%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : ALG103+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 : n012.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 21.05s 3.60s % Output : Proof 61.27s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ALG103+1 : TPTP v8.1.2. Released v2.7.0. % 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.12/0.35 % Computer : n012.cluster.edu % 0.12/0.35 % Model : x86_64 x86_64 % 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.35 % Memory : 8042.1875MB % 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.35 % CPULimit : 300 % 0.12/0.35 % WCLimit : 300 % 0.12/0.35 % DateTime : Mon Aug 28 04:09:24 EDT 2023 % 0.12/0.35 % CPUTime : % 0.20/0.61 ________ _____ % 0.20/0.61 ___ __ \_________(_)________________________________ % 0.20/0.61 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.20/0.61 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.20/0.61 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.20/0.61 % 0.20/0.61 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.20/0.61 (2023-06-19) % 0.20/0.61 % 0.20/0.61 (c) Philipp Rümmer, 2009-2023 % 0.20/0.61 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.20/0.61 Amanda Stjerna. % 0.20/0.61 Free software under BSD-3-Clause. % 0.20/0.61 % 0.20/0.61 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.20/0.61 % 0.20/0.62 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.20/0.63 Running up to 7 provers in parallel. % 0.20/0.65 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.20/0.65 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.20/0.65 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.20/0.65 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.20/0.65 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.20/0.65 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.20/0.65 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 8.11/1.85 Prover 1: Preprocessing ... % 8.11/1.85 Prover 2: Preprocessing ... % 8.11/1.85 Prover 5: Preprocessing ... % 8.11/1.85 Prover 6: Preprocessing ... % 8.11/1.86 Prover 4: Preprocessing ... % 8.55/1.92 Prover 0: Preprocessing ... % 8.55/1.92 Prover 3: Preprocessing ... % 13.83/2.72 Prover 3: Constructing countermodel ... % 13.83/2.72 Prover 0: Constructing countermodel ... % 13.83/2.73 Prover 6: Constructing countermodel ... % 13.83/2.73 Prover 2: Constructing countermodel ... % 13.83/2.73 Prover 1: Constructing countermodel ... % 14.46/2.76 Prover 4: Constructing countermodel ... % 20.52/3.52 Prover 5: Constructing countermodel ... % 21.05/3.60 Prover 3: proved (2950ms) % 21.05/3.60 % 21.05/3.60 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 21.05/3.60 % 21.05/3.60 Prover 0: stopped % 21.05/3.61 Prover 6: stopped % 21.05/3.61 Prover 2: stopped % 21.66/3.63 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 21.66/3.63 Prover 5: stopped % 21.66/3.63 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 21.66/3.63 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 21.66/3.63 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 21.66/3.63 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 25.03/4.15 Prover 7: Preprocessing ... % 25.63/4.17 Prover 10: Preprocessing ... % 25.65/4.18 Prover 13: Preprocessing ... % 26.05/4.24 Prover 11: Preprocessing ... % 26.05/4.26 Prover 8: Preprocessing ... % 27.96/4.49 Prover 8: Constructing countermodel ... % 28.49/4.66 Prover 11: Constructing countermodel ... % 29.88/4.73 Prover 7: Constructing countermodel ... % 29.88/4.76 Prover 13: Constructing countermodel ... % 29.88/4.78 Prover 10: Constructing countermodel ... % 53.84/8.02 Prover 1: Found proof (size 10283) % 53.84/8.02 Prover 1: proved (7384ms) % 53.84/8.02 Prover 11: stopped % 53.84/8.02 Prover 7: stopped % 53.84/8.02 Prover 10: stopped % 53.84/8.02 Prover 8: stopped % 53.84/8.02 Prover 4: stopped % 53.84/8.02 Prover 13: stopped % 53.84/8.02 % 53.84/8.02 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 53.84/8.02 % 57.16/8.79 % SZS output start Proof for theBenchmark % 57.16/8.82 Assumptions after simplification: % 57.16/8.82 --------------------------------- % 57.16/8.82 % 57.16/8.82 (ax1) % 57.44/8.87 $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] : ? [v2: % 57.44/8.87 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : % 57.44/8.87 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? % 57.44/8.87 [v13: $i] : ? [v14: $i] : ? [v15: $i] : (op1(e13, e13) = v15 & op1(e13, e12) % 57.44/8.87 = v14 & op1(e13, e11) = v13 & op1(e13, e10) = v12 & op1(e12, e13) = v11 & % 57.44/8.87 op1(e12, e12) = v10 & op1(e12, e11) = v9 & op1(e12, e10) = v8 & op1(e11, % 57.44/8.87 e13) = v7 & op1(e11, e12) = v6 & op1(e11, e11) = v5 & op1(e11, e10) = v4 & % 57.44/8.87 op1(e10, e13) = v3 & op1(e10, e12) = v2 & op1(e10, e11) = v1 & op1(e10, e10) % 57.44/8.87 = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & % 57.44/8.87 $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & % 57.44/8.87 $i(v0) & (v15 = e13 | v15 = e12 | v15 = e11 | v15 = e10) & (v14 = e13 | v14 % 57.44/8.87 = e12 | v14 = e11 | v14 = e10) & (v13 = e13 | v13 = e12 | v13 = e11 | v13 % 57.44/8.87 = e10) & (v12 = e13 | v12 = e12 | v12 = e11 | v12 = e10) & (v11 = e13 | % 57.44/8.87 v11 = e12 | v11 = e11 | v11 = e10) & (v10 = e13 | v10 = e12 | v10 = e11 | % 57.44/8.87 v10 = e10) & (v9 = e13 | v9 = e12 | v9 = e11 | v9 = e10) & (v8 = e13 | v8 % 57.44/8.87 = e12 | v8 = e11 | v8 = e10) & (v7 = e13 | v7 = e12 | v7 = e11 | v7 = e10) % 57.44/8.87 & (v6 = e13 | v6 = e12 | v6 = e11 | v6 = e10) & (v5 = e13 | v5 = e12 | v5 = % 57.44/8.87 e11 | v5 = e10) & (v4 = e13 | v4 = e12 | v4 = e11 | v4 = e10) & (v3 = e13 % 57.44/8.87 | v3 = e12 | v3 = e11 | v3 = e10) & (v2 = e13 | v2 = e12 | v2 = e11 | v2 = % 57.44/8.87 e10) & (v1 = e13 | v1 = e12 | v1 = e11 | v1 = e10) & (v0 = e13 | v0 = e12 % 57.44/8.87 | v0 = e11 | v0 = e10)) % 57.44/8.87 % 57.44/8.87 (ax10) % 57.69/8.89 $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] : ? [v2: % 57.69/8.89 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : % 57.69/8.89 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? % 57.69/8.89 [v13: $i] : ? [v14: $i] : ? [v15: $i] : (op1(e13, e13) = v5 & op1(e13, e12) % 57.69/8.89 = v12 & op1(e13, e11) = v9 & op1(e13, e10) = v6 & op1(e12, e13) = v15 & % 57.69/8.89 op1(e12, e12) = v3 & op1(e12, e11) = v8 & op1(e12, e10) = v4 & op1(e11, e13) % 57.69/8.89 = v14 & op1(e11, e12) = v11 & op1(e11, e11) = v1 & op1(e11, e10) = v2 & % 57.69/8.89 op1(e10, e13) = v13 & op1(e10, e12) = v10 & op1(e10, e11) = v7 & op1(e10, % 57.69/8.89 e10) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & % 57.69/8.89 $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & % 57.69/8.89 $i(v1) & $i(v0) & ((v15 = e12 & v1 = e13 & ~ (v14 = e11) & ~ (v3 = e13)) | % 57.69/8.89 (v15 = e12 & v0 = e13 & ~ (v13 = e10) & ~ (v3 = e13)) | (v14 = e11 & v3 % 57.69/8.89 = e13 & ~ (v15 = e12) & ~ (v1 = e13)) | (v14 = e11 & v0 = e13 & ~ % 57.69/8.89 (v13 = e10) & ~ (v1 = e13)) | (v13 = e10 & v3 = e13 & ~ (v15 = e12) & % 57.69/8.89 ~ (v0 = e13)) | (v13 = e10 & v1 = e13 & ~ (v14 = e11) & ~ (v0 = e13)) % 57.69/8.89 | (v12 = e13 & v1 = e12 & ~ (v11 = e11) & ~ (v5 = e12)) | (v12 = e13 & % 57.69/8.89 v0 = e12 & ~ (v10 = e10) & ~ (v5 = e12)) | (v11 = e11 & v5 = e12 & ~ % 57.69/8.89 (v12 = e13) & ~ (v1 = e12)) | (v11 = e11 & v0 = e12 & ~ (v10 = e10) & % 57.69/8.89 ~ (v1 = e12)) | (v10 = e10 & v5 = e12 & ~ (v12 = e13) & ~ (v0 = e12)) % 57.69/8.89 | (v10 = e10 & v1 = e12 & ~ (v11 = e11) & ~ (v0 = e12)) | (v9 = e13 & v3 % 57.69/8.89 = e11 & ~ (v8 = e12) & ~ (v5 = e11)) | (v9 = e13 & v0 = e11 & ~ (v7 = % 57.69/8.89 e10) & ~ (v5 = e11)) | (v8 = e12 & v5 = e11 & ~ (v9 = e13) & ~ (v3 % 57.69/8.89 = e11)) | (v8 = e12 & v0 = e11 & ~ (v7 = e10) & ~ (v3 = e11)) | (v7 % 57.69/8.89 = e10 & v5 = e11 & ~ (v9 = e13) & ~ (v0 = e11)) | (v7 = e10 & v3 = e11 % 57.69/8.89 & ~ (v8 = e12) & ~ (v0 = e11)) | (v6 = e13 & v3 = e10 & ~ (v5 = e10) % 57.69/8.89 & ~ (v4 = e12)) | (v6 = e13 & v1 = e10 & ~ (v5 = e10) & ~ (v2 = e11)) % 57.69/8.89 | (v5 = e10 & v4 = e12 & ~ (v6 = e13) & ~ (v3 = e10)) | (v5 = e10 & v2 = % 57.69/8.89 e11 & ~ (v6 = e13) & ~ (v1 = e10)) | (v4 = e12 & v1 = e10 & ~ (v3 = % 57.69/8.89 e10) & ~ (v2 = e11)) | (v3 = e10 & v2 = e11 & ~ (v4 = e12) & ~ (v1 % 57.69/8.89 = e10))) & ((v5 = e13 & ( ~ (v3 = e13) | v15 = e12) & ( ~ (v1 = e13) | % 57.69/8.89 v14 = e11) & ( ~ (v0 = e13) | v13 = e10)) | (v3 = e12 & ( ~ (v5 = e12) % 57.69/8.89 | v12 = e13) & ( ~ (v1 = e12) | v11 = e11) & ( ~ (v0 = e12) | v10 = % 57.69/8.89 e10)) | (v1 = e11 & ( ~ (v5 = e11) | v9 = e13) & ( ~ (v3 = e11) | v8 = % 57.69/8.89 e12) & ( ~ (v0 = e11) | v7 = e10)) | (v0 = e10 & ( ~ (v5 = e10) | v6 = % 57.69/8.89 e13) & ( ~ (v3 = e10) | v4 = e12) & ( ~ (v1 = e10) | v2 = e11)))) % 57.69/8.89 % 57.69/8.89 (ax11) % 57.69/8.90 $i(e23) & $i(e22) & $i(e21) & $i(e20) & ? [v0: $i] : ? [v1: $i] : ? [v2: % 57.69/8.90 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : % 57.69/8.90 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? % 57.69/8.90 [v13: $i] : ? [v14: $i] : ? [v15: $i] : (op2(e23, e23) = v5 & op2(e23, e22) % 57.69/8.90 = v12 & op2(e23, e21) = v9 & op2(e23, e20) = v6 & op2(e22, e23) = v15 & % 57.69/8.90 op2(e22, e22) = v3 & op2(e22, e21) = v8 & op2(e22, e20) = v4 & op2(e21, e23) % 57.69/8.90 = v14 & op2(e21, e22) = v11 & op2(e21, e21) = v1 & op2(e21, e20) = v2 & % 57.69/8.90 op2(e20, e23) = v13 & op2(e20, e22) = v10 & op2(e20, e21) = v7 & op2(e20, % 57.69/8.90 e20) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & % 57.69/8.90 $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & % 57.69/8.90 $i(v1) & $i(v0) & ((v15 = e22 & v1 = e23 & ~ (v14 = e21) & ~ (v3 = e23)) | % 57.69/8.90 (v15 = e22 & v0 = e23 & ~ (v13 = e20) & ~ (v3 = e23)) | (v14 = e21 & v3 % 57.69/8.90 = e23 & ~ (v15 = e22) & ~ (v1 = e23)) | (v14 = e21 & v0 = e23 & ~ % 57.69/8.90 (v13 = e20) & ~ (v1 = e23)) | (v13 = e20 & v3 = e23 & ~ (v15 = e22) & % 57.69/8.90 ~ (v0 = e23)) | (v13 = e20 & v1 = e23 & ~ (v14 = e21) & ~ (v0 = e23)) % 57.69/8.90 | (v12 = e23 & v1 = e22 & ~ (v11 = e21) & ~ (v5 = e22)) | (v12 = e23 & % 57.69/8.90 v0 = e22 & ~ (v10 = e20) & ~ (v5 = e22)) | (v11 = e21 & v5 = e22 & ~ % 57.69/8.90 (v12 = e23) & ~ (v1 = e22)) | (v11 = e21 & v0 = e22 & ~ (v10 = e20) & % 57.69/8.90 ~ (v1 = e22)) | (v10 = e20 & v5 = e22 & ~ (v12 = e23) & ~ (v0 = e22)) % 57.69/8.90 | (v10 = e20 & v1 = e22 & ~ (v11 = e21) & ~ (v0 = e22)) | (v9 = e23 & v3 % 57.69/8.90 = e21 & ~ (v8 = e22) & ~ (v5 = e21)) | (v9 = e23 & v0 = e21 & ~ (v7 = % 57.69/8.90 e20) & ~ (v5 = e21)) | (v8 = e22 & v5 = e21 & ~ (v9 = e23) & ~ (v3 % 57.69/8.90 = e21)) | (v8 = e22 & v0 = e21 & ~ (v7 = e20) & ~ (v3 = e21)) | (v7 % 57.69/8.90 = e20 & v5 = e21 & ~ (v9 = e23) & ~ (v0 = e21)) | (v7 = e20 & v3 = e21 % 57.69/8.90 & ~ (v8 = e22) & ~ (v0 = e21)) | (v6 = e23 & v3 = e20 & ~ (v5 = e20) % 57.69/8.90 & ~ (v4 = e22)) | (v6 = e23 & v1 = e20 & ~ (v5 = e20) & ~ (v2 = e21)) % 57.69/8.90 | (v5 = e20 & v4 = e22 & ~ (v6 = e23) & ~ (v3 = e20)) | (v5 = e20 & v2 = % 57.69/8.90 e21 & ~ (v6 = e23) & ~ (v1 = e20)) | (v4 = e22 & v1 = e20 & ~ (v3 = % 57.69/8.90 e20) & ~ (v2 = e21)) | (v3 = e20 & v2 = e21 & ~ (v4 = e22) & ~ (v1 % 57.69/8.90 = e20))) & ((v5 = e23 & ( ~ (v3 = e23) | v15 = e22) & ( ~ (v1 = e23) | % 57.69/8.90 v14 = e21) & ( ~ (v0 = e23) | v13 = e20)) | (v3 = e22 & ( ~ (v5 = e22) % 57.69/8.90 | v12 = e23) & ( ~ (v1 = e22) | v11 = e21) & ( ~ (v0 = e22) | v10 = % 57.69/8.90 e20)) | (v1 = e21 & ( ~ (v5 = e21) | v9 = e23) & ( ~ (v3 = e21) | v8 = % 57.69/8.90 e22) & ( ~ (v0 = e21) | v7 = e20)) | (v0 = e20 & ( ~ (v5 = e20) | v6 = % 57.69/8.90 e23) & ( ~ (v3 = e20) | v4 = e22) & ( ~ (v1 = e20) | v2 = e21)))) % 57.69/8.90 % 57.69/8.90 (ax12) % 57.69/8.90 op1(e12, e10) = e13 & op1(e10, e11) = e12 & op1(e10, e10) = e11 & $i(e13) & % 57.69/8.90 $i(e12) & $i(e11) & $i(e10) % 57.69/8.90 % 57.69/8.90 (ax13) % 57.69/8.90 op2(e22, e20) = e23 & op2(e20, e21) = e22 & op2(e20, e20) = e21 & $i(e23) & % 57.69/8.90 $i(e22) & $i(e21) & $i(e20) % 57.69/8.90 % 57.69/8.90 (ax14) % 57.69/8.91 $i(e20) & $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] : % 57.69/8.91 ? [v2: $i] : (h1(e13) = v2 & h1(e12) = v1 & h1(e11) = v0 & h1(e10) = e20 & % 57.69/8.91 op2(v1, e20) = v2 & op2(e20, v0) = v1 & op2(e20, e20) = v0 & $i(v2) & $i(v1) % 57.69/8.91 & $i(v0)) % 57.69/8.91 % 57.69/8.91 (ax15) % 57.69/8.91 $i(e21) & $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] : % 57.69/8.91 ? [v2: $i] : (h2(e13) = v2 & h2(e12) = v1 & h2(e11) = v0 & h2(e10) = e21 & % 57.69/8.91 op2(v1, e21) = v2 & op2(e21, v0) = v1 & op2(e21, e21) = v0 & $i(v2) & $i(v1) % 57.69/8.91 & $i(v0)) % 57.69/8.91 % 57.69/8.91 (ax16) % 57.69/8.91 $i(e22) & $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] : % 57.69/8.91 ? [v2: $i] : (h3(e13) = v2 & h3(e12) = v1 & h3(e11) = v0 & h3(e10) = e22 & % 57.69/8.91 op2(v1, e22) = v2 & op2(e22, v0) = v1 & op2(e22, e22) = v0 & $i(v2) & $i(v1) % 57.69/8.91 & $i(v0)) % 57.69/8.91 % 57.69/8.91 (ax17) % 57.69/8.91 $i(e23) & $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] : % 57.69/8.91 ? [v2: $i] : (h4(e13) = v2 & h4(e12) = v1 & h4(e11) = v0 & h4(e10) = e23 & % 57.69/8.91 op2(v1, e23) = v2 & op2(e23, v0) = v1 & op2(e23, e23) = v0 & $i(v2) & $i(v1) % 57.69/8.91 & $i(v0)) % 57.69/8.91 % 57.69/8.91 (ax2) % 57.69/8.92 $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] : ? [v2: % 57.69/8.92 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : % 57.69/8.92 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? % 57.69/8.92 [v13: $i] : ? [v14: $i] : ? [v15: $i] : (op1(e13, e13) = v15 & op1(e13, e12) % 57.69/8.92 = v14 & op1(e13, e11) = v11 & op1(e13, e10) = v6 & op1(e12, e13) = v13 & % 57.69/8.92 op1(e12, e12) = v12 & op1(e12, e11) = v10 & op1(e12, e10) = v5 & op1(e11, % 57.69/8.92 e13) = v9 & op1(e11, e12) = v8 & op1(e11, e11) = v7 & op1(e11, e10) = v4 & % 57.69/8.92 op1(e10, e13) = v3 & op1(e10, e12) = v2 & op1(e10, e11) = v1 & op1(e10, e10) % 57.69/8.92 = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & % 57.69/8.92 $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & % 57.69/8.92 $i(v0) & (v15 = e13 | v14 = e13 | v11 = e13 | v6 = e13) & (v15 = e13 | v13 = % 57.69/8.92 e13 | v9 = e13 | v3 = e13) & (v15 = e12 | v14 = e12 | v11 = e12 | v6 = % 57.69/8.92 e12) & (v15 = e12 | v13 = e12 | v9 = e12 | v3 = e12) & (v15 = e11 | v14 = % 57.69/8.92 e11 | v11 = e11 | v6 = e11) & (v15 = e11 | v13 = e11 | v9 = e11 | v3 = % 57.69/8.92 e11) & (v15 = e10 | v14 = e10 | v11 = e10 | v6 = e10) & (v15 = e10 | v13 = % 57.69/8.92 e10 | v9 = e10 | v3 = e10) & (v14 = e13 | v12 = e13 | v8 = e13 | v2 = e13) % 57.69/8.92 & (v14 = e12 | v12 = e12 | v8 = e12 | v2 = e12) & (v14 = e11 | v12 = e11 | % 57.69/8.92 v8 = e11 | v2 = e11) & (v14 = e10 | v12 = e10 | v8 = e10 | v2 = e10) & % 57.69/8.92 (v13 = e13 | v12 = e13 | v10 = e13 | v5 = e13) & (v13 = e12 | v12 = e12 | % 57.69/8.92 v10 = e12 | v5 = e12) & (v13 = e11 | v12 = e11 | v10 = e11 | v5 = e11) & % 57.69/8.92 (v13 = e10 | v12 = e10 | v10 = e10 | v5 = e10) & (v11 = e13 | v10 = e13 | v7 % 57.69/8.92 = e13 | v1 = e13) & (v11 = e12 | v10 = e12 | v7 = e12 | v1 = e12) & (v11 = % 57.69/8.92 e11 | v10 = e11 | v7 = e11 | v1 = e11) & (v11 = e10 | v10 = e10 | v7 = e10 % 57.69/8.92 | v1 = e10) & (v9 = e13 | v8 = e13 | v7 = e13 | v4 = e13) & (v9 = e12 | v8 % 57.69/8.92 = e12 | v7 = e12 | v4 = e12) & (v9 = e11 | v8 = e11 | v7 = e11 | v4 = e11) % 57.69/8.92 & (v9 = e10 | v8 = e10 | v7 = e10 | v4 = e10) & (v6 = e13 | v5 = e13 | v4 = % 57.69/8.92 e13 | v0 = e13) & (v6 = e12 | v5 = e12 | v4 = e12 | v0 = e12) & (v6 = e11 % 57.69/8.92 | v5 = e11 | v4 = e11 | v0 = e11) & (v3 = e13 | v2 = e13 | v1 = e13 | v0 = % 57.69/8.92 e13) & (v3 = e12 | v2 = e12 | v1 = e12 | v0 = e12) & (v3 = e11 | v2 = e11 % 57.69/8.92 | v1 = e11 | v0 = e11) & (v0 = e10 | ((v6 = e10 | v5 = e10 | v4 = e10) & % 57.69/8.92 (v3 = e10 | v2 = e10 | v1 = e10)))) % 57.69/8.92 % 57.69/8.92 (ax3) % 57.69/8.92 $i(e23) & $i(e22) & $i(e21) & $i(e20) & ? [v0: $i] : ? [v1: $i] : ? [v2: % 57.69/8.92 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : % 57.69/8.92 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? % 57.69/8.92 [v13: $i] : ? [v14: $i] : ? [v15: $i] : (op2(e23, e23) = v15 & op2(e23, e22) % 57.69/8.92 = v14 & op2(e23, e21) = v13 & op2(e23, e20) = v12 & op2(e22, e23) = v11 & % 57.69/8.92 op2(e22, e22) = v10 & op2(e22, e21) = v9 & op2(e22, e20) = v8 & op2(e21, % 57.69/8.92 e23) = v7 & op2(e21, e22) = v6 & op2(e21, e21) = v5 & op2(e21, e20) = v4 & % 57.69/8.92 op2(e20, e23) = v3 & op2(e20, e22) = v2 & op2(e20, e21) = v1 & op2(e20, e20) % 57.69/8.93 = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & % 57.69/8.93 $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & % 57.69/8.93 $i(v0) & (v15 = e23 | v15 = e22 | v15 = e21 | v15 = e20) & (v14 = e23 | v14 % 57.69/8.93 = e22 | v14 = e21 | v14 = e20) & (v13 = e23 | v13 = e22 | v13 = e21 | v13 % 57.69/8.93 = e20) & (v12 = e23 | v12 = e22 | v12 = e21 | v12 = e20) & (v11 = e23 | % 57.69/8.93 v11 = e22 | v11 = e21 | v11 = e20) & (v10 = e23 | v10 = e22 | v10 = e21 | % 57.69/8.93 v10 = e20) & (v9 = e23 | v9 = e22 | v9 = e21 | v9 = e20) & (v8 = e23 | v8 % 57.69/8.93 = e22 | v8 = e21 | v8 = e20) & (v7 = e23 | v7 = e22 | v7 = e21 | v7 = e20) % 57.69/8.93 & (v6 = e23 | v6 = e22 | v6 = e21 | v6 = e20) & (v5 = e23 | v5 = e22 | v5 = % 57.69/8.93 e21 | v5 = e20) & (v4 = e23 | v4 = e22 | v4 = e21 | v4 = e20) & (v3 = e23 % 57.69/8.93 | v3 = e22 | v3 = e21 | v3 = e20) & (v2 = e23 | v2 = e22 | v2 = e21 | v2 = % 57.69/8.93 e20) & (v1 = e23 | v1 = e22 | v1 = e21 | v1 = e20) & (v0 = e23 | v0 = e22 % 57.69/8.93 | v0 = e21 | v0 = e20)) % 57.69/8.93 % 57.69/8.93 (ax4) % 57.69/8.93 $i(e23) & $i(e22) & $i(e21) & $i(e20) & ? [v0: $i] : ? [v1: $i] : ? [v2: % 57.69/8.93 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : % 57.69/8.93 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? % 57.69/8.93 [v13: $i] : ? [v14: $i] : ? [v15: $i] : (op2(e23, e23) = v15 & op2(e23, e22) % 57.69/8.93 = v14 & op2(e23, e21) = v11 & op2(e23, e20) = v6 & op2(e22, e23) = v13 & % 57.69/8.93 op2(e22, e22) = v12 & op2(e22, e21) = v10 & op2(e22, e20) = v5 & op2(e21, % 57.69/8.93 e23) = v9 & op2(e21, e22) = v8 & op2(e21, e21) = v7 & op2(e21, e20) = v4 & % 57.69/8.93 op2(e20, e23) = v3 & op2(e20, e22) = v2 & op2(e20, e21) = v1 & op2(e20, e20) % 57.69/8.93 = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & % 57.69/8.93 $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & % 57.69/8.93 $i(v0) & (v15 = e23 | v14 = e23 | v11 = e23 | v6 = e23) & (v15 = e23 | v13 = % 57.69/8.93 e23 | v9 = e23 | v3 = e23) & (v15 = e22 | v14 = e22 | v11 = e22 | v6 = % 57.69/8.93 e22) & (v15 = e22 | v13 = e22 | v9 = e22 | v3 = e22) & (v15 = e21 | v14 = % 57.69/8.93 e21 | v11 = e21 | v6 = e21) & (v15 = e21 | v13 = e21 | v9 = e21 | v3 = % 57.69/8.93 e21) & (v15 = e20 | v14 = e20 | v11 = e20 | v6 = e20) & (v15 = e20 | v13 = % 57.69/8.93 e20 | v9 = e20 | v3 = e20) & (v14 = e23 | v12 = e23 | v8 = e23 | v2 = e23) % 57.69/8.93 & (v14 = e22 | v12 = e22 | v8 = e22 | v2 = e22) & (v14 = e21 | v12 = e21 | % 57.69/8.93 v8 = e21 | v2 = e21) & (v14 = e20 | v12 = e20 | v8 = e20 | v2 = e20) & % 57.69/8.93 (v13 = e23 | v12 = e23 | v10 = e23 | v5 = e23) & (v13 = e22 | v12 = e22 | % 57.69/8.93 v10 = e22 | v5 = e22) & (v13 = e21 | v12 = e21 | v10 = e21 | v5 = e21) & % 57.69/8.93 (v13 = e20 | v12 = e20 | v10 = e20 | v5 = e20) & (v11 = e23 | v10 = e23 | v7 % 57.69/8.93 = e23 | v1 = e23) & (v11 = e22 | v10 = e22 | v7 = e22 | v1 = e22) & (v11 = % 57.69/8.93 e21 | v10 = e21 | v7 = e21 | v1 = e21) & (v11 = e20 | v10 = e20 | v7 = e20 % 57.69/8.93 | v1 = e20) & (v9 = e23 | v8 = e23 | v7 = e23 | v4 = e23) & (v9 = e22 | v8 % 57.69/8.93 = e22 | v7 = e22 | v4 = e22) & (v9 = e21 | v8 = e21 | v7 = e21 | v4 = e21) % 57.69/8.93 & (v9 = e20 | v8 = e20 | v7 = e20 | v4 = e20) & (v6 = e23 | v5 = e23 | v4 = % 57.69/8.93 e23 | v0 = e23) & (v6 = e22 | v5 = e22 | v4 = e22 | v0 = e22) & (v6 = e21 % 57.69/8.93 | v5 = e21 | v4 = e21 | v0 = e21) & (v3 = e23 | v2 = e23 | v1 = e23 | v0 = % 57.69/8.93 e23) & (v3 = e22 | v2 = e22 | v1 = e22 | v0 = e22) & (v3 = e21 | v2 = e21 % 57.69/8.93 | v1 = e21 | v0 = e21) & (v0 = e20 | ((v6 = e20 | v5 = e20 | v4 = e20) & % 57.69/8.93 (v3 = e20 | v2 = e20 | v1 = e20)))) % 57.69/8.93 % 57.69/8.93 (ax5) % 57.69/8.94 $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] : ? [v2: % 57.69/8.94 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : % 57.69/8.94 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? % 57.69/8.94 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ( ~ (v15 = v14) & ~ (v15 = v13) & % 57.69/8.94 ~ (v15 = v12) & ~ (v15 = v11) & ~ (v15 = v7) & ~ (v15 = v3) & ~ (v14 = % 57.69/8.94 v13) & ~ (v14 = v12) & ~ (v14 = v10) & ~ (v14 = v6) & ~ (v14 = v2) & % 57.69/8.94 ~ (v13 = v12) & ~ (v13 = v9) & ~ (v13 = v5) & ~ (v13 = v1) & ~ (v12 = % 57.69/8.94 v8) & ~ (v12 = v4) & ~ (v12 = v0) & ~ (v11 = v10) & ~ (v11 = v9) & ~ % 57.69/8.94 (v11 = v8) & ~ (v11 = v7) & ~ (v11 = v3) & ~ (v10 = v9) & ~ (v10 = v8) & % 57.69/8.94 ~ (v10 = v6) & ~ (v10 = v2) & ~ (v9 = v8) & ~ (v9 = v5) & ~ (v9 = v1) & % 57.69/8.94 ~ (v8 = v4) & ~ (v8 = v0) & ~ (v7 = v6) & ~ (v7 = v5) & ~ (v7 = v4) & % 57.69/8.94 ~ (v7 = v3) & ~ (v6 = v5) & ~ (v6 = v4) & ~ (v6 = v2) & ~ (v5 = v4) & ~ % 57.69/8.94 (v5 = v1) & ~ (v4 = v0) & ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~ % 57.69/8.94 (v2 = v1) & ~ (v2 = v0) & ~ (v1 = v0) & op1(e13, e13) = v15 & op1(e13, % 57.69/8.94 e12) = v11 & op1(e13, e11) = v7 & op1(e13, e10) = v3 & op1(e12, e13) = v14 % 57.69/8.94 & op1(e12, e12) = v10 & op1(e12, e11) = v6 & op1(e12, e10) = v2 & op1(e11, % 57.69/8.94 e13) = v13 & op1(e11, e12) = v9 & op1(e11, e11) = v5 & op1(e11, e10) = v1 % 57.69/8.94 & op1(e10, e13) = v12 & op1(e10, e12) = v8 & op1(e10, e11) = v4 & op1(e10, % 57.69/8.94 e10) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & % 57.69/8.94 $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & % 57.69/8.94 $i(v1) & $i(v0)) % 57.69/8.94 % 57.69/8.94 (ax6) % 57.69/8.95 $i(e23) & $i(e22) & $i(e21) & $i(e20) & ? [v0: $i] : ? [v1: $i] : ? [v2: % 57.69/8.95 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : % 57.69/8.95 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? % 57.69/8.95 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ( ~ (v15 = v14) & ~ (v15 = v13) & % 57.69/8.95 ~ (v15 = v12) & ~ (v15 = v11) & ~ (v15 = v7) & ~ (v15 = v3) & ~ (v14 = % 57.69/8.95 v13) & ~ (v14 = v12) & ~ (v14 = v10) & ~ (v14 = v6) & ~ (v14 = v2) & % 57.69/8.95 ~ (v13 = v12) & ~ (v13 = v9) & ~ (v13 = v5) & ~ (v13 = v1) & ~ (v12 = % 57.69/8.95 v8) & ~ (v12 = v4) & ~ (v12 = v0) & ~ (v11 = v10) & ~ (v11 = v9) & ~ % 57.69/8.95 (v11 = v8) & ~ (v11 = v7) & ~ (v11 = v3) & ~ (v10 = v9) & ~ (v10 = v8) & % 57.69/8.95 ~ (v10 = v6) & ~ (v10 = v2) & ~ (v9 = v8) & ~ (v9 = v5) & ~ (v9 = v1) & % 57.69/8.95 ~ (v8 = v4) & ~ (v8 = v0) & ~ (v7 = v6) & ~ (v7 = v5) & ~ (v7 = v4) & % 57.69/8.95 ~ (v7 = v3) & ~ (v6 = v5) & ~ (v6 = v4) & ~ (v6 = v2) & ~ (v5 = v4) & ~ % 57.69/8.95 (v5 = v1) & ~ (v4 = v0) & ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~ % 57.69/8.95 (v2 = v1) & ~ (v2 = v0) & ~ (v1 = v0) & op2(e23, e23) = v15 & op2(e23, % 57.69/8.95 e22) = v11 & op2(e23, e21) = v7 & op2(e23, e20) = v3 & op2(e22, e23) = v14 % 57.69/8.95 & op2(e22, e22) = v10 & op2(e22, e21) = v6 & op2(e22, e20) = v2 & op2(e21, % 57.69/8.95 e23) = v13 & op2(e21, e22) = v9 & op2(e21, e21) = v5 & op2(e21, e20) = v1 % 57.69/8.95 & op2(e20, e23) = v12 & op2(e20, e22) = v8 & op2(e20, e21) = v4 & op2(e20, % 57.69/8.95 e20) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & % 57.69/8.95 $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & % 57.69/8.95 $i(v1) & $i(v0)) % 57.69/8.95 % 57.69/8.95 (ax7) % 57.69/8.95 ~ (e13 = e12) & ~ (e13 = e11) & ~ (e13 = e10) & ~ (e12 = e11) & ~ (e12 = % 57.69/8.95 e10) & ~ (e11 = e10) & $i(e13) & $i(e12) & $i(e11) & $i(e10) % 57.69/8.95 % 57.69/8.95 (ax8) % 57.69/8.95 ~ (e23 = e22) & ~ (e23 = e21) & ~ (e23 = e20) & ~ (e22 = e21) & ~ (e22 = % 57.69/8.95 e20) & ~ (e21 = e20) & $i(e23) & $i(e22) & $i(e21) & $i(e20) % 57.69/8.95 % 57.69/8.95 (co1) % 58.05/8.97 $i(e23) & $i(e22) & $i(e21) & $i(e20) & $i(e13) & $i(e12) & $i(e11) & $i(e10) % 58.05/8.97 & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? % 58.05/8.97 [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: % 58.05/8.97 $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] : ? [v15: % 58.05/8.97 $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ? [v19: $i] : ? [v20: % 58.05/8.97 $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i] : ? [v24: $i] : ? [v25: % 58.05/8.97 $i] : ? [v26: $i] : ? [v27: $i] : ? [v28: $i] : ? [v29: $i] : ? [v30: % 58.05/8.97 $i] : ? [v31: $i] : ? [v32: $i] : ? [v33: $i] : ? [v34: $i] : ? [v35: % 58.05/8.97 $i] : ? [v36: $i] : ? [v37: $i] : ? [v38: $i] : ? [v39: $i] : ? [v40: % 58.05/8.97 $i] : ? [v41: $i] : ? [v42: $i] : ? [v43: $i] : ? [v44: $i] : ? [v45: % 58.05/8.97 $i] : ? [v46: $i] : ? [v47: $i] : ? [v48: $i] : ? [v49: $i] : ? [v50: % 58.05/8.97 $i] : ? [v51: $i] : ? [v52: $i] : ? [v53: $i] : ? [v54: $i] : ? [v55: % 58.05/8.97 $i] : ? [v56: $i] : ? [v57: $i] : ? [v58: $i] : ? [v59: $i] : ? [v60: % 58.05/8.97 $i] : ? [v61: $i] : ? [v62: $i] : ? [v63: $i] : ? [v64: $i] : ? [v65: % 58.05/8.97 $i] : ? [v66: $i] : ? [v67: $i] : ? [v68: $i] : ? [v69: $i] : ? [v70: % 58.05/8.97 $i] : ? [v71: $i] : ? [v72: $i] : ? [v73: $i] : ? [v74: $i] : ? [v75: % 58.05/8.97 $i] : ? [v76: $i] : ? [v77: $i] : ? [v78: $i] : ? [v79: $i] : ? [v80: % 58.05/8.97 $i] : ? [v81: $i] : ? [v82: $i] : ? [v83: $i] : ? [v84: $i] : ? [v85: % 58.05/8.97 $i] : ? [v86: $i] : ? [v87: $i] : ? [v88: $i] : ? [v89: $i] : ? [v90: % 58.05/8.97 $i] : ? [v91: $i] : ? [v92: $i] : ? [v93: $i] : ? [v94: $i] : ? [v95: % 58.05/8.97 $i] : ? [v96: $i] : ? [v97: $i] : ? [v98: $i] : ? [v99: $i] : ? [v100: % 58.05/8.97 $i] : ? [v101: $i] : ? [v102: $i] : ? [v103: $i] : ? [v104: $i] : ? % 58.05/8.97 [v105: $i] : ? [v106: $i] : ? [v107: $i] : ? [v108: $i] : ? [v109: $i] : % 58.05/8.97 ? [v110: $i] : ? [v111: $i] : ? [v112: $i] : ? [v113: $i] : ? [v114: $i] : % 58.05/8.97 ? [v115: $i] : ? [v116: $i] : ? [v117: $i] : ? [v118: $i] : ? [v119: $i] % 58.05/8.97 : ? [v120: $i] : ? [v121: $i] : ? [v122: $i] : ? [v123: $i] : ? [v124: % 58.05/8.97 $i] : ? [v125: $i] : ? [v126: $i] : ? [v127: $i] : ? [v128: $i] : ? % 58.05/8.97 [v129: $i] : ? [v130: $i] : ? [v131: $i] : ? [v132: $i] : ? [v133: $i] : % 58.05/8.97 ? [v134: $i] : ? [v135: $i] : ? [v136: $i] : ? [v137: $i] : ? [v138: $i] : % 58.05/8.97 ? [v139: $i] : ? [v140: $i] : ? [v141: $i] : ? [v142: $i] : ? [v143: $i] % 58.05/8.97 : ? [v144: $i] : ? [v145: $i] : ? [v146: $i] : ? [v147: $i] : ? [v148: % 58.05/8.97 $i] : ? [v149: $i] : ? [v150: $i] : ? [v151: $i] : ? [v152: $i] : ? % 58.05/8.97 [v153: $i] : ? [v154: $i] : ? [v155: $i] : ? [v156: $i] : ? [v157: $i] : % 58.05/8.97 ? [v158: $i] : ? [v159: $i] : (h4(v49) = v158 & h4(v46) = v156 & h4(v43) = % 58.05/8.97 v154 & h4(v40) = v152 & h4(v37) = v150 & h4(v34) = v148 & h4(v31) = v146 & % 58.05/8.97 h4(v28) = v144 & h4(v25) = v142 & h4(v22) = v140 & h4(v19) = v138 & h4(v16) % 58.05/8.97 = v136 & h4(v12) = v133 & h4(v8) = v130 & h4(v4) = v127 & h4(v0) = v124 & % 58.05/8.97 h4(e13) = v134 & h4(e12) = v131 & h4(e11) = v128 & h4(e10) = v125 & h3(v49) % 58.05/8.97 = v122 & h3(v46) = v120 & h3(v43) = v118 & h3(v40) = v116 & h3(v37) = v114 & % 58.05/8.97 h3(v34) = v112 & h3(v31) = v110 & h3(v28) = v108 & h3(v25) = v106 & h3(v22) % 58.05/8.97 = v104 & h3(v19) = v102 & h3(v16) = v100 & h3(v12) = v97 & h3(v8) = v94 & % 58.05/8.97 h3(v4) = v91 & h3(v0) = v88 & h3(e13) = v98 & h3(e12) = v95 & h3(e11) = v92 % 58.05/8.97 & h3(e10) = v89 & h2(v49) = v86 & h2(v46) = v84 & h2(v43) = v82 & h2(v40) = % 58.05/8.97 v80 & h2(v37) = v78 & h2(v34) = v76 & h2(v31) = v74 & h2(v28) = v72 & % 58.05/8.97 h2(v25) = v70 & h2(v22) = v68 & h2(v19) = v66 & h2(v16) = v64 & h2(v12) = % 58.05/8.97 v61 & h2(v8) = v58 & h2(v4) = v55 & h2(v0) = v52 & h2(e13) = v62 & h2(e12) = % 58.05/8.97 v59 & h2(e11) = v56 & h2(e10) = v53 & h1(v49) = v50 & h1(v46) = v47 & % 58.05/8.97 h1(v43) = v44 & h1(v40) = v41 & h1(v37) = v38 & h1(v34) = v35 & h1(v31) = % 58.05/8.97 v32 & h1(v28) = v29 & h1(v25) = v26 & h1(v22) = v23 & h1(v19) = v20 & % 58.05/8.97 h1(v16) = v17 & h1(v12) = v13 & h1(v8) = v9 & h1(v4) = v5 & h1(v0) = v1 & % 58.05/8.97 h1(e13) = v14 & h1(e12) = v10 & h1(e11) = v6 & h1(e10) = v2 & op2(v134, % 58.05/8.97 v134) = v159 & op2(v134, v131) = v157 & op2(v134, v128) = v155 & op2(v134, % 58.05/8.97 v125) = v153 & op2(v131, v134) = v151 & op2(v131, v131) = v149 & op2(v131, % 58.05/8.97 v128) = v147 & op2(v131, v125) = v145 & op2(v128, v134) = v143 & op2(v128, % 58.14/8.97 v131) = v141 & op2(v128, v128) = v139 & op2(v128, v125) = v137 & op2(v125, % 58.14/8.97 v134) = v135 & op2(v125, v131) = v132 & op2(v125, v128) = v129 & op2(v125, % 58.14/8.97 v125) = v126 & op2(v98, v98) = v123 & op2(v98, v95) = v121 & op2(v98, v92) % 58.14/8.97 = v119 & op2(v98, v89) = v117 & op2(v95, v98) = v115 & op2(v95, v95) = v113 % 58.14/8.97 & op2(v95, v92) = v111 & op2(v95, v89) = v109 & op2(v92, v98) = v107 & % 58.14/8.97 op2(v92, v95) = v105 & op2(v92, v92) = v103 & op2(v92, v89) = v101 & % 58.14/8.97 op2(v89, v98) = v99 & op2(v89, v95) = v96 & op2(v89, v92) = v93 & op2(v89, % 58.14/8.97 v89) = v90 & op2(v62, v62) = v87 & op2(v62, v59) = v85 & op2(v62, v56) = % 58.14/8.97 v83 & op2(v62, v53) = v81 & op2(v59, v62) = v79 & op2(v59, v59) = v77 & % 58.14/8.97 op2(v59, v56) = v75 & op2(v59, v53) = v73 & op2(v56, v62) = v71 & op2(v56, % 58.14/8.97 v59) = v69 & op2(v56, v56) = v67 & op2(v56, v53) = v65 & op2(v53, v62) = % 58.14/8.97 v63 & op2(v53, v59) = v60 & op2(v53, v56) = v57 & op2(v53, v53) = v54 & % 58.14/8.97 op2(v14, v14) = v51 & op2(v14, v10) = v48 & op2(v14, v6) = v45 & op2(v14, % 58.14/8.97 v2) = v42 & op2(v10, v14) = v39 & op2(v10, v10) = v36 & op2(v10, v6) = v33 % 58.14/8.97 & op2(v10, v2) = v30 & op2(v6, v14) = v27 & op2(v6, v10) = v24 & op2(v6, v6) % 58.14/8.97 = v21 & op2(v6, v2) = v18 & op2(v2, v14) = v15 & op2(v2, v10) = v11 & % 58.14/8.97 op2(v2, v6) = v7 & op2(v2, v2) = v3 & op1(e13, e13) = v49 & op1(e13, e12) = % 58.14/8.97 v46 & op1(e13, e11) = v43 & op1(e13, e10) = v40 & op1(e12, e13) = v37 & % 58.14/8.97 op1(e12, e12) = v34 & op1(e12, e11) = v31 & op1(e12, e10) = v28 & op1(e11, % 58.14/8.97 e13) = v25 & op1(e11, e12) = v22 & op1(e11, e11) = v19 & op1(e11, e10) = % 58.14/8.97 v16 & op1(e10, e13) = v12 & op1(e10, e12) = v8 & op1(e10, e11) = v4 & % 58.14/8.97 op1(e10, e10) = v0 & $i(v159) & $i(v158) & $i(v157) & $i(v156) & $i(v155) & % 58.14/8.97 $i(v154) & $i(v153) & $i(v152) & $i(v151) & $i(v150) & $i(v149) & $i(v148) & % 58.14/8.97 $i(v147) & $i(v146) & $i(v145) & $i(v144) & $i(v143) & $i(v142) & $i(v141) & % 58.14/8.97 $i(v140) & $i(v139) & $i(v138) & $i(v137) & $i(v136) & $i(v135) & $i(v134) & % 58.14/8.97 $i(v133) & $i(v132) & $i(v131) & $i(v130) & $i(v129) & $i(v128) & $i(v127) & % 58.14/8.97 $i(v126) & $i(v125) & $i(v124) & $i(v123) & $i(v122) & $i(v121) & $i(v120) & % 58.14/8.97 $i(v119) & $i(v118) & $i(v117) & $i(v116) & $i(v115) & $i(v114) & $i(v113) & % 58.14/8.97 $i(v112) & $i(v111) & $i(v110) & $i(v109) & $i(v108) & $i(v107) & $i(v106) & % 58.14/8.97 $i(v105) & $i(v104) & $i(v103) & $i(v102) & $i(v101) & $i(v100) & $i(v99) & % 58.14/8.97 $i(v98) & $i(v97) & $i(v96) & $i(v95) & $i(v94) & $i(v93) & $i(v92) & % 58.14/8.97 $i(v91) & $i(v90) & $i(v89) & $i(v88) & $i(v87) & $i(v86) & $i(v85) & % 58.14/8.97 $i(v84) & $i(v83) & $i(v82) & $i(v81) & $i(v80) & $i(v79) & $i(v78) & % 58.14/8.97 $i(v77) & $i(v76) & $i(v75) & $i(v74) & $i(v73) & $i(v72) & $i(v71) & % 58.14/8.97 $i(v70) & $i(v69) & $i(v68) & $i(v67) & $i(v66) & $i(v65) & $i(v64) & % 58.14/8.97 $i(v63) & $i(v62) & $i(v61) & $i(v60) & $i(v59) & $i(v58) & $i(v57) & % 58.14/8.97 $i(v56) & $i(v55) & $i(v54) & $i(v53) & $i(v52) & $i(v51) & $i(v50) & % 58.14/8.97 $i(v49) & $i(v48) & $i(v47) & $i(v46) & $i(v45) & $i(v44) & $i(v43) & % 58.14/8.97 $i(v42) & $i(v41) & $i(v40) & $i(v39) & $i(v38) & $i(v37) & $i(v36) & % 58.14/8.97 $i(v35) & $i(v34) & $i(v33) & $i(v32) & $i(v31) & $i(v30) & $i(v29) & % 58.14/8.97 $i(v28) & $i(v27) & $i(v26) & $i(v25) & $i(v24) & $i(v23) & $i(v22) & % 58.14/8.97 $i(v21) & $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & % 58.14/8.97 $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & % 58.14/8.97 $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ( ~ (v159 = % 58.14/8.97 v158) | ~ (v157 = v156) | ~ (v155 = v154) | ~ (v153 = v152) | ~ % 58.14/8.97 (v151 = v150) | ~ (v149 = v148) | ~ (v147 = v146) | ~ (v145 = v144) | % 58.14/8.97 ~ (v143 = v142) | ~ (v141 = v140) | ~ (v139 = v138) | ~ (v137 = v136) | % 58.14/8.97 ~ (v135 = v133) | ~ (v132 = v130) | ~ (v129 = v127) | ~ (v126 = v124) % 58.14/8.97 | ( ~ (v134 = e23) & ~ (v131 = e23) & ~ (v128 = e23) & ~ (v125 = e23)) % 58.14/8.97 | ( ~ (v134 = e22) & ~ (v131 = e22) & ~ (v128 = e22) & ~ (v125 = e22)) % 58.14/8.97 | ( ~ (v134 = e21) & ~ (v131 = e21) & ~ (v128 = e21) & ~ (v125 = e21)) % 58.14/8.97 | ( ~ (v134 = e20) & ~ (v131 = e20) & ~ (v128 = e20) & ~ (v125 = e20))) % 58.14/8.97 & ( ~ (v123 = v122) | ~ (v121 = v120) | ~ (v119 = v118) | ~ (v117 = v116) % 58.14/8.97 | ~ (v115 = v114) | ~ (v113 = v112) | ~ (v111 = v110) | ~ (v109 = % 58.14/8.97 v108) | ~ (v107 = v106) | ~ (v105 = v104) | ~ (v103 = v102) | ~ % 58.14/8.97 (v101 = v100) | ~ (v99 = v97) | ~ (v96 = v94) | ~ (v93 = v91) | ~ (v90 % 58.14/8.97 = v88) | ( ~ (v98 = e23) & ~ (v95 = e23) & ~ (v92 = e23) & ~ (v89 = % 58.14/8.97 e23)) | ( ~ (v98 = e22) & ~ (v95 = e22) & ~ (v92 = e22) & ~ (v89 = % 58.14/8.97 e22)) | ( ~ (v98 = e21) & ~ (v95 = e21) & ~ (v92 = e21) & ~ (v89 = % 58.14/8.97 e21)) | ( ~ (v98 = e20) & ~ (v95 = e20) & ~ (v92 = e20) & ~ (v89 = % 58.14/8.97 e20))) & ( ~ (v87 = v86) | ~ (v85 = v84) | ~ (v83 = v82) | ~ (v81 = % 58.14/8.97 v80) | ~ (v79 = v78) | ~ (v77 = v76) | ~ (v75 = v74) | ~ (v73 = v72) % 58.14/8.97 | ~ (v71 = v70) | ~ (v69 = v68) | ~ (v67 = v66) | ~ (v65 = v64) | ~ % 58.14/8.97 (v63 = v61) | ~ (v60 = v58) | ~ (v57 = v55) | ~ (v54 = v52) | ( ~ (v62 % 58.14/8.97 = e23) & ~ (v59 = e23) & ~ (v56 = e23) & ~ (v53 = e23)) | ( ~ (v62 % 58.14/8.97 = e22) & ~ (v59 = e22) & ~ (v56 = e22) & ~ (v53 = e22)) | ( ~ (v62 % 58.14/8.97 = e21) & ~ (v59 = e21) & ~ (v56 = e21) & ~ (v53 = e21)) | ( ~ (v62 % 58.14/8.97 = e20) & ~ (v59 = e20) & ~ (v56 = e20) & ~ (v53 = e20))) & ( ~ (v51 % 58.14/8.97 = v50) | ~ (v48 = v47) | ~ (v45 = v44) | ~ (v42 = v41) | ~ (v39 = % 58.14/8.97 v38) | ~ (v36 = v35) | ~ (v33 = v32) | ~ (v30 = v29) | ~ (v27 = v26) % 58.14/8.97 | ~ (v24 = v23) | ~ (v21 = v20) | ~ (v18 = v17) | ~ (v15 = v13) | ~ % 58.14/8.97 (v11 = v9) | ~ (v7 = v5) | ~ (v3 = v1) | ( ~ (v14 = e23) & ~ (v10 = % 58.14/8.97 e23) & ~ (v6 = e23) & ~ (v2 = e23)) | ( ~ (v14 = e22) & ~ (v10 = % 58.14/8.97 e22) & ~ (v6 = e22) & ~ (v2 = e22)) | ( ~ (v14 = e21) & ~ (v10 = % 58.14/8.97 e21) & ~ (v6 = e21) & ~ (v2 = e21)) | ( ~ (v14 = e20) & ~ (v10 = % 58.14/8.97 e20) & ~ (v6 = e20) & ~ (v2 = e20)))) % 58.14/8.97 % 58.14/8.98 (function-axioms) % 58.14/8.98 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (op2(v3, % 58.14/8.98 v2) = v1) | ~ (op2(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: % 58.14/8.98 $i] : ! [v3: $i] : (v1 = v0 | ~ (op1(v3, v2) = v1) | ~ (op1(v3, v2) = % 58.14/8.98 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h4(v2) = % 58.14/8.98 v1) | ~ (h4(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = % 58.14/8.98 v0 | ~ (h3(v2) = v1) | ~ (h3(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! % 58.14/8.98 [v2: $i] : (v1 = v0 | ~ (h2(v2) = v1) | ~ (h2(v2) = v0)) & ! [v0: $i] : ! % 58.14/8.98 [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h1(v2) = v1) | ~ (h1(v2) = v0)) % 58.14/8.98 % 58.14/8.98 Further assumptions not needed in the proof: % 58.14/8.98 -------------------------------------------- % 58.14/8.98 ax9 % 58.14/8.98 % 58.14/8.98 Those formulas are unsatisfiable: % 58.14/8.98 --------------------------------- % 58.14/8.98 % 58.14/8.98 Begin of proof % 58.14/8.98 | % 58.14/8.98 | ALPHA: (ax1) implies: % 58.14/8.99 | (1) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 58.14/8.99 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? % 58.14/8.99 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] : % 58.14/8.99 | ? [v15: $i] : (op1(e13, e13) = v15 & op1(e13, e12) = v14 & op1(e13, % 58.14/8.99 | e11) = v13 & op1(e13, e10) = v12 & op1(e12, e13) = v11 & op1(e12, % 58.14/8.99 | e12) = v10 & op1(e12, e11) = v9 & op1(e12, e10) = v8 & op1(e11, % 58.14/8.99 | e13) = v7 & op1(e11, e12) = v6 & op1(e11, e11) = v5 & op1(e11, e10) % 58.14/8.99 | = v4 & op1(e10, e13) = v3 & op1(e10, e12) = v2 & op1(e10, e11) = v1 & % 58.14/8.99 | op1(e10, e10) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) % 58.14/8.99 | & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & % 58.14/8.99 | $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v15 = e13 | v15 = e12 | v15 = % 58.14/8.99 | e11 | v15 = e10) & (v14 = e13 | v14 = e12 | v14 = e11 | v14 = e10) % 58.14/8.99 | & (v13 = e13 | v13 = e12 | v13 = e11 | v13 = e10) & (v12 = e13 | v12 % 58.14/8.99 | = e12 | v12 = e11 | v12 = e10) & (v11 = e13 | v11 = e12 | v11 = e11 % 58.14/8.99 | | v11 = e10) & (v10 = e13 | v10 = e12 | v10 = e11 | v10 = e10) & % 58.14/8.99 | (v9 = e13 | v9 = e12 | v9 = e11 | v9 = e10) & (v8 = e13 | v8 = e12 | % 58.14/8.99 | v8 = e11 | v8 = e10) & (v7 = e13 | v7 = e12 | v7 = e11 | v7 = e10) % 58.14/8.99 | & (v6 = e13 | v6 = e12 | v6 = e11 | v6 = e10) & (v5 = e13 | v5 = e12 % 58.14/8.99 | | v5 = e11 | v5 = e10) & (v4 = e13 | v4 = e12 | v4 = e11 | v4 = % 58.14/8.99 | e10) & (v3 = e13 | v3 = e12 | v3 = e11 | v3 = e10) & (v2 = e13 | v2 % 58.14/8.99 | = e12 | v2 = e11 | v2 = e10) & (v1 = e13 | v1 = e12 | v1 = e11 | v1 % 58.14/8.99 | = e10) & (v0 = e13 | v0 = e12 | v0 = e11 | v0 = e10)) % 58.14/8.99 | % 58.14/8.99 | ALPHA: (ax2) implies: % 58.14/8.99 | (2) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 58.14/8.99 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? % 58.14/8.99 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] : % 58.14/8.99 | ? [v15: $i] : (op1(e13, e13) = v15 & op1(e13, e12) = v14 & op1(e13, % 58.14/8.99 | e11) = v11 & op1(e13, e10) = v6 & op1(e12, e13) = v13 & op1(e12, % 58.14/8.99 | e12) = v12 & op1(e12, e11) = v10 & op1(e12, e10) = v5 & op1(e11, % 58.14/8.99 | e13) = v9 & op1(e11, e12) = v8 & op1(e11, e11) = v7 & op1(e11, e10) % 58.14/8.99 | = v4 & op1(e10, e13) = v3 & op1(e10, e12) = v2 & op1(e10, e11) = v1 & % 58.14/8.99 | op1(e10, e10) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) % 58.14/8.99 | & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & % 58.14/8.99 | $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v15 = e13 | v14 = e13 | v11 = % 58.14/8.99 | e13 | v6 = e13) & (v15 = e13 | v13 = e13 | v9 = e13 | v3 = e13) & % 58.14/8.99 | (v15 = e12 | v14 = e12 | v11 = e12 | v6 = e12) & (v15 = e12 | v13 = % 58.14/8.99 | e12 | v9 = e12 | v3 = e12) & (v15 = e11 | v14 = e11 | v11 = e11 | % 58.14/8.99 | v6 = e11) & (v15 = e11 | v13 = e11 | v9 = e11 | v3 = e11) & (v15 = % 58.14/8.99 | e10 | v14 = e10 | v11 = e10 | v6 = e10) & (v15 = e10 | v13 = e10 | % 58.14/8.99 | v9 = e10 | v3 = e10) & (v14 = e13 | v12 = e13 | v8 = e13 | v2 = % 58.14/8.99 | e13) & (v14 = e12 | v12 = e12 | v8 = e12 | v2 = e12) & (v14 = e11 | % 58.14/8.99 | v12 = e11 | v8 = e11 | v2 = e11) & (v14 = e10 | v12 = e10 | v8 = % 58.14/8.99 | e10 | v2 = e10) & (v13 = e13 | v12 = e13 | v10 = e13 | v5 = e13) & % 58.14/9.00 | (v13 = e12 | v12 = e12 | v10 = e12 | v5 = e12) & (v13 = e11 | v12 = % 58.14/9.00 | e11 | v10 = e11 | v5 = e11) & (v13 = e10 | v12 = e10 | v10 = e10 | % 58.14/9.00 | v5 = e10) & (v11 = e13 | v10 = e13 | v7 = e13 | v1 = e13) & (v11 = % 58.14/9.00 | e12 | v10 = e12 | v7 = e12 | v1 = e12) & (v11 = e11 | v10 = e11 | % 58.14/9.00 | v7 = e11 | v1 = e11) & (v11 = e10 | v10 = e10 | v7 = e10 | v1 = % 58.14/9.00 | e10) & (v9 = e13 | v8 = e13 | v7 = e13 | v4 = e13) & (v9 = e12 | v8 % 58.14/9.00 | = e12 | v7 = e12 | v4 = e12) & (v9 = e11 | v8 = e11 | v7 = e11 | v4 % 58.14/9.00 | = e11) & (v9 = e10 | v8 = e10 | v7 = e10 | v4 = e10) & (v6 = e13 | % 58.14/9.00 | v5 = e13 | v4 = e13 | v0 = e13) & (v6 = e12 | v5 = e12 | v4 = e12 | % 58.14/9.00 | v0 = e12) & (v6 = e11 | v5 = e11 | v4 = e11 | v0 = e11) & (v3 = e13 % 58.14/9.00 | | v2 = e13 | v1 = e13 | v0 = e13) & (v3 = e12 | v2 = e12 | v1 = e12 % 58.14/9.00 | | v0 = e12) & (v3 = e11 | v2 = e11 | v1 = e11 | v0 = e11) & (v0 = % 58.14/9.00 | e10 | ((v6 = e10 | v5 = e10 | v4 = e10) & (v3 = e10 | v2 = e10 | v1 % 58.14/9.00 | = e10)))) % 58.14/9.00 | % 58.14/9.00 | ALPHA: (ax3) implies: % 58.14/9.00 | (3) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 58.14/9.00 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? % 58.14/9.00 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] : % 58.14/9.00 | ? [v15: $i] : (op2(e23, e23) = v15 & op2(e23, e22) = v14 & op2(e23, % 58.14/9.00 | e21) = v13 & op2(e23, e20) = v12 & op2(e22, e23) = v11 & op2(e22, % 58.14/9.00 | e22) = v10 & op2(e22, e21) = v9 & op2(e22, e20) = v8 & op2(e21, % 58.14/9.00 | e23) = v7 & op2(e21, e22) = v6 & op2(e21, e21) = v5 & op2(e21, e20) % 58.14/9.00 | = v4 & op2(e20, e23) = v3 & op2(e20, e22) = v2 & op2(e20, e21) = v1 & % 58.14/9.00 | op2(e20, e20) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) % 58.14/9.00 | & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & % 58.14/9.00 | $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v15 = e23 | v15 = e22 | v15 = % 58.14/9.00 | e21 | v15 = e20) & (v14 = e23 | v14 = e22 | v14 = e21 | v14 = e20) % 58.14/9.00 | & (v13 = e23 | v13 = e22 | v13 = e21 | v13 = e20) & (v12 = e23 | v12 % 58.14/9.00 | = e22 | v12 = e21 | v12 = e20) & (v11 = e23 | v11 = e22 | v11 = e21 % 58.14/9.00 | | v11 = e20) & (v10 = e23 | v10 = e22 | v10 = e21 | v10 = e20) & % 58.14/9.00 | (v9 = e23 | v9 = e22 | v9 = e21 | v9 = e20) & (v8 = e23 | v8 = e22 | % 58.14/9.00 | v8 = e21 | v8 = e20) & (v7 = e23 | v7 = e22 | v7 = e21 | v7 = e20) % 58.14/9.00 | & (v6 = e23 | v6 = e22 | v6 = e21 | v6 = e20) & (v5 = e23 | v5 = e22 % 58.14/9.00 | | v5 = e21 | v5 = e20) & (v4 = e23 | v4 = e22 | v4 = e21 | v4 = % 58.14/9.00 | e20) & (v3 = e23 | v3 = e22 | v3 = e21 | v3 = e20) & (v2 = e23 | v2 % 58.14/9.00 | = e22 | v2 = e21 | v2 = e20) & (v1 = e23 | v1 = e22 | v1 = e21 | v1 % 58.14/9.00 | = e20) & (v0 = e23 | v0 = e22 | v0 = e21 | v0 = e20)) % 58.14/9.00 | % 58.14/9.00 | ALPHA: (ax4) implies: % 58.14/9.01 | (4) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 58.14/9.01 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? % 58.14/9.01 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] : % 58.14/9.01 | ? [v15: $i] : (op2(e23, e23) = v15 & op2(e23, e22) = v14 & op2(e23, % 58.14/9.01 | e21) = v11 & op2(e23, e20) = v6 & op2(e22, e23) = v13 & op2(e22, % 58.14/9.01 | e22) = v12 & op2(e22, e21) = v10 & op2(e22, e20) = v5 & op2(e21, % 58.14/9.01 | e23) = v9 & op2(e21, e22) = v8 & op2(e21, e21) = v7 & op2(e21, e20) % 58.14/9.01 | = v4 & op2(e20, e23) = v3 & op2(e20, e22) = v2 & op2(e20, e21) = v1 & % 58.14/9.01 | op2(e20, e20) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) % 