | COMBINE_EQS: (666), (667) imply: % 44.61/7.10 | (675) all_14_15 = all_10_1 % 44.61/7.10 | % 44.61/7.10 | COMBINE_EQS: (616), (617) imply: % 44.61/7.10 | (676) all_12_0 = e10 % 44.61/7.10 | % 44.61/7.10 | SIMP: (676) implies: % 44.61/7.10 | (677) all_12_0 = e10 % 44.61/7.10 | % 44.61/7.10 | COMBINE_EQS: (624), (625) imply: % 44.61/7.10 | (678) all_12_9 = e13 % 44.61/7.10 | % 44.61/7.10 | SIMP: (678) implies: % 44.61/7.10 | (679) all_12_9 = e13 % 44.61/7.10 | % 44.61/7.10 | COMBINE_EQS: (630), (631) imply: % 44.61/7.10 | (680) all_12_10 = e12 % 44.61/7.10 | % 44.61/7.10 | SIMP: (680) implies: % 44.61/7.10 | (681) all_12_10 = e12 % 44.61/7.10 | % 44.61/7.10 | COMBINE_EQS: (668), (669) imply: % 44.61/7.11 | (682) all_8_1 = e20 % 44.61/7.11 | % 44.61/7.11 | COMBINE_EQS: (471), (674) imply: % 44.61/7.11 | (683) all_4_1 = e22 % 44.61/7.11 | % 44.61/7.11 | COMBINE_EQS: (604), (682) imply: % 44.61/7.11 | (684) all_20_0 = e20 % 44.61/7.11 | % 44.61/7.11 | COMBINE_EQS: (458), (666) imply: % 44.61/7.11 | (685) all_24_31 = all_10_1 % 44.61/7.11 | % 44.61/7.11 | COMBINE_EQS: (492), (648) imply: % 44.61/7.11 | (686) all_24_28 = all_6_1 % 44.61/7.11 | % 44.61/7.11 | COMBINE_EQS: (507), (684) imply: % 44.61/7.11 | (687) all_24_26 = e20 % 44.61/7.11 | % 44.61/7.11 | COMBINE_EQS: (464), (664) imply: % 44.61/7.11 | (688) all_24_21 = all_14_7 % 44.61/7.11 | % 44.61/7.11 | COMBINE_EQS: (467), (663) imply: % 44.61/7.11 | (689) all_24_18 = all_14_3 % 44.61/7.11 | % 44.61/7.11 | COMBINE_EQS: (541), (630) imply: % 44.61/7.11 | (690) all_26_30 = e12 % 44.61/7.11 | % 44.61/7.11 | COMBINE_EQS: (431), (622) imply: % 44.61/7.11 | (691) all_26_28 = all_12_5 % 44.61/7.11 | % 44.61/7.11 | COMBINE_EQS: (548), (639) imply: % 44.61/7.11 | (692) all_26_24 = all_12_11 % 44.61/7.11 | % 44.61/7.11 | COMBINE_EQS: (531), (625) imply: % 44.61/7.11 | (693) all_26_23 = e13 % 44.61/7.11 | % 44.61/7.11 | COMBINE_EQS: (393), (692) imply: % 44.61/7.11 | (694) all_28_155 = all_12_11 % 44.61/7.11 | % 44.61/7.11 | COMBINE_EQS: (399), (562) imply: % 44.61/7.11 | (695) all_28_151 = all_12_7 % 44.61/7.11 | % 44.61/7.11 | COMBINE_EQS: (403), (556) imply: % 44.61/7.11 | (696) all_28_147 = all_12_3 % 44.61/7.11 | % 44.61/7.11 | COMBINE_EQS: (407), (578) imply: % 44.61/7.11 | (697) all_28_143 = all_12_14 % 44.61/7.11 | % 44.61/7.11 | COMBINE_EQS: (412), (630) imply: % 44.61/7.11 | (698) all_28_140 = e12 % 44.61/7.11 | % 44.61/7.11 | COMBINE_EQS: (424), (634) imply: % 44.61/7.11 | (699) all_28_131 = all_12_13 % 44.61/7.11 | % 44.61/7.11 | COMBINE_EQS: (429), (625) imply: % 44.61/7.11 | (700) all_28_128 = e13 % 44.61/7.11 | % 44.61/7.11 | COMBINE_EQS: (437), (552) imply: % 44.61/7.11 | (701) all_28_122 = all_12_1 % 44.61/7.11 | % 44.61/7.11 | COMBINE_EQS: (445), (565) imply: % 44.61/7.11 | (702) all_28_116 = all_12_8 % 44.61/7.11 | % 44.61/7.11 | COMBINE_EQS: (513), (683) imply: % 44.61/7.11 | (703) all_28_100 = e22 % 44.61/7.11 | % 44.61/7.11 | COMBINE_EQS: (517), (682) imply: % 44.61/7.11 | (704) all_28_28 = e20 % 44.61/7.11 | % 44.61/7.11 | REDUCE: (147), (668) imply: % 44.61/7.11 | (705) ~ (all_14_1 = e20) % 44.61/7.11 | % 44.61/7.11 | SIMP: (705) implies: % 44.61/7.11 | (706) ~ (all_14_1 = e20) % 44.61/7.11 | % 44.61/7.11 | REDUCE: (146), (668) imply: % 44.61/7.11 | (707) ~ (all_14_4 = e20) % 44.61/7.11 | % 44.61/7.11 | SIMP: (707) implies: % 44.61/7.11 | (708) ~ (all_14_4 = e20) % 44.61/7.11 | % 44.61/7.11 | REDUCE: (145), (668) imply: % 44.61/7.11 | (709) ~ (all_14_8 = e20) % 44.61/7.11 | % 44.61/7.11 | SIMP: (709) implies: % 44.61/7.11 | (710) ~ (all_14_8 = e20) % 44.61/7.11 | % 44.61/7.11 | REDUCE: (144), (668) imply: % 44.61/7.11 | (711) ~ (all_14_12 = e20) % 44.61/7.11 | % 44.61/7.11 | SIMP: (711) implies: % 44.61/7.11 | (712) ~ (all_14_12 = e20) % 44.61/7.11 | % 44.61/7.11 | REDUCE: (141), (670) imply: % 44.61/7.11 | (713) ~ (all_14_1 = all_6_1) % 44.61/7.11 | % 44.61/7.11 | REDUCE: (140), (672) imply: % 44.61/7.11 | (714) ~ (all_14_1 = e23) % 44.61/7.11 | % 44.61/7.11 | REDUCE: (136), (674) imply: % 44.61/7.11 | (715) ~ (all_14_2 = e22) % 44.61/7.11 | % 44.61/7.11 | REDUCE: (134), (675) imply: % 44.61/7.11 | (716) ~ (all_14_3 = all_10_1) % 44.61/7.11 | % 44.61/7.11 | REDUCE: (133), (670) imply: % 44.61/7.11 | (717) ~ (all_14_4 = all_6_1) % 44.61/7.11 | % 44.61/7.11 | REDUCE: (128), (670) imply: % 44.61/7.11 | (718) ~ (all_14_7 = all_6_1) % 44.61/7.11 | % 44.61/7.11 | SIMP: (718) implies: % 44.61/7.11 | (719) ~ (all_14_7 = all_6_1) % 44.61/7.11 | % 44.61/7.11 | REDUCE: (127), (670), (672) imply: % 44.61/7.11 | (720) ~ (all_6_1 = e23) % 44.61/7.11 | % 44.61/7.11 | REDUCE: (125), (674) imply: % 44.61/7.11 | (721) ~ (all_14_6 = e22) % 44.61/7.11 | % 44.61/7.11 | REDUCE: (122), (675) imply: % 44.61/7.11 | (722) ~ (all_14_7 = all_10_1) % 44.61/7.11 | % 44.61/7.11 | REDUCE: (121), (672) imply: % 44.61/7.11 | (723) ~ (all_14_8 = e23) % 44.61/7.11 | % 44.61/7.11 | REDUCE: (120), (674) imply: % 44.61/7.11 | (724) ~ (all_14_8 = e22) % 44.61/7.11 | % 44.61/7.11 | REDUCE: (117), (672), (674) imply: % 44.61/7.11 | (725) ~ (e23 = e22) % 44.61/7.11 | % 44.61/7.11 | REDUCE: (116), (672) imply: % 44.61/7.11 | (726) ~ (all_14_11 = e23) % 44.61/7.11 | % 44.61/7.11 | SIMP: (726) implies: % 44.61/7.11 | (727) ~ (all_14_11 = e23) % 44.61/7.11 | % 44.61/7.11 | REDUCE: (115), (672) imply: % 44.61/7.11 | (728) ~ (all_14_13 = e23) % 44.61/7.11 | % 44.61/7.11 | SIMP: (728) implies: % 44.61/7.11 | (729) ~ (all_14_13 = e23) % 44.61/7.11 | % 44.61/7.11 | REDUCE: (114), (674) imply: % 44.61/7.11 | (730) ~ (all_14_11 = e22) % 44.61/7.11 | % 44.61/7.11 | SIMP: (730) implies: % 44.61/7.11 | (731) ~ (all_14_11 = e22) % 44.61/7.11 | % 44.61/7.11 | REDUCE: (113), (674) imply: % 44.61/7.11 | (732) ~ (all_14_14 = e22) % 44.61/7.11 | % 44.61/7.11 | SIMP: (732) implies: % 44.61/7.11 | (733) ~ (all_14_14 = e22) % 44.61/7.11 | % 44.61/7.11 | REDUCE: (112), (675) imply: % 44.61/7.11 | (734) ~ (all_14_11 = all_10_1) % 44.61/7.11 | % 44.61/7.11 | REDUCE: (111), (675) imply: % 44.61/7.11 | (735) ~ (all_14_12 = all_10_1) % 44.61/7.11 | % 44.61/7.11 | REDUCE: (110), (675) imply: % 44.61/7.11 | (736) ~ (all_14_13 = all_10_1) % 44.61/7.11 | % 44.61/7.11 | REDUCE: (109), (675) imply: % 44.61/7.11 | (737) ~ (all_14_14 = all_10_1) % 44.61/7.11 | % 44.61/7.11 | REDUCE: (91), (677) imply: % 44.61/7.11 | (738) ~ (all_12_1 = e10) % 44.61/7.11 | % 44.61/7.11 | SIMP: (738) implies: % 44.61/7.11 | (739) ~ (all_12_1 = e10) % 44.61/7.11 | % 44.61/7.11 | REDUCE: (90), (677) imply: % 44.61/7.11 | (740) ~ (all_12_2 = e10) % 44.61/7.11 | % 44.61/7.11 | SIMP: (740) implies: % 44.61/7.11 | (741) ~ (all_12_2 = e10) % 44.61/7.11 | % 44.61/7.11 | REDUCE: (89), (677) imply: % 44.61/7.11 | (742) ~ (all_12_4 = e10) % 44.61/7.11 | % 44.61/7.11 | SIMP: (742) implies: % 44.61/7.11 | (743) ~ (all_12_4 = e10) % 44.61/7.11 | % 44.61/7.11 | REDUCE: (88), (677) imply: % 44.61/7.11 | (744) ~ (all_12_8 = e10) % 44.61/7.11 | % 44.61/7.11 | SIMP: (744) implies: % 44.61/7.11 | (745) ~ (all_12_8 = e10) % 44.61/7.11 | % 44.61/7.11 | REDUCE: (87), (677) imply: % 44.61/7.11 | (746) ~ (all_12_12 = e10) % 44.61/7.11 | % 44.61/7.11 | SIMP: (746) implies: % 44.61/7.11 | (747) ~ (all_12_12 = e10) % 44.61/7.11 | % 44.61/7.11 | REDUCE: (83), (679) imply: % 44.61/7.11 | (748) ~ (all_12_1 = e13) % 44.61/7.11 | % 44.61/7.11 | REDUCE: (80), (681) imply: % 44.61/7.11 | (749) ~ (all_12_2 = e12) % 44.61/7.11 | % 44.61/7.11 | REDUCE: (68), (679) imply: % 44.61/7.11 | (750) ~ (all_12_5 = e13) % 44.61/7.11 | % 44.61/7.11 | REDUCE: (62), (679) imply: % 44.61/7.11 | (751) ~ (all_12_8 = e13) % 44.61/7.11 | % 44.61/7.11 | REDUCE: (61), (681) imply: % 44.61/7.11 | (752) ~ (all_12_8 = e12) % 44.61/7.11 | % 44.61/7.11 | REDUCE: (58), (679) imply: % 44.61/7.11 | (753) ~ (all_12_11 = e13) % 44.61/7.11 | % 44.61/7.11 | SIMP: (753) implies: % 44.61/7.11 | (754) ~ (all_12_11 = e13) % 44.61/7.11 | % 44.61/7.11 | REDUCE: (57), (679) imply: % 44.61/7.11 | (755) ~ (all_12_13 = e13) % 44.61/7.11 | % 44.61/7.11 | SIMP: (755) implies: % 44.61/7.11 | (756) ~ (all_12_13 = e13) % 44.61/7.11 | % 44.61/7.11 | REDUCE: (56), (681) imply: % 44.61/7.11 | (757) ~ (all_12_11 = e12) % 44.61/7.11 | % 44.61/7.11 | SIMP: (757) implies: % 44.61/7.11 | (758) ~ (all_12_11 = e12) % 44.61/7.11 | % 44.61/7.11 | REDUCE: (383), (454) imply: % 44.61/7.11 | (759) h2(e10) = all_28_73 % 44.61/7.11 | % 44.61/7.11 | REDUCE: (382), (449) imply: % 44.61/7.11 | (760) h2(all_12_4) = all_28_75 % 44.61/7.11 | % 44.61/7.11 | REDUCE: (381), (702) imply: % 44.61/7.11 | (761) h2(all_12_8) = all_28_77 % 44.61/7.11 | % 44.61/7.11 | REDUCE: (380), (441) imply: % 44.61/7.11 | (762) h2(all_12_12) = all_28_79 % 44.61/7.11 | % 44.61/7.11 | REDUCE: (379), (701) imply: % 44.61/7.11 | (763) h2(all_12_1) = all_28_81 % 44.61/7.11 | % 44.61/7.11 | REDUCE: (378), (433) imply: % 44.61/7.11 | (764) h2(all_12_5) = all_28_83 % 44.61/7.11 | % 44.61/7.11 | REDUCE: (377), (700) imply: % 44.61/7.11 | (765) h2(e13) = all_28_85 % 44.61/7.11 | % 44.61/7.11 | REDUCE: (376), (699) imply: % 44.61/7.11 | (766) h2(all_12_13) = all_28_87 % 44.61/7.11 | % 44.61/7.11 | REDUCE: (375), (420) imply: % 44.61/7.11 | (767) h2(all_12_2) = all_28_89 % 44.61/7.11 | % 44.61/7.11 | REDUCE: (374), (416) imply: % 44.61/7.11 | (768) h2(all_12_6) = all_28_91 % 44.61/7.11 | % 44.61/7.11 | REDUCE: (373), (698) imply: % 44.61/7.11 | (769) h2(e12) = all_28_93 % 44.61/7.11 | % 44.61/7.11 | REDUCE: (372), (697) imply: % 44.61/7.11 | (770) h2(all_12_14) = all_28_95 % 44.61/7.11 | % 44.61/7.11 | REDUCE: (371), (696) imply: % 44.61/7.12 | (771) h2(all_12_3) = all_28_98 % 44.61/7.12 | % 44.61/7.12 | REDUCE: (370), (695) imply: % 44.61/7.12 | (772) h2(all_12_7) = all_28_101 % 44.61/7.12 | % 44.61/7.12 | REDUCE: (369), (694) imply: % 44.61/7.12 | (773) h2(all_12_11) = all_28_104 % 44.61/7.12 | % 44.61/7.12 | REDUCE: (368), (391) imply: % 44.61/7.12 | (774) h2(all_12_15) = all_28_107 % 44.61/7.12 | % 44.61/7.12 | REDUCE: (37), (683) imply: % 44.61/7.12 | (775) h2(e12) = e22 % 44.61/7.12 | % 44.61/7.12 | REDUCE: (362), (704) imply: % 44.61/7.12 | (776) op2(e20, e20) = all_28_10 % 44.61/7.12 | % 44.61/7.12 | REDUCE: (361), (516), (704) imply: % 44.61/7.12 | (777) op2(e20, e23) = all_28_12 % 44.61/7.12 | % 44.61/7.12 | REDUCE: (360), (516), (704) imply: % 44.61/7.12 | (778) op2(e23, e20) = all_28_18 % 44.61/7.12 | % 44.61/7.12 | REDUCE: (359), (516) imply: % 44.61/7.12 | (779) op2(e23, e23) = all_28_20 % 44.61/7.12 | % 44.61/7.12 | REDUCE: (358), (515) imply: % 44.61/7.12 | (780) op2(e22, e22) = all_28_56 % 44.61/7.12 | % 44.61/7.12 | REDUCE: (357), (514) imply: % 44.61/7.12 | (781) op2(all_4_0, all_4_0) = all_28_72 % 44.61/7.12 | % 44.61/7.12 | REDUCE: (356), (514), (703) imply: % 44.61/7.12 | (782) op2(all_4_0, e22) = all_28_74 % 44.61/7.12 | % 44.61/7.12 | REDUCE: (355), (512), (514) imply: % 44.61/7.12 | (783) op2(all_4_0, e21) = all_28_76 % 44.61/7.12 | % 44.61/7.12 | REDUCE: (354), (511), (514) imply: % 44.61/7.12 | (784) op2(all_4_0, all_4_2) = all_28_78 % 44.61/7.12 | % 44.61/7.12 | REDUCE: (353), (514), (703) imply: % 44.61/7.12 | (785) op2(e22, all_4_0) = all_28_80 % 44.61/7.12 | % 44.61/7.12 | REDUCE: (352), (703) imply: % 44.61/7.12 | (786) op2(e22, e22) = all_28_82 % 44.61/7.12 | % 44.61/7.12 | REDUCE: (351), (512), (703) imply: % 44.61/7.12 | (787) op2(e22, e21) = all_28_84 % 44.61/7.12 | % 44.61/7.12 | REDUCE: (350), (511), (703) imply: % 44.61/7.12 | (788) op2(e22, all_4_2) = all_28_86 % 44.61/7.12 | % 44.61/7.12 | REDUCE: (349), (512), (514) imply: % 44.61/7.12 | (789) op2(e21, all_4_0) = all_28_88 % 44.61/7.12 | % 44.61/7.12 | REDUCE: (348), (512), (703) imply: % 44.61/7.12 | (790) op2(e21, e22) = all_28_90 % 44.61/7.12 | % 44.61/7.12 | REDUCE: (347), (512) imply: % 44.61/7.12 | (791) op2(e21, e21) = all_28_92 % 44.61/7.12 | % 44.61/7.12 | REDUCE: (346), (511), (512) imply: % 44.61/7.12 | (792) op2(e21, all_4_2) = all_28_94 % 44.61/7.12 | % 44.61/7.12 | REDUCE: (345), (511), (514) imply: % 44.61/7.12 | (793) op2(all_4_2, all_4_0) = all_28_96 % 44.61/7.12 | % 44.61/7.12 | REDUCE: (344), (511), (703) imply: % 44.61/7.12 | (794) op2(all_4_2, e22) = all_28_99 % 44.61/7.12 | % 44.61/7.12 | REDUCE: (343), (511), (512) imply: % 44.61/7.12 | (795) op2(all_4_2, e21) = all_28_102 % 44.61/7.12 | % 44.61/7.12 | REDUCE: (342), (511) imply: % 44.61/7.12 | (796) op2(all_4_2, all_4_2) = all_28_105 % 44.61/7.12 | % 44.61/7.12 | REDUCE: (341), (510) imply: % 44.61/7.12 | (797) op2(e20, e20) = all_28_138 % 44.61/7.12 | % 44.61/7.12 | REDUCE: (44), (682) imply: % 44.61/7.12 | (798) op2(e20, e23) = all_8_0 % 44.61/7.12 | % 44.61/7.12 | REDUCE: (33), (683) imply: % 44.61/7.12 | (799) op2(e22, e21) = all_4_0 % 44.61/7.12 | % 44.61/7.12 | REDUCE: (296), (501) imply: % 44.61/7.12 | (800) op2(e23, all_14_8) = all_24_2 % 44.61/7.12 | % 44.61/7.12 | REDUCE: (295), (687) imply: % 44.61/7.12 | (801) op2(e23, e20) = all_24_0 % 44.61/7.12 | % 44.61/7.12 | REDUCE: (290), (488) imply: % 44.61/7.12 | (802) op2(e22, e23) = all_24_6 % 44.61/7.12 | % 44.61/7.12 | REDUCE: (285), (475) imply: % 44.61/7.12 | (803) op2(e21, e22) = all_24_10 % 44.61/7.12 | % 44.61/7.12 | REDUCE: (280), (688) imply: % 44.61/7.12 | (804) op2(e20, all_14_7) = all_24_13 % 44.61/7.12 | % 44.61/7.12 | REDUCE: (279), (461) imply: % 44.61/7.12 | (805) op2(e20, all_14_11) = all_24_14 % 44.61/7.12 | % 44.61/7.12 | REDUCE: (321), (525) imply: % 44.61/7.12 | (806) op1(e13, all_12_12) = all_26_3 % 44.61/7.12 | % 44.61/7.12 | REDUCE: (320), (519) imply: % 44.61/7.12 | (807) op1(e13, e10) = all_26_0 % 44.61/7.12 | % 44.61/7.12 | REDUCE: (315), (693) imply: % 44.61/7.12 | (808) op1(e12, e13) = all_26_6 % 44.61/7.12 | % 44.61/7.12 | REDUCE: (310), (690) imply: % 44.61/7.12 | (809) op1(e11, e12) = all_26_10 % 44.61/7.12 | % 44.61/7.12 | REDUCE: (305), (397) imply: % 44.61/7.12 | (810) op1(e10, all_12_7) = all_26_13 % 44.61/7.12 | % 44.61/7.12 | REDUCE: (304), (692) imply: % 44.61/7.12 | (811) op1(e10, all_12_11) = all_26_14 % 44.61/7.12 | % 44.61/7.12 | BETA: splitting (237) gives: % 44.61/7.12 | % 44.61/7.12 | Case 1: % 44.61/7.12 | | % 44.61/7.12 | | (812) all_20_4 = e20 % 44.61/7.12 | | % 44.61/7.12 | | COMBINE_EQS: (597), (812) imply: % 44.61/7.12 | | (813) all_14_8 = e20 % 44.61/7.12 | | % 44.61/7.12 | | SIMP: (813) implies: % 44.61/7.12 | | (814) all_14_8 = e20 % 44.61/7.12 | | % 44.61/7.12 | | REDUCE: (710), (814) imply: % 44.61/7.12 | | (815) $false % 44.61/7.12 | | % 44.61/7.12 | | CLOSE: (815) is inconsistent. % 44.61/7.12 | | % 44.61/7.12 | Case 2: % 44.61/7.12 | | % 44.61/7.12 | | (816) all_20_5 = e20 | all_20_8 = e20 | all_20_14 = e20 % 44.61/7.12 | | % 44.61/7.12 | | BETA: splitting (816) gives: % 44.61/7.12 | | % 44.61/7.12 | | Case 1: % 44.61/7.12 | | | % 44.61/7.12 | | | (817) all_20_5 = e20 % 44.61/7.12 | | | % 44.61/7.12 | | | COMBINE_EQS: (599), (817) imply: % 44.61/7.12 | | | (818) e23 = e20 % 44.61/7.12 | | | % 44.61/7.12 | | | SIMP: (818) implies: % 44.61/7.12 | | | (819) e23 = e20 % 44.61/7.12 | | | % 44.61/7.12 | | | REDUCE: (10), (819) imply: % 44.61/7.12 | | | (820) $false % 44.61/7.12 | | | % 44.61/7.12 | | | CLOSE: (820) is inconsistent. % 44.61/7.12 | | | % 44.61/7.12 | | Case 2: % 44.61/7.12 | | | % 44.61/7.13 | | | (821) all_20_8 = e20 | all_20_14 = e20 % 44.61/7.13 | | | % 44.61/7.13 | | | BETA: splitting (821) gives: % 44.61/7.13 | | | % 44.61/7.13 | | | Case 1: % 44.61/7.13 | | | | % 44.61/7.13 | | | | (822) all_20_8 = e20 % 44.61/7.13 | | | | % 44.61/7.13 | | | | COMBINE_EQS: (612), (822) imply: % 44.61/7.13 | | | | (823) e22 = e20 % 44.61/7.13 | | | | % 44.61/7.13 | | | | SIMP: (823) implies: % 44.61/7.13 | | | | (824) e22 = e20 % 44.61/7.13 | | | | % 44.61/7.13 | | | | REDUCE: (8), (824) imply: % 44.61/7.13 | | | | (825) $false % 44.61/7.13 | | | | % 44.61/7.13 | | | | CLOSE: (825) is inconsistent. % 44.61/7.13 | | | | % 44.61/7.13 | | | Case 2: % 44.61/7.13 | | | | % 44.61/7.13 | | | | (826) all_20_14 = e20 % 44.61/7.13 | | | | % 44.61/7.13 | | | | COMBINE_EQS: (601), (826) imply: % 44.61/7.13 | | | | (827) all_14_11 = e20 % 44.61/7.13 | | | | % 44.61/7.13 | | | | SIMP: (827) implies: % 44.61/7.13 | | | | (828) all_14_11 = e20 % 44.61/7.13 | | | | % 44.61/7.13 | | | | COMBINE_EQS: (461), (828) imply: % 44.61/7.13 | | | | (829) all_24_24 = e20 % 44.61/7.13 | | | | % 44.61/7.13 | | | | REDUCE: (123), (828) imply: % 44.61/7.13 | | | | (830) ~ (all_14_7 = e20) % 44.61/7.13 | | | | % 44.61/7.13 | | | | REDUCE: (734), (828) imply: % 44.61/7.13 | | | | (831) ~ (all_10_1 = e20) % 44.61/7.13 | | | | % 44.61/7.13 | | | | SIMP: (831) implies: % 44.61/7.13 | | | | (832) ~ (all_10_1 = e20) % 44.61/7.13 | | | | % 44.61/7.13 | | | | REDUCE: (727), (828) imply: % 44.61/7.13 | | | | (833) ~ (e23 = e20) % 44.61/7.13 | | | | % 44.61/7.13 | | | | REDUCE: (731), (828) imply: % 44.61/7.13 | | | | (834) ~ (e22 = e20) % 44.61/7.13 | | | | % 44.61/7.13 | | | | REDUCE: (805), (828) imply: % 44.61/7.13 | | | | (835) op2(e20, e20) = all_24_14 % 44.61/7.13 | | | | % 44.61/7.13 | | | | REDUCE: (149), (828) imply: % 44.61/7.13 | | | | (836) op2(e20, e21) = e20 % 44.61/7.13 | | | | % 44.61/7.13 | | | | BETA: splitting (238) gives: % 44.61/7.13 | | | | % 44.61/7.13 | | | | Case 1: % 44.61/7.13 | | | | | % 44.61/7.13 | | | | | (837) all_20_4 = e21 % 44.61/7.13 | | | | | % 44.61/7.13 | | | | | COMBINE_EQS: (597), (837) imply: % 44.61/7.13 | | | | | (838) all_14_8 = e21 % 44.61/7.13 | | | | | % 44.61/7.13 | | | | | SIMP: (838) implies: % 44.61/7.13 | | | | | (839) all_14_8 = e21 % 44.61/7.13 | | | | | % 44.61/7.13 | | | | | COMBINE_EQS: (501), (839) imply: % 44.61/7.13 | | | | | (840) all_24_22 = e21 % 44.61/7.13 | | | | | % 44.61/7.13 | | | | | REDUCE: (130), (839) imply: % 44.61/7.13 | | | | | (841) ~ (all_14_4 = e21) % 44.61/7.13 | | | | | % 44.61/7.13 | | | | | REDUCE: (118), (839) imply: % 44.61/7.13 | | | | | (842) ~ (all_14_12 = e21) % 44.61/7.13 | | | | | % 44.61/7.13 | | | | | SIMP: (842) implies: % 44.61/7.13 | | | | | (843) ~ (all_14_12 = e21) % 44.61/7.13 | | | | | % 44.61/7.13 | | | | | REDUCE: (723), (839) imply: % 44.61/7.13 | | | | | (844) ~ (e23 = e21) % 44.61/7.13 | | | | | % 44.61/7.13 | | | | | REDUCE: (724), (839) imply: % 44.61/7.13 | | | | | (845) ~ (e22 = e21) % 44.61/7.13 | | | | | % 44.61/7.13 | | | | | REDUCE: (800), (839) imply: % 44.61/7.13 | | | | | (846) op2(e23, e21) = all_24_2 % 44.61/7.13 | | | | | % 44.61/7.13 | | | | | REDUCE: (161), (839) imply: % 44.61/7.13 | | | | | (847) op2(e23, e21) = e21 % 44.61/7.13 | | | | | % 44.61/7.13 | | | | | BETA: splitting (190) gives: % 44.61/7.13 | | | | | % 44.61/7.13 | | | | | Case 1: % 44.61/7.13 | | | | | | % 44.61/7.13 | | | | | | (848) all_16_2 = e13 % 44.61/7.13 | | | | | | % 44.61/7.13 | | | | | | COMBINE_EQS: (623), (848) imply: % 44.61/7.13 | | | | | | (849) all_12_8 = e13 % 44.61/7.13 | | | | | | % 44.61/7.13 | | | | | | SIMP: (849) implies: % 44.61/7.13 | | | | | | (850) all_12_8 = e13 % 44.61/7.13 | | | | | | % 44.61/7.13 | | | | | | REDUCE: (751), (850) imply: % 44.61/7.13 | | | | | | (851) $false % 44.61/7.13 | | | | | | % 44.61/7.13 | | | | | | CLOSE: (851) is inconsistent. % 44.61/7.13 | | | | | | % 44.61/7.13 | | | | | Case 2: % 44.61/7.13 | | | | | | % 44.61/7.13 | | | | | | (852) ~ (all_16_2 = e13) % 44.61/7.13 | | | | | | (853) all_16_2 = e12 | all_16_2 = e11 | all_16_2 = e10 % 44.61/7.13 | | | | | | % 44.61/7.13 | | | | | | BETA: splitting (853) gives: % 44.61/7.13 | | | | | | % 44.61/7.13 | | | | | | Case 1: % 44.61/7.13 | | | | | | | % 44.61/7.13 | | | | | | | (854) all_16_2 = e11 % 44.61/7.13 | | | | | | | % 44.61/7.13 | | | | | | | COMBINE_EQS: (623), (854) imply: % 44.61/7.13 | | | | | | | (855) all_12_8 = e11 % 44.61/7.13 | | | | | | | % 44.61/7.13 | | | | | | | SIMP: (855) implies: % 44.61/7.13 | | | | | | | (856) all_12_8 = e11 % 44.61/7.13 | | | | | | | % 44.61/7.13 | | | | | | | COMBINE_EQS: (565), (856) imply: % 44.61/7.13 | | | | | | | (857) all_22_4 = e11 % 44.61/7.13 | | | | | | | % 44.61/7.13 | | | | | | | COMBINE_EQS: (443), (856) imply: % 44.61/7.13 | | | | | | | (858) all_26_22 = e11 % 44.61/7.13 | | | | | | | % 44.61/7.13 | | | | | | | REDUCE: (72), (856) imply: % 44.61/7.13 | | | | | | | (859) ~ (all_12_4 = e11) % 44.61/7.13 | | | | | | | % 44.61/7.13 | | | | | | | REDUCE: (60), (856) imply: % 44.61/7.13 | | | | | | | (860) ~ (all_12_11 = e11) % 44.61/7.13 | | | | | | | % 44.61/7.13 | | | | | | | SIMP: (860) implies: % 44.61/7.13 | | | | | | | (861) ~ (all_12_11 = e11) % 44.61/7.13 | | | | | | | % 44.61/7.13 | | | | | | | REDUCE: (59), (856) imply: % 44.61/7.13 | | | | | | | (862) ~ (all_12_12 = e11) % 44.61/7.13 | | | | | | | % 44.61/7.13 | | | | | | | SIMP: (862) implies: % 44.61/7.13 | | | | | | | (863) ~ (all_12_12 = e11) % 44.61/7.13 | | | | | | | % 44.61/7.13 | | | | | | | REDUCE: (751), (856) imply: % 44.61/7.13 | | | | | | | (864) ~ (e13 = e11) % 44.61/7.13 | | | | | | | % 44.61/7.13 | | | | | | | SIMP: (864) implies: % 44.61/7.13 | | | | | | | (865) ~ (e13 = e11) % 44.61/7.13 | | | | | | | % 44.61/7.13 | | | | | | | REDUCE: (761), (856) imply: % 44.61/7.13 | | | | | | | (866) h2(e11) = all_28_77 % 44.61/7.13 | | | | | | | % 44.61/7.13 | | | | | | | BETA: splitting (181) gives: % 44.61/7.13 | | | | | | | % 44.61/7.13 | | | | | | | Case 1: % 44.61/7.13 | | | | | | | | % 44.61/7.13 | | | | | | | | (867) all_16_14 = e13 % 44.61/7.13 | | | | | | | | % 44.61/7.13 | | | | | | | | COMBINE_EQS: (639), (867) imply: % 44.61/7.13 | | | | | | | | (868) all_12_11 = e13 % 44.61/7.13 | | | | | | | | % 44.61/7.13 | | | | | | | | REDUCE: (754), (868) imply: % 44.61/7.13 | | | | | | | | (869) $false % 44.61/7.13 | | | | | | | | % 44.61/7.13 | | | | | | | | CLOSE: (869) is inconsistent. % 44.61/7.13 | | | | | | | | % 44.61/7.13 | | | | | | | Case 2: % 44.61/7.13 | | | | | | | | % 44.61/7.13 | | | | | | | | (870) ~ (all_16_14 = e13) % 44.61/7.13 | | | | | | | | (871) all_16_14 = e12 | all_16_14 = e11 | all_16_14 = e10 % 44.61/7.13 | | | | | | | | % 44.61/7.13 | | | | | | | | BETA: splitting (871) gives: % 44.61/7.13 | | | | | | | | % 44.61/7.13 | | | | | | | | Case 1: % 44.61/7.13 | | | | | | | | | % 44.61/7.13 | | | | | | | | | (872) all_16_14 = e11 % 44.61/7.13 | | | | | | | | | % 44.61/7.13 | | | | | | | | | COMBINE_EQS: (639), (872) imply: % 44.61/7.13 | | | | | | | | | (873) all_12_11 = e11 % 44.61/7.13 | | | | | | | | | % 44.61/7.13 | | | | | | | | | REDUCE: (861), (873) imply: % 44.61/7.13 | | | | | | | | | (874) $false % 44.61/7.13 | | | | | | | | | % 44.61/7.13 | | | | | | | | | CLOSE: (874) is inconsistent. % 44.61/7.13 | | | | | | | | | % 44.61/7.13 | | | | | | | | Case 2: % 44.61/7.13 | | | | | | | | | % 44.61/7.13 | | | | | | | | | (875) ~ (all_16_14 = e11) % 44.61/7.13 | | | | | | | | | (876) all_16_14 = e12 | all_16_14 = e10 % 44.61/7.13 | | | | | | | | | % 44.61/7.13 | | | | | | | | | BETA: splitting (876) gives: % 44.61/7.13 | | | | | | | | | % 44.61/7.13 | | | | | | | | | Case 1: % 44.61/7.13 | | | | | | | | | | % 44.61/7.13 | | | | | | | | | | (877) all_16_14 = e12 % 44.61/7.13 | | | | | | | | | | % 44.61/7.13 | | | | | | | | | | COMBINE_EQS: (639), (877) imply: % 44.61/7.13 | | | | | | | | | | (878) all_12_11 = e12 % 44.61/7.13 | | | | | | | | | | % 44.61/7.13 | | | | | | | | | | REDUCE: (758), (878) imply: % 44.61/7.13 | | | | | | | | | | (879) $false % 44.61/7.13 | | | | | | | | | | % 44.61/7.13 | | | | | | | | | | CLOSE: (879) is inconsistent. % 44.61/7.13 | | | | | | | | | | % 44.61/7.13 | | | | | | | | | Case 2: % 44.61/7.13 | | | | | | | | | | % 44.61/7.13 | | | | | | | | | | (880) all_16_14 = e10 % 44.61/7.13 | | | | | | | | | | % 44.61/7.13 | | | | | | | | | | COMBINE_EQS: (639), (880) imply: % 44.61/7.13 | | | | | | | | | | (881) all_12_11 = e10 % 44.61/7.13 | | | | | | | | | | % 44.61/7.13 | | | | | | | | | | COMBINE_EQS: (392), (881) imply: % 44.61/7.13 | | | | | | | | | | (882) all_22_14 = e10 % 44.61/7.13 | | | | | | | | | | % 44.61/7.13 | | | | | | | | | | COMBINE_EQS: (692), (881) imply: % 44.61/7.13 | | | | | | | | | | (883) all_26_24 = e10 % 44.61/7.13 | | | | | | | | | | % 44.61/7.13 | | | | | | | | | | REDUCE: (77), (881) imply: % 44.61/7.13 | | | | | | | | | | (884) ~ (all_12_3 = e10) % 44.61/7.13 | | | | | | | | | | % 44.61/7.13 | | | | | | | | | | REDUCE: (64), (881) imply: % 44.61/7.13 | | | | | | | | | | (885) ~ (all_12_7 = e10) % 44.61/7.13 | | | | | | | | | | % 44.61/7.13 | | | | | | | | | | REDUCE: (55), (881) imply: % 44.61/7.13 | | | | | | | | | | (886) ~ (all_12_15 = e10) % 44.61/7.13 | | | | | | | | | | % 44.61/7.13 | | | | | | | | | | SIMP: (886) implies: % 44.61/7.13 | | | | | | | | | | (887) ~ (all_12_15 = e10) % 44.61/7.13 | | | | | | | | | | % 44.61/7.13 | | | | | | | | | | REDUCE: (754), (881) imply: % 44.61/7.13 | | | | | | | | | | (888) ~ (e13 = e10) % 44.61/7.13 | | | | | | | | | | % 44.61/7.13 | | | | | | | | | | SIMP: (888) implies: % 44.61/7.13 | | | | | | | | | | (889) ~ (e13 = e10) % 44.61/7.13 | | | | | | | | | | % 44.61/7.13 | | | | | | | | | | REDUCE: (758), (881) imply: % 44.61/7.13 | | | | | | | | | | (890) ~ (e12 = e10) % 44.61/7.13 | | | | | | | | | | % 44.61/7.13 | | | | | | | | | | SIMP: (890) implies: % 44.61/7.13 | | | | | | | | | | (891) ~ (e12 = e10) % 44.61/7.13 | | | | | | | | | | % 44.61/7.13 | | | | | | | | | | REDUCE: (861), (881) imply: % 44.61/7.13 | | | | | | | | | | (892) ~ (e11 = e10) % 44.61/7.13 | | | | | | | | | | % 44.61/7.13 | | | | | | | | | | SIMP: (892) implies: % 44.61/7.13 | | | | | | | | | | (893) ~ (e11 = e10) % 44.61/7.13 | | | | | | | | | | % 44.61/7.13 | | | | | | | | | | REDUCE: (773), (881) imply: % 44.61/7.14 | | | | | | | | | | (894) h2(e10) = all_28_104 % 44.61/7.14 | | | | | | | | | | % 44.61/7.14 | | | | | | | | | | REDUCE: (811), (881) imply: % 44.61/7.14 | | | | | | | | | | (895) op1(e10, e10) = all_26_14 % 44.61/7.14 | | | | | | | | | | % 44.61/7.14 | | | | | | | | | | GROUND_INST: instantiating (29) with all_12_15, all_26_14, e10, % 44.61/7.14 | | | | | | | | | | e10, simplifying with (92), (895) gives: % 44.61/7.14 | | | | | | | | | | (896) all_26_14 = all_12_15 % 44.61/7.14 | | | | | | | | | | % 44.61/7.14 | | | | | | | | | | GROUND_INST: instantiating (29) with all_12_6, all_26_10, e12, % 44.61/7.14 | | | | | | | | | | e11, simplifying with (98), (809) gives: % 44.61/7.14 | | | | | | | | | | (897) all_26_10 = all_12_6 % 44.61/7.14 | | | | | | | | | | % 44.61/7.14 | | | | | | | | | | GROUND_INST: instantiating (29) with all_12_1, all_26_6, e13, % 44.61/7.14 | | | | | | | | | | e12, simplifying with (103), (808) gives: % 44.61/7.14 | | | | | | | | | | (898) all_26_6 = all_12_1 % 44.61/7.14 | | | | | | | | | | % 44.61/7.14 | | | | | | | | | | GROUND_INST: instantiating (29) with all_12_12, all_26_0, e10, % 44.61/7.14 | | | | | | | | | | e13, simplifying with (104), (807) gives: % 44.61/7.14 | | | | | | | | | | (899) all_26_0 = all_12_12 % 44.61/7.14 | | | | | | | | | | % 44.61/7.14 | | | | | | | | | | GROUND_INST: instantiating (30) with all_10_1, all_28_10, e20, % 44.61/7.14 | | | | | | | | | | e20, simplifying with (48), (776) gives: % 44.61/7.14 | | | | | | | | | | (900) all_28_10 = all_10_1 % 44.61/7.14 | | | | | | | | | | % 44.61/7.14 | | | | | | | | | | GROUND_INST: instantiating (30) with all_28_138, all_28_10, % 44.61/7.14 | | | | | | | | | | e20, e20, simplifying with (776), (797) gives: % 44.61/7.14 | | | | | | | | | | (901) all_28_10 = all_28_138 % 44.61/7.14 | | | | | | | | | | % 44.61/7.14 | | | | | | | | | | GROUND_INST: instantiating (30) with all_24_14, all_28_10, e20, % 44.61/7.14 | | | | | | | | | | e20, simplifying with (776), (835) gives: % 44.61/7.14 | | | | | | | | | | (902) all_28_10 = all_24_14 % 44.61/7.14 | | | | | | | | | | % 44.61/7.14 | | | | | | | | | | GROUND_INST: instantiating (30) with all_14_3, all_28_12, e23, % 44.61/7.14 | | | | | | | | | | e20, simplifying with (151), (777) gives: % 44.61/7.14 | | | | | | | | | | (903) all_28_12 = all_14_3 % 44.61/7.14 | | | | | | | | | | % 44.61/7.14 | | | | | | | | | | GROUND_INST: instantiating (30) with all_8_0, all_28_12, e23, % 44.61/7.14 | | | | | | | | | | e20, simplifying with (777), (798) gives: % 44.61/7.14 | | | | | | | | | | (904) all_28_12 = all_8_0 % 44.61/7.14 | | | | | | | | | | % 44.61/7.14 | | | | | | | | | | GROUND_INST: instantiating (30) with e22, all_28_92, e21, e21, % 44.61/7.14 | | | | | | | | | | simplifying with (17), (791) gives: % 44.61/7.14 | | | | | | | | | | (905) all_28_92 = e22 % 44.61/7.14 | | | | | | | | | | % 44.61/7.14 | | | | | | | | | | GROUND_INST: instantiating (30) with all_14_6, all_28_90, e22, % 44.61/7.14 | | | | | | | | | | e21, simplifying with (154), (790) gives: % 44.61/7.14 | | | | | | | | | | (906) all_28_90 = all_14_6 % 44.61/7.14 | | | | | | | | | | % 44.61/7.14 | | | | | | | | | | GROUND_INST: instantiating (30) with all_24_10, all_28_90, e22, % 44.61/7.14 | | | | | | | | | | e21, simplifying with (790), (803) gives: % 44.61/7.14 | | | | | | | | | | (907) all_28_90 = all_24_10 % 44.61/7.14 | | | | | | | | | | % 44.61/7.14 | | | | | | | | | | GROUND_INST: instantiating (30) with e23, all_28_84, e21, e22, % 44.61/7.14 | | | | | | | | | | simplifying with (18), (787) gives: % 44.61/7.14 | | | | | | | | | | (908) all_28_84 = e23 % 44.61/7.14 | | | | | | | | | | % 44.61/7.14 | | | | | | | | | | GROUND_INST: instantiating (30) with all_4_0, all_28_84, e21, % 44.61/7.14 | | | | | | | | | | e22, simplifying with (787), (799) gives: % 44.61/7.14 | | | | | | | | | | (909) all_28_84 = all_4_0 % 44.61/7.14 | | | | | | | | | | % 44.61/7.14 | | | | | | | | | | GROUND_INST: instantiating (30) with all_6_1, all_28_56, e22, % 44.61/7.14 | | | | | | | | | | e22, simplifying with (40), (780) gives: % 44.61/7.14 | | | | | | | | | | (910) all_28_56 = all_6_1 % 44.61/7.14 | | | | | | | | | | % 44.61/7.14 | | | | | | | | | | GROUND_INST: instantiating (30) with all_28_82, all_28_56, e22, % 44.61/7.14 | | | | | | | | | | e22, simplifying with (780), (786) gives: % 44.61/7.14 | | | | | | | | | | (911) all_28_56 = all_28_82 % 44.61/7.14 | | | | | | | | | | % 44.61/7.14 | | | | | | | | | | GROUND_INST: instantiating (30) with all_14_1, all_24_6, e23, % 44.61/7.14 | | | | | | | | | | e22, simplifying with (159), (802) gives: % 44.61/7.14 | | | | | | | | | | (912) all_24_6 = all_14_1 % 44.61/7.14 | | | | | | | | | | % 44.61/7.14 | | | | | | | | | | GROUND_INST: instantiating (30) with all_14_12, all_28_18, e20, % 44.61/7.14 | | | | | | | | | | e23, simplifying with (160), (778) gives: % 44.61/7.14 | | | | | | | | | | (913) all_28_18 = all_14_12 % 44.61/7.14 | | | | | | | | | | % 44.61/7.14 | | | | | | | | | | GROUND_INST: instantiating (30) with all_24_0, all_28_18, e20, % 44.61/7.14 | | | | | | | | | | e23, simplifying with (778), (801) gives: % 44.61/7.14 | | | | | | | | | | (914) all_28_18 = all_24_0 % 44.61/7.14 | | | | | | | | | | % 44.61/7.14 | | | | | | | | | | GROUND_INST: instantiating (30) with e21, all_24_2, e21, e23, % 44.61/7.14 | | | | | | | | | | simplifying with (846), (847) gives: % 44.61/7.14 | | | | | | | | | | (915) all_24_2 = e21 % 44.61/7.14 | | | | | | | | | | % 44.61/7.14 | | | | | | | | | | GROUND_INST: instantiating (30) with e20, all_28_20, e23, e23, % 44.61/7.14 | | | | | | | | | | simplifying with (19), (779) gives: % 44.61/7.14 | | | | | | | | | | (916) all_28_20 = e20 % 44.61/7.14 | | | | | | | | | | % 44.61/7.14 | | | | | | | | | | GROUND_INST: instantiating (30) with all_4_2, all_28_72, % 44.61/7.14 | | | | | | | | | | all_4_0, all_4_0, simplifying with (34), (781) % 44.61/7.14 | | | | | | | | | | gives: % 44.61/7.14 | | | | | | | | | | (917) all_28_72 = all_4_2 % 44.61/7.14 | | | | | | | | | | % 44.61/7.14 | | | | | | | | | | GROUND_INST: instantiating (26) with all_4_2, all_28_73, e10, % 44.61/7.14 | | | | | | | | | | simplifying with (35), (759) gives: % 44.61/7.14 | | | | | | | | | | (918) all_28_73 = all_4_2 % 44.61/7.14 | | | | | | | | | | % 44.61/7.14 | | | | | | | | | | GROUND_INST: instantiating (26) with all_28_104, all_28_73, % 44.61/7.14 | | | | | | | | | | e10, simplifying with (759), (894) gives: % 44.61/7.14 | | | | | | | | | | (919) all_28_73 = all_28_104 % 44.61/7.14 | | | | | | | | | | % 44.61/7.14 | | | | | | | | | | GROUND_INST: instantiating (26) with e21, all_28_77, e11, % 44.61/7.14 | | | | | | | | | | simplifying with (36), (866) gives: % 44.61/7.14 | | | | | | | | | | (920) all_28_77 = e21 % 44.61/7.14 | | | | | | | | | | % 44.61/7.14 | | | | | | | | | | GROUND_INST: instantiating (26) with e22, all_28_93, e12, % 44.61/7.14 | | | | | | | | | | simplifying with (769), (775) gives: % 44.61/7.14 | | | | | | | | | | (921) all_28_93 = e22 % 44.61/7.14 | | | | | | | | | | % 44.61/7.14 | | | | | | | | | | GROUND_INST: instantiating (26) with all_4_0, all_28_85, e13, % 44.61/7.14 | | | | | | | | | | simplifying with (38), (765) gives: % 44.61/7.14 | | | | | | | | | | (922) all_28_85 = all_4_0 % 44.61/7.14 | | | | | | | | | | % 44.61/7.14 | | | | | | | | | | COMBINE_EQS: (900), (901) imply: % 44.61/7.14 | | | | | | | | | | (923) all_28_138 = all_10_1 % 44.61/7.14 | | | | | | | | | | % 44.61/7.14 | | | | | | | | | | COMBINE_EQS: (901), (902) imply: % 44.61/7.14 | | | | | | | | | | (924) all_28_138 = all_24_14 % 44.61/7.14 | | | | | | | | | | % 44.61/7.14 | | | | | | | | | | COMBINE_EQS: (903), (904) imply: % 44.61/7.14 | | | | | | | | | | (925) all_14_3 = all_8_0 % 44.61/7.14 | | | | | | | | | | % 44.61/7.14 | | | | | | | | | | SIMP: (925) implies: % 44.61/7.14 | | | | | | | | | | (926) all_14_3 = all_8_0 % 44.61/7.14 | | | | | | | | | | % 44.61/7.14 | | | | | | | | | | COMBINE_EQS: (913), (914) imply: % 44.61/7.14 | | | | | | | | | | (927) all_24_0 = all_14_12 % 44.61/7.14 | | | | | | | | | | % 44.61/7.14 | | | | | | | | | | COMBINE_EQS: (910), (911) imply: % 44.61/7.14 | | | | | | | | | | (928) all_28_82 = all_6_1 % 44.61/7.14 | | | | | | | | | | % 44.61/7.14 | | | | | | | | | | COMBINE_EQS: (918), (919) imply: % 44.61/7.14 | | | | | | | | | | (929) all_28_104 = all_4_2 % 44.61/7.14 | | | | | | | | | | % 44.61/7.14 | | | | | | | | | | COMBINE_EQS: (908), (909) imply: % 44.61/7.14 | | | | | | | | | | (930) all_4_0 = e23 % 44.61/7.14 | | | | | | | | | | % 44.61/7.14 | | | | | | | | | | SIMP: (930) implies: % 44.61/7.14 | | | | | | | | | | (931) all_4_0 = e23 % 44.61/7.14 | | | | | | | | | | % 44.61/7.14 | | | | | | | | | | COMBINE_EQS: (906), (907) imply: % 44.61/7.14 | | | | | | | | | | (932) all_24_10 = all_14_6 % 44.61/7.14 | | | | | | | | | | % 44.61/7.14 | | | | | | | | | | COMBINE_EQS: (923), (924) imply: % 44.61/7.14 | | | | | | | | | | (933) all_24_14 = all_10_1 % 44.61/7.14 | | | | | | | | | | % 44.61/7.14 | | | | | | | | | | SIMP: (933) implies: % 44.61/7.14 | | | | | | | | | | (934) all_24_14 = all_10_1 % 44.61/7.14 | | | | | | | | | | % 44.61/7.14 | | | | | | | | | | COMBINE_EQS: (465), (926) imply: % 44.61/7.14 | | | | | | | | | | (935) all_20_12 = all_8_0 % 44.61/7.14 | | | | | | | | | | % 44.61/7.14 | | | | | | | | | | COMBINE_EQS: (689), (926) imply: % 44.61/7.14 | | | | | | | | | | (936) all_24_18 = all_8_0 % 44.61/7.14 | | | | | | | | | | % 44.61/7.14 | | | | | | | | | | COMBINE_EQS: (514), (931) imply: % 44.61/7.14 | | | | | | | | | | (937) all_28_97 = e23 % 44.61/7.14 | | | | | | | | | | % 44.61/7.14 | | | | | | | | | | COMBINE_EQS: (922), (931) imply: % 44.61/7.14 | | | | | | | | | | (938) all_28_85 = e23 % 44.61/7.14 | | | | | | | | | | % 44.61/7.14 | | | | | | | | | | REDUCE: (142), (926) imply: % 44.61/7.14 | | | | | | | | | | (939) ~ (all_14_1 = all_8_0) % 44.61/7.14 | | | | | | | | | | % 44.61/7.14 | | | | | | | | | | REDUCE: (138), (926) imply: % 44.61/7.14 | | | | | | | | | | (940) ~ (all_14_2 = all_8_0) % 44.61/7.14 | | | | | | | | | | % 44.61/7.14 | | | | | | | | | | REDUCE: (135), (926) imply: % 44.61/7.14 | | | | | | | | | | (941) ~ (all_14_7 = all_8_0) % 44.61/7.14 | | | | | | | | | | % 44.61/7.14 | | | | | | | | | | SIMP: (941) implies: % 44.61/7.14 | | | | | | | | | | (942) ~ (all_14_7 = all_8_0) % 44.61/7.14 | | | | | | | | | | % 44.61/7.14 | | | | | | | | | | REDUCE: (716), (926) imply: % 44.61/7.14 | | | | | | | | | | (943) ~ (all_10_1 = all_8_0) % 44.61/7.14 | | | | | | | | | | % 44.61/7.14 | | | | | | | | | | SIMP: (943) implies: % 44.61/7.14 | | | | | | | | | | (944) ~ (all_10_1 = all_8_0) % 44.61/7.14 | | | | | | | | | | % 44.61/7.14 | | | | | | | | | | REDUCE: (38), (931) imply: % 44.61/7.14 | | | | | | | | | | (945) h2(e13) = e23 % 44.61/7.14 | | | | | | | | | | % 44.61/7.14 | | | | | | | | | | REDUCE: (34), (931) imply: % 44.61/7.14 | | | | | | | | | | (946) op2(e23, e23) = all_4_2 % 44.61/7.14 | | | | | | | | | | % 44.61/7.14 | | | | | | | | | | REDUCE: (784), (931) imply: % 44.61/7.14 | | | | | | | | | | (947) op2(e23, all_4_2) = all_28_78 % 44.61/7.14 | | | | | | | | | | % 44.61/7.14 | | | | | | | | | | REDUCE: (782), (931) imply: % 44.61/7.14 | | | | | | | | | | (948) op2(e23, e22) = all_28_74 % 44.61/7.14 | | | | | | | | | | % 44.61/7.14 | | | | | | | | | | REDUCE: (783), (931) imply: % 44.61/7.14 | | | | | | | | | | (949) op2(e23, e21) = all_28_76 % 44.61/7.14 | | | | | | | | | | % 44.61/7.14 | | | | | | | | | | REDUCE: (793), (931) imply: % 44.61/7.14 | | | | | | | | | | (950) op2(all_4_2, e23) = all_28_96 % 44.61/7.14 | | | | | | | | | | % 44.61/7.14 | | | | | | | | | | REDUCE: (785), (931) imply: % 44.61/7.14 | | | | | | | | | | (951) op2(e22, e23) = all_28_80 % 44.61/7.14 | | | | | | | | | | % 44.61/7.14 | | | | | | | | | | REDUCE: (789), (931) imply: % 44.61/7.14 | | | | | | | | | | (952) op2(e21, e23) = all_28_88 % 44.61/7.14 | | | | | | | | | | % 44.61/7.14 | | | | | | | | | | GROUND_INST: instantiating (30) with all_14_2, all_28_88, e23, % 44.61/7.14 | | | | | | | | | | e21, simplifying with (155), (952) gives: % 44.61/7.14 | | | | | | | | | | (953) all_28_88 = all_14_2 % 44.61/7.14 | | | | | | | | | | % 44.61/7.14 | | | | | | | | | | GROUND_INST: instantiating (30) with all_14_1, all_28_80, e23, % 44.61/7.14 | | | | | | | | | | e22, simplifying with (159), (951) gives: % 44.61/7.14 | | | | | | | | | | (954) all_28_80 = all_14_1 % 44.61/7.14 | | | | | | | | | | % 44.61/7.14 | | | | | | | | | | GROUND_INST: instantiating (30) with e21, all_28_76, e21, e23, % 44.61/7.14 | | | | | | | | | | simplifying with (847), (949) gives: % 44.61/7.14 | | | | | | | | | | (955) all_28_76 = e21 % 44.61/7.14 | | | | | | | | | | % 44.61/7.14 | | | | | | | | | | GROUND_INST: instantiating (30) with all_14_4, all_28_74, e22, % 44.61/7.14 | | | | | | | | | | e23, simplifying with (162), (948) gives: % 44.61/7.14 | | | | | | | | | | (956) all_28_74 = all_14_4 % 44.61/7.14 | | | | | | | | | | % 44.61/7.14 | | | | | | | | | | GROUND_INST: instantiating (30) with e20, all_4_2, e23, e23, % 44.61/7.14 | | | | | | | | | | simplifying with (19), (946) gives: % 44.61/7.14 | | | | | | | | | | (957) all_4_2 = e20 % 44.61/7.14 | | | | | | | | | | % 44.61/7.14 | | | | | | | | | | COMBINE_EQS: (511), (957) imply: % 44.61/7.14 | | | | | | | | | | (958) all_28_106 = e20 % 44.61/7.14 | | | | | | | | | | % 44.61/7.14 | | | | | | | | | | COMBINE_EQS: (929), (957) imply: % 44.61/7.14 | | | | | | | | | | (959) all_28_104 = e20 % 44.61/7.14 | | | | | | | | | | % 44.61/7.14 | | | | | | | | | | COMBINE_EQS: (918), (957) imply: % 44.61/7.14 | | | | | | | | | | (960) all_28_73 = e20 % 44.61/7.14 | | | | | | | | | | % 44.61/7.14 | | | | | | | | | | COMBINE_EQS: (917), (957) imply: % 44.61/7.14 | | | | | | | | | | (961) all_28_72 = e20 % 44.61/7.14 | | | | | | | | | | % 44.61/7.14 | | | | | | | | | | REDUCE: (35), (957) imply: % 44.61/7.14 | | | | | | | | | | (962) h2(e10) = e20 % 44.61/7.14 | | | | | | | | | | % 44.61/7.14 | | | | | | | | | | REDUCE: (796), (957) imply: % 44.61/7.14 | | | | | | | | | | (963) op2(e20, e20) = all_28_105 % 44.61/7.14 | | | | | | | | | | % 44.61/7.14 | | | | | | | | | | REDUCE: (950), (957) imply: % 44.61/7.14 | | | | | | | | | | (964) op2(e20, e23) = all_28_96 % 44.61/7.14 | | | | | | | | | | % 44.61/7.14 | | | | | | | | | | REDUCE: (794), (957) imply: % 44.61/7.15 | | | | | | | | | | (965) op2(e20, e22) = all_28_99 % 44.61/7.15 | | | | | | | | | | % 44.61/7.15 | | | | | | | | | | REDUCE: (795), (957) imply: % 44.61/7.15 | | | | | | | | | | (966) op2(e20, e21) = all_28_102 % 44.61/7.15 | | | | | | | | | | % 44.61/7.15 | | | | | | | | | | REDUCE: (947), (957) imply: % 44.61/7.15 | | | | | | | | | | (967) op2(e23, e20) = all_28_78 % 44.61/7.15 | | | | | | | | | | % 44.61/7.15 | | | | | | | | | | REDUCE: (788), (957) imply: % 44.61/7.15 | | | | | | | | | | (968) op2(e22, e20) = all_28_86 % 44.61/7.15 | | | | | | | | | | % 44.61/7.15 | | | | | | | | | | REDUCE: (792), (957) imply: % 44.61/7.15 | | | | | | | | | | (969) op2(e21, e20) = all_28_94 % 44.61/7.15 | | | | | | | | | | % 44.85/7.15 | | | | | | | | | | GROUND_INST: instantiating (30) with all_10_1, all_28_105, e20, % 44.85/7.15 | | | | | | | | | | e20, simplifying with (48), (963) gives: % 44.85/7.15 | | | | | | | | | | (970) all_28_105 = all_10_1 % 44.85/7.15 | | | | | | | | | | % 44.85/7.15 | | | | | | | | | | GROUND_INST: instantiating (30) with e20, all_28_102, e21, e20, % 44.85/7.15 | | | | | | | | | | simplifying with (836), (966) gives: % 44.85/7.15 | | | | | | | | | | (971) all_28_102 = e20 % 44.85/7.15 | | | | | | | | | | % 44.85/7.15 | | | | | | | | | | GROUND_INST: instantiating (30) with all_14_7, all_28_99, e22, % 44.85/7.15 | | | | | | | | | | e20, simplifying with (150), (965) gives: % 44.85/7.15 | | | | | | | | | | (972) all_28_99 = all_14_7 % 44.85/7.15 | | | | | | | | | | % 44.85/7.15 | | | | | | | | | | GROUND_INST: instantiating (30) with all_8_0, all_28_96, e23, % 44.85/7.15 | | | | | | | | | | e20, simplifying with (798), (964) gives: % 44.85/7.15 | | | | | | | | | | (973) all_28_96 = all_8_0 % 44.85/7.15 | | | | | | | | | | % 44.85/7.15 | | | | | | | | | | GROUND_INST: instantiating (30) with all_14_14, all_28_94, e20, % 44.85/7.15 | | | | | | | | | | e21, simplifying with (152), (969) gives: % 44.85/7.15 | | | | | | | | | | (974) all_28_94 = all_14_14 % 44.85/7.15 | | | | | | | | | | % 44.85/7.15 | | | | | | | | | | GROUND_INST: instantiating (30) with all_14_13, all_28_86, e20, % 44.85/7.15 | | | | | | | | | | e22, simplifying with (156), (968) gives: % 44.85/7.15 | | | | | | | | | | (975) all_28_86 = all_14_13 % 44.85/7.15 | | | | | | | | | | % 44.85/7.15 | | | | | | | | | | GROUND_INST: instantiating (30) with all_14_12, all_28_78, e20, % 44.85/7.15 | | | | | | | | | | e23, simplifying with (160), (967) gives: % 44.85/7.15 | | | | | | | | | | (976) all_28_78 = all_14_12 % 44.85/7.15 | | | | | | | | | | % 44.85/7.15 | | | | | | | | | | BETA: splitting (188) gives: % 44.85/7.15 | | | | | | | | | | % 44.85/7.15 | | | | | | | | | | Case 1: % 44.85/7.15 | | | | | | | | | | | % 44.85/7.15 | | | | | | | | | | | (977) all_16_4 = e13 % 44.85/7.15 | | | | | | | | | | | % 44.85/7.15 | | | | | | | | | | | COMBINE_EQS: (621), (977) imply: % 44.85/7.15 | | | | | | | | | | | (978) all_12_1 = e13 % 44.85/7.15 | | | | | | | | | | | % 44.85/7.15 | | | | | | | | | | | SIMP: (978) implies: % 44.85/7.15 | | | | | | | | | | | (979) all_12_1 = e13 % 44.85/7.15 | | | | | | | | | | | % 44.85/7.15 | | | | | | | | | | | REDUCE: (748), (979) imply: % 44.85/7.15 | | | | | | | | | | | (980) $false % 44.85/7.15 | | | | | | | | | | | % 44.85/7.15 | | | | | | | | | | | CLOSE: (980) is inconsistent. % 44.85/7.15 | | | | | | | | | | | % 44.85/7.15 | | | | | | | | | | Case 2: % 44.85/7.15 | | | | | | | | | | | % 44.85/7.15 | | | | | | | | | | | (981) all_16_4 = e12 | all_16_4 = e11 | all_16_4 = e10 % 44.85/7.15 | | | | | | | | | | | % 44.85/7.15 | | | | | | | | | | | BETA: splitting (189) gives: % 44.85/7.15 | | | | | | | | | | | % 44.85/7.15 | | | | | | | | | | | Case 1: % 44.85/7.15 | | | | | | | | | | | | % 44.85/7.15 | | | | | | | | | | | | (982) all_16_3 = e13 % 44.85/7.15 | | | | | | | | | | | | % 44.85/7.15 | | | | | | | | | | | | COMBINE_EQS: (633), (982) imply: % 44.85/7.15 | | | | | | | | | | | | (983) all_12_12 = e13 % 44.85/7.15 | | | | | | | | | | | | % 44.85/7.15 | | | | | | | | | | | | SIMP: (983) implies: % 44.85/7.15 | | | | | | | | | | | | (984) all_12_12 = e13 % 44.85/7.15 | | | | | | | | | | | | % 44.85/7.15 | | | | | | | | | | | | COMBINE_EQS: (570), (984) imply: % 44.85/7.15 | | | | | | | | | | | | (985) all_22_9 = e13 % 44.85/7.15 | | | | | | | | | | | | % 44.85/7.15 | | | | | | | | | | | | COMBINE_EQS: (525), (984) imply: % 44.85/7.15 | | | | | | | | | | | | (986) all_26_25 = e13 % 44.85/7.15 | | | | | | | | | | | | % 44.85/7.15 | | | | | | | | | | | | REDUCE: (71), (984) imply: % 44.85/7.15 | | | | | | | | | | | | (987) ~ (all_12_4 = e13) % 44.85/7.15 | | | | | | | | | | | | % 44.85/7.15 | | | | | | | | | | | | REDUCE: (54), (984) imply: % 44.85/7.15 | | | | | | | | | | | | (988) ~ (all_12_14 = e13) % 44.85/7.15 | | | | | | | | | | | | % 44.85/7.15 | | | | | | | | | | | | SIMP: (988) implies: % 44.85/7.15 | | | | | | | | | | | | (989) ~ (all_12_14 = e13) % 44.85/7.15 | | | | | | | | | | | | % 44.85/7.15 | | | | | | | | | | | | REDUCE: (53), (984) imply: % 44.85/7.15 | | | | | | | | | | | | (990) ~ (all_12_15 = e13) % 44.85/7.15 | | | | | | | | | | | | % 44.85/7.15 | | | | | | | | | | | | SIMP: (990) implies: % 44.85/7.15 | | | | | | | | | | | | (991) ~ (all_12_15 = e13) % 44.85/7.15 | | | | | | | | | | | | % 44.85/7.15 | | | | | | | | | | | | BETA: splitting (191) gives: % 44.85/7.15 | | | | | | | | | | | | % 44.85/7.15 | | | | | | | | | | | | Case 1: % 44.85/7.15 | | | | | | | | | | | | | % 44.85/7.15 | | | | | | | | | | | | | (992) all_16_1 = e13 % 44.85/7.15 | | | | | | | | | | | | | % 44.85/7.15 | | | | | | | | | | | | | COMBINE_EQS: (619), (992) imply: % 44.85/7.15 | | | | | | | | | | | | | (993) all_12_4 = e13 % 44.85/7.15 | | | | | | | | | | | | | % 44.85/7.15 | | | | | | | | | | | | | SIMP: (993) implies: % 44.85/7.15 | | | | | | | | | | | | | (994) all_12_4 = e13 % 44.85/7.15 | | | | | | | | | | | | | % 44.85/7.15 | | | | | | | | | | | | | REDUCE: (987), (994) imply: % 44.85/7.15 | | | | | | | | | | | | | (995) $false % 44.85/7.15 | | | | | | | | | | | | | % 44.85/7.15 | | | | | | | | | | | | | CLOSE: (995) is inconsistent. % 44.85/7.15 | | | | | | | | | | | | | % 44.85/7.15 | | | | | | | | | | | | Case 2: % 44.85/7.15 | | | | | | | | | | | | | % 44.85/7.15 | | | | | | | | | | | | | (996) ~ (all_16_1 = e13) % 44.85/7.15 | | | | | | | | | | | | | (997) all_16_1 = e12 | all_16_1 = e11 | all_16_1 = e10 % 44.85/7.15 | | | | | | | | | | | | | % 44.85/7.15 | | | | | | | | | | | | | BETA: splitting (997) gives: % 44.85/7.15 | | | | | | | | | | | | | % 44.85/7.15 | | | | | | | | | | | | | Case 1: % 44.85/7.15 | | | | | | | | | | | | | | % 44.85/7.15 | | | | | | | | | | | | | | (998) all_16_1 = e11 % 44.85/7.15 | | | | | | | | | | | | | | % 44.85/7.15 | | | | | | | | | | | | | | COMBINE_EQS: (619), (998) imply: % 44.85/7.15 | | | | | | | | | | | | | | (999) all_12_4 = e11 % 44.85/7.15 | | | | | | | | | | | | | | % 44.85/7.15 | | | | | | | | | | | | | | SIMP: (999) implies: % 44.85/7.15 | | | | | | | | | | | | | | (1000) all_12_4 = e11 % 44.85/7.15 | | | | | | | | | | | | | | % 44.85/7.15 | | | | | | | | | | | | | | REDUCE: (859), (1000) imply: % 44.85/7.15 | | | | | | | | | | | | | | (1001) $false % 44.85/7.15 | | | | | | | | | | | | | | % 44.85/7.15 | | | | | | | | | | | | | | CLOSE: (1001) is inconsistent. % 44.85/7.15 | | | | | | | | | | | | | | % 44.85/7.15 | | | | | | | | | | | | | Case 2: % 44.85/7.15 | | | | | | | | | | | | | | % 44.85/7.15 | | | | | | | | | | | | | | (1002) ~ (all_16_1 = e11) % 44.85/7.15 | | | | | | | | | | | | | | (1003) all_16_1 = e12 | all_16_1 = e10 % 44.85/7.15 | | | | | | | | | | | | | | % 44.85/7.15 | | | | | | | | | | | | | | BETA: splitting (272) gives: % 44.85/7.15 | | | | | | | | | | | | | | % 44.85/7.15 | | | | | | | | | | | | | | Case 1: % 44.85/7.15 | | | | | | | | | | | | | | | % 44.85/7.15 | | | | | | | | | | | | | | | (1004) all_22_0 = e12 % 44.85/7.15 | | | | | | | | | | | | | | | % 44.85/7.15 | | | | | | | | | | | | | | | COMBINE_EQS: (573), (1004) imply: % 44.85/7.15 | | | | | | | | | | | | | | | (1005) e12 = e10 % 44.85/7.15 | | | | | | | | | | | | | | | % 44.85/7.15 | | | | | | | | | | | | | | | REDUCE: (891), (1005) imply: % 44.85/7.15 | | | | | | | | | | | | | | | (1006) $false % 44.85/7.15 | | | | | | | | | | | | | | | % 44.85/7.15 | | | | | | | | | | | | | | | CLOSE: (1006) is inconsistent. % 44.85/7.15 | | | | | | | | | | | | | | | % 44.85/7.15 | | | | | | | | | | | | | | Case 2: % 44.85/7.15 | | | | | | | | | | | | | | | % 44.85/7.15 | | | | | | | | | | | | | | | (1007) all_22_1 = e12 | all_22_4 = e12 | all_22_9 = e12 % 44.85/7.15 | | | | | | | | | | | | | | | % 44.85/7.15 | | | | | | | | | | | | | | | BETA: splitting (1007) gives: % 44.85/7.15 | | | | | | | | | | | | | | | % 44.85/7.15 | | | | | | | | | | | | | | | Case 1: % 44.85/7.15 | | | | | | | | | | | | | | | | % 44.85/7.15 | | | | | | | | | | | | | | | | (1008) all_22_1 = e12 % 44.85/7.15 | | | | | | | | | | | | | | | | % 44.85/7.15 | | | | | | | | | | | | | | | | COMBINE_EQS: (559), (1008) imply: % 44.85/7.15 | | | | | | | | | | | | | | | | (1009) all_12_4 = e12 % 44.85/7.15 | | | | | | | | | | | | | | | | % 44.85/7.15 | | | | | | | | | | | | | | | | SIMP: (1009) implies: % 44.85/7.15 | | | | | | | | | | | | | | | | (1010) all_12_4 = e12 % 44.85/7.15 | | | | | | | | | | | | | | | | % 44.85/7.15 | | | | | | | | | | | | | | | | COMBINE_EQS: (521), (1010) imply: % 44.85/7.15 | | | | | | | | | | | | | | | | (1011) all_26_19 = e12 % 44.85/7.15 | | | | | | | | | | | | | | | | % 44.85/7.15 | | | | | | | | | | | | | | | | REDUCE: (75), (1010) imply: % 44.85/7.15 | | | | | | | | | | | | | | | | (1012) ~ (all_12_5 = e12) % 44.85/7.15 | | | | | | | | | | | | | | | | % 44.85/7.15 | | | | | | | | | | | | | | | | SIMP: (1012) implies: % 44.85/7.15 | | | | | | | | | | | | | | | | (1013) ~ (all_12_5 = e12) % 44.85/7.15 | | | | | | | | | | | | | | | | % 44.85/7.15 | | | | | | | | | | | | | | | | REDUCE: (74), (1010) imply: % 44.85/7.15 | | | | | | | | | | | | | | | | (1014) ~ (all_12_6 = e12) % 44.85/7.15 | | | | | | | | | | | | | | | | % 44.85/7.15 | | | | | | | | | | | | | | | | SIMP: (1014) implies: % 44.85/7.15 | | | | | | | | | | | | | | | | (1015) ~ (all_12_6 = e12) % 44.85/7.15 | | | | | | | | | | | | | | | | % 44.85/7.15 | | | | | | | | | | | | | | | | REDUCE: (73), (1010) imply: % 44.85/7.15 | | | | | | | | | | | | | | | | (1016) ~ (all_12_7 = e12) % 44.85/7.15 | | | | | | | | | | | | | | | | % 44.85/7.15 | | | | | | | | | | | | | | | | SIMP: (1016) implies: % 44.85/7.15 | | | | | | | | | | | | | | | | (1017) ~ (all_12_7 = e12) % 44.85/7.15 | | | | | | | | | | | | | | | | % 44.85/7.15 | | | | | | | | | | | | | | | | REDUCE: (987), (1010) imply: % 44.85/7.15 | | | | | | | | | | | | | | | | (1018) ~ (e13 = e12) % 44.85/7.15 | | | | | | | | | | | | | | | | % 44.85/7.15 | | | | | | | | | | | | | | | | SIMP: (1018) implies: % 44.85/7.15 | | | | | | | | | | | | | | | | (1019) ~ (e13 = e12) % 44.85/7.16 | | | | | | | | | | | | | | | | % 44.85/7.16 | | | | | | | | | | | | | | | | REDUCE: (859), (1010) imply: % 44.85/7.16 | | | | | | | | | | | | | | | | (1020) ~ (e12 = e11) % 44.85/7.16 | | | | | | | | | | | | | | | | % 44.85/7.16 | | | | | | | | | | | | | | | | BETA: splitting (182) gives: % 44.85/7.16 | | | | | | | | | | | | | | | | % 44.85/7.16 | | | | | | | | | | | | | | | | Case 1: % 44.85/7.16 | | | | | | | | | | | | | | | | | % 44.85/7.16 | | | | | | | | | | | | | | | | | (1021) all_16_13 = e13 % 44.85/7.16 | | | | | | | | | | | | | | | | | % 44.85/7.16 | | | | | | | | | | | | | | | | | COMBINE_EQS: (638), (1021) imply: % 44.85/7.16 | | | | | | | | | | | | | | | | | (1022) all_12_7 = e13 % 44.85/7.16 | | | | | | | | | | | | | | | | | % 44.85/7.16 | | | | | | | | | | | | | | | | | COMBINE_EQS: (397), (1022) imply: % 44.85/7.16 | | | | | | | | | | | | | | | | | (1023) all_26_21 = e13 % 44.85/7.16 | | | | | | | | | | | | | | | | | % 44.85/7.16 | | | | | | | | | | | | | | | | | REDUCE: (66), (1022) imply: % 44.85/7.16 | | | | | | | | | | | | | | | | | (1024) ~ (all_12_6 = e13) % 44.85/7.16 | | | | | | | | | | | | | | | | | % 44.85/7.16 | | | | | | | | | | | | | | | | | REDUCE: (810), (1022) imply: % 44.85/7.16 | | | | | | | | | | | | | | | | | (1025) op1(e10, e13) = all_26_13 % 44.85/7.16 | | | | | | | | | | | | | | | | | % 44.85/7.16 | | | | | | | | | | | | | | | | | BETA: splitting (266) gives: % 44.85/7.16 | | | | | | | | | | | | | | | | | % 44.85/7.16 | | | | | | | | | | | | | | | | | Case 1: % 44.85/7.16 | | | | | | | | | | | | | | | | | | % 44.85/7.16 | | | | | | | | | | | | | | | | | | (1026) all_22_6 = e13 % 44.85/7.16 | | | | | | | | | | | | | | | | | | % 44.85/7.16 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (554), (1026) imply: % 44.85/7.16 | | | | | | | | | | | | | | | | | | (1027) all_12_2 = e13 % 44.85/7.16 | | | | | | | | | | | | | | | | | | % 44.85/7.16 | | | | | | | | | | | | | | | | | | SIMP: (1027) implies: % 44.85/7.16 | | | | | | | | | | | | | | | | | | (1028) all_12_2 = e13 % 44.85/7.16 | | | | | | | | | | | | | | | | | | % 44.85/7.16 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (535), (1028) imply: % 44.85/7.16 | | | | | | | | | | | | | | | | | | (1029) all_26_17 = e13 % 44.85/7.16 | | | | | | | | | | | | | | | | | | % 44.85/7.16 | | | | | | | | | | | | | | | | | | REDUCE: (82), (1028) imply: % 44.85/7.16 | | | | | | | | | | | | | | | | | | (1030) ~ (all_12_3 = e13) % 44.85/7.16 | | | | | | | | | | | | | | | | | | % 44.85/7.16 | | | | | | | | | | | | | | | | | | SIMP: (1030) implies: % 44.85/7.16 | | | | | | | | | | | | | | | | | | (1031) ~ (all_12_3 = e13) % 44.85/7.16 | | | | | | | | | | | | | | | | | | % 44.85/7.16 | | | | | | | | | | | | | | | | | | REDUCE: (81), (1028) imply: % 44.85/7.16 | | | | | | | | | | | | | | | | | | (1032) ~ (all_12_6 = e13) % 44.85/7.16 | | | | | | | | | | | | | | | | | | % 44.85/7.16 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_12_3, all_26_13, e13, % 44.85/7.16 | | | | | | | | | | | | | | | | | | e10, simplifying with (95), (1025) gives: % 44.85/7.16 | | | | | | | | | | | | | | | | | | (1033) all_26_13 = all_12_3 % 44.85/7.16 | | | | | | | | | | | | | | | | | | % 44.85/7.16 | | | | | | | | | | | | | | | | | | BETA: splitting (183) gives: % 44.85/7.16 | | | | | | | | | | | | | | | | | | % 44.85/7.16 | | | | | | | | | | | | | | | | | | Case 1: % 44.85/7.16 | | | | | | | | | | | | | | | | | | | % 44.85/7.16 | | | | | | | | | | | | | | | | | | | (1034) all_16_12 = e13 % 44.85/7.16 | | | | | | | | | | | | | | | | | | | % 44.85/7.16 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (637), (1034) imply: % 44.85/7.16 | | | | | | | | | | | | | | | | | | | (1035) all_12_3 = e13 % 44.85/7.16 | | | | | | | | | | | | | | | | | | | % 44.85/7.16 | | | | | | | | | | | | | | | | | | | REDUCE: (1031), (1035) imply: % 44.85/7.16 | | | | | | | | | | | | | | | | | | | (1036) $false % 44.85/7.16 | | | | | | | | | | | | | | | | | | | % 44.85/7.16 | | | | | | | | | | | | | | | | | | | CLOSE: (1036) is inconsistent. % 44.85/7.16 | | | | | | | | | | | | | | | | | | | % 44.85/7.16 | | | | | | | | | | | | | | | | | | Case 2: % 44.85/7.16 | | | | | | | | | | | | | | | | | | | % 44.85/7.16 | | | | | | | | | | | | | | | | | | | (1037) all_16_12 = e12 | all_16_12 = e11 | all_16_12 = % 44.85/7.16 | | | | | | | | | | | | | | | | | | | e10 % 44.85/7.16 | | | | | | | | | | | | | | | | | | | % 44.85/7.16 | | | | | | | | | | | | | | | | | | | BETA: splitting (263) gives: % 44.85/7.16 | | | | | | | | | | | | | | | | | | | % 44.85/7.16 | | | | | | | | | | | | | | | | | | | Case 1: % 44.85/7.16 | | | | | | | | | | | | | | | | | | | | % 44.85/7.16 | | | | | | | | | | | | | | | | | | | | (1038) all_22_15 = e10 % 44.85/7.16 | | | | | | | | | | | | | | | | | | | | % 44.85/7.16 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (583), (1038) imply: % 44.85/7.16 | | | | | | | | | | | | | | | | | | | | (1039) all_12_15 = e10 % 44.85/7.16 | | | | | | | | | | | | | | | | | | | | % 44.85/7.16 | | | | | | | | | | | | | | | | | | | | SIMP: (1039) implies: % 44.85/7.16 | | | | | | | | | | | | | | | | | | | | (1040) all_12_15 = e10 % 44.85/7.16 | | | | | | | | | | | | | | | | | | | | % 44.85/7.16 | | | | | | | | | | | | | | | | | | | | REDUCE: (887), (1040) imply: % 44.85/7.16 | | | | | | | | | | | | | | | | | | | | (1041) $false % 44.85/7.16 | | | | | | | | | | | | | | | | | | | | % 44.85/7.16 | | | | | | | | | | | | | | | | | | | | CLOSE: (1041) is inconsistent. % 44.85/7.16 | | | | | | | | | | | | | | | | | | | | % 44.85/7.16 | | | | | | | | | | | | | | | | | | | Case 2: % 44.85/7.16 | | | | | | | | | | | | | | | | | | | | % 44.85/7.16 | | | | | | | | | | | | | | | | | | | | (1042) (all_22_9 = e10 | all_22_10 = e10 | all_22_11 = % 44.85/7.16 | | | | | | | | | | | | | | | | | | | | e10) & (all_22_12 = e10 | all_22_13 = e10 | % 44.85/7.16 | | | | | | | | | | | | | | | | | | | | all_22_14 = e10) % 44.85/7.16 | | | | | | | | | | | | | | | | | | | | % 44.85/7.16 | | | | | | | | | | | | | | | | | | | | ALPHA: (1042) implies: % 44.85/7.16 | | | | | | | | | | | | | | | | | | | | (1043) all_22_9 = e10 | all_22_10 = e10 | all_22_11 = e10 % 44.85/7.16 | | | | | | | | | | | | | | | | | | | | % 44.85/7.16 | | | | | | | | | | | | | | | | | | | | BETA: splitting (270) gives: % 44.85/7.16 | | | | | | | | | | | | | | | | | | | | % 44.85/7.16 | | | | | | | | | | | | | | | | | | | | Case 1: % 44.85/7.16 | | | | | | | | | | | | | | | | | | | | | % 44.85/7.16 | | | | | | | | | | | | | | | | | | | | | (1044) all_22_0 = e11 % 44.85/7.16 | | | | | | | | | | | | | | | | | | | | | % 44.85/7.16 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (573), (1044) imply: % 44.85/7.16 | | | | | | | | | | | | | | | | | | | | | (1045) e11 = e10 % 44.85/7.16 | | | | | | | | | | | | | | | | | | | | | % 44.85/7.16 | | | | | | | | | | | | | | | | | | | | | REDUCE: (893), (1045) imply: % 44.85/7.16 | | | | | | | | | | | | | | | | | | | | | (1046) $false % 44.85/7.16 | | | | | | | | | | | | | | | | | | | | | % 44.85/7.16 | | | | | | | | | | | | | | | | | | | | | CLOSE: (1046) is inconsistent. % 44.85/7.16 | | | | | | | | | | | | | | | | | | | | | % 44.85/7.16 | | | | | | | | | | | | | | | | | | | | Case 2: % 44.85/7.16 | | | | | | | | | | | | | | | | | | | | | % 44.85/7.16 | | | | | | | | | | | | | | | | | | | | | (1047) ~ (all_22_0 = e11) % 44.85/7.16 | | | | | | | | | | | | | | | | | | | | | (1048) all_22_2 = e11 | all_22_6 = e11 | all_22_12 = e11 % 44.85/7.16 | | | | | | | | | | | | | | | | | | | | | % 44.85/7.16 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1048) gives: % 44.85/7.16 | | | | | | | | | | | | | | | | | | | | | % 44.85/7.16 | | | | | | | | | | | | | | | | | | | | | Case 1: % 44.85/7.16 | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.16 | | | | | | | | | | | | | | | | | | | | | | (1049) all_22_2 = e11 % 44.85/7.16 | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.16 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (552), (1049) imply: % 44.85/7.16 | | | | | | | | | | | | | | | | | | | | | | (1050) all_12_1 = e11 % 44.85/7.16 | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.16 | | | | | | | | | | | | | | | | | | | | | | SIMP: (1050) implies: % 44.85/7.16 | | | | | | | | | | | | | | | | | | | | | | (1051) all_12_1 = e11 % 44.85/7.16 | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.16 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (435), (1051) imply: % 44.85/7.16 | | | | | | | | | | | | | | | | | | | | | | (1052) all_26_16 = e11 % 44.85/7.16 | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.16 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (84), (1051) imply: % 44.85/7.16 | | | | | | | | | | | | | | | | | | | | | | (1053) ~ (all_12_5 = e11) % 44.85/7.16 | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.16 | | | | | | | | | | | | | | | | | | | | | | SIMP: (1053) implies: % 44.85/7.16 | | | | | | | | | | | | | | | | | | | | | | (1054) ~ (all_12_5 = e11) % 44.85/7.16 | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.16 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (322) gives: % 44.85/7.16 | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.16 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 44.85/7.16 | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | (1055) (all_26_16 = e12 & all_26_30 = e13 & ~ (all_26_17 % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | = e11) & ~ (all_26_28 = e13)) | (all_26_16 = % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | e12 & all_26_31 = e13 & ~ (all_26_18 = e10) & % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_28 = e13)) | (all_26_17 = e11 & % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | all_26_28 = e13 & ~ (all_26_16 = e12) & ~ % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e13)) | (all_26_17 = e11 & % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | all_26_31 = e13 & ~ (all_26_18 = e10) & ~ % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e13)) | (all_26_18 = e10 & % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | all_26_28 = e13 & ~ (all_26_16 = e12) & ~ % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e13)) | (all_26_18 = e10 & % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | all_26_30 = e13 & ~ (all_26_17 = e11) & ~ % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e13)) | (all_26_19 = e13 & % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | all_26_30 = e12 & ~ (all_26_20 = e11) & ~ % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | (all_26_26 = e12)) | (all_26_19 = e13 & % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | all_26_31 = e12 & ~ (all_26_21 = e10) & ~ % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | (all_26_26 = e12)) | (all_26_20 = e11 & % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | all_26_26 = e12 & ~ (all_26_19 = e13) & ~ % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e12)) | (all_26_20 = e11 & % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | all_26_31 = e12 & ~ (all_26_21 = e10) & ~ % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e12)) | (all_26_21 = e10 & % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | all_26_26 = e12 & ~ (all_26_19 = e13) & ~ % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e12)) | (all_26_21 = e10 & % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | all_26_30 = e12 & ~ (all_26_20 = e11) & ~ % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e12)) % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1055) gives: % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | (1056) (all_26_16 = e12 & all_26_30 = e13 & ~ (all_26_17 % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | = e11) & ~ (all_26_28 = e13)) | (all_26_16 = % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | e12 & all_26_31 = e13 & ~ (all_26_18 = e10) & % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_28 = e13)) | (all_26_17 = e11 & % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | all_26_28 = e13 & ~ (all_26_16 = e12) & ~ % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e13)) | (all_26_17 = e11 & % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | all_26_31 = e13 & ~ (all_26_18 = e10) & ~ % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e13)) | (all_26_18 = e10 & % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | all_26_28 = e13 & ~ (all_26_16 = e12) & ~ % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e13)) | (all_26_18 = e10 & % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | all_26_30 = e13 & ~ (all_26_17 = e11) & ~ % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e13)) % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1056) gives: % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | | (1057) (all_26_16 = e12 & all_26_30 = e13 & ~ (all_26_17 % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | | = e11) & ~ (all_26_28 = e13)) | (all_26_16 = % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | | e12 & all_26_31 = e13 & ~ (all_26_18 = e10) & % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_28 = e13)) | (all_26_17 = e11 & % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | | all_26_28 = e13 & ~ (all_26_16 = e12) & ~ % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e13)) % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1057) gives: % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (1058) all_26_16 = e12 & all_26_30 = e13 & ~ (all_26_17 % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | | | = e11) & ~ (all_26_28 = e13) % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1058) implies: % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (1059) all_26_16 = e12 % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1020), (1052), (1059) are inconsistent by % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #43. % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (1060) (all_26_16 = e12 & all_26_31 = e13 & ~ (all_26_18 % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_26_28 = e13)) | (all_26_17 = % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | | | e11 & all_26_28 = e13 & ~ (all_26_16 = e12) & % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_30 = e13)) % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1060) gives: % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1061) all_26_16 = e12 & all_26_31 = e13 & ~ (all_26_18 % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_26_28 = e13) % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1061) implies: % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1062) all_26_16 = e12 % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1020), (1052), (1062) are inconsistent by % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #43. % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1063) all_26_17 = e11 & all_26_28 = e13 & ~ (all_26_16 % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e12) & ~ (all_26_30 = e13) % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (865), (1029), (1063) are inconsistent by % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #42. % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | | (1064) (all_26_17 = e11 & all_26_31 = e13 & ~ (all_26_18 % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_26_30 = e13)) | (all_26_18 = % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | | e10 & all_26_28 = e13 & ~ (all_26_16 = e12) & % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_31 = e13)) | (all_26_18 = e10 & % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | | all_26_30 = e13 & ~ (all_26_17 = e11) & ~ % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e13)) % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1064) gives: % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (1065) all_26_17 = e11 & all_26_31 = e13 & ~ (all_26_18 % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_26_30 = e13) % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1065) implies: % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (1066) all_26_17 = e11 % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1029), (1066) imply: % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (1067) e13 = e11 % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (865), (1067) imply: % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (1068) $false % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1068) is inconsistent. % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (1069) (all_26_18 = e10 & all_26_28 = e13 & ~ (all_26_16 % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | | | = e12) & ~ (all_26_31 = e13)) | (all_26_18 = % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | | | e10 & all_26_30 = e13 & ~ (all_26_17 = e11) & % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_31 = e13)) % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1069) gives: % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1070) all_26_18 = e10 & all_26_28 = e13 & ~ (all_26_16 % 44.85/7.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e12) & ~ (all_26_31 = e13) % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1070) implies: % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1071) all_26_28 = e13 % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (691), (1071) imply: % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1072) all_12_5 = e13 % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (750), (1072) imply: % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1073) $false % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1073) is inconsistent. % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1074) all_26_18 = e10 & all_26_30 = e13 & ~ (all_26_17 % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e11) & ~ (all_26_31 = e13) % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1074) implies: % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1075) all_26_30 = e13 % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (690), (1075) imply: % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1076) e13 = e12 % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1076) implies: % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1077) e13 = e12 % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1019), (1077) imply: % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1078) $false % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1078) is inconsistent. % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | (1079) (all_26_19 = e13 & all_26_30 = e12 & ~ (all_26_20 % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | = e11) & ~ (all_26_26 = e12)) | (all_26_19 = % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | e13 & all_26_31 = e12 & ~ (all_26_21 = e10) & % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_26 = e12)) | (all_26_20 = e11 & % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | all_26_26 = e12 & ~ (all_26_19 = e13) & ~ % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e12)) | (all_26_20 = e11 & % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | all_26_31 = e12 & ~ (all_26_21 = e10) & ~ % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e12)) | (all_26_21 = e10 & % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | all_26_26 = e12 & ~ (all_26_19 = e13) & ~ % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e12)) | (all_26_21 = e10 & % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | all_26_30 = e12 & ~ (all_26_20 = e11) & ~ % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e12)) % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1079) gives: % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | (1080) (all_26_19 = e13 & all_26_30 = e12 & ~ (all_26_20 % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | = e11) & ~ (all_26_26 = e12)) | (all_26_19 = % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | e13 & all_26_31 = e12 & ~ (all_26_21 = e10) & % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_26 = e12)) | (all_26_20 = e11 & % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | all_26_26 = e12 & ~ (all_26_19 = e13) & ~ % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e12)) % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1080) gives: % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (1081) all_26_19 = e13 & all_26_30 = e12 & ~ (all_26_20 % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | = e11) & ~ (all_26_26 = e12) % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1011), (1019), (1081) are inconsistent by % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #41. % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (1082) (all_26_19 = e13 & all_26_31 = e12 & ~ (all_26_21 % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_26_26 = e12)) | (all_26_20 = % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | e11 & all_26_26 = e12 & ~ (all_26_19 = e13) & % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_30 = e12)) % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1082) gives: % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1083) all_26_19 = e13 & all_26_31 = e12 & ~ (all_26_21 % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_26_26 = e12) % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1011), (1019), (1083) are inconsistent by % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #40. % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1084) all_26_20 = e11 & all_26_26 = e12 & ~ (all_26_19 % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_30 = e12) % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1084) implies: % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1085) all_26_26 = e12 % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (519), (891), (1085) are inconsistent by sub-proof % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | #39. % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | (1086) (all_26_20 = e11 & all_26_31 = e12 & ~ (all_26_21 % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_26_30 = e12)) | (all_26_21 = % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | e10 & all_26_26 = e12 & ~ (all_26_19 = e13) & % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_31 = e12)) | (all_26_21 = e10 & % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | all_26_30 = e12 & ~ (all_26_20 = e11) & ~ % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e12)) % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1086) gives: % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (1087) all_26_20 = e11 & all_26_31 = e12 & ~ (all_26_21 % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_26_30 = e12) % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1087) implies: % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (1088) ~ (all_26_30 = e12) % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (690), (1088) imply: % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (1089) $false % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1089) is inconsistent. % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 44.85/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | (1090) (all_26_21 = e10 & all_26_26 = e12 & ~ (all_26_19 % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_31 = e12)) | (all_26_21 = % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | e10 & all_26_30 = e12 & ~ (all_26_20 = e11) & % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_31 = e12)) % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1090) gives: % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1091) all_26_21 = e10 & all_26_26 = e12 & ~ (all_26_19 % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_31 = e12) % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1091) implies: % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1092) all_26_26 = e12 % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (519), (891), (1092) are inconsistent by sub-proof % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | #39. % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1093) all_26_21 = e10 & all_26_30 = e12 & ~ (all_26_20 % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e11) & ~ (all_26_31 = e12) % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1093) implies: % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1094) all_26_21 = e10 % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1023), (1094) imply: % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1095) e13 = e10 % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1095) implies: % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1096) e13 = e10 % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (889), (1096) imply: % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1097) $false % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1097) is inconsistent. % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | End of split % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | (1098) (all_26_22 = e13 & all_26_28 = e11 & ~ (all_26_23 % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | = e12) & ~ (all_26_26 = e11)) | (all_26_22 = % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | e13 & all_26_31 = e11 & ~ (all_26_24 = e10) & % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_26 = e11)) | (all_26_23 = e12 & % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | all_26_26 = e11 & ~ (all_26_22 = e13) & ~ % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | (all_26_28 = e11)) | (all_26_23 = e12 & % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | all_26_31 = e11 & ~ (all_26_24 = e10) & ~ % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | (all_26_28 = e11)) | (all_26_24 = e10 & % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | all_26_26 = e11 & ~ (all_26_22 = e13) & ~ % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e11)) | (all_26_24 = e10 & % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | all_26_28 = e11 & ~ (all_26_23 = e12) & ~ % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e11)) | (all_26_25 = e13 & % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | all_26_28 = e10 & ~ (all_26_26 = e10) & ~ % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | (all_26_27 = e12)) | (all_26_25 = e13 & % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | all_26_30 = e10 & ~ (all_26_26 = e10) & ~ % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | (all_26_29 = e11)) | (all_26_26 = e10 & % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | all_26_27 = e12 & ~ (all_26_25 = e13) & ~ % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | (all_26_28 = e10)) | (all_26_26 = e10 & % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | all_26_29 = e11 & ~ (all_26_25 = e13) & ~ % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e10)) | (all_26_27 = e12 & % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | all_26_30 = e10 & ~ (all_26_28 = e10) & ~ % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | (all_26_29 = e11)) | (all_26_28 = e10 & % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | all_26_29 = e11 & ~ (all_26_27 = e12) & ~ % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e10)) % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1098) gives: % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | | (1099) (all_26_22 = e13 & all_26_28 = e11 & ~ (all_26_23 % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | | = e12) & ~ (all_26_26 = e11)) | (all_26_22 = % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | | e13 & all_26_31 = e11 & ~ (all_26_24 = e10) & % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_26 = e11)) | (all_26_23 = e12 & % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | | all_26_26 = e11 & ~ (all_26_22 = e13) & ~ % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | | (all_26_28 = e11)) | (all_26_23 = e12 & % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | | all_26_31 = e11 & ~ (all_26_24 = e10) & ~ % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | | (all_26_28 = e11)) | (all_26_24 = e10 & % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | | all_26_26 = e11 & ~ (all_26_22 = e13) & ~ % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e11)) | (all_26_24 = e10 & % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | | all_26_28 = e11 & ~ (all_26_23 = e12) & ~ % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e11)) % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1099) gives: % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | (1100) (all_26_22 = e13 & all_26_28 = e11 & ~ (all_26_23 % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | = e12) & ~ (all_26_26 = e11)) | (all_26_22 = % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | e13 & all_26_31 = e11 & ~ (all_26_24 = e10) & % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_26 = e11)) | (all_26_23 = e12 & % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | all_26_26 = e11 & ~ (all_26_22 = e13) & ~ % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_28 = e11)) % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1100) gives: % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | (1101) all_26_22 = e13 & all_26_28 = e11 & ~ (all_26_23 % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | = e12) & ~ (all_26_26 = e11) % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1101) implies: % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | (1102) all_26_22 = e13 % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (858), (865), (1102) are inconsistent by sub-proof % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | #38. % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | (1103) (all_26_22 = e13 & all_26_31 = e11 & ~ (all_26_24 % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_26_26 = e11)) | (all_26_23 = % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | e12 & all_26_26 = e11 & ~ (all_26_22 = e13) & % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_28 = e11)) % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1103) gives: % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 44.85/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1104) all_26_22 = e13 & all_26_31 = e11 & ~ (all_26_24 % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_26_26 = e11) % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1104) implies: % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1105) all_26_22 = e13 % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (858), (865), (1105) are inconsistent by sub-proof % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | #38. % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1106) all_26_23 = e12 & all_26_26 = e11 & ~ (all_26_22 % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_28 = e11) % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1106) implies: % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1107) all_26_26 = e11 % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (519), (893), (1107) are inconsistent by sub-proof % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | #37. % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | (1108) (all_26_23 = e12 & all_26_31 = e11 & ~ (all_26_24 % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_26_28 = e11)) | (all_26_24 = % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | e10 & all_26_26 = e11 & ~ (all_26_22 = e13) & % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_31 = e11)) | (all_26_24 = e10 & % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | all_26_28 = e11 & ~ (all_26_23 = e12) & ~ % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e11)) % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1108) gives: % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (1109) all_26_23 = e12 & all_26_31 = e11 & ~ (all_26_24 % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_26_28 = e11) % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (693), (1019), (1109) are inconsistent by % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #36. % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (1110) (all_26_24 = e10 & all_26_26 = e11 & ~ (all_26_22 % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_31 = e11)) | (all_26_24 = % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | e10 & all_26_28 = e11 & ~ (all_26_23 = e12) & % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_31 = e11)) % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1110) gives: % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1111) all_26_24 = e10 & all_26_26 = e11 & ~ (all_26_22 % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_31 = e11) % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1111) implies: % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1112) all_26_26 = e11 % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (519), (893), (1112) are inconsistent by sub-proof % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | #37. % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1113) all_26_24 = e10 & all_26_28 = e11 & ~ (all_26_23 % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e12) & ~ (all_26_31 = e11) % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1113) implies: % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1114) all_26_28 = e11 % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (691), (1114) imply: % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1115) all_12_5 = e11 % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1054), (1115) imply: % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1116) $false % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1116) is inconsistent. % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | (1117) (all_26_25 = e13 & all_26_28 = e10 & ~ (all_26_26 % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_26_27 = e12)) | (all_26_25 = % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | e13 & all_26_30 = e10 & ~ (all_26_26 = e10) & % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_29 = e11)) | (all_26_26 = e10 & % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | all_26_27 = e12 & ~ (all_26_25 = e13) & ~ % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | (all_26_28 = e10)) | (all_26_26 = e10 & % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | all_26_29 = e11 & ~ (all_26_25 = e13) & ~ % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e10)) | (all_26_27 = e12 & % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | all_26_30 = e10 & ~ (all_26_28 = e10) & ~ % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | (all_26_29 = e11)) | (all_26_28 = e10 & % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | all_26_29 = e11 & ~ (all_26_27 = e12) & ~ % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e10)) % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1117) gives: % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | (1118) (all_26_25 = e13 & all_26_28 = e10 & ~ (all_26_26 % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_26_27 = e12)) | (all_26_25 = % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | e13 & all_26_30 = e10 & ~ (all_26_26 = e10) & % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_29 = e11)) | (all_26_26 = e10 & % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | all_26_27 = e12 & ~ (all_26_25 = e13) & ~ % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_28 = e10)) % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1118) gives: % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (1119) all_26_25 = e13 & all_26_28 = e10 & ~ (all_26_26 % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_26_27 = e12) % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1119) implies: % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (1120) ~ (all_26_26 = e10) % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (519), (1120) imply: % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (1121) $false % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1121) is inconsistent. % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (1122) (all_26_25 = e13 & all_26_30 = e10 & ~ (all_26_26 % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_26_29 = e11)) | (all_26_26 = % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | e10 & all_26_27 = e12 & ~ (all_26_25 = e13) & % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_28 = e10)) % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1122) gives: % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 44.85/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1123) all_26_25 = e13 & all_26_30 = e10 & ~ (all_26_26 % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_26_29 = e11) % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1123) implies: % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1124) all_26_30 = e10 % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (690), (1124) imply: % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1125) e12 = e10 % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (891), (1125) imply: % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1126) $false % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1126) is inconsistent. % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1127) all_26_26 = e10 & all_26_27 = e12 & ~ (all_26_25 % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_28 = e10) % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1127) implies: % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1128) ~ (all_26_25 = e13) % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (986), (1128) imply: % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1129) $false % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1129) is inconsistent. % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | (1130) (all_26_26 = e10 & all_26_29 = e11 & ~ (all_26_25 % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_30 = e10)) | (all_26_27 = % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | e12 & all_26_30 = e10 & ~ (all_26_28 = e10) & % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_29 = e11)) | (all_26_28 = e10 & % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | all_26_29 = e11 & ~ (all_26_27 = e12) & ~ % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e10)) % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1130) gives: % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (1131) all_26_26 = e10 & all_26_29 = e11 & ~ (all_26_25 % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_30 = e10) % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1131) implies: % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (1132) ~ (all_26_25 = e13) % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (986), (1132) imply: % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (1133) $false % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1133) is inconsistent. % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (1134) (all_26_27 = e12 & all_26_30 = e10 & ~ (all_26_28 % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_26_29 = e11)) | (all_26_28 = % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | | e10 & all_26_29 = e11 & ~ (all_26_27 = e12) & % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_30 = e10)) % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1134) gives: % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1135) all_26_27 = e12 & all_26_30 = e10 & ~ (all_26_28 % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_26_29 = e11) % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1135) implies: % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1136) all_26_30 = e10 % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (690), (1136) imply: % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1137) e12 = e10 % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (891), (1137) imply: % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1138) $false % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1138) is inconsistent. % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1139) all_26_28 = e10 & all_26_29 = e11 & ~ (all_26_27 % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e12) & ~ (all_26_30 = e10) % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1139) implies: % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1140) all_26_29 = e11 % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1141) all_26_28 = e10 % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (691), (1141) imply: % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1142) all_12_5 = e10 % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (405), (1140) imply: % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1143) all_12_14 = e11 % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (578), (1143) imply: % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1144) all_22_11 = e11 % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (67), (1142) imply: % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1145) ~ (all_12_13 = e10) % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1145) implies: % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1146) ~ (all_12_13 = e10) % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (421), (889), (893), (985), (1043), (1144), (1146) % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #35. % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | End of split % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | End of split % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | Case 2: % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | (1147) ~ (all_22_2 = e11) % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (552), (1147) imply: % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | (1148) ~ (all_12_1 = e11) % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1037) gives: % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | (1149) all_16_12 = e11 % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (637), (1149) imply: % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | (1150) all_12_3 = e11 % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (401), (1150) imply: % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | (1151) all_26_18 = e11 % 44.85/7.21 | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1033), (1150) imply: % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | (1152) all_26_13 = e11 % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (271) gives: % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | (1153) all_22_0 = e12 % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (573), (1153) imply: % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | (1154) e12 = e10 % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (891), (1154) imply: % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | (1155) $false % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1155) is inconsistent. % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | (1156) ~ (all_22_0 = e12) % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | (1157) all_22_2 = e12 | all_22_6 = e12 | all_22_12 = e12 % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (981) gives: % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | (1158) all_16_4 = e11 % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (621), (1148), (1158) are inconsistent by % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #34. % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | (1159) ~ (all_16_4 = e11) % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | (1160) all_16_4 = e12 | all_16_4 = e10 % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (323) gives: % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (1161) (all_26_0 = e13 & all_26_1 = e12 & all_26_2 = e11 % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | & all_26_3 = e10 & ( ~ (all_26_16 = e12) | % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_28 = e13) & ( ~ (all_26_17 = e11) | % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_30 = e13) & ( ~ (all_26_18 = e10) | % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_31 = e13)) | (all_26_4 = e13 & all_26_5 % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | = e12 & all_26_6 = e11 & all_26_7 = e10 & ( ~ % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_19 = e13) | all_26_26 = e12) & ( ~ % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_20 = e11) | all_26_30 = e12) & ( ~ % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_21 = e10) | all_26_31 = e12)) % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1161) gives: % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1162) all_26_0 = e13 & all_26_1 = e12 & all_26_2 = e11 & % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_3 = e10 & ( ~ (all_26_16 = e12) | all_26_28 % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ( ~ (all_26_17 = e11) | all_26_30 = % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ( ~ (all_26_18 = e10) | all_26_31 = e13) % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1162) implies: % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1163) ~ (all_26_16 = e12) | all_26_28 = e13 % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1157) gives: % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1164) all_22_2 = e12 % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (552), (1164) imply: % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1165) all_12_1 = e12 % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1165) implies: % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1166) all_12_1 = e12 % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (435), (1166) imply: % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1167) all_26_16 = e12 % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1163) gives: % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1168) ~ (all_26_16 = e12) % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1167), (1168) imply: % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1169) $false % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1169) is inconsistent. % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1170) all_26_28 = e13 % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (691), (1170) imply: % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1171) all_12_5 = e13 % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (750), (1171) imply: % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1172) $false % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1172) is inconsistent. % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1173) ~ (all_22_2 = e12) % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (552), (1173) imply: % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1174) ~ (all_12_1 = e12) % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (621), (739), (1160), (1174) are inconsistent by % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #33. % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1175) all_26_4 = e13 & all_26_5 = e12 & all_26_6 = e11 & % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_7 = e10 & ( ~ (all_26_19 = e13) | all_26_26 % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e12) & ( ~ (all_26_20 = e11) | all_26_30 = % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | e12) & ( ~ (all_26_21 = e10) | all_26_31 = e12) % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (898), (1148), (1175) are inconsistent by % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #32. % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (1176) (all_26_8 = e13 & all_26_9 = e12 & all_26_10 = e11 % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | & all_26_11 = e10 & ( ~ (all_26_22 = e13) | % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_26 = e11) & ( ~ (all_26_23 = e12) | % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_28 = e11) & ( ~ (all_26_24 = e10) | % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_31 = e11)) | (all_26_12 = e13 & % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_13 = e12 & all_26_14 = e11 & all_26_15 = % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | e10 & ( ~ (all_26_25 = e13) | all_26_26 = e10) & % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_27 = e12) | all_26_28 = e10) & ( ~ % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_29 = e11) | all_26_30 = e10)) % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1176) gives: % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 44.85/7.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1177) all_26_8 = e13 & all_26_9 = e12 & all_26_10 = e11 % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_26_11 = e10 & ( ~ (all_26_22 = e13) | % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_26 = e11) & ( ~ (all_26_23 = e12) | % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_28 = e11) & ( ~ (all_26_24 = e10) | % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_31 = e11) % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1177) implies: % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1178) all_26_10 = e11 % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1179) ~ (all_26_24 = e10) | all_26_31 = e11 % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (897), (1178) imply: % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1180) all_12_6 = e11 % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1180) implies: % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1181) all_12_6 = e11 % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (70), (1181) imply: % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1182) ~ (all_12_5 = e11) % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (65), (1181) imply: % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1183) ~ (all_12_14 = e11) % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1183) implies: % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1184) ~ (all_12_14 = e11) % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (322) gives: % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1185) (all_26_16 = e12 & all_26_30 = e13 & ~ (all_26_17 % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e11) & ~ (all_26_28 = e13)) | (all_26_16 = % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12 & all_26_31 = e13 & ~ (all_26_18 = e10) & % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_28 = e13)) | (all_26_17 = e11 & % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_28 = e13 & ~ (all_26_16 = e12) & ~ % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e13)) | (all_26_17 = e11 & % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_31 = e13 & ~ (all_26_18 = e10) & ~ % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e13)) | (all_26_18 = e10 & % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_28 = e13 & ~ (all_26_16 = e12) & ~ % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e13)) | (all_26_18 = e10 & % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_30 = e13 & ~ (all_26_17 = e11) & ~ % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e13)) | (all_26_19 = e13 & % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_30 = e12 & ~ (all_26_20 = e11) & ~ % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_26 = e12)) | (all_26_19 = e13 & % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_31 = e12 & ~ (all_26_21 = e10) & ~ % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_26 = e12)) | (all_26_20 = e11 & % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_26 = e12 & ~ (all_26_19 = e13) & ~ % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e12)) | (all_26_20 = e11 & % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_31 = e12 & ~ (all_26_21 = e10) & ~ % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e12)) | (all_26_21 = e10 & % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_26 = e12 & ~ (all_26_19 = e13) & ~ % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e12)) | (all_26_21 = e10 & % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_30 = e12 & ~ (all_26_20 = e11) & ~ % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e12)) % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1185) gives: % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1186) (all_26_16 = e12 & all_26_30 = e13 & ~ (all_26_17 % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e11) & ~ (all_26_28 = e13)) | (all_26_16 = % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12 & all_26_31 = e13 & ~ (all_26_18 = e10) & % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_28 = e13)) | (all_26_17 = e11 & % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_28 = e13 & ~ (all_26_16 = e12) & ~ % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e13)) | (all_26_17 = e11 & % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_31 = e13 & ~ (all_26_18 = e10) & ~ % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e13)) | (all_26_18 = e10 & % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_28 = e13 & ~ (all_26_16 = e12) & ~ % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e13)) | (all_26_18 = e10 & % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_30 = e13 & ~ (all_26_17 = e11) & ~ % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e13)) % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1186) gives: % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1187) (all_26_16 = e12 & all_26_30 = e13 & ~ (all_26_17 % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e11) & ~ (all_26_28 = e13)) | (all_26_16 = % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12 & all_26_31 = e13 & ~ (all_26_18 = e10) & % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_28 = e13)) | (all_26_17 = e11 & % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_28 = e13 & ~ (all_26_16 = e12) & ~ % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e13)) % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1187) gives: % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1188) all_26_16 = e12 & all_26_30 = e13 & ~ (all_26_17 % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e11) & ~ (all_26_28 = e13) % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (690), (1019), (1188) are inconsistent by % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #31. % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1189) (all_26_16 = e12 & all_26_31 = e13 & ~ (all_26_18 % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_26_28 = e13)) | (all_26_17 = % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11 & all_26_28 = e13 & ~ (all_26_16 = e12) & % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_30 = e13)) % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1189) gives: % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1190) all_26_16 = e12 & all_26_31 = e13 & ~ (all_26_18 % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_26_28 = e13) % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1190) implies: % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1191) all_26_31 = e13 % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (865), (883), (1179), (1191) are inconsistent by % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #30. % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1192) all_26_17 = e11 & all_26_28 = e13 & ~ (all_26_16 % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e12) & ~ (all_26_30 = e13) % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (865), (1029), (1192) are inconsistent by % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #42. % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 44.85/7.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1193) (all_26_17 = e11 & all_26_31 = e13 & ~ (all_26_18 % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_26_30 = e13)) | (all_26_18 = % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10 & all_26_28 = e13 & ~ (all_26_16 = e12) & % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_31 = e13)) | (all_26_18 = e10 & % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_30 = e13 & ~ (all_26_17 = e11) & ~ % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e13)) % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1193) gives: % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1194) all_26_17 = e11 & all_26_31 = e13 & ~ (all_26_18 % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_26_30 = e13) % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1194) implies: % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1195) all_26_31 = e13 % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (865), (883), (1179), (1195) are inconsistent by % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #30. % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1196) (all_26_18 = e10 & all_26_28 = e13 & ~ (all_26_16 % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e12) & ~ (all_26_31 = e13)) | (all_26_18 = % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10 & all_26_30 = e13 & ~ (all_26_17 = e11) & % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_31 = e13)) % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1196) gives: % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1197) all_26_18 = e10 & all_26_28 = e13 & ~ (all_26_16 % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e12) & ~ (all_26_31 = e13) % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1197) implies: % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1198) all_26_18 = e10 % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (893), (1151), (1198) are inconsistent by % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #29. % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1199) all_26_18 = e10 & all_26_30 = e13 & ~ (all_26_17 % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e11) & ~ (all_26_31 = e13) % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1199) implies: % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1200) all_26_18 = e10 % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (893), (1151), (1200) are inconsistent by % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #29. % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1201) (all_26_19 = e13 & all_26_30 = e12 & ~ (all_26_20 % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e11) & ~ (all_26_26 = e12)) | (all_26_19 = % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13 & all_26_31 = e12 & ~ (all_26_21 = e10) & % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_26 = e12)) | (all_26_20 = e11 & % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_26 = e12 & ~ (all_26_19 = e13) & ~ % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e12)) | (all_26_20 = e11 & % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_31 = e12 & ~ (all_26_21 = e10) & ~ % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e12)) | (all_26_21 = e10 & % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_26 = e12 & ~ (all_26_19 = e13) & ~ % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e12)) | (all_26_21 = e10 & % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_30 = e12 & ~ (all_26_20 = e11) & ~ % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e12)) % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1201) gives: % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1202) (all_26_19 = e13 & all_26_30 = e12 & ~ (all_26_20 % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e11) & ~ (all_26_26 = e12)) | (all_26_19 = % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13 & all_26_31 = e12 & ~ (all_26_21 = e10) & % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_26 = e12)) | (all_26_20 = e11 & % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_26 = e12 & ~ (all_26_19 = e13) & ~ % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e12)) % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1202) gives: % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1203) all_26_19 = e13 & all_26_30 = e12 & ~ (all_26_20 % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e11) & ~ (all_26_26 = e12) % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1011), (1019), (1203) are inconsistent by % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #41. % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1204) (all_26_19 = e13 & all_26_31 = e12 & ~ (all_26_21 % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_26_26 = e12)) | (all_26_20 = % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11 & all_26_26 = e12 & ~ (all_26_19 = e13) & % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_30 = e12)) % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1204) gives: % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1205) all_26_19 = e13 & all_26_31 = e12 & ~ (all_26_21 % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_26_26 = e12) % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1011), (1019), (1205) are inconsistent by % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #40. % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1206) all_26_20 = e11 & all_26_26 = e12 & ~ (all_26_19 % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_30 = e12) % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (519), (891), (1206) are inconsistent by sub-proof % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #28. % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1207) (all_26_20 = e11 & all_26_31 = e12 & ~ (all_26_21 % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_26_30 = e12)) | (all_26_21 = % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10 & all_26_26 = e12 & ~ (all_26_19 = e13) & % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_31 = e12)) | (all_26_21 = e10 & % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_30 = e12 & ~ (all_26_20 = e11) & ~ % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e12)) % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1207) gives: % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1208) all_26_20 = e11 & all_26_31 = e12 & ~ (all_26_21 % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_26_30 = e12) % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1208) implies: % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1209) ~ (all_26_30 = e12) % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (690), (1209) imply: % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1210) $false % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1210) is inconsistent. % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1211) (all_26_21 = e10 & all_26_26 = e12 & ~ (all_26_19 % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_31 = e12)) | (all_26_21 = % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10 & all_26_30 = e12 & ~ (all_26_20 = e11) & % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_31 = e12)) % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1211) gives: % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1212) all_26_21 = e10 & all_26_26 = e12 & ~ (all_26_19 % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_31 = e12) % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1212) implies: % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1213) all_26_26 = e12 % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (519), (1213) imply: % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1214) e12 = e10 % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (891), (1214) imply: % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1215) $false % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1215) is inconsistent. % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1216) all_26_21 = e10 & all_26_30 = e12 & ~ (all_26_20 % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e11) & ~ (all_26_31 = e12) % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1216) implies: % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1217) all_26_21 = e10 % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1023), (1217) imply: % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1218) e13 = e10 % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (889), (1218) imply: % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1219) $false % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1219) is inconsistent. % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1220) (all_26_22 = e13 & all_26_28 = e11 & ~ (all_26_23 % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e12) & ~ (all_26_26 = e11)) | (all_26_22 = % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13 & all_26_31 = e11 & ~ (all_26_24 = e10) & % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_26 = e11)) | (all_26_23 = e12 & % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_26 = e11 & ~ (all_26_22 = e13) & ~ % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_28 = e11)) | (all_26_23 = e12 & % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_31 = e11 & ~ (all_26_24 = e10) & ~ % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_28 = e11)) | (all_26_24 = e10 & % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_26 = e11 & ~ (all_26_22 = e13) & ~ % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e11)) | (all_26_24 = e10 & % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_28 = e11 & ~ (all_26_23 = e12) & ~ % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e11)) | (all_26_25 = e13 & % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_28 = e10 & ~ (all_26_26 = e10) & ~ % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_27 = e12)) | (all_26_25 = e13 & % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_30 = e10 & ~ (all_26_26 = e10) & ~ % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_29 = e11)) | (all_26_26 = e10 & % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_27 = e12 & ~ (all_26_25 = e13) & ~ % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_28 = e10)) | (all_26_26 = e10 & % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_29 = e11 & ~ (all_26_25 = e13) & ~ % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e10)) | (all_26_27 = e12 & % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_30 = e10 & ~ (all_26_28 = e10) & ~ % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_29 = e11)) | (all_26_28 = e10 & % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_29 = e11 & ~ (all_26_27 = e12) & ~ % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e10)) % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1220) gives: % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1221) (all_26_22 = e13 & all_26_28 = e11 & ~ (all_26_23 % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e12) & ~ (all_26_26 = e11)) | (all_26_22 = % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13 & all_26_31 = e11 & ~ (all_26_24 = e10) & % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_26 = e11)) | (all_26_23 = e12 & % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_26 = e11 & ~ (all_26_22 = e13) & ~ % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_28 = e11)) | (all_26_23 = e12 & % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_31 = e11 & ~ (all_26_24 = e10) & ~ % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_28 = e11)) | (all_26_24 = e10 & % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_26 = e11 & ~ (all_26_22 = e13) & ~ % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e11)) | (all_26_24 = e10 & % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_28 = e11 & ~ (all_26_23 = e12) & ~ % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e11)) % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1221) gives: % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1222) (all_26_22 = e13 & all_26_28 = e11 & ~ (all_26_23 % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e12) & ~ (all_26_26 = e11)) | (all_26_22 = % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13 & all_26_31 = e11 & ~ (all_26_24 = e10) & % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_26 = e11)) | (all_26_23 = e12 & % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_26 = e11 & ~ (all_26_22 = e13) & ~ % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_28 = e11)) % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1222) gives: % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1223) all_26_22 = e13 & all_26_28 = e11 & ~ (all_26_23 % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e12) & ~ (all_26_26 = e11) % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1223) implies: % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1224) all_26_22 = e13 % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (858), (865), (1224) are inconsistent by sub-proof % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #38. % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1225) (all_26_22 = e13 & all_26_31 = e11 & ~ (all_26_24 % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_26_26 = e11)) | (all_26_23 = % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12 & all_26_26 = e11 & ~ (all_26_22 = e13) & % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_28 = e11)) % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (519), (858), (865), (893), (1225) are % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #27. % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1226) (all_26_23 = e12 & all_26_31 = e11 & ~ (all_26_24 % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_26_28 = e11)) | (all_26_24 = % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10 & all_26_26 = e11 & ~ (all_26_22 = e13) & % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_31 = e11)) | (all_26_24 = e10 & % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_28 = e11 & ~ (all_26_23 = e12) & ~ % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e11)) % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1226) gives: % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1227) all_26_23 = e12 & all_26_31 = e11 & ~ (all_26_24 % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_26_28 = e11) % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (693), (1019), (1227) are inconsistent by % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #36. % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 44.85/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1228) (all_26_24 = e10 & all_26_26 = e11 & ~ (all_26_22 % 45.25/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_31 = e11)) | (all_26_24 = % 45.25/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10 & all_26_28 = e11 & ~ (all_26_23 = e12) & % 45.25/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_31 = e11)) % 45.25/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1228) gives: % 45.25/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.25/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1229) all_26_24 = e10 & all_26_26 = e11 & ~ (all_26_22 % 45.25/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_31 = e11) % 45.25/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (519), (893), (1229) are inconsistent by sub-proof % 45.25/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #26. % 45.25/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.25/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1230) all_26_24 = e10 & all_26_28 = e11 & ~ (all_26_23 % 45.25/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e12) & ~ (all_26_31 = e11) % 45.25/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1230) implies: % 45.25/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1231) all_26_28 = e11 % 45.25/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (691), (1231) imply: % 45.25/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1232) all_12_5 = e11 % 45.25/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1232) implies: % 45.25/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1233) all_12_5 = e11 % 45.25/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1182), (1233) imply: % 45.25/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1234) $false % 45.25/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1234) is inconsistent. % 45.25/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.25/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.25/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.25/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.25/7.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1235) (all_26_25 = e13 & all_26_28 = e10 & ~ (all_26_26 % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_26_27 = e12)) | (all_26_25 = % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13 & all_26_30 = e10 & ~ (all_26_26 = e10) & % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_29 = e11)) | (all_26_26 = e10 & % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_27 = e12 & ~ (all_26_25 = e13) & ~ % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_28 = e10)) | (all_26_26 = e10 & % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_29 = e11 & ~ (all_26_25 = e13) & ~ % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e10)) | (all_26_27 = e12 & % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_30 = e10 & ~ (all_26_28 = e10) & ~ % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_29 = e11)) | (all_26_28 = e10 & % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_29 = e11 & ~ (all_26_27 = e12) & ~ % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e10)) % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1235) gives: % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1236) (all_26_25 = e13 & all_26_28 = e10 & ~ (all_26_26 % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_26_27 = e12)) | (all_26_25 = % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13 & all_26_30 = e10 & ~ (all_26_26 = e10) & % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_29 = e11)) | (all_26_26 = e10 & % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_27 = e12 & ~ (all_26_25 = e13) & ~ % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_28 = e10)) % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1236) gives: % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1237) all_26_25 = e13 & all_26_28 = e10 & ~ (all_26_26 % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_26_27 = e12) % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1237) implies: % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1238) ~ (all_26_26 = e10) % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (519), (1238) imply: % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1239) $false % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1239) is inconsistent. % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1240) (all_26_25 = e13 & all_26_30 = e10 & ~ (all_26_26 % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_26_29 = e11)) | (all_26_26 = % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10 & all_26_27 = e12 & ~ (all_26_25 = e13) & % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_28 = e10)) % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1240) gives: % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1241) all_26_25 = e13 & all_26_30 = e10 & ~ (all_26_26 % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_26_29 = e11) % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1241) implies: % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1242) all_26_30 = e10 % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (690), (891), (1242) are inconsistent by sub-proof % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #25. % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1243) all_26_26 = e10 & all_26_27 = e12 & ~ (all_26_25 % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_28 = e10) % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1243) implies: % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1244) ~ (all_26_25 = e13) % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (986), (1244) imply: % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1245) $false % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1245) is inconsistent. % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1246) (all_26_26 = e10 & all_26_29 = e11 & ~ (all_26_25 % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_30 = e10)) | (all_26_27 = % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12 & all_26_30 = e10 & ~ (all_26_28 = e10) & % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_29 = e11)) | (all_26_28 = e10 & % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_29 = e11 & ~ (all_26_27 = e12) & ~ % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e10)) % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1246) gives: % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1247) all_26_26 = e10 & all_26_29 = e11 & ~ (all_26_25 % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_30 = e10) % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1247) implies: % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1248) all_26_29 = e11 % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (405), (1184), (1248) are inconsistent by % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #24. % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1249) (all_26_27 = e12 & all_26_30 = e10 & ~ (all_26_28 % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_26_29 = e11)) | (all_26_28 = % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10 & all_26_29 = e11 & ~ (all_26_27 = e12) & % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_30 = e10)) % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1249) gives: % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1250) all_26_27 = e12 & all_26_30 = e10 & ~ (all_26_28 % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_26_29 = e11) % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1250) implies: % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1251) all_26_30 = e10 % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (690), (891), (1251) are inconsistent by sub-proof % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #25. % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1252) all_26_28 = e10 & all_26_29 = e11 & ~ (all_26_27 % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e12) & ~ (all_26_30 = e10) % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1252) implies: % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1253) all_26_29 = e11 % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (405), (1184), (1253) are inconsistent by % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #24. % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1254) all_26_12 = e13 & all_26_13 = e12 & all_26_14 = % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | e11 & all_26_15 = e10 & ( ~ (all_26_25 = e13) | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_26 = e10) & ( ~ (all_26_27 = e12) | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_28 = e10) & ( ~ (all_26_29 = e11) | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_30 = e10) % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1254) implies: % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1255) all_26_13 = e12 % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1152), (1255) imply: % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1256) e12 = e11 % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1256) implies: % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1257) e12 = e11 % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1020), (1257) imply: % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1258) $false % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1258) is inconsistent. % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | (1259) all_16_12 = e12 | all_16_12 = e10 % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (981) gives: % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | (1260) all_16_4 = e11 % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (621), (1148), (1260) are inconsistent by % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #34. % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | (1261) all_16_4 = e12 | all_16_4 = e10 % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1259) gives: % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | (1262) all_16_12 = e12 % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (637), (1262) imply: % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | (1263) all_12_3 = e12 % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (85), (1263) imply: % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | (1264) ~ (all_12_1 = e12) % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (621), (739), (1261), (1264) are inconsistent by % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #33. % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | (1265) all_16_12 = e10 % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (637), (1265) imply: % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | (1266) all_12_3 = e10 % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (884), (1266) imply: % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | (1267) $false % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1267) is inconsistent. % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | End of split % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | End of split % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | End of split % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | End of split % 45.25/7.26 | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | End of split % 45.25/7.26 | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | Case 2: % 45.25/7.26 | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | (1268) ~ (all_22_6 = e13) % 45.25/7.26 | | | | | | | | | | | | | | | | | | (1269) all_22_7 = e13 | all_22_8 = e13 | all_22_11 = e13 % 45.25/7.26 | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | REDUCE: (554), (1268) imply: % 45.25/7.26 | | | | | | | | | | | | | | | | | | (1270) ~ (all_12_2 = e13) % 45.25/7.26 | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | BETA: splitting (186) gives: % 45.25/7.26 | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | Case 1: % 45.25/7.26 | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | (1271) all_16_8 = e13 % 45.25/7.26 | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (627), (1271) imply: % 45.25/7.26 | | | | | | | | | | | | | | | | | | | (1272) all_12_2 = e13 % 45.25/7.26 | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | REDUCE: (1270), (1272) imply: % 45.25/7.26 | | | | | | | | | | | | | | | | | | | (1273) $false % 45.25/7.26 | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | CLOSE: (1273) is inconsistent. % 45.25/7.26 | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | Case 2: % 45.25/7.26 | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | (1274) all_16_8 = e12 | all_16_8 = e11 | all_16_8 = e10 % 45.25/7.26 | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | BETA: splitting (1274) gives: % 45.25/7.26 | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | Case 1: % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | (1275) all_16_8 = e11 % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (627), (1275) imply: % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | (1276) all_12_2 = e11 % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | REDUCE: (81), (1276) imply: % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | (1277) ~ (all_12_6 = e11) % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | SIMP: (1277) implies: % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | (1278) ~ (all_12_6 = e11) % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | BETA: splitting (185) gives: % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | Case 1: % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | (1279) all_16_9 = e13 % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (629), (1279) imply: % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | (1280) all_12_6 = e13 % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | SIMP: (1280) implies: % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | (1281) all_12_6 = e13 % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | REDUCE: (1024), (1281) imply: % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | (1282) $false % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | CLOSE: (1282) is inconsistent. % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | Case 2: % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | (1283) all_16_9 = e12 | all_16_9 = e11 | all_16_9 = e10 % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1283) gives: % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | (1284) all_16_9 = e11 % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (629), (1278), (1284) are inconsistent by % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | sub-proof #23. % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | (1285) all_16_9 = e12 | all_16_9 = e10 % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1285) gives: % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.25/7.26 | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | (1286) all_16_9 = e12 % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (629), (1286) imply: % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | (1287) all_12_6 = e12 % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1015), (1287) imply: % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | (1288) $false % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1288) is inconsistent. % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | (1289) all_16_9 = e10 % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (629), (1289) imply: % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | (1290) all_12_6 = e10 % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (560), (1290) imply: % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | (1291) all_22_7 = e10 % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (409), (578), (889), (989), (1019), (1269), (1291) % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #22. % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | End of split % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | End of split % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | End of split % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | | | Case 2: % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | (1292) all_16_8 = e12 | all_16_8 = e10 % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (627), (741), (749), (1292) are inconsistent by % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | sub-proof #21. % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | | | End of split % 45.25/7.27 | | | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | | End of split % 45.25/7.27 | | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | End of split % 45.25/7.27 | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | Case 2: % 45.25/7.27 | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | (1293) ~ (all_16_13 = e13) % 45.25/7.27 | | | | | | | | | | | | | | | | | (1294) all_16_13 = e12 | all_16_13 = e11 | all_16_13 = % 45.25/7.27 | | | | | | | | | | | | | | | | | e10 % 45.25/7.27 | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | REDUCE: (638), (1293) imply: % 45.25/7.27 | | | | | | | | | | | | | | | | | (1295) ~ (all_12_7 = e13) % 45.25/7.27 | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | BETA: splitting (1294) gives: % 45.25/7.27 | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | Case 1: % 45.25/7.27 | | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | | (1296) all_16_13 = e11 % 45.25/7.27 | | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (638), (1296) imply: % 45.25/7.27 | | | | | | | | | | | | | | | | | | (1297) all_12_7 = e11 % 45.25/7.27 | | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (562), (1297) imply: % 45.25/7.27 | | | | | | | | | | | | | | | | | | (1298) all_22_13 = e11 % 45.25/7.27 | | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (397), (1297) imply: % 45.25/7.27 | | | | | | | | | | | | | | | | | | (1299) all_26_21 = e11 % 45.25/7.27 | | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | | REDUCE: (78), (1297) imply: % 45.25/7.27 | | | | | | | | | | | | | | | | | | (1300) ~ (all_12_3 = e11) % 45.25/7.27 | | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | | REDUCE: (69), (1297) imply: % 45.25/7.27 | | | | | | | | | | | | | | | | | | (1301) ~ (all_12_5 = e11) % 45.25/7.27 | | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | | REDUCE: (66), (1297) imply: % 45.25/7.27 | | | | | | | | | | | | | | | | | | (1302) ~ (all_12_6 = e11) % 45.25/7.27 | | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | | BETA: splitting (187) gives: % 45.25/7.27 | | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | | Case 1: % 45.25/7.27 | | | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | | | (1303) all_16_5 = e13 % 45.25/7.27 | | | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (622), (1303) imply: % 45.25/7.27 | | | | | | | | | | | | | | | | | | | (1304) all_12_5 = e13 % 45.25/7.27 | | | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | | | SIMP: (1304) implies: % 45.25/7.27 | | | | | | | | | | | | | | | | | | | (1305) all_12_5 = e13 % 45.25/7.27 | | | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | | | REDUCE: (750), (1305) imply: % 45.25/7.27 | | | | | | | | | | | | | | | | | | | (1306) $false % 45.25/7.27 | | | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | | | CLOSE: (1306) is inconsistent. % 45.25/7.27 | | | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | | Case 2: % 45.25/7.27 | | | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | | | (1307) ~ (all_16_5 = e13) % 45.25/7.27 | | | | | | | | | | | | | | | | | | | (1308) all_16_5 = e12 | all_16_5 = e11 | all_16_5 = e10 % 45.25/7.27 | | | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | | | BETA: splitting (1308) gives: % 45.25/7.27 | | | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | | | Case 1: % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | (1309) all_16_5 = e11 % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (622), (1309) imply: % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | (1310) all_12_5 = e11 % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | SIMP: (1310) implies: % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | (1311) all_12_5 = e11 % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | REDUCE: (1301), (1311) imply: % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | (1312) $false % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | CLOSE: (1312) is inconsistent. % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | | | Case 2: % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | (1313) ~ (all_16_5 = e11) % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | (1314) all_16_5 = e12 | all_16_5 = e10 % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | BETA: splitting (1314) gives: % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | Case 1: % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | (1315) all_16_5 = e12 % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (622), (1315) imply: % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | (1316) all_12_5 = e12 % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | SIMP: (1316) implies: % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | (1317) all_12_5 = e12 % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | REDUCE: (1013), (1317) imply: % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | (1318) $false % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | CLOSE: (1318) is inconsistent. % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | Case 2: % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | (1319) all_16_5 = e10 % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (622), (1319) imply: % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | (1320) all_12_5 = e10 % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | SIMP: (1320) implies: % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | (1321) all_12_5 = e10 % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (691), (1321) imply: % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | (1322) all_26_28 = e10 % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | REDUCE: (67), (1321) imply: % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | (1323) ~ (all_12_13 = e10) % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | SIMP: (1323) implies: % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | (1324) ~ (all_12_13 = e10) % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (263) gives: % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | (1325) all_22_15 = e10 % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (583), (1325) imply: % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | (1326) all_12_15 = e10 % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (887), (1326) imply: % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | (1327) $false % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1327) is inconsistent. % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | (1328) (all_22_9 = e10 | all_22_10 = e10 | all_22_11 = % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | e10) & (all_22_12 = e10 | all_22_13 = e10 | % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | all_22_14 = e10) % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1328) implies: % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | (1329) all_22_9 = e10 | all_22_10 = e10 | all_22_11 = e10 % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (264) gives: % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | (1330) all_22_12 = e13 % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (556), (1330) imply: % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | (1331) all_12_3 = e13 % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1331) implies: % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | (1332) all_12_3 = e13 % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (401), (1332) imply: % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | (1333) all_26_18 = e13 % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (322) gives: % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | | (1334) (all_26_16 = e12 & all_26_30 = e13 & ~ (all_26_17 % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | | = e11) & ~ (all_26_28 = e13)) | (all_26_16 = % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | | e12 & all_26_31 = e13 & ~ (all_26_18 = e10) & % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_28 = e13)) | (all_26_17 = e11 & % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | | all_26_28 = e13 & ~ (all_26_16 = e12) & ~ % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e13)) | (all_26_17 = e11 & % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | | all_26_31 = e13 & ~ (all_26_18 = e10) & ~ % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e13)) | (all_26_18 = e10 & % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | | all_26_28 = e13 & ~ (all_26_16 = e12) & ~ % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e13)) | (all_26_18 = e10 & % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | | all_26_30 = e13 & ~ (all_26_17 = e11) & ~ % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e13)) | (all_26_19 = e13 & % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | | all_26_30 = e12 & ~ (all_26_20 = e11) & ~ % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | | (all_26_26 = e12)) | (all_26_19 = e13 & % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | | all_26_31 = e12 & ~ (all_26_21 = e10) & ~ % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | | (all_26_26 = e12)) | (all_26_20 = e11 & % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | | all_26_26 = e12 & ~ (all_26_19 = e13) & ~ % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e12)) | (all_26_20 = e11 & % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | | all_26_31 = e12 & ~ (all_26_21 = e10) & ~ % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e12)) | (all_26_21 = e10 & % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | | all_26_26 = e12 & ~ (all_26_19 = e13) & ~ % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e12)) | (all_26_21 = e10 & % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | | all_26_30 = e12 & ~ (all_26_20 = e11) & ~ % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e12)) % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1334) gives: % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | | | (1335) (all_26_16 = e12 & all_26_30 = e13 & ~ (all_26_17 % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | | | = e11) & ~ (all_26_28 = e13)) | (all_26_16 = % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | | | e12 & all_26_31 = e13 & ~ (all_26_18 = e10) & % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_28 = e13)) | (all_26_17 = e11 & % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | | | all_26_28 = e13 & ~ (all_26_16 = e12) & ~ % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e13)) | (all_26_17 = e11 & % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | | | all_26_31 = e13 & ~ (all_26_18 = e10) & ~ % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e13)) | (all_26_18 = e10 & % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | | | all_26_28 = e13 & ~ (all_26_16 = e12) & ~ % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e13)) | (all_26_18 = e10 & % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | | | all_26_30 = e13 & ~ (all_26_17 = e11) & ~ % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e13)) % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1335) gives: % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (1336) (all_26_16 = e12 & all_26_30 = e13 & ~ (all_26_17 % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | | | | = e11) & ~ (all_26_28 = e13)) | (all_26_16 = % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | | | | e12 & all_26_31 = e13 & ~ (all_26_18 = e10) & % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_28 = e13)) | (all_26_17 = e11 & % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_28 = e13 & ~ (all_26_16 = e12) & ~ % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e13)) % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1336) gives: % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1337) all_26_16 = e12 & all_26_30 = e13 & ~ (all_26_17 % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e11) & ~ (all_26_28 = e13) % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (690), (1019), (1337) are inconsistent by % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #31. % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1338) (all_26_16 = e12 & all_26_31 = e13 & ~ (all_26_18 % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_26_28 = e13)) | (all_26_17 = % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | e11 & all_26_28 = e13 & ~ (all_26_16 = e12) & % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_30 = e13)) % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1338) gives: % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1339) all_26_16 = e12 & all_26_31 = e13 & ~ (all_26_18 % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_26_28 = e13) % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1339) implies: % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1340) all_26_31 = e13 % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (551), (991), (1340) are inconsistent by sub-proof % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #20. % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.25/7.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1341) all_26_17 = e11 & all_26_28 = e13 & ~ (all_26_16 % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e12) & ~ (all_26_30 = e13) % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1341) implies: % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1342) all_26_28 = e13 % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1322), (1342) imply: % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1343) e13 = e10 % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (889), (1343) imply: % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1344) $false % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1344) is inconsistent. % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (1345) (all_26_17 = e11 & all_26_31 = e13 & ~ (all_26_18 % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_26_30 = e13)) | (all_26_18 = % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | e10 & all_26_28 = e13 & ~ (all_26_16 = e12) & % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_31 = e13)) | (all_26_18 = e10 & % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_30 = e13 & ~ (all_26_17 = e11) & ~ % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e13)) % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1345) gives: % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1346) all_26_17 = e11 & all_26_31 = e13 & ~ (all_26_18 % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_26_30 = e13) % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1346) implies: % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1347) all_26_31 = e13 % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (551), (991), (1347) are inconsistent by sub-proof % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | #20. % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1348) (all_26_18 = e10 & all_26_28 = e13 & ~ (all_26_16 % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e12) & ~ (all_26_31 = e13)) | (all_26_18 = % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | e10 & all_26_30 = e13 & ~ (all_26_17 = e11) & % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_31 = e13)) % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1348) gives: % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1349) all_26_18 = e10 & all_26_28 = e13 & ~ (all_26_16 % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e12) & ~ (all_26_31 = e13) % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1349) implies: % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1350) all_26_28 = e13 % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1322), (1350) imply: % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1351) e13 = e10 % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (889), (1351) imply: % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1352) $false % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1352) is inconsistent. % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1353) all_26_18 = e10 & all_26_30 = e13 & ~ (all_26_17 % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e11) & ~ (all_26_31 = e13) % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1353) implies: % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1354) all_26_30 = e13 % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1355) all_26_18 = e10 % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1333), (1355) imply: % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1356) e13 = e10 % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (690), (1354) imply: % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1357) e13 = e12 % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (891), (1356), (1357) are inconsistent by % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #19. % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | (1358) (all_26_19 = e13 & all_26_30 = e12 & ~ (all_26_20 % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | = e11) & ~ (all_26_26 = e12)) | (all_26_19 = % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | e13 & all_26_31 = e12 & ~ (all_26_21 = e10) & % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_26 = e12)) | (all_26_20 = e11 & % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | all_26_26 = e12 & ~ (all_26_19 = e13) & ~ % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e12)) | (all_26_20 = e11 & % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | all_26_31 = e12 & ~ (all_26_21 = e10) & ~ % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e12)) | (all_26_21 = e10 & % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | all_26_26 = e12 & ~ (all_26_19 = e13) & ~ % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e12)) | (all_26_21 = e10 & % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | all_26_30 = e12 & ~ (all_26_20 = e11) & ~ % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e12)) % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1358) gives: % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (1359) (all_26_19 = e13 & all_26_30 = e12 & ~ (all_26_20 % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | = e11) & ~ (all_26_26 = e12)) | (all_26_19 = % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | e13 & all_26_31 = e12 & ~ (all_26_21 = e10) & % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_26 = e12)) | (all_26_20 = e11 & % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_26 = e12 & ~ (all_26_19 = e13) & ~ % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e12)) % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1359) gives: % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1360) all_26_19 = e13 & all_26_30 = e12 & ~ (all_26_20 % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e11) & ~ (all_26_26 = e12) % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1360) implies: % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1361) all_26_19 = e13 % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1011), (1019), (1361) are inconsistent by % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #18. % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1362) (all_26_19 = e13 & all_26_31 = e12 & ~ (all_26_21 % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_26_26 = e12)) | (all_26_20 = % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | e11 & all_26_26 = e12 & ~ (all_26_19 = e13) & % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_30 = e12)) % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1362) gives: % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1363) all_26_19 = e13 & all_26_31 = e12 & ~ (all_26_21 % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_26_26 = e12) % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1363) implies: % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1364) all_26_19 = e13 % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1011), (1019), (1364) are inconsistent by % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #18. % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1365) all_26_20 = e11 & all_26_26 = e12 & ~ (all_26_19 % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_30 = e12) % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (519), (891), (1365) are inconsistent by sub-proof % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #28. % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (1366) (all_26_20 = e11 & all_26_31 = e12 & ~ (all_26_21 % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_26_30 = e12)) | (all_26_21 = % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | e10 & all_26_26 = e12 & ~ (all_26_19 = e13) & % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_31 = e12)) | (all_26_21 = e10 & % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_30 = e12 & ~ (all_26_20 = e11) & ~ % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e12)) % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1366) gives: % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1367) all_26_20 = e11 & all_26_31 = e12 & ~ (all_26_21 % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_26_30 = e12) % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1367) implies: % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1368) all_26_20 = e11 % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (537), (1368) imply: % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1369) all_12_6 = e11 % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1302), (1369) imply: % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1370) $false % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1370) is inconsistent. % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1371) (all_26_21 = e10 & all_26_26 = e12 & ~ (all_26_19 % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_31 = e12)) | (all_26_21 = % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | e10 & all_26_30 = e12 & ~ (all_26_20 = e11) & % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_31 = e12)) % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1371) gives: % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1372) all_26_21 = e10 & all_26_26 = e12 & ~ (all_26_19 % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_31 = e12) % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1372) implies: % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1373) all_26_21 = e10 % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1299), (1373) imply: % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1374) e11 = e10 % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (893), (1374) imply: % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1375) $false % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1375) is inconsistent. % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1376) all_26_21 = e10 & all_26_30 = e12 & ~ (all_26_20 % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e11) & ~ (all_26_31 = e12) % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1376) implies: % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1377) all_26_21 = e10 % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1299), (1377) imply: % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1378) e11 = e10 % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (893), (1378) imply: % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1379) $false % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1379) is inconsistent. % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | (1380) (all_26_22 = e13 & all_26_28 = e11 & ~ (all_26_23 % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | = e12) & ~ (all_26_26 = e11)) | (all_26_22 = % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | e13 & all_26_31 = e11 & ~ (all_26_24 = e10) & % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_26 = e11)) | (all_26_23 = e12 & % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | all_26_26 = e11 & ~ (all_26_22 = e13) & ~ % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | (all_26_28 = e11)) | (all_26_23 = e12 & % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | all_26_31 = e11 & ~ (all_26_24 = e10) & ~ % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | (all_26_28 = e11)) | (all_26_24 = e10 & % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | all_26_26 = e11 & ~ (all_26_22 = e13) & ~ % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e11)) | (all_26_24 = e10 & % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | all_26_28 = e11 & ~ (all_26_23 = e12) & ~ % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e11)) | (all_26_25 = e13 & % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | all_26_28 = e10 & ~ (all_26_26 = e10) & ~ % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | (all_26_27 = e12)) | (all_26_25 = e13 & % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | all_26_30 = e10 & ~ (all_26_26 = e10) & ~ % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | (all_26_29 = e11)) | (all_26_26 = e10 & % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | all_26_27 = e12 & ~ (all_26_25 = e13) & ~ % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | (all_26_28 = e10)) | (all_26_26 = e10 & % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | all_26_29 = e11 & ~ (all_26_25 = e13) & ~ % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e10)) | (all_26_27 = e12 & % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | all_26_30 = e10 & ~ (all_26_28 = e10) & ~ % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | (all_26_29 = e11)) | (all_26_28 = e10 & % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | all_26_29 = e11 & ~ (all_26_27 = e12) & ~ % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e10)) % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1380) gives: % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.25/7.28 | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | (1381) (all_26_22 = e13 & all_26_28 = e11 & ~ (all_26_23 % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | = e12) & ~ (all_26_26 = e11)) | (all_26_22 = % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | e13 & all_26_31 = e11 & ~ (all_26_24 = e10) & % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_26 = e11)) | (all_26_23 = e12 & % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | all_26_26 = e11 & ~ (all_26_22 = e13) & ~ % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_28 = e11)) | (all_26_23 = e12 & % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | all_26_31 = e11 & ~ (all_26_24 = e10) & ~ % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_28 = e11)) | (all_26_24 = e10 & % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | all_26_26 = e11 & ~ (all_26_22 = e13) & ~ % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e11)) | (all_26_24 = e10 & % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | all_26_28 = e11 & ~ (all_26_23 = e12) & ~ % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e11)) % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1381) gives: % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (1382) (all_26_22 = e13 & all_26_28 = e11 & ~ (all_26_23 % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | = e12) & ~ (all_26_26 = e11)) | (all_26_22 = % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | e13 & all_26_31 = e11 & ~ (all_26_24 = e10) & % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_26 = e11)) | (all_26_23 = e12 & % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_26 = e11 & ~ (all_26_22 = e13) & ~ % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_28 = e11)) % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1382) gives: % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1383) all_26_22 = e13 & all_26_28 = e11 & ~ (all_26_23 % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e12) & ~ (all_26_26 = e11) % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1383) implies: % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1384) all_26_28 = e11 % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1322), (1384) imply: % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1385) e11 = e10 % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (893), (1385) imply: % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1386) $false % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1386) is inconsistent. % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1387) (all_26_22 = e13 & all_26_31 = e11 & ~ (all_26_24 % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_26_26 = e11)) | (all_26_23 = % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | e12 & all_26_26 = e11 & ~ (all_26_22 = e13) & % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_28 = e11)) % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (519), (858), (865), (893), (1387) are % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #27. % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (1388) (all_26_23 = e12 & all_26_31 = e11 & ~ (all_26_24 % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_26_28 = e11)) | (all_26_24 = % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | e10 & all_26_26 = e11 & ~ (all_26_22 = e13) & % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_31 = e11)) | (all_26_24 = e10 & % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_28 = e11 & ~ (all_26_23 = e12) & ~ % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_31 = e11)) % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1388) gives: % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1389) all_26_23 = e12 & all_26_31 = e11 & ~ (all_26_24 % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_26_28 = e11) % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (693), (1019), (1389) are inconsistent by % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #36. % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1390) (all_26_24 = e10 & all_26_26 = e11 & ~ (all_26_22 % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_31 = e11)) | (all_26_24 = % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | e10 & all_26_28 = e11 & ~ (all_26_23 = e12) & % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_31 = e11)) % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1390) gives: % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1391) all_26_24 = e10 & all_26_26 = e11 & ~ (all_26_22 % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_31 = e11) % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (519), (893), (1391) are inconsistent by sub-proof % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #26. % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1392) all_26_24 = e10 & all_26_28 = e11 & ~ (all_26_23 % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e12) & ~ (all_26_31 = e11) % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1392) implies: % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1393) all_26_28 = e11 % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1322), (1393) imply: % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1394) e11 = e10 % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (893), (1394) imply: % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1395) $false % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1395) is inconsistent. % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | (1396) (all_26_25 = e13 & all_26_28 = e10 & ~ (all_26_26 % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_26_27 = e12)) | (all_26_25 = % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | e13 & all_26_30 = e10 & ~ (all_26_26 = e10) & % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_29 = e11)) | (all_26_26 = e10 & % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | all_26_27 = e12 & ~ (all_26_25 = e13) & ~ % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_28 = e10)) | (all_26_26 = e10 & % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | all_26_29 = e11 & ~ (all_26_25 = e13) & ~ % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e10)) | (all_26_27 = e12 & % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | all_26_30 = e10 & ~ (all_26_28 = e10) & ~ % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_29 = e11)) | (all_26_28 = e10 & % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | all_26_29 = e11 & ~ (all_26_27 = e12) & ~ % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e10)) % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1396) gives: % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (1397) (all_26_25 = e13 & all_26_28 = e10 & ~ (all_26_26 % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_26_27 = e12)) | (all_26_25 = % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | e13 & all_26_30 = e10 & ~ (all_26_26 = e10) & % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_29 = e11)) | (all_26_26 = e10 & % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_27 = e12 & ~ (all_26_25 = e13) & ~ % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_28 = e10)) % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1397) gives: % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1398) all_26_25 = e13 & all_26_28 = e10 & ~ (all_26_26 % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_26_27 = e12) % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1398) implies: % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1399) ~ (all_26_26 = e10) % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (519), (1399) imply: % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1400) $false % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1400) is inconsistent. % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1401) (all_26_25 = e13 & all_26_30 = e10 & ~ (all_26_26 % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_26_29 = e11)) | (all_26_26 = % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | e10 & all_26_27 = e12 & ~ (all_26_25 = e13) & % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_28 = e10)) % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1401) gives: % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1402) all_26_25 = e13 & all_26_30 = e10 & ~ (all_26_26 % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_26_29 = e11) % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1402) implies: % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1403) all_26_30 = e10 % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (690), (891), (1403) are inconsistent by sub-proof % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #25. % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1404) all_26_26 = e10 & all_26_27 = e12 & ~ (all_26_25 % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_28 = e10) % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1404) implies: % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1405) ~ (all_26_28 = e10) % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1322), (1405) imply: % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1406) $false % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1406) is inconsistent. % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (1407) (all_26_26 = e10 & all_26_29 = e11 & ~ (all_26_25 % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_30 = e10)) | (all_26_27 = % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | e12 & all_26_30 = e10 & ~ (all_26_28 = e10) & % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_29 = e11)) | (all_26_28 = e10 & % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_29 = e11 & ~ (all_26_27 = e12) & ~ % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e10)) % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1407) gives: % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1408) all_26_26 = e10 & all_26_29 = e11 & ~ (all_26_25 % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_26_30 = e10) % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1408) implies: % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1409) ~ (all_26_25 = e13) % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (986), (1409) imply: % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1410) $false % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1410) is inconsistent. % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1411) (all_26_27 = e12 & all_26_30 = e10 & ~ (all_26_28 % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_26_29 = e11)) | (all_26_28 = % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | e10 & all_26_29 = e11 & ~ (all_26_27 = e12) & % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_26_30 = e10)) % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1411) gives: % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1412) all_26_27 = e12 & all_26_30 = e10 & ~ (all_26_28 % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_26_29 = e11) % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1412) implies: % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1413) all_26_30 = e10 % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (690), (891), (1413) are inconsistent by sub-proof % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #25. % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1414) all_26_28 = e10 & all_26_29 = e11 & ~ (all_26_27 % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e12) & ~ (all_26_30 = e10) % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1414) implies: % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1415) all_26_29 = e11 % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (405), (1415) imply: % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1416) all_12_14 = e11 % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1416) implies: % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1417) all_12_14 = e11 % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (578), (1417) imply: % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1418) all_22_11 = e11 % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (421), (889), (893), (985), (1324), (1329), (1418) % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #35. % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.25/7.29 | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | | | | | | | | (1419) all_22_13 = e13 | all_22_14 = e13 | all_22_15 = % 45.25/7.30 | | | | | | | | | | | | | | | | | | | | | | | e13 % 45.25/7.30 | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1419) gives: % 45.25/7.30 | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.25/7.30 | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | | | | | | | | | (1420) all_22_13 = e13 % 45.25/7.30 | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1298), (1420) imply: % 45.25/7.30 | | | | | | | | | | | | | | | | | | | | | | | | (1421) e13 = e11 % 45.25/7.30 | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1421) implies: % 45.25/7.30 | | | | | | | | | | | | | | | | | | | | | | | | (1422) e13 = e11 % 45.25/7.30 | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (865), (1422) imply: % 45.25/7.30 | | | | | | | | | | | | | | | | | | | | | | | | (1423) $false % 45.25/7.30 | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1423) is inconsistent. % 45.25/7.30 | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.25/7.30 | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | | | | | | | | | (1424) all_22_14 = e13 | all_22_15 = e13 % 45.25/7.30 | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1424) gives: % 45.25/7.30 | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.25/7.30 | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | | | | | | | | | | (1425) all_22_14 = e13 % 45.25/7.30 | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (882), (1425) imply: % 45.25/7.30 | | | | | | | | | | | | | | | | | | | | | | | | | (1426) e13 = e10 % 45.25/7.30 | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (889), (1426) imply: % 45.25/7.30 | | | | | | | | | | | | | | | | | | | | | | | | | (1427) $false % 45.25/7.30 | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1427) is inconsistent. % 45.25/7.30 | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.25/7.30 | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | | | | | | | | | | (1428) all_22_15 = e13 % 45.25/7.30 | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (583), (1428) imply: % 45.25/7.30 | | | | | | | | | | | | | | | | | | | | | | | | | (1429) all_12_15 = e13 % 45.25/7.30 | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (991), (1429) imply: % 45.25/7.30 | | | | | | | | | | | | | | | | | | | | | | | | | (1430) $false % 45.25/7.30 | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1430) is inconsistent. % 45.25/7.30 | | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.25/7.30 | | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.25/7.30 | | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | | | | | | | End of split % 45.25/7.30 | | | | | | | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | | | | | | End of split % 45.25/7.30 | | | | | | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | | | | | End of split % 45.25/7.30 | | | | | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | | | | End of split % 45.25/7.30 | | | | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | | | End of split % 45.25/7.30 | | | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | | Case 2: % 45.25/7.30 | | | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | | | (1431) all_16_13 = e12 | all_16_13 = e10 % 45.25/7.30 | | | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | | | BETA: splitting (1431) gives: % 45.25/7.30 | | | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | | | Case 1: % 45.25/7.30 | | | | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | | | | (1432) all_16_13 = e12 % 45.25/7.30 | | | | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (638), (1432) imply: % 45.25/7.30 | | | | | | | | | | | | | | | | | | | (1433) all_12_7 = e12 % 45.25/7.30 | | | | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | | | | SIMP: (1433) implies: % 45.25/7.30 | | | | | | | | | | | | | | | | | | | (1434) all_12_7 = e12 % 45.25/7.30 | | | | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | | | | REDUCE: (1017), (1434) imply: % 45.25/7.30 | | | | | | | | | | | | | | | | | | | (1435) $false % 45.25/7.30 | | | | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | | | | CLOSE: (1435) is inconsistent. % 45.25/7.30 | | | | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | | | Case 2: % 45.25/7.30 | | | | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | | | | (1436) all_16_13 = e10 % 45.25/7.30 | | | | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (638), (885), (1436) are inconsistent by sub-proof % 45.25/7.30 | | | | | | | | | | | | | | | | | | | #17. % 45.25/7.30 | | | | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | | | End of split % 45.25/7.30 | | | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | | End of split % 45.25/7.30 | | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | End of split % 45.25/7.30 | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | Case 2: % 45.25/7.30 | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | (1437) ~ (all_22_1 = e12) % 45.25/7.30 | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | REDUCE: (559), (1437) imply: % 45.25/7.30 | | | | | | | | | | | | | | | | (1438) ~ (all_12_4 = e12) % 45.25/7.30 | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | BETA: splitting (1003) gives: % 45.25/7.30 | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | Case 1: % 45.25/7.30 | | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | | (1439) all_16_1 = e12 % 45.25/7.30 | | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | | COMBINE_EQS: (619), (1439) imply: % 45.25/7.30 | | | | | | | | | | | | | | | | | (1440) all_12_4 = e12 % 45.25/7.30 | | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | | SIMP: (1440) implies: % 45.25/7.30 | | | | | | | | | | | | | | | | | (1441) all_12_4 = e12 % 45.25/7.30 | | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | | REDUCE: (1438), (1441) imply: % 45.25/7.30 | | | | | | | | | | | | | | | | | (1442) $false % 45.25/7.30 | | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | | CLOSE: (1442) is inconsistent. % 45.25/7.30 | | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | Case 2: % 45.25/7.30 | | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | | (1443) all_16_1 = e10 % 45.25/7.30 | | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | | COMBINE_EQS: (619), (1443) imply: % 45.25/7.30 | | | | | | | | | | | | | | | | | (1444) all_12_4 = e10 % 45.25/7.30 | | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | | SIMP: (1444) implies: % 45.25/7.30 | | | | | | | | | | | | | | | | | (1445) all_12_4 = e10 % 45.25/7.30 | | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | | REDUCE: (743), (1445) imply: % 45.25/7.30 | | | | | | | | | | | | | | | | | (1446) $false % 45.25/7.30 | | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | | CLOSE: (1446) is inconsistent. % 45.25/7.30 | | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | End of split % 45.25/7.30 | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | End of split % 45.25/7.30 | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | End of split % 45.25/7.30 | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | End of split % 45.25/7.30 | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | End of split % 45.25/7.30 | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | Case 2: % 45.25/7.30 | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | (1447) ~ (all_16_3 = e13) % 45.25/7.30 | | | | | | | | | | | | (1448) all_16_3 = e12 | all_16_3 = e11 | all_16_3 = e10 % 45.25/7.30 | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | REDUCE: (633), (1447) imply: % 45.25/7.30 | | | | | | | | | | | | (1449) ~ (all_12_12 = e13) % 45.25/7.30 | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | BETA: splitting (1448) gives: % 45.25/7.30 | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | Case 1: % 45.25/7.30 | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | (1450) all_16_3 = e11 % 45.25/7.30 | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | COMBINE_EQS: (633), (1450) imply: % 45.25/7.30 | | | | | | | | | | | | | (1451) all_12_12 = e11 % 45.25/7.30 | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | SIMP: (1451) implies: % 45.25/7.30 | | | | | | | | | | | | | (1452) all_12_12 = e11 % 45.25/7.30 | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | REDUCE: (863), (1452) imply: % 45.25/7.30 | | | | | | | | | | | | | (1453) $false % 45.25/7.30 | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | CLOSE: (1453) is inconsistent. % 45.25/7.30 | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | Case 2: % 45.25/7.30 | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | (1454) all_16_3 = e12 | all_16_3 = e10 % 45.25/7.30 | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | BETA: splitting (273) gives: % 45.25/7.30 | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | Case 1: % 45.25/7.30 | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | (1455) all_22_0 = e13 % 45.25/7.30 | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | COMBINE_EQS: (573), (1455) imply: % 45.25/7.30 | | | | | | | | | | | | | | (1456) e13 = e10 % 45.25/7.30 | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | REDUCE: (889), (1456) imply: % 45.25/7.30 | | | | | | | | | | | | | | (1457) $false % 45.25/7.30 | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | CLOSE: (1457) is inconsistent. % 45.25/7.30 | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | Case 2: % 45.25/7.30 | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | (1458) all_22_1 = e13 | all_22_4 = e13 | all_22_9 = e13 % 45.25/7.30 | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | BETA: splitting (1458) gives: % 45.25/7.30 | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | Case 1: % 45.25/7.30 | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | (1459) all_22_1 = e13 % 45.25/7.30 | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | COMBINE_EQS: (559), (1459) imply: % 45.25/7.30 | | | | | | | | | | | | | | | (1460) all_12_4 = e13 % 45.25/7.30 | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | SIMP: (1460) implies: % 45.25/7.30 | | | | | | | | | | | | | | | (1461) all_12_4 = e13 % 45.25/7.30 | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | COMBINE_EQS: (521), (1461) imply: % 45.25/7.30 | | | | | | | | | | | | | | | (1462) all_26_19 = e13 % 45.25/7.30 | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | REDUCE: (74), (1461) imply: % 45.25/7.30 | | | | | | | | | | | | | | | (1463) ~ (all_12_6 = e13) % 45.25/7.30 | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | SIMP: (1463) implies: % 45.25/7.30 | | | | | | | | | | | | | | | (1464) ~ (all_12_6 = e13) % 45.25/7.30 | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | REDUCE: (73), (1461) imply: % 45.25/7.30 | | | | | | | | | | | | | | | (1465) ~ (all_12_7 = e13) % 45.25/7.30 | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | SIMP: (1465) implies: % 45.25/7.30 | | | | | | | | | | | | | | | (1466) ~ (all_12_7 = e13) % 45.25/7.30 | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | REDUCE: (760), (1461) imply: % 45.25/7.30 | | | | | | | | | | | | | | | (1467) h2(e13) = all_28_75 % 45.25/7.30 | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | REDUCE: (106), (1461) imply: % 45.25/7.30 | | | | | | | | | | | | | | | (1468) op1(e13, e12) = e13 % 45.25/7.30 | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | BETA: splitting (1454) gives: % 45.25/7.30 | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | Case 1: % 45.25/7.30 | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | (1469) all_16_3 = e12 % 45.25/7.30 | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | COMBINE_EQS: (633), (1469) imply: % 45.25/7.30 | | | | | | | | | | | | | | | | (1470) all_12_12 = e12 % 45.25/7.30 | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | COMBINE_EQS: (570), (1470) imply: % 45.25/7.30 | | | | | | | | | | | | | | | | (1471) all_22_9 = e12 % 45.25/7.30 | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | COMBINE_EQS: (899), (1470) imply: % 45.25/7.30 | | | | | | | | | | | | | | | | (1472) all_26_0 = e12 % 45.25/7.30 | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | REDUCE: (762), (1470) imply: % 45.25/7.30 | | | | | | | | | | | | | | | | (1473) h2(e12) = all_28_79 % 45.25/7.30 | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | REDUCE: (806), (1470) imply: % 45.25/7.30 | | | | | | | | | | | | | | | | (1474) op1(e13, e12) = all_26_3 % 45.25/7.30 | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e13, all_26_3, e12, e13, % 45.25/7.30 | | | | | | | | | | | | | | | | simplifying with (1468), (1474) gives: % 45.25/7.30 | | | | | | | | | | | | | | | | (1475) all_26_3 = e13 % 45.25/7.30 | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (26) with e22, all_28_79, e12, % 45.25/7.30 | | | | | | | | | | | | | | | | simplifying with (775), (1473) gives: % 45.25/7.30 | | | | | | | | | | | | | | | | (1476) all_28_79 = e22 % 45.25/7.30 | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (26) with e23, all_28_75, e13, % 45.25/7.30 | | | | | | | | | | | | | | | | simplifying with (945), (1467) gives: % 45.25/7.30 | | | | | | | | | | | | | | | | (1477) all_28_75 = e23 % 45.25/7.30 | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | BETA: splitting (186) gives: % 45.25/7.30 | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | Case 1: % 45.25/7.30 | | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | | (1478) all_16_8 = e13 % 45.25/7.30 | | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | | COMBINE_EQS: (627), (1478) imply: % 45.25/7.30 | | | | | | | | | | | | | | | | | (1479) all_12_2 = e13 % 45.25/7.30 | | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | | SIMP: (1479) implies: % 45.25/7.30 | | | | | | | | | | | | | | | | | (1480) all_12_2 = e13 % 45.25/7.30 | | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | | REDUCE: (79), (1480) imply: % 45.25/7.30 | | | | | | | | | | | | | | | | | (1481) ~ (all_12_14 = e13) % 45.25/7.30 | | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | | SIMP: (1481) implies: % 45.25/7.30 | | | | | | | | | | | | | | | | | (1482) ~ (all_12_14 = e13) % 45.25/7.30 | | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | | REDUCE: (749), (1480) imply: % 45.25/7.30 | | | | | | | | | | | | | | | | | (1483) ~ (e13 = e12) % 45.25/7.30 | | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | | BETA: splitting (265) gives: % 45.25/7.30 | | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | | Case 1: % 45.25/7.30 | | | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | | | (1484) all_22_9 = e13 % 45.25/7.30 | | | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1471), (1484) imply: % 45.25/7.30 | | | | | | | | | | | | | | | | | | (1485) e13 = e12 % 45.25/7.30 | | | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | | | REDUCE: (1483), (1485) imply: % 45.25/7.30 | | | | | | | | | | | | | | | | | | (1486) $false % 45.25/7.30 | | | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | | | CLOSE: (1486) is inconsistent. % 45.25/7.30 | | | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | | Case 2: % 45.25/7.30 | | | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | | | (1487) all_22_10 = e13 | all_22_11 = e13 | all_22_15 = % 45.25/7.30 | | | | | | | | | | | | | | | | | | e13 % 45.25/7.30 | | | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | | | BETA: splitting (1487) gives: % 45.25/7.30 | | | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | | | Case 1: % 45.25/7.30 | | | | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | | | | (1488) all_22_10 = e13 % 45.25/7.30 | | | | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (421), (1488) imply: % 45.25/7.30 | | | | | | | | | | | | | | | | | | | (1489) all_12_13 = e13 % 45.25/7.30 | | | | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | | | | SIMP: (1489) implies: % 45.25/7.30 | | | | | | | | | | | | | | | | | | | (1490) all_12_13 = e13 % 45.25/7.30 | | | | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | | | | REDUCE: (756), (1490) imply: % 45.25/7.30 | | | | | | | | | | | | | | | | | | | (1491) $false % 45.25/7.30 | | | | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | | | | CLOSE: (1491) is inconsistent. % 45.25/7.30 | | | | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | | | Case 2: % 45.25/7.30 | | | | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | | | | (1492) all_22_11 = e13 | all_22_15 = e13 % 45.25/7.30 | | | | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | | | | BETA: splitting (1492) gives: % 45.25/7.30 | | | | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | | | | Case 1: % 45.25/7.30 | | | | | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | | | | | (1493) all_22_11 = e13 % 45.25/7.30 | | | | | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (578), (1493) imply: % 45.25/7.30 | | | | | | | | | | | | | | | | | | | | (1494) all_12_14 = e13 % 45.25/7.30 | | | | | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | | | | | SIMP: (1494) implies: % 45.25/7.30 | | | | | | | | | | | | | | | | | | | | (1495) all_12_14 = e13 % 45.25/7.30 | | | | | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | | | | | REDUCE: (1482), (1495) imply: % 45.25/7.30 | | | | | | | | | | | | | | | | | | | | (1496) $false % 45.25/7.30 | | | | | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | | | | | CLOSE: (1496) is inconsistent. % 45.25/7.30 | | | | | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | | | | Case 2: % 45.25/7.30 | | | | | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | | | | | (1497) all_22_15 = e13 % 45.25/7.30 | | | | | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (583), (1497) imply: % 45.25/7.30 | | | | | | | | | | | | | | | | | | | | (1498) all_12_15 = e13 % 45.25/7.30 | | | | | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (551), (1498) imply: % 45.25/7.30 | | | | | | | | | | | | | | | | | | | | (1499) all_26_31 = e13 % 45.25/7.30 | | | | | | | | | | | | | | | | | | | | % 45.25/7.30 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (896), (1498) imply: % 45.56/7.30 | | | | | | | | | | | | | | | | | | | | (1500) all_26_14 = e13 % 45.56/7.30 | | | | | | | | | | | | | | | | | | | | % 45.56/7.30 | | | | | | | | | | | | | | | | | | | | BETA: splitting (323) gives: % 45.56/7.30 | | | | | | | | | | | | | | | | | | | | % 45.56/7.30 | | | | | | | | | | | | | | | | | | | | Case 1: % 45.56/7.30 | | | | | | | | | | | | | | | | | | | | | % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | (1501) (all_26_0 = e13 & all_26_1 = e12 & all_26_2 = e11 % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | & all_26_3 = e10 & ( ~ (all_26_16 = e12) | % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | all_26_28 = e13) & ( ~ (all_26_17 = e11) | % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | all_26_30 = e13) & ( ~ (all_26_18 = e10) | % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | all_26_31 = e13)) | (all_26_4 = e13 & all_26_5 % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | = e12 & all_26_6 = e11 & all_26_7 = e10 & ( ~ % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | (all_26_19 = e13) | all_26_26 = e12) & ( ~ % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | (all_26_20 = e11) | all_26_30 = e12) & ( ~ % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | (all_26_21 = e10) | all_26_31 = e12)) % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1501) gives: % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | (1502) all_26_0 = e13 & all_26_1 = e12 & all_26_2 = e11 & % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | all_26_3 = e10 & ( ~ (all_26_16 = e12) | all_26_28 % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | = e13) & ( ~ (all_26_17 = e11) | all_26_30 = % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | e13) & ( ~ (all_26_18 = e10) | all_26_31 = e13) % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1502) implies: % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | (1503) all_26_3 = e10 % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | (1504) all_26_0 = e13 % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1472), (1504) imply: % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | (1505) e13 = e12 % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | SIMP: (1505) implies: % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | (1506) e13 = e12 % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1475), (1503) imply: % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | (1507) e13 = e10 % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | SIMP: (1507) implies: % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | (1508) e13 = e10 % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1506), (1508) imply: % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | (1509) e12 = e10 % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (891), (1509) imply: % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | (1510) $false % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1510) is inconsistent. % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | (1511) all_26_4 = e13 & all_26_5 = e12 & all_26_6 = e11 & % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | all_26_7 = e10 & ( ~ (all_26_19 = e13) | all_26_26 % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | = e12) & ( ~ (all_26_20 = e11) | all_26_30 = % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | e12) & ( ~ (all_26_21 = e10) | all_26_31 = e12) % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1511) implies: % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | (1512) ~ (all_26_19 = e13) | all_26_26 = e12 % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1512) gives: % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | | (1513) ~ (all_26_19 = e13) % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1462), (1513) imply: % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | | (1514) $false % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1514) is inconsistent. % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | | (1515) all_26_26 = e12 % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (519), (1515) imply: % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | | (1516) e12 = e10 % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (891), (1516) imply: % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | | (1517) $false % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1517) is inconsistent. % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | End of split % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | End of split % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | Case 2: % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | (1518) (all_26_8 = e13 & all_26_9 = e12 & all_26_10 = e11 % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | & all_26_11 = e10 & ( ~ (all_26_22 = e13) | % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | all_26_26 = e11) & ( ~ (all_26_23 = e12) | % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | all_26_28 = e11) & ( ~ (all_26_24 = e10) | % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | all_26_31 = e11)) | (all_26_12 = e13 & % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | all_26_13 = e12 & all_26_14 = e11 & all_26_15 = % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | e10 & ( ~ (all_26_25 = e13) | all_26_26 = e10) & % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_27 = e12) | all_26_28 = e10) & ( ~ % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | (all_26_29 = e11) | all_26_30 = e10)) % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1518) gives: % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | (1519) all_26_8 = e13 & all_26_9 = e12 & all_26_10 = e11 % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | & all_26_11 = e10 & ( ~ (all_26_22 = e13) | % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | all_26_26 = e11) & ( ~ (all_26_23 = e12) | % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | all_26_28 = e11) & ( ~ (all_26_24 = e10) | % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | all_26_31 = e11) % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1519) implies: % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | (1520) all_26_10 = e11 % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | (1521) ~ (all_26_24 = e10) | all_26_31 = e11 % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (897), (1520) imply: % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | (1522) all_12_6 = e11 % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (865), (883), (1499), (1521) are inconsistent by % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | sub-proof #30. % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | (1523) all_26_12 = e13 & all_26_13 = e12 & all_26_14 = % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | e11 & all_26_15 = e10 & ( ~ (all_26_25 = e13) | % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | all_26_26 = e10) & ( ~ (all_26_27 = e12) | % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | all_26_28 = e10) & ( ~ (all_26_29 = e11) | % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | all_26_30 = e10) % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1523) implies: % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | (1524) all_26_14 = e11 % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1500), (1524) imply: % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | (1525) e13 = e11 % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (865), (1525) imply: % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | (1526) $false % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1526) is inconsistent. % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | End of split % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | End of split % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | % 45.56/7.31 | | | | | | | | | | | | | | | | | | | End of split % 45.56/7.31 | | | | | | | | | | | | | | | | | | | % 45.56/7.31 | | | | | | | | | | | | | | | | | | End of split % 45.56/7.31 | | | | | | | | | | | | | | | | | | % 45.56/7.31 | | | | | | | | | | | | | | | | | End of split % 45.56/7.31 | | | | | | | | | | | | | | | | | % 45.56/7.31 | | | | | | | | | | | | | | | | Case 2: % 45.56/7.31 | | | | | | | | | | | | | | | | | % 45.56/7.31 | | | | | | | | | | | | | | | | | (1527) ~ (all_16_8 = e13) % 45.56/7.31 | | | | | | | | | | | | | | | | | (1528) all_16_8 = e12 | all_16_8 = e11 | all_16_8 = e10 % 45.56/7.31 | | | | | | | | | | | | | | | | | % 45.56/7.31 | | | | | | | | | | | | | | | | | REDUCE: (627), (1527) imply: % 45.56/7.31 | | | | | | | | | | | | | | | | | (1529) ~ (all_12_2 = e13) % 45.56/7.31 | | | | | | | | | | | | | | | | | % 45.56/7.31 | | | | | | | | | | | | | | | | | BETA: splitting (266) gives: % 45.56/7.31 | | | | | | | | | | | | | | | | | % 45.56/7.31 | | | | | | | | | | | | | | | | | Case 1: % 45.56/7.31 | | | | | | | | | | | | | | | | | | % 45.56/7.31 | | | | | | | | | | | | | | | | | | (1530) all_22_6 = e13 % 45.56/7.31 | | | | | | | | | | | | | | | | | | % 45.56/7.31 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (554), (1530) imply: % 45.56/7.31 | | | | | | | | | | | | | | | | | | (1531) all_12_2 = e13 % 45.56/7.31 | | | | | | | | | | | | | | | | | | % 45.56/7.31 | | | | | | | | | | | | | | | | | | SIMP: (1531) implies: % 45.56/7.31 | | | | | | | | | | | | | | | | | | (1532) all_12_2 = e13 % 45.56/7.31 | | | | | | | | | | | | | | | | | | % 45.56/7.31 | | | | | | | | | | | | | | | | | | REDUCE: (1529), (1532) imply: % 45.56/7.31 | | | | | | | | | | | | | | | | | | (1533) $false % 45.56/7.31 | | | | | | | | | | | | | | | | | | % 45.56/7.31 | | | | | | | | | | | | | | | | | | CLOSE: (1533) is inconsistent. % 45.56/7.31 | | | | | | | | | | | | | | | | | | % 45.56/7.31 | | | | | | | | | | | | | | | | | Case 2: % 45.56/7.31 | | | | | | | | | | | | | | | | | | % 45.56/7.31 | | | | | | | | | | | | | | | | | | (1534) all_22_7 = e13 | all_22_8 = e13 | all_22_11 = e13 % 45.56/7.31 | | | | | | | | | | | | | | | | | | % 45.56/7.31 | | | | | | | | | | | | | | | | | | BETA: splitting (1528) gives: % 45.56/7.31 | | | | | | | | | | | | | | | | | | % 45.56/7.31 | | | | | | | | | | | | | | | | | | Case 1: % 45.56/7.31 | | | | | | | | | | | | | | | | | | | % 45.56/7.31 | | | | | | | | | | | | | | | | | | | (1535) all_16_8 = e11 % 45.56/7.31 | | | | | | | | | | | | | | | | | | | % 45.56/7.31 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (627), (1535) imply: % 45.56/7.31 | | | | | | | | | | | | | | | | | | | (1536) all_12_2 = e11 % 45.56/7.31 | | | | | | | | | | | | | | | | | | | % 45.56/7.31 | | | | | | | | | | | | | | | | | | | SIMP: (1536) implies: % 45.56/7.31 | | | | | | | | | | | | | | | | | | | (1537) all_12_2 = e11 % 45.56/7.31 | | | | | | | | | | | | | | | | | | | % 45.56/7.31 | | | | | | | | | | | | | | | | | | | REDUCE: (86), (1537) imply: % 45.56/7.31 | | | | | | | | | | | | | | | | | | | (1538) ~ (all_12_1 = e11) % 45.56/7.31 | | | | | | | | | | | | | | | | | | | % 45.56/7.31 | | | | | | | | | | | | | | | | | | | REDUCE: (81), (1537) imply: % 45.56/7.31 | | | | | | | | | | | | | | | | | | | (1539) ~ (all_12_6 = e11) % 45.56/7.31 | | | | | | | | | | | | | | | | | | | % 45.56/7.31 | | | | | | | | | | | | | | | | | | | SIMP: (1539) implies: % 45.56/7.31 | | | | | | | | | | | | | | | | | | | (1540) ~ (all_12_6 = e11) % 45.56/7.31 | | | | | | | | | | | | | | | | | | | % 45.56/7.31 | | | | | | | | | | | | | | | | | | | REDUCE: (767), (1537) imply: % 45.56/7.31 | | | | | | | | | | | | | | | | | | | (1541) h2(e11) = all_28_89 % 45.56/7.31 | | | | | | | | | | | | | | | | | | | % 45.56/7.31 | | | | | | | | | | | | | | | | | | | BETA: splitting (981) gives: % 45.56/7.31 | | | | | | | | | | | | | | | | | | | % 45.56/7.31 | | | | | | | | | | | | | | | | | | | Case 1: % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | (1542) all_16_4 = e11 % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (621), (1538), (1542) are inconsistent by % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | sub-proof #34. % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | % 45.56/7.31 | | | | | | | | | | | | | | | | | | | Case 2: % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | (1543) ~ (all_16_4 = e11) % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | (1544) all_16_4 = e12 | all_16_4 = e10 % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | BETA: splitting (323) gives: % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | Case 1: % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | (1545) (all_26_0 = e13 & all_26_1 = e12 & all_26_2 = e11 % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | & all_26_3 = e10 & ( ~ (all_26_16 = e12) | % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | all_26_28 = e13) & ( ~ (all_26_17 = e11) | % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | all_26_30 = e13) & ( ~ (all_26_18 = e10) | % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | all_26_31 = e13)) | (all_26_4 = e13 & all_26_5 % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | = e12 & all_26_6 = e11 & all_26_7 = e10 & ( ~ % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | (all_26_19 = e13) | all_26_26 = e12) & ( ~ % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | (all_26_20 = e11) | all_26_30 = e12) & ( ~ % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | (all_26_21 = e10) | all_26_31 = e12)) % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1545) gives: % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.56/7.31 | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | (1546) all_26_0 = e13 & all_26_1 = e12 & all_26_2 = e11 & % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | all_26_3 = e10 & ( ~ (all_26_16 = e12) | all_26_28 % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | = e13) & ( ~ (all_26_17 = e11) | all_26_30 = % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | e13) & ( ~ (all_26_18 = e10) | all_26_31 = e13) % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1546) implies: % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | (1547) all_26_3 = e10 % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | (1548) all_26_0 = e13 % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1472), (1548) imply: % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | (1549) e13 = e12 % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | SIMP: (1549) implies: % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | (1550) e13 = e12 % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1475), (1547) imply: % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | (1551) e13 = e10 % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (891), (1550), (1551) are inconsistent by % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | sub-proof #19. % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | (1552) all_26_4 = e13 & all_26_5 = e12 & all_26_6 = e11 & % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | all_26_7 = e10 & ( ~ (all_26_19 = e13) | all_26_26 % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | = e12) & ( ~ (all_26_20 = e11) | all_26_30 = % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | e12) & ( ~ (all_26_21 = e10) | all_26_31 = e12) % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (898), (1538), (1552) are inconsistent by % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | sub-proof #32. % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | End of split % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | Case 2: % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | (1553) (all_26_8 = e13 & all_26_9 = e12 & all_26_10 = e11 % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | & all_26_11 = e10 & ( ~ (all_26_22 = e13) | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | all_26_26 = e11) & ( ~ (all_26_23 = e12) | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | all_26_28 = e11) & ( ~ (all_26_24 = e10) | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | all_26_31 = e11)) | (all_26_12 = e13 & % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | all_26_13 = e12 & all_26_14 = e11 & all_26_15 = % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | e10 & ( ~ (all_26_25 = e13) | all_26_26 = e10) & % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | ( ~ (all_26_27 = e12) | all_26_28 = e10) & ( ~ % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | (all_26_29 = e11) | all_26_30 = e10)) % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1553) gives: % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | (1554) all_26_8 = e13 & all_26_9 = e12 & all_26_10 = e11 % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | & all_26_11 = e10 & ( ~ (all_26_22 = e13) | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | all_26_26 = e11) & ( ~ (all_26_23 = e12) | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | all_26_28 = e11) & ( ~ (all_26_24 = e10) | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | all_26_31 = e11) % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1554) implies: % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | (1555) all_26_10 = e11 % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (897), (1555) imply: % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | (1556) all_12_6 = e11 % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1540), (1556) imply: % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | (1557) $false % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1557) is inconsistent. % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | (1558) all_26_12 = e13 & all_26_13 = e12 & all_26_14 = % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | e11 & all_26_15 = e10 & ( ~ (all_26_25 = e13) | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | all_26_26 = e10) & ( ~ (all_26_27 = e12) | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | all_26_28 = e10) & ( ~ (all_26_29 = e11) | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | all_26_30 = e10) % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1558) implies: % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | (1559) all_26_14 = e11 % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (896), (1559) imply: % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | (1560) all_12_15 = e11 % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (76), (1560) imply: % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | (1561) ~ (all_12_3 = e11) % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (63), (1560) imply: % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | (1562) ~ (all_12_7 = e11) % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (52), (1560) imply: % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | (1563) ~ (all_12_13 = e11) % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (1560) imply: % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | (1564) ~ (all_12_14 = e11) % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (774), (1560) imply: % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | (1565) h2(e11) = all_28_107 % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (185) gives: % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | (1566) all_16_9 = e13 % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (629), (1566) imply: % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | (1567) all_12_6 = e13 % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1464), (1567) imply: % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | (1568) $false % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1568) is inconsistent. % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | (1569) ~ (all_16_9 = e13) % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | (1570) all_16_9 = e12 | all_16_9 = e11 | all_16_9 = e10 % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (182) gives: % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | (1571) all_16_13 = e13 % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (638), (1571) imply: % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | (1572) all_12_7 = e13 % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1572) implies: % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | (1573) all_12_7 = e13 % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1466), (1573) imply: % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | (1574) $false % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1574) is inconsistent. % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | (1575) all_16_13 = e12 | all_16_13 = e11 | all_16_13 = % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | e10 % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1575) gives: % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | (1576) all_16_13 = e11 % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (638), (1576) imply: % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | (1577) all_12_7 = e11 % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1577) implies: % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | (1578) all_12_7 = e11 % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1562), (1578) imply: % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | (1579) $false % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1579) is inconsistent. % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | (1580) all_16_13 = e12 | all_16_13 = e10 % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1580) gives: % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (1581) all_16_13 = e12 % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (638), (1581) imply: % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (1582) all_12_7 = e12 % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1582) implies: % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (1583) all_12_7 = e12 % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (66), (1583) imply: % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (1584) ~ (all_12_6 = e12) % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (772), (1583) imply: % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (1585) h2(e12) = all_28_101 % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (269) gives: % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1586) all_22_2 = e12 % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (552), (1586) imply: % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1587) all_12_1 = e12 % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1587) implies: % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1588) all_12_1 = e12 % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (85), (1588) imply: % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1589) ~ (all_12_3 = e12) % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1589) implies: % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1590) ~ (all_12_3 = e12) % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1538), (1588) imply: % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1591) ~ (e12 = e11) % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (763), (1588) imply: % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1592) h2(e12) = all_28_81 % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (183) gives: % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1593) all_16_12 = e13 % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (637), (1593) imply: % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1594) all_12_3 = e13 % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1594) implies: % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1595) all_12_3 = e13 % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1590), (1595) imply: % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1596) ~ (e13 = e12) % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (771), (1595) imply: % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1597) h2(e13) = all_28_98 % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1570) gives: % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1598) all_16_9 = e11 % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (629), (1540), (1598) are inconsistent by % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #23. % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1599) all_16_9 = e12 | all_16_9 = e10 % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1599) gives: % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1600) all_16_9 = e12 % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (629), (1600) imply: % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1601) all_12_6 = e12 % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1601) implies: % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1602) all_12_6 = e12 % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1584), (1602) imply: % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1603) $false % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1603) is