58.14/9.01 | & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & % 58.14/9.01 | $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v15 = e23 | v14 = e23 | v11 = % 58.14/9.01 | e23 | v6 = e23) & (v15 = e23 | v13 = e23 | v9 = e23 | v3 = e23) & % 58.14/9.01 | (v15 = e22 | v14 = e22 | v11 = e22 | v6 = e22) & (v15 = e22 | v13 = % 58.14/9.01 | e22 | v9 = e22 | v3 = e22) & (v15 = e21 | v14 = e21 | v11 = e21 | % 58.14/9.01 | v6 = e21) & (v15 = e21 | v13 = e21 | v9 = e21 | v3 = e21) & (v15 = % 58.14/9.01 | e20 | v14 = e20 | v11 = e20 | v6 = e20) & (v15 = e20 | v13 = e20 | % 58.14/9.01 | v9 = e20 | v3 = e20) & (v14 = e23 | v12 = e23 | v8 = e23 | v2 = % 58.14/9.01 | e23) & (v14 = e22 | v12 = e22 | v8 = e22 | v2 = e22) & (v14 = e21 | % 58.14/9.01 | v12 = e21 | v8 = e21 | v2 = e21) & (v14 = e20 | v12 = e20 | v8 = % 58.14/9.01 | e20 | v2 = e20) & (v13 = e23 | v12 = e23 | v10 = e23 | v5 = e23) & % 58.14/9.01 | (v13 = e22 | v12 = e22 | v10 = e22 | v5 = e22) & (v13 = e21 | v12 = % 58.14/9.01 | e21 | v10 = e21 | v5 = e21) & (v13 = e20 | v12 = e20 | v10 = e20 | % 58.14/9.01 | v5 = e20) & (v11 = e23 | v10 = e23 | v7 = e23 | v1 = e23) & (v11 = % 58.14/9.01 | e22 | v10 = e22 | v7 = e22 | v1 = e22) & (v11 = e21 | v10 = e21 | % 58.14/9.01 | v7 = e21 | v1 = e21) & (v11 = e20 | v10 = e20 | v7 = e20 | v1 = % 58.14/9.01 | e20) & (v9 = e23 | v8 = e23 | v7 = e23 | v4 = e23) & (v9 = e22 | v8 % 58.14/9.01 | = e22 | v7 = e22 | v4 = e22) & (v9 = e21 | v8 = e21 | v7 = e21 | v4 % 58.14/9.01 | = e21) & (v9 = e20 | v8 = e20 | v7 = e20 | v4 = e20) & (v6 = e23 | % 58.14/9.01 | v5 = e23 | v4 = e23 | v0 = e23) & (v6 = e22 | v5 = e22 | v4 = e22 | % 58.14/9.01 | v0 = e22) & (v6 = e21 | v5 = e21 | v4 = e21 | v0 = e21) & (v3 = e23 % 58.14/9.01 | | v2 = e23 | v1 = e23 | v0 = e23) & (v3 = e22 | v2 = e22 | v1 = e22 % 58.14/9.01 | | v0 = e22) & (v3 = e21 | v2 = e21 | v1 = e21 | v0 = e21) & (v0 = % 58.14/9.01 | e20 | ((v6 = e20 | v5 = e20 | v4 = e20) & (v3 = e20 | v2 = e20 | v1 % 58.14/9.01 | = e20)))) % 58.14/9.01 | % 58.14/9.01 | ALPHA: (ax5) implies: % 58.14/9.01 | (5) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 58.14/9.01 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? % 58.14/9.01 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] : % 58.14/9.01 | ? [v15: $i] : ( ~ (v15 = v14) & ~ (v15 = v13) & ~ (v15 = v12) & ~ % 58.14/9.01 | (v15 = v11) & ~ (v15 = v7) & ~ (v15 = v3) & ~ (v14 = v13) & ~ % 58.14/9.01 | (v14 = v12) & ~ (v14 = v10) & ~ (v14 = v6) & ~ (v14 = v2) & ~ % 58.14/9.01 | (v13 = v12) & ~ (v13 = v9) & ~ (v13 = v5) & ~ (v13 = v1) & ~ (v12 % 58.14/9.01 | = v8) & ~ (v12 = v4) & ~ (v12 = v0) & ~ (v11 = v10) & ~ (v11 = % 58.14/9.01 | v9) & ~ (v11 = v8) & ~ (v11 = v7) & ~ (v11 = v3) & ~ (v10 = v9) % 58.14/9.01 | & ~ (v10 = v8) & ~ (v10 = v6) & ~ (v10 = v2) & ~ (v9 = v8) & ~ % 58.14/9.01 | (v9 = v5) & ~ (v9 = v1) & ~ (v8 = v4) & ~ (v8 = v0) & ~ (v7 = v6) % 58.14/9.01 | & ~ (v7 = v5) & ~ (v7 = v4) & ~ (v7 = v3) & ~ (v6 = v5) & ~ (v6 % 58.14/9.01 | = v4) & ~ (v6 = v2) & ~ (v5 = v4) & ~ (v5 = v1) & ~ (v4 = v0) & % 58.14/9.01 | ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~ (v2 = v1) & ~ (v2 = % 58.14/9.01 | v0) & ~ (v1 = v0) & op1(e13, e13) = v15 & op1(e13, e12) = v11 & % 58.14/9.01 | op1(e13, e11) = v7 & op1(e13, e10) = v3 & op1(e12, e13) = v14 & % 58.14/9.01 | op1(e12, e12) = v10 & op1(e12, e11) = v6 & op1(e12, e10) = v2 & % 58.14/9.01 | op1(e11, e13) = v13 & op1(e11, e12) = v9 & op1(e11, e11) = v5 & % 58.14/9.01 | op1(e11, e10) = v1 & op1(e10, e13) = v12 & op1(e10, e12) = v8 & % 58.14/9.01 | op1(e10, e11) = v4 & op1(e10, e10) = v0 & $i(v15) & $i(v14) & $i(v13) % 58.14/9.01 | & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & % 58.14/9.01 | $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0)) % 58.14/9.01 | % 58.14/9.01 | ALPHA: (ax6) implies: % 58.14/9.01 | (6) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 58.14/9.01 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? % 58.14/9.01 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] : % 58.14/9.01 | ? [v15: $i] : ( ~ (v15 = v14) & ~ (v15 = v13) & ~ (v15 = v12) & ~ % 58.14/9.01 | (v15 = v11) & ~ (v15 = v7) & ~ (v15 = v3) & ~ (v14 = v13) & ~ % 58.14/9.01 | (v14 = v12) & ~ (v14 = v10) & ~ (v14 = v6) & ~ (v14 = v2) & ~ % 58.14/9.01 | (v13 = v12) & ~ (v13 = v9) & ~ (v13 = v5) & ~ (v13 = v1) & ~ (v12 % 58.14/9.01 | = v8) & ~ (v12 = v4) & ~ (v12 = v0) & ~ (v11 = v10) & ~ (v11 = % 58.14/9.01 | v9) & ~ (v11 = v8) & ~ (v11 = v7) & ~ (v11 = v3) & ~ (v10 = v9) % 58.14/9.01 | & ~ (v10 = v8) & ~ (v10 = v6) & ~ (v10 = v2) & ~ (v9 = v8) & ~ % 58.14/9.01 | (v9 = v5) & ~ (v9 = v1) & ~ (v8 = v4) & ~ (v8 = v0) & ~ (v7 = v6) % 58.14/9.01 | & ~ (v7 = v5) & ~ (v7 = v4) & ~ (v7 = v3) & ~ (v6 = v5) & ~ (v6 % 58.14/9.01 | = v4) & ~ (v6 = v2) & ~ (v5 = v4) & ~ (v5 = v1) & ~ (v4 = v0) & % 58.33/9.01 | ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~ (v2 = v1) & ~ (v2 = % 58.33/9.01 | v0) & ~ (v1 = v0) & op2(e23, e23) = v15 & op2(e23, e22) = v11 & % 58.33/9.01 | op2(e23, e21) = v7 & op2(e23, e20) = v3 & op2(e22, e23) = v14 & % 58.33/9.01 | op2(e22, e22) = v10 & op2(e22, e21) = v6 & op2(e22, e20) = v2 & % 58.33/9.01 | op2(e21, e23) = v13 & op2(e21, e22) = v9 & op2(e21, e21) = v5 & % 58.33/9.01 | op2(e21, e20) = v1 & op2(e20, e23) = v12 & op2(e20, e22) = v8 & % 58.33/9.01 | op2(e20, e21) = v4 & op2(e20, e20) = v0 & $i(v15) & $i(v14) & $i(v13) % 58.33/9.01 | & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & % 58.33/9.01 | $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0)) % 58.33/9.01 | % 58.33/9.01 | ALPHA: (ax7) implies: % 58.33/9.01 | (7) ~ (e11 = e10) % 58.33/9.01 | (8) ~ (e13 = e10) % 58.33/9.01 | % 58.33/9.01 | ALPHA: (ax8) implies: % 58.33/9.01 | (9) ~ (e21 = e20) % 58.33/9.01 | (10) ~ (e22 = e20) % 58.33/9.01 | (11) ~ (e23 = e20) % 58.33/9.01 | (12) ~ (e23 = e22) % 58.33/9.01 | % 58.33/9.01 | ALPHA: (ax10) implies: % 58.33/9.02 | (13) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 58.33/9.02 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : % 58.33/9.02 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: % 58.33/9.02 | $i] : ? [v15: $i] : (op1(e13, e13) = v5 & op1(e13, e12) = v12 & % 58.33/9.02 | op1(e13, e11) = v9 & op1(e13, e10) = v6 & op1(e12, e13) = v15 & % 58.33/9.02 | op1(e12, e12) = v3 & op1(e12, e11) = v8 & op1(e12, e10) = v4 & % 58.33/9.02 | op1(e11, e13) = v14 & op1(e11, e12) = v11 & op1(e11, e11) = v1 & % 58.33/9.02 | op1(e11, e10) = v2 & op1(e10, e13) = v13 & op1(e10, e12) = v10 & % 58.33/9.02 | op1(e10, e11) = v7 & op1(e10, e10) = v0 & $i(v15) & $i(v14) & % 58.33/9.02 | $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & % 58.33/9.02 | $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ((v15 % 58.33/9.02 | = e12 & v1 = e13 & ~ (v14 = e11) & ~ (v3 = e13)) | (v15 = e12 % 58.33/9.02 | & v0 = e13 & ~ (v13 = e10) & ~ (v3 = e13)) | (v14 = e11 & v3 = % 58.33/9.02 | e13 & ~ (v15 = e12) & ~ (v1 = e13)) | (v14 = e11 & v0 = e13 & % 58.33/9.02 | ~ (v13 = e10) & ~ (v1 = e13)) | (v13 = e10 & v3 = e13 & ~ (v15 % 58.33/9.02 | = e12) & ~ (v0 = e13)) | (v13 = e10 & v1 = e13 & ~ (v14 = % 58.33/9.02 | e11) & ~ (v0 = e13)) | (v12 = e13 & v1 = e12 & ~ (v11 = e11) % 58.33/9.02 | & ~ (v5 = e12)) | (v12 = e13 & v0 = e12 & ~ (v10 = e10) & ~ % 58.33/9.02 | (v5 = e12)) | (v11 = e11 & v5 = e12 & ~ (v12 = e13) & ~ (v1 = % 58.33/9.02 | e12)) | (v11 = e11 & v0 = e12 & ~ (v10 = e10) & ~ (v1 = % 58.33/9.02 | e12)) | (v10 = e10 & v5 = e12 & ~ (v12 = e13) & ~ (v0 = % 58.33/9.02 | e12)) | (v10 = e10 & v1 = e12 & ~ (v11 = e11) & ~ (v0 = % 58.33/9.02 | e12)) | (v9 = e13 & v3 = e11 & ~ (v8 = e12) & ~ (v5 = e11)) % 58.33/9.02 | | (v9 = e13 & v0 = e11 & ~ (v7 = e10) & ~ (v5 = e11)) | (v8 = % 58.33/9.02 | e12 & v5 = e11 & ~ (v9 = e13) & ~ (v3 = e11)) | (v8 = e12 & v0 % 58.33/9.02 | = e11 & ~ (v7 = e10) & ~ (v3 = e11)) | (v7 = e10 & v5 = e11 & % 58.33/9.02 | ~ (v9 = e13) & ~ (v0 = e11)) | (v7 = e10 & v3 = e11 & ~ (v8 = % 58.33/9.02 | e12) & ~ (v0 = e11)) | (v6 = e13 & v3 = e10 & ~ (v5 = e10) & % 58.33/9.02 | ~ (v4 = e12)) | (v6 = e13 & v1 = e10 & ~ (v5 = e10) & ~ (v2 = % 58.33/9.02 | e11)) | (v5 = e10 & v4 = e12 & ~ (v6 = e13) & ~ (v3 = e10)) % 58.33/9.02 | | (v5 = e10 & v2 = e11 & ~ (v6 = e13) & ~ (v1 = e10)) | (v4 = % 58.33/9.02 | e12 & v1 = e10 & ~ (v3 = e10) & ~ (v2 = e11)) | (v3 = e10 & v2 % 58.33/9.02 | = e11 & ~ (v4 = e12) & ~ (v1 = e10))) & ((v5 = e13 & ( ~ (v3 = % 58.33/9.02 | e13) | v15 = e12) & ( ~ (v1 = e13) | v14 = e11) & ( ~ (v0 = % 58.33/9.02 | e13) | v13 = e10)) | (v3 = e12 & ( ~ (v5 = e12) | v12 = e13) % 58.33/9.02 | & ( ~ (v1 = e12) | v11 = e11) & ( ~ (v0 = e12) | v10 = e10)) | % 58.33/9.02 | (v1 = e11 & ( ~ (v5 = e11) | v9 = e13) & ( ~ (v3 = e11) | v8 = % 58.33/9.02 | e12) & ( ~ (v0 = e11) | v7 = e10)) | (v0 = e10 & ( ~ (v5 = % 58.33/9.02 | e10) | v6 = e13) & ( ~ (v3 = e10) | v4 = e12) & ( ~ (v1 = % 58.33/9.02 | e10) | v2 = e11)))) % 58.33/9.02 | % 58.33/9.02 | ALPHA: (ax11) implies: % 58.33/9.03 | (14) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 58.33/9.03 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : % 58.33/9.03 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: % 58.33/9.03 | $i] : ? [v15: $i] : (op2(e23, e23) = v5 & op2(e23, e22) = v12 & % 58.33/9.03 | op2(e23, e21) = v9 & op2(e23, e20) = v6 & op2(e22, e23) = v15 & % 58.33/9.03 | op2(e22, e22) = v3 & op2(e22, e21) = v8 & op2(e22, e20) = v4 & % 58.33/9.03 | op2(e21, e23) = v14 & op2(e21, e22) = v11 & op2(e21, e21) = v1 & % 58.33/9.03 | op2(e21, e20) = v2 & op2(e20, e23) = v13 & op2(e20, e22) = v10 & % 58.33/9.03 | op2(e20, e21) = v7 & op2(e20, e20) = v0 & $i(v15) & $i(v14) & % 58.33/9.03 | $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & % 58.33/9.03 | $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ((v15 % 58.33/9.03 | = e22 & v1 = e23 & ~ (v14 = e21) & ~ (v3 = e23)) | (v15 = e22 % 58.33/9.03 | & v0 = e23 & ~ (v13 = e20) & ~ (v3 = e23)) | (v14 = e21 & v3 = % 58.33/9.03 | e23 & ~ (v15 = e22) & ~ (v1 = e23)) | (v14 = e21 & v0 = e23 & % 58.33/9.03 | ~ (v13 = e20) & ~ (v1 = e23)) | (v13 = e20 & v3 = e23 & ~ (v15 % 58.33/9.03 | = e22) & ~ (v0 = e23)) | (v13 = e20 & v1 = e23 & ~ (v14 = % 58.33/9.03 | e21) & ~ (v0 = e23)) | (v12 = e23 & v1 = e22 & ~ (v11 = e21) % 58.33/9.03 | & ~ (v5 = e22)) | (v12 = e23 & v0 = e22 & ~ (v10 = e20) & ~ % 58.33/9.03 | (v5 = e22)) | (v11 = e21 & v5 = e22 & ~ (v12 = e23) & ~ (v1 = % 58.33/9.03 | e22)) | (v11 = e21 & v0 = e22 & ~ (v10 = e20) & ~ (v1 = % 58.33/9.03 | e22)) | (v10 = e20 & v5 = e22 & ~ (v12 = e23) & ~ (v0 = % 58.33/9.03 | e22)) | (v10 = e20 & v1 = e22 & ~ (v11 = e21) & ~ (v0 = % 58.33/9.03 | e22)) | (v9 = e23 & v3 = e21 & ~ (v8 = e22) & ~ (v5 = e21)) % 58.33/9.03 | | (v9 = e23 & v0 = e21 & ~ (v7 = e20) & ~ (v5 = e21)) | (v8 = % 58.33/9.03 | e22 & v5 = e21 & ~ (v9 = e23) & ~ (v3 = e21)) | (v8 = e22 & v0 % 58.33/9.03 | = e21 & ~ (v7 = e20) & ~ (v3 = e21)) | (v7 = e20 & v5 = e21 & % 58.33/9.03 | ~ (v9 = e23) & ~ (v0 = e21)) | (v7 = e20 & v3 = e21 & ~ (v8 = % 58.33/9.03 | e22) & ~ (v0 = e21)) | (v6 = e23 & v3 = e20 & ~ (v5 = e20) & % 58.33/9.03 | ~ (v4 = e22)) | (v6 = e23 & v1 = e20 & ~ (v5 = e20) & ~ (v2 = % 58.33/9.03 | e21)) | (v5 = e20 & v4 = e22 & ~ (v6 = e23) & ~ (v3 = e20)) % 58.33/9.03 | | (v5 = e20 & v2 = e21 & ~ (v6 = e23) & ~ (v1 = e20)) | (v4 = % 58.33/9.03 | e22 & v1 = e20 & ~ (v3 = e20) & ~ (v2 = e21)) | (v3 = e20 & v2 % 58.33/9.03 | = e21 & ~ (v4 = e22) & ~ (v1 = e20))) & ((v5 = e23 & ( ~ (v3 = % 58.33/9.03 | e23) | v15 = e22) & ( ~ (v1 = e23) | v14 = e21) & ( ~ (v0 = % 58.33/9.03 | e23) | v13 = e20)) | (v3 = e22 & ( ~ (v5 = e22) | v12 = e23) % 58.33/9.03 | & ( ~ (v1 = e22) | v11 = e21) & ( ~ (v0 = e22) | v10 = e20)) | % 58.33/9.03 | (v1 = e21 & ( ~ (v5 = e21) | v9 = e23) & ( ~ (v3 = e21) | v8 = % 58.33/9.03 | e22) & ( ~ (v0 = e21) | v7 = e20)) | (v0 = e20 & ( ~ (v5 = % 58.33/9.03 | e20) | v6 = e23) & ( ~ (v3 = e20) | v4 = e22) & ( ~ (v1 = % 58.33/9.03 | e20) | v2 = e21)))) % 58.33/9.03 | % 58.33/9.03 | ALPHA: (ax12) implies: % 58.33/9.03 | (15) op1(e10, e10) = e11 % 58.33/9.03 | (16) op1(e10, e11) = e12 % 58.33/9.03 | (17) op1(e12, e10) = e13 % 58.33/9.03 | % 58.33/9.03 | ALPHA: (ax13) implies: % 58.33/9.03 | (18) op2(e20, e20) = e21 % 58.33/9.03 | (19) op2(e20, e21) = e22 % 58.33/9.03 | (20) op2(e22, e20) = e23 % 58.33/9.03 | % 58.33/9.03 | ALPHA: (ax14) implies: % 58.33/9.03 | (21) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (h1(e13) = v2 & h1(e12) = v1 % 58.33/9.03 | & h1(e11) = v0 & h1(e10) = e20 & op2(v1, e20) = v2 & op2(e20, v0) = % 58.33/9.03 | v1 & op2(e20, e20) = v0 & $i(v2) & $i(v1) & $i(v0)) % 58.33/9.03 | % 58.33/9.03 | ALPHA: (ax15) implies: % 58.33/9.03 | (22) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (h2(e13) = v2 & h2(e12) = v1 % 58.33/9.03 | & h2(e11) = v0 & h2(e10) = e21 & op2(v1, e21) = v2 & op2(e21, v0) = % 58.33/9.03 | v1 & op2(e21, e21) = v0 & $i(v2) & $i(v1) & $i(v0)) % 58.33/9.03 | % 58.33/9.03 | ALPHA: (ax16) implies: % 58.33/9.03 | (23) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (h3(e13) = v2 & h3(e12) = v1 % 58.33/9.03 | & h3(e11) = v0 & h3(e10) = e22 & op2(v1, e22) = v2 & op2(e22, v0) = % 58.33/9.03 | v1 & op2(e22, e22) = v0 & $i(v2) & $i(v1) & $i(v0)) % 58.33/9.03 | % 58.33/9.03 | ALPHA: (ax17) implies: % 58.33/9.03 | (24) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (h4(e13) = v2 & h4(e12) = v1 % 58.33/9.03 | & h4(e11) = v0 & h4(e10) = e23 & op2(v1, e23) = v2 & op2(e23, v0) = % 58.33/9.03 | v1 & op2(e23, e23) = v0 & $i(v2) & $i(v1) & $i(v0)) % 58.33/9.03 | % 58.33/9.03 | ALPHA: (co1) implies: % 58.43/9.05 | (25) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 58.43/9.05 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : % 58.43/9.05 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: % 58.43/9.05 | $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ? % 58.43/9.05 | [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i] % 58.43/9.05 | : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ? [v28: % 58.43/9.05 | $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : ? [v32: $i] : ? % 58.43/9.05 | [v33: $i] : ? [v34: $i] : ? [v35: $i] : ? [v36: $i] : ? [v37: $i] % 58.43/9.05 | : ? [v38: $i] : ? [v39: $i] : ? [v40: $i] : ? [v41: $i] : ? [v42: % 58.43/9.05 | $i] : ? [v43: $i] : ? [v44: $i] : ? [v45: $i] : ? [v46: $i] : ? % 58.43/9.05 | [v47: $i] : ? [v48: $i] : ? [v49: $i] : ? [v50: $i] : ? [v51: $i] % 58.43/9.05 | : ? [v52: $i] : ? [v53: $i] : ? [v54: $i] : ? [v55: $i] : ? [v56: % 58.43/9.05 | $i] : ? [v57: $i] : ? [v58: $i] : ? [v59: $i] : ? [v60: $i] : ? % 58.43/9.05 | [v61: $i] : ? [v62: $i] : ? [v63: $i] : ? [v64: $i] : ? [v65: $i] % 58.43/9.05 | : ? [v66: $i] : ? [v67: $i] : ? [v68: $i] : ? [v69: $i] : ? [v70: % 58.43/9.05 | $i] : ? [v71: $i] : ? [v72: $i] : ? [v73: $i] : ? [v74: $i] : ? % 58.43/9.05 | [v75: $i] : ? [v76: $i] : ? [v77: $i] : ? [v78: $i] : ? [v79: $i] % 58.43/9.05 | : ? [v80: $i] : ? [v81: $i] : ? [v82: $i] : ? [v83: $i] : ? [v84: % 58.43/9.05 | $i] : ? [v85: $i] : ? [v86: $i] : ? [v87: $i] : ? [v88: $i] : ? % 58.43/9.05 | [v89: $i] : ? [v90: $i] : ? [v91: $i] : ? [v92: $i] : ? [v93: $i] % 58.43/9.05 | : ? [v94: $i] : ? [v95: $i] : ? [v96: $i] : ? [v97: $i] : ? [v98: % 58.43/9.05 | $i] : ? [v99: $i] : ? [v100: $i] : ? [v101: $i] : ? [v102: $i] : % 58.43/9.05 | ? [v103: $i] : ? [v104: $i] : ? [v105: $i] : ? [v106: $i] : ? % 58.43/9.05 | [v107: $i] : ? [v108: $i] : ? [v109: $i] : ? [v110: $i] : ? [v111: % 58.43/9.05 | $i] : ? [v112: $i] : ? [v113: $i] : ? [v114: $i] : ? [v115: $i] % 58.43/9.05 | : ? [v116: $i] : ? [v117: $i] : ? [v118: $i] : ? [v119: $i] : ? % 58.43/9.05 | [v120: $i] : ? [v121: $i] : ? [v122: $i] : ? [v123: $i] : ? [v124: % 58.43/9.05 | $i] : ? [v125: $i] : ? [v126: $i] : ? [v127: $i] : ? [v128: $i] % 58.43/9.05 | : ? [v129: $i] : ? [v130: $i] : ? [v131: $i] : ? [v132: $i] : ? % 58.43/9.05 | [v133: $i] : ? [v134: $i] : ? [v135: $i] : ? [v136: $i] : ? [v137: % 58.43/9.05 | $i] : ? [v138: $i] : ? [v139: $i] : ? [v140: $i] : ? [v141: $i] % 58.43/9.05 | : ? [v142: $i] : ? [v143: $i] : ? [v144: $i] : ? [v145: $i] : ? % 58.43/9.05 | [v146: $i] : ? [v147: $i] : ? [v148: $i] : ? [v149: $i] : ? [v150: % 58.43/9.05 | $i] : ? [v151: $i] : ? [v152: $i] : ? [v153: $i] : ? [v154: $i] % 58.43/9.05 | : ? [v155: $i] : ? [v156: $i] : ? [v157: $i] : ? [v158: $i] : ? % 58.43/9.05 | [v159: $i] : (h4(v49) = v158 & h4(v46) = v156 & h4(v43) = v154 & % 58.43/9.05 | h4(v40) = v152 & h4(v37) = v150 & h4(v34) = v148 & h4(v31) = v146 & % 58.43/9.05 | h4(v28) = v144 & h4(v25) = v142 & h4(v22) = v140 & h4(v19) = v138 & % 58.43/9.05 | h4(v16) = v136 & h4(v12) = v133 & h4(v8) = v130 & h4(v4) = v127 & % 58.43/9.05 | h4(v0) = v124 & h4(e13) = v134 & h4(e12) = v131 & h4(e11) = v128 & % 58.43/9.05 | h4(e10) = v125 & h3(v49) = v122 & h3(v46) = v120 & h3(v43) = v118 & % 58.43/9.05 | h3(v40) = v116 & h3(v37) = v114 & h3(v34) = v112 & h3(v31) = v110 & % 58.43/9.05 | h3(v28) = v108 & h3(v25) = v106 & h3(v22) = v104 & h3(v19) = v102 & % 58.43/9.05 | h3(v16) = v100 & h3(v12) = v97 & h3(v8) = v94 & h3(v4) = v91 & % 58.43/9.05 | h3(v0) = v88 & h3(e13) = v98 & h3(e12) = v95 & h3(e11) = v92 & % 58.43/9.05 | h3(e10) = v89 & h2(v49) = v86 & h2(v46) = v84 & h2(v43) = v82 & % 58.43/9.05 | h2(v40) = v80 & h2(v37) = v78 & h2(v34) = v76 & h2(v31) = v74 & % 58.43/9.05 | h2(v28) = v72 & h2(v25) = v70 & h2(v22) = v68 & h2(v19) = v66 & % 58.43/9.05 | h2(v16) = v64 & h2(v12) = v61 & h2(v8) = v58 & h2(v4) = v55 & h2(v0) % 58.43/9.05 | = v52 & h2(e13) = v62 & h2(e12) = v59 & h2(e11) = v56 & h2(e10) = % 58.43/9.05 | v53 & h1(v49) = v50 & h1(v46) = v47 & h1(v43) = v44 & h1(v40) = v41 % 58.43/9.05 | & h1(v37) = v38 & h1(v34) = v35 & h1(v31) = v32 & h1(v28) = v29 & % 58.43/9.05 | h1(v25) = v26 & h1(v22) = v23 & h1(v19) = v20 & h1(v16) = v17 & % 58.43/9.05 | h1(v12) = v13 & h1(v8) = v9 & h1(v4) = v5 & h1(v0) = v1 & h1(e13) = % 58.43/9.05 | v14 & h1(e12) = v10 & h1(e11) = v6 & h1(e10) = v2 & op2(v134, v134) % 58.43/9.05 | = v159 & op2(v134, v131) = v157 & op2(v134, v128) = v155 & op2(v134, % 58.43/9.05 | v125) = v153 & op2(v131, v134) = v151 & op2(v131, v131) = v149 & % 58.43/9.05 | op2(v131, v128) = v147 & op2(v131, v125) = v145 & op2(v128, v134) = % 58.43/9.05 | v143 & op2(v128, v131) = v141 & op2(v128, v128) = v139 & op2(v128, % 58.43/9.05 | v125) = v137 & op2(v125, v134) = v135 & op2(v125, v131) = v132 & % 58.43/9.05 | op2(v125, v128) = v129 & op2(v125, v125) = v126 & op2(v98, v98) = % 58.43/9.05 | v123 & op2(v98, v95) = v121 & op2(v98, v92) = v119 & op2(v98, v89) = % 58.43/9.05 | v117 & op2(v95, v98) = v115 & op2(v95, v95) = v113 & op2(v95, v92) = % 58.43/9.05 | v111 & op2(v95, v89) = v109 & op2(v92, v98) = v107 & op2(v92, v95) = % 58.43/9.05 | v105 & op2(v92, v92) = v103 & op2(v92, v89) = v101 & op2(v89, v98) = % 58.43/9.05 | v99 & op2(v89, v95) = v96 & op2(v89, v92) = v93 & op2(v89, v89) = % 58.43/9.05 | v90 & op2(v62, v62) = v87 & op2(v62, v59) = v85 & op2(v62, v56) = % 58.43/9.05 | v83 & op2(v62, v53) = v81 & op2(v59, v62) = v79 & op2(v59, v59) = % 58.43/9.05 | v77 & op2(v59, v56) = v75 & op2(v59, v53) = v73 & op2(v56, v62) = % 58.43/9.05 | v71 & op2(v56, v59) = v69 & op2(v56, v56) = v67 & op2(v56, v53) = % 58.43/9.05 | v65 & op2(v53, v62) = v63 & op2(v53, v59) = v60 & op2(v53, v56) = % 58.43/9.05 | v57 & op2(v53, v53) = v54 & op2(v14, v14) = v51 & op2(v14, v10) = % 58.43/9.05 | v48 & op2(v14, v6) = v45 & op2(v14, v2) = v42 & op2(v10, v14) = v39 % 58.43/9.05 | & op2(v10, v10) = v36 & op2(v10, v6) = v33 & op2(v10, v2) = v30 & % 58.43/9.05 | op2(v6, v14) = v27 & op2(v6, v10) = v24 & op2(v6, v6) = v21 & % 58.43/9.05 | op2(v6, v2) = v18 & op2(v2, v14) = v15 & op2(v2, v10) = v11 & % 58.43/9.05 | op2(v2, v6) = v7 & op2(v2, v2) = v3 & op1(e13, e13) = v49 & op1(e13, % 58.43/9.05 | e12) = v46 & op1(e13, e11) = v43 & op1(e13, e10) = v40 & op1(e12, % 58.43/9.05 | e13) = v37 & op1(e12, e12) = v34 & op1(e12, e11) = v31 & op1(e12, % 58.43/9.05 | e10) = v28 & op1(e11, e13) = v25 & op1(e11, e12) = v22 & op1(e11, % 58.43/9.05 | e11) = v19 & op1(e11, e10) = v16 & op1(e10, e13) = v12 & op1(e10, % 58.43/9.05 | e12) = v8 & op1(e10, e11) = v4 & op1(e10, e10) = v0 & $i(v159) & % 58.43/9.05 | $i(v158) & $i(v157) & $i(v156) & $i(v155) & $i(v154) & $i(v153) & % 58.43/9.05 | $i(v152) & $i(v151) & $i(v150) & $i(v149) & $i(v148) & $i(v147) & % 58.43/9.05 | $i(v146) & $i(v145) & $i(v144) & $i(v143) & $i(v142) & $i(v141) & % 58.43/9.05 | $i(v140) & $i(v139) & $i(v138) & $i(v137) & $i(v136) & $i(v135) & % 58.43/9.05 | $i(v134) & $i(v133) & $i(v132) & $i(v131) & $i(v130) & $i(v129) & % 58.43/9.05 | $i(v128) & $i(v127) & $i(v126) & $i(v125) & $i(v124) & $i(v123) & % 58.43/9.05 | $i(v122) & $i(v121) & $i(v120) & $i(v119) & $i(v118) & $i(v117) & % 58.43/9.05 | $i(v116) & $i(v115) & $i(v114) & $i(v113) & $i(v112) & $i(v111) & % 58.43/9.05 | $i(v110) & $i(v109) & $i(v108) & $i(v107) & $i(v106) & $i(v105) & % 58.43/9.05 | $i(v104) & $i(v103) & $i(v102) & $i(v101) & $i(v100) & $i(v99) & % 58.43/9.05 | $i(v98) & $i(v97) & $i(v96) & $i(v95) & $i(v94) & $i(v93) & $i(v92) % 58.43/9.05 | & $i(v91) & $i(v90) & $i(v89) & $i(v88) & $i(v87) & $i(v86) & % 58.43/9.05 | $i(v85) & $i(v84) & $i(v83) & $i(v82) & $i(v81) & $i(v80) & $i(v79) % 58.43/9.05 | & $i(v78) & $i(v77) & $i(v76) & $i(v75) & $i(v74) & $i(v73) & % 58.43/9.05 | $i(v72) & $i(v71) & $i(v70) & $i(v69) & $i(v68) & $i(v67) & $i(v66) % 58.43/9.05 | & $i(v65) & $i(v64) & $i(v63) & $i(v62) & $i(v61) & $i(v60) & % 58.43/9.05 | $i(v59) & $i(v58) & $i(v57) & $i(v56) & $i(v55) & $i(v54) & $i(v53) % 58.43/9.05 | & $i(v52) & $i(v51) & $i(v50) & $i(v49) & $i(v48) & $i(v47) & % 58.43/9.05 | $i(v46) & $i(v45) & $i(v44) & $i(v43) & $i(v42) & $i(v41) & $i(v40) % 58.43/9.05 | & $i(v39) & $i(v38) & $i(v37) & $i(v36) & $i(v35) & $i(v34) & % 58.43/9.05 | $i(v33) & $i(v32) & $i(v31) & $i(v30) & $i(v29) & $i(v28) & $i(v27) % 58.43/9.05 | & $i(v26) & $i(v25) & $i(v24) & $i(v23) & $i(v22) & $i(v21) & % 58.43/9.05 | $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) % 58.43/9.05 | & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & % 58.43/9.05 | $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ( ~ % 58.43/9.05 | (v159 = v158) | ~ (v157 = v156) | ~ (v155 = v154) | ~ (v153 = % 58.43/9.05 | v152) | ~ (v151 = v150) | ~ (v149 = v148) | ~ (v147 = v146) | % 58.43/9.05 | ~ (v145 = v144) | ~ (v143 = v142) | ~ (v141 = v140) | ~ (v139 % 58.43/9.05 | = v138) | ~ (v137 = v136) | ~ (v135 = v133) | ~ (v132 = v130) % 58.43/9.05 | | ~ (v129 = v127) | ~ (v126 = v124) | ( ~ (v134 = e23) & ~ % 58.43/9.05 | (v131 = e23) & ~ (v128 = e23) & ~ (v125 = e23)) | ( ~ (v134 = % 58.43/9.05 | e22) & ~ (v131 = e22) & ~ (v128 = e22) & ~ (v125 = e22)) | % 58.43/9.05 | ( ~ (v134 = e21) & ~ (v131 = e21) & ~ (v128 = e21) & ~ (v125 = % 58.43/9.05 | e21)) | ( ~ (v134 = e20) & ~ (v131 = e20) & ~ (v128 = e20) & % 58.43/9.05 | ~ (v125 = e20))) & ( ~ (v123 = v122) | ~ (v121 = v120) | ~ % 58.43/9.05 | (v119 = v118) | ~ (v117 = v116) | ~ (v115 = v114) | ~ (v113 = % 58.43/9.05 | v112) | ~ (v111 = v110) | ~ (v109 = v108) | ~ (v107 = v106) | % 58.43/9.05 | ~ (v105 = v104) | ~ (v103 = v102) | ~ (v101 = v100) | ~ (v99 = % 58.43/9.05 | v97) | ~ (v96 = v94) | ~ (v93 = v91) | ~ (v90 = v88) | ( ~ % 58.43/9.05 | (v98 = e23) & ~ (v95 = e23) & ~ (v92 = e23) & ~ (v89 = e23)) % 58.43/9.05 | | ( ~ (v98 = e22) & ~ (v95 = e22) & ~ (v92 = e22) & ~ (v89 = % 58.43/9.05 | e22)) | ( ~ (v98 = e21) & ~ (v95 = e21) & ~ (v92 = e21) & ~ % 58.43/9.05 | (v89 = e21)) | ( ~ (v98 = e20) & ~ (v95 = e20) & ~ (v92 = e20) % 58.43/9.05 | & ~ (v89 = e20))) & ( ~ (v87 = v86) | ~ (v85 = v84) | ~ (v83 % 58.43/9.05 | = v82) | ~ (v81 = v80) | ~ (v79 = v78) | ~ (v77 = v76) | ~ % 58.43/9.05 | (v75 = v74) | ~ (v73 = v72) | ~ (v71 = v70) | ~ (v69 = v68) | % 58.43/9.05 | ~ (v67 = v66) | ~ (v65 = v64) | ~ (v63 = v61) | ~ (v60 = v58) | % 58.43/9.05 | ~ (v57 = v55) | ~ (v54 = v52) | ( ~ (v62 = e23) & ~ (v59 = e23) % 58.43/9.05 | & ~ (v56 = e23) & ~ (v53 = e23)) | ( ~ (v62 = e22) & ~ (v59 = % 58.43/9.05 | e22) & ~ (v56 = e22) & ~ (v53 = e22)) | ( ~ (v62 = e21) & ~ % 58.43/9.05 | (v59 = e21) & ~ (v56 = e21) & ~ (v53 = e21)) | ( ~ (v62 = e20) % 58.43/9.05 | & ~ (v59 = e20) & ~ (v56 = e20) & ~ (v53 = e20))) & ( ~ (v51 % 58.43/9.05 | = v50) | ~ (v48 = v47) | ~ (v45 = v44) | ~ (v42 = v41) | ~ % 58.43/9.05 | (v39 = v38) | ~ (v36 = v35) | ~ (v33 = v32) | ~ (v30 = v29) | % 58.43/9.05 | ~ (v27 = v26) | ~ (v24 = v23) | ~ (v21 = v20) | ~ (v18 = v17) | % 58.43/9.05 | ~ (v15 = v13) | ~ (v11 = v9) | ~ (v7 = v5) | ~ (v3 = v1) | ( ~ % 58.43/9.05 | (v14 = e23) & ~ (v10 = e23) & ~ (v6 = e23) & ~ (v2 = e23)) | % 58.43/9.05 | ( ~ (v14 = e22) & ~ (v10 = e22) & ~ (v6 = e22) & ~ (v2 = e22)) % 58.43/9.05 | | ( ~ (v14 = e21) & ~ (v10 = e21) & ~ (v6 = e21) & ~ (v2 = % 58.43/9.05 | e21)) | ( ~ (v14 = e20) & ~ (v10 = e20) & ~ (v6 = e20) & ~ % 58.43/9.05 | (v2 = e20)))) % 58.43/9.05 | % 58.43/9.05 | ALPHA: (function-axioms) implies: % 58.43/9.05 | (26) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h1(v2) = v1) % 58.43/9.05 | | ~ (h1(v2) = v0)) % 58.43/9.05 | (27) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h2(v2) = v1) % 58.43/9.05 | | ~ (h2(v2) = v0)) % 58.43/9.05 | (28) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h3(v2) = v1) % 58.43/9.05 | | ~ (h3(v2) = v0)) % 58.43/9.05 | (29) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h4(v2) = v1) % 58.43/9.05 | | ~ (h4(v2) = v0)) % 58.43/9.05 | (30) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 58.43/9.05 | (op1(v3, v2) = v1) | ~ (op1(v3, v2) = v0)) % 58.43/9.05 | (31) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 58.43/9.05 | (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0)) % 58.43/9.05 | % 58.43/9.05 | DELTA: instantiating (22) with fresh symbols all_4_0, all_4_1, all_4_2 gives: % 58.43/9.05 | (32) h2(e13) = all_4_0 & h2(e12) = all_4_1 & h2(e11) = all_4_2 & h2(e10) = % 58.43/9.05 | e21 & op2(all_4_1, e21) = all_4_0 & op2(e21, all_4_2) = all_4_1 & % 58.43/9.05 | op2(e21, e21) = all_4_2 & $i(all_4_0) & $i(all_4_1) & $i(all_4_2) % 58.43/9.05 | % 58.43/9.05 | ALPHA: (32) implies: % 58.43/9.05 | (33) op2(e21, e21) = all_4_2 % 58.43/9.05 | (34) op2(e21, all_4_2) = all_4_1 % 58.43/9.05 | (35) op2(all_4_1, e21) = all_4_0 % 58.43/9.05 | (36) h2(e10) = e21 % 58.43/9.05 | (37) h2(e11) = all_4_2 % 58.43/9.05 | (38) h2(e12) = all_4_1 % 58.43/9.05 | (39) h2(e13) = all_4_0 % 58.43/9.05 | % 58.43/9.05 | DELTA: instantiating (23) with fresh symbols all_6_0, all_6_1, all_6_2 gives: % 58.43/9.05 | (40) h3(e13) = all_6_0 & h3(e12) = all_6_1 & h3(e11) = all_6_2 & h3(e10) = % 58.43/9.05 | e22 & op2(all_6_1, e22) = all_6_0 & op2(e22, all_6_2) = all_6_1 & % 58.43/9.05 | op2(e22, e22) = all_6_2 & $i(all_6_0) & $i(all_6_1) & $i(all_6_2) % 58.43/9.05 | % 58.43/9.05 | ALPHA: (40) implies: % 58.43/9.05 | (41) op2(e22, e22) = all_6_2 % 58.43/9.05 | (42) op2(e22, all_6_2) = all_6_1 % 58.43/9.05 | (43) op2(all_6_1, e22) = all_6_0 % 58.43/9.05 | (44) h3(e10) = e22 % 58.43/9.05 | (45) h3(e11) = all_6_2 % 58.43/9.05 | (46) h3(e12) = all_6_1 % 58.43/9.05 | % 58.43/9.05 | DELTA: instantiating (24) with fresh symbols all_8_0, all_8_1, all_8_2 gives: % 58.43/9.05 | (47) h4(e13) = all_8_0 & h4(e12) = all_8_1 & h4(e11) = all_8_2 & h4(e10) = % 58.43/9.05 | e23 & op2(all_8_1, e23) = all_8_0 & op2(e23, all_8_2) = all_8_1 & % 58.43/9.05 | op2(e23, e23) = all_8_2 & $i(all_8_0) & $i(all_8_1) & $i(all_8_2) % 58.43/9.05 | % 58.43/9.05 | ALPHA: (47) implies: % 58.43/9.05 | (48) op2(e23, e23) = all_8_2 % 58.43/9.05 | (49) op2(e23, all_8_2) = all_8_1 % 58.43/9.05 | (50) op2(all_8_1, e23) = all_8_0 % 58.43/9.05 | (51) h4(e10) = e23 % 58.43/9.05 | (52) h4(e11) = all_8_2 % 58.43/9.05 | (53) h4(e12) = all_8_1 % 58.43/9.05 | (54) h4(e13) = all_8_0 % 58.43/9.05 | % 58.43/9.05 | DELTA: instantiating (21) with fresh symbols all_10_0, all_10_1, all_10_2 % 58.43/9.05 | gives: % 58.43/9.05 | (55) h1(e13) = all_10_0 & h1(e12) = all_10_1 & h1(e11) = all_10_2 & h1(e10) % 58.43/9.05 | = e20 & op2(all_10_1, e20) = all_10_0 & op2(e20, all_10_2) = all_10_1 % 58.43/9.05 | & op2(e20, e20) = all_10_2 & $i(all_10_0) & $i(all_10_1) & % 58.43/9.05 | $i(all_10_2) % 58.43/9.05 | % 58.43/9.06 | ALPHA: (55) implies: % 58.43/9.06 | (56) op2(e20, e20) = all_10_2 % 58.43/9.06 | (57) op2(e20, all_10_2) = all_10_1 % 58.43/9.06 | (58) op2(all_10_1, e20) = all_10_0 % 58.43/9.06 | (59) h1(e10) = e20 % 58.43/9.06 | (60) h1(e11) = all_10_2 % 58.43/9.06 | (61) h1(e12) = all_10_1 % 58.43/9.06 | (62) h1(e13) = all_10_0 % 58.43/9.06 | % 58.43/9.06 | DELTA: instantiating (5) with fresh symbols all_12_0, all_12_1, all_12_2, % 58.43/9.06 | all_12_3, all_12_4, all_12_5, all_12_6, all_12_7, all_12_8, all_12_9, % 58.43/9.06 | all_12_10, all_12_11, all_12_12, all_12_13, all_12_14, all_12_15 gives: % 58.43/9.06 | (63) ~ (all_12_0 = all_12_1) & ~ (all_12_0 = all_12_2) & ~ (all_12_0 = % 58.43/9.06 | all_12_3) & ~ (all_12_0 = all_12_4) & ~ (all_12_0 = all_12_8) & ~ % 58.43/9.06 | (all_12_0 = all_12_12) & ~ (all_12_1 = all_12_2) & ~ (all_12_1 = % 58.43/9.06 | all_12_3) & ~ (all_12_1 = all_12_5) & ~ (all_12_1 = all_12_9) & ~ % 58.43/9.06 | (all_12_1 = all_12_13) & ~ (all_12_2 = all_12_3) & ~ (all_12_2 = % 58.43/9.06 | all_12_6) & ~ (all_12_2 = all_12_10) & ~ (all_12_2 = all_12_14) & % 58.43/9.06 | ~ (all_12_3 = all_12_7) & ~ (all_12_3 = all_12_11) & ~ (all_12_3 = % 58.43/9.06 | all_12_15) & ~ (all_12_4 = all_12_5) & ~ (all_12_4 = all_12_6) & % 58.43/9.06 | ~ (all_12_4 = all_12_7) & ~ (all_12_4 = all_12_8) & ~ (all_12_4 = % 58.43/9.06 | all_12_12) & ~ (all_12_5 = all_12_6) & ~ (all_12_5 = all_12_7) & % 58.43/9.06 | ~ (all_12_5 = all_12_9) & ~ (all_12_5 = all_12_13) & ~ (all_12_6 = % 58.43/9.06 | all_12_7) & ~ (all_12_6 = all_12_10) & ~ (all_12_6 = all_12_14) & % 58.43/9.06 | ~ (all_12_7 = all_12_11) & ~ (all_12_7 = all_12_15) & ~ (all_12_8 = % 58.43/9.06 | all_12_9) & ~ (all_12_8 = all_12_10) & ~ (all_12_8 = all_12_11) & % 58.43/9.06 | ~ (all_12_8 = all_12_12) & ~ (all_12_9 = all_12_10) & ~ (all_12_9 = % 58.43/9.06 | all_12_11) & ~ (all_12_9 = all_12_13) & ~ (all_12_10 = all_12_11) % 58.43/9.06 | & ~ (all_12_10 = all_12_14) & ~ (all_12_11 = all_12_15) & ~ % 58.43/9.06 | (all_12_12 = all_12_13) & ~ (all_12_12 = all_12_14) & ~ (all_12_12 = % 58.43/9.06 | all_12_15) & ~ (all_12_13 = all_12_14) & ~ (all_12_13 = all_12_15) % 58.43/9.06 | & ~ (all_12_14 = all_12_15) & op1(e13, e13) = all_12_0 & op1(e13, % 58.43/9.06 | e12) = all_12_4 & op1(e13, e11) = all_12_8 & op1(e13, e10) = % 58.43/9.06 | all_12_12 & op1(e12, e13) = all_12_1 & op1(e12, e12) = all_12_5 & % 58.43/9.06 | op1(e12, e11) = all_12_9 & op1(e12, e10) = all_12_13 & op1(e11, e13) = % 58.43/9.06 | all_12_2 & op1(e11, e12) = all_12_6 & op1(e11, e11) = all_12_10 & % 58.43/9.06 | op1(e11, e10) = all_12_14 & op1(e10, e13) = all_12_3 & op1(e10, e12) = % 58.43/9.06 | all_12_7 & op1(e10, e11) = all_12_11 & op1(e10, e10) = all_12_15 & % 58.43/9.06 | $i(all_12_0) & $i(all_12_1) & $i(all_12_2) & $i(all_12_3) & % 58.43/9.06 | $i(all_12_4) & $i(all_12_5) & $i(all_12_6) & $i(all_12_7) & % 58.43/9.06 | $i(all_12_8) & $i(all_12_9) & $i(all_12_10) & $i(all_12_11) & % 58.43/9.06 | $i(all_12_12) & $i(all_12_13) & $i(all_12_14) & $i(all_12_15) % 58.43/9.06 | % 58.43/9.06 | ALPHA: (63) implies: % 58.43/9.06 | (64) ~ (all_12_14 = all_12_15) % 58.43/9.06 | (65) ~ (all_12_13 = all_12_15) % 58.43/9.06 | (66) ~ (all_12_13 = all_12_14) % 58.43/9.06 | (67) ~ (all_12_12 = all_12_15) % 58.43/9.06 | (68) ~ (all_12_12 = all_12_14) % 58.43/9.06 | (69) ~ (all_12_12 = all_12_13) % 58.43/9.06 | (70) ~ (all_12_10 = all_12_14) % 58.43/9.06 | (71) ~ (all_12_10 = all_12_11) % 58.43/9.06 | (72) ~ (all_12_9 = all_12_13) % 58.43/9.06 | (73) ~ (all_12_9 = all_12_11) % 58.43/9.06 | (74) ~ (all_12_9 = all_12_10) % 58.43/9.06 | (75) ~ (all_12_8 = all_12_12) % 58.43/9.06 | (76) ~ (all_12_8 = all_12_11) % 58.43/9.06 | (77) ~ (all_12_8 = all_12_10) % 58.43/9.06 | (78) ~ (all_12_8 = all_12_9) % 58.43/9.06 | (79) ~ (all_12_7 = all_12_15) % 58.43/9.06 | (80) ~ (all_12_7 = all_12_11) % 58.43/9.06 | (81) ~ (all_12_6 = all_12_14) % 58.43/9.06 | (82) ~ (all_12_6 = all_12_10) % 58.43/9.06 | (83) ~ (all_12_6 = all_12_7) % 58.43/9.06 | (84) ~ (all_12_5 = all_12_13) % 58.43/9.06 | (85) ~ (all_12_5 = all_12_9) % 58.43/9.06 | (86) ~ (all_12_5 = all_12_7) % 58.43/9.06 | (87) ~ (all_12_5 = all_12_6) % 58.43/9.06 | (88) ~ (all_12_4 = all_12_12) % 58.43/9.06 | (89) ~ (all_12_4 = all_12_8) % 58.43/9.06 | (90) ~ (all_12_4 = all_12_7) % 58.43/9.06 | (91) ~ (all_12_4 = all_12_6) % 58.43/9.06 | (92) ~ (all_12_4 = all_12_5) % 58.43/9.06 | (93) ~ (all_12_3 = all_12_15) % 58.43/9.06 | (94) ~ (all_12_3 = all_12_11) % 58.43/9.06 | (95) ~ (all_12_3 = all_12_7) % 58.43/9.06 | (96) ~ (all_12_2 = all_12_14) % 58.43/9.06 | (97) ~ (all_12_2 = all_12_10) % 58.43/9.06 | (98) ~ (all_12_2 = all_12_6) % 58.43/9.06 | (99) ~ (all_12_2 = all_12_3) % 58.43/9.06 | (100) ~ (all_12_1 = all_12_13) % 58.43/9.06 | (101) ~ (all_12_1 = all_12_9) % 58.43/9.06 | (102) ~ (all_12_1 = all_12_5) % 58.43/9.06 | (103) ~ (all_12_1 = all_12_3) % 58.43/9.06 | (104) ~ (all_12_1 = all_12_2) % 58.43/9.06 | (105) ~ (all_12_0 = all_12_12) % 58.43/9.06 | (106) ~ (all_12_0 = all_12_8) % 58.43/9.06 | (107) ~ (all_12_0 = all_12_4) % 58.43/9.06 | (108) ~ (all_12_0 = all_12_3) % 58.43/9.06 | (109) ~ (all_12_0 = all_12_2) % 58.43/9.06 | (110) ~ (all_12_0 = all_12_1) % 58.43/9.06 | (111) op1(e10, e10) = all_12_15 % 58.43/9.06 | (112) op1(e10, e11) = all_12_11 % 58.43/9.06 | (113) op1(e10, e12) = all_12_7 % 58.43/9.06 | (114) op1(e10, e13) = all_12_3 % 58.43/9.06 | (115) op1(e11, e10) = all_12_14 % 58.43/9.06 | (116) op1(e11, e11) = all_12_10 % 58.43/9.06 | (117) op1(e11, e12) = all_12_6 % 58.43/9.06 | (118) op1(e11, e13) = all_12_2 % 58.43/9.06 | (119) op1(e12, e10) = all_12_13 % 58.43/9.06 | (120) op1(e12, e11) = all_12_9 % 58.43/9.06 | (121) op1(e12, e12) = all_12_5 % 58.43/9.06 | (122) op1(e12, e13) = all_12_1 % 58.43/9.06 | (123) op1(e13, e10) = all_12_12 % 58.43/9.06 | (124) op1(e13, e11) = all_12_8 % 58.43/9.06 | (125) op1(e13, e12) = all_12_4 % 58.43/9.06 | (126) op1(e13, e13) = all_12_0 % 58.43/9.06 | % 58.43/9.06 | DELTA: instantiating (6) with fresh symbols all_14_0, all_14_1, all_14_2, % 58.43/9.06 | all_14_3, all_14_4, all_14_5, all_14_6, all_14_7, all_14_8, all_14_9, % 58.43/9.06 | all_14_10, all_14_11, all_14_12, all_14_13, all_14_14, all_14_15 gives: % 58.43/9.07 | (127) ~ (all_14_0 = all_14_1) & ~ (all_14_0 = all_14_2) & ~ (all_14_0 = % 58.43/9.07 | all_14_3) & ~ (all_14_0 = all_14_4) & ~ (all_14_0 = all_14_8) & % 58.43/9.07 | ~ (all_14_0 = all_14_12) & ~ (all_14_1 = all_14_2) & ~ (all_14_1 = % 58.43/9.07 | all_14_3) & ~ (all_14_1 = all_14_5) & ~ (all_14_1 = all_14_9) & % 58.43/9.07 | ~ (all_14_1 = all_14_13) & ~ (all_14_2 = all_14_3) & ~ (all_14_2 = % 58.43/9.07 | all_14_6) & ~ (all_14_2 = all_14_10) & ~ (all_14_2 = all_14_14) & % 58.43/9.07 | ~ (all_14_3 = all_14_7) & ~ (all_14_3 = all_14_11) & ~ (all_14_3 = % 58.43/9.07 | all_14_15) & ~ (all_14_4 = all_14_5) & ~ (all_14_4 = all_14_6) & % 58.43/9.07 | ~ (all_14_4 = all_14_7) & ~ (all_14_4 = all_14_8) & ~ (all_14_4 = % 58.43/9.07 | all_14_12) & ~ (all_14_5 = all_14_6) & ~ (all_14_5 = all_14_7) & % 58.43/9.07 | ~ (all_14_5 = all_14_9) & ~ (all_14_5 = all_14_13) & ~ (all_14_6 = % 58.43/9.07 | all_14_7) & ~ (all_14_6 = all_14_10) & ~ (all_14_6 = all_14_14) & % 58.43/9.07 | ~ (all_14_7 = all_14_11) & ~ (all_14_7 = all_14_15) & ~ (all_14_8 % 58.43/9.07 | = all_14_9) & ~ (all_14_8 = all_14_10) & ~ (all_14_8 = all_14_11) % 58.43/9.07 | & ~ (all_14_8 = all_14_12) & ~ (all_14_9 = all_14_10) & ~ % 58.43/9.07 | (all_14_9 = all_14_11) & ~ (all_14_9 = all_14_13) & ~ (all_14_10 = % 58.43/9.07 | all_14_11) & ~ (all_14_10 = all_14_14) & ~ (all_14_11 = % 58.43/9.07 | all_14_15) & ~ (all_14_12 = all_14_13) & ~ (all_14_12 = % 58.43/9.07 | all_14_14) & ~ (all_14_12 = all_14_15) & ~ (all_14_13 = % 58.43/9.07 | all_14_14) & ~ (all_14_13 = all_14_15) & ~ (all_14_14 = % 58.43/9.07 | all_14_15) & op2(e23, e23) = all_14_0 & op2(e23, e22) = all_14_4 & % 58.43/9.07 | op2(e23, e21) = all_14_8 & op2(e23, e20) = all_14_12 & op2(e22, e23) % 58.43/9.07 | = all_14_1 & op2(e22, e22) = all_14_5 & op2(e22, e21) = all_14_9 & % 58.43/9.07 | op2(e22, e20) = all_14_13 & op2(e21, e23) = all_14_2 & op2(e21, e22) % 58.43/9.07 | = all_14_6 & op2(e21, e21) = all_14_10 & op2(e21, e20) = all_14_14 & % 58.43/9.07 | op2(e20, e23) = all_14_3 & op2(e20, e22) = all_14_7 & op2(e20, e21) = % 58.43/9.07 | all_14_11 & op2(e20, e20) = all_14_15 & $i(all_14_0) & $i(all_14_1) & % 58.43/9.07 | $i(all_14_2) & $i(all_14_3) & $i(all_14_4) & $i(all_14_5) & % 58.43/9.07 | $i(all_14_6) & $i(all_14_7) & $i(all_14_8) & $i(all_14_9) & % 58.43/9.07 | $i(all_14_10) & $i(all_14_11) & $i(all_14_12) & $i(all_14_13) & % 58.43/9.07 | $i(all_14_14) & $i(all_14_15) % 58.43/9.07 | % 58.43/9.07 | ALPHA: (127) implies: % 58.43/9.07 | (128) ~ (all_14_14 = all_14_15) % 58.43/9.07 | (129) ~ (all_14_13 = all_14_15) % 58.43/9.07 | (130) ~ (all_14_13 = all_14_14) % 58.43/9.07 | (131) ~ (all_14_12 = all_14_15) % 58.43/9.07 | (132) ~ (all_14_12 = all_14_14) % 58.43/9.07 | (133) ~ (all_14_12 = all_14_13) % 58.43/9.07 | (134) ~ (all_14_11 = all_14_15) % 58.43/9.07 | (135) ~ (all_14_10 = all_14_14) % 58.43/9.07 | (136) ~ (all_14_10 = all_14_11) % 58.43/9.07 | (137) ~ (all_14_9 = all_14_13) % 58.43/9.07 | (138) ~ (all_14_9 = all_14_11) % 58.43/9.07 | (139) ~ (all_14_9 = all_14_10) % 58.43/9.07 | (140) ~ (all_14_8 = all_14_12) % 58.43/9.07 | (141) ~ (all_14_8 = all_14_11) % 58.43/9.07 | (142) ~ (all_14_8 = all_14_10) % 58.43/9.07 | (143) ~ (all_14_8 = all_14_9) % 58.43/9.07 | (144) ~ (all_14_7 = all_14_15) % 58.43/9.07 | (145) ~ (all_14_7 = all_14_11) % 58.43/9.07 | (146) ~ (all_14_6 = all_14_14) % 58.43/9.07 | (147) ~ (all_14_6 = all_14_10) % 58.43/9.07 | (148) ~ (all_14_6 = all_14_7) % 58.43/9.07 | (149) ~ (all_14_5 = all_14_13) % 58.43/9.07 | (150) ~ (all_14_5 = all_14_9) % 58.43/9.07 | (151) ~ (all_14_5 = all_14_7) % 58.43/9.07 | (152) ~ (all_14_5 = all_14_6) % 58.43/9.07 | (153) ~ (all_14_4 = all_14_12) % 58.43/9.07 | (154) ~ (all_14_4 = all_14_8) % 58.43/9.07 | (155) ~ (all_14_4 = all_14_7) % 58.43/9.07 | (156) ~ (all_14_4 = all_14_6) % 58.43/9.07 | (157) ~ (all_14_4 = all_14_5) % 58.43/9.07 | (158) ~ (all_14_3 = all_14_15) % 58.43/9.07 | (159) ~ (all_14_3 = all_14_11) % 58.43/9.07 | (160) ~ (all_14_3 = all_14_7) % 58.43/9.07 | (161) ~ (all_14_2 = all_14_14) % 58.43/9.07 | (162) ~ (all_14_2 = all_14_10) % 58.43/9.07 | (163) ~ (all_14_2 = all_14_6) % 58.43/9.07 | (164) ~ (all_14_2 = all_14_3) % 58.43/9.07 | (165) ~ (all_14_1 = all_14_13) % 58.43/9.07 | (166) ~ (all_14_1 = all_14_9) % 58.43/9.07 | (167) ~ (all_14_1 = all_14_5) % 58.43/9.07 | (168) ~ (all_14_1 = all_14_3) % 58.43/9.07 | (169) ~ (all_14_1 = all_14_2) % 58.43/9.07 | (170) ~ (all_14_0 = all_14_12) % 58.43/9.07 | (171) ~ (all_14_0 = all_14_8) % 58.43/9.07 | (172) ~ (all_14_0 = all_14_4) % 58.43/9.07 | (173) ~ (all_14_0 = all_14_3) % 58.43/9.07 | (174) ~ (all_14_0 = all_14_2) % 58.43/9.07 | (175) ~ (all_14_0 = all_14_1) % 58.43/9.07 | (176) op2(e20, e20) = all_14_15 % 58.43/9.07 | (177) op2(e20, e21) = all_14_11 % 58.43/9.07 | (178) op2(e20, e22) = all_14_7 % 58.43/9.07 | (179) op2(e20, e23) = all_14_3 % 58.43/9.07 | (180) op2(e21, e20) = all_14_14 % 58.43/9.07 | (181) op2(e21, e21) = all_14_10 % 58.43/9.07 | (182) op2(e21, e22) = all_14_6 % 58.43/9.07 | (183) op2(e21, e23) = all_14_2 % 58.43/9.07 | (184) op2(e22, e20) = all_14_13 % 58.43/9.07 | (185) op2(e22, e21) = all_14_9 % 58.43/9.07 | (186) op2(e22, e22) = all_14_5 % 58.43/9.07 | (187) op2(e22, e23) = all_14_1 % 58.43/9.07 | (188) op2(e23, e20) = all_14_12 % 58.43/9.07 | (189) op2(e23, e21) = all_14_8 % 58.43/9.07 | (190) op2(e23, e22) = all_14_4 % 58.43/9.07 | (191) op2(e23, e23) = all_14_0 % 58.43/9.07 | % 58.43/9.07 | DELTA: instantiating (1) with fresh symbols all_16_0, all_16_1, all_16_2, % 58.43/9.07 | all_16_3, all_16_4, all_16_5, all_16_6, all_16_7, all_16_8, all_16_9, % 58.43/9.07 | all_16_10, all_16_11, all_16_12, all_16_13, all_16_14, all_16_15 gives: % 58.43/9.08 | (192) op1(e13, e13) = all_16_0 & op1(e13, e12) = all_16_1 & op1(e13, e11) = % 58.43/9.08 | all_16_2 & op1(e13, e10) = all_16_3 & op1(e12, e13) = all_16_4 & % 58.43/9.08 | op1(e12, e12) = all_16_5 & op1(e12, e11) = all_16_6 & op1(e12, e10) = % 58.43/9.08 | all_16_7 & op1(e11, e13) = all_16_8 & op1(e11, e12) = all_16_9 & % 58.43/9.08 | op1(e11, e11) = all_16_10 & op1(e11, e10) = all_16_11 & op1(e10, e13) % 58.43/9.08 | = all_16_12 & op1(e10, e12) = all_16_13 & op1(e10, e11) = all_16_14 & % 58.43/9.08 | op1(e10, e10) = all_16_15 & $i(all_16_0) & $i(all_16_1) & % 58.43/9.08 | $i(all_16_2) & $i(all_16_3) & $i(all_16_4) & $i(all_16_5) & % 58.43/9.08 | $i(all_16_6) & $i(all_16_7) & $i(all_16_8) & $i(all_16_9) & % 58.43/9.08 | $i(all_16_10) & $i(all_16_11) & $i(all_16_12) & $i(all_16_13) & % 58.43/9.08 | $i(all_16_14) & $i(all_16_15) & (all_16_0 = e13 | all_16_0 = e12 | % 58.43/9.08 | all_16_0 = e11 | all_16_0 = e10) & (all_16_1 = e13 | all_16_1 = e12 % 58.43/9.08 | | all_16_1 = e11 | all_16_1 = e10) & (all_16_2 = e13 | all_16_2 = % 58.43/9.08 | e12 | all_16_2 = e11 | all_16_2 = e10) & (all_16_3 = e13 | all_16_3 % 58.43/9.08 | = e12 | all_16_3 = e11 | all_16_3 = e10) & (all_16_4 = e13 | % 58.43/9.08 | all_16_4 = e12 | all_16_4 = e11 | all_16_4 = e10) & (all_16_5 = e13 % 58.43/9.08 | | all_16_5 = e12 | all_16_5 = e11 | all_16_5 = e10) & (all_16_6 = % 58.43/9.08 | e13 | all_16_6 = e12 | all_16_6 = e11 | all_16_6 = e10) & (all_16_7 % 58.43/9.08 | = e13 | all_16_7 = e12 | all_16_7 = e11 | all_16_7 = e10) & % 58.43/9.08 | (all_16_8 = e13 | all_16_8 = e12 | all_16_8 = e11 | all_16_8 = e10) & % 58.43/9.08 | (all_16_9 = e13 | all_16_9 = e12 | all_16_9 = e11 | all_16_9 = e10) & % 58.43/9.08 | (all_16_10 = e13 | all_16_10 = e12 | all_16_10 = e11 | all_16_10 = % 58.43/9.08 | e10) & (all_16_11 = e13 | all_16_11 = e12 | all_16_11 = e11 | % 58.43/9.08 | all_16_11 = e10) & (all_16_12 = e13 | all_16_12 = e12 | all_16_12 = % 58.43/9.08 | e11 | all_16_12 = e10) & (all_16_13 = e13 | all_16_13 = e12 | % 58.43/9.08 | all_16_13 = e11 | all_16_13 = e10) & (all_16_14 = e13 | all_16_14 = % 58.43/9.08 | e12 | all_16_14 = e11 | all_16_14 = e10) & (all_16_15 = e13 | % 58.43/9.08 | all_16_15 = e12 | all_16_15 = e11 | all_16_15 = e10) % 58.43/9.08 | % 58.43/9.08 | ALPHA: (192) implies: % 58.43/9.08 | (193) op1(e10, e10) = all_16_15 % 58.43/9.08 | (194) op1(e10, e11) = all_16_14 % 58.43/9.08 | (195) op1(e10, e12) = all_16_13 % 58.43/9.08 | (196) op1(e10, e13) = all_16_12 % 58.43/9.08 | (197) op1(e11, e10) = all_16_11 % 58.43/9.08 | (198) op1(e11, e11) = all_16_10 % 58.43/9.08 | (199) op1(e11, e12) = all_16_9 % 58.43/9.08 | (200) op1(e11, e13) = all_16_8 % 58.43/9.08 | (201) op1(e12, e10) = all_16_7 % 58.43/9.08 | (202) op1(e12, e11) = all_16_6 % 58.43/9.08 | (203) op1(e12, e12) = all_16_5 % 58.43/9.08 | (204) op1(e12, e13) = all_16_4 % 58.43/9.08 | (205) op1(e13, e10) = all_16_3 % 58.43/9.08 | (206) op1(e13, e11) = all_16_2 % 58.43/9.08 | (207) op1(e13, e12) = all_16_1 % 58.43/9.08 | (208) op1(e13, e13) = all_16_0 % 58.43/9.08 | (209) all_16_13 = e13 | all_16_13 = e12 | all_16_13 = e11 | all_16_13 = e10 % 58.43/9.08 | (210) all_16_12 = e13 | all_16_12 = e12 | all_16_12 = e11 | all_16_12 = e10 % 58.43/9.08 | (211) all_16_11 = e13 | all_16_11 = e12 | all_16_11 = e11 | all_16_11 = e10 % 58.43/9.08 | (212) all_16_10 = e13 | all_16_10 = e12 | all_16_10 = e11 | all_16_10 = e10 % 58.43/9.08 | (213) all_16_9 = e13 | all_16_9 = e12 | all_16_9 = e11 | all_16_9 = e10 % 58.43/9.08 | (214) all_16_8 = e13 | all_16_8 = e12 | all_16_8 = e11 | all_16_8 = e10 % 58.43/9.08 | (215) all_16_6 = e13 | all_16_6 = e12 | all_16_6 = e11 | all_16_6 = e10 % 58.43/9.08 | (216) all_16_5 = e13 | all_16_5 = e12 | all_16_5 = e11 | all_16_5 = e10 % 58.43/9.08 | (217) all_16_4 = e13 | all_16_4 = e12 | all_16_4 = e11 | all_16_4 = e10 % 58.43/9.08 | (218) all_16_3 = e13 | all_16_3 = e12 | all_16_3 = e11 | all_16_3 = e10 % 58.43/9.08 | (219) all_16_2 = e13 | all_16_2 = e12 | all_16_2 = e11 | all_16_2 = e10 % 58.43/9.08 | (220) all_16_1 = e13 | all_16_1 = e12 | all_16_1 = e11 | all_16_1 = e10 % 58.43/9.08 | % 58.43/9.08 | DELTA: instantiating (3) with fresh symbols all_18_0, all_18_1, all_18_2, % 58.43/9.08 | all_18_3, all_18_4, all_18_5, all_18_6, all_18_7, all_18_8, all_18_9, % 58.43/9.08 | all_18_10, all_18_11, all_18_12, all_18_13, all_18_14, all_18_15 gives: % 58.43/9.08 | (221) op2(e23, e23) = all_18_0 & op2(e23, e22) = all_18_1 & op2(e23, e21) = % 58.43/9.08 | all_18_2 & op2(e23, e20) = all_18_3 & op2(e22, e23) = all_18_4 & % 58.43/9.08 | op2(e22, e22) = all_18_5 & op2(e22, e21) = all_18_6 & op2(e22, e20) = % 58.43/9.08 | all_18_7 & op2(e21, e23) = all_18_8 & op2(e21, e22) = all_18_9 & % 58.43/9.08 | op2(e21, e21) = all_18_10 & op2(e21, e20) = all_18_11 & op2(e20, e23) % 58.43/9.08 | = all_18_12 & op2(e20, e22) = all_18_13 & op2(e20, e21) = all_18_14 & % 58.43/9.08 | op2(e20, e20) = all_18_15 & $i(all_18_0) & $i(all_18_1) & % 58.43/9.08 | $i(all_18_2) & $i(all_18_3) & $i(all_18_4) & $i(all_18_5) & % 58.43/9.08 | $i(all_18_6) & $i(all_18_7) & $i(all_18_8) & $i(all_18_9) & % 58.43/9.08 | $i(all_18_10) & $i(all_18_11) & $i(all_18_12) & $i(all_18_13) & % 58.43/9.08 | $i(all_18_14) & $i(all_18_15) & (all_18_0 = e23 | all_18_0 = e22 | % 58.43/9.08 | all_18_0 = e21 | all_18_0 = e20) & (all_18_1 = e23 | all_18_1 = e22 % 58.43/9.08 | | all_18_1 = e21 | all_18_1 = e20) & (all_18_2 = e23 | all_18_2 = % 58.43/9.08 | e22 | all_18_2 = e21 | all_18_2 = e20) & (all_18_3 = e23 | all_18_3 % 58.43/9.08 | = e22 | all_18_3 = e21 | all_18_3 = e20) & (all_18_4 = e23 | % 58.43/9.08 | all_18_4 = e22 | all_18_4 = e21 | all_18_4 = e20) & (all_18_5 = e23 % 58.43/9.08 | | all_18_5 = e22 | all_18_5 = e21 | all_18_5 = e20) & (all_18_6 = % 58.43/9.08 | e23 | all_18_6 = e22 | all_18_6 = e21 | all_18_6 = e20) & (all_18_7 % 58.43/9.08 | = e23 | all_18_7 = e22 | all_18_7 = e21 | all_18_7 = e20) & % 58.43/9.08 | (all_18_8 = e23 | all_18_8 = e22 | all_18_8 = e21 | all_18_8 = e20) & % 58.43/9.08 | (all_18_9 = e23 | all_18_9 = e22 | all_18_9 = e21 | all_18_9 = e20) & % 58.43/9.08 | (all_18_10 = e23 | all_18_10 = e22 | all_18_10 = e21 | all_18_10 = % 58.43/9.08 | e20) & (all_18_11 = e23 | all_18_11 = e22 | all_18_11 = e21 | % 58.43/9.08 | all_18_11 = e20) & (all_18_12 = e23 | all_18_12 = e22 | all_18_12 = % 58.43/9.08 | e21 | all_18_12 = e20) & (all_18_13 = e23 | all_18_13 = e22 | % 58.43/9.08 | all_18_13 = e21 | all_18_13 = e20) & (all_18_14 = e23 | all_18_14 = % 58.43/9.08 | e22 | all_18_14 = e21 | all_18_14 = e20) & (all_18_15 = e23 | % 58.43/9.08 | all_18_15 = e22 | all_18_15 = e21 | all_18_15 = e20) % 58.43/9.08 | % 58.43/9.08 | ALPHA: (221) implies: % 58.43/9.08 | (222) op2(e20, e20) = all_18_15 % 58.43/9.08 | (223) op2(e20, e21) = all_18_14 % 58.43/9.08 | (224) op2(e20, e22) = all_18_13 % 58.43/9.08 | (225) op2(e20, e23) = all_18_12 % 58.43/9.08 | (226) op2(e21, e20) = all_18_11 % 58.43/9.08 | (227) op2(e21, e21) = all_18_10 % 58.43/9.08 | (228) op2(e21, e22) = all_18_9 % 58.43/9.08 | (229) op2(e21, e23) = all_18_8 % 58.43/9.08 | (230) op2(e22, e20) = all_18_7 % 58.43/9.08 | (231) op2(e22, e21) = all_18_6 % 58.43/9.08 | (232) op2(e22, e22) = all_18_5 % 58.43/9.08 | (233) op2(e22, e23) = all_18_4 % 58.43/9.08 | (234) op2(e23, e20) = all_18_3 % 58.43/9.08 | (235) op2(e23, e21) = all_18_2 % 58.43/9.08 | (236) op2(e23, e22) = all_18_1 % 58.43/9.08 | (237) op2(e23, e23) = all_18_0 % 58.43/9.08 | (238) all_18_13 = e23 | all_18_13 = e22 | all_18_13 = e21 | all_18_13 = e20 % 58.43/9.08 | (239) all_18_12 = e23 | all_18_12 = e22 | all_18_12 = e21 | all_18_12 = e20 % 58.43/9.08 | (240) all_18_11 = e23 | all_18_11 = e22 | all_18_11 = e21 | all_18_11 = e20 % 58.43/9.08 | (241) all_18_10 = e23 | all_18_10 = e22 | all_18_10 = e21 | all_18_10 = e20 % 58.43/9.08 | (242) all_18_9 = e23 | all_18_9 = e22 | all_18_9 = e21 | all_18_9 = e20 % 58.43/9.08 | (243) all_18_8 = e23 | all_18_8 = e22 | all_18_8 = e21 | all_18_8 = e20 % 58.43/9.08 | (244) all_18_6 = e23 | all_18_6 = e22 | all_18_6 = e21 | all_18_6 = e20 % 58.43/9.09 | (245) all_18_4 = e23 | all_18_4 = e22 | all_18_4 = e21 | all_18_4 = e20 % 58.43/9.09 | (246) all_18_3 = e23 | all_18_3 = e22 | all_18_3 = e21 | all_18_3 = e20 % 58.43/9.09 | (247) all_18_2 = e23 | all_18_2 = e22 | all_18_2 = e21 | all_18_2 = e20 % 58.43/9.09 | (248) all_18_1 = e23 | all_18_1 = e22 | all_18_1 = e21 | all_18_1 = e20 % 58.43/9.09 | (249) all_18_0 = e23 | all_18_0 = e22 | all_18_0 = e21 | all_18_0 = e20 % 58.43/9.09 | % 58.43/9.09 | DELTA: instantiating (13) with fresh symbols all_20_0, all_20_1, all_20_2, % 58.43/9.09 | all_20_3, all_20_4, all_20_5, all_20_6, all_20_7, all_20_8, all_20_9, % 58.43/9.09 | all_20_10, all_20_11, all_20_12, all_20_13, all_20_14, all_20_15 gives: % 58.43/9.09 | (250) op1(e13, e13) = all_20_10 & op1(e13, e12) = all_20_3 & op1(e13, e11) % 58.43/9.09 | = all_20_6 & op1(e13, e10) = all_20_9 & op1(e12, e13) = all_20_0 & % 58.43/9.09 | op1(e12, e12) = all_20_12 & op1(e12, e11) = all_20_7 & op1(e12, e10) % 58.43/9.09 | = all_20_11 & op1(e11, e13) = all_20_1 & op1(e11, e12) = all_20_4 & % 58.43/9.09 | op1(e11, e11) = all_20_14 & op1(e11, e10) = all_20_13 & op1(e10, e13) % 58.43/9.09 | = all_20_2 & op1(e10, e12) = all_20_5 & op1(e10, e11) = all_20_8 & % 58.43/9.09 | op1(e10, e10) = all_20_15 & $i(all_20_0) & $i(all_20_1) & % 58.43/9.09 | $i(all_20_2) & $i(all_20_3) & $i(all_20_4) & $i(all_20_5) & % 58.43/9.09 | $i(all_20_6) & $i(all_20_7) & $i(all_20_8) & $i(all_20_9) & % 58.43/9.09 | $i(all_20_10) & $i(all_20_11) & $i(all_20_12) & $i(all_20_13) & % 58.43/9.09 | $i(all_20_14) & $i(all_20_15) & ((all_20_0 = e12 & all_20_14 = e13 & % 58.43/9.09 | ~ (all_20_1 = e11) & ~ (all_20_12 = e13)) | (all_20_0 = e12 & % 58.43/9.09 | all_20_15 = e13 & ~ (all_20_2 = e10) & ~ (all_20_12 = e13)) | % 58.43/9.09 | (all_20_1 = e11 & all_20_12 = e13 & ~ (all_20_0 = e12) & ~ % 58.43/9.09 | (all_20_14 = e13)) | (all_20_1 = e11 & all_20_15 = e13 & ~ % 58.43/9.09 | (all_20_2 = e10) & ~ (all_20_14 = e13)) | (all_20_2 = e10 & % 58.43/9.09 | all_20_12 = e13 & ~ (all_20_0 = e12) & ~ (all_20_15 = e13)) | % 58.43/9.09 | (all_20_2 = e10 & all_20_14 = e13 & ~ (all_20_1 = e11) & ~ % 58.43/9.09 | (all_20_15 = e13)) | (all_20_3 = e13 & all_20_14 = e12 & ~ % 58.43/9.09 | (all_20_4 = e11) & ~ (all_20_10 = e12)) | (all_20_3 = e13 & % 58.43/9.09 | all_20_15 = e12 & ~ (all_20_5 = e10) & ~ (all_20_10 = e12)) | % 58.43/9.09 | (all_20_4 = e11 & all_20_10 = e12 & ~ (all_20_3 = e13) & ~ % 58.43/9.09 | (all_20_14 = e12)) | (all_20_4 = e11 & all_20_15 = e12 & ~ % 58.43/9.09 | (all_20_5 = e10) & ~ (all_20_14 = e12)) | (all_20_5 = e10 & % 58.43/9.09 | all_20_10 = e12 & ~ (all_20_3 = e13) & ~ (all_20_15 = e12)) | % 58.43/9.09 | (all_20_5 = e10 & all_20_14 = e12 & ~ (all_20_4 = e11) & ~ % 58.43/9.09 | (all_20_15 = e12)) | (all_20_6 = e13 & all_20_12 = e11 & ~ % 58.43/9.09 | (all_20_7 = e12) & ~ (all_20_10 = e11)) | (all_20_6 = e13 & % 58.43/9.09 | all_20_15 = e11 & ~ (all_20_8 = e10) & ~ (all_20_10 = e11)) | % 58.43/9.09 | (all_20_7 = e12 & all_20_10 = e11 & ~ (all_20_6 = e13) & ~ % 58.43/9.09 | (all_20_12 = e11)) | (all_20_7 = e12 & all_20_15 = e11 & ~ % 58.43/9.09 | (all_20_8 = e10) & ~ (all_20_12 = e11)) | (all_20_8 = e10 & % 58.43/9.09 | all_20_10 = e11 & ~ (all_20_6 = e13) & ~ (all_20_15 = e11)) | % 58.43/9.09 | (all_20_8 = e10 & all_20_12 = e11 & ~ (all_20_7 = e12) & ~ % 58.43/9.09 | (all_20_15 = e11)) | (all_20_9 = e13 & all_20_12 = e10 & ~ % 58.43/9.09 | (all_20_10 = e10) & ~ (all_20_11 = e12)) | (all_20_9 = e13 & % 58.43/9.09 | all_20_14 = e10 & ~ (all_20_10 = e10) & ~ (all_20_13 = e11)) | % 58.43/9.09 | (all_20_10 = e10 & all_20_11 = e12 & ~ (all_20_9 = e13) & ~ % 58.43/9.09 | (all_20_12 = e10)) | (all_20_10 = e10 & all_20_13 = e11 & ~ % 58.43/9.09 | (all_20_9 = e13) & ~ (all_20_14 = e10)) | (all_20_11 = e12 & % 58.43/9.09 | all_20_14 = e10 & ~ (all_20_12 = e10) & ~ (all_20_13 = e11)) | % 58.43/9.09 | (all_20_12 = e10 & all_20_13 = e11 & ~ (all_20_11 = e12) & ~ % 58.43/9.09 | (all_20_14 = e10))) & ((all_20_10 = e13 & ( ~ (all_20_12 = e13) | % 58.43/9.09 | all_20_0 = e12) & ( ~ (all_20_14 = e13) | all_20_1 = e11) & ( ~ % 58.43/9.09 | (all_20_15 = e13) | all_20_2 = e10)) | (all_20_12 = e12 & ( ~ % 58.43/9.09 | (all_20_10 = e12) | all_20_3 = e13) & ( ~ (all_20_14 = e12) | % 58.43/9.09 | all_20_4 = e11) & ( ~ (all_20_15 = e12) | all_20_5 = e10)) | % 58.43/9.09 | (all_20_14 = e11 & ( ~ (all_20_10 = e11) | all_20_6 = e13) & ( ~ % 58.43/9.09 | (all_20_12 = e11) | all_20_7 = e12) & ( ~ (all_20_15 = e11) | % 58.43/9.09 | all_20_8 = e10)) | (all_20_15 = e10 & ( ~ (all_20_10 = e10) | % 58.43/9.09 | all_20_9 = e13) & ( ~ (all_20_12 = e10) | all_20_11 = e12) & ( % 58.43/9.09 | ~ (all_20_14 = e10) | all_20_13 = e11))) % 58.43/9.09 | % 58.43/9.09 | ALPHA: (250) implies: % 58.43/9.09 | (251) op1(e10, e10) = all_20_15 % 58.43/9.09 | (252) op1(e10, e11) = all_20_8 % 58.43/9.09 | (253) op1(e10, e12) = all_20_5 % 58.43/9.09 | (254) op1(e10, e13) = all_20_2 % 58.43/9.09 | (255) op1(e11, e10) = all_20_13 % 58.43/9.09 | (256) op1(e11, e11) = all_20_14 % 58.43/9.09 | (257) op1(e11, e12) = all_20_4 % 58.43/9.09 | (258) op1(e11, e13) = all_20_1 % 58.43/9.09 | (259) op1(e12, e10) = all_20_11 % 58.43/9.09 | (260) op1(e12, e11) = all_20_7 % 58.43/9.09 | (261) op1(e12, e12) = all_20_12 % 58.43/9.09 | (262) op1(e12, e13) = all_20_0 % 58.43/9.09 | (263) op1(e13, e10) = all_20_9 % 58.43/9.09 | (264) op1(e13, e11) = all_20_6 % 58.43/9.09 | (265) op1(e13, e12) = all_20_3 % 58.43/9.09 | (266) op1(e13, e13) = all_20_10 % 58.43/9.09 | (267) (all_20_10 = e13 & ( ~ (all_20_12 = e13) | all_20_0 = e12) & ( ~ % 58.43/9.09 | (all_20_14 = e13) | all_20_1 = e11) & ( ~ (all_20_15 = e13) | % 58.43/9.09 | all_20_2 = e10)) | (all_20_12 = e12 & ( ~ (all_20_10 = e12) | % 58.43/9.09 | all_20_3 = e13) & ( ~ (all_20_14 = e12) | all_20_4 = e11) & ( ~ % 58.43/9.09 | (all_20_15 = e12) | all_20_5 = e10)) | (all_20_14 = e11 & ( ~ % 58.43/9.09 | (all_20_10 = e11) | all_20_6 = e13) & ( ~ (all_20_12 = e11) | % 58.43/9.09 | all_20_7 = e12) & ( ~ (all_20_15 = e11) | all_20_8 = e10)) | % 58.43/9.09 | (all_20_15 = e10 & ( ~ (all_20_10 = e10) | all_20_9 = e13) & ( ~ % 58.43/9.09 | (all_20_12 = e10) | all_20_11 = e12) & ( ~ (all_20_14 = e10) | % 58.43/9.09 | all_20_13 = e11)) % 58.43/9.09 | (268) (all_20_0 = e12 & all_20_14 = e13 & ~ (all_20_1 = e11) & ~ % 58.43/9.09 | (all_20_12 = e13)) | (all_20_0 = e12 & all_20_15 = e13 & ~ % 58.43/9.09 | (all_20_2 = e10) & ~ (all_20_12 = e13)) | (all_20_1 = e11 & % 58.43/9.09 | all_20_12 = e13 & ~ (all_20_0 = e12) & ~ (all_20_14 = e13)) | % 58.43/9.09 | (all_20_1 = e11 & all_20_15 = e13 & ~ (all_20_2 = e10) & ~ % 58.43/9.09 | (all_20_14 = e13)) | (all_20_2 = e10 & all_20_12 = e13 & ~ % 58.43/9.09 | (all_20_0 = e12) & ~ (all_20_15 = e13)) | (all_20_2 = e10 & % 58.43/9.09 | all_20_14 = e13 & ~ (all_20_1 = e11) & ~ (all_20_15 = e13)) | % 58.43/9.09 | (all_20_3 = e13 & all_20_14 = e12 & ~ (all_20_4 = e11) & ~ % 58.43/9.09 | (all_20_10 = e12)) | (all_20_3 = e13 & all_20_15 = e12 & ~ % 58.43/9.09 | (all_20_5 = e10) & ~ (all_20_10 = e12)) | (all_20_4 = e11 & % 58.43/9.09 | all_20_10 = e12 & ~ (all_20_3 = e13) & ~ (all_20_14 = e12)) | % 58.43/9.09 | (all_20_4 = e11 & all_20_15 = e12 & ~ (all_20_5 = e10) & ~ % 58.43/9.09 | (all_20_14 = e12)) | (all_20_5 = e10 & all_20_10 = e12 & ~ % 58.43/9.09 | (all_20_3 = e13) & ~ (all_20_15 = e12)) | (all_20_5 = e10 & % 58.43/9.09 | all_20_14 = e12 & ~ (all_20_4 = e11) & ~ (all_20_15 = e12)) | % 58.43/9.09 | (all_20_6 = e13 & all_20_12 = e11 & ~ (all_20_7 = e12) & ~ % 58.43/9.09 | (all_20_10 = e11)) | (all_20_6 = e13 & all_20_15 = e11 & ~ % 58.43/9.09 | (all_20_8 = e10) & ~ (all_20_10 = e11)) | (all_20_7 = e12 & % 58.43/9.09 | all_20_10 = e11 & ~ (all_20_6 = e13) & ~ (all_20_12 = e11)) | % 58.43/9.09 | (all_20_7 = e12 & all_20_15 = e11 & ~ (all_20_8 = e10) & ~ % 58.43/9.09 | (all_20_12 = e11)) | (all_20_8 = e10 & all_20_10 = e11 & ~ % 58.43/9.09 | (all_20_6 = e13) & ~ (all_20_15 = e11)) | (all_20_8 = e10 & % 58.43/9.09 | all_20_12 = e11 & ~ (all_20_7 = e12) & ~ (all_20_15 = e11)) | % 58.43/9.09 | (all_20_9 = e13 & all_20_12 = e10 & ~ (all_20_10 = e10) & ~ % 58.43/9.09 | (all_20_11 = e12)) | (all_20_9 = e13 & all_20_14 = e10 & ~ % 58.43/9.09 | (all_20_10 = e10) & ~ (all_20_13 = e11)) | (all_20_10 = e10 & % 58.43/9.09 | all_20_11 = e12 & ~ (all_20_9 = e13) & ~ (all_20_12 = e10)) | % 58.43/9.09 | (all_20_10 = e10 & all_20_13 = e11 & ~ (all_20_9 = e13) & ~ % 58.43/9.09 | (all_20_14 = e10)) | (all_20_11 = e12 & all_20_14 = e10 & ~ % 58.43/9.09 | (all_20_12 = e10) & ~ (all_20_13 = e11)) | (all_20_12 = e10 & % 58.43/9.09 | all_20_13 = e11 & ~ (all_20_11 = e12) & ~ (all_20_14 = e10)) % 58.43/9.09 | % 58.43/9.09 | DELTA: instantiating (14) with fresh symbols all_22_0, all_22_1, all_22_2, % 58.43/9.09 | all_22_3, all_22_4, all_22_5, all_22_6, all_22_7, all_22_8, all_22_9, % 58.43/9.09 | all_22_10, all_22_11, all_22_12, all_22_13, all_22_14, all_22_15 gives: % 58.43/9.09 | (269) op2(e23, e23) = all_22_10 & op2(e23, e22) = all_22_3 & op2(e23, e21) % 58.43/9.09 | = all_22_6 & op2(e23, e20) = all_22_9 & op2(e22, e23) = all_22_0 & % 58.43/9.09 | op2(e22, e22) = all_22_12 & op2(e22, e21) = all_22_7 & op2(e22, e20) % 58.43/9.09 | = all_22_11 & op2(e21, e23) = all_22_1 & op2(e21, e22) = all_22_4 & % 58.43/9.09 | op2(e21, e21) = all_22_14 & op2(e21, e20) = all_22_13 & op2(e20, e23) % 58.43/9.09 | = all_22_2 & op2(e20, e22) = all_22_5 & op2(e20, e21) = all_22_8 & % 58.43/9.09 | op2(e20, e20) = all_22_15 & $i(all_22_0) & $i(all_22_1) & % 58.43/9.09 | $i(all_22_2) & $i(all_22_3) & $i(all_22_4) & $i(all_22_5) & % 58.43/9.09 | $i(all_22_6) & $i(all_22_7) & $i(all_22_8) & $i(all_22_9) & % 58.43/9.09 | $i(all_22_10) & $i(all_22_11) & $i(all_22_12) & $i(all_22_13) & % 58.43/9.09 | $i(all_22_14) & $i(all_22_15) & ((all_22_0 = e22 & all_22_14 = e23 & % 58.43/9.09 | ~ (all_22_1 = e21) & ~ (all_22_12 = e23)) | (all_22_0 = e22 & % 58.43/9.09 | all_22_15 = e23 & ~ (all_22_2 = e20) & ~ (all_22_12 = e23)) | % 58.43/9.09 | (all_22_1 = e21 & all_22_12 = e23 & ~ (all_22_0 = e22) & ~ % 58.43/9.09 | (all_22_14 = e23)) | (all_22_1 = e21 & all_22_15 = e23 & ~ % 58.43/9.09 | (all_22_2 = e20) & ~ (all_22_14 = e23)) | (all_22_2 = e20 & % 58.43/9.09 | all_22_12 = e23 & ~ (all_22_0 = e22) & ~ (all_22_15 = e23)) | % 58.43/9.09 | (all_22_2 = e20 & all_22_14 = e23 & ~ (all_22_1 = e21) & ~ % 58.43/9.09 | (all_22_15 = e23)) | (all_22_3 = e23 & all_22_14 = e22 & ~ % 58.43/9.09 | (all_22_4 = e21) & ~ (all_22_10 = e22)) | (all_22_3 = e23 & % 58.43/9.09 | all_22_15 = e22 & ~ (all_22_5 = e20) & ~ (all_22_10 = e22)) | % 58.43/9.09 | (all_22_4 = e21 & all_22_10 = e22 & ~ (all_22_3 = e23) & ~ % 58.43/9.09 | (all_22_14 = e22)) | (all_22_4 = e21 & all_22_15 = e22 & ~ % 58.43/9.09 | (all_22_5 = e20) & ~ (all_22_14 = e22)) | (all_22_5 = e20 & % 58.43/9.09 | all_22_10 = e22 & ~ (all_22_3 = e23) & ~ (all_22_15 = e22)) | % 58.43/9.09 | (all_22_5 = e20 & all_22_14 = e22 & ~ (all_22_4 = e21) & ~ % 58.43/9.09 | (all_22_15 = e22)) | (all_22_6 = e23 & all_22_12 = e21 & ~ % 58.43/9.09 | (all_22_7 = e22) & ~ (all_22_10 = e21)) | (all_22_6 = e23 & % 58.43/9.09 | all_22_15 = e21 & ~ (all_22_8 = e20) & ~ (all_22_10 = e21)) | % 58.43/9.09 | (all_22_7 = e22 & all_22_10 = e21 & ~ (all_22_6 = e23) & ~ % 58.43/9.09 | (all_22_12 = e21)) | (all_22_7 = e22 & all_22_15 = e21 & ~ % 58.43/9.09 | (all_22_8 = e20) & ~ (all_22_12 = e21)) | (all_22_8 = e20 & % 58.43/9.10 | all_22_10 = e21 & ~ (all_22_6 = e23) & ~ (all_22_15 = e21)) | % 58.43/9.10 | (all_22_8 = e20 & all_22_12 = e21 & ~ (all_22_7 = e22) & ~ % 58.43/9.10 | (all_22_15 = e21)) | (all_22_9 = e23 & all_22_12 = e20 & ~ % 58.43/9.10 | (all_22_10 = e20) & ~ (all_22_11 = e22)) | (all_22_9 = e23 & % 58.43/9.10 | all_22_14 = e20 & ~ (all_22_10 = e20) & ~ (all_22_13 = e21)) | % 58.43/9.10 | (all_22_10 = e20 & all_22_11 = e22 & ~ (all_22_9 = e23) & ~ % 58.43/9.10 | (all_22_12 = e20)) | (all_22_10 = e20 & all_22_13 = e21 & ~ % 58.43/9.10 | (all_22_9 = e23) & ~ (all_22_14 = e20)) | (all_22_11 = e22 & % 58.43/9.10 | all_22_14 = e20 & ~ (all_22_12 = e20) & ~ (all_22_13 = e21)) | % 58.43/9.10 | (all_22_12 = e20 & all_22_13 = e21 & ~ (all_22_11 = e22) & ~ % 58.43/9.10 | (all_22_14 = e20))) & ((all_22_10 = e23 & ( ~ (all_22_12 = e23) | % 58.43/9.10 | all_22_0 = e22) & ( ~ (all_22_14 = e23) | all_22_1 = e21) & ( ~ % 58.43/9.10 | (all_22_15 = e23) | all_22_2 = e20)) | (all_22_12 = e22 & ( ~ % 58.43/9.10 | (all_22_10 = e22) | all_22_3 = e23) & ( ~ (all_22_14 = e22) | % 58.43/9.10 | all_22_4 = e21) & ( ~ (all_22_15 = e22) | all_22_5 = e20)) | % 58.43/9.10 | (all_22_14 = e21 & ( ~ (all_22_10 = e21) | all_22_6 = e23) & ( ~ % 58.43/9.10 | (all_22_12 = e21) | all_22_7 = e22) & ( ~ (all_22_15 = e21) | % 58.43/9.10 | all_22_8 = e20)) | (all_22_15 = e20 & ( ~ (all_22_10 = e20) | % 58.43/9.10 | all_22_9 = e23) & ( ~ (all_22_12 = e20) | all_22_11 = e22) & ( % 58.43/9.10 | ~ (all_22_14 = e20) | all_22_13 = e21))) % 58.43/9.10 | % 58.43/9.10 | ALPHA: (269) implies: % 58.43/9.10 | (270) op2(e20, e20) = all_22_15 % 58.43/9.10 | (271) op2(e20, e21) = all_22_8 % 58.43/9.10 | (272) op2(e20, e22) = all_22_5 % 58.43/9.10 | (273) op2(e20, e23) = all_22_2 % 58.43/9.10 | (274) op2(e21, e20) = all_22_13 % 58.43/9.10 | (275) op2(e21, e21) = all_22_14 % 58.43/9.10 | (276) op2(e21, e22) = all_22_4 % 58.43/9.10 | (277) op2(e21, e23) = all_22_1 % 58.43/9.10 | (278) op2(e22, e20) = all_22_11 % 58.43/9.10 | (279) op2(e22, e21) = all_22_7 % 58.43/9.10 | (280) op2(e22, e22) = all_22_12 % 58.43/9.10 | (281) op2(e22, e23) = all_22_0 % 58.43/9.10 | (282) op2(e23, e20) = all_22_9 % 58.43/9.10 | (283) op2(e23, e21) = all_22_6 % 58.43/9.10 | (284) op2(e23, e22) = all_22_3 % 58.43/9.10 | (285) op2(e23, e23) = all_22_10 % 58.43/9.10 | (286) (all_22_10 = e23 & ( ~ (all_22_12 = e23) | all_22_0 = e22) & ( ~ % 58.43/9.10 | (all_22_14 = e23) | all_22_1 = e21) & ( ~ (all_22_15 = e23) | % 58.43/9.10 | all_22_2 = e20)) | (all_22_12 = e22 & ( ~ (all_22_10 = e22) | % 58.43/9.10 | all_22_3 = e23) & ( ~ (all_22_14 = e22) | all_22_4 = e21) & ( ~ % 58.43/9.10 | (all_22_15 = e22) | all_22_5 = e20)) | (all_22_14 = e21 & ( ~ % 58.43/9.10 | (all_22_10 = e21) | all_22_6 = e23) & ( ~ (all_22_12 = e21) | % 58.43/9.10 | all_22_7 = e22) & ( ~ (all_22_15 = e21) | all_22_8 = e20)) | % 58.43/9.10 | (all_22_15 = e20 & ( ~ (all_22_10 = e20) | all_22_9 = e23) & ( ~ % 58.43/9.10 | (all_22_12 = e20) | all_22_11 = e22) & ( ~ (all_22_14 = e20) | % 58.43/9.10 | all_22_13 = e21)) % 58.43/9.10 | (287) (all_22_0 = e22 & all_22_14 = e23 & ~ (all_22_1 = e21) & ~ % 58.43/9.10 | (all_22_12 = e23)) | (all_22_0 = e22 & all_22_15 = e23 & ~ % 58.43/9.10 | (all_22_2 = e20) & ~ (all_22_12 = e23)) | (all_22_1 = e21 & % 58.43/9.10 | all_22_12 = e23 & ~ (all_22_0 = e22) & ~ (all_22_14 = e23)) | % 58.43/9.10 | (all_22_1 = e21 & all_22_15 = e23 & ~ (all_22_2 = e20) & ~ % 58.43/9.10 | (all_22_14 = e23)) | (all_22_2 = e20 & all_22_12 = e23 & ~ % 58.43/9.10 | (all_22_0 = e22) & ~ (all_22_15 = e23)) | (all_22_2 = e20 & % 58.43/9.10 | all_22_14 = e23 & ~ (all_22_1 = e21) & ~ (all_22_15 = e23)) | % 58.43/9.10 | (all_22_3 = e23 & all_22_14 = e22 & ~ (all_22_4 = e21) & ~ % 58.43/9.10 | (all_22_10 = e22)) | (all_22_3 = e23 & all_22_15 = e22 & ~ % 58.43/9.10 | (all_22_5 = e20) & ~ (all_22_10 = e22)) | (all_22_4 = e21 & % 58.43/9.10 | all_22_10 = e22 & ~ (all_22_3 = e23) & ~ (all_22_14 = e22)) | % 58.43/9.10 | (all_22_4 = e21 & all_22_15 = e22 & ~ (all_22_5 = e20) & ~ % 58.43/9.10 | (all_22_14 = e22)) | (all_22_5 = e20 & all_22_10 = e22 & ~ % 58.43/9.10 | (all_22_3 = e23) & ~ (all_22_15 = e22)) | (all_22_5 = e20 & % 58.43/9.10 | all_22_14 = e22 & ~ (all_22_4 = e21) & ~ (all_22_15 = e22)) | % 58.43/9.10 | (all_22_6 = e23 & all_22_12 = e21 & ~ (all_22_7 = e22) & ~ % 58.43/9.10 | (all_22_10 = e21)) | (all_22_6 = e23 & all_22_15 = e21 & ~ % 58.43/9.10 | (all_22_8 = e20) & ~ (all_22_10 = e21)) | (all_22_7 = e22 & % 58.43/9.10 | all_22_10 = e21 & ~ (all_22_6 = e23) & ~ (all_22_12 = e21)) | % 58.43/9.10 | (all_22_7 = e22 & all_22_15 = e21 & ~ (all_22_8 = e20) & ~ % 58.43/9.10 | (all_22_12 = e21)) | (all_22_8 = e20 & all_22_10 = e21 & ~ % 58.43/9.10 | (all_22_6 = e23) & ~ (all_22_15 = e21)) | (all_22_8 = e20 & % 58.43/9.10 | all_22_12 = e21 & ~ (all_22_7 = e22) & ~ (all_22_15 = e21)) | % 58.43/9.10 | (all_22_9 = e23 & all_22_12 = e20 & ~ (all_22_10 = e20) & ~ % 58.43/9.10 | (all_22_11 = e22)) | (all_22_9 = e23 & all_22_14 = e20 & ~ % 58.43/9.10 | (all_22_10 = e20) & ~ (all_22_13 = e21)) | (all_22_10 = e20 & % 58.43/9.10 | all_22_11 = e22 & ~ (all_22_9 = e23) & ~ (all_22_12 = e20)) | % 58.43/9.10 | (all_22_10 = e20 & all_22_13 = e21 & ~ (all_22_9 = e23) & ~ % 58.43/9.10 | (all_22_14 = e20)) | (all_22_11 = e22 & all_22_14 = e20 & ~ % 58.43/9.10 | (all_22_12 = e20) & ~ (all_22_13 = e21)) | (all_22_12 = e20 & % 58.43/9.10 | all_22_13 = e21 & ~ (all_22_11 = e22) & ~ (all_22_14 = e20)) % 58.43/9.10 | % 58.43/9.10 | DELTA: instantiating (2) with fresh symbols all_24_0, all_24_1, all_24_2, % 58.43/9.10 | all_24_3, all_24_4, all_24_5, all_24_6, all_24_7, all_24_8, all_24_9, % 58.43/9.10 | all_24_10, all_24_11, all_24_12, all_24_13, all_24_14, all_24_15 gives: % 58.43/9.10 | (288) op1(e13, e13) = all_24_0 & op1(e13, e12) = all_24_1 & op1(e13, e11) = % 58.43/9.10 | all_24_4 & op1(e13, e10) = all_24_9 & op1(e12, e13) = all_24_2 & % 58.43/9.10 | op1(e12, e12) = all_24_3 & op1(e12, e11) = all_24_5 & op1(e12, e10) = % 58.43/9.10 | all_24_10 & op1(e11, e13) = all_24_6 & op1(e11, e12) = all_24_7 & % 58.43/9.10 | op1(e11, e11) = all_24_8 & op1(e11, e10) = all_24_11 & op1(e10, e13) % 58.43/9.10 | = all_24_12 & op1(e10, e12) = all_24_13 & op1(e10, e11) = all_24_14 & % 58.43/9.10 | op1(e10, e10) = all_24_15 & $i(all_24_0) & $i(all_24_1) & % 58.43/9.10 | $i(all_24_2) & $i(all_24_3) & $i(all_24_4) & $i(all_24_5) & % 58.43/9.10 | $i(all_24_6) & $i(all_24_7) & $i(all_24_8) & $i(all_24_9) & % 58.43/9.10 | $i(all_24_10) & $i(all_24_11) & $i(all_24_12) & $i(all_24_13) & % 58.43/9.10 | $i(all_24_14) & $i(all_24_15) & (all_24_0 = e13 | all_24_1 = e13 | % 58.43/9.10 | all_24_4 = e13 | all_24_9 = e13) & (all_24_0 = e13 | all_24_2 = e13 % 58.43/9.10 | | all_24_6 = e13 | all_24_12 = e13) & (all_24_0 = e12 | all_24_1 = % 58.43/9.10 | e12 | all_24_4 = e12 | all_24_9 = e12) & (all_24_0 = e12 | all_24_2 % 58.43/9.10 | = e12 | all_24_6 = e12 | all_24_12 = e12) & (all_24_0 = e11 | % 58.43/9.10 | all_24_1 = e11 | all_24_4 = e11 | all_24_9 = e11) & (all_24_0 = e11 % 58.43/9.10 | | all_24_2 = e11 | all_24_6 = e11 | all_24_12 = e11) & (all_24_0 = % 58.43/9.10 | e10 | all_24_1 = e10 | all_24_4 = e10 | all_24_9 = e10) & (all_24_0 % 58.43/9.10 | = e10 | all_24_2 = e10 | all_24_6 = e10 | all_24_12 = e10) & % 58.43/9.10 | (all_24_1 = e13 | all_24_3 = e13 | all_24_7 = e13 | all_24_13 = e13) % 58.43/9.10 | & (all_24_1 = e12 | all_24_3 = e12 | all_24_7 = e12 | all_24_13 = % 58.43/9.10 | e12) & (all_24_1 = e11 | all_24_3 = e11 | all_24_7 = e11 | % 58.43/9.10 | all_24_13 = e11) & (all_24_1 = e10 | all_24_3 = e10 | all_24_7 = % 58.43/9.10 | e10 | all_24_13 = e10) & (all_24_2 = e13 | all_24_3 = e13 | % 58.43/9.10 | all_24_5 = e13 | all_24_10 = e13) & (all_24_2 = e12 | all_24_3 = % 58.43/9.10 | e12 | all_24_5 = e12 | all_24_10 = e12) & (all_24_2 = e11 | % 58.43/9.10 | all_24_3 = e11 | all_24_5 = e11 | all_24_10 = e11) & (all_24_2 = % 58.43/9.10 | e10 | all_24_3 = e10 | all_24_5 = e10 | all_24_10 = e10) & % 58.43/9.10 | (all_24_4 = e13 | all_24_5 = e13 | all_24_8 = e13 | all_24_14 = e13) % 58.43/9.10 | & (all_24_4 = e12 | all_24_5 = e12 | all_24_8 = e12 | all_24_14 = % 58.43/9.10 | e12) & (all_24_4 = e11 | all_24_5 = e11 | all_24_8 = e11 | % 58.43/9.10 | all_24_14 = e11) & (all_24_4 = e10 | all_24_5 = e10 | all_24_8 = % 58.43/9.10 | e10 | all_24_14 = e10) & (all_24_6 = e13 | all_24_7 = e13 | % 58.43/9.10 | all_24_8 = e13 | all_24_11 = e13) & (all_24_6 = e12 | all_24_7 = % 58.43/9.10 | e12 | all_24_8 = e12 | all_24_11 = e12) & (all_24_6 = e11 | % 58.43/9.10 | all_24_7 = e11 | all_24_8 = e11 | all_24_11 = e11) & (all_24_6 = % 58.43/9.10 | e10 | all_24_7 = e10 | all_24_8 = e10 | all_24_11 = e10) & % 58.43/9.10 | (all_24_9 = e13 | all_24_10 = e13 | all_24_11 = e13 | all_24_15 = % 58.43/9.10 | e13) & (all_24_9 = e12 | all_24_10 = e12 | all_24_11 = e12 | % 58.43/9.10 | all_24_15 = e12) & (all_24_9 = e11 | all_24_10 = e11 | all_24_11 = % 58.43/9.10 | e11 | all_24_15 = e11) & (all_24_12 = e13 | all_24_13 = e13 | % 58.43/9.10 | all_24_14 = e13 | all_24_15 = e13) & (all_24_12 = e12 | all_24_13 = % 58.43/9.10 | e12 | all_24_14 = e12 | all_24_15 = e12) & (all_24_12 = e11 | % 58.43/9.10 | all_24_13 = e11 | all_24_14 = e11 | all_24_15 = e11) & (all_24_15 = % 58.43/9.10 | e10 | ((all_24_9 = e10 | all_24_10 = e10 | all_24_11 = e10) & % 58.43/9.10 | (all_24_12 = e10 | all_24_13 = e10 | all_24_14 = e10))) % 58.43/9.10 | % 58.43/9.10 | ALPHA: (288) implies: % 58.43/9.10 | (289) op1(e10, e10) = all_24_15 % 58.43/9.10 | (290) op1(e10, e11) = all_24_14 % 58.43/9.10 | (291) op1(e10, e12) = all_24_13 % 58.43/9.10 | (292) op1(e10, e13) = all_24_12 % 58.43/9.10 | (293) op1(e11, e10) = all_24_11 % 58.43/9.10 | (294) op1(e11, e11) = all_24_8 % 58.43/9.10 | (295) op1(e11, e12) = all_24_7 % 58.43/9.10 | (296) op1(e11, e13) = all_24_6 % 58.43/9.10 | (297) op1(e12, e10) = all_24_10 % 58.43/9.10 | (298) op1(e12, e11) = all_24_5 % 58.43/9.10 | (299) op1(e12, e12) = all_24_3 % 58.43/9.10 | (300) op1(e12, e13) = all_24_2 % 58.43/9.10 | (301) op1(e13, e10) = all_24_9 % 58.43/9.10 | (302) op1(e13, e11) = all_24_4 % 58.43/9.10 | (303) op1(e13, e12) = all_24_1 % 58.43/9.10 | (304) op1(e13, e13) = all_24_0 % 58.43/9.10 | (305) all_24_15 = e10 | ((all_24_9 = e10 | all_24_10 = e10 | all_24_11 = % 58.43/9.10 | e10) & (all_24_12 = e10 | all_24_13 = e10 | all_24_14 = e10)) % 58.43/9.10 | (306) all_24_12 = e13 | all_24_13 = e13 | all_24_14 = e13 | all_24_15 = e13 % 58.43/9.10 | (307) all_24_9 = e12 | all_24_10 = e12 | all_24_11 = e12 | all_24_15 = e12 % 58.43/9.10 | (308) all_24_6 = e10 | all_24_7 = e10 | all_24_8 = e10 | all_24_11 = e10 % 58.43/9.10 | (309) all_24_6 = e12 | all_24_7 = e12 | all_24_8 = e12 | all_24_11 = e12 % 58.43/9.10 | (310) all_24_4 = e10 | all_24_5 = e10 | all_24_8 = e10 | all_24_14 = e10 % 58.43/9.10 | (311) all_24_4 = e11 | all_24_5 = e11 | all_24_8 = e11 | all_24_14 = e11 % 58.43/9.10 | (312) all_24_4 = e13 | all_24_5 = e13 | all_24_8 = e13 | all_24_14 = e13 % 58.43/9.10 | (313) all_24_2 = e10 | all_24_3 = e10 | all_24_5 = e10 | all_24_10 = e10 % 58.43/9.10 | (314) all_24_2 = e11 | all_24_3 = e11 | all_24_5 = e11 | all_24_10 = e11 % 58.43/9.10 | (315) all_24_1 = e10 | all_24_3 = e10 | all_24_7 = e10 | all_24_13 = e10 % 58.43/9.10 | (316) all_24_1 = e11 | all_24_3 = e11 | all_24_7 = e11 | all_24_13 = e11 % 58.43/9.10 | (317) all_24_0 = e10 | all_24_1 = e10 | all_24_4 = e10 | all_24_9 = e10 % 58.43/9.10 | (318) all_24_0 = e11 | all_24_2 = e11 | all_24_6 = e11 | all_24_12 = e11 % 58.43/9.10 | (319) all_24_0 = e12 | all_24_2 = e12 | all_24_6 = e12 | all_24_12 = e12 % 58.43/9.10 | (320) all_24_0 = e12 | all_24_1 = e12 | all_24_4 = e12 | all_24_9 = e12 % 58.43/9.10 | (321) all_24_0 = e13 | all_24_2 = e13 | all_24_6 = e13 | all_24_12 = e13 % 58.43/9.10 | % 58.43/9.10 | DELTA: instantiating (4) with fresh symbols all_26_0, all_26_1, all_26_2, % 58.43/9.10 | all_26_3, all_26_4, all_26_5, all_26_6, all_26_7, all_26_8, all_26_9, % 58.43/9.10 | all_26_10, all_26_11, all_26_12, all_26_13, all_26_14, all_26_15 gives: % 58.43/9.10 | (322) op2(e23, e23) = all_26_0 & op2(e23, e22) = all_26_1 & op2(e23, e21) = % 58.43/9.10 | all_26_4 & op2(e23, e20) = all_26_9 & op2(e22, e23) = all_26_2 & % 58.43/9.10 | op2(e22, e22) = all_26_3 & op2(e22, e21) = all_26_5 & op2(e22, e20) = % 58.43/9.10 | all_26_10 & op2(e21, e23) = all_26_6 & op2(e21, e22) = all_26_7 & % 58.43/9.10 | op2(e21, e21) = all_26_8 & op2(e21, e20) = all_26_11 & op2(e20, e23) % 58.43/9.10 | = all_26_12 & op2(e20, e22) = all_26_13 & op2(e20, e21) = all_26_14 & % 58.43/9.10 | op2(e20, e20) = all_26_15 & $i(all_26_0) & $i(all_26_1) & % 58.43/9.10 | $i(all_26_2) & $i(all_26_3) & $i(all_26_4) & $i(all_26_5) & % 58.43/9.10 | $i(all_26_6) & $i(all_26_7) & $i(all_26_8) & $i(all_26_9) & % 58.43/9.10 | $i(all_26_10) & $i(all_26_11) & $i(all_26_12) & $i(all_26_13) & % 58.43/9.10 | $i(all_26_14) & $i(all_26_15) & (all_26_0 = e23 | all_26_1 = e23 | % 58.43/9.10 | all_26_4 = e23 | all_26_9 = e23) & (all_26_0 = e23 | all_26_2 = e23 % 58.43/9.10 | | all_26_6 = e23 | all_26_12 = e23) & (all_26_0 = e22 | all_26_1 = % 58.43/9.10 | e22 | all_26_4 = e22 | all_26_9 = e22) & (all_26_0 = e22 | all_26_2 % 58.43/9.10 | = e22 | all_26_6 = e22 | all_26_12 = e22) & (all_26_0 = e21 | % 58.43/9.10 | all_26_1 = e21 | all_26_4 = e21 | all_26_9 = e21) & (all_26_0 = e21 % 58.43/9.10 | | all_26_2 = e21 | all_26_6 = e21 | all_26_12 = e21) & (all_26_0 = % 58.43/9.10 | e20 | all_26_1 = e20 | all_26_4 = e20 | all_26_9 = e20) & (all_26_0 % 58.43/9.10 | = e20 | all_26_2 = e20 | all_26_6 = e20 | all_26_12 = e20) & % 58.43/9.10 | (all_26_1 = e23 | all_26_3 = e23 | all_26_7 = e23 | all_26_13 = e23) % 58.43/9.10 | & (all_26_1 = e22 | all_26_3 = e22 | all_26_7 = e22 | all_26_13 = % 58.43/9.10 | e22) & (all_26_1 = e21 | all_26_3 = e21 | all_26_7 = e21 | % 58.43/9.10 | all_26_13 = e21) & (all_26_1 = e20 | all_26_3 = e20 | all_26_7 = % 58.43/9.10 | e20 | all_26_13 = e20) & (all_26_2 = e23 | all_26_3 = e23 | % 58.43/9.10 | all_26_5 = e23 | all_26_10 = e23) & (all_26_2 = e22 | all_26_3 = % 58.43/9.10 | e22 | all_26_5 = e22 | all_26_10 = e22) & (all_26_2 = e21 | % 58.43/9.10 | all_26_3 = e21 | all_26_5 = e21 | all_26_10 = e21) & (all_26_2 = % 58.43/9.10 | e20 | all_26_3 = e20 | all_26_5 = e20 | all_26_10 = e20) & % 58.43/9.10 | (all_26_4 = e23 | all_26_5 = e23 | all_26_8 = e23 | all_26_14 = e23) % 58.43/9.10 | & (all_26_4 = e22 | all_26_5 = e22 | all_26_8 = e22 | all_26_14 = % 58.43/9.10 | e22) & (all_26_4 = e21 | all_26_5 = e21 | all_26_8 = e21 | % 58.43/9.10 | all_26_14 = e21) & (all_26_4 = e20 | all_26_5 = e20 | all_26_8 = % 58.43/9.10 | e20 | all_26_14 = e20) & (all_26_6 = e23 | all_26_7 = e23 | % 58.43/9.10 | all_26_8 = e23 | all_26_11 = e23) & (all_26_6 = e22 | all_26_7 = % 58.43/9.10 | e22 | all_26_8 = e22 | all_26_11 = e22) & (all_26_6 = e21 | % 58.43/9.10 | all_26_7 = e21 | all_26_8 = e21 | all_26_11 = e21) & (all_26_6 = % 58.43/9.10 | e20 | all_26_7 = e20 | all_26_8 = e20 | all_26_11 = e20) & % 58.43/9.10 | (all_26_9 = e23 | all_26_10 = e23 | all_26_11 = e23 | all_26_15 = % 58.43/9.10 | e23) & (all_26_9 = e22 | all_26_10 = e22 | all_26_11 = e22 | % 58.43/9.10 | all_26_15 = e22) & (all_26_9 = e21 | all_26_10 = e21 | all_26_11 = % 58.43/9.10 | e21 | all_26_15 = e21) & (all_26_12 = e23 | all_26_13 = e23 | % 58.43/9.10 | all_26_14 = e23 | all_26_15 = e23) & (all_26_12 = e22 | all_26_13 = % 58.43/9.10 | e22 | all_26_14 = e22 | all_26_15 = e22) & (all_26_12 = e21 | % 58.43/9.10 | all_26_13 = e21 | all_26_14 = e21 | all_26_15 = e21) & (all_26_15 = % 58.43/9.10 | e20 | ((all_26_9 = e20 | all_26_10 = e20 | all_26_11 = e20) & % 58.43/9.10 | (all_26_12 = e20 | all_26_13 = e20 | all_26_14 = e20))) % 58.43/9.10 | % 58.43/9.10 | ALPHA: (322) implies: % 58.43/9.10 | (323) op2(e20, e20) = all_26_15 % 58.43/9.10 | (324) op2(e20, e21) = all_26_14 % 58.43/9.10 | (325) op2(e20, e22) = all_26_13 % 58.43/9.11 | (326) op2(e20, e23) = all_26_12 % 58.43/9.11 | (327) op2(e21, e20) = all_26_11 % 58.43/9.11 | (328) op2(e21, e21) = all_26_8 % 58.43/9.11 | (329) op2(e21, e22) = all_26_7 % 58.43/9.11 | (330) op2(e21, e23) = all_26_6 % 58.43/9.11 | (331) op2(e22, e20) = all_26_10 % 58.43/9.11 | (332) op2(e22, e21) = all_26_5 % 58.43/9.11 | (333) op2(e22, e22) = all_26_3 % 58.43/9.11 | (334) op2(e22, e23) = all_26_2 % 58.43/9.11 | (335) op2(e23, e20) = all_26_9 % 58.43/9.11 | (336) op2(e23, e21) = all_26_4 % 58.43/9.11 | (337) op2(e23, e22) = all_26_1 % 58.43/9.11 | (338) op2(e23, e23) = all_26_0 % 58.43/9.11 | (339) all_26_15 = e20 | ((all_26_9 = e20 | all_26_10 = e20 | all_26_11 = % 58.43/9.11 | e20) & (all_26_12 = e20 | all_26_13 = e20 | all_26_14 = e20)) % 58.43/9.11 | (340) all_26_12 = e23 | all_26_13 = e23 | all_26_14 = e23 | all_26_15 = e23 % 58.43/9.11 | (341) all_26_9 = e22 | all_26_10 = e22 | all_26_11 = e22 | all_26_15 = e22 % 58.43/9.11 | (342) all_26_6 = e20 | all_26_7 = e20 | all_26_8 = e20 | all_26_11 = e20 % 58.43/9.11 | (343) all_26_6 = e22 | all_26_7 = e22 | all_26_8 = e22 | all_26_11 = e22 % 58.43/9.11 | (344) all_26_6 = e23 | all_26_7 = e23 | all_26_8 = e23 | all_26_11 = e23 % 58.43/9.11 | (345) all_26_4 = e20 | all_26_5 = e20 | all_26_8 = e20 | all_26_14 = e20 % 58.43/9.11 | (346) all_26_4 = e21 | all_26_5 = e21 | all_26_8 = e21 | all_26_14 = e21 % 58.43/9.11 | (347) all_26_2 = e20 | all_26_3 = e20 | all_26_5 = e20 | all_26_10 = e20 % 58.43/9.11 | (348) all_26_2 = e21 | all_26_3 = e21 | all_26_5 = e21 | all_26_10 = e21 % 58.43/9.11 | (349) all_26_2 = e22 | all_26_3 = e22 | all_26_5 = e22 | all_26_10 = e22 % 58.43/9.11 | (350) all_26_1 = e20 | all_26_3 = e20 | all_26_7 = e20 | all_26_13 = e20 % 58.43/9.11 | (351) all_26_1 = e21 | all_26_3 = e21 | all_26_7 = e21 | all_26_13 = e21 % 58.43/9.11 | (352) all_26_1 = e22 | all_26_3 = e22 | all_26_7 = e22 | all_26_13 = e22 % 58.43/9.11 | (353) all_26_1 = e23 | all_26_3 = e23 | all_26_7 = e23 | all_26_13 = e23 % 58.43/9.11 | (354) all_26_0 = e20 | all_26_1 = e20 | all_26_4 = e20 | all_26_9 = e20 % 58.43/9.11 | (355) all_26_0 = e21 | all_26_2 = e21 | all_26_6 = e21 | all_26_12 = e21 % 58.43/9.11 | (356) all_26_0 = e21 | all_26_1 = e21 | all_26_4 = e21 | all_26_9 = e21 % 58.43/9.11 | (357) all_26_0 = e22 | all_26_2 = e22 | all_26_6 = e22 | all_26_12 = e22 % 58.43/9.11 | (358) all_26_0 = e22 | all_26_1 = e22 | all_26_4 = e22 | all_26_9 = e22 % 58.43/9.11 | (359) all_26_0 = e23 | all_26_2 = e23 | all_26_6 = e23 | all_26_12 = e23 % 58.43/9.11 | (360) all_26_0 = e23 | all_26_1 = e23 | all_26_4 = e23 | all_26_9 = e23 % 58.43/9.11 | % 58.43/9.11 | DELTA: instantiating (25) with fresh symbols all_28_0, all_28_1, all_28_2, % 58.43/9.11 | all_28_3, all_28_4, all_28_5, all_28_6, all_28_7, all_28_8, all_28_9, % 58.43/9.11 | all_28_10, all_28_11, all_28_12, all_28_13, all_28_14, all_28_15, % 58.43/9.11 | all_28_16, all_28_17, all_28_18, all_28_19, all_28_20, all_28_21, % 58.43/9.11 | all_28_22, all_28_23, all_28_24, all_28_25, all_28_26, all_28_27, % 58.43/9.11 | all_28_28, all_28_29, all_28_30, all_28_31, all_28_32, all_28_33, % 58.43/9.11 | all_28_34, all_28_35, all_28_36, all_28_37, all_28_38, all_28_39, % 58.43/9.11 | all_28_40, all_28_41, all_28_42, all_28_43, all_28_44, all_28_45, % 58.43/9.11 | all_28_46, all_28_47, all_28_48, all_28_49, all_28_50, all_28_51, % 58.43/9.11 | all_28_52, all_28_53, all_28_54, all_28_55, all_28_56, all_28_57, % 58.43/9.11 | all_28_58, all_28_59, all_28_60, all_28_61, all_28_62, all_28_63, % 58.43/9.11 | all_28_64, all_28_65, all_28_66, all_28_67, all_28_68, all_28_69, % 58.43/9.11 | all_28_70, all_28_71, all_28_72, all_28_73, all_28_74, all_28_75, % 58.43/9.11 | all_28_76, all_28_77, all_28_78, all_28_79, all_28_80, all_28_81, % 58.43/9.11 | all_28_82, all_28_83, all_28_84, all_28_85, all_28_86, all_28_87, % 58.43/9.11 | all_28_88, all_28_89, all_28_90, all_28_91, all_28_92, all_28_93, % 58.43/9.11 | all_28_94, all_28_95, all_28_96, all_28_97, all_28_98, all_28_99, % 58.43/9.11 | all_28_100, all_28_101, all_28_102, all_28_103, all_28_104, all_28_105, % 58.43/9.11 | all_28_106, all_28_107, all_28_108, all_28_109, all_28_110, all_28_111, % 58.43/9.11 | all_28_112, all_28_113, all_28_114, all_28_115, all_28_116, all_28_117, % 58.43/9.11 | all_28_118, all_28_119, all_28_120, all_28_121, all_28_122, all_28_123, % 58.43/9.11 | all_28_124, all_28_125, all_28_126, all_28_127, all_28_128, all_28_129, % 58.43/9.11 | all_28_130, all_28_131, all_28_132, all_28_133, all_28_134, all_28_135, % 58.43/9.11 | all_28_136, all_28_137, all_28_138, all_28_139, all_28_140, all_28_141, % 58.43/9.11 | all_28_142, all_28_143, all_28_144, all_28_145, all_28_146, all_28_147, % 58.43/9.11 | all_28_148, all_28_149, all_28_150, all_28_151, all_28_152, all_28_153, % 58.43/9.11 | all_28_154, all_28_155, all_28_156, all_28_157, all_28_158, all_28_159 % 58.43/9.11 | gives: % 58.43/9.11 | (361) h4(all_28_110) = all_28_1 & h4(all_28_113) = all_28_3 & % 58.43/9.11 | h4(all_28_116) = all_28_5 & h4(all_28_119) = all_28_7 & % 58.43/9.11 | h4(all_28_122) = all_28_9 & h4(all_28_125) = all_28_11 & % 58.43/9.11 | h4(all_28_128) = all_28_13 & h4(all_28_131) = all_28_15 & % 58.43/9.11 | h4(all_28_134) = all_28_17 & h4(all_28_137) = all_28_19 & % 58.43/9.11 | h4(all_28_140) = all_28_21 & h4(all_28_143) = all_28_23 & % 58.43/9.11 | h4(all_28_147) = all_28_26 & h4(all_28_151) = all_28_29 & % 58.43/9.11 | h4(all_28_155) = all_28_32 & h4(all_28_159) = all_28_35 & h4(e13) = % 58.43/9.11 | all_28_25 & h4(e12) = all_28_28 & h4(e11) = all_28_31 & h4(e10) = % 58.43/9.11 | all_28_34 & h3(all_28_110) = all_28_37 & h3(all_28_113) = all_28_39 & % 58.43/9.11 | h3(all_28_116) = all_28_41 & h3(all_28_119) = all_28_43 & % 58.43/9.11 | h3(all_28_122) = all_28_45 & h3(all_28_125) = all_28_47 & % 58.43/9.11 | h3(all_28_128) = all_28_49 & h3(all_28_131) = all_28_51 & % 58.43/9.11 | h3(all_28_134) = all_28_53 & h3(all_28_137) = all_28_55 & % 58.43/9.11 | h3(all_28_140) = all_28_57 & h3(all_28_143) = all_28_59 & % 58.43/9.11 | h3(all_28_147) = all_28_62 & h3(all_28_151) = all_28_65 & % 58.43/9.11 | h3(all_28_155) = all_28_68 & h3(all_28_159) = all_28_71 & h3(e13) = % 58.43/9.11 | all_28_61 & h3(e12) = all_28_64 & h3(e11) = all_28_67 & h3(e10) = % 58.43/9.11 | all_28_70 & h2(all_28_110) = all_28_73 & h2(all_28_113) = all_28_75 & % 58.43/9.11 | h2(all_28_116) = all_28_77 & h2(all_28_119) = all_28_79 & % 58.43/9.11 | h2(all_28_122) = all_28_81 & h2(all_28_125) = all_28_83 & % 58.43/9.11 | h2(all_28_128) = all_28_85 & h2(all_28_131) = all_28_87 & % 58.43/9.11 | h2(all_28_134) = all_28_89 & h2(all_28_137) = all_28_91 & % 58.43/9.11 | h2(all_28_140) = all_28_93 & h2(all_28_143) = all_28_95 & % 58.43/9.11 | h2(all_28_147) = all_28_98 & h2(all_28_151) = all_28_101 & % 58.43/9.11 | h2(all_28_155) = all_28_104 & h2(all_28_159) = all_28_107 & h2(e13) = % 58.43/9.11 | all_28_97 & h2(e12) = all_28_100 & h2(e11) = all_28_103 & h2(e10) = % 58.43/9.11 | all_28_106 & h1(all_28_110) = all_28_109 & h1(all_28_113) = % 58.43/9.11 | all_28_112 & h1(all_28_116) = all_28_115 & h1(all_28_119) = % 58.43/9.11 | all_28_118 & h1(all_28_122) = all_28_121 & h1(all_28_125) = % 58.43/9.11 | all_28_124 & h1(all_28_128) = all_28_127 & h1(all_28_131) = % 58.43/9.11 | all_28_130 & h1(all_28_134) = all_28_133 & h1(all_28_137) = % 58.43/9.11 | all_28_136 & h1(all_28_140) = all_28_139 & h1(all_28_143) = % 58.43/9.11 | all_28_142 & h1(all_28_147) = all_28_146 & h1(all_28_151) = % 58.43/9.11 | all_28_150 & h1(all_28_155) = all_28_154 & h1(all_28_159) = % 58.43/9.11 | all_28_158 & h1(e13) = all_28_145 & h1(e12) = all_28_149 & h1(e11) = % 58.43/9.11 | all_28_153 & h1(e10) = all_28_157 & op2(all_28_25, all_28_25) = % 58.43/9.11 | all_28_0 & op2(all_28_25, all_28_28) = all_28_2 & op2(all_28_25, % 58.43/9.11 | all_28_31) = all_28_4 & op2(all_28_25, all_28_34) = all_28_6 & % 58.43/9.11 | op2(all_28_28, all_28_25) = all_28_8 & op2(all_28_28, all_28_28) = % 58.43/9.11 | all_28_10 & op2(all_28_28, all_28_31) = all_28_12 & op2(all_28_28, % 58.43/9.11 | all_28_34) = all_28_14 & op2(all_28_31, all_28_25) = all_28_16 & % 58.43/9.11 | op2(all_28_31, all_28_28) = all_28_18 & op2(all_28_31, all_28_31) = % 58.43/9.11 | all_28_20 & op2(all_28_31, all_28_34) = all_28_22 & op2(all_28_34, % 58.43/9.11 | all_28_25) = all_28_24 & op2(all_28_34, all_28_28) = all_28_27 & % 58.43/9.11 | op2(all_28_34, all_28_31) = all_28_30 & op2(all_28_34, all_28_34) = % 58.43/9.11 | all_28_33 & op2(all_28_61, all_28_61) = all_28_36 & op2(all_28_61, % 58.43/9.11 | all_28_64) = all_28_38 & op2(all_28_61, all_28_67) = all_28_40 & % 58.43/9.11 | op2(all_28_61, all_28_70) = all_28_42 & op2(all_28_64, all_28_61) = % 58.43/9.11 | all_28_44 & op2(all_28_64, all_28_64) = all_28_46 & op2(all_28_64, % 58.43/9.11 | all_28_67) = all_28_48 & op2(all_28_64, all_28_70) = all_28_50 & % 58.43/9.11 | op2(all_28_67, all_28_61) = all_28_52 & op2(all_28_67, all_28_64) = % 58.43/9.11 | all_28_54 & op2(all_28_67, all_28_67) = all_28_56 & op2(all_28_67, % 58.43/9.11 | all_28_70) = all_28_58 & op2(all_28_70, all_28_61) = all_28_60 & % 58.43/9.11 | op2(all_28_70, all_28_64) = all_28_63 & op2(all_28_70, all_28_67) = % 58.43/9.11 | all_28_66 & op2(all_28_70, all_28_70) = all_28_69 & op2(all_28_97, % 58.43/9.11 | all_28_97) = all_28_72 & op2(all_28_97, all_28_100) = all_28_74 & % 58.43/9.11 | op2(all_28_97, all_28_103) = all_28_76 & op2(all_28_97, all_28_106) = % 58.43/9.11 | all_28_78 & op2(all_28_100, all_28_97) = all_28_80 & op2(all_28_100, % 58.43/9.11 | all_28_100) = all_28_82 & op2(all_28_100, all_28_103) = all_28_84 & % 58.43/9.11 | op2(all_28_100, all_28_106) = all_28_86 & op2(all_28_103, all_28_97) % 58.43/9.11 | = all_28_88 & op2(all_28_103, all_28_100) = all_28_90 & % 58.43/9.11 | op2(all_28_103, all_28_103) = all_28_92 & op2(all_28_103, all_28_106) % 58.43/9.11 | = all_28_94 & op2(all_28_106, all_28_97) = all_28_96 & % 58.43/9.11 | op2(all_28_106, all_28_100) = all_28_99 & op2(all_28_106, all_28_103) % 58.43/9.11 | = all_28_102 & op2(all_28_106, all_28_106) = all_28_105 & % 58.43/9.11 | op2(all_28_145, all_28_145) = all_28_108 & op2(all_28_145, % 58.43/9.11 | all_28_149) = all_28_111 & op2(all_28_145, all_28_153) = all_28_114 % 58.43/9.11 | & op2(all_28_145, all_28_157) = all_28_117 & op2(all_28_149, % 58.43/9.11 | all_28_145) = all_28_120 & op2(all_28_149, all_28_149) = all_28_123 % 58.43/9.11 | & op2(all_28_149, all_28_153) = all_28_126 & op2(all_28_149, % 58.43/9.11 | all_28_157) = all_28_129 & op2(all_28_153, all_28_145) = all_28_132 % 58.43/9.11 | & op2(all_28_153, all_28_149) = all_28_135 & op2(all_28_153, % 58.43/9.11 | all_28_153) = all_28_138 & op2(all_28_153, all_28_157) = all_28_141 % 58.43/9.11 | & op2(all_28_157, all_28_145) = all_28_144 & op2(all_28_157, % 58.43/9.11 | all_28_149) = all_28_148 & op2(all_28_157, all_28_153) = all_28_152 % 58.43/9.11 | & op2(all_28_157, all_28_157) = all_28_156 & op1(e13, e13) = % 58.43/9.11 | all_28_110 & op1(e13, e12) = all_28_113 & op1(e13, e11) = all_28_116 % 58.43/9.11 | & op1(e13, e10) = all_28_119 & op1(e12, e13) = all_28_122 & op1(e12, % 58.43/9.11 | e12) = all_28_125 & op1(e12, e11) = all_28_128 & op1(e12, e10) = % 58.43/9.11 | all_28_131 & op1(e11, e13) = all_28_134 & op1(e11, e12) = all_28_137 % 58.43/9.11 | & op1(e11, e11) = all_28_140 & op1(e11, e10) = all_28_143 & op1(e10, % 58.43/9.11 | e13) = all_28_147 & op1(e10, e12) = all_28_151 & op1(e10, e11) = % 58.43/9.11 | all_28_155 & op1(e10, e10) = all_28_159 & $i(all_28_0) & $i(all_28_1) % 58.43/9.11 | & $i(all_28_2) & $i(all_28_3) & $i(all_28_4) & $i(all_28_5) & % 58.43/9.11 | $i(all_28_6) & $i(all_28_7) & $i(all_28_8) & $i(all_28_9) & % 58.43/9.11 | $i(all_28_10) & $i(all_28_11) & $i(all_28_12) & $i(all_28_13) & % 58.43/9.11 | $i(all_28_14) & $i(all_28_15) & $i(all_28_16) & $i(all_28_17) & % 58.43/9.11 | $i(all_28_18) & $i(all_28_19) & $i(all_28_20) & $i(all_28_21) & % 58.43/9.11 | $i(all_28_22) & $i(all_28_23) & $i(all_28_24) & $i(all_28_25) & % 58.43/9.11 | $i(all_28_26) & $i(all_28_27) & $i(all_28_28) & $i(all_28_29) & % 58.43/9.11 | $i(all_28_30) & $i(all_28_31) & $i(all_28_32) & $i(all_28_33) & % 58.43/9.11 | $i(all_28_34) & $i(all_28_35) & $i(all_28_36) & $i(all_28_37) & % 58.43/9.11 | $i(all_28_38) & $i(all_28_39) & $i(all_28_40) & $i(all_28_41) & % 58.43/9.11 | $i(all_28_42) & $i(all_28_43) & $i(all_28_44) & $i(all_28_45) & % 58.43/9.11 | $i(all_28_46) & $i(all_28_47) & $i(all_28_48) & $i(all_28_49) & % 58.43/9.11 | $i(all_28_50) & $i(all_28_51) & $i(all_28_52) & $i(all_28_53) & % 58.43/9.11 | $i(all_28_54) & $i(all_28_55) & $i(all_28_56) & $i(all_28_57) & % 58.43/9.11 | $i(all_28_58) & $i(all_28_59) & $i(all_28_60) & $i(all_28_61) & % 58.43/9.11 | $i(all_28_62) & $i(all_28_63) & $i(all_28_64) & $i(all_28_65) & % 58.43/9.11 | $i(all_28_66) & $i(all_28_67) & $i(all_28_68) & $i(all_28_69) & % 58.43/9.11 | $i(all_28_70) & $i(all_28_71) & $i(all_28_72) & $i(all_28_73) & % 58.43/9.11 | $i(all_28_74) & $i(all_28_75) & $i(all_28_76) & $i(all_28_77) & % 58.43/9.11 | $i(all_28_78) & $i(all_28_79) & $i(all_28_80) & $i(all_28_81) & % 58.43/9.11 | $i(all_28_82) & $i(all_28_83) & $i(all_28_84) & $i(all_28_85) & % 58.43/9.11 | $i(all_28_86) & $i(all_28_87) & $i(all_28_88) & $i(all_28_89) & % 58.43/9.11 | $i(all_28_90) & $i(all_28_91) & $i(all_28_92) & $i(all_28_93) & % 58.43/9.11 | $i(all_28_94) & $i(all_28_95) & $i(all_28_96) & $i(all_28_97) & % 58.43/9.11 | $i(all_28_98) & $i(all_28_99) & $i(all_28_100) & $i(all_28_101) & % 58.43/9.11 | $i(all_28_102) & $i(all_28_103) & $i(all_28_104) & $i(all_28_105) & % 58.43/9.11 | $i(all_28_106) & $i(all_28_107) & $i(all_28_108) & $i(all_28_109) & % 58.43/9.11 | $i(all_28_110) & $i(all_28_111) & $i(all_28_112) & $i(all_28_113) & % 58.43/9.11 | $i(all_28_114) & $i(all_28_115) & $i(all_28_116) & $i(all_28_117) & % 58.43/9.11 | $i(all_28_118) & $i(all_28_119) & $i(all_28_120) & $i(all_28_121) & % 58.43/9.11 | $i(all_28_122) & $i(all_28_123) & $i(all_28_124) & $i(all_28_125) & % 58.43/9.11 | $i(all_28_126) & $i(all_28_127) & $i(all_28_128) & $i(all_28_129) & % 58.43/9.11 | $i(all_28_130) & $i(all_28_131) & $i(all_28_132) & $i(all_28_133) & % 58.43/9.11 | $i(all_28_134) & $i(all_28_135) & $i(all_28_136) & $i(all_28_137) & % 58.43/9.11 | $i(all_28_138) & $i(all_28_139) & $i(all_28_140) & $i(all_28_141) & % 58.43/9.11 | $i(all_28_142) & $i(all_28_143) & $i(all_28_144) & $i(all_28_145) & % 58.43/9.11 | $i(all_28_146) & $i(all_28_147) & $i(all_28_148) & $i(all_28_149) & % 58.43/9.11 | $i(all_28_150) & $i(all_28_151) & $i(all_28_152) & $i(all_28_153) & % 58.43/9.11 | $i(all_28_154) & $i(all_28_155) & $i(all_28_156) & $i(all_28_157) & % 58.43/9.11 | $i(all_28_158) & $i(all_28_159) & ( ~ (all_28_0 = all_28_1) | ~ % 58.43/9.11 | (all_28_2 = all_28_3) | ~ (all_28_4 = all_28_5) | ~ (all_28_6 = % 58.43/9.11 | all_28_7) | ~ (all_28_8 = all_28_9) | ~ (all_28_10 = all_28_11) % 58.43/9.11 | | ~ (all_28_12 = all_28_13) | ~ (all_28_14 = all_28_15) | ~ % 58.43/9.11 | (all_28_16 = all_28_17) | ~ (all_28_18 = all_28_19) | ~ % 58.43/9.11 | (all_28_20 = all_28_21) | ~ (all_28_22 = all_28_23) | ~ % 58.43/9.11 | (all_28_24 = all_28_26) | ~ (all_28_27 = all_28_29) | ~ % 58.43/9.11 | (all_28_30 = all_28_32) | ~ (all_28_33 = all_28_35) | ( ~ % 58.43/9.11 | (all_28_25 = e23) & ~ (all_28_28 = e23) & ~ (all_28_31 = e23) & % 58.43/9.11 | ~ (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & ~ (all_28_28 = % 58.43/9.11 | e22) & ~ (all_28_31 = e22) & ~ (all_28_34 = e22)) | ( ~ % 58.43/9.11 | (all_28_25 = e21) & ~ (all_28_28 = e21) & ~ (all_28_31 = e21) & % 58.43/9.11 | ~ (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~ (all_28_28 = % 58.43/9.11 | e20) & ~ (all_28_31 = e20) & ~ (all_28_34 = e20))) & ( ~ % 58.43/9.11 | (all_28_36 = all_28_37) | ~ (all_28_38 = all_28_39) | ~ % 58.43/9.11 | (all_28_40 = all_28_41) | ~ (all_28_42 = all_28_43) | ~ % 58.43/9.11 | (all_28_44 = all_28_45) | ~ (all_28_46 = all_28_47) | ~ % 58.43/9.11 | (all_28_48 = all_28_49) | ~ (all_28_50 = all_28_51) | ~ % 58.43/9.11 | (all_28_52 = all_28_53) | ~ (all_28_54 = all_28_55) | ~ % 58.43/9.11 | (all_28_56 = all_28_57) | ~ (all_28_58 = all_28_59) | ~ % 58.43/9.11 | (all_28_60 = all_28_62) | ~ (all_28_63 = all_28_65) | ~ % 58.43/9.11 | (all_28_66 = all_28_68) | ~ (all_28_69 = all_28_71) | ( ~ % 58.43/9.11 | (all_28_61 = e23) & ~ (all_28_64 = e23) & ~ (all_28_67 = e23) & % 58.43/9.11 | ~ (all_28_70 = e23)) | ( ~ (all_28_61 = e22) & ~ (all_28_64 = % 58.43/9.11 | e22) & ~ (all_28_67 = e22) & ~ (all_28_70 = e22)) | ( ~ % 58.43/9.11 | (all_28_61 = e21) & ~ (all_28_64 = e21) & ~ (all_28_67 = e21) & % 58.43/9.11 | ~ (all_28_70 = e21)) | ( ~ (all_28_61 = e20) & ~ (all_28_64 = % 58.43/9.11 | e20) & ~ (all_28_67 = e20) & ~ (all_28_70 = e20))) & ( ~ % 58.43/9.11 | (all_28_72 = all_28_73) | ~ (all_28_74 = all_28_75) | ~ % 58.43/9.11 | (all_28_76 = all_28_77) | ~ (all_28_78 = all_28_79) | ~ % 58.43/9.11 | (all_28_80 = all_28_81) | ~ (all_28_82 = all_28_83) | ~ % 58.43/9.11 | (all_28_84 = all_28_85) | ~ (all_28_86 = all_28_87) | ~ % 58.43/9.11 | (all_28_88 = all_28_89) | ~ (all_28_90 = all_28_91) | ~ % 58.43/9.11 | (all_28_92 = all_28_93) | ~ (all_28_94 = all_28_95) | ~ % 58.43/9.11 | (all_28_96 = all_28_98) | ~ (all_28_99 = all_28_101) | ~ % 58.43/9.11 | (all_28_102 = all_28_104) | ~ (all_28_105 = all_28_107) | ( ~ % 58.43/9.11 | (all_28_97 = e23) & ~ (all_28_100 = e23) & ~ (all_28_103 = e23) % 58.43/9.11 | & ~ (all_28_106 = e23)) | ( ~ (all_28_97 = e22) & ~ (all_28_100 % 58.43/9.11 | = e22) & ~ (all_28_103 = e22) & ~ (all_28_106 = e22)) | ( ~ % 58.43/9.11 | (all_28_97 = e21) & ~ (all_28_100 = e21) & ~ (all_28_103 = e21) % 58.43/9.11 | & ~ (all_28_106 = e21)) | ( ~ (all_28_97 = e20) & ~ (all_28_100 % 58.43/9.11 | = e20) & ~ (all_28_103 = e20) & ~ (all_28_106 = e20))) & ( ~ % 58.43/9.11 | (all_28_108 = all_28_109) | ~ (all_28_111 = all_28_112) | ~ % 58.43/9.11 | (all_28_114 = all_28_115) | ~ (all_28_117 = all_28_118) | ~ % 58.43/9.11 | (all_28_120 = all_28_121) | ~ (all_28_123 = all_28_124) | ~ % 58.43/9.11 | (all_28_126 = all_28_127) | ~ (all_28_129 = all_28_130) | ~ % 58.43/9.11 | (all_28_132 = all_28_133) | ~ (all_28_135 = all_28_136) | ~ % 58.43/9.11 | (all_28_138 = all_28_139) | ~ (all_28_141 = all_28_142) | ~ % 58.43/9.11 | (all_28_144 = all_28_146) | ~ (all_28_148 = all_28_150) | ~ % 58.43/9.11 | (all_28_152 = all_28_154) | ~ (all_28_156 = all_28_158) | ( ~ % 58.43/9.11 | (all_28_145 = e23) & ~ (all_28_149 = e23) & ~ (all_28_153 = % 58.43/9.11 | e23) & ~ (all_28_157 = e23)) | ( ~ (all_28_145 = e22) & ~ % 58.43/9.11 | (all_28_149 = e22) & ~ (all_28_153 = e22) & ~ (all_28_157 = % 58.43/9.11 | e22)) | ( ~ (all_28_145 = e21) & ~ (all_28_149 = e21) & ~ % 58.43/9.11 | (all_28_153 = e21) & ~ (all_28_157 = e21)) | ( ~ (all_28_145 = % 58.43/9.11 | e20) & ~ (all_28_149 = e20) & ~ (all_28_153 = e20) & ~ % 58.43/9.11 | (all_28_157 = e20))) % 58.43/9.11 | % 58.43/9.11 | ALPHA: (361) implies: % 58.43/9.11 | (362) op1(e10, e10) = all_28_159 % 58.43/9.11 | (363) op1(e10, e11) = all_28_155 % 58.43/9.11 | (364) op1(e10, e12) = all_28_151 % 58.43/9.11 | (365) op1(e10, e13) = all_28_147 % 58.43/9.11 | (366) op1(e11, e10) = all_28_143 % 58.43/9.11 | (367) op1(e11, e11) = all_28_140 % 58.43/9.12 | (368) op1(e11, e12) = all_28_137 % 58.43/9.12 | (369) op1(e11, e13) = all_28_134 % 58.43/9.12 | (370) op1(e12, e10) = all_28_131 % 58.43/9.12 | (371) op1(e12, e11) = all_28_128 % 58.43/9.12 | (372) op1(e12, e12) = all_28_125 % 58.43/9.12 | (373) op1(e12, e13) = all_28_122 % 58.43/9.12 | (374) op1(e13, e10) = all_28_119 % 58.43/9.12 | (375) op1(e13, e11) = all_28_116 % 58.43/9.12 | (376) op1(e13, e12) = all_28_113 % 58.43/9.12 | (377) op1(e13, e13) = all_28_110 % 58.43/9.12 | (378) op2(all_28_157, all_28_157) = all_28_156 % 58.43/9.12 | (379) op2(all_28_157, all_28_153) = all_28_152 % 58.43/9.12 | (380) op2(all_28_157, all_28_149) = all_28_148 % 58.43/9.12 | (381) op2(all_28_157, all_28_145) = all_28_144 % 58.43/9.12 | (382) op2(all_28_153, all_28_157) = all_28_141 % 58.43/9.12 | (383) op2(all_28_153, all_28_153) = all_28_138 % 58.43/9.12 | (384) op2(all_28_153, all_28_149) = all_28_135 % 58.43/9.12 | (385) op2(all_28_153, all_28_145) = all_28_132 % 58.43/9.12 | (386) op2(all_28_149, all_28_157) = all_28_129 % 58.43/9.12 | (387) op2(all_28_149, all_28_153) = all_28_126 % 58.43/9.12 | (388) op2(all_28_149, all_28_149) = all_28_123 % 58.43/9.12 | (389) op2(all_28_149, all_28_145) = all_28_120 % 58.43/9.12 | (390) op2(all_28_145, all_28_157) = all_28_117 % 58.43/9.12 | (391) op2(all_28_145, all_28_153) = all_28_114 % 58.43/9.12 | (392) op2(all_28_145, all_28_149) = all_28_111 % 58.43/9.12 | (393) op2(all_28_145, all_28_145) = all_28_108 % 58.43/9.12 | (394) op2(all_28_106, all_28_106) = all_28_105 % 58.43/9.12 | (395) op2(all_28_106, all_28_103) = all_28_102 % 58.43/9.12 | (396) op2(all_28_106, all_28_100) = all_28_99 % 58.43/9.12 | (397) op2(all_28_106, all_28_97) = all_28_96 % 58.43/9.12 | (398) op2(all_28_103, all_28_106) = all_28_94 % 58.43/9.12 | (399) op2(all_28_103, all_28_103) = all_28_92 % 58.43/9.12 | (400) op2(all_28_103, all_28_100) = all_28_90 % 58.43/9.12 | (401) op2(all_28_103, all_28_97) = all_28_88 % 58.43/9.12 | (402) op2(all_28_100, all_28_106) = all_28_86 % 58.43/9.12 | (403) op2(all_28_100, all_28_103) = all_28_84 % 58.43/9.12 | (404) op2(all_28_100, all_28_100) = all_28_82 % 58.43/9.12 | (405) op2(all_28_100, all_28_97) = all_28_80 % 58.43/9.12 | (406) op2(all_28_97, all_28_106) = all_28_78 % 58.43/9.12 | (407) op2(all_28_97, all_28_103) = all_28_76 % 58.43/9.12 | (408) op2(all_28_97, all_28_100) = all_28_74 % 58.43/9.12 | (409) op2(all_28_97, all_28_97) = all_28_72 % 58.43/9.12 | (410) op2(all_28_70, all_28_70) = all_28_69 % 58.43/9.12 | (411) op2(all_28_70, all_28_67) = all_28_66 % 58.43/9.12 | (412) op2(all_28_70, all_28_64) = all_28_63 % 58.43/9.12 | (413) op2(all_28_67, all_28_70) = all_28_58 % 58.43/9.12 | (414) op2(all_28_67, all_28_67) = all_28_56 % 58.43/9.12 | (415) op2(all_28_64, all_28_70) = all_28_50 % 58.43/9.12 | (416) op2(all_28_64, all_28_64) = all_28_46 % 58.43/9.12 | (417) op2(all_28_34, all_28_34) = all_28_33 % 58.43/9.12 | (418) op2(all_28_34, all_28_31) = all_28_30 % 58.43/9.12 | (419) op2(all_28_34, all_28_28) = all_28_27 % 58.43/9.12 | (420) op2(all_28_34, all_28_25) = all_28_24 % 58.43/9.12 | (421) op2(all_28_31, all_28_34) = all_28_22 % 58.43/9.12 | (422) op2(all_28_31, all_28_31) = all_28_20 % 58.43/9.12 | (423) op2(all_28_31, all_28_28) = all_28_18 % 58.43/9.12 | (424) op2(all_28_31, all_28_25) = all_28_16 % 58.43/9.12 | (425) op2(all_28_28, all_28_34) = all_28_14 % 58.43/9.12 | (426) op2(all_28_28, all_28_31) = all_28_12 % 58.43/9.12 | (427) op2(all_28_28, all_28_28) = all_28_10 % 58.43/9.12 | (428) op2(all_28_28, all_28_25) = all_28_8 % 58.43/9.12 | (429) op2(all_28_25, all_28_34) = all_28_6 % 58.43/9.12 | (430) op2(all_28_25, all_28_31) = all_28_4 % 58.43/9.12 | (431) op2(all_28_25, all_28_28) = all_28_2 % 58.43/9.12 | (432) op2(all_28_25, all_28_25) = all_28_0 % 58.43/9.12 | (433) h1(e10) = all_28_157 % 58.43/9.12 | (434) h1(e11) = all_28_153 % 58.43/9.12 | (435) h1(e12) = all_28_149 % 58.43/9.12 | (436) h1(e13) = all_28_145 % 58.43/9.12 | (437) h1(all_28_159) = all_28_158 % 58.43/9.12 | (438) h1(all_28_155) = all_28_154 % 58.43/9.12 | (439) h1(all_28_151) = all_28_150 % 58.43/9.12 | (440) h1(all_28_147) = all_28_146 % 58.43/9.12 | (441) h1(all_28_143) = all_28_142 % 58.43/9.12 | (442) h1(all_28_140) = all_28_139 % 58.43/9.12 | (443) h1(all_28_137) = all_28_136 % 58.43/9.12 | (444) h1(all_28_134) = all_28_133 % 58.43/9.12 | (445) h1(all_28_131) = all_28_130 % 58.43/9.12 | (446) h1(all_28_128) = all_28_127 % 58.43/9.12 | (447) h1(all_28_125) = all_28_124 % 58.43/9.12 | (448) h1(all_28_122) = all_28_121 % 58.43/9.12 | (449) h1(all_28_119) = all_28_118 % 58.43/9.12 | (450) h1(all_28_116) = all_28_115 % 58.43/9.12 | (451) h1(all_28_113) = all_28_112 % 58.43/9.12 | (452) h1(all_28_110) = all_28_109 % 58.43/9.12 | (453) h2(e10) = all_28_106 % 58.43/9.12 | (454) h2(e11) = all_28_103 % 58.43/9.12 | (455) h2(e12) = all_28_100 % 58.43/9.12 | (456) h2(e13) = all_28_97 % 58.43/9.12 | (457) h2(all_28_159) = all_28_107 % 58.43/9.12 | (458) h2(all_28_155) = all_28_104 % 58.43/9.12 | (459) h2(all_28_151) = all_28_101 % 58.43/9.12 | (460) h2(all_28_147) = all_28_98 % 58.43/9.12 | (461) h2(all_28_143) = all_28_95 % 58.43/9.12 | (462) h2(all_28_140) = all_28_93 % 58.43/9.12 | (463) h2(all_28_137) = all_28_91 % 58.43/9.12 | (464) h2(all_28_134) = all_28_89 % 58.43/9.12 | (465) h2(all_28_131) = all_28_87 % 58.43/9.12 | (466) h2(all_28_128) = all_28_85 % 58.43/9.12 | (467) h2(all_28_125) = all_28_83 % 58.43/9.12 | (468) h2(all_28_122) = all_28_81 % 58.43/9.12 | (469) h2(all_28_119) = all_28_79 % 58.43/9.12 | (470) h2(all_28_116) = all_28_77 % 58.43/9.12 | (471) h2(all_28_113) = all_28_75 % 58.43/9.12 | (472) h2(all_28_110) = all_28_73 % 58.43/9.12 | (473) h3(e10) = all_28_70 % 58.43/9.12 | (474) h3(e11) = all_28_67 % 58.43/9.12 | (475) h3(e12) = all_28_64 % 58.43/9.12 | (476) h4(e10) = all_28_34 % 58.43/9.12 | (477) h4(e11) = all_28_31 % 58.43/9.12 | (478) h4(e12) = all_28_28 % 58.43/9.12 | (479) h4(e13) = all_28_25 % 58.43/9.12 | (480) h4(all_28_159) = all_28_35 % 58.43/9.12 | (481) h4(all_28_155) = all_28_32 % 58.43/9.12 | (482) h4(all_28_151) = all_28_29 % 58.43/9.12 | (483) h4(all_28_147) = all_28_26 % 58.43/9.12 | (484) h4(all_28_143) = all_28_23 % 58.43/9.12 | (485) h4(all_28_140) = all_28_21 % 58.43/9.12 | (486) h4(all_28_137) = all_28_19 % 58.43/9.12 | (487) h4(all_28_134) = all_28_17 % 58.43/9.12 | (488) h4(all_28_131) = all_28_15 % 58.43/9.12 | (489) h4(all_28_128) = all_28_13 % 58.43/9.12 | (490) h4(all_28_125) = all_28_11 % 58.43/9.12 | (491) h4(all_28_122) = all_28_9 % 58.43/9.12 | (492) h4(all_28_119) = all_28_7 % 58.43/9.12 | (493) h4(all_28_116) = all_28_5 % 58.80/9.12 | (494) h4(all_28_113) = all_28_3 % 58.80/9.12 | (495) h4(all_28_110) = all_28_1 % 58.80/9.12 | (496) ~ (all_28_108 = all_28_109) | ~ (all_28_111 = all_28_112) | ~ % 58.80/9.12 | (all_28_114 = all_28_115) | ~ (all_28_117 = all_28_118) | ~ % 58.80/9.12 | (all_28_120 = all_28_121) | ~ (all_28_123 = all_28_124) | ~ % 58.80/9.12 | (all_28_126 = all_28_127) | ~ (all_28_129 = all_28_130) | ~ % 58.80/9.12 | (all_28_132 = all_28_133) | ~ (all_28_135 = all_28_136) | ~ % 58.80/9.12 | (all_28_138 = all_28_139) | ~ (all_28_141 = all_28_142) | ~ % 58.80/9.12 | (all_28_144 = all_28_146) | ~ (all_28_148 = all_28_150) | ~ % 58.80/9.12 | (all_28_152 = all_28_154) | ~ (all_28_156 = all_28_158) | ( ~ % 58.80/9.12 | (all_28_145 = e23) & ~ (all_28_149 = e23) & ~ (all_28_153 = e23) % 58.80/9.12 | & ~ (all_28_157 = e23)) | ( ~ (all_28_145 = e22) & ~ (all_28_149 % 58.80/9.12 | = e22) & ~ (all_28_153 = e22) & ~ (all_28_157 = e22)) | ( ~ % 58.80/9.12 | (all_28_145 = e21) & ~ (all_28_149 = e21) & ~ (all_28_153 = e21) % 58.80/9.12 | & ~ (all_28_157 = e21)) | ( ~ (all_28_145 = e20) & ~ (all_28_149 % 58.80/9.12 | = e20) & ~ (all_28_153 = e20) & ~ (all_28_157 = e20)) % 58.80/9.12 | (497) ~ (all_28_72 = all_28_73) | ~ (all_28_74 = all_28_75) | ~ % 58.80/9.12 | (all_28_76 = all_28_77) | ~ (all_28_78 = all_28_79) | ~ (all_28_80 % 58.80/9.12 | = all_28_81) | ~ (all_28_82 = all_28_83) | ~ (all_28_84 = % 58.80/9.12 | all_28_85) | ~ (all_28_86 = all_28_87) | ~ (all_28_88 = % 58.80/9.12 | all_28_89) | ~ (all_28_90 = all_28_91) | ~ (all_28_92 = % 58.80/9.12 | all_28_93) | ~ (all_28_94 = all_28_95) | ~ (all_28_96 = % 58.80/9.12 | all_28_98) | ~ (all_28_99 = all_28_101) | ~ (all_28_102 = % 58.80/9.12 | all_28_104) | ~ (all_28_105 = all_28_107) | ( ~ (all_28_97 = e23) % 58.80/9.12 | & ~ (all_28_100 = e23) & ~ (all_28_103 = e23) & ~ (all_28_106 = % 58.80/9.12 | e23)) | ( ~ (all_28_97 = e22) & ~ (all_28_100 = e22) & ~ % 58.80/9.12 | (all_28_103 = e22) & ~ (all_28_106 = e22)) | ( ~ (all_28_97 = e21) % 58.80/9.12 | & ~ (all_28_100 = e21) & ~ (all_28_103 = e21) & ~ (all_28_106 = % 58.80/9.12 | e21)) | ( ~ (all_28_97 = e20) & ~ (all_28_100 = e20) & ~ % 58.80/9.12 | (all_28_103 = e20) & ~ (all_28_106 = e20)) % 58.80/9.12 | (498) ~ (all_28_0 = all_28_1) | ~ (all_28_2 = all_28_3) | ~ (all_28_4 = % 58.80/9.12 | all_28_5) | ~ (all_28_6 = all_28_7) | ~ (all_28_8 = all_28_9) | % 58.80/9.12 | ~ (all_28_10 = all_28_11) | ~ (all_28_12 = all_28_13) | ~ % 58.80/9.12 | (all_28_14 = all_28_15) | ~ (all_28_16 = all_28_17) | ~ (all_28_18 % 58.80/9.12 | = all_28_19) | ~ (all_28_20 = all_28_21) | ~ (all_28_22 = % 58.80/9.12 | all_28_23) | ~ (all_28_24 = all_28_26) | ~ (all_28_27 = % 58.80/9.12 | all_28_29) | ~ (all_28_30 = all_28_32) | ~ (all_28_33 = % 58.80/9.12 | all_28_35) | ( ~ (all_28_25 = e23) & ~ (all_28_28 = e23) & ~ % 58.80/9.12 | (all_28_31 = e23) & ~ (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & % 58.80/9.12 | ~ (all_28_28 = e22) & ~ (all_28_31 = e22) & ~ (all_28_34 = e22)) % 58.80/9.12 | | ( ~ (all_28_25 = e21) & ~ (all_28_28 = e21) & ~ (all_28_31 = e21) % 58.80/9.12 | & ~ (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~ (all_28_28 = % 58.80/9.12 | e20) & ~ (all_28_31 = e20) & ~ (all_28_34 = e20)) % 58.80/9.12 | % 58.80/9.12 | GROUND_INST: instantiating (30) with all_20_15, all_24_15, e10, e10, % 58.80/9.12 | simplifying with (251), (289) gives: % 58.80/9.12 | (499) all_24_15 = all_20_15 % 58.80/9.12 | % 58.80/9.12 | GROUND_INST: instantiating (30) with all_16_15, all_24_15, e10, e10, % 58.80/9.12 | simplifying with (193), (289) gives: % 58.80/9.12 | (500) all_24_15 = all_16_15 % 58.80/9.12 | % 58.80/9.12 | GROUND_INST: instantiating (30) with e11, all_24_15, e10, e10, simplifying % 58.80/9.12 | with (15), (289) gives: % 58.80/9.12 | (501) all_24_15 = e11 % 58.80/9.12 | % 58.80/9.12 | GROUND_INST: instantiating (30) with all_20_15, all_28_159, e10, e10, % 58.80/9.12 | simplifying with (251), (362) gives: % 58.80/9.12 | (502) all_28_159 = all_20_15 % 58.80/9.12 | % 58.80/9.12 | GROUND_INST: instantiating (30) with all_12_15, all_28_159, e10, e10, % 58.80/9.12 | simplifying with (111), (362) gives: % 58.80/9.12 | (503) all_28_159 = all_12_15 % 58.80/9.12 | % 58.80/9.12 | GROUND_INST: instantiating (30) with all_12_11, all_20_8, e11, e10, % 58.80/9.12 | simplifying with (112), (252) gives: % 58.80/9.12 | (504) all_20_8 = all_12_11 % 58.80/9.12 | % 58.80/9.12 | GROUND_INST: instantiating (30) with e12, all_20_8, e11, e10, simplifying with % 58.80/9.12 | (16), (252) gives: % 58.80/9.12 | (505) all_20_8 = e12 % 58.80/9.12 | % 58.80/9.12 | GROUND_INST: instantiating (30) with all_20_8, all_24_14, e11, e10, % 58.80/9.12 | simplifying with (252), (290) gives: % 58.80/9.12 | (506) all_24_14 = all_20_8 % 58.80/9.12 | % 58.80/9.12 | GROUND_INST: instantiating (30) with all_24_14, all_28_155, e11, e10, % 58.80/9.12 | simplifying with (290), (363) gives: % 58.80/9.12 | (507) all_28_155 = all_24_14 % 58.80/9.12 | % 58.80/9.12 | GROUND_INST: instantiating (30) with all_16_14, all_28_155, e11, e10, % 58.80/9.12 | simplifying with (194), (363) gives: % 58.80/9.12 | (508) all_28_155 = all_16_14 % 58.80/9.12 | % 58.80/9.12 | GROUND_INST: instantiating (30) with all_20_5, all_24_13, e12, e10, % 58.80/9.12 | simplifying with (253), (291) gives: % 58.80/9.12 | (509) all_24_13 = all_20_5 % 58.80/9.12 | % 58.80/9.12 | GROUND_INST: instantiating (30) with all_16_13, all_24_13, e12, e10, % 58.80/9.12 | simplifying with (195), (291) gives: % 58.80/9.12 | (510) all_24_13 = all_16_13 % 58.80/9.12 | % 58.80/9.13 | GROUND_INST: instantiating (30) with all_20_5, all_28_151, e12, e10, % 58.80/9.13 | simplifying with (253), (364) gives: % 58.80/9.13 | (511) all_28_151 = all_20_5 % 58.80/9.13 | % 58.80/9.13 | GROUND_INST: instantiating (30) with all_12_7, all_28_151, e12, e10, % 58.80/9.13 | simplifying with (113), (364) gives: % 58.80/9.13 | (512) all_28_151 = all_12_7 % 58.80/9.13 | % 58.80/9.13 | GROUND_INST: instantiating (30) with all_12_3, all_20_2, e13, e10, simplifying % 58.80/9.13 | with (114), (254) gives: % 58.80/9.13 | (513) all_20_2 = all_12_3 % 58.80/9.13 | % 58.80/9.13 | GROUND_INST: instantiating (30) with all_24_12, all_28_147, e13, e10, % 58.80/9.13 | simplifying with (292), (365) gives: % 58.80/9.13 | (514) all_28_147 = all_24_12 % 58.80/9.13 | % 58.80/9.13 | GROUND_INST: instantiating (30) with all_20_2, all_28_147, e13, e10, % 58.80/9.13 | simplifying with (254), (365) gives: % 58.80/9.13 | (515) all_28_147 = all_20_2 % 58.80/9.13 | % 58.80/9.13 | GROUND_INST: instantiating (30) with all_16_12, all_28_147, e13, e10, % 58.80/9.13 | simplifying with (196), (365) gives: % 58.80/9.13 | (516) all_28_147 = all_16_12 % 58.80/9.13 | % 58.80/9.13 | GROUND_INST: instantiating (30) with all_24_11, all_28_143, e10, e11, % 58.80/9.13 | simplifying with (293), (366) gives: % 58.80/9.13 | (517) all_28_143 = all_24_11 % 58.80/9.13 | % 58.80/9.13 | GROUND_INST: instantiating (30) with all_20_13, all_28_143, e10, e11, % 58.80/9.13 | simplifying with (255), (366) gives: % 58.80/9.13 | (518) all_28_143 = all_20_13 % 58.80/9.13 | % 58.80/9.13 | GROUND_INST: instantiating (30) with all_16_11, all_28_143, e10, e11, % 58.80/9.13 | simplifying with (197), (366) gives: % 58.80/9.13 | (519) all_28_143 = all_16_11 % 58.80/9.13 | % 58.80/9.13 | GROUND_INST: instantiating (30) with all_12_14, all_28_143, e10, e11, % 58.80/9.13 | simplifying with (115), (366) gives: % 58.80/9.13 | (520) all_28_143 = all_12_14 % 58.80/9.13 | % 58.80/9.13 | GROUND_INST: instantiating (30) with all_12_10, all_24_8, e11, e11, % 58.80/9.13 | simplifying with (116), (294) gives: % 58.80/9.13 | (521) all_24_8 = all_12_10 % 58.80/9.13 | % 58.80/9.13 | GROUND_INST: instantiating (30) with all_24_8, all_28_140, e11, e11, % 58.80/9.13 | simplifying with (294), (367) gives: % 58.80/9.13 | (522) all_28_140 = all_24_8 % 58.80/9.13 | % 58.80/9.13 | GROUND_INST: instantiating (30) with all_20_14, all_28_140, e11, e11, % 58.80/9.13 | simplifying with (256), (367) gives: % 58.80/9.13 | (523) all_28_140 = all_20_14 % 58.80/9.13 | % 58.80/9.13 | GROUND_INST: instantiating (30) with all_16_10, all_28_140, e11, e11, % 58.80/9.13 | simplifying with (198), (367) gives: % 58.80/9.13 | (524) all_28_140 = all_16_10 % 58.80/9.13 | % 58.80/9.13 | GROUND_INST: instantiating (30) with all_12_6, all_20_4, e12, e11, simplifying % 58.80/9.13 | with (117), (257) gives: % 58.80/9.13 | (525) all_20_4 = all_12_6 % 58.80/9.13 | % 58.80/9.13 | GROUND_INST: instantiating (30) with all_20_4, all_24_7, e12, e11, simplifying % 58.80/9.13 | with (257), (295) gives: % 58.80/9.13 | (526) all_24_7 = all_20_4 % 58.80/9.13 | % 58.80/9.13 | GROUND_INST: instantiating (30) with all_24_7, all_28_137, e12, e11, % 58.80/9.13 | simplifying with (295), (368) gives: % 58.80/9.13 | (527) all_28_137 = all_24_7 % 58.80/9.13 | % 58.80/9.13 | GROUND_INST: instantiating (30) with all_16_9, all_28_137, e12, e11, % 58.80/9.13 | simplifying with (199), (368) gives: % 58.80/9.13 | (528) all_28_137 = all_16_9 % 58.80/9.13 | % 58.80/9.13 | GROUND_INST: instantiating (30) with all_20_1, all_24_6, e13, e11, simplifying % 58.80/9.13 | with (258), (296) gives: % 58.80/9.13 | (529) all_24_6 = all_20_1 % 58.80/9.13 | % 58.80/9.13 | GROUND_INST: instantiating (30) with all_16_8, all_24_6, e13, e11, simplifying % 58.80/9.13 | with (200), (296) gives: % 58.80/9.13 | (530) all_24_6 = all_16_8 % 58.80/9.13 | % 58.80/9.13 | GROUND_INST: instantiating (30) with all_24_6, all_28_134, e13, e11, % 58.80/9.13 | simplifying with (296), (369) gives: % 58.80/9.13 | (531) all_28_134 = all_24_6 % 58.80/9.13 | % 58.80/9.13 | GROUND_INST: instantiating (30) with all_12_2, all_28_134, e13, e11, % 58.80/9.13 | simplifying with (118), (369) gives: % 58.80/9.13 | (532) all_28_134 = all_12_2 % 58.80/9.13 | % 58.80/9.13 | GROUND_INST: instantiating (30) with all_16_7, all_20_11, e10, e12, % 58.80/9.13 | simplifying with (201), (259) gives: % 58.80/9.13 | (533) all_20_11 = all_16_7 % 58.80/9.13 | % 58.80/9.13 | GROUND_INST: instantiating (30) with all_20_11, all_24_10, e10, e12, % 58.80/9.13 | simplifying with (259), (297) gives: % 58.80/9.13 | (534) all_24_10 = all_20_11 % 58.80/9.13 | % 58.80/9.13 | GROUND_INST: instantiating (30) with e13, all_24_10, e10, e12, simplifying % 58.80/9.13 | with (17), (297) gives: % 58.80/9.13 | (535) all_24_10 = e13 % 58.80/9.13 | % 58.80/9.13 | GROUND_INST: instantiating (30) with all_16_7, all_28_131, e10, e12, % 58.80/9.13 | simplifying with (201), (370) gives: % 58.80/9.13 | (536) all_28_131 = all_16_7 % 58.80/9.13 | % 58.80/9.13 | GROUND_INST: instantiating (30) with all_12_13, all_28_131, e10, e12, % 58.80/9.13 | simplifying with (119), (370) gives: % 58.80/9.13 | (537) all_28_131 = all_12_13 % 58.80/9.13 | % 58.80/9.13 | GROUND_INST: instantiating (30) with all_24_5, all_28_128, e11, e12, % 58.80/9.13 | simplifying with (298), (371) gives: % 58.80/9.13 | (538) all_28_128 = all_24_5 % 58.80/9.13 | % 58.80/9.13 | GROUND_INST: instantiating (30) with all_20_7, all_28_128, e11, e12, % 58.80/9.13 | simplifying with (260), (371) gives: % 58.80/9.13 | (539) all_28_128 = all_20_7 % 58.80/9.13 | % 58.80/9.13 | GROUND_INST: instantiating (30) with all_16_6, all_28_128, e11, e12, % 58.80/9.13 | simplifying with (202), (371) gives: % 58.80/9.13 | (540) all_28_128 = all_16_6 % 58.80/9.13 | % 58.80/9.13 | GROUND_INST: instantiating (30) with all_12_9, all_28_128, e11, e12, % 58.80/9.13 | simplifying with (120), (371) gives: % 58.80/9.13 | (541) all_28_128 = all_12_9 % 58.80/9.13 | % 58.80/9.13 | GROUND_INST: instantiating (30) with all_16_5, all_20_12, e12, e12, % 58.80/9.13 | simplifying with (203), (261) gives: % 58.80/9.13 | (542) all_20_12 = all_16_5 % 58.80/9.13 | % 58.80/9.13 | GROUND_INST: instantiating (30) with all_20_12, all_24_3, e12, e12, % 58.80/9.13 | simplifying with (261), (299) gives: % 58.80/9.13 | (543) all_24_3 = all_20_12 % 58.80/9.13 | % 58.80/9.13 | GROUND_INST: instantiating (30) with all_24_3, all_28_125, e12, e12, % 58.80/9.13 | simplifying with (299), (372) gives: % 58.80/9.13 | (544) all_28_125 = all_24_3 % 58.80/9.13 | % 58.80/9.13 | GROUND_INST: instantiating (30) with all_12_5, all_28_125, e12, e12, % 58.80/9.13 | simplifying with (121), (372) gives: % 58.80/9.13 | (545) all_28_125 = all_12_5 % 58.80/9.13 | % 58.80/9.13 | GROUND_INST: instantiating (30) with all_20_0, all_24_2, e13, e12, simplifying % 58.80/9.13 | with (262), (300) gives: % 58.80/9.13 | (546) all_24_2 = all_20_0 % 58.80/9.13 | % 58.80/9.13 | GROUND_INST: instantiating (30) with all_16_4, all_24_2, e13, e12, simplifying % 58.80/9.13 | with (204), (300) gives: % 58.80/9.13 | (547) all_24_2 = all_16_4 % 58.80/9.13 | % 58.80/9.13 | GROUND_INST: instantiating (30) with all_24_2, all_28_122, e13, e12, % 58.80/9.13 | simplifying with (300), (373) gives: % 58.80/9.13 | (548) all_28_122 = all_24_2 % 58.80/9.13 | % 58.80/9.13 | GROUND_INST: instantiating (30) with all_12_1, all_28_122, e13, e12, % 58.80/9.13 | simplifying with (122), (373) gives: % 58.80/9.13 | (549) all_28_122 = all_12_1 % 58.80/9.13 | % 58.80/9.13 | GROUND_INST: instantiating (30) with all_20_9, all_24_9, e10, e13, simplifying % 58.80/9.13 | with (263), (301) gives: % 58.80/9.13 | (550) all_24_9 = all_20_9 % 58.80/9.13 | % 58.80/9.13 | GROUND_INST: instantiating (30) with all_16_3, all_24_9, e10, e13, simplifying % 58.80/9.13 | with (205), (301) gives: % 58.80/9.13 | (551) all_24_9 = all_16_3 % 58.80/9.13 | % 58.80/9.13 | GROUND_INST: instantiating (30) with all_20_9, all_28_119, e10, e13, % 58.80/9.13 | simplifying with (263), (374) gives: % 58.80/9.13 | (552) all_28_119 = all_20_9 % 58.80/9.13 | % 58.80/9.13 | GROUND_INST: instantiating (30) with all_12_12, all_28_119, e10, e13, % 58.80/9.13 | simplifying with (123), (374) gives: % 58.80/9.13 | (553) all_28_119 = all_12_12 % 58.80/9.13 | % 58.80/9.13 | GROUND_INST: instantiating (30) with all_16_2, all_20_6, e11, e13, simplifying % 58.80/9.13 | with (206), (264) gives: % 58.80/9.13 | (554) all_20_6 = all_16_2 % 58.80/9.13 | % 58.80/9.13 | GROUND_INST: instantiating (30) with all_24_4, all_28_116, e11, e13, % 58.80/9.13 | simplifying with (302), (375) gives: % 58.80/9.13 | (555) all_28_116 = all_24_4 % 58.80/9.13 | % 58.80/9.13 | GROUND_INST: instantiating (30) with all_20_6, all_28_116, e11, e13, % 58.80/9.13 | simplifying with (264), (375) gives: % 58.80/9.13 | (556) all_28_116 = all_20_6 % 58.80/9.13 | % 58.80/9.13 | GROUND_INST: instantiating (30) with all_12_8, all_28_116, e11, e13, % 58.80/9.13 | simplifying with (124), (375) gives: % 58.80/9.13 | (557) all_28_116 = all_12_8 % 58.80/9.13 | % 58.80/9.13 | GROUND_INST: instantiating (30) with all_12_4, all_20_3, e12, e13, simplifying % 58.80/9.13 | with (125), (265) gives: % 58.80/9.13 | (558) all_20_3 = all_12_4 % 58.80/9.13 | % 58.80/9.13 | GROUND_INST: instantiating (30) with all_20_3, all_24_1, e12, e13, simplifying % 58.80/9.13 | with (265), (303) gives: % 58.80/9.13 | (559) all_24_1 = all_20_3 % 58.80/9.13 | % 58.80/9.13 | GROUND_INST: instantiating (30) with all_24_1, all_28_113, e12, e13, % 58.80/9.13 | simplifying with (303), (376) gives: % 58.80/9.13 | (560) all_28_113 = all_24_1 % 58.80/9.13 | % 58.80/9.13 | GROUND_INST: instantiating (30) with all_16_1, all_28_113, e12, e13, % 58.80/9.13 | simplifying with (207), (376) gives: % 58.80/9.13 | (561) all_28_113 = all_16_1 % 58.80/9.13 | % 58.80/9.13 | GROUND_INST: instantiating (30) with all_16_0, all_24_0, e13, e13, simplifying % 58.80/9.13 | with (208), (304) gives: % 58.80/9.13 | (562) all_24_0 = all_16_0 % 58.80/9.13 | % 58.80/9.13 | GROUND_INST: instantiating (30) with all_24_0, all_28_110, e13, e13, % 58.80/9.13 | simplifying with (304), (377) gives: % 58.80/9.13 | (563) all_28_110 = all_24_0 % 58.80/9.13 | % 58.80/9.13 | GROUND_INST: instantiating (30) with all_20_10, all_28_110, e13, e13, % 58.80/9.13 | simplifying with (266), (377) gives: % 58.80/9.13 | (564) all_28_110 = all_20_10 % 58.80/9.13 | % 58.80/9.13 | GROUND_INST: instantiating (30) with all_12_0, all_28_110, e13, e13, % 58.80/9.13 | simplifying with (126), (377) gives: % 58.80/9.13 | (565) all_28_110 = all_12_0 % 58.80/9.13 | % 58.80/9.13 | GROUND_INST: instantiating (31) with all_10_2, all_18_15, e20, e20, % 58.80/9.13 | simplifying with (56), (222) gives: % 58.80/9.13 | (566) all_18_15 = all_10_2 % 58.80/9.13 | % 58.80/9.13 | GROUND_INST: instantiating (31) with all_18_15, all_22_15, e20, e20, % 58.80/9.13 | simplifying with (222), (270) gives: % 58.80/9.13 | (567) all_22_15 = all_18_15 % 58.80/9.13 | % 58.80/9.13 | GROUND_INST: instantiating (31) with e21, all_22_15, e20, e20, simplifying % 58.80/9.13 | with (18), (270) gives: % 58.80/9.13 | (568) all_22_15 = e21 % 58.80/9.13 | % 58.80/9.13 | GROUND_INST: instantiating (31) with all_22_15, all_26_15, e20, e20, % 58.80/9.13 | simplifying with (270), (323) gives: % 58.80/9.13 | (569) all_26_15 = all_22_15 % 58.80/9.13 | % 58.80/9.13 | GROUND_INST: instantiating (31) with all_14_15, all_26_15, e20, e20, % 58.80/9.13 | simplifying with (176), (323) gives: % 58.80/9.13 | (570) all_26_15 = all_14_15 % 58.80/9.13 | % 58.80/9.13 | GROUND_INST: instantiating (31) with all_18_14, all_22_8, e21, e20, % 58.80/9.13 | simplifying with (223), (271) gives: % 58.80/9.13 | (571) all_22_8 = all_18_14 % 58.80/9.13 | % 58.80/9.13 | GROUND_INST: instantiating (31) with all_14_11, all_22_8, e21, e20, % 58.80/9.13 | simplifying with (177), (271) gives: % 58.80/9.14 | (572) all_22_8 = all_14_11 % 58.80/9.14 | % 58.80/9.14 | GROUND_INST: instantiating (31) with all_22_8, all_26_14, e21, e20, % 58.80/9.14 | simplifying with (271), (324) gives: % 58.80/9.14 | (573) all_26_14 = all_22_8 % 58.80/9.14 | % 58.80/9.14 | GROUND_INST: instantiating (31) with e22, all_26_14, e21, e20, simplifying % 58.80/9.14 | with (19), (324) gives: % 58.80/9.14 | (574) all_26_14 = e22 % 58.80/9.14 | % 58.80/9.14 | GROUND_INST: instantiating (31) with all_22_5, all_26_13, e22, e20, % 58.80/9.14 | simplifying with (272), (325) gives: % 58.80/9.14 | (575) all_26_13 = all_22_5 % 58.80/9.14 | % 58.80/9.14 | GROUND_INST: instantiating (31) with all_18_13, all_26_13, e22, e20, % 58.80/9.14 | simplifying with (224), (325) gives: % 58.80/9.14 | (576) all_26_13 = all_18_13 % 58.80/9.14 | % 58.80/9.14 | GROUND_INST: instantiating (31) with all_14_7, all_26_13, e22, e20, % 58.80/9.14 | simplifying with (178), (325) gives: % 58.80/9.14 | (577) all_26_13 = all_14_7 % 58.80/9.14 | % 58.80/9.14 | GROUND_INST: instantiating (31) with all_18_12, all_22_2, e23, e20, % 58.80/9.14 | simplifying with (225), (273) gives: % 58.80/9.14 | (578) all_22_2 = all_18_12 % 58.80/9.14 | % 58.80/9.14 | GROUND_INST: instantiating (31) with all_22_2, all_26_12, e23, e20, % 58.80/9.14 | simplifying with (273), (326) gives: % 58.80/9.14 | (579) all_26_12 = all_22_2 % 58.80/9.14 | % 58.80/9.14 | GROUND_INST: instantiating (31) with all_14_3, all_26_12, e23, e20, % 58.80/9.14 | simplifying with (179), (326) gives: % 58.80/9.14 | (580) all_26_12 = all_14_3 % 58.80/9.14 | % 58.80/9.14 | GROUND_INST: instantiating (31) with all_22_13, all_26_11, e20, e21, % 58.80/9.14 | simplifying with (274), (327) gives: % 58.80/9.14 | (581) all_26_11 = all_22_13 % 58.80/9.14 | % 58.80/9.14 | GROUND_INST: instantiating (31) with all_18_11, all_26_11, e20, e21, % 58.80/9.14 | simplifying with (226), (327) gives: % 58.80/9.14 | (582) all_26_11 = all_18_11 % 58.80/9.14 | % 58.80/9.14 | GROUND_INST: instantiating (31) with all_14_14, all_26_11, e20, e21, % 58.80/9.14 | simplifying with (180), (327) gives: % 58.80/9.14 | (583) all_26_11 = all_14_14 % 58.80/9.14 | % 58.80/9.14 | GROUND_INST: instantiating (31) with all_18_10, all_22_14, e21, e21, % 58.80/9.14 | simplifying with (227), (275) gives: % 58.80/9.14 | (584) all_22_14 = all_18_10 % 58.80/9.14 | % 58.80/9.14 | GROUND_INST: instantiating (31) with all_4_2, all_22_14, e21, e21, simplifying % 58.80/9.14 | with (33), (275) gives: % 58.80/9.14 | (585) all_22_14 = all_4_2 % 58.80/9.14 | % 58.80/9.14 | GROUND_INST: instantiating (31) with all_22_14, all_26_8, e21, e21, % 58.80/9.14 | simplifying with (275), (328) gives: % 58.80/9.14 | (586) all_26_8 = all_22_14 % 58.80/9.14 | % 58.80/9.14 | GROUND_INST: instantiating (31) with all_14_10, all_26_8, e21, e21, % 58.80/9.14 | simplifying with (181), (328) gives: % 58.80/9.14 | (587) all_26_8 = all_14_10 % 58.80/9.14 | % 58.80/9.14 | GROUND_INST: instantiating (31) with all_18_9, all_22_4, e22, e21, simplifying % 58.80/9.14 | with (228), (276) gives: % 58.80/9.14 | (588) all_22_4 = all_18_9 % 58.80/9.14 | % 58.80/9.14 | GROUND_INST: instantiating (31) with all_22_4, all_26_7, e22, e21, simplifying % 58.80/9.14 | with (276), (329) gives: % 58.80/9.14 | (589) all_26_7 = all_22_4 % 58.80/9.14 | % 58.80/9.14 | GROUND_INST: instantiating (31) with all_14_6, all_26_7, e22, e21, simplifying % 58.80/9.14 | with (182), (329) gives: % 58.80/9.14 | (590) all_26_7 = all_14_6 % 58.80/9.14 | % 58.80/9.14 | GROUND_INST: instantiating (31) with all_18_8, all_22_1, e23, e21, simplifying % 58.80/9.14 | with (229), (277) gives: % 58.80/9.14 | (591) all_22_1 = all_18_8 % 58.80/9.14 | % 58.80/9.14 | GROUND_INST: instantiating (31) with all_22_1, all_26_6, e23, e21, simplifying % 58.80/9.14 | with (277), (330) gives: % 58.80/9.14 | (592) all_26_6 = all_22_1 % 58.80/9.14 | % 58.80/9.14 | GROUND_INST: instantiating (31) with all_14_2, all_26_6, e23, e21, simplifying % 58.80/9.14 | with (183), (330) gives: % 58.80/9.14 | (593) all_26_6 = all_14_2 % 58.80/9.14 | % 58.80/9.14 | GROUND_INST: instantiating (31) with all_14_13, all_18_7, e20, e22, % 58.80/9.14 | simplifying with (184), (230) gives: % 58.80/9.14 | (594) all_18_7 = all_14_13 % 58.80/9.14 | % 58.80/9.14 | GROUND_INST: instantiating (31) with all_18_7, all_22_11, e20, e22, % 58.80/9.14 | simplifying with (230), (278) gives: % 58.80/9.14 | (595) all_22_11 = all_18_7 % 58.80/9.14 | % 58.80/9.14 | GROUND_INST: instantiating (31) with all_22_11, all_26_10, e20, e22, % 58.80/9.14 | simplifying with (278), (331) gives: % 58.80/9.14 | (596) all_26_10 = all_22_11 % 58.80/9.14 | % 58.80/9.14 | GROUND_INST: instantiating (31) with e23, all_26_10, e20, e22, simplifying % 58.80/9.14 | with (20), (331) gives: % 58.80/9.14 | (597) all_26_10 = e23 % 58.80/9.14 | % 58.80/9.14 | GROUND_INST: instantiating (31) with all_18_6, all_22_7, e21, e22, simplifying % 58.80/9.14 | with (231), (279) gives: % 58.80/9.14 | (598) all_22_7 = all_18_6 % 58.80/9.14 | % 58.80/9.14 | GROUND_INST: instantiating (31) with all_22_7, all_26_5, e21, e22, simplifying % 58.80/9.14 | with (279), (332) gives: % 58.80/9.14 | (599) all_26_5 = all_22_7 % 58.80/9.14 | % 58.80/9.14 | GROUND_INST: instantiating (31) with all_14_9, all_26_5, e21, e22, simplifying % 58.80/9.14 | with (185), (332) gives: % 58.80/9.14 | (600) all_26_5 = all_14_9 % 58.80/9.14 | % 58.80/9.14 | GROUND_INST: instantiating (31) with all_14_5, all_18_5, e22, e22, simplifying % 58.80/9.14 | with (186), (232) gives: % 58.80/9.14 | (601) all_18_5 = all_14_5 % 58.80/9.14 | % 58.80/9.14 | GROUND_INST: instantiating (31) with all_18_5, all_22_12, e22, e22, % 58.80/9.14 | simplifying with (232), (280) gives: % 58.80/9.14 | (602) all_22_12 = all_18_5 % 58.80/9.14 | % 58.80/9.14 | GROUND_INST: instantiating (31) with all_22_12, all_26_3, e22, e22, % 58.80/9.14 | simplifying with (280), (333) gives: % 58.80/9.14 | (603) all_26_3 = all_22_12 % 58.80/9.14 | % 58.80/9.14 | GROUND_INST: instantiating (31) with all_6_2, all_26_3, e22, e22, simplifying % 58.80/9.14 | with (41), (333) gives: % 58.80/9.14 | (604) all_26_3 = all_6_2 % 58.80/9.14 | % 58.80/9.14 | GROUND_INST: instantiating (31) with all_18_4, all_22_0, e23, e22, simplifying % 58.80/9.14 | with (233), (281) gives: % 58.80/9.14 | (605) all_22_0 = all_18_4 % 58.80/9.14 | % 58.80/9.14 | GROUND_INST: instantiating (31) with all_22_0, all_26_2, e23, e22, simplifying % 58.80/9.14 | with (281), (334) gives: % 58.80/9.14 | (606) all_26_2 = all_22_0 % 58.80/9.14 | % 58.80/9.14 | GROUND_INST: instantiating (31) with all_14_1, all_26_2, e23, e22, simplifying % 58.80/9.14 | with (187), (334) gives: % 58.80/9.14 | (607) all_26_2 = all_14_1 % 58.80/9.14 | % 58.80/9.14 | GROUND_INST: instantiating (31) with all_18_3, all_22_9, e20, e23, simplifying % 58.80/9.14 | with (234), (282) gives: % 58.80/9.14 | (608) all_22_9 = all_18_3 % 58.80/9.14 | % 58.80/9.14 | GROUND_INST: instantiating (31) with all_22_9, all_26_9, e20, e23, simplifying % 58.80/9.14 | with (282), (335) gives: % 58.80/9.14 | (609) all_26_9 = all_22_9 % 58.80/9.14 | % 58.80/9.14 | GROUND_INST: instantiating (31) with all_14_12, all_26_9, e20, e23, % 58.80/9.14 | simplifying with (188), (335) gives: % 58.80/9.14 | (610) all_26_9 = all_14_12 % 58.80/9.14 | % 58.80/9.14 | GROUND_INST: instantiating (31) with all_18_2, all_22_6, e21, e23, simplifying % 58.80/9.14 | with (235), (283) gives: % 58.80/9.14 | (611) all_22_6 = all_18_2 % 58.80/9.14 | % 58.80/9.14 | GROUND_INST: instantiating (31) with all_22_6, all_26_4, e21, e23, simplifying % 58.80/9.14 | with (283), (336) gives: % 58.80/9.14 | (612) all_26_4 = all_22_6 % 58.80/9.14 | % 58.80/9.14 | GROUND_INST: instantiating (31) with all_14_8, all_26_4, e21, e23, simplifying % 58.80/9.14 | with (189), (336) gives: % 58.80/9.14 | (613) all_26_4 = all_14_8 % 58.80/9.14 | % 58.80/9.14 | GROUND_INST: instantiating (31) with all_22_3, all_26_1, e22, e23, simplifying % 58.80/9.14 | with (284), (337) gives: % 58.80/9.14 | (614) all_26_1 = all_22_3 % 58.80/9.14 | % 58.80/9.14 | GROUND_INST: instantiating (31) with all_18_1, all_26_1, e22, e23, simplifying % 58.80/9.14 | with (236), (337) gives: % 58.80/9.14 | (615) all_26_1 = all_18_1 % 58.80/9.14 | % 58.80/9.14 | GROUND_INST: instantiating (31) with all_14_4, all_26_1, e22, e23, simplifying % 58.80/9.14 | with (190), (337) gives: % 58.80/9.14 | (616) all_26_1 = all_14_4 % 58.80/9.14 | % 58.80/9.14 | GROUND_INST: instantiating (31) with all_14_0, all_18_0, e23, e23, simplifying % 58.80/9.14 | with (191), (237) gives: % 58.80/9.14 | (617) all_18_0 = all_14_0 % 58.80/9.14 | % 58.80/9.14 | GROUND_INST: instantiating (31) with all_18_0, all_22_10, e23, e23, % 58.80/9.14 | simplifying with (237), (285) gives: % 58.80/9.14 | (618) all_22_10 = all_18_0 % 58.80/9.14 | % 58.80/9.14 | GROUND_INST: instantiating (31) with all_22_10, all_26_0, e23, e23, % 58.80/9.14 | simplifying with (285), (338) gives: % 58.80/9.14 | (619) all_26_0 = all_22_10 % 58.80/9.14 | % 58.80/9.14 | GROUND_INST: instantiating (31) with all_8_2, all_26_0, e23, e23, simplifying % 58.80/9.14 | with (48), (338) gives: % 58.80/9.14 | (620) all_26_0 = all_8_2 % 58.80/9.14 | % 58.80/9.14 | GROUND_INST: instantiating (26) with e20, all_28_157, e10, simplifying with % 58.80/9.14 | (59), (433) gives: % 58.80/9.14 | (621) all_28_157 = e20 % 58.80/9.14 | % 58.80/9.14 | GROUND_INST: instantiating (26) with all_10_2, all_28_153, e11, simplifying % 58.80/9.14 | with (60), (434) gives: % 58.80/9.14 | (622) all_28_153 = all_10_2 % 58.80/9.14 | % 58.80/9.14 | GROUND_INST: instantiating (26) with all_10_1, all_28_149, e12, simplifying % 58.80/9.14 | with (61), (435) gives: % 58.80/9.14 | (623) all_28_149 = all_10_1 % 58.80/9.14 | % 58.80/9.14 | GROUND_INST: instantiating (26) with all_10_0, all_28_145, e13, simplifying % 58.80/9.14 | with (62), (436) gives: % 58.80/9.14 | (624) all_28_145 = all_10_0 % 58.80/9.14 | % 58.80/9.14 | GROUND_INST: instantiating (27) with e21, all_28_106, e10, simplifying with % 58.80/9.14 | (36), (453) gives: % 58.80/9.14 | (625) all_28_106 = e21 % 58.80/9.14 | % 58.80/9.14 | GROUND_INST: instantiating (27) with all_4_2, all_28_103, e11, simplifying % 58.80/9.14 | with (37), (454) gives: % 58.80/9.14 | (626) all_28_103 = all_4_2 % 58.80/9.14 | % 58.80/9.14 | GROUND_INST: instantiating (27) with all_4_1, all_28_100, e12, simplifying % 58.80/9.14 | with (38), (455) gives: % 58.80/9.14 | (627) all_28_100 = all_4_1 % 58.80/9.14 | % 58.80/9.14 | GROUND_INST: instantiating (27) with all_4_0, all_28_97, e13, simplifying with % 58.80/9.14 | (39), (456) gives: % 58.80/9.14 | (628) all_28_97 = all_4_0 % 58.80/9.14 | % 58.80/9.14 | GROUND_INST: instantiating (28) with e22, all_28_70, e10, simplifying with % 58.80/9.14 | (44), (473) gives: % 58.80/9.14 | (629) all_28_70 = e22 % 58.80/9.14 | % 