inconsistent. % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1604) all_16_9 = e10 % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (629), (1604) imply: % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1605) all_12_6 = e10 % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1605) implies: % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1606) all_12_6 = e10 % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (560), (1606) imply: % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1607) all_22_7 = e10 % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (70), (1606) imply: % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1608) ~ (all_12_5 = e10) % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (65), (1606) imply: % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1609) ~ (all_12_14 = e10) % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1609) implies: % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1610) ~ (all_12_14 = e10) % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (768), (1606) imply: % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1611) h2(e10) = all_28_91 % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (184) gives: % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1612) all_16_11 = e13 % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (636), (1612) imply: % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1613) all_12_14 = e13 % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1613) implies: % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1614) all_12_14 = e13 % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (770), (1614) imply: % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1615) h2(e13) = all_28_95 % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (268) gives: % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1616) all_22_2 = e11 % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1586), (1616) imply: % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1617) e12 = e11 % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1617) implies: % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1618) e12 = e11 % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1591), (1618) imply: % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1619) $false % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1619) is inconsistent. % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1620) all_22_3 = e11 | all_22_5 = e11 | all_22_10 = e11 % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1620) gives: % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1621) all_22_3 = e11 % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (529), (1621) imply: % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1622) all_12_5 = e11 % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1622) implies: % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1623) all_12_5 = e11 % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (764), (1623) imply: % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1624) h2(e11) = all_28_83 % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (267) gives: % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1625) all_22_2 = e10 % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (891), (1586), (1625) are inconsistent by % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #16. % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1626) all_22_3 = e10 | all_22_5 = e10 | all_22_10 = e10 % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1626) gives: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1627) all_22_3 = e10 % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1621), (1627) imply: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1628) e11 = e10 % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1628) implies: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1629) e11 = e10 % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (893), (1629) imply: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1630) $false % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1630) is inconsistent. % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1631) all_22_5 = e10 | all_22_10 = e10 % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1631) gives: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1632) all_22_5 = e10 % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (426), (889), (1632) are inconsistent by sub-proof % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #15. % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1633) all_22_10 = e10 % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (421), (1633) imply: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1634) all_12_13 = e10 % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1634) implies: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1635) all_12_13 = e10 % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (766), (1635) imply: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1636) h2(e10) = all_28_87 % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (26) with e20, all_28_87, e10, % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (962), (1636) gives: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1637) all_28_87 = e20 % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (26) with all_28_91, all_28_87, e10, % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1611), (1636) gives: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1638) all_28_87 = all_28_91 % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (26) with all_28_107, all_28_89, % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11, simplifying with (1541), (1565) gives: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1639) all_28_89 = all_28_107 % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (26) with e21, all_28_83, e11, % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (36), (1624) gives: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1640) all_28_83 = e21 % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (26) with all_28_89, all_28_83, e11, % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1541), (1624) gives: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1641) all_28_83 = all_28_89 % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (26) with e22, all_28_81, e12, % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (775), (1592) gives: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1642) all_28_81 = e22 % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (26) with all_28_101, all_28_81, % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12, simplifying with (1585), (1592) gives: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1643) all_28_81 = all_28_101 % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (26) with e23, all_28_95, e13, % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (945), (1615) gives: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1644) all_28_95 = e23 % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (26) with all_28_98, all_28_95, e13, % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1597), (1615) gives: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1645) all_28_95 = all_28_98 % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1642), (1643) imply: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1646) all_28_101 = e22 % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1646) implies: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1647) all_28_101 = e22 % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1640), (1641) imply: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1648) all_28_89 = e21 % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1648) implies: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1649) all_28_89 = e21 % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1637), (1638) imply: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1650) all_28_91 = e20 % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1650) implies: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1651) all_28_91 = e20 % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1639), (1649) imply: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1652) all_28_107 = e21 % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1652) implies: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1653) all_28_107 = e21 % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1644), (1645) imply: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1654) all_28_98 = e23 % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1655) all_18_8 = e23 % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (653), (1655) imply: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1656) all_14_2 = e23 % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (1656) imply: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1657) all_24_17 = e23 % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (137), (1656) imply: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1658) ~ (all_14_6 = e23) % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1658) implies: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1659) ~ (all_14_6 = e23) % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (940), (1656) imply: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1660) ~ (all_8_0 = e23) % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1660) implies: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1661) ~ (all_8_0 = e23) % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1662) all_18_3 = e23 % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (658), (1662) imply: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1663) all_14_12 = e23 % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (1663) imply: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1664) all_24_25 = e23 % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (1663) imply: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1665) ~ (all_14_4 = e23) % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1666) all_18_1 = e23 % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (645), (1666) imply: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1667) all_14_4 = e23 % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1667) implies: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1668) all_14_4 = e23 % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1665), (1668) imply: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1669) $false % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1669) is inconsistent. % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1670) ~ (all_18_1 = e23) % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1671) all_18_1 = e22 | all_18_1 = e21 | all_18_1 = e20 % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1672) all_20_1 = e23 % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (591), (1672) imply: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1673) all_14_4 = e23 % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1665), (1673) imply: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1674) $false % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1674) is inconsistent. % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1675) all_20_3 = e23 | all_20_7 = e23 | all_20_13 = e23 % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1675) gives: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1676) all_20_3 = e23 % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (490), (1676) imply: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1677) all_6_1 = e23 % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (720), (1677) imply: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1678) $false % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1678) is inconsistent. % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1679) all_20_7 = e23 | all_20_13 = e23 % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1679) gives: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1680) all_20_7 = e23 % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (592), (1680) imply: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1681) all_14_6 = e23 % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1681) implies: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1682) all_14_6 = e23 % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1659), (1682) imply: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1683) $false % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1683) is inconsistent. % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1684) all_20_13 = e23 % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (462), (1684) imply: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1685) all_14_7 = e23 % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1685) implies: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1686) all_14_7 = e23 % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (688), (1686) imply: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1687) all_24_21 = e23 % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (722), (1686) imply: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1688) ~ (all_10_1 = e23) % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1688) implies: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1689) ~ (all_10_1 = e23) % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (719), (1686) imply: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1690) ~ (all_6_1 = e23) % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (804), (1686) imply: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1691) op2(e20, e23) = all_24_13 % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1671) gives: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1692) all_18_1 = e21 % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (645), (1692) imply: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1693) all_14_4 = e21 % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (841), (1693) imply: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1694) $false % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1694) is inconsistent. % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1695) ~ (all_18_1 = e21) % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1696) all_18_1 = e22 | all_18_1 = e20 % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1696) gives: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1697) all_18_1 = e22 % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (645), (1697) imply: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1698) all_14_4 = e22 % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (504), (1698) imply: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1699) all_24_19 = e22 % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1665), (1698) imply: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1700) ~ (e23 = e22) % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_8_0, all_24_13, e23, % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20, simplifying with (798), (1691) gives: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1701) all_24_13 = all_8_0 % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1702) all_18_4 = e23 % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (647), (1702) imply: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1703) all_14_1 = e23 % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (714), (1703) imply: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1704) $false % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1704) is inconsistent. % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1705) ~ (all_18_4 = e23) % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1706) all_18_4 = e22 | all_18_4 = e21 | all_18_4 = e20 % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1707) all_20_12 = e21 % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (935), (1707) imply: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1708) all_8_0 = e21 % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1701), (1708) imply: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1709) all_24_13 = e21 % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (939), (1708) imply: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1710) ~ (all_14_1 = e21) % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (944), (1708) imply: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1711) ~ (all_10_1 = e21) % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1712) all_20_12 = e22 % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1707), (1712) imply: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1713) e22 = e21 % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1713) implies: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1714) e22 = e21 % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (1714) imply: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1715) $false % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1715) is inconsistent. % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1716) all_20_13 = e22 | all_20_14 = e22 | all_20_15 = % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22 % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1706) gives: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1717) all_18_4 = e21 % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (647), (1717) imply: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1718) all_14_1 = e21 % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1710), (1718) imply: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1719) $false % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1719) is inconsistent. % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1720) ~ (all_18_4 = e21) % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1721) all_18_4 = e22 | all_18_4 = e20 % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1721) gives: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1722) all_18_4 = e22 % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (647), (1722) imply: % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1723) all_14_1 = e22 % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (495), (1723) imply: % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1724) all_24_16 = e22 % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (912), (1723) imply: % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1725) all_24_6 = e22 % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1716) gives: % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1726) all_20_13 = e22 % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1684), (1726) imply: % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1727) e23 = e22 % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1727) implies: % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1728) e23 = e22 % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (725), (1728) imply: % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1729) $false % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1729) is inconsistent. % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1730) all_20_14 = e22 | all_20_15 = e22 % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (298) gives: % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1731) (all_24_0 = e23 & all_24_1 = e22 & all_24_2 = e21 % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_24_3 = e20 & ( ~ (all_24_16 = e22) | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_28 = e23) & ( ~ (all_24_17 = e21) | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_30 = e23) & ( ~ (all_24_18 = e20) | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_31 = e23)) | (all_24_4 = e23 & all_24_5 % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22 & all_24_6 = e21 & all_24_7 = e20 & ( ~ % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_19 = e23) | all_24_26 = e22) & ( ~ % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_20 = e21) | all_24_30 = e22) & ( ~ % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_21 = e20) | all_24_31 = e22)) % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1731) gives: % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1732) all_24_0 = e23 & all_24_1 = e22 & all_24_2 = e21 & % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_3 = e20 & ( ~ (all_24_16 = e22) | all_24_28 % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ( ~ (all_24_17 = e21) | all_24_30 = % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ( ~ (all_24_18 = e20) | all_24_31 = e23) % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1732) implies: % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1733) ~ (all_24_16 = e22) | all_24_28 = e23 % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (686), (720), (1724), (1733) are inconsistent by % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #14. % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1734) all_24_4 = e23 & all_24_5 = e22 & all_24_6 = e21 & % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_7 = e20 & ( ~ (all_24_19 = e23) | all_24_26 % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22) & ( ~ (all_24_20 = e21) | all_24_30 = % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ( ~ (all_24_21 = e20) | all_24_31 = e22) % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1725), (1734) are inconsistent by sub-proof % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #13. % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1735) (all_24_8 = e23 & all_24_9 = e22 & all_24_10 = e21 % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_24_11 = e20 & ( ~ (all_24_22 = e23) | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_26 = e21) & ( ~ (all_24_23 = e22) | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_28 = e21) & ( ~ (all_24_24 = e20) | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_31 = e21)) | (all_24_12 = e23 & % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_13 = e22 & all_24_14 = e21 & all_24_15 = % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 & ( ~ (all_24_25 = e23) | all_24_26 = e20) & % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_27 = e22) | all_24_28 = e20) & ( ~ % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_29 = e21) | all_24_30 = e20)) % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1735) gives: % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1736) all_24_8 = e23 & all_24_9 = e22 & all_24_10 = e21 % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_24_11 = e20 & ( ~ (all_24_22 = e23) | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_26 = e21) & ( ~ (all_24_23 = e22) | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_28 = e21) & ( ~ (all_24_24 = e20) | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_31 = e21) % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1736) implies: % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1737) ~ (all_24_24 = e20) | all_24_31 = e21 % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1730) gives: % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1738) all_20_14 = e22 % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (826), (1738) imply: % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1739) e22 = e20 % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1739) implies: % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1740) e22 = e20 % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (1740) imply: % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1741) $false % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1741) is inconsistent. % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1742) all_20_15 = e22 % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (456), (1742) imply: % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1743) all_10_1 = e22 % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1743) implies: % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1744) all_10_1 = e22 % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (685), (1744) imply: % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1745) all_24_31 = e22 % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1737) gives: % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1746) ~ (all_24_24 = e20) % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (829), (1746) imply: % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1747) $false % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1747) is inconsistent. % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1748) all_24_31 = e21 % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1745), (1748) imply: % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1749) e22 = e21 % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1749) implies: % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1750) e22 = e21 % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (1750) imply: % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1751) $false % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1751) is inconsistent. % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1752) all_24_12 = e23 & all_24_13 = e22 & all_24_14 = % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21 & all_24_15 = e20 & ( ~ (all_24_25 = e23) | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_26 = e20) & ( ~ (all_24_27 = e22) | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_28 = e20) & ( ~ (all_24_29 = e21) | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_30 = e20) % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1752) implies: % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1753) all_24_13 = e22 % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1709), (1753) imply: % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1754) e22 = e21 % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (1754) imply: % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1755) $false % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1755) is inconsistent. % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1756) all_18_4 = e20 % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (647), (1756) imply: % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1757) all_14_1 = e20 % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (706), (1757) imply: % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1758) $false % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1758) is inconsistent. % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1759) all_20_13 = e21 | all_20_14 = e21 | all_20_15 = % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21 % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1759) gives: % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1760) all_20_13 = e21 % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1684), (1760) imply: % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1761) e23 = e21 % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (1761) imply: % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1762) $false % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1762) is inconsistent. % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1763) all_20_14 = e21 | all_20_15 = e21 % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1763) gives: % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1764) all_20_14 = e21 % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (826), (1764) imply: % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1765) e21 = e20 % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (1765) imply: % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1766) $false % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1766) is inconsistent. % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1767) all_20_15 = e21 % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (456), (1767) imply: % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1768) all_10_1 = e21 % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1768) implies: % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1769) all_10_1 = e21 % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (685), (1769) imply: % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1770) all_24_31 = e21 % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (737), (1769) imply: % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1771) ~ (all_14_14 = e21) % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (297) gives: % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1772) (all_24_16 = e22 & all_24_30 = e23 & ~ (all_24_17 % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21) & ~ (all_24_28 = e23)) | (all_24_16 = % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22 & all_24_31 = e23 & ~ (all_24_18 = e20) & % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_28 = e23)) | (all_24_17 = e21 & % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_28 = e23 & ~ (all_24_16 = e22) & ~ % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e23)) | (all_24_17 = e21 & % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_31 = e23 & ~ (all_24_18 = e20) & ~ % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e23)) | (all_24_18 = e20 & % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_28 = e23 & ~ (all_24_16 = e22) & ~ % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e23)) | (all_24_18 = e20 & % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_30 = e23 & ~ (all_24_17 = e21) & ~ % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e23)) | (all_24_19 = e23 & % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_30 = e22 & ~ (all_24_20 = e21) & ~ % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_26 = e22)) | (all_24_19 = e23 & % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_31 = e22 & ~ (all_24_21 = e20) & ~ % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_26 = e22)) | (all_24_20 = e21 & % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_26 = e22 & ~ (all_24_19 = e23) & ~ % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e22)) | (all_24_20 = e21 & % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_31 = e22 & ~ (all_24_21 = e20) & ~ % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e22)) | (all_24_21 = e20 & % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_26 = e22 & ~ (all_24_19 = e23) & ~ % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e22)) | (all_24_21 = e20 & % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_30 = e22 & ~ (all_24_20 = e21) & ~ % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e22)) % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1772) gives: % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1773) (all_24_16 = e22 & all_24_30 = e23 & ~ (all_24_17 % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21) & ~ (all_24_28 = e23)) | (all_24_16 = % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22 & all_24_31 = e23 & ~ (all_24_18 = e20) & % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_28 = e23)) | (all_24_17 = e21 & % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_28 = e23 & ~ (all_24_16 = e22) & ~ % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e23)) | (all_24_17 = e21 & % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_31 = e23 & ~ (all_24_18 = e20) & ~ % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e23)) | (all_24_18 = e20 & % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_28 = e23 & ~ (all_24_16 = e22) & ~ % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e23)) | (all_24_18 = e20 & % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_30 = e23 & ~ (all_24_17 = e21) & ~ % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e23)) % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1773) gives: % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.56/7.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1774) (all_24_16 = e22 & all_24_30 = e23 & ~ (all_24_17 % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21) & ~ (all_24_28 = e23)) | (all_24_16 = % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22 & all_24_31 = e23 & ~ (all_24_18 = e20) & % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_28 = e23)) | (all_24_17 = e21 & % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_28 = e23 & ~ (all_24_16 = e22) & ~ % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e23)) % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1774) gives: % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1775) all_24_16 = e22 & all_24_30 = e23 & ~ (all_24_17 % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21) & ~ (all_24_28 = e23) % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1775) implies: % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1776) all_24_30 = e23 % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (725), (1776) are inconsistent by sub-proof % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #12. % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1777) (all_24_16 = e22 & all_24_31 = e23 & ~ (all_24_18 % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_28 = e23)) | (all_24_17 = % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21 & all_24_28 = e23 & ~ (all_24_16 = e22) & % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_30 = e23)) % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1777) gives: % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1778) all_24_16 = e22 & all_24_31 = e23 & ~ (all_24_18 % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_28 = e23) % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1778) implies: % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1779) all_24_31 = e23 % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1770), (1779) imply: % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1780) e23 = e21 % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (1780) imply: % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1781) $false % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1781) is inconsistent. % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1782) all_24_17 = e21 & all_24_28 = e23 & ~ (all_24_16 % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_24_30 = e23) % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1782) implies: % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1783) all_24_17 = e21 % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1657), (1783) imply: % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1784) e23 = e21 % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (1784) imply: % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1785) $false % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1785) is inconsistent. % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1786) (all_24_17 = e21 & all_24_31 = e23 & ~ (all_24_18 % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_30 = e23)) | (all_24_18 = % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 & all_24_28 = e23 & ~ (all_24_16 = e22) & % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_31 = e23)) | (all_24_18 = e20 & % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_30 = e23 & ~ (all_24_17 = e21) & ~ % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e23)) % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1786) gives: % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1787) all_24_17 = e21 & all_24_31 = e23 & ~ (all_24_18 % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_30 = e23) % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1787) implies: % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1788) all_24_31 = e23 % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1770), (1788) imply: % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1789) e23 = e21 % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (1789) imply: % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1790) $false % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1790) is inconsistent. % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1791) (all_24_18 = e20 & all_24_28 = e23 & ~ (all_24_16 % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_24_31 = e23)) | (all_24_18 = % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 & all_24_30 = e23 & ~ (all_24_17 = e21) & % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_31 = e23)) % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1791) gives: % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1792) all_24_18 = e20 & all_24_28 = e23 & ~ (all_24_16 % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_24_31 = e23) % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1792) implies: % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1793) all_24_28 = e23 % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (686), (1793) imply: % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1794) all_6_1 = e23 % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (720), (1794) imply: % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1795) $false % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1795) is inconsistent. % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1796) all_24_18 = e20 & all_24_30 = e23 & ~ (all_24_17 % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21) & ~ (all_24_31 = e23) % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1796) implies: % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1797) all_24_30 = e23 % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (725), (1797) are inconsistent by sub-proof % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #12. % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1798) (all_24_19 = e23 & all_24_30 = e22 & ~ (all_24_20 % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21) & ~ (all_24_26 = e22)) | (all_24_19 = % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23 & all_24_31 = e22 & ~ (all_24_21 = e20) & % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_26 = e22)) | (all_24_20 = e21 & % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_26 = e22 & ~ (all_24_19 = e23) & ~ % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e22)) | (all_24_20 = e21 & % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_31 = e22 & ~ (all_24_21 = e20) & ~ % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e22)) | (all_24_21 = e20 & % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_26 = e22 & ~ (all_24_19 = e23) & ~ % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e22)) | (all_24_21 = e20 & % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_30 = e22 & ~ (all_24_20 = e21) & ~ % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e22)) % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1798) gives: % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1799) (all_24_19 = e23 & all_24_30 = e22 & ~ (all_24_20 % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21) & ~ (all_24_26 = e22)) | (all_24_19 = % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23 & all_24_31 = e22 & ~ (all_24_21 = e20) & % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_26 = e22)) | (all_24_20 = e21 & % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_26 = e22 & ~ (all_24_19 = e23) & ~ % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e22)) % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1799) gives: % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1800) all_24_19 = e23 & all_24_30 = e22 & ~ (all_24_20 % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21) & ~ (all_24_26 = e22) % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1800) implies: % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1801) all_24_19 = e23 % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1699), (1801) imply: % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1802) e23 = e22 % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (725), (1802) imply: % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1803) $false % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1803) is inconsistent. % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1804) (all_24_19 = e23 & all_24_31 = e22 & ~ (all_24_21 % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_26 = e22)) | (all_24_20 = % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21 & all_24_26 = e22 & ~ (all_24_19 = e23) & % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_30 = e22)) % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1804) gives: % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1805) all_24_19 = e23 & all_24_31 = e22 & ~ (all_24_21 % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_26 = e22) % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1805) implies: % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1806) all_24_31 = e22 % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1770), (1806) imply: % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1807) e22 = e21 % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (1807) imply: % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1808) $false % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1808) is inconsistent. % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1809) all_24_20 = e21 & all_24_26 = e22 & ~ (all_24_19 % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_30 = e22) % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1809) implies: % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1810) all_24_26 = e22 % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (687), (1810) are inconsistent by sub-proof % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #11. % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1811) (all_24_20 = e21 & all_24_31 = e22 & ~ (all_24_21 % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_30 = e22)) | (all_24_21 = % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 & all_24_26 = e22 & ~ (all_24_19 = e23) & % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_31 = e22)) | (all_24_21 = e20 & % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_30 = e22 & ~ (all_24_20 = e21) & ~ % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e22)) % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1811) gives: % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1812) all_24_20 = e21 & all_24_31 = e22 & ~ (all_24_21 % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_30 = e22) % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1812) implies: % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1813) all_24_31 = e22 % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1770), (1813) imply: % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1814) e22 = e21 % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (1814) imply: % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1815) $false % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1815) is inconsistent. % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1816) (all_24_21 = e20 & all_24_26 = e22 & ~ (all_24_19 % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_31 = e22)) | (all_24_21 = % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 & all_24_30 = e22 & ~ (all_24_20 = e21) & % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_31 = e22)) % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1816) gives: % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1817) all_24_21 = e20 & all_24_26 = e22 & ~ (all_24_19 % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_31 = e22) % 45.56/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1817) implies: % 45.77/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1818) all_24_26 = e22 % 45.77/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (687), (1818) are inconsistent by sub-proof % 45.77/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #11. % 45.77/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1819) all_24_21 = e20 & all_24_30 = e22 & ~ (all_24_20 % 45.77/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21) & ~ (all_24_31 = e22) % 45.77/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1819) implies: % 45.77/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1820) all_24_21 = e20 % 45.77/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1687), (1820) imply: % 45.77/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1821) e23 = e20 % 45.77/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (1821) imply: % 45.77/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1822) $false % 45.77/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1822) is inconsistent. % 45.77/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1823) (all_24_22 = e23 & all_24_28 = e21 & ~ (all_24_23 % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_24_26 = e21)) | (all_24_22 = % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23 & all_24_31 = e21 & ~ (all_24_24 = e20) & % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_26 = e21)) | (all_24_23 = e22 & % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_26 = e21 & ~ (all_24_22 = e23) & ~ % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_28 = e21)) | (all_24_23 = e22 & % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_31 = e21 & ~ (all_24_24 = e20) & ~ % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_28 = e21)) | (all_24_24 = e20 & % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_26 = e21 & ~ (all_24_22 = e23) & ~ % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e21)) | (all_24_24 = e20 & % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_28 = e21 & ~ (all_24_23 = e22) & ~ % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e21)) | (all_24_25 = e23 & % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_28 = e20 & ~ (all_24_26 = e20) & ~ % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_27 = e22)) | (all_24_25 = e23 & % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_30 = e20 & ~ (all_24_26 = e20) & ~ % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_29 = e21)) | (all_24_26 = e20 & % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_27 = e22 & ~ (all_24_25 = e23) & ~ % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_28 = e20)) | (all_24_26 = e20 & % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_29 = e21 & ~ (all_24_25 = e23) & ~ % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e20)) | (all_24_27 = e22 & % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_30 = e20 & ~ (all_24_28 = e20) & ~ % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_29 = e21)) | (all_24_28 = e20 & % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_29 = e21 & ~ (all_24_27 = e22) & ~ % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e20)) % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1823) gives: % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1824) (all_24_22 = e23 & all_24_28 = e21 & ~ (all_24_23 % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_24_26 = e21)) | (all_24_22 = % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23 & all_24_31 = e21 & ~ (all_24_24 = e20) & % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_26 = e21)) | (all_24_23 = e22 & % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_26 = e21 & ~ (all_24_22 = e23) & ~ % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_28 = e21)) | (all_24_23 = e22 & % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_31 = e21 & ~ (all_24_24 = e20) & ~ % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_28 = e21)) | (all_24_24 = e20 & % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_26 = e21 & ~ (all_24_22 = e23) & ~ % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e21)) | (all_24_24 = e20 & % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_28 = e21 & ~ (all_24_23 = e22) & ~ % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e21)) % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1824) gives: % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1825) (all_24_22 = e23 & all_24_28 = e21 & ~ (all_24_23 % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_24_26 = e21)) | (all_24_22 = % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23 & all_24_31 = e21 & ~ (all_24_24 = e20) & % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_26 = e21)) | (all_24_23 = e22 & % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_26 = e21 & ~ (all_24_22 = e23) & ~ % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_28 = e21)) % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1825) gives: % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1826) all_24_22 = e23 & all_24_28 = e21 & ~ (all_24_23 % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_24_26 = e21) % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1826) implies: % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1827) all_24_22 = e23 % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (840), (1827) are inconsistent by sub-proof % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #10. % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1828) (all_24_22 = e23 & all_24_31 = e21 & ~ (all_24_24 % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_26 = e21)) | (all_24_23 = % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22 & all_24_26 = e21 & ~ (all_24_22 = e23) & % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_28 = e21)) % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1828) gives: % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1829) all_24_22 = e23 & all_24_31 = e21 & ~ (all_24_24 % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_26 = e21) % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1829) implies: % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1830) all_24_22 = e23 % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (840), (1830) are inconsistent by sub-proof % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #10. % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1831) all_24_23 = e22 & all_24_26 = e21 & ~ (all_24_22 % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_28 = e21) % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1831) implies: % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1832) all_24_26 = e21 % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (687), (1832) are inconsistent by sub-proof % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #9. % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1833) (all_24_23 = e22 & all_24_31 = e21 & ~ (all_24_24 % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_28 = e21)) | (all_24_24 = % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 & all_24_26 = e21 & ~ (all_24_22 = e23) & % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_31 = e21)) | (all_24_24 = e20 & % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_28 = e21 & ~ (all_24_23 = e22) & ~ % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e21)) % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1833) gives: % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1834) all_24_23 = e22 & all_24_31 = e21 & ~ (all_24_24 % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_28 = e21) % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (488), (725), (1834) are inconsistent by sub-proof % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #8. % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1835) (all_24_24 = e20 & all_24_26 = e21 & ~ (all_24_22 % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_31 = e21)) | (all_24_24 = % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 & all_24_28 = e21 & ~ (all_24_23 = e22) & % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_31 = e21)) % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1835) gives: % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1836) all_24_24 = e20 & all_24_26 = e21 & ~ (all_24_22 % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_31 = e21) % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1836) implies: % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1837) all_24_26 = e21 % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (687), (1837) are inconsistent by sub-proof % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #9. % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1838) all_24_24 = e20 & all_24_28 = e21 & ~ (all_24_23 % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_24_31 = e21) % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1838) implies: % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1839) ~ (all_24_31 = e21) % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1770), (1839) imply: % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1840) $false % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1840) is inconsistent. % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1841) (all_24_25 = e23 & all_24_28 = e20 & ~ (all_24_26 % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_27 = e22)) | (all_24_25 = % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23 & all_24_30 = e20 & ~ (all_24_26 = e20) & % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_29 = e21)) | (all_24_26 = e20 & % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_27 = e22 & ~ (all_24_25 = e23) & ~ % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_28 = e20)) | (all_24_26 = e20 & % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_29 = e21 & ~ (all_24_25 = e23) & ~ % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e20)) | (all_24_27 = e22 & % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_30 = e20 & ~ (all_24_28 = e20) & ~ % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_29 = e21)) | (all_24_28 = e20 & % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_29 = e21 & ~ (all_24_27 = e22) & ~ % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e20)) % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1841) gives: % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1842) (all_24_25 = e23 & all_24_28 = e20 & ~ (all_24_26 % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_27 = e22)) | (all_24_25 = % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23 & all_24_30 = e20 & ~ (all_24_26 = e20) & % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_29 = e21)) | (all_24_26 = e20 & % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_27 = e22 & ~ (all_24_25 = e23) & ~ % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_28 = e20)) % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1842) gives: % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1843) all_24_25 = e23 & all_24_28 = e20 & ~ (all_24_26 % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_27 = e22) % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1843) implies: % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1844) ~ (all_24_26 = e20) % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (687), (1844) imply: % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1845) $false % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1845) is inconsistent. % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1846) (all_24_25 = e23 & all_24_30 = e20 & ~ (all_24_26 % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_29 = e21)) | (all_24_26 = % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 & all_24_27 = e22 & ~ (all_24_25 = e23) & % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_28 = e20)) % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1846) gives: % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1847) all_24_25 = e23 & all_24_30 = e20 & ~ (all_24_26 % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_29 = e21) % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (475), (1847) are inconsistent by sub-proof % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #7. % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1848) all_24_26 = e20 & all_24_27 = e22 & ~ (all_24_25 % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_28 = e20) % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1848) implies: % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1849) ~ (all_24_25 = e23) % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1664), (1849) imply: % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1850) $false % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1850) is inconsistent. % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1851) (all_24_26 = e20 & all_24_29 = e21 & ~ (all_24_25 % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_30 = e20)) | (all_24_27 = % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22 & all_24_30 = e20 & ~ (all_24_28 = e20) & % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_29 = e21)) | (all_24_28 = e20 & % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_29 = e21 & ~ (all_24_27 = e22) & ~ % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e20)) % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1851) gives: % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1852) all_24_26 = e20 & all_24_29 = e21 & ~ (all_24_25 % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_30 = e20) % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1852) implies: % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1853) all_24_29 = e21 % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (470), (1771), (1853) are inconsistent by % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #6. % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1854) (all_24_27 = e22 & all_24_30 = e20 & ~ (all_24_28 % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_29 = e21)) | (all_24_28 = % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 & all_24_29 = e21 & ~ (all_24_27 = e22) & % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_30 = e20)) % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1854) gives: % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1855) all_24_27 = e22 & all_24_30 = e20 & ~ (all_24_28 % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_29 = e21) % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (475), (1855) are inconsistent by sub-proof % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #5. % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1856) all_24_28 = e20 & all_24_29 = e21 & ~ (all_24_27 % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_24_30 = e20) % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1856) implies: % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1857) all_24_29 = e21 % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (470), (1771), (1857) are inconsistent by % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #6. % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1858) all_18_1 = e20 % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (645), (1858) imply: % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1859) all_14_4 = e20 % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (708), (1859) imply: % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1860) $false % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1860) is inconsistent. % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1861) all_18_3 = e22 | all_18_3 = e21 | all_18_3 = e20 % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1861) gives: % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1862) all_18_3 = e21 % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (658), (1862) imply: % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1863) all_14_12 = e21 % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (843), (1863) imply: % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1864) $false % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1864) is inconsistent. % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1865) all_18_3 = e22 | all_18_3 = e20 % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1865) gives: % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1866) all_18_3 = e22 % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (658), (1866) imply: % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1867) all_14_12 = e22 % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (927), (1867) imply: % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1868) all_24_0 = e22 % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (1867) imply: % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1869) ~ (all_14_4 = e22) % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (735), (1867) imply: % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1870) ~ (all_10_1 = e22) % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1870) implies: % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1871) ~ (all_10_1 = e22) % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives: % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1872) all_18_1 = e23 % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (645), (1872) imply: % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1873) all_14_4 = e23 % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1873) implies: % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1874) all_14_4 = e23 % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (504), (1874) imply: % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1875) all_24_19 = e23 % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (131), (1874) imply: % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1876) ~ (all_14_7 = e23) % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1876) implies: % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1877) ~ (all_14_7 = e23) % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives: % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1878) all_20_12 = e23 % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (935), (1878) imply: % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1879) all_8_0 = e23 % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1661), (1879) imply: % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1880) $false % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1880) is inconsistent. % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1881) all_20_13 = e23 | all_20_14 = e23 | all_20_15 = % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23 % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1881) gives: % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1882) all_20_13 = e23 % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (462), (1882) imply: % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1883) all_14_7 = e23 % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1877), (1883) imply: % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1884) $false % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1884) is inconsistent. % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1885) all_20_14 = e23 | all_20_15 = e23 % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1885) gives: % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1886) all_20_14 = e23 % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (826), (1886) imply: % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1887) e23 = e20 % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1887) implies: % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1888) e23 = e20 % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (1888) imply: % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1889) $false % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1889) is inconsistent. % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1890) all_20_15 = e23 % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (456), (1890) imply: % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1891) all_10_1 = e23 % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (685), (1891) imply: % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1892) all_24_31 = e23 % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (934), (1891) imply: % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1893) all_24_14 = e23 % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (298) gives: % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1894) (all_24_0 = e23 & all_24_1 = e22 & all_24_2 = e21 % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_24_3 = e20 & ( ~ (all_24_16 = e22) | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_28 = e23) & ( ~ (all_24_17 = e21) | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_30 = e23) & ( ~ (all_24_18 = e20) | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_31 = e23)) | (all_24_4 = e23 & all_24_5 % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22 & all_24_6 = e21 & all_24_7 = e20 & ( ~ % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_19 = e23) | all_24_26 = e22) & ( ~ % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_20 = e21) | all_24_30 = e22) & ( ~ % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_21 = e20) | all_24_31 = e22)) % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1894) gives: % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1895) all_24_0 = e23 & all_24_1 = e22 & all_24_2 = e21 & % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_3 = e20 & ( ~ (all_24_16 = e22) | all_24_28 % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ( ~ (all_24_17 = e21) | all_24_30 = % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ( ~ (all_24_18 = e20) | all_24_31 = e23) % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1895) implies: % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1896) all_24_0 = e23 % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1868), (1896) imply: % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1897) e23 = e22 % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (725), (1897) imply: % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1898) $false % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1898) is inconsistent. % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1899) all_24_4 = e23 & all_24_5 = e22 & all_24_6 = e21 & % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_7 = e20 & ( ~ (all_24_19 = e23) | all_24_26 % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22) & ( ~ (all_24_20 = e21) | all_24_30 = % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ( ~ (all_24_21 = e20) | all_24_31 = e22) % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1899) implies: % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1900) ~ (all_24_19 = e23) | all_24_26 = e22 % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1900) gives: % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1901) ~ (all_24_19 = e23) % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1875), (1901) imply: % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1902) $false % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1902) is inconsistent. % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1903) all_24_26 = e22 % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (687), (1903) imply: % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1904) e22 = e20 % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (1904) imply: % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1905) $false % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1905) is inconsistent. % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1906) (all_24_8 = e23 & all_24_9 = e22 & all_24_10 = e21 % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_24_11 = e20 & ( ~ (all_24_22 = e23) | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_26 = e21) & ( ~ (all_24_23 = e22) | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_28 = e21) & ( ~ (all_24_24 = e20) | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_31 = e21)) | (all_24_12 = e23 & % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_13 = e22 & all_24_14 = e21 & all_24_15 = % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 & ( ~ (all_24_25 = e23) | all_24_26 = e20) & % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_27 = e22) | all_24_28 = e20) & ( ~ % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_29 = e21) | all_24_30 = e20)) % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1906) gives: % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1907) all_24_8 = e23 & all_24_9 = e22 & all_24_10 = e21 % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_24_11 = e20 & ( ~ (all_24_22 = e23) | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_26 = e21) & ( ~ (all_24_23 = e22) | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_28 = e21) & ( ~ (all_24_24 = e20) | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_31 = e21) % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1907) implies: % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1908) all_24_10 = e21 % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1909) ~ (all_24_24 = e20) | all_24_31 = e21 % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (932), (1908) imply: % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1910) all_14_6 = e21 % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1910) implies: % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1911) all_14_6 = e21 % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1909) gives: % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1912) ~ (all_24_24 = e20) % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (829), (1912) imply: % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1913) $false % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1913) is inconsistent. % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1914) all_24_31 = e21 % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1892), (1914) imply: % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1915) e23 = e21 % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1915) implies: % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1916) e23 = e21 % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (1916) imply: % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1917) $false % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1917) is inconsistent. % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1918) all_24_12 = e23 & all_24_13 = e22 & all_24_14 = % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21 & all_24_15 = e20 & ( ~ (all_24_25 = e23) | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_26 = e20) & ( ~ (all_24_27 = e22) | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_28 = e20) & ( ~ (all_24_29 = e21) | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_30 = e20) % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1918) implies: % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1919) all_24_14 = e21 % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1893), (1919) imply: % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1920) e23 = e21 % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1920) implies: % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1921) e23 = e21 % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (1921) imply: % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1922) $false % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1922) is inconsistent. % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1923) all_18_1 = e22 | all_18_1 = e21 | all_18_1 = e20 % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1923) gives: % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1924) all_18_1 = e21 % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (645), (1924) imply: % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1925) all_14_4 = e21 % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1925) implies: % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1926) all_14_4 = e21 % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (841), (1926) imply: % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1927) $false % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1927) is inconsistent. % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1928) all_18_1 = e22 | all_18_1 = e20 % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1928) gives: % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1929) all_18_1 = e22 % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (645), (1929) imply: % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1930) all_14_4 = e22 % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1930) implies: % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1931) all_14_4 = e22 % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1869), (1931) imply: % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1932) $false % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1932) is inconsistent. % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1933) all_18_1 = e20 % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (645), (1933) imply: % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1934) all_14_4 = e20 % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1934) implies: % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1935) all_14_4 = e20 % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (708), (1935) imply: % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1936) $false % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1936) is inconsistent. % 45.77/7.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1937) all_18_3 = e20 % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (658), (1937) imply: % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1938) all_14_12 = e20 % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (712), (1938) imply: % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1939) $false % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1939) is inconsistent. % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1940) ~ (all_18_8 = e23) % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (653), (1940) imply: % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1941) ~ (all_14_2 = e23) % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives: % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1942) all_20_0 = e23 % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (684), (1942) imply: % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1943) e23 = e20 % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1943) implies: % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1944) e23 = e20 % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (1944) imply: % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1945) $false % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1945) is inconsistent. % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1946) all_20_2 = e23 | all_20_6 = e23 | all_20_12 = e23 % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1946) gives: % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1947) all_20_2 = e23 % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (585), (1947) imply: % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1948) all_14_1 = e23 % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (714), (1948) imply: % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1949) $false % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1949) is inconsistent. % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1950) all_20_6 = e23 | all_20_12 = e23 % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1950) gives: % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1951) all_20_6 = e23 % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (586), (1951) imply: % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1952) all_14_2 = e23 % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1941), (1952) imply: % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1953) $false % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1953) is inconsistent. % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1954) all_20_12 = e23 % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (935), (1954) imply: % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1955) all_8_0 = e23 % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1955) implies: % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1956) all_8_0 = e23 % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (936), (1956) imply: % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1957) all_24_18 = e23 % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (973), (1956) imply: % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1958) all_28_96 = e23 % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (942), (1956) imply: % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1959) ~ (all_14_7 = e23) % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (944), (1956) imply: % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1960) ~ (all_10_1 = e23) % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives: % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1961) all_20_0 = e22 % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (684), (1961) imply: % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1962) e22 = e20 % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1962) implies: % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1963) e22 = e20 % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (1963) imply: % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1964) $false % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1964) is inconsistent. % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1965) all_20_2 = e22 | all_20_6 = e22 | all_20_12 = e22 % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1965) gives: % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1966) all_20_2 = e22 % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (585), (1966) imply: % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1967) all_14_1 = e22 % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (495), (1967) imply: % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1968) all_24_16 = e22 % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (912), (1967) imply: % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1969) all_24_6 = e22 % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (954), (1967) imply: % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1970) all_28_80 = e22 % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (1967) imply: % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1971) ~ (all_14_2 = e22) % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (1967) imply: % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1972) ~ (all_14_13 = e22) % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1972) implies: % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1973) ~ (all_14_13 = e22) % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (713), (1967) imply: % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1974) ~ (all_6_1 = e22) % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1974) implies: % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1975) ~ (all_6_1 = e22) % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (714), (1967) imply: % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1976) ~ (e23 = e22) % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives: % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1977) all_20_0 = e21 % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (684), (1977) imply: % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1978) e21 = e20 % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1978) implies: % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1979) e21 = e20 % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (1979) imply: % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1980) $false % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1980) is inconsistent. % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1981) all_20_2 = e21 | all_20_6 = e21 | all_20_12 = e21 % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1981) gives: % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1982) all_20_2 = e21 % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1966), (1982) imply: % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1983) e22 = e21 % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1983) implies: % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1984) e22 = e21 % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (1984) imply: % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1985) $false % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1985) is inconsistent. % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1986) all_20_6 = e21 | all_20_12 = e21 % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1986) gives: % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1987) all_20_6 = e21 % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (586), (1987) imply: % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1988) all_14_2 = e21 % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1988) implies: % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1989) all_14_2 = e21 % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (953), (1989) imply: % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1990) all_28_88 = e21 % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (137), (1989) imply: % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1991) ~ (all_14_6 = e21) % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1991) implies: % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1992) ~ (all_14_6 = e21) % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (298) gives: % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1993) (all_24_0 = e23 & all_24_1 = e22 & all_24_2 = e21 % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_24_3 = e20 & ( ~ (all_24_16 = e22) | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_28 = e23) & ( ~ (all_24_17 = e21) | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_30 = e23) & ( ~ (all_24_18 = e20) | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_31 = e23)) | (all_24_4 = e23 & all_24_5 % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22 & all_24_6 = e21 & all_24_7 = e20 & ( ~ % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_19 = e23) | all_24_26 = e22) & ( ~ % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_20 = e21) | all_24_30 = e22) & ( ~ % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_21 = e20) | all_24_31 = e22)) % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1993) gives: % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1994) all_24_0 = e23 & all_24_1 = e22 & all_24_2 = e21 & % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_3 = e20 & ( ~ (all_24_16 = e22) | all_24_28 % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ( ~ (all_24_17 = e21) | all_24_30 = % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ( ~ (all_24_18 = e20) | all_24_31 = e23) % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1994) implies: % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1995) ~ (all_24_16 = e22) | all_24_28 = e23 % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (686), (720), (1968), (1995) are inconsistent by % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #14. % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1996) all_24_4 = e23 & all_24_5 = e22 & all_24_6 = e21 & % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_7 = e20 & ( ~ (all_24_19 = e23) | all_24_26 % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22) & ( ~ (all_24_20 = e21) | all_24_30 = % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ( ~ (all_24_21 = e20) | all_24_31 = e22) % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1969), (1996) are inconsistent by sub-proof % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #13. % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1997) (all_24_8 = e23 & all_24_9 = e22 & all_24_10 = e21 % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_24_11 = e20 & ( ~ (all_24_22 = e23) | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_26 = e21) & ( ~ (all_24_23 = e22) | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_28 = e21) & ( ~ (all_24_24 = e20) | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_31 = e21)) | (all_24_12 = e23 & % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_13 = e22 & all_24_14 = e21 & all_24_15 = % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 & ( ~ (all_24_25 = e23) | all_24_26 = e20) & % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_24_27 = e22) | all_24_28 = e20) & ( ~ % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_29 = e21) | all_24_30 = e20)) % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1997) gives: % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1998) all_24_8 = e23 & all_24_9 = e22 & all_24_10 = e21 % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_24_11 = e20 & ( ~ (all_24_22 = e23) | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_26 = e21) & ( ~ (all_24_23 = e22) | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_28 = e21) & ( ~ (all_24_24 = e20) | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_31 = e21) % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1998) implies: % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1999) all_24_10 = e21 % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (932), (1999) imply: % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2000) all_14_6 = e21 % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2000) implies: % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2001) all_14_6 = e21 % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1992), (2001) imply: % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2002) $false % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2002) is inconsistent. % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2003) all_24_12 = e23 & all_24_13 = e22 & all_24_14 = % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21 & all_24_15 = e20 & ( ~ (all_24_25 = e23) | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_26 = e20) & ( ~ (all_24_27 = e22) | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_28 = e20) & ( ~ (all_24_29 = e21) | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_30 = e20) % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2003) implies: % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2004) all_24_14 = e21 % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (934), (2004) imply: % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2005) all_10_1 = e21 % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2005) implies: % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2006) all_10_1 = e21 % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (456), (2006) imply: % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2007) all_20_15 = e21 % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (685), (2006) imply: % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2008) all_24_31 = e21 % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (970), (2006) imply: % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2009) all_28_105 = e21 % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (736), (2006) imply: % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2010) ~ (all_14_13 = e21) % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (737), (2006) imply: % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2011) ~ (all_14_14 = e21) % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives: % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2012) all_18_13 = e23 % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (664), (2012) imply: % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2013) all_14_7 = e23 % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2013) implies: % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2014) all_14_7 = e23 % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1959), (2014) imply: % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2015) $false % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2015) is inconsistent. % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2016) all_18_13 = e22 | all_18_13 = e21 | all_18_13 = % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives: % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2017) all_20_2 = e21 % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1966), (2017) imply: % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2018) e22 = e21 % 45.77/7.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (2018) imply: % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2019) $false % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2019) is inconsistent. % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2020) all_20_3 = e21 | all_20_5 = e21 | all_20_10 = e21 % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2020) gives: % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2021) all_20_3 = e21 % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (490), (2021) imply: % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2022) all_6_1 = e21 % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2022) implies: % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2023) all_6_1 = e21 % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (686), (2023) imply: % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2024) all_24_28 = e21 % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (928), (2023) imply: % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2025) all_28_82 = e21 % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (719), (2023) imply: % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2026) ~ (all_14_7 = e21) % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives: % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2027) all_20_1 = e20 % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (591), (2027) imply: % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2028) all_14_4 = e20 % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (708), (2028) imply: % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2029) $false % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2029) is inconsistent. % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2030) all_20_3 = e20 | all_20_7 = e20 | all_20_13 = e20 % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2030) gives: % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2031) all_20_3 = e20 % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2021), (2031) imply: % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2032) e21 = e20 % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (2032) imply: % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2033) $false % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2033) is inconsistent. % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2034) ~ (all_20_3 = e20) % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2035) all_20_7 = e20 | all_20_13 = e20 % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (297) gives: % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2036) (all_24_16 = e22 & all_24_30 = e23 & ~ (all_24_17 % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21) & ~ (all_24_28 = e23)) | (all_24_16 = % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22 & all_24_31 = e23 & ~ (all_24_18 = e20) & % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_28 = e23)) | (all_24_17 = e21 & % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_28 = e23 & ~ (all_24_16 = e22) & ~ % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e23)) | (all_24_17 = e21 & % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_31 = e23 & ~ (all_24_18 = e20) & ~ % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e23)) | (all_24_18 = e20 & % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_28 = e23 & ~ (all_24_16 = e22) & ~ % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e23)) | (all_24_18 = e20 & % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_30 = e23 & ~ (all_24_17 = e21) & ~ % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e23)) | (all_24_19 = e23 & % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_30 = e22 & ~ (all_24_20 = e21) & ~ % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_26 = e22)) | (all_24_19 = e23 & % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_31 = e22 & ~ (all_24_21 = e20) & ~ % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_26 = e22)) | (all_24_20 = e21 & % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_26 = e22 & ~ (all_24_19 = e23) & ~ % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e22)) | (all_24_20 = e21 & % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_31 = e22 & ~ (all_24_21 = e20) & ~ % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e22)) | (all_24_21 = e20 & % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_26 = e22 & ~ (all_24_19 = e23) & ~ % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e22)) | (all_24_21 = e20 & % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_30 = e22 & ~ (all_24_20 = e21) & ~ % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e22)) % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2036) gives: % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2037) (all_24_16 = e22 & all_24_30 = e23 & ~ (all_24_17 % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21) & ~ (all_24_28 = e23)) | (all_24_16 = % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22 & all_24_31 = e23 & ~ (all_24_18 = e20) & % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_28 = e23)) | (all_24_17 = e21 & % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_28 = e23 & ~ (all_24_16 = e22) & ~ % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e23)) | (all_24_17 = e21 & % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_31 = e23 & ~ (all_24_18 = e20) & ~ % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e23)) | (all_24_18 = e20 & % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_28 = e23 & ~ (all_24_16 = e22) & ~ % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e23)) | (all_24_18 = e20 & % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_30 = e23 & ~ (all_24_17 = e21) & ~ % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e23)) % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2037) gives: % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2038) (all_24_16 = e22 & all_24_30 = e23 & ~ (all_24_17 % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21) & ~ (all_24_28 = e23)) | (all_24_16 = % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22 & all_24_31 = e23 & ~ (all_24_18 = e20) & % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_28 = e23)) | (all_24_17 = e21 & % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_28 = e23 & ~ (all_24_16 = e22) & ~ % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e23)) % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2038) gives: % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2039) all_24_16 = e22 & all_24_30 = e23 & ~ (all_24_17 % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21) & ~ (all_24_28 = e23) % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2039) implies: % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2040) all_24_30 = e23 % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (725), (2040) are inconsistent by sub-proof % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #12. % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2041) (all_24_16 = e22 & all_24_31 = e23 & ~ (all_24_18 % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_28 = e23)) | (all_24_17 = % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21 & all_24_28 = e23 & ~ (all_24_16 = e22) & % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_30 = e23)) % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2041) gives: % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2042) all_24_16 = e22 & all_24_31 = e23 & ~ (all_24_18 % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_28 = e23) % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2042) implies: % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2043) all_24_31 = e23 % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (2008), (2043) are inconsistent by sub-proof % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #4. % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2044) all_24_17 = e21 & all_24_28 = e23 & ~ (all_24_16 % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_24_30 = e23) % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2044) implies: % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2045) all_24_28 = e23 % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2024), (2045) imply: % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2046) e23 = e21 % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (2046) imply: % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2047) $false % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2047) is inconsistent. % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2048) (all_24_17 = e21 & all_24_31 = e23 & ~ (all_24_18 % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_30 = e23)) | (all_24_18 = % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 & all_24_28 = e23 & ~ (all_24_16 = e22) & % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_31 = e23)) | (all_24_18 = e20 & % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_30 = e23 & ~ (all_24_17 = e21) & ~ % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e23)) % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2048) gives: % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2049) all_24_17 = e21 & all_24_31 = e23 & ~ (all_24_18 % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_30 = e23) % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2049) implies: % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2050) all_24_31 = e23 % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (2008), (2050) are inconsistent by sub-proof % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #4. % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2051) (all_24_18 = e20 & all_24_28 = e23 & ~ (all_24_16 % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_24_31 = e23)) | (all_24_18 = % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 & all_24_30 = e23 & ~ (all_24_17 = e21) & % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_31 = e23)) % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2051) gives: % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2052) all_24_18 = e20 & all_24_28 = e23 & ~ (all_24_16 % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_24_31 = e23) % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2052) implies: % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2053) all_24_28 = e23 % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2054) all_24_18 = e20 % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1957), (2054) imply: % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2055) e23 = e20 % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2055) implies: % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2056) e23 = e20 % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2024), (2053) imply: % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2057) e23 = e21 % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2056), (2057) imply: % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2058) e21 = e20 % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2058) implies: % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2059) e21 = e20 % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (2059) imply: % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2060) $false % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2060) is inconsistent. % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2061) all_24_18 = e20 & all_24_30 = e23 & ~ (all_24_17 % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21) & ~ (all_24_31 = e23) % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2061) implies: % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2062) all_24_30 = e23 % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2063) all_24_18 = e20 % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1957), (2063) imply: % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2064) e23 = e20 % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2064) implies: % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2065) e23 = e20 % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (2062) imply: % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2066) e23 = e22 % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2066) implies: % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2067) e23 = e22 % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2065), (2067) imply: % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2068) e22 = e20 % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2068) implies: % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2069) e22 = e20 % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (2069) imply: % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2070) $false % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2070) is inconsistent. % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2071) (all_24_19 = e23 & all_24_30 = e22 & ~ (all_24_20 % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21) & ~ (all_24_26 = e22)) | (all_24_19 = % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23 & all_24_31 = e22 & ~ (all_24_21 = e20) & % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_26 = e22)) | (all_24_20 = e21 & % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_26 = e22 & ~ (all_24_19 = e23) & ~ % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e22)) | (all_24_20 = e21 & % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_31 = e22 & ~ (all_24_21 = e20) & ~ % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e22)) | (all_24_21 = e20 & % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_26 = e22 & ~ (all_24_19 = e23) & ~ % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e22)) | (all_24_21 = e20 & % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_30 = e22 & ~ (all_24_20 = e21) & ~ % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e22)) % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2071) gives: % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2072) (all_24_19 = e23 & all_24_30 = e22 & ~ (all_24_20 % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21) & ~ (all_24_26 = e22)) | (all_24_19 = % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23 & all_24_31 = e22 & ~ (all_24_21 = e20) & % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_26 = e22)) | (all_24_20 = e21 & % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_26 = e22 & ~ (all_24_19 = e23) & ~ % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e22)) % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2072) gives: % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2073) all_24_19 = e23 & all_24_30 = e22 & ~ (all_24_20 % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21) & ~ (all_24_26 = e22) % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2073) implies: % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2074) all_24_19 = e23 % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2075) ~ (all_24_20 = e21) % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (504), (2074) imply: % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2076) all_14_4 = e23 % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2076) implies: % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2077) all_14_4 = e23 % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (956), (2077) imply: % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2078) all_28_74 = e23 % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (132), (2077) imply: % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2079) ~ (all_14_6 = e23) % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2079) implies: % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2080) ~ (all_14_6 = e23) % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (2077) imply: % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2081) ~ (all_14_12 = e23) % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2081) implies: % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2082) ~ (all_14_12 = e23) % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2035) gives: % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2083) all_20_7 = e20 % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (592), (2083) imply: % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2084) all_14_6 = e20 % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (906), (2084) imply: % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2085) all_28_90 = e20 % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (2084) imply: % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2086) ~ (all_14_7 = e20) % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (124), (2084) imply: % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2087) ~ (all_14_14 = e20) % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2087) implies: % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2088) ~ (all_14_14 = e20) % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1992), (2084) imply: % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2089) ~ (e21 = e20) % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives: % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2090) all_18_11 = e23 % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (661), (2090) imply: % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2091) all_14_14 = e23 % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (611), (2091) imply: % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2092) all_20_11 = e23 % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (974), (2091) imply: % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2093) all_28_94 = e23 % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives: % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2094) all_20_2 = e20 % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1966), (2094) imply: % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2095) e22 = e20 % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (2095) imply: % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2096) $false % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2096) is inconsistent. % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2097) all_20_3 = e20 | all_20_5 = e20 | all_20_10 = e20 % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2016) gives: % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2098) all_18_13 = e21 % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (664), (2098) imply: % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2099) all_14_7 = e21 % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2099) implies: % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2100) all_14_7 = e21 % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2026), (2100) imply: % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2101) $false % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2101) is inconsistent. % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2102) all_18_13 = e22 | all_18_13 = e20 % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2102) gives: % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2103) all_18_13 = e22 % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (664), (2103) imply: % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2104) all_14_7 = e22 % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2104) implies: % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2105) all_14_7 = e22 % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (972), (2105) imply: % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2106) all_28_99 = e22 % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives: % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2107) all_20_9 = e22 % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (602), (2107) imply: % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2108) all_14_12 = e22 % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (976), (2108) imply: % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2109) all_28_78 = e22 % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2097) gives: % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2110) all_20_3 = e20 % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2021), (2110) imply: % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2111) e21 = e20 % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (2111) imply: % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2112) $false % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2112) is inconsistent. % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2113) all_20_5 = e20 | all_20_10 = e20 % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2113) gives: % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2114) all_20_5 = e20 % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (599), (2114) imply: % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2115) e23 = e20 % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (2115) imply: % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2116) $false % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2116) is inconsistent. % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2117) all_20_10 = e20 % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (606), (2117) imply: % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2118) all_14_13 = e20 % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2118) implies: % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2119) all_14_13 = e20 % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (975), (2119) imply: % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2120) all_28_86 = e20 % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (387) gives: % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2121) ~ (all_28_72 = all_28_73) % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (960), (961), (2121) imply: % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2122) $false % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2122) is inconsistent. % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2123) ~ (all_28_74 = all_28_75) | ~ (all_28_76 = % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_77) | ~ (all_28_78 = all_28_79) | ~ % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_80 = all_28_81) | ~ (all_28_82 = % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_83) | ~ (all_28_84 = all_28_85) | ~ % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_86 = all_28_87) | ~ (all_28_88 = % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_89) | ~ (all_28_90 = all_28_91) | ~ % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_92 = all_28_93) | ~ (all_28_94 = % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_95) | ~ (all_28_96 = all_28_98) | ~ % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_99 = all_28_101) | ~ (all_28_102 = % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_104) | ~ (all_28_105 = all_28_107) | ( ~ % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_97 = e23) & ~ (all_28_100 = e23) & ~ % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e23) & ~ (all_28_106 = e23)) | ( % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_97 = e22) & ~ (all_28_100 = e22) & ~ % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e22) & ~ (all_28_106 = e22)) | ( % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_97 = e21) & ~ (all_28_100 = e21) & ~ % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e21) & ~ (all_28_106 = e21)) | ( % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_97 = e20) & ~ (all_28_100 = e20) & ~ % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e20) & ~ (all_28_106 = e20)) % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2123) gives: % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2124) ~ (all_28_74 = all_28_75) % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1477), (2078), (2124) imply: % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2125) $false % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2125) is inconsistent. % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2126) ~ (all_28_76 = all_28_77) | ~ (all_28_78 = % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_79) | ~ (all_28_80 = all_28_81) | ~ % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_82 = all_28_83) | ~ (all_28_84 = % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_85) | ~ (all_28_86 = all_28_87) | ~ % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_88 = all_28_89) | ~ (all_28_90 = % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_91) | ~ (all_28_92 = all_28_93) | ~ % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_94 = all_28_95) | ~ (all_28_96 = % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_98) | ~ (all_28_99 = all_28_101) | ~ % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_102 = all_28_104) | ~ (all_28_105 = % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_107) | ( ~ (all_28_97 = e23) & ~ % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_100 = e23) & ~ (all_28_103 = e23) & ~ % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_106 = e23)) | ( ~ (all_28_97 = e22) & ~ % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_100 = e22) & ~ (all_28_103 = e22) & ~ % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_106 = e22)) | ( ~ (all_28_97 = e21) & ~ % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_100 = e21) & ~ (all_28_103 = e21) & ~ % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_106 = e21)) | ( ~ (all_28_97 = e20) & ~ % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_100 = e20) & ~ (all_28_103 = e20) & ~ % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_106 = e20)) % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2126) gives: % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2127) ~ (all_28_76 = all_28_77) % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (920), (955), (2127) imply: % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2128) $false % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2128) is inconsistent. % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2129) ~ (all_28_78 = all_28_79) | ~ (all_28_80 = % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_81) | ~ (all_28_82 = all_28_83) | ~ % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_84 = all_28_85) | ~ (all_28_86 = % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_87) | ~ (all_28_88 = all_28_89) | ~ % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_90 = all_28_91) | ~ (all_28_92 = % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_93) | ~ (all_28_94 = all_28_95) | ~ % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_96 = all_28_98) | ~ (all_28_99 = % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_101) | ~ (all_28_102 = all_28_104) | ~ % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_105 = all_28_107) | ( ~ (all_28_97 = e23) % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_100 = e23) & ~ (all_28_103 = e23) % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_106 = e23)) | ( ~ (all_28_97 = e22) % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_100 = e22) & ~ (all_28_103 = e22) % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_106 = e22)) | ( ~ (all_28_97 = e21) % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_100 = e21) & ~ (all_28_103 = e21) % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_106 = e21)) | ( ~ (all_28_97 = e20) % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_100 = e20) & ~ (all_28_103 = e20) % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_106 = e20)) % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2129) gives: % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2130) ~ (all_28_78 = all_28_79) % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1476), (2109), (2130) imply: % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2131) $false % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2131) is inconsistent. % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2132) ~ (all_28_80 = all_28_81) | ~ (all_28_82 = % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_83) | ~ (all_28_84 = all_28_85) | ~ % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_86 = all_28_87) | ~ (all_28_88 = % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_89) | ~ (all_28_90 = all_28_91) | ~ % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_92 = all_28_93) | ~ (all_28_94 = % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_95) | ~ (all_28_96 = all_28_98) | ~ % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_99 = all_28_101) | ~ (all_28_102 = % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_104) | ~ (all_28_105 = all_28_107) | ( ~ % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_97 = e23) & ~ (all_28_100 = e23) & ~ % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e23) & ~ (all_28_106 = e23)) | ( % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_97 = e22) & ~ (all_28_100 = e22) & ~ % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e22) & ~ (all_28_106 = e22)) | ( % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_97 = e21) & ~ (all_28_100 = e21) & ~ % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e21) & ~ (all_28_106 = e21)) | ( % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_97 = e20) & ~ (all_28_100 = e20) & ~ % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e20) & ~ (all_28_106 = e20)) % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2132) gives: % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2133) ~ (all_28_80 = all_28_81) % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1642), (1970), (2133) imply: % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2134) $false % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2134) is inconsistent. % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2135) ~ (all_28_82 = all_28_83) | ~ (all_28_84 = % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_85) | ~ (all_28_86 = all_28_87) | ~ % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_88 = all_28_89) | ~ (all_28_90 = % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_91) | ~ (all_28_92 = all_28_93) | ~ % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_94 = all_28_95) | ~ (all_28_96 = % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_98) | ~ (all_28_99 = all_28_101) | ~ % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_102 = all_28_104) | ~ (all_28_105 = % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_107) | ( ~ (all_28_97 = e23) & ~ % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_100 = e23) & ~ (all_28_103 = e23) & ~ % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_106 = e23)) | ( ~ (all_28_97 = e22) & ~ % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_100 = e22) & ~ (all_28_103 = e22) & ~ % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_106 = e22)) | ( ~ (all_28_97 = e21) & ~ % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_100 = e21) & ~ (all_28_103 = e21) & ~ % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_106 = e21)) | ( ~ (all_28_97 = e20) & ~ % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_100 = e20) & ~ (all_28_103 = e20) & ~ % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_106 = e20)) % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2135) gives: % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2136) ~ (all_28_82 = all_28_83) % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1640), (2025), (2136) imply: % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2137) $false % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2137) is inconsistent. % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2138) ~ (all_28_84 = all_28_85) | ~ (all_28_86 = % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_87) | ~ (all_28_88 = all_28_89) | ~ % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_90 = all_28_91) | ~ (all_28_92 = % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_93) | ~ (all_28_94 = all_28_95) | ~ % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_96 = all_28_98) | ~ (all_28_99 = % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_101) | ~ (all_28_102 = all_28_104) | ~ % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_105 = all_28_107) | ( ~ (all_28_97 = e23) % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_100 = e23) & ~ (all_28_103 = e23) % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_106 = e23)) | ( ~ (all_28_97 = e22) % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_100 = e22) & ~ (all_28_103 = e22) % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_106 = e22)) | ( ~ (all_28_97 = e21) % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_100 = e21) & ~ (all_28_103 = e21) % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_106 = e21)) | ( ~ (all_28_97 = e20) % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_100 = e20) & ~ (all_28_103 = e20) % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_106 = e20)) % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2138) gives: % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2139) ~ (all_28_84 = all_28_85) % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (908), (938), (2139) imply: % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2140) $false % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2140) is inconsistent. % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2141) ~ (all_28_86 = all_28_87) | ~ (all_28_88 = % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_89) | ~ (all_28_90 = all_28_91) | ~ % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_92 = all_28_93) | ~ (all_28_94 = % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_95) | ~ (all_28_96 = all_28_98) | ~ % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_99 = all_28_101) | ~ (all_28_102 = % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_104) | ~ (all_28_105 = all_28_107) | ( ~ % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_97 = e23) & ~ (all_28_100 = e23) & ~ % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e23) & ~ (all_28_106 = e23)) | ( % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_97 = e22) & ~ (all_28_100 = e22) & ~ % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e22) & ~ (all_28_106 = e22)) | ( % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_97 = e21) & ~ (all_28_100 = e21) & ~ % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e21) & ~ (all_28_106 = e21)) | ( % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_97 = e20) & ~ (all_28_100 = e20) & ~ % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e20) & ~ (all_28_106 = e20)) % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2141) gives: % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2142) ~ (all_28_86 = all_28_87) % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1637), (2120), (2142) imply: % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2143) $false % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2143) is inconsistent. % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2144) ~ (all_28_88 = all_28_89) | ~ (all_28_90 = % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_91) | ~ (all_28_92 = all_28_93) | ~ % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_94 = all_28_95) | ~ (all_28_96 = % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_98) | ~ (all_28_99 = all_28_101) | ~ % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_102 = all_28_104) | ~ (all_28_105 = % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_107) | ( ~ (all_28_97 = e23) & ~ % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_100 = e23) & ~ (all_28_103 = e23) & ~ % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_106 = e23)) | ( ~ (all_28_97 = e22) & ~ % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_100 = e22) & ~ (all_28_103 = e22) & ~ % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_106 = e22)) | ( ~ (all_28_97 = e21) & ~ % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_100 = e21) & ~ (all_28_103 = e21) & ~ % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_106 = e21)) | ( ~ (all_28_97 = e20) & ~ % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_100 = e20) & ~ (all_28_103 = e20) & ~ % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_106 = e20)) % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2144) gives: % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2145) ~ (all_28_88 = all_28_89) % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1649), (1990), (2145) imply: % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2146) $false % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2146) is inconsistent. % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2147) ~ (all_28_90 = all_28_91) | ~ (all_28_92 = % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_93) | ~ (all_28_94 = all_28_95) | ~ % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_96 = all_28_98) | ~ (all_28_99 = % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_101) | ~ (all_28_102 = all_28_104) | ~ % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_105 = all_28_107) | ( ~ (all_28_97 = e23) % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_100 = e23) & ~ (all_28_103 = e23) % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_106 = e23)) | ( ~ (all_28_97 = e22) % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_100 = e22) & ~ (all_28_103 = e22) % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_106 = e22)) | ( ~ (all_28_97 = e21) % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_100 = e21) & ~ (all_28_103 = e21) % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_106 = e21)) | ( ~ (all_28_97 = e20) % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_100 = e20) & ~ (all_28_103 = e20) % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_106 = e20)) % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2147) gives: % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2148) ~ (all_28_90 = all_28_91) % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1651), (2085), (2148) imply: % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2149) $false % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2149) is inconsistent. % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2150) ~ (all_28_92 = all_28_93) | ~ (all_28_94 = % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_95) | ~ (all_28_96 = all_28_98) | ~ % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_99 = all_28_101) | ~ (all_28_102 = % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_104) | ~ (all_28_105 = all_28_107) | ( ~ % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_97 = e23) & ~ (all_28_100 = e23) & ~ % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e23) & ~ (all_28_106 = e23)) | ( % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_97 = e22) & ~ (all_28_100 = e22) & ~ % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e22) & ~ (all_28_106 = e22)) | ( % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_97 = e21) & ~ (all_28_100 = e21) & ~ % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e21) & ~ (all_28_106 = e21)) | ( % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_97 = e20) & ~ (all_28_100 = e20) & ~ % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e20) & ~ (all_28_106 = e20)) % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2150) gives: % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2151) ~ (all_28_92 = all_28_93) % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (905), (921), (2151) imply: % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2152) $false % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2152) is inconsistent. % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2153) ~ (all_28_94 = all_28_95) | ~ (all_28_96 = % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_98) | ~ (all_28_99 = all_28_101) | ~ % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_102 = all_28_104) | ~ (all_28_105 = % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_107) | ( ~ (all_28_97 = e23) & ~ % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_100 = e23) & ~ (all_28_103 = e23) & ~ % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_106 = e23)) | ( ~ (all_28_97 = e22) & ~ % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_100 = e22) & ~ (all_28_103 = e22) & ~ % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_106 = e22)) | ( ~ (all_28_97 = e21) & ~ % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_100 = e21) & ~ (all_28_103 = e21) & ~ % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_106 = e21)) | ( ~ (all_28_97 = e20) & ~ % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_100 = e20) & ~ (all_28_103 = e20) & ~ % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_106 = e20)) % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2153) gives: % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2154) ~ (all_28_94 = all_28_95) % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1644), (2093), (2154) imply: % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2155) $false % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2155) is inconsistent. % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2156) ~ (all_28_96 = all_28_98) | ~ (all_28_99 = % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_101) | ~ (all_28_102 = all_28_104) | ~ % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_105 = all_28_107) | ( ~ (all_28_97 = e23) % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_100 = e23) & ~ (all_28_103 = e23) % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_106 = e23)) | ( ~ (all_28_97 = e22) % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_100 = e22) & ~ (all_28_103 = e22) % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_106 = e22)) | ( ~ (all_28_97 = e21) % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_100 = e21) & ~ (all_28_103 = e21) % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_106 = e21)) | ( ~ (all_28_97 = e20) % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_100 = e20) & ~ (all_28_103 = e20) % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_106 = e20)) % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2156) gives: % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2157) ~ (all_28_96 = all_28_98) % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1654), (1958), (2157) imply: % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2158) $false % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2158) is inconsistent. % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2159) ~ (all_28_99 = all_28_101) | ~ (all_28_102 = % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_104) | ~ (all_28_105 = all_28_107) | ( ~ % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_97 = e23) & ~ (all_28_100 = e23) & ~ % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e23) & ~ (all_28_106 = e23)) | ( % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_97 = e22) & ~ (all_28_100 = e22) & ~ % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e22) & ~ (all_28_106 = e22)) | ( % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_97 = e21) & ~ (all_28_100 = e21) & ~ % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e21) & ~ (all_28_106 = e21)) | ( % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_97 = e20) & ~ (all_28_100 = e20) & ~ % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e20) & ~ (all_28_106 = e20)) % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2159) gives: % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2160) ~ (all_28_99 = all_28_101) % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1647), (2106), (2160) imply: % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2161) $false % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2161) is inconsistent. % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2162) ~ (all_28_102 = all_28_104) | ~ (all_28_105 = % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_107) | ( ~ (all_28_97 = e23) & ~ % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_100 = e23) & ~ (all_28_103 = e23) & ~ % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_106 = e23)) | ( ~ (all_28_97 = e22) & ~ % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_100 = e22) & ~ (all_28_103 = e22) & ~ % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_106 = e22)) | ( ~ (all_28_97 = e21) & ~ % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_100 = e21) & ~ (all_28_103 = e21) & ~ % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_106 = e21)) | ( ~ (all_28_97 = e20) & ~ % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_100 = e20) & ~ (all_28_103 = e20) & ~ % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_106 = e20)) % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2162) gives: % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2163) ~ (all_28_102 = all_28_104) % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (959), (971), (2163) imply: % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2164) $false % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2164) is inconsistent. % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2165) ~ (all_28_105 = all_28_107) | ( ~ (all_28_97 = % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_28_100 = e23) & ~ (all_28_103 % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_28_106 = e23)) | ( ~ % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_97 = e22) & ~ (all_28_100 = e22) & ~ % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e22) & ~ (all_28_106 = e22)) | ( % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_97 = e21) & ~ (all_28_100 = e21) & ~ % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e21) & ~ (all_28_106 = e21)) | ( % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_97 = e20) & ~ (all_28_100 = e20) & ~ % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e20) & ~ (all_28_106 = e20)) % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2165) gives: % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2166) ~ (all_28_105 = all_28_107) % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1653), (2009), (2166) imply: % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2167) $false % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2167) is inconsistent. % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2168) ( ~ (all_28_97 = e23) & ~ (all_28_100 = e23) & ~ % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e23) & ~ (all_28_106 = e23)) | ( % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_97 = e22) & ~ (all_28_100 = e22) & ~ % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e22) & ~ (all_28_106 = e22)) | ( % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_97 = e21) & ~ (all_28_100 = e21) & ~ % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e21) & ~ (all_28_106 = e21)) | ( % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_97 = e20) & ~ (all_28_100 = e20) & ~ % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e20) & ~ (all_28_106 = e20)) % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2168) gives: % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2169) ( ~ (all_28_97 = e23) & ~ (all_28_100 = e23) & ~ % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e23) & ~ (all_28_106 = e23)) | ( % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_97 = e22) & ~ (all_28_100 = e22) & ~ % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e22) & ~ (all_28_106 = e22)) % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2169) gives: % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2170) ~ (all_28_97 = e23) & ~ (all_28_100 = e23) & ~ % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e23) & ~ (all_28_106 = e23) % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2170) implies: % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2171) ~ (all_28_97 = e23) % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (937), (2171) imply: % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2172) $false % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2172) is inconsistent. % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2173) ~ (all_28_97 = e22) & ~ (all_28_100 = e22) & ~ % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e22) & ~ (all_28_106 = e22) % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2173) implies: % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2174) ~ (all_28_100 = e22) % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (703), (2174) imply: % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2175) $false % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2175) is inconsistent. % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2176) ( ~ (all_28_97 = e21) & ~ (all_28_100 = e21) & ~ % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e21) & ~ (all_28_106 = e21)) | ( % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_97 = e20) & ~ (all_28_100 = e20) & ~ % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e20) & ~ (all_28_106 = e20)) % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2176) gives: % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2177) ~ (all_28_97 = e21) & ~ (all_28_100 = e21) & ~ % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e21) & ~ (all_28_106 = e21) % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2177) implies: % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2178) ~ (all_28_103 = e21) % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (512), (2178) imply: % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2179) $false % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2179) is inconsistent. % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2180) ~ (all_28_97 = e20) & ~ (all_28_100 = e20) & ~ % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e20) & ~ (all_28_106 = e20) % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2180) implies: % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2181) ~ (all_28_106 = e20) % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (958), (2181) imply: % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2182) $false % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2182) is inconsistent. % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2183) all_20_10 = e22 | all_20_11 = e22 | all_20_15 = % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22 % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2183) gives: % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2184) all_20_10 = e22 % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (606), (2184) imply: % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2185) all_14_13 = e22 % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2185) implies: % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2186) all_14_13 = e22 % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1973), (2186) imply: % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2187) $false % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2187) is inconsistent. % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2188) all_20_11 = e22 | all_20_15 = e22 % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2188) gives: % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2189) all_20_11 = e22 % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2092), (2189) imply: % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2190) e23 = e22 % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2190) implies: % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2191) e23 = e22 % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (725), (2191) imply: % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2192) $false % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2192) is inconsistent. % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2193) all_20_15 = e22 % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2007), (2193) imply: % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2194) e22 = e21 % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2194) implies: % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2195) e22 = e21 % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (2195) imply: % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2196) $false % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2196) is inconsistent. % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2197) all_18_13 = e20 % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (664), (2197) imply: % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2198) all_14_7 = e20 % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2198) implies: % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2199) all_14_7 = e20 % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (830), (2199) imply: % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2200) $false % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2200) is inconsistent. % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2201) ~ (all_18_11 = e23) % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (661), (2201) imply: % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2202) ~ (all_14_14 = e23) % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives: % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2203) all_20_9 = e23 % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (602), (2203) imply: % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2204) all_14_12 = e23 % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2204) implies: % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2205) all_14_12 = e23 % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2082), (2205) imply: % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2206) $false % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2206) is inconsistent. % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2207) all_20_10 = e23 | all_20_11 = e23 | all_20_15 = % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23 % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives: % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2208) all_20_2 = e20 % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1966), (2208) imply: % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2209) e22 = e20 % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (2209) imply: % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2210) $false % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2210) is inconsistent. % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2211) all_20_3 = e20 | all_20_5 = e20 | all_20_10 = e20 % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2211) gives: % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2212) all_20_3 = e20 % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2021), (2212) imply: % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2213) e21 = e20 % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (2213) imply: % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2214) $false % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2214) is inconsistent. % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2215) all_20_5 = e20 | all_20_10 = e20 % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2215) gives: % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2216) all_20_5 = e20 % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (599), (2216) imply: % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2217) e23 = e20 % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (2217) imply: % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2218) $false % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2218) is inconsistent. % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2219) all_20_10 = e20 % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (606), (2219) imply: % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2220) all_14_13 = e20 % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2220) implies: % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2221) all_14_13 = e20 % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2207) gives: % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2222) all_20_10 = e23 % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2219), (2222) imply: % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2223) e23 = e20 % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (2223) imply: % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2224) $false % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2224) is inconsistent. % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2225) all_20_11 = e23 | all_20_15 = e23 % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2225) gives: % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2226) all_20_11 = e23 % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (611), (2226) imply: % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2227) all_14_14 = e23 % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2227) implies: % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2228) all_14_14 = e23 % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2202), (2228) imply: % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2229) $false % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2229) is inconsistent. % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2230) all_20_15 = e23 % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2007), (2230) imply: % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2231) e23 = e21 % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (2231) imply: % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2232) $false % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2232) is inconsistent. % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2233) all_20_13 = e20 % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (462), (2233) imply: % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2234) all_14_7 = e20 % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (830), (2234) imply: % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2235) $false % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2235) is inconsistent. % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2236) (all_24_19 = e23 & all_24_31 = e22 & ~ (all_24_21 % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_26 = e22)) | (all_24_20 = % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21 & all_24_26 = e22 & ~ (all_24_19 = e23) & % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_30 = e22)) % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2236) gives: % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2237) all_24_19 = e23 & all_24_31 = e22 & ~ (all_24_21 % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_26 = e22) % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2237) implies: % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2238) all_24_31 = e22 % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2008), (2238) are inconsistent by sub-proof % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3. % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2239) all_24_20 = e21 & all_24_26 = e22 & ~ (all_24_19 % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_30 = e22) % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2239) implies: % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2240) all_24_26 = e22 % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (687), (2240) imply: % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2241) e22 = e20 % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (2241) imply: % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2242) $false % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2242) is inconsistent. % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2243) (all_24_20 = e21 & all_24_31 = e22 & ~ (all_24_21 % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_30 = e22)) | (all_24_21 = % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 & all_24_26 = e22 & ~ (all_24_19 = e23) & % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_31 = e22)) | (all_24_21 = e20 & % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_30 = e22 & ~ (all_24_20 = e21) & ~ % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e22)) % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2243) gives: % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2244) all_24_20 = e21 & all_24_31 = e22 & ~ (all_24_21 % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_30 = e22) % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2244) implies: % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2245) all_24_31 = e22 % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2008), (2245) are inconsistent by sub-proof % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #3. % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2246) (all_24_21 = e20 & all_24_26 = e22 & ~ (all_24_19 % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_31 = e22)) | (all_24_21 = % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 & all_24_30 = e22 & ~ (all_24_20 = e21) & % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_31 = e22)) % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2246) gives: % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2247) all_24_21 = e20 & all_24_26 = e22 & ~ (all_24_19 % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_31 = e22) % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2247) implies: % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2248) all_24_26 = e22 % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (687), (2248) imply: % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2249) e22 = e20 % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (2249) imply: % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2250) $false % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2250) is inconsistent. % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2251) all_24_21 = e20 & all_24_30 = e22 & ~ (all_24_20 % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21) & ~ (all_24_31 = e22) % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2251) implies: % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2252) all_24_21 = e20 % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (688), (2252) imply: % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2253) all_14_7 = e20 % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2253) implies: % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2254) all_14_7 = e20 % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (830), (2254) imply: % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2255) $false % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2255) is inconsistent. % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2256) (all_24_22 = e23 & all_24_28 = e21 & ~ (all_24_23 % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_24_26 = e21)) | (all_24_22 = % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23 & all_24_31 = e21 & ~ (all_24_24 = e20) & % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_26 = e21)) | (all_24_23 = e22 & % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_26 = e21 & ~ (all_24_22 = e23) & ~ % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_28 = e21)) | (all_24_23 = e22 & % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_31 = e21 & ~ (all_24_24 = e20) & ~ % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_28 = e21)) | (all_24_24 = e20 & % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_26 = e21 & ~ (all_24_22 = e23) & ~ % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e21)) | (all_24_24 = e20 & % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_28 = e21 & ~ (all_24_23 = e22) & ~ % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e21)) | (all_24_25 = e23 & % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_28 = e20 & ~ (all_24_26 = e20) & ~ % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_27 = e22)) | (all_24_25 = e23 & % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_30 = e20 & ~ (all_24_26 = e20) & ~ % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_29 = e21)) | (all_24_26 = e20 & % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_27 = e22 & ~ (all_24_25 = e23) & ~ % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_28 = e20)) | (all_24_26 = e20 & % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_29 = e21 & ~ (all_24_25 = e23) & ~ % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e20)) | (all_24_27 = e22 & % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_30 = e20 & ~ (all_24_28 = e20) & ~ % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_29 = e21)) | (all_24_28 = e20 & % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_29 = e21 & ~ (all_24_27 = e22) & ~ % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e20)) % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2256) gives: % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2257) (all_24_22 = e23 & all_24_28 = e21 & ~ (all_24_23 % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_24_26 = e21)) | (all_24_22 = % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23 & all_24_31 = e21 & ~ (all_24_24 = e20) & % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_26 = e21)) | (all_24_23 = e22 & % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_26 = e21 & ~ (all_24_22 = e23) & ~ % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_28 = e21)) | (all_24_23 = e22 & % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_31 = e21 & ~ (all_24_24 = e20) & ~ % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_28 = e21)) | (all_24_24 = e20 & % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_26 = e21 & ~ (all_24_22 = e23) & ~ % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e21)) | (all_24_24 = e20 & % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_28 = e21 & ~ (all_24_23 = e22) & ~ % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e21)) % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2257) gives: % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2258) (all_24_22 = e23 & all_24_28 = e21 & ~ (all_24_23 % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_24_26 = e21)) | (all_24_22 = % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23 & all_24_31 = e21 & ~ (all_24_24 = e20) & % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_26 = e21)) | (all_24_23 = e22 & % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_26 = e21 & ~ (all_24_22 = e23) & ~ % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_28 = e21)) % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2258) gives: % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2259) all_24_22 = e23 & all_24_28 = e21 & ~ (all_24_23 % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_24_26 = e21) % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2259) implies: % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2260) all_24_22 = e23 % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (840), (2260) imply: % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2261) e23 = e21 % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (2261) imply: % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2262) $false % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2262) is inconsistent. % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2263) (all_24_22 = e23 & all_24_31 = e21 & ~ (all_24_24 % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_26 = e21)) | (all_24_23 = % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22 & all_24_26 = e21 & ~ (all_24_22 = e23) & % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_28 = e21)) % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2263) gives: % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2264) all_24_22 = e23 & all_24_31 = e21 & ~ (all_24_24 % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_26 = e21) % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2264) implies: % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2265) all_24_22 = e23 % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (840), (2265) imply: % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2266) e23 = e21 % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (2266) imply: % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2267) $false % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2267) is inconsistent. % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2268) all_24_23 = e22 & all_24_26 = e21 & ~ (all_24_22 % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_28 = e21) % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2268) implies: % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2269) all_24_26 = e21 % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (687), (2269) imply: % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2270) e21 = e20 % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (2270) imply: % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2271) $false % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2271) is inconsistent. % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2272) (all_24_23 = e22 & all_24_31 = e21 & ~ (all_24_24 % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_28 = e21)) | (all_24_24 = % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 & all_24_26 = e21 & ~ (all_24_22 = e23) & % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_31 = e21)) | (all_24_24 = e20 & % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_28 = e21 & ~ (all_24_23 = e22) & ~ % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_31 = e21)) % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2272) gives: % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2273) all_24_23 = e22 & all_24_31 = e21 & ~ (all_24_24 % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_28 = e21) % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (488), (725), (2273) are inconsistent by sub-proof % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #8. % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2274) (all_24_24 = e20 & all_24_26 = e21 & ~ (all_24_22 % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_31 = e21)) | (all_24_24 = % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 & all_24_28 = e21 & ~ (all_24_23 = e22) & % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_31 = e21)) % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2274) gives: % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2275) all_24_24 = e20 & all_24_26 = e21 & ~ (all_24_22 % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_31 = e21) % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2275) implies: % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2276) all_24_26 = e21 % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (687), (2276) imply: % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2277) e21 = e20 % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (2277) imply: % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2278) $false % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2278) is inconsistent. % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2279) all_24_24 = e20 & all_24_28 = e21 & ~ (all_24_23 % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_24_31 = e21) % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2279) implies: % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2280) ~ (all_24_31 = e21) % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2008), (2280) imply: % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2281) $false % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2281) is inconsistent. % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2282) (all_24_25 = e23 & all_24_28 = e20 & ~ (all_24_26 % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_27 = e22)) | (all_24_25 = % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23 & all_24_30 = e20 & ~ (all_24_26 = e20) & % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_29 = e21)) | (all_24_26 = e20 & % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_27 = e22 & ~ (all_24_25 = e23) & ~ % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_28 = e20)) | (all_24_26 = e20 & % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_29 = e21 & ~ (all_24_25 = e23) & ~ % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e20)) | (all_24_27 = e22 & % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_30 = e20 & ~ (all_24_28 = e20) & ~ % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_29 = e21)) | (all_24_28 = e20 & % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_29 = e21 & ~ (all_24_27 = e22) & ~ % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e20)) % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2282) gives: % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2283) (all_24_25 = e23 & all_24_28 = e20 & ~ (all_24_26 % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_27 = e22)) | (all_24_25 = % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23 & all_24_30 = e20 & ~ (all_24_26 = e20) & % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_29 = e21)) | (all_24_26 = e20 & % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_27 = e22 & ~ (all_24_25 = e23) & ~ % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_28 = e20)) % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2283) gives: % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2284) all_24_25 = e23 & all_24_28 = e20 & ~ (all_24_26 % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_27 = e22) % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2284) implies: % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2285) all_24_28 = e20 % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2024), (2285) are inconsistent by sub-proof % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2. % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2286) (all_24_25 = e23 & all_24_30 = e20 & ~ (all_24_26 % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_29 = e21)) | (all_24_26 = % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 & all_24_27 = e22 & ~ (all_24_25 = e23) & % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_28 = e20)) % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2286) gives: % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2287) all_24_25 = e23 & all_24_30 = e20 & ~ (all_24_26 % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_29 = e21) % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (475), (2287) are inconsistent by sub-proof % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #7. % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2288) all_24_26 = e20 & all_24_27 = e22 & ~ (all_24_25 % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_28 = e20) % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2288) implies: % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2289) all_24_27 = e22 % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (2289) imply: % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2290) all_14_13 = e22 % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1973), (2290) imply: % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2291) $false % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2291) is inconsistent. % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2292) (all_24_26 = e20 & all_24_29 = e21 & ~ (all_24_25 % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_30 = e20)) | (all_24_27 = % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22 & all_24_30 = e20 & ~ (all_24_28 = e20) & % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_29 = e21)) | (all_24_28 = e20 & % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_29 = e21 & ~ (all_24_27 = e22) & ~ % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_24_30 = e20)) % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2292) gives: % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2293) all_24_26 = e20 & all_24_29 = e21 & ~ (all_24_25 % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_24_30 = e20) % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2293) implies: % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2294) all_24_29 = e21 % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (470), (2294) imply: % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2295) all_14_14 = e21 % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2011), (2295) imply: % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2296) $false % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2296) is inconsistent. % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2297) (all_24_27 = e22 & all_24_30 = e20 & ~ (all_24_28 % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_29 = e21)) | (all_24_28 = % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 & all_24_29 = e21 & ~ (all_24_27 = e22) & % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_24_30 = e20)) % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2297) gives: % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2298) all_24_27 = e22 & all_24_30 = e20 & ~ (all_24_28 % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_24_29 = e21) % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (475), (2298) are inconsistent by sub-proof % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #5. % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2299) all_24_28 = e20 & all_24_29 = e21 & ~ (all_24_27 % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_24_30 = e20) % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2299) implies: % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2300) all_24_28 = e20 % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2024), (2300) are inconsistent by sub-proof % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2. % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2301) all_20_5 = e21 | all_20_10 = e21 % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2301) gives: % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2302) all_20_5 = e21 % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (599), (2302) are inconsistent by sub-proof % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1. % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2303) all_20_10 = e21 % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (606), (2303) imply: % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2304) all_14_13 = e21 % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2304) implies: % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2305) all_14_13 = e21 % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2010), (2305) imply: % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2306) $false % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2306) is inconsistent. % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2307) all_20_12 = e21 % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1954), (2307) imply: % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2308) e23 = e21 % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2308) implies: % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2309) e23 = e21 % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (2309) imply: % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2310) $false % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2310) is inconsistent. % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2311) all_20_6 = e22 | all_20_12 = e22 % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2311) gives: % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2312) all_20_6 = e22 % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (586), (2312) imply: % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2313) all_14_2 = e22 % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2313) implies: % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2314) all_14_2 = e22 % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (2314) imply: % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2315) $false % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2315) is inconsistent. % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2316) all_20_12 = e22 % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1954), (2316) imply: % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2317) e23 = e22 % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (725), (2317) imply: % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2318) $false % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2318) is inconsistent. % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2319) all_22_5 = e11 | all_22_10 = e11 % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (267) gives: % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2320) all_22_2 = e10 % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (891), (1586), (2320) are inconsistent by % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #16. % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2321) all_22_3 = e10 | all_22_5 = e10 | all_22_10 = e10 % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2321) gives: % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2322) all_22_3 = e10 % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (529), (2322) imply: % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2323) all_12_5 = e10 % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2323) implies: % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2324) all_12_5 = e10 % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1608), (2324) imply: % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2325) $false % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2325) is inconsistent. % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2326) all_22_5 = e10 | all_22_10 = e10 % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2326) gives: % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2327) all_22_5 = e10 % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (426), (889), (2327) are inconsistent by sub-proof % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #15. % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2328) all_22_10 = e10 % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (421), (2328) imply: % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2329) all_12_13 = e10 % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2319) gives: % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2330) all_22_5 = e11 % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (426), (2330) imply: % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2331) e13 = e11 % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2331) implies: % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2332) e13 = e11 % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (865), (2332) imply: % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2333) $false % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2333) is inconsistent. % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2334) all_22_10 = e11 % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2328), (2334) imply: % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2335) e11 = e10 % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (893), (2335) imply: % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2336) $false % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2336) is inconsistent. % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2337) ~ (all_16_11 = e13) % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (636), (2337) imply: % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2338) ~ (all_12_14 = e13) % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (409), (578), (889), (1534), (1596), (1607), % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2338) are inconsistent by sub-proof #22. % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2339) all_16_12 = e12 | all_16_12 = e11 | all_16_12 = % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10 % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2339) gives: % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2340) all_16_12 = e11 % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (637), (2340) imply: % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2341) all_12_3 = e11 % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2341) implies: % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2342) all_12_3 = e11 % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1561), (2342) imply: % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2343) $false % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2343) is inconsistent. % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2344) all_16_12 = e12 | all_16_12 = e10 % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2344) gives: % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2345) all_16_12 = e12 % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (637), (2345) imply: % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2346) all_12_3 = e12 % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2346) implies: % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2347) all_12_3 = e12 % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1590), (2347) imply: % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2348) $false % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2348) is inconsistent. % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2349) all_16_12 = e10 % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (637), (2349) imply: % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2350) all_12_3 = e10 % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2350) implies: % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2351) all_12_3 = e10 % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (884), (2351) imply: % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2352) $false % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2352) is inconsistent. % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2353) ~ (all_22_2 = e12) % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (552), (2353) imply: % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2354) ~ (all_12_1 = e12) % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (621), (739), (1544), (2354) are inconsistent by % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #33. % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (2355) all_16_13 = e10 % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (638), (885), (2355) are inconsistent by sub-proof % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | #17. % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.44 | | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | End of split % 45.77/7.44 | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | Case 2: % 45.77/7.44 | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | (2356) all_16_8 = e12 | all_16_8 = e10 % 45.77/7.44 | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (627), (741), (749), (2356) are inconsistent by % 45.77/7.44 | | | | | | | | | | | | | | | | | | | sub-proof #21. % 45.77/7.44 | | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | | End of split % 45.77/7.44 | | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | | End of split % 45.77/7.44 | | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | End of split % 45.77/7.44 | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | Case 2: % 45.77/7.44 | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | (2357) all_16_3 = e10 % 45.77/7.44 | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | COMBINE_EQS: (633), (2357) imply: % 45.77/7.44 | | | | | | | | | | | | | | | | (2358) all_12_12 = e10 % 45.77/7.44 | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | REDUCE: (747), (2358) imply: % 45.77/7.44 | | | | | | | | | | | | | | | | (2359) $false % 45.77/7.44 | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | CLOSE: (2359) is inconsistent. % 45.77/7.44 | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | End of split % 45.77/7.44 | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | Case 2: % 45.77/7.44 | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | (2360) all_22_4 = e13 | all_22_9 = e13 % 45.77/7.44 | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | BETA: splitting (2360) gives: % 45.77/7.44 | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | Case 1: % 45.77/7.44 | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | (2361) all_22_4 = e13 % 45.77/7.44 | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | COMBINE_EQS: (857), (2361) imply: % 45.77/7.44 | | | | | | | | | | | | | | | | (2362) e13 = e11 % 45.77/7.44 | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | REDUCE: (865), (2362) imply: % 45.77/7.44 | | | | | | | | | | | | | | | | (2363) $false % 45.77/7.44 | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | CLOSE: (2363) is inconsistent. % 45.77/7.44 | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | Case 2: % 45.77/7.44 | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | (2364) all_22_9 = e13 % 45.77/7.44 | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | COMBINE_EQS: (570), (2364) imply: % 45.77/7.44 | | | | | | | | | | | | | | | | (2365) all_12_12 = e13 % 45.77/7.44 | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | SIMP: (2365) implies: % 45.77/7.44 | | | | | | | | | | | | | | | | (2366) all_12_12 = e13 % 45.77/7.44 | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | REDUCE: (1449), (2366) imply: % 45.77/7.44 | | | | | | | | | | | | | | | | (2367) $false % 45.77/7.44 | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | | CLOSE: (2367) is inconsistent. % 45.77/7.44 | | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | | End of split % 45.77/7.44 | | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | | End of split % 45.77/7.44 | | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | | End of split % 45.77/7.44 | | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | | End of split % 45.77/7.44 | | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | | End of split % 45.77/7.44 | | | | | | | | | | | % 45.77/7.44 | | | | | | | | | | End of split % 45.77/7.44 | | | | | | | | | | % 45.77/7.44 | | | | | | | | | End of split % 45.77/7.44 | | | | | | | | | % 45.77/7.44 | | | | | | | | End of split % 45.77/7.44 | | | | | | | | % 45.77/7.44 | | | | | | | End of split % 45.77/7.44 | | | | | | | % 45.77/7.44 | | | | | | Case 2: % 45.77/7.44 | | | | | | | % 45.77/7.44 | | | | | | | (2368) all_16_2 = e12 | all_16_2 = e10 % 45.77/7.44 | | | | | | | % 45.77/7.44 | | | | | | | BETA: splitting (2368) gives: % 45.77/7.44 | | | | | | | % 45.77/7.44 | | | | | | | Case 1: % 45.77/7.44 | | | | | | | | % 45.77/7.44 | | | | | | | | (2369) all_16_2 = e12 % 45.77/7.44 | | | | | | | | % 45.77/7.44 | | | | | | | | COMBINE_EQS: (623), (2369) imply: % 45.77/7.44 | | | | | | | | (2370) all_12_8 = e12 % 45.77/7.44 | | | | | | | | % 45.77/7.44 | | | | | | | | SIMP: (2370) implies: % 45.77/7.44 | | | | | | | | (2371) all_12_8 = e12 % 45.77/7.44 | | | | | | | | % 45.77/7.44 | | | | | | | | REDUCE: (752), (2371) imply: % 45.77/7.44 | | | | | | | | (2372) $false % 45.77/7.44 | | | | | | | | % 45.77/7.44 | | | | | | | | CLOSE: (2372) is inconsistent. % 45.77/7.44 | | | | | | | | % 45.77/7.44 | | | | | | | Case 2: % 45.77/7.44 | | | | | | | | % 45.77/7.44 | | | | | | | | (2373) all_16_2 = e10 % 45.77/7.44 | | | | | | | | % 45.77/7.44 | | | | | | | | COMBINE_EQS: (623), (2373) imply: % 45.77/7.44 | | | | | | | | (2374) all_12_8 = e10 % 45.77/7.44 | | | | | | | | % 45.77/7.44 | | | | | | | | SIMP: (2374) implies: % 45.77/7.44 | | | | | | | | (2375) all_12_8 = e10 % 45.77/7.44 | | | | | | | | % 45.77/7.44 | | | | | | | | REDUCE: (745), (2375) imply: % 45.77/7.44 | | | | | | | | (2376) $false % 45.77/7.44 | | | | | | | | % 45.77/7.44 | | | | | | | | CLOSE: (2376) is inconsistent. % 45.77/7.44 | | | | | | | | % 45.77/7.44 | | | | | | | End of split % 45.77/7.44 | | | | | | | % 45.77/7.44 | | | | | | End of split % 45.77/7.44 | | | | | | % 45.77/7.44 | | | | | End of split % 45.77/7.44 | | | | | % 45.77/7.44 | | | | Case 2: % 45.77/7.44 | | | | | % 45.77/7.44 | | | | | (2377) all_20_5 = e21 | all_20_8 = e21 | all_20_14 = e21 % 45.77/7.44 | | | | | % 45.77/7.44 | | | | | BETA: splitting (2377) gives: % 45.77/7.44 | | | | | % 45.77/7.44 | | | | | Case 1: % 45.77/7.44 | | | | | | % 45.77/7.44 | | | | | | (2378) all_20_5 = e21 % 45.77/7.44 | | | | | | % 45.77/7.44 | | | | | | REF_CLOSE: (11), (599), (2378) are inconsistent by sub-proof #1. % 45.77/7.44 | | | | | | % 45.77/7.44 | | | | | Case 2: % 45.77/7.44 | | | | | | % 45.77/7.44 | | | | | | (2379) all_20_8 = e21 | all_20_14 = e21 % 45.77/7.44 | | | | | | % 45.77/7.44 | | | | | | BETA: splitting (2379) gives: % 45.77/7.45 | | | | | | % 45.77/7.45 | | | | | | Case 1: % 45.77/7.45 | | | | | | | % 45.77/7.45 | | | | | | | (2380) all_20_8 = e21 % 45.77/7.45 | | | | | | | % 45.77/7.45 | | | | | | | COMBINE_EQS: (612), (2380) imply: % 45.77/7.45 | | | | | | | (2381) e22 = e21 % 45.77/7.45 | | | | | | | % 45.77/7.45 | | | | | | | SIMP: (2381) implies: % 45.77/7.45 | | | | | | | (2382) e22 = e21 % 45.77/7.45 | | | | | | | % 45.77/7.45 | | | | | | | REDUCE: (9), (2382) imply: % 45.77/7.45 | | | | | | | (2383) $false % 45.77/7.45 | | | | | | | % 46.17/7.45 | | | | | | | CLOSE: (2383) is inconsistent. % 46.17/7.45 | | | | | | | % 46.17/7.45 | | | | | | Case 2: % 46.17/7.45 | | | | | | | % 46.17/7.45 | | | | | | | (2384) all_20_14 = e21 % 46.17/7.45 | | | | | | | % 46.17/7.45 | | | | | | | COMBINE_EQS: (826), (2384) imply: % 46.17/7.45 | | | | | | | (2385) e21 = e20 % 46.17/7.45 | | | | | | | % 46.17/7.45 | | | | | | | REDUCE: (7), (2385) imply: % 46.17/7.45 | | | | | | | (2386) $false % 46.17/7.45 | | | | | | | % 46.17/7.45 | | | | | | | CLOSE: (2386) is inconsistent. % 46.17/7.45 | | | | | | | % 46.17/7.45 | | | | | | End of split % 46.17/7.45 | | | | | | % 46.17/7.45 | | | | | End of split % 46.17/7.45 | | | | | % 46.17/7.45 | | | | End of split % 46.17/7.45 | | | | % 46.17/7.45 | | | End of split % 46.17/7.45 | | | % 46.17/7.45 | | End of split % 46.17/7.45 | | % 46.17/7.45 | End of split % 46.17/7.45 | % 46.17/7.45 End of proof % 46.17/7.45 % 46.17/7.45 Sub-proof #1 shows that the following formulas are inconsistent: % 46.17/7.45 ---------------------------------------------------------------- % 46.17/7.45 (1) all_20_5 = e23 % 46.17/7.45 (2) all_20_5 = e21 % 46.17/7.45 (3) ~ (e23 = e21) % 46.17/7.45 % 46.17/7.45 Begin of proof % 46.17/7.45 | % 46.17/7.45 | COMBINE_EQS: (1), (2) imply: % 46.17/7.45 | (4) e23 = e21 % 46.17/7.45 | % 46.17/7.45 | SIMP: (4) implies: % 46.17/7.45 | (5) e23 = e21 % 46.17/7.45 | % 46.17/7.45 | REDUCE: (3), (5) imply: % 46.17/7.45 | (6) $false % 46.17/7.45 | % 46.17/7.45 | CLOSE: (6) is inconsistent. % 46.17/7.45 | % 46.17/7.45 End of proof % 46.17/7.45 % 46.17/7.45 Sub-proof #2 shows that the following formulas are inconsistent: % 46.17/7.45 ---------------------------------------------------------------- % 46.17/7.45 (1) all_24_28 = e21 % 46.17/7.45 (2) all_24_28 = e20 % 46.17/7.45 (3) ~ (e21 = e20) % 46.17/7.45 % 46.17/7.45 Begin of proof % 46.17/7.45 | % 46.17/7.45 | COMBINE_EQS: (1), (2) imply: % 46.17/7.45 | (4) e21 = e20 % 46.17/7.45 | % 46.17/7.45 | SIMP: (4) implies: % 46.17/7.45 | (5) e21 = e20 % 46.17/7.45 | % 46.17/7.45 | REDUCE: (3), (5) imply: % 46.17/7.45 | (6) $false % 46.17/7.45 | % 46.17/7.45 | CLOSE: (6) is inconsistent. % 46.17/7.45 | % 46.17/7.45 End of proof % 46.17/7.45 % 46.17/7.45 Sub-proof #3 shows that the following formulas are inconsistent: % 46.17/7.45 ---------------------------------------------------------------- % 46.17/7.45 (1) all_24_31 = e22 % 46.17/7.45 (2) all_24_31 = e21 % 46.17/7.45 (3) ~ (e22 = e21) % 46.17/7.45 % 46.17/7.45 Begin of proof % 46.17/7.45 | % 46.17/7.45 | COMBINE_EQS: (1), (2) imply: % 46.17/7.45 | (4) e22 = e21 % 46.17/7.45 | % 46.17/7.45 | SIMP: (4) implies: % 46.17/7.45 | (5) e22 = e21 % 46.17/7.45 | % 46.17/7.45 | REDUCE: (3), (5) imply: % 46.17/7.45 | (6) $false % 46.17/7.45 | % 46.17/7.45 | CLOSE: (6) is inconsistent. % 46.17/7.45 | % 46.17/7.45 End of proof % 46.17/7.45 % 46.17/7.45 Sub-proof #4 shows that the following formulas are inconsistent: % 46.17/7.45 ---------------------------------------------------------------- % 46.17/7.45 (1) all_24_31 = e23 % 46.17/7.45 (2) all_24_31 = e21 % 46.17/7.45 (3) ~ (e23 = e21) % 46.17/7.45 % 46.17/7.45 Begin of proof % 46.17/7.45 | % 46.17/7.45 | COMBINE_EQS: (1), (2) imply: % 46.17/7.45 | (4) e23 = e21 % 46.17/7.45 | % 46.17/7.45 | SIMP: (4) implies: % 46.17/7.45 | (5) e23 = e21 % 46.17/7.45 | % 46.17/7.45 | REDUCE: (3), (5) imply: % 46.17/7.45 | (6) $false % 46.17/7.45 | % 46.17/7.45 | CLOSE: (6) is inconsistent. % 46.17/7.45 | % 46.17/7.45 End of proof % 46.17/7.45 % 46.17/7.45 Sub-proof #5 shows that the following formulas are inconsistent: % 46.17/7.45 ---------------------------------------------------------------- % 46.17/7.45 (1) all_24_27 = e22 & all_24_30 = e20 & ~ (all_24_28 = e20) & ~ (all_24_29 % 46.17/7.45 = e21) % 46.17/7.45 (2) all_24_30 = e22 % 46.17/7.45 (3) ~ (e22 = e20) % 46.17/7.45 % 46.17/7.45 Begin of proof % 46.17/7.45 | % 46.17/7.45 | ALPHA: (1) implies: % 46.17/7.45 | (4) all_24_30 = e20 % 46.17/7.45 | % 46.17/7.45 | COMBINE_EQS: (2), (4) imply: % 46.17/7.45 | (5) e22 = e20 % 46.17/7.45 | % 46.17/7.45 | REDUCE: (3), (5) imply: % 46.17/7.45 | (6) $false % 46.17/7.45 | % 46.17/7.45 | CLOSE: (6) is inconsistent. % 46.17/7.45 | % 46.17/7.45 End of proof % 46.17/7.45 % 46.17/7.45 Sub-proof #6 shows that the following formulas are inconsistent: % 46.17/7.45 ---------------------------------------------------------------- % 46.17/7.45 (1) all_24_29 = all_14_14 % 46.17/7.45 (2) all_24_29 = e21 % 46.17/7.45 (3) ~ (all_14_14 = e21) % 46.17/7.45 % 46.17/7.45 Begin of proof % 46.17/7.45 | % 46.17/7.45 | COMBINE_EQS: (1), (2) imply: % 46.17/7.45 | (4) all_14_14 = e21 % 46.17/7.45 | % 46.17/7.45 | SIMP: (4) implies: % 46.17/7.45 | (5) all_14_14 = e21 % 46.17/7.45 | % 46.17/7.45 | REDUCE: (3), (5) imply: % 46.17/7.45 | (6) $false % 46.17/7.45 | % 46.17/7.45 | CLOSE: (6) is inconsistent. % 46.17/7.45 | % 46.17/7.45 End of proof % 46.17/7.45 % 46.17/7.45 Sub-proof #7 shows that the following formulas are inconsistent: % 46.17/7.45 ---------------------------------------------------------------- % 46.17/7.45 (1) all_24_25 = e23 & all_24_30 = e20 & ~ (all_24_26 = e20) & ~ (all_24_29 % 46.17/7.45 = e21) % 46.17/7.45 (2) all_24_30 = e22 % 46.17/7.45 (3) ~ (e22 = e20) % 46.17/7.45 % 46.17/7.45 Begin of proof % 46.17/7.45 | % 46.17/7.45 | ALPHA: (1) implies: % 46.17/7.45 | (4) all_24_30 = e20 % 46.17/7.45 | % 46.17/7.45 | COMBINE_EQS: (2), (4) imply: % 46.17/7.45 | (5) e22 = e20 % 46.17/7.45 | % 46.17/7.45 | REDUCE: (3), (5) imply: % 46.17/7.45 | (6) $false % 46.17/7.45 | % 46.17/7.45 | CLOSE: (6) is inconsistent. % 46.17/7.45 | % 46.17/7.45 End of proof % 46.17/7.45 % 46.17/7.45 Sub-proof #8 shows that the following formulas are inconsistent: % 46.17/7.45 ---------------------------------------------------------------- % 46.17/7.45 (1) all_24_23 = e22 & all_24_31 = e21 & ~ (all_24_24 = e20) & ~ (all_24_28 % 46.17/7.45 = e21) % 46.17/7.45 (2) all_24_23 = e23 % 46.17/7.45 (3) ~ (e23 = e22) % 46.17/7.45 % 46.17/7.45 Begin of proof % 46.17/7.45 | % 46.17/7.45 | ALPHA: (1) implies: % 46.17/7.45 | (4) all_24_23 = e22 % 46.17/7.45 | % 46.17/7.45 | COMBINE_EQS: (2), (4) imply: % 46.17/7.45 | (5) e23 = e22 % 46.17/7.45 | % 46.17/7.45 | REDUCE: (3), (5) imply: % 46.17/7.45 | (6) $false % 46.17/7.45 | % 46.17/7.45 | CLOSE: (6) is inconsistent. % 46.17/7.45 | % 46.17/7.45 End of proof % 46.17/7.45 % 46.17/7.45 Sub-proof #9 shows that the following formulas are inconsistent: % 46.17/7.45 ---------------------------------------------------------------- % 46.17/7.45 (1) all_24_26 = e21 % 46.17/7.45 (2) all_24_26 = e20 % 46.17/7.45 (3) ~ (e21 = e20) % 46.17/7.45 % 46.17/7.45 Begin of proof % 46.17/7.45 | % 46.17/7.45 | COMBINE_EQS: (1), (2) imply: % 46.17/7.45 | (4) e21 = e20 % 46.17/7.45 | % 46.17/7.45 | SIMP: (4) implies: % 46.17/7.45 | (5) e21 = e20 % 46.17/7.45 | % 46.17/7.45 | REDUCE: (3), (5) imply: % 46.17/7.45 | (6) $false % 46.17/7.45 | % 46.17/7.45 | CLOSE: (6) is inconsistent. % 46.17/7.45 | % 46.17/7.45 End of proof % 46.17/7.45 % 46.17/7.45 Sub-proof #10 shows that the following formulas are inconsistent: % 46.17/7.45 ---------------------------------------------------------------- % 46.17/7.45 (1) all_24_22 = e23 % 46.17/7.45 (2) all_24_22 = e21 % 46.17/7.45 (3) ~ (e23 = e21) % 46.17/7.45 % 46.17/7.45 Begin of proof % 46.17/7.45 | % 46.17/7.45 | COMBINE_EQS: (1), (2) imply: % 46.17/7.45 | (4) e23 = e21 % 46.17/7.45 | % 46.17/7.45 | SIMP: (4) implies: % 46.17/7.45 | (5) e23 = e21 % 46.17/7.45 | % 46.17/7.45 | REDUCE: (3), (5) imply: % 46.17/7.45 | (6) $false % 46.17/7.45 | % 46.17/7.45 | CLOSE: (6) is inconsistent. % 46.17/7.45 | % 46.17/7.45 End of proof % 46.17/7.45 % 46.17/7.45 Sub-proof #11 shows that the following formulas are inconsistent: % 46.17/7.45 ---------------------------------------------------------------- % 46.17/7.45 (1) all_24_26 = e22 % 46.17/7.45 (2) all_24_26 = e20 % 46.17/7.45 (3) ~ (e22 = e20) % 46.17/7.45 % 46.17/7.45 Begin of proof % 46.17/7.45 | % 46.17/7.45 | COMBINE_EQS: (1), (2) imply: % 46.17/7.45 | (4) e22 = e20 % 46.17/7.45 | % 46.17/7.45 | SIMP: (4) implies: % 46.17/7.45 | (5) e22 = e20 % 46.17/7.45 | % 46.17/7.45 | REDUCE: (3), (5) imply: % 46.17/7.45 | (6) $false % 46.17/7.45 | % 46.17/7.45 | CLOSE: (6) is inconsistent. % 46.17/7.45 | % 46.17/7.45 End of proof % 46.17/7.45 % 46.17/7.45 Sub-proof #12 shows that the following formulas are inconsistent: % 46.17/7.45 ---------------------------------------------------------------- % 46.17/7.45 (1) all_24_30 = e23 % 46.17/7.45 (2) all_24_30 = e22 % 46.17/7.45 (3) ~ (e23 = e22) % 46.17/7.45 % 46.17/7.45 Begin of proof % 46.17/7.45 | % 46.17/7.45 | COMBINE_EQS: (1), (2) imply: % 46.17/7.45 | (4) e23 = e22 % 46.17/7.45 | % 46.17/7.45 | SIMP: (4) implies: % 46.17/7.45 | (5) e23 = e22 % 46.17/7.45 | % 46.17/7.45 | REDUCE: (3), (5) imply: % 46.17/7.45 | (6) $false % 46.17/7.45 | % 46.17/7.45 | CLOSE: (6) is inconsistent. % 46.17/7.45 | % 46.17/7.45 End of proof % 46.17/7.45 % 46.17/7.45 Sub-proof #13 shows that the following formulas are inconsistent: % 46.17/7.45 ---------------------------------------------------------------- % 46.17/7.45 (1) all_24_4 = e23 & all_24_5 = e22 & all_24_6 = e21 & all_24_7 = e20 & ( ~ % 46.17/7.45 (all_24_19 = e23) | all_24_26 = e22) & ( ~ (all_24_20 = e21) | % 46.17/7.45 all_24_30 = e22) & ( ~ (all_24_21 = e20) | all_24_31 = e22) % 46.17/7.45 (2) all_24_6 = e22 % 46.17/7.45 (3) ~ (e22 = e21) % 46.17/7.45 % 46.17/7.45 Begin of proof % 46.17/7.45 | % 46.17/7.45 | ALPHA: (1) implies: % 46.17/7.45 | (4) all_24_6 = e21 % 46.17/7.45 | % 46.17/7.45 | COMBINE_EQS: (2), (4) imply: % 46.17/7.45 | (5) e22 = e21 % 46.17/7.45 | % 46.17/7.45 | SIMP: (5) implies: % 46.17/7.45 | (6) e22 = e21 % 46.17/7.45 | % 46.17/7.45 | REDUCE: (3), (6) imply: % 46.17/7.45 | (7) $false % 46.17/7.45 | % 46.17/7.45 | CLOSE: (7) is inconsistent. % 46.17/7.45 | % 46.17/7.45 End of proof % 46.17/7.45 % 46.17/7.45 Sub-proof #14 shows that the following formulas are inconsistent: % 46.17/7.45 ---------------------------------------------------------------- % 46.17/7.45 (1) ~ (all_24_16 = e22) | all_24_28 = e23 % 46.17/7.45 (2) all_24_16 = e22 % 46.17/7.45 (3) all_24_28 = all_6_1 % 46.17/7.45 (4) ~ (all_6_1 = e23) % 46.17/7.45 % 46.17/7.45 Begin of proof % 46.17/7.45 | % 46.17/7.45 | BETA: splitting (1) gives: % 46.17/7.45 | % 46.17/7.45 | Case 1: % 46.17/7.45 | | % 46.17/7.45 | | (5) ~ (all_24_16 = e22) % 46.17/7.45 | | % 46.17/7.45 | | REDUCE: (2), (5) imply: % 46.17/7.45 | | (6) $false % 46.17/7.45 | | % 46.17/7.45 | | CLOSE: (6) is inconsistent. % 46.17/7.45 | | % 46.17/7.45 | Case 2: % 46.17/7.45 | | % 46.17/7.45 | | (7) all_24_28 = e23 % 46.17/7.45 | | % 46.17/7.45 | | COMBINE_EQS: (3), (7) imply: % 46.17/7.45 | | (8) all_6_1 = e23 % 46.17/7.45 | | % 46.17/7.45 | | SIMP: (8) implies: % 46.17/7.45 | | (9) all_6_1 = e23 % 46.17/7.45 | | % 46.17/7.45 | | REDUCE: (4), (9) imply: % 46.17/7.45 | | (10) $false % 46.17/7.45 | | % 46.17/7.45 | | CLOSE: (10) is inconsistent. % 46.17/7.45 | | % 46.17/7.45 | End of split % 46.17/7.45 | % 46.17/7.45 End of proof % 46.17/7.45 % 46.17/7.45 Sub-proof #15 shows that the following formulas are inconsistent: % 46.17/7.45 ---------------------------------------------------------------- % 46.17/7.45 (1) all_22_5 = e13 % 46.17/7.45 (2) all_22_5 = e10 % 46.17/7.45 (3) ~ (e13 = e10) % 46.17/7.45 % 46.17/7.45 Begin of proof % 46.17/7.46 | % 46.17/7.46 | COMBINE_EQS: (1), (2) imply: % 46.17/7.46 | (4) e13 = e10 % 46.17/7.46 | % 46.17/7.46 | SIMP: (4) implies: % 46.17/7.46 | (5) e13 = e10 % 46.17/7.46 | % 46.17/7.46 | REDUCE: (3), (5) imply: % 46.17/7.46 | (6) $false % 46.17/7.46 | % 46.17/7.46 | CLOSE: (6) is inconsistent. % 46.17/7.46 | % 46.17/7.46 End of proof % 46.17/7.46 % 46.17/7.46 Sub-proof #16 shows that the following formulas are inconsistent: % 46.17/7.46 ---------------------------------------------------------------- % 46.17/7.46 (1) all_22_2 = e12 % 46.17/7.46 (2) all_22_2 = e10 % 46.17/7.46 (3) ~ (e12 = e10) % 46.17/7.46 % 46.17/7.46 Begin of proof % 46.17/7.46 | % 46.17/7.46 | COMBINE_EQS: (1), (2) imply: % 46.17/7.46 | (4) e12 = e10 % 46.17/7.46 | % 46.17/7.46 | SIMP: (4) implies: % 46.17/7.46 | (5) e12 = e10 % 46.17/7.46 | % 46.17/7.46 | REDUCE: (3), (5) imply: % 46.17/7.46 | (6) $false % 46.17/7.46 | % 46.17/7.46 | CLOSE: (6) is inconsistent. % 46.17/7.46 | % 46.17/7.46 End of proof % 46.17/7.46 % 46.17/7.46 Sub-proof #17 shows that the following formulas are inconsistent: % 46.17/7.46 ---------------------------------------------------------------- % 46.17/7.46 (1) all_16_13 = all_12_7 % 46.17/7.46 (2) all_16_13 = e10 % 46.17/7.46 (3) ~ (all_12_7 = e10) % 46.17/7.46 % 46.17/7.46 Begin of proof % 46.17/7.46 | % 46.17/7.46 | COMBINE_EQS: (1), (2) imply: % 46.17/7.46 | (4) all_12_7 = e10 % 46.17/7.46 | % 46.17/7.46 | SIMP: (4) implies: % 46.17/7.46 | (5) all_12_7 = e10 % 46.17/7.46 | % 46.17/7.46 | REDUCE: (3), (5) imply: % 46.17/7.46 | (6) $false % 46.17/7.46 | % 46.17/7.46 | CLOSE: (6) is inconsistent. % 46.17/7.46 | % 46.17/7.46 End of proof % 46.17/7.46 % 46.17/7.46 Sub-proof #18 shows that the following formulas are inconsistent: % 46.17/7.46 ---------------------------------------------------------------- % 46.17/7.46 (1) all_26_19 = e13 % 46.17/7.46 (2) all_26_19 = e12 % 46.17/7.46 (3) ~ (e13 = e12) % 46.17/7.46 % 46.17/7.46 Begin of proof % 46.17/7.46 | % 46.17/7.46 | COMBINE_EQS: (1), (2) imply: % 46.17/7.46 | (4) e13 = e12 % 46.17/7.46 | % 46.17/7.46 | SIMP: (4) implies: % 46.17/7.46 | (5) e13 = e12 % 46.17/7.46 | % 46.17/7.46 | REDUCE: (3), (5) imply: % 46.17/7.46 | (6) $false % 46.17/7.46 | % 46.17/7.46 | CLOSE: (6) is inconsistent. % 46.17/7.46 | % 46.17/7.46 End of proof % 46.17/7.46 % 46.17/7.46 Sub-proof #19 shows that the following formulas are inconsistent: % 46.17/7.46 ---------------------------------------------------------------- % 46.17/7.46 (1) e13 = e12 % 46.17/7.46 (2) e13 = e10 % 46.17/7.46 (3) ~ (e12 = e10) % 46.17/7.46 % 46.17/7.46 Begin of proof % 46.17/7.46 | % 46.17/7.46 | COMBINE_EQS: (1), (2) imply: % 46.17/7.46 | (4) e12 = e10 % 46.17/7.46 | % 46.17/7.46 | SIMP: (4) implies: % 46.17/7.46 | (5) e12 = e10 % 46.17/7.46 | % 46.17/7.46 | REDUCE: (3), (5) imply: % 46.17/7.46 | (6) $false % 46.17/7.46 | % 46.17/7.46 | CLOSE: (6) is inconsistent. % 46.17/7.46 | % 46.17/7.46 End of proof % 46.17/7.46 % 46.17/7.46 Sub-proof #20 shows that the following formulas are inconsistent: % 46.17/7.46 ---------------------------------------------------------------- % 46.17/7.46 (1) all_26_31 = all_12_15 % 46.17/7.46 (2) all_26_31 = e13 % 46.17/7.46 (3) ~ (all_12_15 = e13) % 46.17/7.46 % 46.17/7.46 Begin of proof % 46.17/7.46 | % 46.17/7.46 | COMBINE_EQS: (1), (2) imply: % 46.17/7.46 | (4) all_12_15 = e13 % 46.17/7.46 | % 46.17/7.46 | SIMP: (4) implies: % 46.17/7.46 | (5) all_12_15 = e13 % 46.17/7.46 | % 46.17/7.46 | REDUCE: (3), (5) imply: % 46.17/7.46 | (6) $false % 46.17/7.46 | % 46.17/7.46 | CLOSE: (6) is inconsistent. % 46.17/7.46 | % 46.17/7.46 End of proof % 46.17/7.46 % 46.17/7.46 Sub-proof #21 shows that the following formulas are inconsistent: % 46.17/7.46 ---------------------------------------------------------------- % 46.17/7.46 (1) all_16_8 = e12 | all_16_8 = e10 % 46.17/7.46 (2) all_16_8 = all_12_2 % 46.17/7.46 (3) ~ (all_12_2 = e12) % 46.17/7.46 (4) ~ (all_12_2 = e10) % 46.17/7.46 % 46.17/7.46 Begin of proof % 46.17/7.46 | % 46.17/7.46 | BETA: splitting (1) gives: % 46.17/7.46 | % 46.17/7.46 | Case 1: % 46.17/7.46 | | % 46.17/7.46 | | (5) all_16_8 = e12 % 46.17/7.46 | | % 46.17/7.46 | | COMBINE_EQS: (2), (5) imply: % 46.17/7.46 | | (6) all_12_2 = e12 % 46.17/7.46 | | % 46.17/7.46 | | SIMP: (6) implies: % 46.17/7.46 | | (7) all_12_2 = e12 % 46.17/7.46 | | % 46.17/7.46 | | REDUCE: (3), (7) imply: % 46.17/7.46 | | (8) $false % 46.17/7.46 | | % 46.17/7.46 | | CLOSE: (8) is inconsistent. % 46.17/7.46 | | % 46.17/7.46 | Case 2: % 46.17/7.46 | | % 46.17/7.46 | | (9) all_16_8 = e10 % 46.17/7.46 | | % 46.17/7.46 | | COMBINE_EQS: (2), (9) imply: % 46.17/7.46 | | (10) all_12_2 = e10 % 46.17/7.46 | | % 46.17/7.46 | | SIMP: (10) implies: % 46.17/7.46 | | (11) all_12_2 = e10 % 46.17/7.46 | | % 46.17/7.46 | | REDUCE: (4), (11) imply: % 46.17/7.46 | | (12) $false % 46.17/7.46 | | % 46.17/7.46 | | CLOSE: (12) is inconsistent. % 46.17/7.46 | | % 46.17/7.46 | End of split % 46.17/7.46 | % 46.17/7.46 End of proof % 46.17/7.46 % 46.17/7.46 Sub-proof #22 shows that the following formulas are inconsistent: % 46.17/7.46 ---------------------------------------------------------------- % 46.17/7.46 (1) ~ (e13 = e10) % 46.17/7.46 (2) all_22_7 = e10 % 46.17/7.46 (3) ~ (all_12_14 = e13) % 46.17/7.46 (4) ~ (e13 = e12) % 46.17/7.46 (5) all_22_7 = e13 | all_22_8 = e13 | all_22_11 = e13 % 46.17/7.46 (6) all_22_8 = e12 % 46.17/7.46 (7) all_22_11 = all_12_14 % 46.17/7.46 % 46.17/7.46 Begin of proof % 46.17/7.46 | % 46.17/7.46 | BETA: splitting (5) gives: % 46.17/7.46 | % 46.17/7.46 | Case 1: % 46.17/7.46 | | % 46.17/7.46 | | (8) all_22_7 = e13 % 46.17/7.46 | | % 46.17/7.46 | | COMBINE_EQS: (2), (8) imply: % 46.17/7.46 | | (9) e13 = e10 % 46.17/7.46 | | % 46.17/7.46 | | REDUCE: (1), (9) imply: % 46.17/7.46 | | (10) $false % 46.17/7.46 | | % 46.17/7.46 | | CLOSE: (10) is inconsistent. % 46.17/7.46 | | % 46.17/7.46 | Case 2: % 46.17/7.46 | | % 46.17/7.46 | | (11) all_22_8 = e13 | all_22_11 = e13 % 46.17/7.46 | | % 46.17/7.46 | | BETA: splitting (11) gives: % 46.17/7.46 | | % 46.17/7.46 | | Case 1: % 46.17/7.46 | | | % 46.17/7.46 | | | (12) all_22_8 = e13 % 46.17/7.46 | | | % 46.17/7.46 | | | COMBINE_EQS: (6), (12) imply: % 46.17/7.46 | | | (13) e13 = e12 % 46.17/7.46 | | | % 46.17/7.46 | | | REDUCE: (4), (13) imply: % 46.17/7.46 | | | (14) $false % 46.17/7.46 | | | % 46.17/7.46 | | | CLOSE: (14) is inconsistent. % 46.17/7.46 | | | % 46.17/7.46 | | Case 2: % 46.17/7.46 | | | % 46.17/7.46 | | | (15) all_22_11 = e13 % 46.17/7.46 | | | % 46.17/7.46 | | | COMBINE_EQS: (7), (15) imply: % 46.17/7.46 | | | (16) all_12_14 = e13 % 46.17/7.46 | | | % 46.17/7.46 | | | REDUCE: (3), (16) imply: % 46.17/7.46 | | | (17) $false % 46.17/7.46 | | | % 46.17/7.46 | | | CLOSE: (17) is inconsistent. % 46.17/7.46 | | | % 46.17/7.46 | | End of split % 46.17/7.46 | | % 46.17/7.46 | End of split % 46.17/7.46 | % 46.17/7.46 End of proof % 46.17/7.46 % 46.17/7.46 Sub-proof #23 shows that the following formulas are inconsistent: % 46.17/7.46 ---------------------------------------------------------------- % 46.17/7.46 (1) all_16_9 = all_12_6 % 46.17/7.46 (2) all_16_9 = e11 % 46.17/7.46 (3) ~ (all_12_6 = e11) % 46.17/7.46 % 46.17/7.46 Begin of proof % 46.17/7.46 | % 46.17/7.46 | COMBINE_EQS: (1), (2) imply: % 46.17/7.46 | (4) all_12_6 = e11 % 46.17/7.46 | % 46.17/7.46 | SIMP: (4) implies: % 46.17/7.46 | (5) all_12_6 = e11 % 46.17/7.46 | % 46.17/7.46 | REDUCE: (3), (5) imply: % 46.17/7.46 | (6) $false % 46.17/7.46 | % 46.17/7.46 | CLOSE: (6) is inconsistent. % 46.17/7.46 | % 46.17/7.46 End of proof % 46.17/7.46 % 46.17/7.46 Sub-proof #24 shows that the following formulas are inconsistent: % 46.17/7.46 ---------------------------------------------------------------- % 46.17/7.46 (1) all_26_29 = all_12_14 % 46.17/7.46 (2) all_26_29 = e11 % 46.17/7.46 (3) ~ (all_12_14 = e11) % 46.17/7.46 % 46.17/7.46 Begin of proof % 46.17/7.46 | % 46.17/7.46 | COMBINE_EQS: (1), (2) imply: % 46.17/7.46 | (4) all_12_14 = e11 % 46.17/7.46 | % 46.17/7.46 | SIMP: (4) implies: % 46.17/7.46 | (5) all_12_14 = e11 % 46.17/7.46 | % 46.17/7.46 | REDUCE: (3), (5) imply: % 46.17/7.46 | (6) $false % 46.17/7.46 | % 46.17/7.46 | CLOSE: (6) is inconsistent. % 46.17/7.46 | % 46.17/7.46 End of proof % 46.17/7.46 % 46.17/7.46 Sub-proof #25 shows that the following formulas are inconsistent: % 46.17/7.46 ---------------------------------------------------------------- % 46.17/7.46 (1) all_26_30 = e12 % 46.17/7.46 (2) all_26_30 = e10 % 46.17/7.46 (3) ~ (e12 = e10) % 46.17/7.46 % 46.17/7.46 Begin of proof % 46.17/7.46 | % 46.17/7.46 | COMBINE_EQS: (1), (2) imply: % 46.17/7.46 | (4) e12 = e10 % 46.17/7.46 | % 46.17/7.46 | SIMP: (4) implies: % 46.17/7.46 | (5) e12 = e10 % 46.17/7.46 | % 46.17/7.46 | REDUCE: (3), (5) imply: % 46.17/7.46 | (6) $false % 46.17/7.46 | % 46.17/7.46 | CLOSE: (6) is inconsistent. % 46.17/7.46 | % 46.17/7.46 End of proof % 46.17/7.46 % 46.17/7.46 Sub-proof #26 shows that the following formulas are inconsistent: % 46.17/7.46 ---------------------------------------------------------------- % 46.17/7.46 (1) all_26_24 = e10 & all_26_26 = e11 & ~ (all_26_22 = e13) & ~ (all_26_31 % 46.17/7.46 = e11) % 46.17/7.46 (2) all_26_26 = e10 % 46.17/7.46 (3) ~ (e11 = e10) % 46.17/7.46 % 46.17/7.46 Begin of proof % 46.17/7.46 | % 46.17/7.46 | ALPHA: (1) implies: % 46.17/7.46 | (4) all_26_26 = e11 % 46.17/7.46 | % 46.17/7.46 | COMBINE_EQS: (2), (4) imply: % 46.17/7.46 | (5) e11 = e10 % 46.17/7.46 | % 46.17/7.46 | REDUCE: (3), (5) imply: % 46.17/7.46 | (6) $false % 46.17/7.46 | % 46.17/7.46 | CLOSE: (6) is inconsistent. % 46.17/7.46 | % 46.17/7.46 End of proof % 46.17/7.46 % 46.17/7.46 Sub-proof #27 shows that the following formulas are inconsistent: % 46.17/7.46 ---------------------------------------------------------------- % 46.17/7.46 (1) ~ (e11 = e10) % 46.17/7.46 (2) (all_26_22 = e13 & all_26_31 = e11 & ~ (all_26_24 = e10) & ~ (all_26_26 % 46.17/7.46 = e11)) | (all_26_23 = e12 & all_26_26 = e11 & ~ (all_26_22 = e13) & % 46.17/7.46 ~ (all_26_28 = e11)) % 46.17/7.46 (3) ~ (e13 = e11) % 46.17/7.46 (4) all_26_26 = e10 % 46.17/7.46 (5) all_26_22 = e11 % 46.17/7.46 % 46.17/7.46 Begin of proof % 46.17/7.46 | % 46.17/7.46 | BETA: splitting (2) gives: % 46.17/7.46 | % 46.17/7.46 | Case 1: % 46.17/7.46 | | % 46.17/7.46 | | (6) all_26_22 = e13 & all_26_31 = e11 & ~ (all_26_24 = e10) & ~ % 46.17/7.46 | | (all_26_26 = e11) % 46.17/7.46 | | % 46.17/7.46 | | ALPHA: (6) implies: % 46.17/7.46 | | (7) all_26_22 = e13 % 46.17/7.46 | | % 46.17/7.46 | | REF_CLOSE: (3), (5), (7) are inconsistent by sub-proof #38. % 46.17/7.46 | | % 46.17/7.46 | Case 2: % 46.17/7.46 | | % 46.17/7.46 | | (8) all_26_23 = e12 & all_26_26 = e11 & ~ (all_26_22 = e13) & ~ % 46.17/7.46 | | (all_26_28 = e11) % 46.17/7.46 | | % 46.17/7.46 | | ALPHA: (8) implies: % 46.17/7.46 | | (9) all_26_26 = e11 % 46.17/7.46 | | % 46.17/7.46 | | COMBINE_EQS: (4), (9) imply: % 46.17/7.46 | | (10) e11 = e10 % 46.17/7.46 | | % 46.17/7.46 | | REDUCE: (1), (10) imply: % 46.17/7.46 | | (11) $false % 46.17/7.46 | | % 46.17/7.46 | | CLOSE: (11) is inconsistent. % 46.17/7.46 | | % 46.17/7.46 | End of split % 46.17/7.46 | % 46.17/7.46 End of proof % 46.17/7.46 % 46.17/7.46 Sub-proof #28 shows that the following formulas are inconsistent: % 46.17/7.46 ---------------------------------------------------------------- % 46.17/7.46 (1) all_26_20 = e11 & all_26_26 = e12 & ~ (all_26_19 = e13) & ~ (all_26_30 % 46.17/7.46 = e12) % 46.17/7.46 (2) all_26_26 = e10 % 46.17/7.46 (3) ~ (e12 = e10) % 46.17/7.46 % 46.17/7.46 Begin of proof % 46.17/7.46 | % 46.17/7.46 | ALPHA: (1) implies: % 46.17/7.46 | (4) all_26_26 = e12 % 46.17/7.46 | % 46.17/7.46 | COMBINE_EQS: (2), (4) imply: % 46.17/7.46 | (5) e12 = e10 % 46.17/7.46 | % 46.17/7.46 | REDUCE: (3), (5) imply: % 46.17/7.46 | (6) $false % 46.17/7.46 | % 46.17/7.46 | CLOSE: (6) is inconsistent. % 46.17/7.46 | % 46.17/7.46 End of proof % 46.17/7.46 % 46.17/7.46 Sub-proof #29 shows that the following formulas are inconsistent: % 46.17/7.46 ---------------------------------------------------------------- % 46.17/7.46 (1) all_26_18 = e11 % 46.17/7.46 (2) all_26_18 = e10 % 46.17/7.46 (3) ~ (e11 = e10) % 46.17/7.46 % 46.17/7.46 Begin of proof % 46.17/7.46 | % 46.17/7.46 | COMBINE_EQS: (1), (2) imply: % 46.17/7.46 | (4) e11 = e10 % 46.17/7.46 | % 46.17/7.46 | SIMP: (4) implies: % 46.17/7.46 | (5) e11 = e10 % 46.17/7.46 | % 46.17/7.46 | REDUCE: (3), (5) imply: % 46.17/7.46 | (6) $false % 46.17/7.46 | % 46.17/7.46 | CLOSE: (6) is inconsistent. % 46.17/7.46 | % 46.17/7.46 End of proof % 46.17/7.46 % 46.17/7.46 Sub-proof #30 shows that the following formulas are inconsistent: % 46.17/7.46 ---------------------------------------------------------------- % 46.17/7.46 (1) ~ (all_26_24 = e10) | all_26_31 = e11 % 46.17/7.46 (2) all_26_24 = e10 % 46.17/7.46 (3) all_26_31 = e13 % 46.17/7.46 (4) ~ (e13 = e11) % 46.17/7.46 % 46.17/7.46 Begin of proof % 46.17/7.46 | % 46.17/7.46 | BETA: splitting (1) gives: % 46.17/7.46 | % 46.17/7.46 | Case 1: % 46.17/7.46 | | % 46.17/7.46 | | (5) ~ (all_26_24 = e10) % 46.17/7.46 | | % 46.17/7.46 | | REDUCE: (2), (5) imply: % 46.17/7.46 | | (6) $false % 46.17/7.46 | | % 46.17/7.46 | | CLOSE: (6) is inconsistent. % 46.17/7.46 | | % 46.17/7.46 | Case 2: % 46.17/7.46 | | % 46.17/7.46 | | (7) all_26_31 = e11 % 46.17/7.46 | | % 46.17/7.46 | | COMBINE_EQS: (3), (7) imply: % 46.17/7.46 | | (8) e13 = e11 % 46.17/7.46 | | % 46.17/7.46 | | SIMP: (8) implies: % 46.17/7.46 | | (9) e13 = e11 % 46.17/7.46 | | % 46.17/7.46 | | REDUCE: (4), (9) imply: % 46.17/7.46 | | (10) $false % 46.17/7.46 | | % 46.17/7.46 | | CLOSE: (10) is inconsistent. % 46.17/7.46 | | % 46.17/7.46 | End of split % 46.17/7.46 | % 46.17/7.46 End of proof % 46.17/7.46 % 46.17/7.46 Sub-proof #31 shows that the following formulas are inconsistent: % 46.17/7.46 ---------------------------------------------------------------- % 46.17/7.46 (1) all_26_16 = e12 & all_26_30 = e13 & ~ (all_26_17 = e11) & ~ (all_26_28 % 46.17/7.46 = e13) % 46.17/7.46 (2) all_26_30 = e12 % 46.17/7.46 (3) ~ (e13 = e12) % 46.17/7.46 % 46.17/7.46 Begin of proof % 46.17/7.46 | % 46.17/7.46 | ALPHA: (1) implies: % 46.17/7.46 | (4) all_26_30 = e13 % 46.17/7.46 | % 46.17/7.46 | COMBINE_EQS: (2), (4) imply: % 46.17/7.46 | (5) e13 = e12 % 46.17/7.46 | % 46.17/7.46 | REDUCE: (3), (5) imply: % 46.17/7.46 | (6) $false % 46.17/7.46 | % 46.17/7.46 | CLOSE: (6) is inconsistent. % 46.17/7.46 | % 46.17/7.46 End of proof % 46.17/7.46 % 46.17/7.46 Sub-proof #32 shows that the following formulas are inconsistent: % 46.17/7.46 ---------------------------------------------------------------- % 46.17/7.46 (1) all_26_4 = e13 & all_26_5 = e12 & all_26_6 = e11 & all_26_7 = e10 & ( ~ % 46.17/7.46 (all_26_19 = e13) | all_26_26 = e12) & ( ~ (all_26_20 = e11) | % 46.17/7.46 all_26_30 = e12) & ( ~ (all_26_21 = e10) | all_26_31 = e12) % 46.17/7.46 (2) all_26_6 = all_12_1 % 46.17/7.46 (3) ~ (all_12_1 = e11) % 46.17/7.46 % 46.17/7.46 Begin of proof % 46.17/7.46 | % 46.17/7.46 | ALPHA: (1) implies: % 46.17/7.46 | (4) all_26_6 = e11 % 46.17/7.46 | % 46.17/7.46 | COMBINE_EQS: (2), (4) imply: % 46.17/7.46 | (5) all_12_1 = e11 % 46.17/7.46 | % 46.17/7.46 | REDUCE: (3), (5) imply: % 46.17/7.46 | (6) $false % 46.17/7.46 | % 46.17/7.46 | CLOSE: (6) is inconsistent. % 46.17/7.46 | % 46.17/7.46 End of proof % 46.17/7.46 % 46.17/7.46 Sub-proof #33 shows that the following formulas are inconsistent: % 46.17/7.46 ---------------------------------------------------------------- % 46.17/7.46 (1) all_16_4 = e12 | all_16_4 = e10 % 46.17/7.46 (2) all_16_4 = all_12_1 % 46.17/7.47 (3) ~ (all_12_1 = e12) % 46.17/7.47 (4) ~ (all_12_1 = e10) % 46.17/7.47 % 46.17/7.47 Begin of proof % 46.17/7.47 | % 46.17/7.47 | BETA: splitting (1) gives: % 46.17/7.47 | % 46.17/7.47 | Case 1: % 46.17/7.47 | | % 46.17/7.47 | | (5) all_16_4 = e12 % 46.17/7.47 | | % 46.17/7.47 | | COMBINE_EQS: (2), (5) imply: % 46.17/7.47 | | (6) all_12_1 = e12 % 46.17/7.47 | | % 46.17/7.47 | | SIMP: (6) implies: % 46.17/7.47 | | (7) all_12_1 = e12 % 46.17/7.47 | | % 46.17/7.47 | | REDUCE: (3), (7) imply: % 46.17/7.47 | | (8) $false % 46.17/7.47 | | % 46.17/7.47 | | CLOSE: (8) is inconsistent. % 46.17/7.47 | | % 46.17/7.47 | Case 2: % 46.17/7.47 | | % 46.17/7.47 | | (9) all_16_4 = e10 % 46.17/7.47 | | % 46.17/7.47 | | COMBINE_EQS: (2), (9) imply: % 46.17/7.47 | | (10) all_12_1 = e10 % 46.17/7.47 | | % 46.17/7.47 | | SIMP: (10) implies: % 46.17/7.47 | | (11) all_12_1 = e10 % 46.17/7.47 | | % 46.17/7.47 | | REDUCE: (4), (11) imply: % 46.17/7.47 | | (12) $false % 46.17/7.47 | | % 46.17/7.47 | | CLOSE: (12) is inconsistent. % 46.17/7.47 | | % 46.17/7.47 | End of split % 46.17/7.47 | % 46.17/7.47 End of proof % 46.17/7.47 % 46.17/7.47 Sub-proof #34 shows that the following formulas are inconsistent: % 46.17/7.47 ---------------------------------------------------------------- % 46.17/7.47 (1) all_16_4 = all_12_1 % 46.17/7.47 (2) all_16_4 = e11 % 46.17/7.47 (3) ~ (all_12_1 = e11) % 46.17/7.47 % 46.17/7.47 Begin of proof % 46.17/7.47 | % 46.17/7.47 | COMBINE_EQS: (1), (2) imply: % 46.17/7.47 | (4) all_12_1 = e11 % 46.17/7.47 | % 46.17/7.47 | SIMP: (4) implies: % 46.17/7.47 | (5) all_12_1 = e11 % 46.17/7.47 | % 46.17/7.47 | REDUCE: (3), (5) imply: % 46.17/7.47 | (6) $false % 46.17/7.47 | % 46.17/7.47 | CLOSE: (6) is inconsistent. % 46.17/7.47 | % 46.17/7.47 End of proof % 46.17/7.47 % 46.17/7.47 Sub-proof #35 shows that the following formulas are inconsistent: % 46.17/7.47 ---------------------------------------------------------------- % 46.17/7.47 (1) ~ (e11 = e10) % 46.17/7.47 (2) ~ (e13 = e10) % 46.17/7.47 (3) all_22_11 = e11 % 46.17/7.47 (4) all_22_9 = e13 % 46.17/7.47 (5) all_22_10 = all_12_13 % 46.17/7.47 (6) ~ (all_12_13 = e10) % 46.17/7.47 (7) all_22_9 = e10 | all_22_10 = e10 | all_22_11 = e10 % 46.17/7.47 % 46.17/7.47 Begin of proof % 46.17/7.47 | % 46.17/7.47 | BETA: splitting (7) gives: % 46.17/7.47 | % 46.17/7.47 | Case 1: % 46.17/7.47 | | % 46.17/7.47 | | (8) all_22_9 = e10 % 46.17/7.47 | | % 46.17/7.47 | | COMBINE_EQS: (4), (8) imply: % 46.17/7.47 | | (9) e13 = e10 % 46.17/7.47 | | % 46.17/7.47 | | SIMP: (9) implies: % 46.17/7.47 | | (10) e13 = e10 % 46.17/7.47 | | % 46.17/7.47 | | REDUCE: (2), (10) imply: % 46.17/7.47 | | (11) $false % 46.17/7.47 | | % 46.17/7.47 | | CLOSE: (11) is inconsistent. % 46.17/7.47 | | % 46.17/7.47 | Case 2: % 46.17/7.47 | | % 46.17/7.47 | | (12) all_22_10 = e10 | all_22_11 = e10 % 46.17/7.47 | | % 46.17/7.47 | | BETA: splitting (12) gives: % 46.17/7.47 | | % 46.17/7.47 | | Case 1: % 46.17/7.47 | | | % 46.17/7.47 | | | (13) all_22_10 = e10 % 46.17/7.47 | | | % 46.17/7.47 | | | COMBINE_EQS: (5), (13) imply: % 46.17/7.47 | | | (14) all_12_13 = e10 % 46.17/7.47 | | | % 46.17/7.47 | | | SIMP: (14) implies: % 46.17/7.47 | | | (15) all_12_13 = e10 % 46.17/7.47 | | | % 46.17/7.47 | | | REDUCE: (6), (15) imply: % 46.17/7.47 | | | (16) $false % 46.17/7.47 | | | % 46.17/7.47 | | | CLOSE: (16) is inconsistent. % 46.17/7.47 | | | % 46.17/7.47 | | Case 2: % 46.17/7.47 | | | % 46.17/7.47 | | | (17) all_22_11 = e10 % 46.17/7.47 | | | % 46.17/7.47 | | | COMBINE_EQS: (3), (17) imply: % 46.17/7.47 | | | (18) e11 = e10 % 46.17/7.47 | | | % 46.17/7.47 | | | SIMP: (18) implies: % 46.17/7.47 | | | (19) e11 = e10 % 46.17/7.47 | | | % 46.17/7.47 | | | REDUCE: (1), (19) imply: % 46.17/7.47 | | | (20) $false % 46.17/7.47 | | | % 46.17/7.47 | | | CLOSE: (20) is inconsistent. % 46.17/7.47 | | | % 46.17/7.47 | | End of split % 46.17/7.47 | | % 46.17/7.47 | End of split % 46.17/7.47 | % 46.17/7.47 End of proof % 46.17/7.47 % 46.17/7.47 Sub-proof #36 shows that the following formulas are inconsistent: % 46.17/7.47 ---------------------------------------------------------------- % 46.17/7.47 (1) all_26_23 = e12 & all_26_31 = e11 & ~ (all_26_24 = e10) & ~ (all_26_28 % 46.17/7.47 = e11) % 46.17/7.47 (2) all_26_23 = e13 % 46.17/7.47 (3) ~ (e13 = e12) % 46.17/7.47 % 46.17/7.47 Begin of proof % 46.17/7.47 | % 46.17/7.47 | ALPHA: (1) implies: % 46.17/7.47 | (4) all_26_23 = e12 % 46.17/7.47 | % 46.17/7.47 | COMBINE_EQS: (2), (4) imply: % 46.17/7.47 | (5) e13 = e12 % 46.17/7.47 | % 46.17/7.47 | REDUCE: (3), (5) imply: % 46.17/7.47 | (6) $false % 46.17/7.47 | % 46.17/7.47 | CLOSE: (6) is inconsistent. % 46.17/7.47 | % 46.17/7.47 End of proof % 46.17/7.47 % 46.17/7.47 Sub-proof #37 shows that the following formulas are inconsistent: % 46.17/7.47 ---------------------------------------------------------------- % 46.17/7.47 (1) all_26_26 = e11 % 46.17/7.47 (2) all_26_26 = e10 % 46.17/7.47 (3) ~ (e11 = e10) % 46.17/7.47 % 46.17/7.47 Begin of proof % 46.17/7.47 | % 46.17/7.47 | COMBINE_EQS: (1), (2) imply: % 46.17/7.47 | (4) e11 = e10 % 46.17/7.47 | % 46.17/7.47 | SIMP: (4) implies: % 46.17/7.47 | (5) e11 = e10 % 46.17/7.47 | % 46.17/7.47 | REDUCE: (3), (5) imply: % 46.17/7.47 | (6) $false % 46.17/7.47 | % 46.17/7.47 | CLOSE: (6) is inconsistent. % 46.17/7.47 | % 46.17/7.47 End of proof % 46.17/7.47 % 46.17/7.47 Sub-proof #38 shows that the following formulas are inconsistent: % 46.17/7.47 ---------------------------------------------------------------- % 46.17/7.47 (1) all_26_22 = e13 % 46.17/7.47 (2) all_26_22 = e11 % 46.17/7.47 (3) ~ (e13 = e11) % 46.17/7.47 % 46.17/7.47 Begin of proof % 46.17/7.47 | % 46.17/7.47 | COMBINE_EQS: (1), (2) imply: % 46.17/7.47 | (4) e13 = e11 % 46.17/7.47 | % 46.17/7.47 | SIMP: (4) implies: % 46.17/7.47 | (5) e13 = e11 % 46.17/7.47 | % 46.17/7.47 | REDUCE: (3), (5) imply: % 46.17/7.47 | (6) $false % 46.17/7.47 | % 46.17/7.47 | CLOSE: (6) is inconsistent. % 46.17/7.47 | % 46.17/7.47 End of proof % 46.17/7.47 % 46.17/7.47 Sub-proof #39 shows that the following formulas are inconsistent: % 46.17/7.47 ---------------------------------------------------------------- % 46.17/7.47 (1) all_26_26 = e12 % 46.17/7.47 (2) all_26_26 = e10 % 46.17/7.47 (3) ~ (e12 = e10) % 46.17/7.47 % 46.17/7.47 Begin of proof % 46.17/7.47 | % 46.17/7.47 | COMBINE_EQS: (1), (2) imply: % 46.17/7.47 | (4) e12 = e10 % 46.17/7.47 | % 46.17/7.47 | SIMP: (4) implies: % 46.17/7.47 | (5) e12 = e10 % 46.17/7.47 | % 46.17/7.47 | REDUCE: (3), (5) imply: % 46.17/7.47 | (6) $false % 46.17/7.47 | % 46.17/7.47 | CLOSE: (6) is inconsistent. % 46.17/7.47 | % 46.17/7.47 End of proof % 46.17/7.47 % 46.17/7.47 Sub-proof #40 shows that the following formulas are inconsistent: % 46.17/7.47 ---------------------------------------------------------------- % 46.17/7.47 (1) all_26_19 = e13 & all_26_31 = e12 & ~ (all_26_21 = e10) & ~ (all_26_26 % 46.17/7.47 = e12) % 46.17/7.47 (2) all_26_19 = e12 % 46.17/7.47 (3) ~ (e13 = e12) % 46.17/7.47 % 46.17/7.47 Begin of proof % 46.17/7.47 | % 46.17/7.47 | ALPHA: (1) implies: % 46.17/7.47 | (4) all_26_19 = e13 % 46.17/7.47 | % 46.17/7.47 | COMBINE_EQS: (2), (4) imply: % 46.17/7.47 | (5) e13 = e12 % 46.17/7.47 | % 46.17/7.47 | REDUCE: (3), (5) imply: % 46.17/7.47 | (6) $false % 46.17/7.47 | % 46.17/7.47 | CLOSE: (6) is inconsistent. % 46.17/7.47 | % 46.17/7.47 End of proof % 46.17/7.47 % 46.17/7.47 Sub-proof #41 shows that the following formulas are inconsistent: % 46.17/7.47 ---------------------------------------------------------------- % 46.17/7.47 (1) all_26_19 = e13 & all_26_30 = e12 & ~ (all_26_20 = e11) & ~ (all_26_26 % 46.17/7.47 = e12) % 46.17/7.47 (2) all_26_19 = e12 % 46.17/7.47 (3) ~ (e13 = e12) % 46.17/7.47 % 46.17/7.47 Begin of proof % 46.17/7.47 | % 46.17/7.47 | ALPHA: (1) implies: % 46.17/7.47 | (4) all_26_19 = e13 % 46.17/7.47 | % 46.17/7.47 | COMBINE_EQS: (2), (4) imply: % 46.17/7.47 | (5) e13 = e12 % 46.17/7.47 | % 46.17/7.47 | REDUCE: (3), (5) imply: % 46.17/7.47 | (6) $false % 46.17/7.47 | % 46.17/7.47 | CLOSE: (6) is inconsistent. % 46.17/7.47 | % 46.17/7.47 End of proof % 46.17/7.47 % 46.17/7.47 Sub-proof #42 shows that the following formulas are inconsistent: % 46.17/7.47 ---------------------------------------------------------------- % 46.17/7.47 (1) all_26_17 = e11 & all_26_28 = e13 & ~ (all_26_16 = e12) & ~ (all_26_30 % 46.17/7.47 = e13) % 46.17/7.47 (2) all_26_17 = e13 % 46.17/7.47 (3) ~ (e13 = e11) % 46.17/7.47 % 46.17/7.47 Begin of proof % 46.17/7.47 | % 46.17/7.47 | ALPHA: (1) implies: % 46.17/7.47 | (4) all_26_17 = e11 % 46.17/7.47 | % 46.17/7.47 | COMBINE_EQS: (2), (4) imply: % 46.17/7.47 | (5) e13 = e11 % 46.17/7.47 | % 46.17/7.47 | REDUCE: (3), (5) imply: % 46.17/7.47 | (6) $false % 46.17/7.47 | % 46.17/7.47 | CLOSE: (6) is inconsistent. % 46.17/7.47 | % 46.17/7.47 End of proof % 46.17/7.47 % 46.17/7.47 Sub-proof #43 shows that the following formulas are inconsistent: % 46.17/7.47 ---------------------------------------------------------------- % 46.17/7.47 (1) all_26_16 = e12 % 46.17/7.47 (2) all_26_16 = e11 % 46.17/7.47 (3) ~ (e12 = e11) % 46.17/7.47 % 46.17/7.47 Begin of proof % 46.17/7.47 | % 46.17/7.47 | COMBINE_EQS: (1), (2) imply: % 46.17/7.47 | (4) e12 = e11 % 46.17/7.47 | % 46.17/7.47 | SIMP: (4) implies: % 46.17/7.47 | (5) e12 = e11 % 46.17/7.47 | % 46.17/7.47 | REDUCE: (3), (5) imply: % 46.17/7.47 | (6) $false % 46.17/7.47 | % 46.17/7.47 | CLOSE: (6) is inconsistent. % 46.17/7.47 | % 46.17/7.47 End of proof % 46.17/7.47 % SZS output end Proof for theBenchmark % 46.17/7.47 % 46.17/7.47 6867ms %------------------------------------------------------------------------------