58.80/9.14 | GROUND_INST: instantiating (28) with all_6_2, all_28_67, e11, simplifying with % 58.80/9.14 | (45), (474) gives: % 58.80/9.14 | (630) all_28_67 = all_6_2 % 58.80/9.14 | % 58.80/9.14 | GROUND_INST: instantiating (28) with all_6_1, all_28_64, e12, simplifying with % 58.80/9.14 | (46), (475) gives: % 58.80/9.14 | (631) all_28_64 = all_6_1 % 58.80/9.14 | % 58.80/9.14 | GROUND_INST: instantiating (29) with e23, all_28_34, e10, simplifying with % 58.80/9.14 | (51), (476) gives: % 58.80/9.14 | (632) all_28_34 = e23 % 58.80/9.14 | % 58.80/9.14 | GROUND_INST: instantiating (29) with all_8_2, all_28_31, e11, simplifying with % 58.80/9.14 | (52), (477) gives: % 58.80/9.14 | (633) all_28_31 = all_8_2 % 58.80/9.14 | % 58.80/9.14 | GROUND_INST: instantiating (29) with all_8_1, all_28_28, e12, simplifying with % 58.80/9.14 | (53), (478) gives: % 58.80/9.14 | (634) all_28_28 = all_8_1 % 58.80/9.14 | % 58.80/9.14 | GROUND_INST: instantiating (29) with all_8_0, all_28_25, e13, simplifying with % 58.80/9.14 | (54), (479) gives: % 58.80/9.14 | (635) all_28_25 = all_8_0 % 58.80/9.14 | % 58.80/9.14 | COMBINE_EQS: (564), (565) imply: % 58.80/9.14 | (636) all_20_10 = all_12_0 % 58.80/9.14 | % 58.80/9.14 | COMBINE_EQS: (563), (564) imply: % 58.80/9.14 | (637) all_24_0 = all_20_10 % 58.80/9.14 | % 58.80/9.14 | SIMP: (637) implies: % 58.80/9.14 | (638) all_24_0 = all_20_10 % 58.80/9.14 | % 58.80/9.14 | COMBINE_EQS: (560), (561) imply: % 58.80/9.14 | (639) all_24_1 = all_16_1 % 58.80/9.14 | % 58.80/9.14 | SIMP: (639) implies: % 58.80/9.14 | (640) all_24_1 = all_16_1 % 58.80/9.14 | % 58.80/9.14 | COMBINE_EQS: (555), (557) imply: % 58.80/9.14 | (641) all_24_4 = all_12_8 % 58.80/9.14 | % 58.80/9.14 | COMBINE_EQS: (555), (556) imply: % 58.80/9.14 | (642) all_24_4 = all_20_6 % 58.80/9.14 | % 58.80/9.14 | COMBINE_EQS: (552), (553) imply: % 58.80/9.14 | (643) all_20_9 = all_12_12 % 58.80/9.14 | % 58.80/9.14 | SIMP: (643) implies: % 58.80/9.14 | (644) all_20_9 = all_12_12 % 58.80/9.14 | % 58.80/9.14 | COMBINE_EQS: (548), (549) imply: % 58.80/9.14 | (645) all_24_2 = all_12_1 % 58.80/9.14 | % 58.80/9.14 | SIMP: (645) implies: % 58.80/9.14 | (646) all_24_2 = all_12_1 % 58.80/9.15 | % 58.80/9.15 | COMBINE_EQS: (544), (545) imply: % 58.80/9.15 | (647) all_24_3 = all_12_5 % 58.80/9.15 | % 58.80/9.15 | SIMP: (647) implies: % 58.80/9.15 | (648) all_24_3 = all_12_5 % 58.80/9.15 | % 58.80/9.15 | COMBINE_EQS: (538), (539) imply: % 58.80/9.15 | (649) all_24_5 = all_20_7 % 58.80/9.15 | % 58.80/9.15 | COMBINE_EQS: (538), (540) imply: % 58.80/9.15 | (650) all_24_5 = all_16_6 % 58.80/9.15 | % 58.80/9.15 | COMBINE_EQS: (538), (541) imply: % 58.80/9.15 | (651) all_24_5 = all_12_9 % 58.80/9.15 | % 58.80/9.15 | COMBINE_EQS: (536), (537) imply: % 58.80/9.15 | (652) all_16_7 = all_12_13 % 58.80/9.15 | % 58.80/9.15 | SIMP: (652) implies: % 58.80/9.15 | (653) all_16_7 = all_12_13 % 58.80/9.15 | % 58.80/9.15 | COMBINE_EQS: (531), (532) imply: % 58.80/9.15 | (654) all_24_6 = all_12_2 % 58.80/9.15 | % 58.80/9.15 | SIMP: (654) implies: % 58.80/9.15 | (655) all_24_6 = all_12_2 % 58.80/9.15 | % 58.80/9.15 | COMBINE_EQS: (527), (528) imply: % 58.80/9.15 | (656) all_24_7 = all_16_9 % 58.80/9.15 | % 58.80/9.15 | SIMP: (656) implies: % 58.80/9.15 | (657) all_24_7 = all_16_9 % 58.80/9.15 | % 58.80/9.15 | COMBINE_EQS: (522), (523) imply: % 58.80/9.15 | (658) all_24_8 = all_20_14 % 58.80/9.15 | % 58.80/9.15 | SIMP: (658) implies: % 58.80/9.15 | (659) all_24_8 = all_20_14 % 58.80/9.15 | % 58.80/9.15 | COMBINE_EQS: (523), (524) imply: % 58.80/9.15 | (660) all_20_14 = all_16_10 % 58.80/9.15 | % 58.80/9.15 | COMBINE_EQS: (517), (519) imply: % 58.80/9.15 | (661) all_24_11 = all_16_11 % 58.80/9.15 | % 58.80/9.15 | COMBINE_EQS: (517), (520) imply: % 58.80/9.15 | (662) all_24_11 = all_12_14 % 58.80/9.15 | % 58.80/9.15 | COMBINE_EQS: (517), (518) imply: % 58.80/9.15 | (663) all_24_11 = all_20_13 % 58.80/9.15 | % 58.80/9.15 | COMBINE_EQS: (514), (516) imply: % 58.80/9.15 | (664) all_24_12 = all_16_12 % 58.80/9.15 | % 58.80/9.15 | COMBINE_EQS: (514), (515) imply: % 58.80/9.15 | (665) all_24_12 = all_20_2 % 58.80/9.15 | % 58.80/9.15 | COMBINE_EQS: (511), (512) imply: % 58.80/9.15 | (666) all_20_5 = all_12_7 % 58.80/9.15 | % 58.80/9.15 | SIMP: (666) implies: % 58.80/9.15 | (667) all_20_5 = all_12_7 % 58.80/9.15 | % 58.80/9.15 | COMBINE_EQS: (507), (508) imply: % 58.80/9.15 | (668) all_24_14 = all_16_14 % 58.80/9.15 | % 58.80/9.15 | SIMP: (668) implies: % 58.80/9.15 | (669) all_24_14 = all_16_14 % 58.80/9.15 | % 58.80/9.15 | COMBINE_EQS: (502), (503) imply: % 58.80/9.15 | (670) all_20_15 = all_12_15 % 58.80/9.15 | % 58.80/9.15 | SIMP: (670) implies: % 58.80/9.15 | (671) all_20_15 = all_12_15 % 58.80/9.15 | % 58.80/9.15 | COMBINE_EQS: (619), (620) imply: % 58.80/9.15 | (672) all_22_10 = all_8_2 % 58.80/9.15 | % 58.80/9.15 | SIMP: (672) implies: % 58.80/9.15 | (673) all_22_10 = all_8_2 % 58.80/9.15 | % 58.80/9.15 | COMBINE_EQS: (614), (616) imply: % 58.80/9.15 | (674) all_22_3 = all_14_4 % 58.80/9.15 | % 58.80/9.15 | COMBINE_EQS: (614), (615) imply: % 58.80/9.15 | (675) all_22_3 = all_18_1 % 58.80/9.15 | % 58.80/9.15 | COMBINE_EQS: (606), (607) imply: % 58.80/9.15 | (676) all_22_0 = all_14_1 % 58.80/9.15 | % 58.80/9.15 | SIMP: (676) implies: % 58.80/9.15 | (677) all_22_0 = all_14_1 % 58.80/9.15 | % 58.80/9.15 | COMBINE_EQS: (603), (604) imply: % 58.80/9.15 | (678) all_22_12 = all_6_2 % 58.80/9.15 | % 58.80/9.15 | SIMP: (678) implies: % 58.80/9.15 | (679) all_22_12 = all_6_2 % 58.80/9.15 | % 58.80/9.15 | COMBINE_EQS: (612), (613) imply: % 58.80/9.15 | (680) all_22_6 = all_14_8 % 58.80/9.15 | % 58.80/9.15 | SIMP: (680) implies: % 58.80/9.15 | (681) all_22_6 = all_14_8 % 58.80/9.15 | % 58.80/9.15 | COMBINE_EQS: (599), (600) imply: % 58.80/9.15 | (682) all_22_7 = all_14_9 % 58.80/9.15 | % 58.80/9.15 | SIMP: (682) implies: % 58.80/9.15 | (683) all_22_7 = all_14_9 % 58.80/9.15 | % 58.80/9.15 | COMBINE_EQS: (592), (593) imply: % 58.80/9.15 | (684) all_22_1 = all_14_2 % 58.80/9.15 | % 58.80/9.15 | SIMP: (684) implies: % 58.80/9.15 | (685) all_22_1 = all_14_2 % 58.80/9.15 | % 58.80/9.15 | COMBINE_EQS: (589), (590) imply: % 58.80/9.15 | (686) all_22_4 = all_14_6 % 58.80/9.15 | % 58.80/9.15 | SIMP: (686) implies: % 58.80/9.15 | (687) all_22_4 = all_14_6 % 58.80/9.15 | % 58.80/9.15 | COMBINE_EQS: (586), (587) imply: % 58.80/9.15 | (688) all_22_14 = all_14_10 % 58.80/9.15 | % 58.80/9.15 | SIMP: (688) implies: % 58.80/9.15 | (689) all_22_14 = all_14_10 % 58.80/9.15 | % 58.80/9.15 | COMBINE_EQS: (609), (610) imply: % 58.80/9.15 | (690) all_22_9 = all_14_12 % 58.80/9.15 | % 58.80/9.15 | SIMP: (690) implies: % 58.80/9.15 | (691) all_22_9 = all_14_12 % 58.80/9.15 | % 58.80/9.15 | COMBINE_EQS: (596), (597) imply: % 58.80/9.15 | (692) all_22_11 = e23 % 58.80/9.15 | % 58.80/9.15 | SIMP: (692) implies: % 58.80/9.15 | (693) all_22_11 = e23 % 58.80/9.15 | % 58.80/9.15 | COMBINE_EQS: (581), (583) imply: % 58.80/9.15 | (694) all_22_13 = all_14_14 % 58.80/9.15 | % 58.80/9.15 | COMBINE_EQS: (581), (582) imply: % 58.80/9.15 | (695) all_22_13 = all_18_11 % 58.80/9.15 | % 58.80/9.15 | COMBINE_EQS: (579), (580) imply: % 58.80/9.15 | (696) all_22_2 = all_14_3 % 58.80/9.15 | % 58.80/9.15 | SIMP: (696) implies: % 58.80/9.15 | (697) all_22_2 = all_14_3 % 58.80/9.15 | % 58.80/9.15 | COMBINE_EQS: (575), (577) imply: % 58.80/9.15 | (698) all_22_5 = all_14_7 % 58.80/9.15 | % 58.80/9.15 | COMBINE_EQS: (575), (576) imply: % 58.80/9.15 | (699) all_22_5 = all_18_13 % 58.80/9.15 | % 58.80/9.15 | COMBINE_EQS: (573), (574) imply: % 58.80/9.15 | (700) all_22_8 = e22 % 58.80/9.15 | % 58.80/9.15 | SIMP: (700) implies: % 58.80/9.15 | (701) all_22_8 = e22 % 58.80/9.15 | % 58.80/9.15 | COMBINE_EQS: (569), (570) imply: % 58.80/9.15 | (702) all_22_15 = all_14_15 % 58.80/9.15 | % 58.80/9.15 | SIMP: (702) implies: % 58.80/9.15 | (703) all_22_15 = all_14_15 % 58.80/9.15 | % 58.80/9.15 | COMBINE_EQS: (562), (638) imply: % 58.80/9.15 | (704) all_20_10 = all_16_0 % 58.80/9.15 | % 58.80/9.15 | SIMP: (704) implies: % 58.80/9.15 | (705) all_20_10 = all_16_0 % 58.80/9.15 | % 58.80/9.15 | COMBINE_EQS: (559), (640) imply: % 58.80/9.15 | (706) all_20_3 = all_16_1 % 58.80/9.15 | % 58.80/9.15 | SIMP: (706) implies: % 58.80/9.15 | (707) all_20_3 = all_16_1 % 58.80/9.15 | % 58.80/9.15 | COMBINE_EQS: (546), (646) imply: % 58.80/9.15 | (708) all_20_0 = all_12_1 % 58.80/9.15 | % 58.80/9.15 | COMBINE_EQS: (546), (547) imply: % 58.80/9.15 | (709) all_20_0 = all_16_4 % 58.80/9.15 | % 58.80/9.15 | COMBINE_EQS: (543), (648) imply: % 58.80/9.15 | (710) all_20_12 = all_12_5 % 58.80/9.15 | % 58.80/9.15 | SIMP: (710) implies: % 58.80/9.15 | (711) all_20_12 = all_12_5 % 58.80/9.15 | % 58.80/9.15 | COMBINE_EQS: (641), (642) imply: % 58.80/9.15 | (712) all_20_6 = all_12_8 % 58.80/9.15 | % 58.80/9.15 | SIMP: (712) implies: % 58.80/9.15 | (713) all_20_6 = all_12_8 % 58.80/9.15 | % 58.80/9.15 | COMBINE_EQS: (649), (651) imply: % 58.80/9.15 | (714) all_20_7 = all_12_9 % 58.80/9.15 | % 58.80/9.15 | COMBINE_EQS: (649), (650) imply: % 58.80/9.15 | (715) all_20_7 = all_16_6 % 58.80/9.15 | % 58.80/9.15 | COMBINE_EQS: (529), (530) imply: % 58.80/9.15 | (716) all_20_1 = all_16_8 % 58.80/9.15 | % 58.80/9.15 | COMBINE_EQS: (529), (655) imply: % 58.80/9.15 | (717) all_20_1 = all_12_2 % 58.80/9.15 | % 58.80/9.15 | COMBINE_EQS: (526), (657) imply: % 58.80/9.15 | (718) all_20_4 = all_16_9 % 58.80/9.15 | % 58.80/9.15 | SIMP: (718) implies: % 58.80/9.15 | (719) all_20_4 = all_16_9 % 58.80/9.15 | % 58.80/9.15 | COMBINE_EQS: (521), (659) imply: % 58.80/9.15 | (720) all_20_14 = all_12_10 % 58.80/9.15 | % 58.80/9.15 | SIMP: (720) implies: % 58.80/9.15 | (721) all_20_14 = all_12_10 % 58.80/9.15 | % 58.80/9.15 | COMBINE_EQS: (550), (551) imply: % 58.80/9.15 | (722) all_20_9 = all_16_3 % 58.80/9.15 | % 58.80/9.15 | SIMP: (722) implies: % 58.80/9.15 | (723) all_20_9 = all_16_3 % 58.80/9.15 | % 58.80/9.15 | COMBINE_EQS: (534), (535) imply: % 58.80/9.15 | (724) all_20_11 = e13 % 58.80/9.15 | % 58.80/9.15 | SIMP: (724) implies: % 58.80/9.15 | (725) all_20_11 = e13 % 58.80/9.15 | % 58.80/9.15 | COMBINE_EQS: (661), (663) imply: % 58.80/9.15 | (726) all_20_13 = all_16_11 % 58.80/9.15 | % 58.80/9.15 | COMBINE_EQS: (662), (663) imply: % 58.80/9.15 | (727) all_20_13 = all_12_14 % 58.80/9.15 | % 58.80/9.15 | COMBINE_EQS: (664), (665) imply: % 58.80/9.15 | (728) all_20_2 = all_16_12 % 58.80/9.15 | % 58.80/9.15 | SIMP: (728) implies: % 58.80/9.15 | (729) all_20_2 = all_16_12 % 58.80/9.15 | % 58.80/9.15 | COMBINE_EQS: (509), (510) imply: % 58.80/9.15 | (730) all_20_5 = all_16_13 % 58.80/9.15 | % 58.80/9.15 | SIMP: (730) implies: % 58.80/9.15 | (731) all_20_5 = all_16_13 % 58.80/9.15 | % 58.80/9.15 | COMBINE_EQS: (506), (669) imply: % 58.80/9.15 | (732) all_20_8 = all_16_14 % 58.80/9.15 | % 58.80/9.15 | SIMP: (732) implies: % 58.80/9.15 | (733) all_20_8 = all_16_14 % 58.80/9.15 | % 58.80/9.15 | COMBINE_EQS: (499), (500) imply: % 58.80/9.15 | (734) all_20_15 = all_16_15 % 58.80/9.15 | % 58.80/9.15 | SIMP: (734) implies: % 58.80/9.15 | (735) all_20_15 = all_16_15 % 58.80/9.15 | % 58.80/9.15 | COMBINE_EQS: (500), (501) imply: % 58.80/9.15 | (736) all_16_15 = e11 % 58.80/9.15 | % 58.80/9.15 | COMBINE_EQS: (605), (677) imply: % 58.80/9.15 | (737) all_18_4 = all_14_1 % 58.80/9.15 | % 58.80/9.15 | SIMP: (737) implies: % 58.80/9.15 | (738) all_18_4 = all_14_1 % 58.80/9.15 | % 58.80/9.15 | COMBINE_EQS: (591), (685) imply: % 58.80/9.15 | (739) all_18_8 = all_14_2 % 58.80/9.15 | % 58.80/9.15 | COMBINE_EQS: (578), (697) imply: % 58.80/9.15 | (740) all_18_12 = all_14_3 % 58.80/9.15 | % 58.80/9.15 | SIMP: (740) implies: % 58.80/9.15 | (741) all_18_12 = all_14_3 % 58.80/9.15 | % 58.80/9.15 | COMBINE_EQS: (674), (675) imply: % 58.80/9.15 | (742) all_18_1 = all_14_4 % 58.80/9.15 | % 58.80/9.15 | SIMP: (742) implies: % 58.80/9.15 | (743) all_18_1 = all_14_4 % 58.80/9.15 | % 58.80/9.15 | COMBINE_EQS: (588), (687) imply: % 58.80/9.15 | (744) all_18_9 = all_14_6 % 58.80/9.15 | % 58.80/9.15 | COMBINE_EQS: (698), (699) imply: % 58.80/9.15 | (745) all_18_13 = all_14_7 % 58.80/9.15 | % 58.80/9.15 | SIMP: (745) implies: % 58.80/9.15 | (746) all_18_13 = all_14_7 % 58.80/9.15 | % 58.80/9.15 | COMBINE_EQS: (611), (681) imply: % 58.80/9.15 | (747) all_18_2 = all_14_8 % 58.80/9.15 | % 58.80/9.15 | COMBINE_EQS: (598), (683) imply: % 58.80/9.15 | (748) all_18_6 = all_14_9 % 58.80/9.15 | % 58.80/9.15 | COMBINE_EQS: (571), (572) imply: % 58.80/9.15 | (749) all_18_14 = all_14_11 % 58.80/9.15 | % 58.80/9.15 | COMBINE_EQS: (571), (701) imply: % 58.80/9.15 | (750) all_18_14 = e22 % 58.80/9.15 | % 58.80/9.15 | COMBINE_EQS: (608), (691) imply: % 58.80/9.15 | (751) all_18_3 = all_14_12 % 58.80/9.15 | % 58.80/9.15 | SIMP: (751) implies: % 58.80/9.15 | (752) all_18_3 = all_14_12 % 58.80/9.15 | % 58.80/9.15 | COMBINE_EQS: (618), (673) imply: % 58.80/9.15 | (753) all_18_0 = all_8_2 % 58.80/9.15 | % 58.80/9.15 | SIMP: (753) implies: % 58.80/9.15 | (754) all_18_0 = all_8_2 % 58.80/9.15 | % 58.80/9.15 | COMBINE_EQS: (595), (693) imply: % 58.80/9.15 | (755) all_18_7 = e23 % 58.80/9.15 | % 58.80/9.15 | SIMP: (755) implies: % 58.80/9.15 | (756) all_18_7 = e23 % 58.80/9.15 | % 58.80/9.15 | COMBINE_EQS: (602), (679) imply: % 58.80/9.15 | (757) all_18_5 = all_6_2 % 58.80/9.15 | % 58.80/9.15 | SIMP: (757) implies: % 58.80/9.15 | (758) all_18_5 = all_6_2 % 58.80/9.15 | % 58.80/9.15 | COMBINE_EQS: (694), (695) imply: % 58.80/9.15 | (759) all_18_11 = all_14_14 % 58.80/9.15 | % 58.80/9.15 | SIMP: (759) implies: % 58.80/9.15 | (760) all_18_11 = all_14_14 % 58.80/9.15 | % 58.80/9.15 | COMBINE_EQS: (584), (689) imply: % 58.80/9.15 | (761) all_18_10 = all_14_10 % 58.80/9.15 | % 58.80/9.15 | COMBINE_EQS: (584), (585) imply: % 58.80/9.15 | (762) all_18_10 = all_4_2 % 58.80/9.15 | % 58.80/9.15 | COMBINE_EQS: (567), (703) imply: % 58.80/9.15 | (763) all_18_15 = all_14_15 % 58.80/9.15 | % 58.80/9.15 | SIMP: (763) implies: % 58.80/9.15 | (764) all_18_15 = all_14_15 % 58.80/9.15 | % 58.80/9.15 | COMBINE_EQS: (568), (703) imply: % 58.80/9.15 | (765) all_14_15 = e21 % 58.80/9.15 | % 58.80/9.15 | COMBINE_EQS: (708), (709) imply: % 58.80/9.15 | (766) all_16_4 = all_12_1 % 58.80/9.15 | % 58.80/9.15 | COMBINE_EQS: (716), (717) imply: % 58.80/9.15 | (767) all_16_8 = all_12_2 % 58.80/9.15 | % 58.80/9.15 | COMBINE_EQS: (513), (729) imply: % 58.80/9.15 | (768) all_16_12 = all_12_3 % 58.80/9.15 | % 58.80/9.15 | COMBINE_EQS: (558), (707) imply: % 58.80/9.15 | (769) all_16_1 = all_12_4 % 58.80/9.15 | % 58.80/9.15 | COMBINE_EQS: (525), (719) imply: % 58.80/9.15 | (770) all_16_9 = all_12_6 % 58.80/9.15 | % 58.80/9.15 | SIMP: (770) implies: % 58.80/9.15 | (771) all_16_9 = all_12_6 % 58.80/9.15 | % 58.80/9.15 | COMBINE_EQS: (667), (731) imply: % 58.80/9.15 | (772) all_16_13 = all_12_7 % 58.80/9.15 | % 58.80/9.15 | SIMP: (772) implies: % 58.80/9.15 | (773) all_16_13 = all_12_7 % 58.80/9.15 | % 58.80/9.15 | COMBINE_EQS: (554), (713) imply: % 58.80/9.15 | (774) all_16_2 = all_12_8 % 58.80/9.15 | % 58.80/9.15 | SIMP: (774) implies: % 58.80/9.15 | (775) all_16_2 = all_12_8 % 58.80/9.15 | % 58.80/9.15 | COMBINE_EQS: (714), (715) imply: % 58.80/9.15 | (776) all_16_6 = all_12_9 % 58.80/9.15 | % 58.80/9.15 | COMBINE_EQS: (505), (733) imply: % 58.80/9.15 | (777) all_16_14 = e12 % 58.80/9.15 | % 58.80/9.15 | COMBINE_EQS: (504), (733) imply: % 58.80/9.15 | (778) all_16_14 = all_12_11 % 58.80/9.15 | % 58.80/9.15 | COMBINE_EQS: (644), (723) imply: % 58.80/9.15 | (779) all_16_3 = all_12_12 % 58.80/9.15 | % 58.80/9.15 | COMBINE_EQS: (636), (705) imply: % 58.80/9.15 | (780) all_16_0 = all_12_0 % 58.80/9.15 | % 58.80/9.15 | COMBINE_EQS: (533), (725) imply: % 58.80/9.15 | (781) all_16_7 = e13 % 58.80/9.15 | % 58.80/9.15 | SIMP: (781) implies: % 58.80/9.15 | (782) all_16_7 = e13 % 58.80/9.15 | % 58.80/9.15 | COMBINE_EQS: (542), (711) imply: % 58.80/9.15 | (783) all_16_5 = all_12_5 % 58.80/9.15 | % 58.80/9.15 | COMBINE_EQS: (726), (727) imply: % 58.80/9.15 | (784) all_16_11 = all_12_14 % 58.80/9.15 | % 58.80/9.15 | SIMP: (784) implies: % 58.80/9.15 | (785) all_16_11 = all_12_14 % 58.80/9.15 | % 58.80/9.15 | COMBINE_EQS: (660), (721) imply: % 58.80/9.15 | (786) all_16_10 = all_12_10 % 58.80/9.16 | % 58.80/9.16 | SIMP: (786) implies: % 58.80/9.16 | (787) all_16_10 = all_12_10 % 58.80/9.16 | % 58.80/9.16 | COMBINE_EQS: (671), (735) imply: % 58.80/9.16 | (788) all_16_15 = all_12_15 % 58.80/9.16 | % 58.80/9.16 | SIMP: (788) implies: % 58.80/9.16 | (789) all_16_15 = all_12_15 % 58.80/9.16 | % 58.80/9.16 | COMBINE_EQS: (617), (754) imply: % 58.80/9.16 | (790) all_14_0 = all_8_2 % 58.80/9.16 | % 58.80/9.16 | SIMP: (790) implies: % 58.80/9.16 | (791) all_14_0 = all_8_2 % 58.80/9.16 | % 58.80/9.16 | COMBINE_EQS: (601), (758) imply: % 58.80/9.16 | (792) all_14_5 = all_6_2 % 58.80/9.16 | % 58.80/9.16 | COMBINE_EQS: (594), (756) imply: % 58.80/9.16 | (793) all_14_13 = e23 % 58.80/9.16 | % 58.80/9.16 | COMBINE_EQS: (761), (762) imply: % 58.80/9.16 | (794) all_14_10 = all_4_2 % 58.80/9.16 | % 58.80/9.16 | COMBINE_EQS: (749), (750) imply: % 58.80/9.16 | (795) all_14_11 = e22 % 58.80/9.16 | % 58.80/9.16 | COMBINE_EQS: (566), (764) imply: % 58.80/9.16 | (796) all_14_15 = all_10_2 % 58.80/9.16 | % 58.80/9.16 | SIMP: (796) implies: % 58.80/9.16 | (797) all_14_15 = all_10_2 % 58.80/9.16 | % 58.80/9.16 | COMBINE_EQS: (653), (782) imply: % 58.80/9.16 | (798) all_12_13 = e13 % 58.80/9.16 | % 58.80/9.16 | COMBINE_EQS: (777), (778) imply: % 58.80/9.16 | (799) all_12_11 = e12 % 58.80/9.16 | % 58.80/9.16 | COMBINE_EQS: (736), (789) imply: % 58.80/9.16 | (800) all_12_15 = e11 % 58.80/9.16 | % 58.80/9.16 | SIMP: (800) implies: % 58.80/9.16 | (801) all_12_15 = e11 % 58.80/9.16 | % 58.80/9.16 | COMBINE_EQS: (765), (797) imply: % 58.80/9.16 | (802) all_10_2 = e21 % 58.80/9.16 | % 58.80/9.16 | COMBINE_EQS: (671), (801) imply: % 58.80/9.16 | (803) all_20_15 = e11 % 58.80/9.16 | % 58.80/9.16 | COMBINE_EQS: (669), (777) imply: % 58.80/9.16 | (804) all_24_14 = e12 % 58.80/9.16 | % 58.80/9.16 | COMBINE_EQS: (510), (773) imply: % 58.80/9.16 | (805) all_24_13 = all_12_7 % 58.80/9.16 | % 58.80/9.16 | COMBINE_EQS: (664), (768) imply: % 58.80/9.16 | (806) all_24_12 = all_12_3 % 58.80/9.16 | % 58.80/9.16 | COMBINE_EQS: (551), (779) imply: % 58.80/9.16 | (807) all_24_9 = all_12_12 % 58.80/9.16 | % 58.80/9.16 | COMBINE_EQS: (657), (771) imply: % 58.80/9.16 | (808) all_24_7 = all_12_6 % 58.80/9.16 | % 58.80/9.16 | COMBINE_EQS: (640), (769) imply: % 58.80/9.16 | (809) all_24_1 = all_12_4 % 58.80/9.16 | % 58.80/9.16 | COMBINE_EQS: (562), (780) imply: % 58.80/9.16 | (810) all_24_0 = all_12_0 % 58.80/9.16 | % 58.80/9.16 | COMBINE_EQS: (570), (765) imply: % 58.80/9.16 | (811) all_26_15 = e21 % 58.80/9.16 | % 58.80/9.16 | COMBINE_EQS: (587), (794) imply: % 58.80/9.16 | (812) all_26_8 = all_4_2 % 58.80/9.16 | % 58.80/9.16 | COMBINE_EQS: (503), (801) imply: % 58.80/9.16 | (813) all_28_159 = e11 % 58.80/9.16 | % 58.80/9.16 | COMBINE_EQS: (508), (777) imply: % 58.80/9.16 | (814) all_28_155 = e12 % 58.80/9.16 | % 58.80/9.16 | COMBINE_EQS: (622), (802) imply: % 58.80/9.16 | (815) all_28_153 = e21 % 58.80/9.16 | % 58.80/9.16 | COMBINE_EQS: (514), (806) imply: % 58.80/9.16 | (816) all_28_147 = all_12_3 % 58.80/9.16 | % 58.80/9.16 | COMBINE_EQS: (523), (721) imply: % 58.80/9.16 | (817) all_28_140 = all_12_10 % 58.80/9.16 | % 58.80/9.16 | COMBINE_EQS: (528), (771) imply: % 58.80/9.16 | (818) all_28_137 = all_12_6 % 58.80/9.16 | % 58.80/9.16 | COMBINE_EQS: (537), (798) imply: % 58.80/9.16 | (819) all_28_131 = e13 % 58.80/9.16 | % 58.80/9.16 | COMBINE_EQS: (561), (769) imply: % 58.80/9.16 | (820) all_28_113 = all_12_4 % 58.80/9.16 | % 58.80/9.16 | REDUCE: (175), (791) imply: % 58.80/9.16 | (821) ~ (all_14_1 = all_8_2) % 58.80/9.16 | % 58.80/9.16 | SIMP: (821) implies: % 58.80/9.16 | (822) ~ (all_14_1 = all_8_2) % 58.80/9.16 | % 58.80/9.16 | REDUCE: (174), (791) imply: % 58.80/9.16 | (823) ~ (all_14_2 = all_8_2) % 58.80/9.16 | % 58.80/9.16 | SIMP: (823) implies: % 58.80/9.16 | (824) ~ (all_14_2 = all_8_2) % 58.80/9.16 | % 58.80/9.16 | REDUCE: (173), (791) imply: % 58.80/9.16 | (825) ~ (all_14_3 = all_8_2) % 58.80/9.16 | % 58.80/9.16 | SIMP: (825) implies: % 58.80/9.16 | (826) ~ (all_14_3 = all_8_2) % 58.80/9.16 | % 58.80/9.16 | REDUCE: (172), (791) imply: % 58.80/9.16 | (827) ~ (all_14_4 = all_8_2) % 58.80/9.16 | % 58.80/9.16 | SIMP: (827) implies: % 58.80/9.16 | (828) ~ (all_14_4 = all_8_2) % 58.80/9.16 | % 58.80/9.16 | REDUCE: (171), (791) imply: % 58.80/9.16 | (829) ~ (all_14_8 = all_8_2) % 58.80/9.16 | % 58.80/9.16 | SIMP: (829) implies: % 58.80/9.16 | (830) ~ (all_14_8 = all_8_2) % 58.80/9.16 | % 58.80/9.16 | REDUCE: (170), (791) imply: % 58.80/9.16 | (831) ~ (all_14_12 = all_8_2) % 58.80/9.16 | % 58.80/9.16 | SIMP: (831) implies: % 58.80/9.16 | (832) ~ (all_14_12 = all_8_2) % 58.80/9.16 | % 58.80/9.16 | REDUCE: (167), (792) imply: % 58.80/9.16 | (833) ~ (all_14_1 = all_6_2) % 58.80/9.16 | % 58.80/9.16 | REDUCE: (165), (793) imply: % 58.80/9.16 | (834) ~ (all_14_1 = e23) % 58.80/9.16 | % 58.80/9.16 | REDUCE: (162), (794) imply: % 58.80/9.16 | (835) ~ (all_14_2 = all_4_2) % 58.80/9.16 | % 58.80/9.16 | REDUCE: (159), (795) imply: % 58.80/9.16 | (836) ~ (all_14_3 = e22) % 58.80/9.16 | % 58.80/9.16 | REDUCE: (158), (765) imply: % 58.80/9.16 | (837) ~ (all_14_3 = e21) % 58.80/9.16 | % 58.80/9.16 | REDUCE: (157), (792) imply: % 58.80/9.16 | (838) ~ (all_14_4 = all_6_2) % 58.80/9.16 | % 58.80/9.16 | REDUCE: (152), (792) imply: % 58.80/9.16 | (839) ~ (all_14_6 = all_6_2) % 58.80/9.16 | % 58.80/9.16 | SIMP: (839) implies: % 58.80/9.16 | (840) ~ (all_14_6 = all_6_2) % 58.80/9.16 | % 58.80/9.16 | REDUCE: (151), (792) imply: % 58.80/9.16 | (841) ~ (all_14_7 = all_6_2) % 58.80/9.16 | % 58.80/9.16 | SIMP: (841) implies: % 58.80/9.16 | (842) ~ (all_14_7 = all_6_2) % 58.80/9.16 | % 58.80/9.16 | REDUCE: (150), (792) imply: % 58.80/9.16 | (843) ~ (all_14_9 = all_6_2) % 58.80/9.16 | % 58.80/9.16 | SIMP: (843) implies: % 58.80/9.16 | (844) ~ (all_14_9 = all_6_2) % 58.80/9.16 | % 58.80/9.16 | REDUCE: (149), (792), (793) imply: % 58.80/9.16 | (845) ~ (all_6_2 = e23) % 58.80/9.16 | % 58.80/9.16 | REDUCE: (147), (794) imply: % 58.80/9.16 | (846) ~ (all_14_6 = all_4_2) % 58.80/9.16 | % 58.80/9.16 | REDUCE: (145), (795) imply: % 58.80/9.16 | (847) ~ (all_14_7 = e22) % 58.80/9.16 | % 58.80/9.16 | REDUCE: (144), (765) imply: % 58.80/9.16 | (848) ~ (all_14_7 = e21) % 58.80/9.16 | % 58.80/9.16 | REDUCE: (142), (794) imply: % 58.80/9.16 | (849) ~ (all_14_8 = all_4_2) % 58.80/9.16 | % 58.80/9.16 | REDUCE: (141), (795) imply: % 58.80/9.16 | (850) ~ (all_14_8 = e22) % 58.80/9.16 | % 58.80/9.16 | REDUCE: (139), (794) imply: % 58.80/9.16 | (851) ~ (all_14_9 = all_4_2) % 58.80/9.16 | % 58.80/9.16 | REDUCE: (138), (795) imply: % 58.80/9.16 | (852) ~ (all_14_9 = e22) % 58.80/9.16 | % 58.80/9.16 | REDUCE: (137), (793) imply: % 58.80/9.16 | (853) ~ (all_14_9 = e23) % 58.80/9.16 | % 58.80/9.16 | REDUCE: (136), (794), (795) imply: % 58.80/9.16 | (854) ~ (all_4_2 = e22) % 58.80/9.16 | % 58.80/9.16 | REDUCE: (135), (794) imply: % 58.80/9.16 | (855) ~ (all_14_14 = all_4_2) % 58.80/9.16 | % 58.80/9.16 | SIMP: (855) implies: % 58.80/9.16 | (856) ~ (all_14_14 = all_4_2) % 58.80/9.16 | % 58.80/9.16 | REDUCE: (134), (765), (795) imply: % 58.80/9.16 | (857) ~ (e22 = e21) % 58.80/9.16 | % 58.80/9.16 | REDUCE: (133), (793) imply: % 58.80/9.16 | (858) ~ (all_14_12 = e23) % 58.80/9.16 | % 58.80/9.16 | REDUCE: (131), (765) imply: % 58.80/9.16 | (859) ~ (all_14_12 = e21) % 58.80/9.16 | % 58.80/9.16 | REDUCE: (130), (793) imply: % 58.80/9.16 | (860) ~ (all_14_14 = e23) % 58.80/9.16 | % 58.80/9.16 | SIMP: (860) implies: % 58.80/9.16 | (861) ~ (all_14_14 = e23) % 58.80/9.16 | % 58.80/9.16 | REDUCE: (129), (765), (793) imply: % 58.80/9.16 | (862) ~ (e23 = e21) % 58.80/9.16 | % 58.80/9.16 | REDUCE: (128), (765) imply: % 58.80/9.16 | (863) ~ (all_14_14 = e21) % 58.80/9.16 | % 58.80/9.16 | REDUCE: (100), (798) imply: % 58.80/9.16 | (864) ~ (all_12_1 = e13) % 58.80/9.16 | % 58.80/9.16 | REDUCE: (94), (799) imply: % 58.80/9.16 | (865) ~ (all_12_3 = e12) % 58.80/9.16 | % 58.80/9.16 | REDUCE: (93), (801) imply: % 58.80/9.16 | (866) ~ (all_12_3 = e11) % 58.80/9.16 | % 58.80/9.16 | REDUCE: (84), (798) imply: % 58.80/9.16 | (867) ~ (all_12_5 = e13) % 58.80/9.16 | % 58.80/9.16 | REDUCE: (80), (799) imply: % 58.80/9.16 | (868) ~ (all_12_7 = e12) % 58.80/9.16 | % 58.80/9.16 | REDUCE: (79), (801) imply: % 58.80/9.16 | (869) ~ (all_12_7 = e11) % 58.80/9.16 | % 58.80/9.16 | REDUCE: (76), (799) imply: % 58.80/9.16 | (870) ~ (all_12_8 = e12) % 58.80/9.16 | % 58.80/9.16 | REDUCE: (73), (799) imply: % 58.80/9.16 | (871) ~ (all_12_9 = e12) % 58.80/9.16 | % 58.80/9.16 | REDUCE: (72), (798) imply: % 58.80/9.16 | (872) ~ (all_12_9 = e13) % 58.80/9.16 | % 58.80/9.16 | REDUCE: (71), (799) imply: % 58.80/9.16 | (873) ~ (all_12_10 = e12) % 58.80/9.16 | % 58.80/9.16 | REDUCE: (69), (798) imply: % 58.80/9.16 | (874) ~ (all_12_12 = e13) % 58.80/9.16 | % 58.80/9.16 | REDUCE: (67), (801) imply: % 58.80/9.16 | (875) ~ (all_12_12 = e11) % 58.80/9.16 | % 58.80/9.16 | REDUCE: (66), (798) imply: % 58.80/9.16 | (876) ~ (all_12_14 = e13) % 58.80/9.16 | % 58.80/9.16 | SIMP: (876) implies: % 58.80/9.16 | (877) ~ (all_12_14 = e13) % 58.80/9.16 | % 58.80/9.16 | REDUCE: (65), (798), (801) imply: % 58.80/9.16 | (878) ~ (e13 = e11) % 58.80/9.16 | % 58.80/9.16 | REDUCE: (64), (801) imply: % 58.80/9.16 | (879) ~ (all_12_14 = e11) % 58.80/9.16 | % 58.80/9.16 | REDUCE: (495), (565) imply: % 58.80/9.16 | (880) h4(all_12_0) = all_28_1 % 58.80/9.16 | % 58.80/9.16 | REDUCE: (494), (820) imply: % 58.80/9.16 | (881) h4(all_12_4) = all_28_3 % 58.80/9.16 | % 58.80/9.16 | REDUCE: (493), (557) imply: % 58.80/9.16 | (882) h4(all_12_8) = all_28_5 % 58.80/9.16 | % 58.80/9.16 | REDUCE: (492), (553) imply: % 58.80/9.16 | (883) h4(all_12_12) = all_28_7 % 58.80/9.16 | % 58.80/9.16 | REDUCE: (491), (549) imply: % 58.80/9.16 | (884) h4(all_12_1) = all_28_9 % 58.80/9.16 | % 58.80/9.16 | REDUCE: (490), (545) imply: % 58.80/9.16 | (885) h4(all_12_5) = all_28_11 % 58.80/9.16 | % 58.80/9.16 | REDUCE: (489), (541) imply: % 58.80/9.16 | (886) h4(all_12_9) = all_28_13 % 58.80/9.16 | % 58.80/9.16 | REDUCE: (488), (819) imply: % 58.80/9.16 | (887) h4(e13) = all_28_15 % 58.80/9.16 | % 58.80/9.16 | REDUCE: (487), (532) imply: % 58.80/9.16 | (888) h4(all_12_2) = all_28_17 % 58.80/9.16 | % 58.80/9.16 | REDUCE: (486), (818) imply: % 58.80/9.16 | (889) h4(all_12_6) = all_28_19 % 58.80/9.16 | % 58.80/9.16 | REDUCE: (485), (817) imply: % 58.80/9.16 | (890) h4(all_12_10) = all_28_21 % 58.80/9.16 | % 58.80/9.16 | REDUCE: (484), (520) imply: % 58.80/9.16 | (891) h4(all_12_14) = all_28_23 % 58.80/9.16 | % 58.80/9.16 | REDUCE: (483), (816) imply: % 58.80/9.16 | (892) h4(all_12_3) = all_28_26 % 58.80/9.16 | % 58.80/9.16 | REDUCE: (482), (512) imply: % 58.80/9.16 | (893) h4(all_12_7) = all_28_29 % 58.80/9.16 | % 58.80/9.16 | REDUCE: (481), (814) imply: % 58.80/9.16 | (894) h4(e12) = all_28_32 % 58.80/9.16 | % 58.80/9.16 | REDUCE: (480), (813) imply: % 58.80/9.16 | (895) h4(e11) = all_28_35 % 58.80/9.16 | % 58.80/9.16 | REDUCE: (472), (565) imply: % 58.80/9.16 | (896) h2(all_12_0) = all_28_73 % 58.80/9.16 | % 58.80/9.16 | REDUCE: (471), (820) imply: % 58.80/9.16 | (897) h2(all_12_4) = all_28_75 % 58.80/9.16 | % 58.80/9.16 | REDUCE: (470), (557) imply: % 58.80/9.16 | (898) h2(all_12_8) = all_28_77 % 58.80/9.16 | % 58.80/9.16 | REDUCE: (469), (553) imply: % 58.80/9.16 | (899) h2(all_12_12) = all_28_79 % 58.80/9.16 | % 58.80/9.16 | REDUCE: (468), (549) imply: % 58.80/9.16 | (900) h2(all_12_1) = all_28_81 % 58.80/9.16 | % 58.80/9.16 | REDUCE: (467), (545) imply: % 58.80/9.16 | (901) h2(all_12_5) = all_28_83 % 58.80/9.16 | % 58.80/9.16 | REDUCE: (466), (541) imply: % 58.80/9.16 | (902) h2(all_12_9) = all_28_85 % 58.80/9.16 | % 58.80/9.16 | REDUCE: (465), (819) imply: % 58.80/9.16 | (903) h2(e13) = all_28_87 % 58.80/9.16 | % 58.80/9.16 | REDUCE: (464), (532) imply: % 58.80/9.16 | (904) h2(all_12_2) = all_28_89 % 58.80/9.16 | % 58.80/9.16 | REDUCE: (463), (818) imply: % 58.80/9.16 | (905) h2(all_12_6) = all_28_91 % 58.80/9.16 | % 58.80/9.16 | REDUCE: (462), (817) imply: % 58.80/9.16 | (906) h2(all_12_10) = all_28_93 % 58.80/9.16 | % 58.80/9.16 | REDUCE: (461), (520) imply: % 58.80/9.16 | (907) h2(all_12_14) = all_28_95 % 58.80/9.16 | % 58.80/9.16 | REDUCE: (460), (816) imply: % 58.80/9.16 | (908) h2(all_12_3) = all_28_98 % 58.80/9.16 | % 58.80/9.16 | REDUCE: (459), (512) imply: % 58.80/9.16 | (909) h2(all_12_7) = all_28_101 % 58.80/9.16 | % 58.80/9.16 | REDUCE: (458), (814) imply: % 58.80/9.16 | (910) h2(e12) = all_28_104 % 58.80/9.16 | % 58.80/9.16 | REDUCE: (457), (813) imply: % 58.80/9.16 | (911) h2(e11) = all_28_107 % 58.80/9.16 | % 58.80/9.16 | REDUCE: (452), (565) imply: % 58.80/9.16 | (912) h1(all_12_0) = all_28_109 % 58.80/9.16 | % 58.80/9.16 | REDUCE: (451), (820) imply: % 58.80/9.16 | (913) h1(all_12_4) = all_28_112 % 58.80/9.16 | % 58.80/9.16 | REDUCE: (450), (557) imply: % 58.80/9.16 | (914) h1(all_12_8) = all_28_115 % 58.80/9.16 | % 58.80/9.16 | REDUCE: (449), (553) imply: % 58.80/9.16 | (915) h1(all_12_12) = all_28_118 % 58.80/9.16 | % 58.80/9.16 | REDUCE: (448), (549) imply: % 58.80/9.16 | (916) h1(all_12_1) = all_28_121 % 58.80/9.16 | % 58.80/9.16 | REDUCE: (447), (545) imply: % 58.80/9.16 | (917) h1(all_12_5) = all_28_124 % 58.80/9.16 | % 58.80/9.16 | REDUCE: (446), (541) imply: % 58.80/9.16 | (918) h1(all_12_9) = all_28_127 % 58.80/9.16 | % 58.80/9.16 | REDUCE: (445), (819) imply: % 58.80/9.16 | (919) h1(e13) = all_28_130 % 58.80/9.16 | % 58.80/9.16 | REDUCE: (444), (532) imply: % 58.80/9.16 | (920) h1(all_12_2) = all_28_133 % 58.80/9.16 | % 58.80/9.16 | REDUCE: (443), (818) imply: % 58.80/9.16 | (921) h1(all_12_6) = all_28_136 % 58.80/9.16 | % 58.80/9.16 | REDUCE: (442), (817) imply: % 58.80/9.16 | (922) h1(all_12_10) = all_28_139 % 58.80/9.16 | % 58.80/9.16 | REDUCE: (441), (520) imply: % 58.80/9.16 | (923) h1(all_12_14) = all_28_142 % 58.80/9.16 | % 58.80/9.16 | REDUCE: (440), (816) imply: % 58.80/9.16 | (924) h1(all_12_3) = all_28_146 % 58.80/9.16 | % 58.80/9.16 | REDUCE: (439), (512) imply: % 58.80/9.16 | (925) h1(all_12_7) = all_28_150 % 58.80/9.16 | % 58.80/9.16 | REDUCE: (438), (814) imply: % 58.80/9.17 | (926) h1(e12) = all_28_154 % 58.80/9.17 | % 58.80/9.17 | REDUCE: (437), (813) imply: % 58.80/9.17 | (927) h1(e11) = all_28_158 % 58.80/9.17 | % 58.80/9.17 | REDUCE: (60), (802) imply: % 58.80/9.17 | (928) h1(e11) = e21 % 58.80/9.17 | % 58.80/9.17 | REDUCE: (432), (635) imply: % 58.80/9.17 | (929) op2(all_8_0, all_8_0) = all_28_0 % 58.80/9.17 | % 58.80/9.17 | REDUCE: (431), (634), (635) imply: % 58.80/9.17 | (930) op2(all_8_0, all_8_1) = all_28_2 % 58.80/9.17 | % 58.80/9.17 | REDUCE: (430), (633), (635) imply: % 58.80/9.17 | (931) op2(all_8_0, all_8_2) = all_28_4 % 58.80/9.17 | % 58.80/9.17 | REDUCE: (429), (632), (635) imply: % 58.80/9.17 | (932) op2(all_8_0, e23) = all_28_6 % 58.80/9.17 | % 58.80/9.17 | REDUCE: (428), (634), (635) imply: % 58.80/9.17 | (933) op2(all_8_1, all_8_0) = all_28_8 % 58.80/9.17 | % 58.80/9.17 | REDUCE: (427), (634) imply: % 58.80/9.17 | (934) op2(all_8_1, all_8_1) = all_28_10 % 58.80/9.17 | % 58.80/9.17 | REDUCE: (426), (633), (634) imply: % 58.80/9.17 | (935) op2(all_8_1, all_8_2) = all_28_12 % 58.80/9.17 | % 58.80/9.17 | REDUCE: (425), (632), (634) imply: % 58.80/9.17 | (936) op2(all_8_1, e23) = all_28_14 % 58.80/9.17 | % 58.80/9.17 | REDUCE: (424), (633), (635) imply: % 58.80/9.17 | (937) op2(all_8_2, all_8_0) = all_28_16 % 58.80/9.17 | % 58.80/9.17 | REDUCE: (423), (633), (634) imply: % 58.80/9.17 | (938) op2(all_8_2, all_8_1) = all_28_18 % 58.80/9.17 | % 58.80/9.17 | REDUCE: (422), (633) imply: % 58.80/9.17 | (939) op2(all_8_2, all_8_2) = all_28_20 % 58.80/9.17 | % 58.80/9.17 | REDUCE: (421), (632), (633) imply: % 58.80/9.17 | (940) op2(all_8_2, e23) = all_28_22 % 58.80/9.17 | % 58.80/9.17 | REDUCE: (420), (632), (635) imply: % 58.80/9.17 | (941) op2(e23, all_8_0) = all_28_24 % 58.80/9.17 | % 58.80/9.17 | REDUCE: (419), (632), (634) imply: % 58.80/9.17 | (942) op2(e23, all_8_1) = all_28_27 % 58.80/9.17 | % 58.80/9.17 | REDUCE: (418), (632), (633) imply: % 58.80/9.17 | (943) op2(e23, all_8_2) = all_28_30 % 58.80/9.17 | % 58.80/9.17 | REDUCE: (417), (632) imply: % 58.80/9.17 | (944) op2(e23, e23) = all_28_33 % 58.80/9.17 | % 58.80/9.17 | REDUCE: (416), (631) imply: % 58.80/9.17 | (945) op2(all_6_1, all_6_1) = all_28_46 % 58.80/9.17 | % 58.80/9.17 | REDUCE: (415), (629), (631) imply: % 58.80/9.17 | (946) op2(all_6_1, e22) = all_28_50 % 58.80/9.17 | % 58.80/9.17 | REDUCE: (414), (630) imply: % 58.80/9.17 | (947) op2(all_6_2, all_6_2) = all_28_56 % 58.80/9.17 | % 58.80/9.17 | REDUCE: (413), (629), (630) imply: % 58.80/9.17 | (948) op2(all_6_2, e22) = all_28_58 % 58.80/9.17 | % 58.80/9.17 | REDUCE: (412), (629), (631) imply: % 58.80/9.17 | (949) op2(e22, all_6_1) = all_28_63 % 58.80/9.17 | % 58.80/9.17 | REDUCE: (411), (629), (630) imply: % 58.80/9.17 | (950) op2(e22, all_6_2) = all_28_66 % 58.80/9.17 | % 58.80/9.17 | REDUCE: (410), (629) imply: % 58.80/9.17 | (951) op2(e22, e22) = all_28_69 % 58.80/9.17 | % 58.80/9.17 | REDUCE: (409), (628) imply: % 58.80/9.17 | (952) op2(all_4_0, all_4_0) = all_28_72 % 58.80/9.17 | % 58.80/9.17 | REDUCE: (408), (627), (628) imply: % 58.80/9.17 | (953) op2(all_4_0, all_4_1) = all_28_74 % 58.80/9.17 | % 58.80/9.17 | REDUCE: (407), (626), (628) imply: % 58.80/9.17 | (954) op2(all_4_0, all_4_2) = all_28_76 % 58.80/9.17 | % 58.80/9.17 | REDUCE: (406), (625), (628) imply: % 58.80/9.17 | (955) op2(all_4_0, e21) = all_28_78 % 58.80/9.17 | % 58.80/9.17 | REDUCE: (405), (627), (628) imply: % 58.80/9.17 | (956) op2(all_4_1, all_4_0) = all_28_80 % 58.80/9.17 | % 58.80/9.17 | REDUCE: (404), (627) imply: % 58.80/9.17 | (957) op2(all_4_1, all_4_1) = all_28_82 % 58.80/9.17 | % 58.80/9.17 | REDUCE: (403), (626), (627) imply: % 58.80/9.17 | (958) op2(all_4_1, all_4_2) = all_28_84 % 58.80/9.17 | % 58.80/9.17 | REDUCE: (402), (625), (627) imply: % 58.80/9.17 | (959) op2(all_4_1, e21) = all_28_86 % 58.80/9.17 | % 58.80/9.17 | REDUCE: (401), (626), (628) imply: % 58.80/9.17 | (960) op2(all_4_2, all_4_0) = all_28_88 % 58.80/9.17 | % 58.80/9.17 | REDUCE: (400), (626), (627) imply: % 58.80/9.17 | (961) op2(all_4_2, all_4_1) = all_28_90 % 58.80/9.17 | % 58.80/9.17 | REDUCE: (399), (626) imply: % 58.80/9.17 | (962) op2(all_4_2, all_4_2) = all_28_92 % 58.80/9.17 | % 58.80/9.17 | REDUCE: (398), (625), (626) imply: % 58.80/9.17 | (963) op2(all_4_2, e21) = all_28_94 % 58.80/9.17 | % 58.80/9.17 | REDUCE: (397), (625), (628) imply: % 58.80/9.17 | (964) op2(e21, all_4_0) = all_28_96 % 58.80/9.17 | % 58.80/9.17 | REDUCE: (396), (625), (627) imply: % 58.80/9.17 | (965) op2(e21, all_4_1) = all_28_99 % 58.80/9.17 | % 58.80/9.17 | REDUCE: (395), (625), (626) imply: % 58.80/9.17 | (966) op2(e21, all_4_2) = all_28_102 % 58.80/9.17 | % 58.80/9.17 | REDUCE: (394), (625) imply: % 58.80/9.17 | (967) op2(e21, e21) = all_28_105 % 58.80/9.17 | % 58.80/9.17 | REDUCE: (393), (624) imply: % 58.80/9.17 | (968) op2(all_10_0, all_10_0) = all_28_108 % 58.80/9.17 | % 58.80/9.17 | REDUCE: (392), (623), (624) imply: % 58.80/9.17 | (969) op2(all_10_0, all_10_1) = all_28_111 % 58.80/9.17 | % 58.80/9.17 | REDUCE: (391), (624), (815) imply: % 58.80/9.17 | (970) op2(all_10_0, e21) = all_28_114 % 58.80/9.17 | % 58.80/9.17 | REDUCE: (390), (621), (624) imply: % 58.80/9.17 | (971) op2(all_10_0, e20) = all_28_117 % 58.80/9.17 | % 58.80/9.17 | REDUCE: (389), (623), (624) imply: % 58.80/9.17 | (972) op2(all_10_1, all_10_0) = all_28_120 % 58.80/9.17 | % 58.80/9.17 | REDUCE: (388), (623) imply: % 58.80/9.17 | (973) op2(all_10_1, all_10_1) = all_28_123 % 58.80/9.17 | % 58.80/9.17 | REDUCE: (387), (623), (815) imply: % 58.80/9.17 | (974) op2(all_10_1, e21) = all_28_126 % 58.80/9.17 | % 58.80/9.17 | REDUCE: (386), (621), (623) imply: % 58.80/9.17 | (975) op2(all_10_1, e20) = all_28_129 % 58.80/9.17 | % 58.80/9.17 | REDUCE: (385), (624), (815) imply: % 58.80/9.17 | (976) op2(e21, all_10_0) = all_28_132 % 58.80/9.17 | % 58.80/9.17 | REDUCE: (384), (623), (815) imply: % 58.80/9.17 | (977) op2(e21, all_10_1) = all_28_135 % 58.80/9.17 | % 58.80/9.17 | REDUCE: (383), (815) imply: % 58.80/9.17 | (978) op2(e21, e21) = all_28_138 % 58.80/9.17 | % 58.80/9.17 | REDUCE: (382), (621), (815) imply: % 58.80/9.17 | (979) op2(e21, e20) = all_28_141 % 58.80/9.17 | % 58.80/9.17 | REDUCE: (381), (621), (624) imply: % 58.80/9.17 | (980) op2(e20, all_10_0) = all_28_144 % 58.80/9.17 | % 58.80/9.17 | REDUCE: (380), (621), (623) imply: % 58.80/9.17 | (981) op2(e20, all_10_1) = all_28_148 % 58.80/9.17 | % 58.80/9.17 | REDUCE: (379), (621), (815) imply: % 58.80/9.17 | (982) op2(e20, e21) = all_28_152 % 58.80/9.17 | % 58.80/9.17 | REDUCE: (378), (621) imply: % 58.80/9.17 | (983) op2(e20, e20) = all_28_156 % 58.80/9.17 | % 58.80/9.17 | REDUCE: (57), (802) imply: % 58.80/9.17 | (984) op2(e20, e21) = all_10_1 % 58.80/9.17 | % 58.80/9.17 | GROUND_INST: instantiating (31) with e21, all_28_156, e20, e20, simplifying % 58.80/9.17 | with (18), (983) gives: % 58.80/9.17 | (985) all_28_156 = e21 % 58.80/9.17 | % 58.80/9.17 | GROUND_INST: instantiating (31) with e22, all_28_152, e21, e20, simplifying % 58.80/9.17 | with (19), (982) gives: % 58.80/9.17 | (986) all_28_152 = e22 % 58.80/9.17 | % 58.80/9.17 | GROUND_INST: instantiating (31) with all_10_1, all_28_152, e21, e20, % 58.80/9.17 | simplifying with (982), (984) gives: % 58.80/9.17 | (987) all_28_152 = all_10_1 % 58.80/9.17 | % 58.80/9.17 | GROUND_INST: instantiating (31) with all_14_14, all_28_141, e20, e21, % 58.80/9.17 | simplifying with (180), (979) gives: % 58.80/9.17 | (988) all_28_141 = all_14_14 % 58.80/9.17 | % 58.80/9.17 | GROUND_INST: instantiating (31) with all_4_2, all_28_105, e21, e21, % 58.80/9.17 | simplifying with (33), (967) gives: % 58.80/9.17 | (989) all_28_105 = all_4_2 % 58.80/9.17 | % 58.80/9.17 | GROUND_INST: instantiating (31) with all_28_138, all_28_105, e21, e21, % 58.80/9.17 | simplifying with (967), (978) gives: % 58.80/9.17 | (990) all_28_105 = all_28_138 % 58.80/9.17 | % 58.80/9.17 | GROUND_INST: instantiating (31) with all_4_1, all_28_102, all_4_2, e21, % 58.80/9.17 | simplifying with (34), (966) gives: % 58.80/9.17 | (991) all_28_102 = all_4_1 % 58.80/9.17 | % 58.80/9.17 | GROUND_INST: instantiating (31) with all_6_2, all_28_69, e22, e22, simplifying % 58.80/9.17 | with (41), (951) gives: % 58.80/9.17 | (992) all_28_69 = all_6_2 % 58.80/9.17 | % 58.80/9.17 | GROUND_INST: instantiating (31) with all_6_1, all_28_66, all_6_2, e22, % 58.80/9.17 | simplifying with (42), (950) gives: % 58.80/9.17 | (993) all_28_66 = all_6_1 % 58.80/9.17 | % 58.80/9.17 | GROUND_INST: instantiating (31) with all_8_2, all_28_33, e23, e23, simplifying % 58.80/9.17 | with (48), (944) gives: % 58.80/9.17 | (994) all_28_33 = all_8_2 % 58.80/9.17 | % 58.80/9.17 | GROUND_INST: instantiating (31) with all_8_1, all_28_30, all_8_2, e23, % 58.80/9.17 | simplifying with (49), (943) gives: % 58.80/9.17 | (995) all_28_30 = all_8_1 % 58.80/9.17 | % 58.80/9.17 | GROUND_INST: instantiating (31) with all_4_0, all_28_86, e21, all_4_1, % 58.80/9.17 | simplifying with (35), (959) gives: % 58.80/9.17 | (996) all_28_86 = all_4_0 % 58.80/9.17 | % 58.80/9.17 | GROUND_INST: instantiating (31) with all_6_0, all_28_50, e22, all_6_1, % 58.80/9.17 | simplifying with (43), (946) gives: % 58.80/9.17 | (997) all_28_50 = all_6_0 % 58.80/9.17 | % 58.80/9.17 | GROUND_INST: instantiating (31) with all_8_0, all_28_14, e23, all_8_1, % 58.80/9.17 | simplifying with (50), (936) gives: % 58.80/9.17 | (998) all_28_14 = all_8_0 % 58.80/9.17 | % 58.80/9.17 | GROUND_INST: instantiating (31) with all_10_0, all_28_129, e20, all_10_1, % 58.80/9.17 | simplifying with (58), (975) gives: % 58.80/9.17 | (999) all_28_129 = all_10_0 % 58.80/9.17 | % 58.80/9.17 | GROUND_INST: instantiating (26) with e21, all_28_158, e11, simplifying with % 58.80/9.17 | (927), (928) gives: % 58.80/9.17 | (1000) all_28_158 = e21 % 58.80/9.17 | % 58.80/9.17 | GROUND_INST: instantiating (26) with all_10_1, all_28_154, e12, simplifying % 58.80/9.17 | with (61), (926) gives: % 58.80/9.17 | (1001) all_28_154 = all_10_1 % 58.80/9.17 | % 58.80/9.17 | GROUND_INST: instantiating (26) with all_10_0, all_28_130, e13, simplifying % 58.80/9.17 | with (62), (919) gives: % 58.80/9.17 | (1002) all_28_130 = all_10_0 % 58.80/9.17 | % 58.80/9.17 | GROUND_INST: instantiating (27) with all_4_2, all_28_107, e11, simplifying % 58.80/9.17 | with (37), (911) gives: % 58.80/9.17 | (1003) all_28_107 = all_4_2 % 58.80/9.17 | % 58.80/9.17 | GROUND_INST: instantiating (27) with all_4_1, all_28_104, e12, simplifying % 58.80/9.17 | with (38), (910) gives: % 58.80/9.17 | (1004) all_28_104 = all_4_1 % 58.80/9.17 | % 58.80/9.17 | GROUND_INST: instantiating (27) with all_4_0, all_28_87, e13, simplifying with % 58.80/9.17 | (39), (903) gives: % 58.80/9.17 | (1005) all_28_87 = all_4_0 % 58.80/9.17 | % 58.80/9.17 | GROUND_INST: instantiating (29) with all_8_2, all_28_35, e11, simplifying with % 58.80/9.17 | (52), (895) gives: % 58.80/9.17 | (1006) all_28_35 = all_8_2 % 58.80/9.17 | % 58.80/9.17 | GROUND_INST: instantiating (29) with all_8_1, all_28_32, e12, simplifying with % 58.80/9.17 | (53), (894) gives: % 58.80/9.17 | (1007) all_28_32 = all_8_1 % 58.80/9.17 | % 58.80/9.17 | GROUND_INST: instantiating (29) with all_8_0, all_28_15, e13, simplifying with % 58.80/9.17 | (54), (887) gives: % 58.80/9.17 | (1008) all_28_15 = all_8_0 % 58.80/9.17 | % 58.80/9.17 | COMBINE_EQS: (989), (990) imply: % 58.80/9.17 | (1009) all_28_138 = all_4_2 % 58.80/9.17 | % 58.80/9.17 | COMBINE_EQS: (986), (987) imply: % 58.80/9.17 | (1010) all_10_1 = e22 % 58.80/9.17 | % 58.80/9.17 | COMBINE_EQS: (1001), (1010) imply: % 58.80/9.17 | (1011) all_28_154 = e22 % 58.80/9.17 | % 58.80/9.17 | COMBINE_EQS: (623), (1010) imply: % 58.80/9.17 | (1012) all_28_149 = e22 % 58.80/9.17 | % 58.80/9.17 | REDUCE: (61), (1010) imply: % 58.80/9.17 | (1013) h1(e12) = e22 % 58.80/9.17 | % 58.80/9.17 | REDUCE: (969), (1010) imply: % 58.80/9.17 | (1014) op2(all_10_0, e22) = all_28_111 % 58.80/9.17 | % 58.80/9.17 | REDUCE: (972), (1010) imply: % 58.80/9.17 | (1015) op2(e22, all_10_0) = all_28_120 % 58.80/9.17 | % 58.80/9.17 | REDUCE: (973), (1010) imply: % 58.80/9.17 | (1016) op2(e22, e22) = all_28_123 % 58.80/9.17 | % 58.80/9.17 | REDUCE: (974), (1010) imply: % 58.80/9.17 | (1017) op2(e22, e21) = all_28_126 % 58.80/9.17 | % 58.80/9.17 | REDUCE: (58), (1010) imply: % 58.80/9.17 | (1018) op2(e22, e20) = all_10_0 % 58.80/9.17 | % 58.80/9.17 | REDUCE: (977), (1010) imply: % 58.80/9.17 | (1019) op2(e21, e22) = all_28_135 % 58.80/9.17 | % 58.80/9.17 | REDUCE: (981), (1010) imply: % 58.80/9.17 | (1020) op2(e20, e22) = all_28_148 % 58.80/9.17 | % 58.80/9.17 | GROUND_INST: instantiating (31) with all_14_7, all_28_148, e22, e20, % 58.80/9.17 | simplifying with (178), (1020) gives: % 58.80/9.17 | (1021) all_28_148 = all_14_7 % 58.80/9.17 | % 58.80/9.17 | GROUND_INST: instantiating (31) with all_14_6, all_28_135, e22, e21, % 58.80/9.17 | simplifying with (182), (1019) gives: % 58.80/9.17 | (1022) all_28_135 = all_14_6 % 58.80/9.17 | % 58.80/9.17 | GROUND_INST: instantiating (31) with e23, all_10_0, e20, e22, simplifying with % 58.80/9.17 | (20), (1018) gives: % 58.80/9.17 | (1023) all_10_0 = e23 % 58.80/9.17 | % 58.80/9.17 | GROUND_INST: instantiating (31) with all_14_9, all_28_126, e21, e22, % 58.80/9.17 | simplifying with (185), (1017) gives: % 58.80/9.17 | (1024) all_28_126 = all_14_9 % 58.80/9.17 | % 58.80/9.17 | GROUND_INST: instantiating (31) with all_6_2, all_28_123, e22, e22, % 58.80/9.17 | simplifying with (41), (1016) gives: % 58.80/9.17 | (1025) all_28_123 = all_6_2 % 58.80/9.17 | % 58.80/9.17 | COMBINE_EQS: (624), (1023) imply: % 58.80/9.17 | (1026) all_28_145 = e23 % 58.80/9.17 | % 58.80/9.17 | COMBINE_EQS: (1002), (1023) imply: % 58.80/9.17 | (1027) all_28_130 = e23 % 58.80/9.17 | % 58.80/9.17 | COMBINE_EQS: (999), (1023) imply: % 58.80/9.17 | (1028) all_28_129 = e23 % 58.80/9.17 | % 58.80/9.17 | REDUCE: (62), (1023) imply: % 58.80/9.17 | (1029) h1(e13) = e23 % 58.80/9.17 | % 58.80/9.17 | REDUCE: (968), (1023) imply: % 58.80/9.17 | (1030) op2(e23, e23) = all_28_108 % 58.80/9.17 | % 58.80/9.17 | REDUCE: (1014), (1023) imply: % 58.80/9.17 | (1031) op2(e23, e22) = all_28_111 % 58.80/9.17 | % 58.80/9.17 | REDUCE: (970), (1023) imply: % 58.80/9.18 | (1032) op2(e23, e21) = all_28_114 % 58.80/9.18 | % 58.80/9.18 | REDUCE: (971), (1023) imply: % 58.80/9.18 | (1033) op2(e23, e20) = all_28_117 % 58.80/9.18 | % 58.80/9.18 | REDUCE: (1015), (1023) imply: % 58.80/9.18 | (1034) op2(e22, e23) = all_28_120 % 58.80/9.18 | % 58.80/9.18 | REDUCE: (976), (1023) imply: % 58.80/9.18 | (1035) op2(e21, e23) = all_28_132 % 58.80/9.18 | % 58.80/9.18 | REDUCE: (980), (1023) imply: % 58.80/9.18 | (1036) op2(e20, e23) = all_28_144 % 58.80/9.18 | % 58.80/9.18 | GROUND_INST: instantiating (31) with all_14_3, all_28_144, e23, e20, % 58.80/9.18 | simplifying with (179), (1036) gives: % 58.80/9.18 | (1037) all_28_144 = all_14_3 % 58.80/9.18 | % 58.80/9.18 | GROUND_INST: instantiating (31) with all_14_2, all_28_132, e23, e21, % 58.80/9.18 | simplifying with (183), (1035) gives: % 58.80/9.18 | (1038) all_28_132 = all_14_2 % 58.80/9.18 | % 58.80/9.18 | GROUND_INST: instantiating (31) with all_14_1, all_28_120, e23, e22, % 58.80/9.18 | simplifying with (187), (1034) gives: % 58.80/9.18 | (1039) all_28_120 = all_14_1 % 58.80/9.18 | % 58.80/9.18 | GROUND_INST: instantiating (31) with all_14_12, all_28_117, e20, e23, % 58.80/9.18 | simplifying with (188), (1033) gives: % 58.80/9.18 | (1040) all_28_117 = all_14_12 % 58.80/9.18 | % 58.80/9.18 | GROUND_INST: instantiating (31) with all_14_8, all_28_114, e21, e23, % 58.80/9.18 | simplifying with (189), (1032) gives: % 58.80/9.18 | (1041) all_28_114 = all_14_8 % 58.80/9.18 | % 58.80/9.18 | GROUND_INST: instantiating (31) with all_14_4, all_28_111, e22, e23, % 58.80/9.18 | simplifying with (190), (1031) gives: % 58.80/9.18 | (1042) all_28_111 = all_14_4 % 58.80/9.18 | % 58.80/9.18 | GROUND_INST: instantiating (31) with all_8_2, all_28_108, e23, e23, % 58.80/9.18 | simplifying with (48), (1030) gives: % 58.80/9.18 | (1043) all_28_108 = all_8_2 % 58.80/9.18 | % 58.80/9.18 | BETA: splitting (211) gives: % 58.80/9.18 | % 58.80/9.18 | Case 1: % 58.80/9.18 | | % 58.80/9.18 | | (1044) all_16_11 = e10 % 58.80/9.18 | | % 58.80/9.18 | | COMBINE_EQS: (785), (1044) imply: % 58.80/9.18 | | (1045) all_12_14 = e10 % 58.80/9.18 | | % 58.80/9.18 | | COMBINE_EQS: (727), (1045) imply: % 58.80/9.18 | | (1046) all_20_13 = e10 % 58.80/9.18 | | % 58.80/9.18 | | REDUCE: (96), (1045) imply: % 58.80/9.18 | | (1047) ~ (all_12_2 = e10) % 58.80/9.18 | | % 58.80/9.18 | | REDUCE: (81), (1045) imply: % 58.80/9.18 | | (1048) ~ (all_12_6 = e10) % 58.80/9.18 | | % 58.80/9.18 | | REDUCE: (70), (1045) imply: % 58.80/9.18 | | (1049) ~ (all_12_10 = e10) % 58.80/9.18 | | % 58.80/9.18 | | REDUCE: (68), (1045) imply: % 58.80/9.18 | | (1050) ~ (all_12_12 = e10) % 58.80/9.18 | | % 58.80/9.18 | | REDUCE: (877), (1045) imply: % 58.80/9.18 | | (1051) ~ (e13 = e10) % 58.80/9.18 | | % 58.80/9.18 | | REDUCE: (879), (1045) imply: % 58.80/9.18 | | (1052) ~ (e11 = e10) % 58.80/9.18 | | % 58.80/9.18 | | REDUCE: (891), (1045) imply: % 58.80/9.18 | | (1053) h4(e10) = all_28_23 % 58.80/9.18 | | % 58.80/9.18 | | REDUCE: (907), (1045) imply: % 58.80/9.18 | | (1054) h2(e10) = all_28_95 % 58.80/9.18 | | % 58.80/9.18 | | REDUCE: (923), (1045) imply: % 58.80/9.18 | | (1055) h1(e10) = all_28_142 % 58.80/9.18 | | % 58.80/9.18 | | BETA: splitting (218) gives: % 58.80/9.18 | | % 58.80/9.18 | | Case 1: % 58.80/9.18 | | | % 58.80/9.18 | | | (1056) all_16_3 = e10 % 58.80/9.18 | | | % 58.80/9.18 | | | COMBINE_EQS: (779), (1056) imply: % 58.80/9.18 | | | (1057) all_12_12 = e10 % 58.80/9.18 | | | % 58.80/9.18 | | | SIMP: (1057) implies: % 58.80/9.18 | | | (1058) all_12_12 = e10 % 58.80/9.18 | | | % 58.80/9.18 | | | REDUCE: (1050), (1058) imply: % 58.80/9.18 | | | (1059) $false % 58.80/9.18 | | | % 58.80/9.18 | | | CLOSE: (1059) is inconsistent. % 58.80/9.18 | | | % 58.80/9.18 | | Case 2: % 58.80/9.18 | | | % 58.80/9.18 | | | (1060) ~ (all_16_3 = e10) % 58.80/9.18 | | | (1061) all_16_3 = e13 | all_16_3 = e12 | all_16_3 = e11 % 58.80/9.18 | | | % 58.80/9.18 | | | BETA: splitting (307) gives: % 58.80/9.18 | | | % 58.80/9.18 | | | Case 1: % 58.80/9.18 | | | | % 58.80/9.18 | | | | (1062) all_24_9 = e12 % 58.80/9.18 | | | | % 58.80/9.18 | | | | COMBINE_EQS: (807), (1062) imply: % 58.80/9.18 | | | | (1063) all_12_12 = e12 % 58.80/9.18 | | | | % 58.80/9.18 | | | | SIMP: (1063) implies: % 58.80/9.18 | | | | (1064) all_12_12 = e12 % 58.80/9.18 | | | | % 58.80/9.18 | | | | COMBINE_EQS: (644), (1064) imply: % 58.80/9.18 | | | | (1065) all_20_9 = e12 % 58.80/9.18 | | | | % 59.08/9.18 | | | | REDUCE: (105), (1064) imply: % 59.08/9.18 | | | | (1066) ~ (all_12_0 = e12) % 59.08/9.18 | | | | % 59.08/9.18 | | | | REDUCE: (88), (1064) imply: % 59.08/9.18 | | | | (1067) ~ (all_12_4 = e12) % 59.08/9.18 | | | | % 59.08/9.18 | | | | REDUCE: (874), (1064) imply: % 59.08/9.18 | | | | (1068) ~ (e13 = e12) % 59.08/9.18 | | | | % 59.08/9.18 | | | | SIMP: (1068) implies: % 59.08/9.18 | | | | (1069) ~ (e13 = e12) % 59.08/9.18 | | | | % 59.08/9.18 | | | | REDUCE: (875), (1064) imply: % 59.08/9.18 | | | | (1070) ~ (e12 = e11) % 59.08/9.18 | | | | % 59.08/9.18 | | | | REDUCE: (1050), (1064) imply: % 59.08/9.18 | | | | (1071) ~ (e12 = e10) % 59.08/9.18 | | | | % 59.08/9.18 | | | | REDUCE: (883), (1064) imply: % 59.08/9.18 | | | | (1072) h4(e12) = all_28_7 % 59.08/9.18 | | | | % 59.08/9.18 | | | | REDUCE: (899), (1064) imply: % 59.08/9.18 | | | | (1073) h2(e12) = all_28_79 % 59.08/9.18 | | | | % 59.08/9.18 | | | | REDUCE: (915), (1064) imply: % 59.08/9.18 | | | | (1074) h1(e12) = all_28_118 % 59.08/9.18 | | | | % 59.08/9.18 | | | | GROUND_INST: instantiating (26) with e20, all_28_142, e10, simplifying % 59.08/9.18 | | | | with (59), (1055) gives: % 59.08/9.18 | | | | (1075) all_28_142 = e20 % 59.08/9.18 | | | | % 59.08/9.18 | | | | GROUND_INST: instantiating (26) with e22, all_28_118, e12, simplifying % 59.08/9.18 | | | | with (1013), (1074) gives: % 59.08/9.18 | | | | (1076) all_28_118 = e22 % 59.08/9.18 | | | | % 59.08/9.18 | | | | GROUND_INST: instantiating (27) with e21, all_28_95, e10, simplifying % 59.08/9.18 | | | | with (36), (1054) gives: % 59.08/9.18 | | | | (1077) all_28_95 = e21 % 59.08/9.18 | | | | % 59.08/9.18 | | | | GROUND_INST: instantiating (27) with all_4_1, all_28_79, e12, % 59.08/9.18 | | | | simplifying with (38), (1073) gives: % 59.08/9.18 | | | | (1078) all_28_79 = all_4_1 % 59.08/9.18 | | | | % 59.08/9.18 | | | | GROUND_INST: instantiating (29) with e23, all_28_23, e10, simplifying % 59.08/9.18 | | | | with (51), (1053) gives: % 59.08/9.18 | | | | (1079) all_28_23 = e23 % 59.08/9.18 | | | | % 59.08/9.18 | | | | GROUND_INST: instantiating (29) with all_8_1, all_28_7, e12, simplifying % 59.08/9.18 | | | | with (53), (1072) gives: % 59.08/9.18 | | | | (1080) all_28_7 = all_8_1 % 59.08/9.18 | | | | % 59.08/9.18 | | | | BETA: splitting (212) gives: % 59.08/9.18 | | | | % 59.08/9.18 | | | | Case 1: % 59.08/9.18 | | | | | % 59.08/9.18 | | | | | (1081) all_16_10 = e10 % 59.08/9.18 | | | | | % 59.08/9.18 | | | | | COMBINE_EQS: (787), (1081) imply: % 59.08/9.18 | | | | | (1082) all_12_10 = e10 % 59.08/9.18 | | | | | % 59.08/9.18 | | | | | REDUCE: (1049), (1082) imply: % 59.08/9.18 | | | | | (1083) $false % 59.08/9.18 | | | | | % 59.08/9.18 | | | | | CLOSE: (1083) is inconsistent. % 59.08/9.18 | | | | | % 59.08/9.18 | | | | Case 2: % 59.08/9.18 | | | | | % 59.08/9.18 | | | | | (1084) all_16_10 = e13 | all_16_10 = e12 | all_16_10 = e11 % 59.08/9.18 | | | | | % 59.08/9.18 | | | | | BETA: splitting (209) gives: % 59.08/9.18 | | | | | % 59.08/9.18 | | | | | Case 1: % 59.08/9.18 | | | | | | % 59.08/9.18 | | | | | | (1085) all_16_13 = e10 % 59.08/9.18 | | | | | | % 59.08/9.18 | | | | | | COMBINE_EQS: (773), (1085) imply: % 59.08/9.18 | | | | | | (1086) all_12_7 = e10 % 59.08/9.18 | | | | | | % 59.08/9.18 | | | | | | SIMP: (1086) implies: % 59.08/9.18 | | | | | | (1087) all_12_7 = e10 % 59.08/9.18 | | | | | | % 59.08/9.18 | | | | | | COMBINE_EQS: (805), (1087) imply: % 59.08/9.18 | | | | | | (1088) all_24_13 = e10 % 59.08/9.18 | | | | | | % 59.08/9.18 | | | | | | REDUCE: (95), (1087) imply: % 59.08/9.18 | | | | | | (1089) ~ (all_12_3 = e10) % 59.08/9.18 | | | | | | % 59.08/9.18 | | | | | | REDUCE: (90), (1087) imply: % 59.08/9.18 | | | | | | (1090) ~ (all_12_4 = e10) % 59.08/9.18 | | | | | | % 59.08/9.18 | | | | | | REDUCE: (868), (1087) imply: % 59.08/9.18 | | | | | | (1091) ~ (e12 = e10) % 59.08/9.18 | | | | | | % 59.08/9.18 | | | | | | REDUCE: (909), (1087) imply: % 59.08/9.18 | | | | | | (1092) h2(e10) = all_28_101 % 59.08/9.18 | | | | | | % 59.08/9.18 | | | | | | REDUCE: (925), (1087) imply: % 59.08/9.18 | | | | | | (1093) h1(e10) = all_28_150 % 59.08/9.18 | | | | | | % 59.08/9.18 | | | | | | BETA: splitting (306) gives: % 59.08/9.18 | | | | | | % 59.08/9.18 | | | | | | Case 1: % 59.08/9.18 | | | | | | | % 59.08/9.18 | | | | | | | (1094) all_24_12 = e13 % 59.08/9.18 | | | | | | | % 59.08/9.18 | | | | | | | COMBINE_EQS: (806), (1094) imply: % 59.08/9.18 | | | | | | | (1095) all_12_3 = e13 % 59.08/9.18 | | | | | | | % 59.08/9.18 | | | | | | | SIMP: (1095) implies: % 59.08/9.18 | | | | | | | (1096) all_12_3 = e13 % 59.08/9.18 | | | | | | | % 59.08/9.18 | | | | | | | COMBINE_EQS: (513), (1096) imply: % 59.08/9.18 | | | | | | | (1097) all_20_2 = e13 % 59.08/9.18 | | | | | | | % 59.08/9.18 | | | | | | | REDUCE: (108), (1096) imply: % 59.08/9.18 | | | | | | | (1098) ~ (all_12_0 = e13) % 59.08/9.18 | | | | | | | % 59.08/9.18 | | | | | | | REDUCE: (99), (1096) imply: % 59.08/9.18 | | | | | | | (1099) ~ (all_12_2 = e13) % 59.08/9.18 | | | | | | | % 59.08/9.18 | | | | | | | REDUCE: (908), (1096) imply: % 59.08/9.18 | | | | | | | (1100) h2(e13) = all_28_98 % 59.08/9.18 | | | | | | | % 59.08/9.18 | | | | | | | REDUCE: (924), (1096) imply: % 59.08/9.18 | | | | | | | (1101) h1(e13) = all_28_146 % 59.08/9.18 | | | | | | | % 59.08/9.18 | | | | | | | BETA: splitting (267) gives: % 59.08/9.18 | | | | | | | % 59.08/9.18 | | | | | | | Case 1: % 59.08/9.18 | | | | | | | | % 59.08/9.18 | | | | | | | | (1102) (all_20_10 = e13 & ( ~ (all_20_12 = e13) | all_20_0 = % 59.08/9.18 | | | | | | | | e12) & ( ~ (all_20_14 = e13) | all_20_1 = e11) & ( % 59.08/9.18 | | | | | | | | ~ (all_20_15 = e13) | all_20_2 = e10)) | % 59.08/9.18 | | | | | | | | (all_20_12 = e12 & ( ~ (all_20_10 = e12) | all_20_3 = % 59.08/9.18 | | | | | | | | e13) & ( ~ (all_20_14 = e12) | all_20_4 = e11) & ( % 59.08/9.18 | | | | | | | | ~ (all_20_15 = e12) | all_20_5 = e10)) % 59.08/9.18 | | | | | | | | % 59.08/9.18 | | | | | | | | BETA: splitting (1102) gives: % 59.08/9.18 | | | | | | | | % 59.08/9.18 | | | | | | | | Case 1: % 59.08/9.18 | | | | | | | | | % 59.08/9.18 | | | | | | | | | (1103) all_20_10 = e13 & ( ~ (all_20_12 = e13) | all_20_0 = % 59.08/9.18 | | | | | | | | | e12) & ( ~ (all_20_14 = e13) | all_20_1 = e11) & ( % 59.08/9.18 | | | | | | | | | ~ (all_20_15 = e13) | all_20_2 = e10) % 59.08/9.18 | | | | | | | | | % 59.08/9.18 | | | | | | | | | REF_CLOSE: (636), (1098), (1103) are inconsistent by sub-proof % 59.08/9.18 | | | | | | | | | #181. % 59.08/9.18 | | | | | | | | | % 59.08/9.18 | | | | | | | | Case 2: % 59.08/9.18 | | | | | | | | | % 59.08/9.18 | | | | | | | | | (1104) all_20_12 = e12 & ( ~ (all_20_10 = e12) | all_20_3 = % 59.08/9.18 | | | | | | | | | e13) & ( ~ (all_20_14 = e12) | all_20_4 = e11) & ( % 59.08/9.18 | | | | | | | | | ~ (all_20_15 = e12) | all_20_5 = e10) % 59.08/9.18 | | | | | | | | | % 59.08/9.18 | | | | | | | | | ALPHA: (1104) implies: % 59.08/9.19 | | | | | | | | | (1105) all_20_12 = e12 % 59.08/9.19 | | | | | | | | | % 59.08/9.19 | | | | | | | | | COMBINE_EQS: (711), (1105) imply: % 59.08/9.19 | | | | | | | | | (1106) all_12_5 = e12 % 59.08/9.19 | | | | | | | | | % 59.08/9.19 | | | | | | | | | SIMP: (1106) implies: % 59.08/9.19 | | | | | | | | | (1107) all_12_5 = e12 % 59.08/9.19 | | | | | | | | | % 59.08/9.19 | | | | | | | | | COMBINE_EQS: (648), (1107) imply: % 59.08/9.19 | | | | | | | | | (1108) all_24_3 = e12 % 59.08/9.19 | | | | | | | | | % 59.08/9.19 | | | | | | | | | REDUCE: (102), (1107) imply: % 59.08/9.19 | | | | | | | | | (1109) ~ (all_12_1 = e12) % 59.08/9.19 | | | | | | | | | % 59.08/9.19 | | | | | | | | | REDUCE: (85), (1107) imply: % 59.08/9.19 | | | | | | | | | (1110) ~ (all_12_9 = e12) % 59.08/9.19 | | | | | | | | | % 59.08/9.19 | | | | | | | | | REDUCE: (901), (1107) imply: % 59.08/9.19 | | | | | | | | | (1111) h2(e12) = all_28_83 % 59.08/9.19 | | | | | | | | | % 59.08/9.19 | | | | | | | | | REDUCE: (917), (1107) imply: % 59.08/9.19 | | | | | | | | | (1112) h1(e12) = all_28_124 % 59.08/9.19 | | | | | | | | | % 59.08/9.19 | | | | | | | | | BETA: splitting (319) gives: % 59.08/9.19 | | | | | | | | | % 59.08/9.19 | | | | | | | | | Case 1: % 59.08/9.19 | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | (1113) all_24_0 = e12 % 59.08/9.19 | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | REF_CLOSE: (810), (1066), (1113) are inconsistent by % 59.08/9.19 | | | | | | | | | | sub-proof #180. % 59.08/9.19 | | | | | | | | | | % 59.08/9.19 | | | | | | | | | Case 2: % 59.08/9.19 | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | (1114) all_24_2 = e12 | all_24_6 = e12 | all_24_12 = e12 % 59.08/9.19 | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | BETA: splitting (1114) gives: % 59.08/9.19 | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | Case 1: % 59.08/9.19 | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | (1115) all_24_2 = e12 % 59.08/9.19 | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | REF_CLOSE: (646), (1109), (1115) are inconsistent by % 59.08/9.19 | | | | | | | | | | | sub-proof #179. % 59.08/9.19 | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | Case 2: % 59.08/9.19 | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | (1116) all_24_6 = e12 | all_24_12 = e12 % 59.08/9.19 | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | BETA: splitting (1116) gives: % 59.08/9.19 | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | Case 1: % 59.08/9.19 | | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | | (1117) all_24_6 = e12 % 59.08/9.19 | | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | | COMBINE_EQS: (655), (1117) imply: % 59.08/9.19 | | | | | | | | | | | | (1118) all_12_2 = e12 % 59.08/9.19 | | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | | SIMP: (1118) implies: % 59.08/9.19 | | | | | | | | | | | | (1119) all_12_2 = e12 % 59.08/9.19 | | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | | COMBINE_EQS: (717), (1119) imply: % 59.08/9.19 | | | | | | | | | | | | (1120) all_20_1 = e12 % 59.08/9.19 | | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | | REDUCE: (98), (1119) imply: % 59.08/9.19 | | | | | | | | | | | | (1121) ~ (all_12_6 = e12) % 59.08/9.19 | | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | | SIMP: (1121) implies: % 59.08/9.19 | | | | | | | | | | | | (1122) ~ (all_12_6 = e12) % 59.08/9.19 | | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | | REDUCE: (97), (1119) imply: % 59.08/9.19 | | | | | | | | | | | | (1123) ~ (all_12_10 = e12) % 59.08/9.19 | | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | | REDUCE: (904), (1119) imply: % 59.08/9.19 | | | | | | | | | | | | (1124) h2(e12) = all_28_89 % 59.08/9.19 | | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | | REDUCE: (920), (1119) imply: % 59.08/9.19 | | | | | | | | | | | | (1125) h1(e12) = all_28_133 % 59.08/9.19 | | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | | BETA: splitting (268) gives: % 59.08/9.19 | | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | | Case 1: % 59.08/9.19 | | | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | | | (1126) (all_20_0 = e12 & all_20_14 = e13 & ~ (all_20_1 = % 59.08/9.19 | | | | | | | | | | | | | e11) & ~ (all_20_12 = e13)) | (all_20_0 = e12 % 59.08/9.19 | | | | | | | | | | | | | & all_20_15 = e13 & ~ (all_20_2 = e10) & ~ % 59.08/9.19 | | | | | | | | | | | | | (all_20_12 = e13)) | (all_20_1 = e11 & all_20_12 % 59.08/9.19 | | | | | | | | | | | | | = e13 & ~ (all_20_0 = e12) & ~ (all_20_14 = % 59.08/9.19 | | | | | | | | | | | | | e13)) | (all_20_1 = e11 & all_20_15 = e13 & ~ % 59.08/9.19 | | | | | | | | | | | | | (all_20_2 = e10) & ~ (all_20_14 = e13)) | % 59.08/9.19 | | | | | | | | | | | | | (all_20_2 = e10 & all_20_12 = e13 & ~ (all_20_0 = % 59.08/9.19 | | | | | | | | | | | | | e12) & ~ (all_20_15 = e13)) | (all_20_2 = e10 % 59.08/9.19 | | | | | | | | | | | | | & all_20_14 = e13 & ~ (all_20_1 = e11) & ~ % 59.08/9.19 | | | | | | | | | | | | | (all_20_15 = e13)) | (all_20_3 = e13 & all_20_14 % 59.08/9.19 | | | | | | | | | | | | | = e12 & ~ (all_20_4 = e11) & ~ (all_20_10 = % 59.08/9.19 | | | | | | | | | | | | | e12)) | (all_20_3 = e13 & all_20_15 = e12 & ~ % 59.08/9.19 | | | | | | | | | | | | | (all_20_5 = e10) & ~ (all_20_10 = e12)) | % 59.08/9.19 | | | | | | | | | | | | | (all_20_4 = e11 & all_20_10 = e12 & ~ (all_20_3 = % 59.08/9.19 | | | | | | | | | | | | | e13) & ~ (all_20_14 = e12)) | (all_20_4 = e11 % 59.08/9.19 | | | | | | | | | | | | | & all_20_15 = e12 & ~ (all_20_5 = e10) & ~ % 59.08/9.19 | | | | | | | | | | | | | (all_20_14 = e12)) | (all_20_5 = e10 & all_20_10 % 59.08/9.19 | | | | | | | | | | | | | = e12 & ~ (all_20_3 = e13) & ~ (all_20_15 = % 59.08/9.19 | | | | | | | | | | | | | e12)) | (all_20_5 = e10 & all_20_14 = e12 & ~ % 59.08/9.19 | | | | | | | | | | | | | (all_20_4 = e11) & ~ (all_20_15 = e12)) % 59.08/9.19 | | | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | | | BETA: splitting (1126) gives: % 59.08/9.19 | | | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | | | Case 1: % 59.08/9.19 | | | | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | | | | (1127) (all_20_0 = e12 & all_20_14 = e13 & ~ (all_20_1 = % 59.08/9.19 | | | | | | | | | | | | | | e11) & ~ (all_20_12 = e13)) | (all_20_0 = e12 % 59.08/9.19 | | | | | | | | | | | | | | & all_20_15 = e13 & ~ (all_20_2 = e10) & ~ % 59.08/9.19 | | | | | | | | | | | | | | (all_20_12 = e13)) | (all_20_1 = e11 & all_20_12 % 59.08/9.19 | | | | | | | | | | | | | | = e13 & ~ (all_20_0 = e12) & ~ (all_20_14 = % 59.08/9.19 | | | | | | | | | | | | | | e13)) | (all_20_1 = e11 & all_20_15 = e13 & ~ % 59.08/9.19 | | | | | | | | | | | | | | (all_20_2 = e10) & ~ (all_20_14 = e13)) | % 59.08/9.19 | | | | | | | | | | | | | | (all_20_2 = e10 & all_20_12 = e13 & ~ (all_20_0 = % 59.08/9.19 | | | | | | | | | | | | | | e12) & ~ (all_20_15 = e13)) | (all_20_2 = e10 % 59.08/9.19 | | | | | | | | | | | | | | & all_20_14 = e13 & ~ (all_20_1 = e11) & ~ % 59.08/9.19 | | | | | | | | | | | | | | (all_20_15 = e13)) % 59.08/9.19 | | | | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | | | | BETA: splitting (1127) gives: % 59.08/9.19 | | | | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | | | | Case 1: % 59.08/9.19 | | | | | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | | | | | (1128) (all_20_0 = e12 & all_20_14 = e13 & ~ (all_20_1 = % 59.08/9.19 | | | | | | | | | | | | | | | e11) & ~ (all_20_12 = e13)) | (all_20_0 = e12 % 59.08/9.19 | | | | | | | | | | | | | | | & all_20_15 = e13 & ~ (all_20_2 = e10) & ~ % 59.08/9.19 | | | | | | | | | | | | | | | (all_20_12 = e13)) | (all_20_1 = e11 & all_20_12 % 59.08/9.19 | | | | | | | | | | | | | | | = e13 & ~ (all_20_0 = e12) & ~ (all_20_14 = % 59.08/9.19 | | | | | | | | | | | | | | | e13)) % 59.08/9.19 | | | | | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | | | | | BETA: splitting (1128) gives: % 59.08/9.19 | | | | | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | | | | | Case 1: % 59.08/9.19 | | | | | | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | | | | | | (1129) all_20_0 = e12 & all_20_14 = e13 & ~ (all_20_1 = % 59.08/9.19 | | | | | | | | | | | | | | | | e11) & ~ (all_20_12 = e13) % 59.08/9.19 | | | | | | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | | | | | | ALPHA: (1129) implies: % 59.08/9.19 | | | | | | | | | | | | | | | | (1130) all_20_0 = e12 % 59.08/9.19 | | | | | | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | | | | | | COMBINE_EQS: (708), (1130) imply: % 59.08/9.19 | | | | | | | | | | | | | | | | (1131) all_12_1 = e12 % 59.08/9.19 | | | | | | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | | | | | | REDUCE: (1109), (1131) imply: % 59.08/9.19 | | | | | | | | | | | | | | | | (1132) $false % 59.08/9.19 | | | | | | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | | | | | | CLOSE: (1132) is inconsistent. % 59.08/9.19 | | | | | | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | | | | | Case 2: % 59.08/9.19 | | | | | | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | | | | | | (1133) (all_20_0 = e12 & all_20_15 = e13 & ~ (all_20_2 = % 59.08/9.19 | | | | | | | | | | | | | | | | e10) & ~ (all_20_12 = e13)) | (all_20_1 = e11 % 59.08/9.19 | | | | | | | | | | | | | | | | & all_20_12 = e13 & ~ (all_20_0 = e12) & ~ % 59.08/9.19 | | | | | | | | | | | | | | | | (all_20_14 = e13)) % 59.08/9.19 | | | | | | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | | | | | | BETA: splitting (1133) gives: % 59.08/9.19 | | | | | | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | | | | | | Case 1: % 59.08/9.19 | | | | | | | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | | | | | | | (1134) all_20_0 = e12 & all_20_15 = e13 & ~ (all_20_2 = % 59.08/9.19 | | | | | | | | | | | | | | | | | e10) & ~ (all_20_12 = e13) % 59.08/9.19 | | | | | | | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | | | | | | | REF_CLOSE: (803), (878), (1134) are inconsistent by sub-proof % 59.08/9.19 | | | | | | | | | | | | | | | | | #178. % 59.08/9.19 | | | | | | | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | | | | | | Case 2: % 59.08/9.19 | | | | | | | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | | | | | | | (1135) all_20_1 = e11 & all_20_12 = e13 & ~ (all_20_0 = % 59.08/9.19 | | | | | | | | | | | | | | | | | e12) & ~ (all_20_14 = e13) % 59.08/9.19 | | | | | | | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | | | | | | | REF_CLOSE: (1070), (1120), (1135) are inconsistent by % 59.08/9.19 | | | | | | | | | | | | | | | | | sub-proof #177. % 59.08/9.19 | | | | | | | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | | | | | | End of split % 59.08/9.19 | | | | | | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | | | | | End of split % 59.08/9.19 | | | | | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | | | | Case 2: % 59.08/9.19 | | | | | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | | | | | (1136) (all_20_1 = e11 & all_20_15 = e13 & ~ (all_20_2 = % 59.08/9.19 | | | | | | | | | | | | | | | e10) & ~ (all_20_14 = e13)) | (all_20_2 = e10 % 59.08/9.19 | | | | | | | | | | | | | | | & all_20_12 = e13 & ~ (all_20_0 = e12) & ~ % 59.08/9.19 | | | | | | | | | | | | | | | (all_20_15 = e13)) | (all_20_2 = e10 & all_20_14 % 59.08/9.19 | | | | | | | | | | | | | | | = e13 & ~ (all_20_1 = e11) & ~ (all_20_15 = % 59.08/9.19 | | | | | | | | | | | | | | | e13)) % 59.08/9.19 | | | | | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | | | | | BETA: splitting (1136) gives: % 59.08/9.19 | | | | | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | | | | | Case 1: % 59.08/9.19 | | | | | | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | | | | | | (1137) all_20_1 = e11 & all_20_15 = e13 & ~ (all_20_2 = % 59.08/9.19 | | | | | | | | | | | | | | | | e10) & ~ (all_20_14 = e13) % 59.08/9.19 | | | | | | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | | | | | | REF_CLOSE: (1070), (1120), (1137) are inconsistent by % 59.08/9.19 | | | | | | | | | | | | | | | | sub-proof #176. % 59.08/9.19 | | | | | | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | | | | | Case 2: % 59.08/9.19 | | | | | | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | | | | | | (1138) (all_20_2 = e10 & all_20_12 = e13 & ~ (all_20_0 = % 59.08/9.19 | | | | | | | | | | | | | | | | e12) & ~ (all_20_15 = e13)) | (all_20_2 = e10 % 59.08/9.19 | | | | | | | | | | | | | | | | & all_20_14 = e13 & ~ (all_20_1 = e11) & ~ % 59.08/9.19 | | | | | | | | | | | | | | | | (all_20_15 = e13)) % 59.08/9.19 | | | | | | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | | | | | | BETA: splitting (1138) gives: % 59.08/9.19 | | | | | | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | | | | | | Case 1: % 59.08/9.19 | | | | | | | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | | | | | | | (1139) all_20_2 = e10 & all_20_12 = e13 & ~ (all_20_0 = % 59.08/9.19 | | | | | | | | | | | | | | | | | e12) & ~ (all_20_15 = e13) % 59.08/9.19 | | | | | | | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | | | | | | | ALPHA: (1139) implies: % 59.08/9.19 | | | | | | | | | | | | | | | | | (1140) all_20_12 = e13 % 59.08/9.19 | | | | | | | | | | | | | | | | | (1141) all_20_2 = e10 % 59.08/9.19 | | | | | | | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | | | | | | | COMBINE_EQS: (1097), (1141) imply: % 59.08/9.19 | | | | | | | | | | | | | | | | | (1142) e13 = e10 % 59.08/9.19 | | | | | | | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | | | | | | | SIMP: (1142) implies: % 59.08/9.19 | | | | | | | | | | | | | | | | | (1143) e13 = e10 % 59.08/9.19 | | | | | | | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | | | | | | | COMBINE_EQS: (1105), (1140) imply: % 59.08/9.19 | | | | | | | | | | | | | | | | | (1144) e13 = e12 % 59.08/9.19 | | | | | | | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | | | | | | | COMBINE_EQS: (1143), (1144) imply: % 59.08/9.19 | | | | | | | | | | | | | | | | | (1145) e12 = e10 % 59.08/9.19 | | | | | | | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | | | | | | | REDUCE: (1071), (1145) imply: % 59.08/9.19 | | | | | | | | | | | | | | | | | (1146) $false % 59.08/9.19 | | | | | | | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | | | | | | | CLOSE: (1146) is inconsistent. % 59.08/9.19 | | | | | | | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | | | | | | Case 2: % 59.08/9.19 | | | | | | | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | | | | | | | (1147) all_20_2 = e10 & all_20_14 = e13 & ~ (all_20_1 = % 59.08/9.19 | | | | | | | | | | | | | | | | | e11) & ~ (all_20_15 = e13) % 59.08/9.19 | | | | | | | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | | | | | | | ALPHA: (1147) implies: % 59.08/9.19 | | | | | | | | | | | | | | | | | (1148) all_20_2 = e10 % 59.08/9.19 | | | | | | | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | | | | | | | COMBINE_EQS: (1097), (1148) imply: % 59.08/9.19 | | | | | | | | | | | | | | | | | (1149) e13 = e10 % 59.08/9.19 | | | | | | | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | | | | | | | SIMP: (1149) implies: % 59.08/9.19 | | | | | | | | | | | | | | | | | (1150) e13 = e10 % 59.08/9.19 | | | | | | | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | | | | | | | REDUCE: (8), (1150) imply: % 59.08/9.19 | | | | | | | | | | | | | | | | | (1151) $false % 59.08/9.19 | | | | | | | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | | | | | | | CLOSE: (1151) is inconsistent. % 59.08/9.19 | | | | | | | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | | | | | | End of split % 59.08/9.19 | | | | | | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | | | | | End of split % 59.08/9.19 | | | | | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | | | | End of split % 59.08/9.19 | | | | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | | | Case 2: % 59.08/9.19 | | | | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | | | | (1152) (all_20_3 = e13 & all_20_14 = e12 & ~ (all_20_4 = % 59.08/9.19 | | | | | | | | | | | | | | e11) & ~ (all_20_10 = e12)) | (all_20_3 = e13 % 59.08/9.19 | | | | | | | | | | | | | | & all_20_15 = e12 & ~ (all_20_5 = e10) & ~ % 59.08/9.19 | | | | | | | | | | | | | | (all_20_10 = e12)) | (all_20_4 = e11 & all_20_10 % 59.08/9.19 | | | | | | | | | | | | | | = e12 & ~ (all_20_3 = e13) & ~ (all_20_14 = % 59.08/9.19 | | | | | | | | | | | | | | e12)) | (all_20_4 = e11 & all_20_15 = e12 & ~ % 59.08/9.19 | | | | | | | | | | | | | | (all_20_5 = e10) & ~ (all_20_14 = e12)) | % 59.08/9.19 | | | | | | | | | | | | | | (all_20_5 = e10 & all_20_10 = e12 & ~ (all_20_3 = % 59.08/9.19 | | | | | | | | | | | | | | e13) & ~ (all_20_15 = e12)) | (all_20_5 = e10 % 59.08/9.19 | | | | | | | | | | | | | | & all_20_14 = e12 & ~ (all_20_4 = e11) & ~ % 59.08/9.19 | | | | | | | | | | | | | | (all_20_15 = e12)) % 59.08/9.19 | | | | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | | | | BETA: splitting (1152) gives: % 59.08/9.19 | | | | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | | | | Case 1: % 59.08/9.19 | | | | | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | | | | | (1153) (all_20_3 = e13 & all_20_14 = e12 & ~ (all_20_4 = % 59.08/9.19 | | | | | | | | | | | | | | | e11) & ~ (all_20_10 = e12)) | (all_20_3 = e13 % 59.08/9.19 | | | | | | | | | | | | | | | & all_20_15 = e12 & ~ (all_20_5 = e10) & ~ % 59.08/9.19 | | | | | | | | | | | | | | | (all_20_10 = e12)) | (all_20_4 = e11 & all_20_10 % 59.08/9.19 | | | | | | | | | | | | | | | = e12 & ~ (all_20_3 = e13) & ~ (all_20_14 = % 59.08/9.19 | | | | | | | | | | | | | | | e12)) % 59.08/9.19 | | | | | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | | | | | BETA: splitting (1153) gives: % 59.08/9.19 | | | | | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | | | | | Case 1: % 59.08/9.19 | | | | | | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | | | | | | (1154) all_20_3 = e13 & all_20_14 = e12 & ~ (all_20_4 = % 59.08/9.19 | | | | | | | | | | | | | | | | e11) & ~ (all_20_10 = e12) % 59.08/9.19 | | | | | | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | | | | | | ALPHA: (1154) implies: % 59.08/9.19 | | | | | | | | | | | | | | | | (1155) all_20_14 = e12 % 59.08/9.19 | | | | | | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | | | | | | REF_CLOSE: (721), (873), (1155) are inconsistent by sub-proof % 59.08/9.19 | | | | | | | | | | | | | | | | #175. % 59.08/9.19 | | | | | | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | | | | | Case 2: % 59.08/9.19 | | | | | | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | | | | | | (1156) (all_20_3 = e13 & all_20_15 = e12 & ~ (all_20_5 = % 59.08/9.19 | | | | | | | | | | | | | | | | e10) & ~ (all_20_10 = e12)) | (all_20_4 = e11 % 59.08/9.19 | | | | | | | | | | | | | | | | & all_20_10 = e12 & ~ (all_20_3 = e13) & ~ % 59.08/9.19 | | | | | | | | | | | | | | | | (all_20_14 = e12)) % 59.08/9.19 | | | | | | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | | | | | | BETA: splitting (1156) gives: % 59.08/9.19 | | | | | | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | | | | | | Case 1: % 59.08/9.19 | | | | | | | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | | | | | | | (1157) all_20_3 = e13 & all_20_15 = e12 & ~ (all_20_5 = % 59.08/9.19 | | | | | | | | | | | | | | | | | e10) & ~ (all_20_10 = e12) % 59.08/9.19 | | | | | | | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | | | | | | | ALPHA: (1157) implies: % 59.08/9.19 | | | | | | | | | | | | | | | | | (1158) all_20_15 = e12 % 59.08/9.19 | | | | | | | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | | | | | | | COMBINE_EQS: (803), (1158) imply: % 59.08/9.19 | | | | | | | | | | | | | | | | | (1159) e12 = e11 % 59.08/9.19 | | | | | | | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | | | | | | | REDUCE: (1070), (1159) imply: % 59.08/9.19 | | | | | | | | | | | | | | | | | (1160) $false % 59.08/9.19 | | | | | | | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | | | | | | | CLOSE: (1160) is inconsistent. % 59.08/9.19 | | | | | | | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | | | | | | Case 2: % 59.08/9.19 | | | | | | | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | | | | | | | (1161) all_20_4 = e11 & all_20_10 = e12 & ~ (all_20_3 = % 59.08/9.19 | | | | | | | | | | | | | | | | | e13) & ~ (all_20_14 = e12) % 59.08/9.19 | | | | | | | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | | | | | | | ALPHA: (1161) implies: % 59.08/9.19 | | | | | | | | | | | | | | | | | (1162) all_20_10 = e12 % 59.08/9.19 | | | | | | | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | | | | | | | REF_CLOSE: (636), (1066), (1162) are inconsistent by % 59.08/9.19 | | | | | | | | | | | | | | | | | sub-proof #174. % 59.08/9.19 | | | | | | | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | | | | | | End of split % 59.08/9.19 | | | | | | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | | | | | End of split % 59.08/9.19 | | | | | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | | | | Case 2: % 59.08/9.19 | | | | | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | | | | | (1163) (all_20_4 = e11 & all_20_15 = e12 & ~ (all_20_5 = % 59.08/9.19 | | | | | | | | | | | | | | | e10) & ~ (all_20_14 = e12)) | (all_20_5 = e10 % 59.08/9.19 | | | | | | | | | | | | | | | & all_20_10 = e12 & ~ (all_20_3 = e13) & ~ % 59.08/9.19 | | | | | | | | | | | | | | | (all_20_15 = e12)) | (all_20_5 = e10 & all_20_14 % 59.08/9.19 | | | | | | | | | | | | | | | = e12 & ~ (all_20_4 = e11) & ~ (all_20_15 = % 59.08/9.19 | | | | | | | | | | | | | | | e12)) % 59.08/9.19 | | | | | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | | | | | BETA: splitting (1163) gives: % 59.08/9.19 | | | | | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | | | | | Case 1: % 59.08/9.19 | | | | | | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | | | | | | (1164) all_20_4 = e11 & all_20_15 = e12 & ~ (all_20_5 = % 59.08/9.19 | | | | | | | | | | | | | | | | e10) & ~ (all_20_14 = e12) % 59.08/9.19 | | | | | | | | | | | | | | | | % 59.08/9.19 | | | | | | | | | | | | | | | | REF_CLOSE: (803), (1070), (1164) are inconsistent by % 59.08/9.19 | | | | | | | | | | | | | | | | sub-proof #173. % 59.08/9.19 | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | Case 2: % 59.08/9.20 | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | (1165) (all_20_5 = e10 & all_20_10 = e12 & ~ (all_20_3 = % 59.08/9.20 | | | | | | | | | | | | | | | | e13) & ~ (all_20_15 = e12)) | (all_20_5 = e10 % 59.08/9.20 | | | | | | | | | | | | | | | | & all_20_14 = e12 & ~ (all_20_4 = e11) & ~ % 59.08/9.20 | | | | | | | | | | | | | | | | (all_20_15 = e12)) % 59.08/9.20 | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | BETA: splitting (1165) gives: % 59.08/9.20 | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | Case 1: % 59.08/9.20 | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | (1166) all_20_5 = e10 & all_20_10 = e12 & ~ (all_20_3 = % 59.08/9.20 | | | | | | | | | | | | | | | | | e13) & ~ (all_20_15 = e12) % 59.08/9.20 | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | ALPHA: (1166) implies: % 59.08/9.20 | | | | | | | | | | | | | | | | | (1167) all_20_10 = e12 % 59.08/9.20 | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | REF_CLOSE: (636), (1066), (1167) are inconsistent by % 59.08/9.20 | | | | | | | | | | | | | | | | | sub-proof #174. % 59.08/9.20 | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | Case 2: % 59.08/9.20 | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | (1168) all_20_5 = e10 & all_20_14 = e12 & ~ (all_20_4 = % 59.08/9.20 | | | | | | | | | | | | | | | | | e11) & ~ (all_20_15 = e12) % 59.08/9.20 | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | ALPHA: (1168) implies: % 59.08/9.20 | | | | | | | | | | | | | | | | | (1169) all_20_14 = e12 % 59.08/9.20 | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | REF_CLOSE: (721), (873), (1169) are inconsistent by sub-proof % 59.08/9.20 | | | | | | | | | | | | | | | | | #175. % 59.08/9.20 | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | End of split % 59.08/9.20 | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | End of split % 59.08/9.20 | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | End of split % 59.08/9.20 | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | End of split % 59.08/9.20 | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | Case 2: % 59.08/9.20 | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | (1170) (all_20_6 = e13 & all_20_12 = e11 & ~ (all_20_7 = % 59.08/9.20 | | | | | | | | | | | | | e12) & ~ (all_20_10 = e11)) | (all_20_6 = e13 % 59.08/9.20 | | | | | | | | | | | | | & all_20_15 = e11 & ~ (all_20_8 = e10) & ~ % 59.08/9.20 | | | | | | | | | | | | | (all_20_10 = e11)) | (all_20_7 = e12 & all_20_10 % 59.08/9.20 | | | | | | | | | | | | | = e11 & ~ (all_20_6 = e13) & ~ (all_20_12 = % 59.08/9.20 | | | | | | | | | | | | | e11)) | (all_20_7 = e12 & all_20_15 = e11 & ~ % 59.08/9.20 | | | | | | | | | | | | | (all_20_8 = e10) & ~ (all_20_12 = e11)) | % 59.08/9.20 | | | | | | | | | | | | | (all_20_8 = e10 & all_20_10 = e11 & ~ (all_20_6 = % 59.08/9.20 | | | | | | | | | | | | | e13) & ~ (all_20_15 = e11)) | (all_20_8 = e10 % 59.08/9.20 | | | | | | | | | | | | | & all_20_12 = e11 & ~ (all_20_7 = e12) & ~ % 59.08/9.20 | | | | | | | | | | | | | (all_20_15 = e11)) | (all_20_9 = e13 & all_20_12 % 59.08/9.20 | | | | | | | | | | | | | = e10 & ~ (all_20_10 = e10) & ~ (all_20_11 = % 59.08/9.20 | | | | | | | | | | | | | e12)) | (all_20_9 = e13 & all_20_14 = e10 & ~ % 59.08/9.20 | | | | | | | | | | | | | (all_20_10 = e10) & ~ (all_20_13 = e11)) | % 59.08/9.20 | | | | | | | | | | | | | (all_20_10 = e10 & all_20_11 = e12 & ~ (all_20_9 % 59.08/9.20 | | | | | | | | | | | | | = e13) & ~ (all_20_12 = e10)) | (all_20_10 = % 59.08/9.20 | | | | | | | | | | | | | e10 & all_20_13 = e11 & ~ (all_20_9 = e13) & ~ % 59.08/9.20 | | | | | | | | | | | | | (all_20_14 = e10)) | (all_20_11 = e12 & % 59.08/9.20 | | | | | | | | | | | | | all_20_14 = e10 & ~ (all_20_12 = e10) & ~ % 59.08/9.20 | | | | | | | | | | | | | (all_20_13 = e11)) | (all_20_12 = e10 & % 59.08/9.20 | | | | | | | | | | | | | all_20_13 = e11 & ~ (all_20_11 = e12) & ~ % 59.08/9.20 | | | | | | | | | | | | | (all_20_14 = e10)) % 59.08/9.20 | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | BETA: splitting (1170) gives: % 59.08/9.20 | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | Case 1: % 59.08/9.20 | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | (1171) (all_20_6 = e13 & all_20_12 = e11 & ~ (all_20_7 = % 59.08/9.20 | | | | | | | | | | | | | | e12) & ~ (all_20_10 = e11)) | (all_20_6 = e13 % 59.08/9.20 | | | | | | | | | | | | | | & all_20_15 = e11 & ~ (all_20_8 = e10) & ~ % 59.08/9.20 | | | | | | | | | | | | | | (all_20_10 = e11)) | (all_20_7 = e12 & all_20_10 % 59.08/9.20 | | | | | | | | | | | | | | = e11 & ~ (all_20_6 = e13) & ~ (all_20_12 = % 59.08/9.20 | | | | | | | | | | | | | | e11)) | (all_20_7 = e12 & all_20_15 = e11 & ~ % 59.08/9.20 | | | | | | | | | | | | | | (all_20_8 = e10) & ~ (all_20_12 = e11)) | % 59.08/9.20 | | | | | | | | | | | | | | (all_20_8 = e10 & all_20_10 = e11 & ~ (all_20_6 = % 59.08/9.20 | | | | | | | | | | | | | | e13) & ~ (all_20_15 = e11)) | (all_20_8 = e10 % 59.08/9.20 | | | | | | | | | | | | | | & all_20_12 = e11 & ~ (all_20_7 = e12) & ~ % 59.08/9.20 | | | | | | | | | | | | | | (all_20_15 = e11)) % 59.08/9.20 | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | BETA: splitting (1171) gives: % 59.08/9.20 | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | Case 1: % 59.08/9.20 | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | (1172) (all_20_6 = e13 & all_20_12 = e11 & ~ (all_20_7 = % 59.08/9.20 | | | | | | | | | | | | | | | e12) & ~ (all_20_10 = e11)) | (all_20_6 = e13 % 59.08/9.20 | | | | | | | | | | | | | | | & all_20_15 = e11 & ~ (all_20_8 = e10) & ~ % 59.08/9.20 | | | | | | | | | | | | | | | (all_20_10 = e11)) | (all_20_7 = e12 & all_20_10 % 59.08/9.20 | | | | | | | | | | | | | | | = e11 & ~ (all_20_6 = e13) & ~ (all_20_12 = % 59.08/9.20 | | | | | | | | | | | | | | | e11)) % 59.08/9.20 | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | BETA: splitting (1172) gives: % 59.08/9.20 | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | Case 1: % 59.08/9.20 | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | (1173) all_20_6 = e13 & all_20_12 = e11 & ~ (all_20_7 = % 59.08/9.20 | | | | | | | | | | | | | | | | e12) & ~ (all_20_10 = e11) % 59.08/9.20 | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | REF_CLOSE: (1070), (1105), (1173) are inconsistent by % 59.08/9.20 | | | | | | | | | | | | | | | | sub-proof #172. % 59.08/9.20 | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | Case 2: % 59.08/9.20 | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | (1174) (all_20_6 = e13 & all_20_15 = e11 & ~ (all_20_8 = % 59.08/9.20 | | | | | | | | | | | | | | | | e10) & ~ (all_20_10 = e11)) | (all_20_7 = e12 % 59.08/9.20 | | | | | | | | | | | | | | | | & all_20_10 = e11 & ~ (all_20_6 = e13) & ~ % 59.08/9.20 | | | | | | | | | | | | | | | | (all_20_12 = e11)) % 59.08/9.20 | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | BETA: splitting (1174) gives: % 59.08/9.20 | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | Case 1: % 59.08/9.20 | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | (1175) all_20_6 = e13 & all_20_15 = e11 & ~ (all_20_8 = % 59.08/9.20 | | | | | | | | | | | | | | | | | e10) & ~ (all_20_10 = e11) % 59.08/9.20 | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | ALPHA: (1175) implies: % 59.08/9.20 | | | | | | | | | | | | | | | | | (1176) all_20_6 = e13 % 59.08/9.20 | | | | | | | | | | | | | | | | | (1177) ~ (all_20_10 = e11) % 59.08/9.20 | | | | | | | | | | | | | | | | | (1178) ~ (all_20_8 = e10) % 59.08/9.20 | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | COMBINE_EQS: (713), (1176) imply: % 59.08/9.20 | | | | | | | | | | | | | | | | | (1179) all_12_8 = e13 % 59.08/9.20 | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | SIMP: (1179) implies: % 59.08/9.20 | | | | | | | | | | | | | | | | | (1180) all_12_8 = e13 % 59.08/9.20 | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | COMBINE_EQS: (641), (1180) imply: % 59.08/9.20 | | | | | | | | | | | | | | | | | (1181) all_24_4 = e13 % 59.08/9.20 | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | REDUCE: (636), (1177) imply: % 59.08/9.20 | | | | | | | | | | | | | | | | | (1182) ~ (all_12_0 = e11) % 59.08/9.20 | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | REDUCE: (89), (1180) imply: % 59.08/9.20 | | | | | | | | | | | | | | | | | (1183) ~ (all_12_4 = e13) % 59.08/9.20 | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | REDUCE: (78), (1180) imply: % 59.08/9.20 | | | | | | | | | | | | | | | | | (1184) ~ (all_12_9 = e13) % 59.08/9.20 | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | REDUCE: (898), (1180) imply: % 59.08/9.20 | | | | | | | | | | | | | | | | | (1185) h2(e13) = all_28_77 % 59.08/9.20 | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | REDUCE: (914), (1180) imply: % 59.08/9.20 | | | | | | | | | | | | | | | | | (1186) h1(e13) = all_28_115 % 59.08/9.20 | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | BETA: splitting (220) gives: % 59.08/9.20 | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | Case 1: % 59.08/9.20 | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | (1187) all_16_1 = e10 % 59.08/9.20 | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | REF_CLOSE: (769), (1090), (1187) are inconsistent by % 59.08/9.20 | | | | | | | | | | | | | | | | | | sub-proof #171. % 59.08/9.20 | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | Case 2: % 59.08/9.20 | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | (1188) ~ (all_16_1 = e10) % 59.08/9.20 | | | | | | | | | | | | | | | | | | (1189) all_16_1 = e13 | all_16_1 = e12 | all_16_1 = e11 % 59.08/9.20 | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | BETA: splitting (1189) gives: % 59.08/9.20 | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | Case 1: % 59.08/9.20 | | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | | (1190) all_16_1 = e12 % 59.08/9.20 | | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (769), (1067), (1190) are inconsistent by % 59.08/9.20 | | | | | | | | | | | | | | | | | | | sub-proof #170. % 59.08/9.20 | | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | Case 2: % 59.08/9.20 | | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | | (1191) ~ (all_16_1 = e12) % 59.08/9.20 | | | | | | | | | | | | | | | | | | | (1192) all_16_1 = e13 | all_16_1 = e11 % 59.08/9.20 | | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | | BETA: splitting (318) gives: % 59.08/9.20 | | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | | Case 1: % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | (1193) all_24_0 = e11 % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (810), (1193) imply: % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | (1194) all_12_0 = e11 % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | SIMP: (1194) implies: % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | (1195) all_12_0 = e11 % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | REDUCE: (1182), (1195) imply: % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | (1196) $false % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | CLOSE: (1196) is inconsistent. % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | | Case 2: % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | (1197) all_24_2 = e11 | all_24_6 = e11 | all_24_12 = e11 % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | BETA: splitting (1197) gives: % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | Case 1: % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | (1198) all_24_2 = e11 % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (646), (1198) imply: % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | (1199) all_12_1 = e11 % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | SIMP: (1199) implies: % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | (1200) all_12_1 = e11 % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | REDUCE: (864), (1200) imply: % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | (1201) ~ (e13 = e11) % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | REDUCE: (900), (1200) imply: % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | (1202) h2(e11) = all_28_81 % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | REDUCE: (916), (1200) imply: % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | (1203) h1(e11) = all_28_121 % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives: % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | (1204) all_16_6 = e10 % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (776), (1204) imply: % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | (1205) all_12_9 = e10 % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (651), (1205) imply: % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | (1206) all_24_5 = e10 % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (902), (1205) imply: % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | (1207) h2(e10) = all_28_85 % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (918), (1205) imply: % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | (1208) h1(e10) = all_28_127 % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (317) gives: % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | (1209) all_24_0 = e10 % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (810), (1209) imply: % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | (1210) all_12_0 = e10 % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1210) implies: % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | (1211) all_12_0 = e10 % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (107), (1211) imply: % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | (1212) ~ (all_12_4 = e10) % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (896), (1211) imply: % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | (1213) h2(e10) = all_28_73 % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (912), (1211) imply: % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | (1214) h1(e10) = all_28_109 % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (311) gives: % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | (1215) all_24_4 = e11 % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1181), (1215) imply: % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | (1216) e13 = e11 % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1216) implies: % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | (1217) e13 = e11 % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (878), (1217) imply: % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | (1218) $false % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1218) is inconsistent. % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | (1219) all_24_5 = e11 | all_24_8 = e11 | all_24_14 = e11 % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1192) gives: % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | (1220) all_16_1 = e11 % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (769), (1220) imply: % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | (1221) all_12_4 = e11 % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (91), (1221) imply: % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | (1222) ~ (all_12_6 = e11) % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1222) implies: % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | (1223) ~ (all_12_6 = e11) % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1067), (1221) imply: % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | (1224) ~ (e12 = e11) % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (897), (1221) imply: % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | (1225) h2(e11) = all_28_75 % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (913), (1221) imply: % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | (1226) h1(e11) = all_28_112 % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives: % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (1227) all_16_9 = e10 % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (771), (1048), (1227) are inconsistent by % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #169. % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (1228) all_16_9 = e13 | all_16_9 = e12 | all_16_9 = e11 % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1228) gives: % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1229) all_16_9 = e12 % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (771), (1229) imply: % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1230) all_12_6 = e12 % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1230) implies: % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1231) all_12_6 = e12 % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1122), (1231) imply: % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1232) $false % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1232) is inconsistent. % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1233) all_16_9 = e13 | all_16_9 = e11 % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1233) gives: % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1234) all_16_9 = e11 % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (771), (1234) imply: % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1235) all_12_6 = e11 % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1235) implies: % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1236) all_12_6 = e11 % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1223), (1236) imply: % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1237) $false % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1237) is inconsistent. % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1238) all_16_9 = e13 % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (771), (1238) imply: % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1239) all_12_6 = e13 % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1239) implies: % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1240) all_12_6 = e13 % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (905), (1240) imply: % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1241) h2(e13) = all_28_91 % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (921), (1240) imply: % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1242) h1(e13) = all_28_136 % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1219) gives: % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1243) all_24_5 = e11 % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1206), (1243) imply: % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1244) e11 = e10 % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (1244) imply: % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1245) $false % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1245) is inconsistent. % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1246) all_24_8 = e11 | all_24_14 = e11 % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1246) gives: % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1247) all_24_8 = e11 % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (521), (1247) imply: % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1248) all_12_10 = e11 % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1248) implies: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1249) all_12_10 = e11 % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (906), (1249) imply: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1250) h2(e11) = all_28_93 % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (922), (1249) imply: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1251) h1(e11) = all_28_139 % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (26) with all_28_150, all_28_127, % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10, simplifying with (1093), (1208) gives: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1252) all_28_127 = all_28_150 % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (26) with e20, all_28_109, e10, % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (59), (1214) gives: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1253) all_28_109 = e20 % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (26) with all_28_127, all_28_109, % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10, simplifying with (1208), (1214) gives: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1254) all_28_109 = all_28_127 % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (26) with e21, all_28_112, e11, % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (928), (1226) gives: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1255) all_28_112 = e21 % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (26) with all_28_121, all_28_112, % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11, simplifying with (1203), (1226) gives: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1256) all_28_112 = all_28_121 % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (26) with all_28_139, all_28_112, % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11, simplifying with (1226), (1251) gives: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1257) all_28_112 = all_28_139 % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (26) with e22, all_28_124, e12, % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1013), (1112) gives: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1258) all_28_124 = e22 % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (26) with all_28_133, all_28_124, % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12, simplifying with (1112), (1125) gives: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1259) all_28_124 = all_28_133 % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (26) with e23, all_28_136, e13, % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1029), (1242) gives: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1260) all_28_136 = e23 % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (26) with all_28_136, all_28_115, % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13, simplifying with (1186), (1242) gives: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1261) all_28_115 = all_28_136 % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (26) with all_28_146, all_28_115, % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13, simplifying with (1101), (1186) gives: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1262) all_28_115 = all_28_146 % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with e21, all_28_73, e10, % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (36), (1213) gives: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1263) all_28_73 = e21 % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_28_85, all_28_73, e10, % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1207), (1213) gives: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1264) all_28_73 = all_28_85 % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_28_101, all_28_73, % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10, simplifying with (1092), (1213) gives: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1265) all_28_73 = all_28_101 % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_4_2, all_28_75, e11, % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (37), (1225) gives: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1266) all_28_75 = all_4_2 % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_28_81, all_28_75, e11, % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1202), (1225) gives: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1267) all_28_75 = all_28_81 % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_28_93, all_28_75, e11, % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1225), (1250) gives: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1268) all_28_75 = all_28_93 % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_4_1, all_28_83, e12, % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (38), (1111) gives: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1269) all_28_83 = all_4_1 % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_28_89, all_28_83, e12, % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1111), (1124) gives: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1270) all_28_83 = all_28_89 % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_28_98, all_28_91, e13, % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1100), (1241) gives: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1271) all_28_91 = all_28_98 % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_4_0, all_28_77, e13, % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (39), (1185) gives: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1272) all_28_77 = all_4_0 % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_28_91, all_28_77, e13, % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1185), (1241) gives: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1273) all_28_77 = all_28_91 % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1263), (1264) imply: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1274) all_28_85 = e21 % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1264), (1265) imply: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1275) all_28_85 = all_28_101 % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1266), (1267) imply: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1276) all_28_81 = all_4_2 % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1267), (1268) imply: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1277) all_28_81 = all_28_93 % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1272), (1273) imply: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1278) all_28_91 = all_4_0 % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1278) implies: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1279) all_28_91 = all_4_0 % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1276), (1277) imply: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1280) all_28_93 = all_4_2 % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1269), (1270) imply: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1281) all_28_89 = all_4_1 % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1274), (1275) imply: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1282) all_28_101 = e21 % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1282) implies: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1283) all_28_101 = e21 % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1271), (1279) imply: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1284) all_28_98 = all_4_0 % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1284) implies: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1285) all_28_98 = all_4_0 % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1253), (1254) imply: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1286) all_28_127 = e20 % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1286) implies: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1287) all_28_127 = e20 % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1255), (1256) imply: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1288) all_28_121 = e21 % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1256), (1257) imply: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1289) all_28_121 = all_28_139 % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1261), (1262) imply: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1290) all_28_136 = all_28_146 % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1290) implies: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1291) all_28_136 = all_28_146 % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1288), (1289) imply: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1292) all_28_139 = e21 % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1292) implies: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1293) all_28_139 = e21 % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1258), (1259) imply: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1294) all_28_133 = e22 % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1294) implies: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1295) all_28_133 = e22 % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1252), (1287) imply: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1296) all_28_150 = e20 % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1296) implies: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1297) all_28_150 = e20 % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1260), (1291) imply: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1298) all_28_146 = e23 % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1262), (1298) imply: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1299) all_28_115 = e23 % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1300) all_18_11 = e20 % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (760), (1300) imply: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1301) all_14_14 = e20 % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (694), (1301) imply: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1302) all_22_13 = e20 % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (583), (1301) imply: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1303) all_26_11 = e20 % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (988), (1301) imply: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1304) all_28_141 = e20 % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (1301) imply: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1305) ~ (all_14_6 = e20) % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (132), (1301) imply: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1306) ~ (all_14_12 = e20) % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (856), (1301) imply: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1307) ~ (all_4_2 = e20) % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1307) implies: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1308) ~ (all_4_2 = e20) % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (863), (1301) imply: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1309) ~ (e21 = e20) % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (180), (1301) imply: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1310) op2(e21, e20) = e20 % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1311) all_18_3 = e20 % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (752), (1311) imply: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1312) all_14_12 = e20 % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1306), (1312) imply: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1313) $false % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1313) is inconsistent. % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1314) ~ (all_18_3 = e20) % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1315) all_18_3 = e23 | all_18_3 = e22 | all_18_3 = e21 % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1315) gives: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1316) all_18_3 = e22 % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (752), (1316) imply: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1317) all_14_12 = e22 % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (691), (1317) imply: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1318) all_22_9 = e22 % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (610), (1317) imply: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1319) all_26_9 = e22 % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1040), (1317) imply: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1320) all_28_117 = e22 % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (153), (1317) imply: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1321) ~ (all_14_4 = e22) % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (832), (1317) imply: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1322) ~ (all_8_2 = e22) % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1322) implies: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1323) ~ (all_8_2 = e22) % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (188), (1317) imply: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1324) op2(e23, e20) = e22 % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1325) all_18_12 = e20 % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (741), (1325) imply: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1326) all_14_3 = e20 % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (580), (1326) imply: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1327) all_26_12 = e20 % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (168), (1326) imply: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1328) ~ (all_14_1 = e20) % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (164), (1326) imply: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1329) ~ (all_14_2 = e20) % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (160), (1326) imply: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1330) ~ (all_14_7 = e20) % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1330) implies: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1331) ~ (all_14_7 = e20) % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (836), (1326) imply: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1332) ~ (e22 = e20) % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (179), (1326) imply: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1333) op2(e20, e23) = e20 % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1334) all_18_13 = e20 % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (746), (1334) imply: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1335) all_14_7 = e20 % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1331), (1335) imply: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1336) $false % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1336) is inconsistent. % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1337) ~ (all_18_13 = e20) % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1338) all_18_13 = e23 | all_18_13 = e22 | all_18_13 = % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21 % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1338) gives: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1339) all_18_13 = e22 % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (746), (1339) imply: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1340) all_14_7 = e22 % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (847), (1340) imply: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1341) $false % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1341) is inconsistent. % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1342) ~ (all_18_13 = e22) % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1343) all_18_13 = e23 | all_18_13 = e21 % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1343) gives: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1344) all_18_13 = e21 % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (746), (1344) imply: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1345) all_14_7 = e21 % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (848), (1345) imply: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1346) $false % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1346) is inconsistent. % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1347) all_18_13 = e23 % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (746), (1347) imply: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1348) all_14_7 = e23 % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (698), (1348) imply: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1349) all_22_5 = e23 % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (577), (1348) imply: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1350) all_26_13 = e23 % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (155), (1348) imply: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1351) ~ (all_14_4 = e23) % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (1348) imply: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1352) ~ (all_14_6 = e23) % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (842), (1348) imply: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1353) ~ (all_6_2 = e23) % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (178), (1348) imply: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1354) op2(e20, e22) = e23 % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1355) all_18_6 = e20 % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (748), (1355) imply: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1356) all_14_9 = e20 % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1356) implies: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1357) all_14_9 = e20 % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (683), (1357) imply: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1358) all_22_7 = e20 % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (600), (1357) imply: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1359) all_26_5 = e20 % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (844), (1357) imply: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1360) ~ (all_6_2 = e20) % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1360) implies: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1361) ~ (all_6_2 = e20) % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (853), (1357) imply: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1362) ~ (e23 = e20) % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (185), (1357) imply: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1363) op2(e22, e21) = e20 % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (350) gives: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1364) all_26_1 = e20 % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (616), (1364) imply: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1365) all_14_4 = e20 % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1365) implies: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1366) all_14_4 = e20 % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (674), (1366) imply: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1367) all_22_3 = e20 % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (156), (1366) imply: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1368) ~ (all_14_6 = e20) % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (154), (1366) imply: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1369) ~ (all_14_8 = e20) % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1369) implies: % 59.08/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1370) ~ (all_14_8 = e20) % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (828), (1366) imply: % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1371) ~ (all_8_2 = e20) % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1371) implies: % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1372) ~ (all_8_2 = e20) % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (190), (1366) imply: % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1373) op2(e23, e22) = e20 % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives: % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1374) all_18_10 = e20 % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (762), (1374) imply: % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1375) all_4_2 = e20 % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1308), (1375) imply: % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1376) $false % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1376) is inconsistent. % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1377) all_18_10 = e23 | all_18_10 = e22 | all_18_10 = % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21 % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (247) gives: % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1378) all_18_2 = e20 % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (747), (1378) imply: % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1379) all_14_8 = e20 % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1370), (1379) imply: % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1380) $false % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1380) is inconsistent. % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1381) ~ (all_18_2 = e20) % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1382) all_18_2 = e23 | all_18_2 = e22 | all_18_2 = e21 % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (249) gives: % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1383) all_18_0 = e20 % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (754), (1372), (1383) are inconsistent by % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #168. % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1384) ~ (all_18_0 = e20) % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1385) all_18_0 = e23 | all_18_0 = e22 | all_18_0 = e21 % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives: % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1386) all_18_9 = e20 % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (744), (1386) imply: % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1387) all_14_6 = e20 % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1305), (1387) imply: % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1388) $false % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1388) is inconsistent. % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1389) ~ (all_18_9 = e20) % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1390) all_18_9 = e23 | all_18_9 = e22 | all_18_9 = e21 % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (286) gives: % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1391) (all_22_10 = e23 & ( ~ (all_22_12 = e23) | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_0 = e22) & ( ~ (all_22_14 = e23) | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_1 = e21) & ( ~ (all_22_15 = e23) | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_2 = e20)) | (all_22_12 = e22 & ( ~ % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e22) | all_22_3 = e23) & ( ~ % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e22) | all_22_4 = e21) & ( ~ % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e22) | all_22_5 = e20)) % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1391) gives: % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1392) all_22_10 = e23 & ( ~ (all_22_12 = e23) | all_22_0 % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22) & ( ~ (all_22_14 = e23) | all_22_1 = e21) % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ( ~ (all_22_15 = e23) | all_22_2 = e20) % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1392) implies: % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1393) all_22_10 = e23 % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1394) ~ (all_22_14 = e23) | all_22_1 = e21 % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (673), (1393) imply: % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1395) all_8_2 = e23 % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1395) implies: % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1396) all_8_2 = e23 % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (620), (1396) imply: % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1397) all_26_0 = e23 % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10), (11), (287), (350), (356), (568), % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (585), (590), (604), (613), (679), (681), (685), % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (693), (701), (762), (835), (845), (849), (850), % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (854), (857), (862), (1302), (1305), (1318), % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1319), (1329), (1349), (1350), (1358), (1361), % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1367), (1377), (1393), (1394), (1397) are % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #144. % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1398) all_22_12 = e22 & ( ~ (all_22_10 = e22) | all_22_3 % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ( ~ (all_22_14 = e22) | all_22_4 = e21) % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ( ~ (all_22_15 = e22) | all_22_5 = e20) % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1398) implies: % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1399) all_22_12 = e22 % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1400) ~ (all_22_10 = e22) | all_22_3 = e23 % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (679), (1399) imply: % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1401) all_6_2 = e22 % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (604), (1401) imply: % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1402) all_26_3 = e22 % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (833), (1401) imply: % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1403) ~ (all_14_1 = e22) % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (840), (1401) imply: % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1404) ~ (all_14_6 = e22) % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (845), (1401) imply: % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1405) ~ (e23 = e22) % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (947), (1401) imply: % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1406) op2(e22, e22) = all_28_56 % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (948), (1401) imply: % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1407) op2(e22, e22) = all_28_58 % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (42), (1401) imply: % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1408) op2(e22, e22) = all_6_1 % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (41), (1401) imply: % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1409) op2(e22, e22) = e22 % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1390) gives: % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1410) all_18_9 = e22 % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (744), (1410) imply: % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1411) all_14_6 = e22 % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1404), (1411) imply: % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1412) $false % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1412) is inconsistent. % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1413) all_18_9 = e23 | all_18_9 = e21 % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1413) gives: % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1414) all_18_9 = e21 % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (744), (1414) imply: % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1415) all_14_6 = e21 % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1352), (1415) imply: % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1416) ~ (e23 = e21) % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (182), (1415) imply: % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1417) op2(e21, e22) = e21 % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (346) gives: % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1418) all_26_4 = e21 % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (613), (1418) imply: % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1419) all_14_8 = e21 % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1419) implies: % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1420) all_14_8 = e21 % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (681), (1420) imply: % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1421) all_22_6 = e21 % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (830), (1420) imply: % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1422) ~ (all_8_2 = e21) % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1422) implies: % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1423) ~ (all_8_2 = e21) % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (850), (1420) imply: % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1424) ~ (e22 = e21) % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (189), (1420) imply: % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1425) op2(e23, e21) = e21 % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (360) gives: % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1426) all_26_0 = e23 % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (620), (1426) imply: % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1427) all_8_2 = e23 % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1427) implies: % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1428) all_8_2 = e23 % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (673), (1428) imply: % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1429) all_22_10 = e23 % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (824), (1428) imply: % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1430) ~ (all_14_2 = e23) % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (939), (1428) imply: % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1431) op2(e23, e23) = all_28_20 % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (940), (1428) imply: % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1432) op2(e23, e23) = all_28_22 % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (49), (1428) imply: % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1433) op2(e23, e23) = all_8_1 % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (48), (1428) imply: % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1434) op2(e23, e23) = e23 % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (348) gives: % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1435) all_26_2 = e21 % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (607), (1435) imply: % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1436) all_14_1 = e21 % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1436) implies: % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1437) all_14_1 = e21 % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (677), (1437) imply: % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1438) all_22_0 = e21 % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (169), (1437) imply: % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1439) ~ (all_14_2 = e21) % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1439) implies: % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1440) ~ (all_14_2 = e21) % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (187), (1437) imply: % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1441) op2(e22, e23) = e21 % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (343) gives: % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1442) all_26_6 = e22 % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (593), (1442) imply: % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1443) all_14_2 = e22 % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1443) implies: % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1444) all_14_2 = e22 % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (685), (1444) imply: % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1445) all_22_1 = e22 % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (183), (1444) imply: % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1446) op2(e21, e23) = e22 % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (287) gives: % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1447) (all_22_0 = e22 & all_22_14 = e23 & ~ (all_22_1 = % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_12 = e23)) | (all_22_0 = e22 % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_15 = e23 & ~ (all_22_2 = e20) & ~ % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e23)) | (all_22_1 = e21 & all_22_12 % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23 & ~ (all_22_0 = e22) & ~ (all_22_14 = % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23)) | (all_22_1 = e21 & all_22_15 = e23 & ~ % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_2 = e20) & ~ (all_22_14 = e23)) | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_2 = e20 & all_22_12 = e23 & ~ (all_22_0 = % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_15 = e23)) | (all_22_2 = e20 % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_14 = e23 & ~ (all_22_1 = e21) & ~ % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e23)) | (all_22_3 = e23 & all_22_14 % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22 & ~ (all_22_4 = e21) & ~ (all_22_10 = % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22)) | (all_22_3 = e23 & all_22_15 = e22 & ~ % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_5 = e20) & ~ (all_22_10 = e22)) | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_4 = e21 & all_22_10 = e22 & ~ (all_22_3 = % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_14 = e22)) | (all_22_4 = e21 % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_15 = e22 & ~ (all_22_5 = e20) & ~ % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e22)) | (all_22_5 = e20 & all_22_10 % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22 & ~ (all_22_3 = e23) & ~ (all_22_15 = % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22)) | (all_22_5 = e20 & all_22_14 = e22 & ~ % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_4 = e21) & ~ (all_22_15 = e22)) % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1447) gives: % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1448) (all_22_0 = e22 & all_22_14 = e23 & ~ (all_22_1 = % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_12 = e23)) | (all_22_0 = e22 % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_15 = e23 & ~ (all_22_2 = e20) & ~ % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e23)) | (all_22_1 = e21 & all_22_12 % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23 & ~ (all_22_0 = e22) & ~ (all_22_14 = % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23)) | (all_22_1 = e21 & all_22_15 = e23 & ~ % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_2 = e20) & ~ (all_22_14 = e23)) | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_2 = e20 & all_22_12 = e23 & ~ (all_22_0 = % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_15 = e23)) | (all_22_2 = e20 % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_14 = e23 & ~ (all_22_1 = e21) & ~ % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e23)) % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1448) gives: % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1449) (all_22_0 = e22 & all_22_14 = e23 & ~ (all_22_1 = % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_12 = e23)) | (all_22_0 = e22 % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_15 = e23 & ~ (all_22_2 = e20) & ~ % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e23)) | (all_22_1 = e21 & all_22_12 % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23 & ~ (all_22_0 = e22) & ~ (all_22_14 = % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23)) % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1449) gives: % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1450) all_22_0 = e22 & all_22_14 = e23 & ~ (all_22_1 = % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_12 = e23) % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1450) implies: % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1451) all_22_14 = e23 % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1452) all_22_0 = e22 % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1438), (1452) imply: % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1453) e22 = e21 % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (585), (1451) imply: % 59.08/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1454) all_4_2 = e23 % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1445), (1453) imply: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1455) all_22_1 = e21 % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10), (12), (287), (568), (679), (693), % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (701), (845), (857), (862), (1302), (1318), % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1349), (1358), (1367), (1421), (1429), (1451), % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1455) are inconsistent by sub-proof #145. % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1456) (all_22_0 = e22 & all_22_15 = e23 & ~ (all_22_2 = % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_12 = e23)) | (all_22_1 = e21 % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_12 = e23 & ~ (all_22_0 = e22) & ~ % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e23)) % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1456) gives: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1457) all_22_0 = e22 & all_22_15 = e23 & ~ (all_22_2 = % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_12 = e23) % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1457) implies: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1458) all_22_0 = e22 % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1438), (1458) imply: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1459) e22 = e21 % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (857), (1459) imply: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1460) $false % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1460) is inconsistent. % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1461) all_22_1 = e21 & all_22_12 = e23 & ~ (all_22_0 = % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_14 = e23) % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1461) implies: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1462) all_22_1 = e21 % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (857), (1445), (1462) are inconsistent by % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #143. % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1463) (all_22_1 = e21 & all_22_15 = e23 & ~ (all_22_2 = % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_14 = e23)) | (all_22_2 = e20 % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_12 = e23 & ~ (all_22_0 = e22) & ~ % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e23)) | (all_22_2 = e20 & all_22_14 % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23 & ~ (all_22_1 = e21) & ~ (all_22_15 = % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23)) % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1463) gives: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1464) all_22_1 = e21 & all_22_15 = e23 & ~ (all_22_2 = % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_14 = e23) % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1464) implies: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1465) all_22_1 = e21 % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (857), (1445), (1465) are inconsistent by % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #143. % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1466) (all_22_2 = e20 & all_22_12 = e23 & ~ (all_22_0 = % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_15 = e23)) | (all_22_2 = e20 % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_14 = e23 & ~ (all_22_1 = e21) & ~ % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e23)) % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1466) gives: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1467) all_22_2 = e20 & all_22_12 = e23 & ~ (all_22_0 = % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_15 = e23) % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (1399), (1467) are inconsistent by sub-proof % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #142. % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1468) all_22_2 = e20 & all_22_14 = e23 & ~ (all_22_1 = % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_15 = e23) % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1468) implies: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1469) all_22_14 = e23 % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (585), (1469) imply: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1470) all_4_2 = e23 % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1003), (1470) imply: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1471) all_28_107 = e23 % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (989), (1470) imply: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1472) all_28_105 = e23 % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (626), (1470) imply: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1473) all_28_103 = e23 % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1280), (1470) imply: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1474) all_28_93 = e23 % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1276), (1470) imply: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1475) all_28_81 = e23 % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1266), (1470) imply: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1476) all_28_75 = e23 % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (954), (1470) imply: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1477) op2(all_4_0, e23) = all_28_76 % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (958), (1470) imply: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1478) op2(all_4_1, e23) = all_28_84 % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (960), (1470) imply: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1479) op2(e23, all_4_0) = all_28_88 % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (961), (1470) imply: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1480) op2(e23, all_4_1) = all_28_90 % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (962), (1470) imply: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1481) op2(e23, e23) = all_28_92 % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (963), (1470) imply: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1482) op2(e23, e21) = all_28_94 % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (34), (1470) imply: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1483) op2(e21, e23) = all_4_1 % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with e22, all_4_1, e23, e21, % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1446), (1483) gives: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1484) all_4_1 = e22 % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_6_1, all_28_58, e22, % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22, simplifying with (1407), (1408) gives: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1485) all_28_58 = all_6_1 % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_28_58, all_28_56, e22, % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22, simplifying with (1406), (1407) gives: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1486) all_28_56 = all_28_58 % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with e22, all_28_56, e22, e22, % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1406), (1409) gives: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1487) all_28_56 = e22 % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with e21, all_28_94, e21, e23, % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1425), (1482) gives: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1488) all_28_94 = e21 % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_8_1, all_28_92, e23, % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23, simplifying with (1433), (1481) gives: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1489) all_28_92 = all_8_1 % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_28_92, all_28_22, e23, % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23, simplifying with (1432), (1481) gives: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1490) all_28_22 = all_28_92 % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_28_22, all_28_20, e23, % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23, simplifying with (1431), (1432) gives: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1491) all_28_20 = all_28_22 % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with e23, all_28_20, e23, e23, % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1431), (1434) gives: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1492) all_28_20 = e23 % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1491), (1492) imply: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1493) all_28_22 = e23 % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1493) implies: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1494) all_28_22 = e23 % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1490), (1494) imply: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1495) all_28_92 = e23 % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1495) implies: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1496) all_28_92 = e23 % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1486), (1487) imply: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1497) all_28_58 = e22 % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1497) implies: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1498) all_28_58 = e22 % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1485), (1498) imply: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1499) all_6_1 = e22 % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1489), (1496) imply: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1500) all_8_1 = e23 % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1004), (1484) imply: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1501) all_28_104 = e22 % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (991), (1484) imply: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1502) all_28_102 = e22 % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (627), (1484) imply: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1503) all_28_100 = e22 % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1281), (1484) imply: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1504) all_28_89 = e22 % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1269), (1484) imply: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1505) all_28_83 = e22 % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1078), (1484) imply: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1506) all_28_79 = e22 % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (945), (1499) imply: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1507) op2(e22, e22) = all_28_46 % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (43), (1499) imply: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1508) op2(e22, e22) = all_6_0 % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (953), (1484) imply: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1509) op2(all_4_0, e22) = all_28_74 % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (956), (1484) imply: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1510) op2(e22, all_4_0) = all_28_80 % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (957), (1484) imply: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1511) op2(e22, e22) = all_28_82 % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1478), (1484) imply: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1512) op2(e22, e23) = all_28_84 % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (35), (1484) imply: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1513) op2(e22, e21) = all_4_0 % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1480), (1484) imply: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1514) op2(e23, e22) = all_28_90 % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (949), (1499) imply: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1515) op2(e22, e22) = all_28_63 % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (965), (1484) imply: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1516) op2(e21, e22) = all_28_99 % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with e21, all_28_99, e22, e21, % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1417), (1516) gives: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1517) all_28_99 = e21 % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with e20, all_4_0, e21, e22, % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1363), (1513) gives: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1518) all_4_0 = e20 % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with e22, all_28_63, e22, e22, % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1409), (1515) gives: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1519) all_28_63 = e22 % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_28_82, all_28_63, e22, % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22, simplifying with (1511), (1515) gives: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1520) all_28_63 = all_28_82 % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_28_63, all_28_46, e22, % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22, simplifying with (1507), (1515) gives: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1521) all_28_46 = all_28_63 % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_6_0, all_28_46, e22, % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22, simplifying with (1507), (1508) gives: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1522) all_28_46 = all_6_0 % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with e21, all_28_84, e23, e22, % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1441), (1512) gives: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1523) all_28_84 = e21 % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with e20, all_28_90, e22, e23, % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1373), (1514) gives: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1524) all_28_90 = e20 % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1521), (1522) imply: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1525) all_28_63 = all_6_0 % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1525) implies: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1526) all_28_63 = all_6_0 % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1519), (1520) imply: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1527) all_28_82 = e22 % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1520), (1526) imply: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1528) all_28_82 = all_6_0 % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1527), (1528) imply: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1529) all_6_0 = e22 % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1285), (1518) imply: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1530) all_28_98 = e20 % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (628), (1518) imply: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1531) all_28_97 = e20 % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1279), (1518) imply: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1532) all_28_91 = e20 % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1005), (1518) imply: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1533) all_28_87 = e20 % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (996), (1518) imply: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1534) all_28_86 = e20 % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1272), (1518) imply: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1535) all_28_77 = e20 % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (952), (1518) imply: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1536) op2(e20, e20) = all_28_72 % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1477), (1518) imply: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1537) op2(e20, e23) = all_28_76 % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1509), (1518) imply: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1538) op2(e20, e22) = all_28_74 % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (955), (1518) imply: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1539) op2(e20, e21) = all_28_78 % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1479), (1518) imply: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1540) op2(e23, e20) = all_28_88 % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1510), (1518) imply: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1541) op2(e22, e20) = all_28_80 % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (964), (1518) imply: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1542) op2(e21, e20) = all_28_96 % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with e21, all_28_72, e20, e20, % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (18), (1536) gives: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1543) all_28_72 = e21 % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with e22, all_28_78, e21, e20, % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (19), (1539) gives: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1544) all_28_78 = e22 % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with e23, all_28_74, e22, e20, % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1354), (1538) gives: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1545) all_28_74 = e23 % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with e20, all_28_76, e23, e20, % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1333), (1537) gives: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1546) all_28_76 = e20 % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with e20, all_28_96, e20, e21, % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1310), (1542) gives: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1547) all_28_96 = e20 % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with e23, all_28_80, e20, e22, % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (20), (1541) gives: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1548) all_28_80 = e23 % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with e22, all_28_88, e20, e23, % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1324), (1540) gives: % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1549) all_28_88 = e22 % 59.08/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (497) gives: % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1550) ~ (all_28_72 = all_28_73) % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1263), (1543), (1550) imply: % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1551) $false % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1551) is inconsistent. % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1552) ~ (all_28_74 = all_28_75) | ~ (all_28_76 = % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_77) | ~ (all_28_78 = all_28_79) | ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_80 = all_28_81) | ~ (all_28_82 = % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_83) | ~ (all_28_84 = all_28_85) | ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_86 = all_28_87) | ~ (all_28_88 = % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_89) | ~ (all_28_90 = all_28_91) | ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_92 = all_28_93) | ~ (all_28_94 = % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_95) | ~ (all_28_96 = all_28_98) | ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_99 = all_28_101) | ~ (all_28_102 = % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_104) | ~ (all_28_105 = all_28_107) | ( ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_97 = e23) & ~ (all_28_100 = e23) & ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e23) & ~ (all_28_106 = e23)) | ( % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_97 = e22) & ~ (all_28_100 = e22) & ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e22) & ~ (all_28_106 = e22)) | ( % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_97 = e21) & ~ (all_28_100 = e21) & ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e21) & ~ (all_28_106 = e21)) | ( % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_97 = e20) & ~ (all_28_100 = e20) & ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e20) & ~ (all_28_106 = e20)) % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1552) gives: % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1553) ~ (all_28_74 = all_28_75) % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1476), (1545), (1553) imply: % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1554) $false % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1554) is inconsistent. % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1555) ~ (all_28_76 = all_28_77) | ~ (all_28_78 = % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_79) | ~ (all_28_80 = all_28_81) | ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_82 = all_28_83) | ~ (all_28_84 = % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_85) | ~ (all_28_86 = all_28_87) | ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_88 = all_28_89) | ~ (all_28_90 = % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_91) | ~ (all_28_92 = all_28_93) | ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_94 = all_28_95) | ~ (all_28_96 = % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_98) | ~ (all_28_99 = all_28_101) | ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_102 = all_28_104) | ~ (all_28_105 = % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_107) | ( ~ (all_28_97 = e23) & ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_100 = e23) & ~ (all_28_103 = e23) & ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_106 = e23)) | ( ~ (all_28_97 = e22) & ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_100 = e22) & ~ (all_28_103 = e22) & ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_106 = e22)) | ( ~ (all_28_97 = e21) & ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_100 = e21) & ~ (all_28_103 = e21) & ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_106 = e21)) | ( ~ (all_28_97 = e20) & ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_100 = e20) & ~ (all_28_103 = e20) & ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_106 = e20)) % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1555) gives: % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1556) ~ (all_28_76 = all_28_77) % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1535), (1546), (1556) imply: % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1557) $false % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1557) is inconsistent. % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1558) ~ (all_28_78 = all_28_79) | ~ (all_28_80 = % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_81) | ~ (all_28_82 = all_28_83) | ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_84 = all_28_85) | ~ (all_28_86 = % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_87) | ~ (all_28_88 = all_28_89) | ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_90 = all_28_91) | ~ (all_28_92 = % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_93) | ~ (all_28_94 = all_28_95) | ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_96 = all_28_98) | ~ (all_28_99 = % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_101) | ~ (all_28_102 = all_28_104) | ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_105 = all_28_107) | ( ~ (all_28_97 = e23) % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_100 = e23) & ~ (all_28_103 = e23) % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_106 = e23)) | ( ~ (all_28_97 = e22) % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_100 = e22) & ~ (all_28_103 = e22) % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_106 = e22)) | ( ~ (all_28_97 = e21) % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_100 = e21) & ~ (all_28_103 = e21) % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_106 = e21)) | ( ~ (all_28_97 = e20) % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_100 = e20) & ~ (all_28_103 = e20) % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_106 = e20)) % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1558) gives: % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1559) ~ (all_28_78 = all_28_79) % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1506), (1544), (1559) imply: % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1560) $false % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1560) is inconsistent. % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1561) ~ (all_28_80 = all_28_81) | ~ (all_28_82 = % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_83) | ~ (all_28_84 = all_28_85) | ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_86 = all_28_87) | ~ (all_28_88 = % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_89) | ~ (all_28_90 = all_28_91) | ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_92 = all_28_93) | ~ (all_28_94 = % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_95) | ~ (all_28_96 = all_28_98) | ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_99 = all_28_101) | ~ (all_28_102 = % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_104) | ~ (all_28_105 = all_28_107) | ( ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_97 = e23) & ~ (all_28_100 = e23) & ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e23) & ~ (all_28_106 = e23)) | ( % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_97 = e22) & ~ (all_28_100 = e22) & ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e22) & ~ (all_28_106 = e22)) | ( % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_97 = e21) & ~ (all_28_100 = e21) & ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e21) & ~ (all_28_106 = e21)) | ( % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_97 = e20) & ~ (all_28_100 = e20) & ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e20) & ~ (all_28_106 = e20)) % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1561) gives: % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1562) ~ (all_28_80 = all_28_81) % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1475), (1548), (1562) imply: % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1563) $false % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1563) is inconsistent. % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1564) ~ (all_28_82 = all_28_83) | ~ (all_28_84 = % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_85) | ~ (all_28_86 = all_28_87) | ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_88 = all_28_89) | ~ (all_28_90 = % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_91) | ~ (all_28_92 = all_28_93) | ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_94 = all_28_95) | ~ (all_28_96 = % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_98) | ~ (all_28_99 = all_28_101) | ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_102 = all_28_104) | ~ (all_28_105 = % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_107) | ( ~ (all_28_97 = e23) & ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_100 = e23) & ~ (all_28_103 = e23) & ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_106 = e23)) | ( ~ (all_28_97 = e22) & ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_100 = e22) & ~ (all_28_103 = e22) & ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_106 = e22)) | ( ~ (all_28_97 = e21) & ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_100 = e21) & ~ (all_28_103 = e21) & ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_106 = e21)) | ( ~ (all_28_97 = e20) & ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_100 = e20) & ~ (all_28_103 = e20) & ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_106 = e20)) % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1564) gives: % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1565) ~ (all_28_82 = all_28_83) % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1505), (1527), (1565) imply: % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1566) $false % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1566) is inconsistent. % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1567) ~ (all_28_84 = all_28_85) | ~ (all_28_86 = % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_87) | ~ (all_28_88 = all_28_89) | ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_90 = all_28_91) | ~ (all_28_92 = % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_93) | ~ (all_28_94 = all_28_95) | ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_96 = all_28_98) | ~ (all_28_99 = % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_101) | ~ (all_28_102 = all_28_104) | ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_105 = all_28_107) | ( ~ (all_28_97 = e23) % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_100 = e23) & ~ (all_28_103 = e23) % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_106 = e23)) | ( ~ (all_28_97 = e22) % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_100 = e22) & ~ (all_28_103 = e22) % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_106 = e22)) | ( ~ (all_28_97 = e21) % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_100 = e21) & ~ (all_28_103 = e21) % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_106 = e21)) | ( ~ (all_28_97 = e20) % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_100 = e20) & ~ (all_28_103 = e20) % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_106 = e20)) % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1567) gives: % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1568) ~ (all_28_84 = all_28_85) % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1274), (1523), (1568) imply: % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1569) $false % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1569) is inconsistent. % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1570) ~ (all_28_86 = all_28_87) | ~ (all_28_88 = % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_89) | ~ (all_28_90 = all_28_91) | ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_92 = all_28_93) | ~ (all_28_94 = % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_95) | ~ (all_28_96 = all_28_98) | ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_99 = all_28_101) | ~ (all_28_102 = % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_104) | ~ (all_28_105 = all_28_107) | ( ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_97 = e23) & ~ (all_28_100 = e23) & ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e23) & ~ (all_28_106 = e23)) | ( % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_97 = e22) & ~ (all_28_100 = e22) & ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e22) & ~ (all_28_106 = e22)) | ( % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_97 = e21) & ~ (all_28_100 = e21) & ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e21) & ~ (all_28_106 = e21)) | ( % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_97 = e20) & ~ (all_28_100 = e20) & ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e20) & ~ (all_28_106 = e20)) % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1570) gives: % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1571) ~ (all_28_86 = all_28_87) % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1533), (1534), (1571) imply: % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1572) $false % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1572) is inconsistent. % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1573) ~ (all_28_88 = all_28_89) | ~ (all_28_90 = % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_91) | ~ (all_28_92 = all_28_93) | ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_94 = all_28_95) | ~ (all_28_96 = % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_98) | ~ (all_28_99 = all_28_101) | ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_102 = all_28_104) | ~ (all_28_105 = % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_107) | ( ~ (all_28_97 = e23) & ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_100 = e23) & ~ (all_28_103 = e23) & ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_106 = e23)) | ( ~ (all_28_97 = e22) & ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_100 = e22) & ~ (all_28_103 = e22) & ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_106 = e22)) | ( ~ (all_28_97 = e21) & ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_100 = e21) & ~ (all_28_103 = e21) & ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_106 = e21)) | ( ~ (all_28_97 = e20) & ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_100 = e20) & ~ (all_28_103 = e20) & ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_106 = e20)) % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1573) gives: % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1574) ~ (all_28_88 = all_28_89) % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1504), (1549), (1574) imply: % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1575) $false % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1575) is inconsistent. % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1576) ~ (all_28_90 = all_28_91) | ~ (all_28_92 = % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_93) | ~ (all_28_94 = all_28_95) | ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_96 = all_28_98) | ~ (all_28_99 = % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_101) | ~ (all_28_102 = all_28_104) | ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_105 = all_28_107) | ( ~ (all_28_97 = e23) % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_100 = e23) & ~ (all_28_103 = e23) % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_106 = e23)) | ( ~ (all_28_97 = e22) % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_100 = e22) & ~ (all_28_103 = e22) % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_106 = e22)) | ( ~ (all_28_97 = e21) % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_100 = e21) & ~ (all_28_103 = e21) % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_106 = e21)) | ( ~ (all_28_97 = e20) % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_100 = e20) & ~ (all_28_103 = e20) % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_106 = e20)) % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1576) gives: % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1577) ~ (all_28_90 = all_28_91) % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1524), (1532), (1577) imply: % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1578) $false % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1578) is inconsistent. % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1579) ~ (all_28_92 = all_28_93) | ~ (all_28_94 = % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_95) | ~ (all_28_96 = all_28_98) | ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_99 = all_28_101) | ~ (all_28_102 = % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_104) | ~ (all_28_105 = all_28_107) | ( ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_97 = e23) & ~ (all_28_100 = e23) & ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e23) & ~ (all_28_106 = e23)) | ( % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_97 = e22) & ~ (all_28_100 = e22) & ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e22) & ~ (all_28_106 = e22)) | ( % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_97 = e21) & ~ (all_28_100 = e21) & ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e21) & ~ (all_28_106 = e21)) | ( % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_97 = e20) & ~ (all_28_100 = e20) & ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e20) & ~ (all_28_106 = e20)) % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1579) gives: % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1580) ~ (all_28_92 = all_28_93) % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1474), (1496), (1580) imply: % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1581) $false % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1581) is inconsistent. % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1582) ~ (all_28_94 = all_28_95) | ~ (all_28_96 = % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_98) | ~ (all_28_99 = all_28_101) | ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_102 = all_28_104) | ~ (all_28_105 = % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_107) | ( ~ (all_28_97 = e23) & ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_100 = e23) & ~ (all_28_103 = e23) & ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_106 = e23)) | ( ~ (all_28_97 = e22) & ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_100 = e22) & ~ (all_28_103 = e22) & ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_106 = e22)) | ( ~ (all_28_97 = e21) & ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_100 = e21) & ~ (all_28_103 = e21) & ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_106 = e21)) | ( ~ (all_28_97 = e20) & ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_100 = e20) & ~ (all_28_103 = e20) & ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_106 = e20)) % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1582) gives: % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1583) ~ (all_28_94 = all_28_95) % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1077), (1488), (1583) imply: % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1584) $false % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1584) is inconsistent. % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1585) ~ (all_28_96 = all_28_98) | ~ (all_28_99 = % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_101) | ~ (all_28_102 = all_28_104) | ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_105 = all_28_107) | ( ~ (all_28_97 = e23) % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_100 = e23) & ~ (all_28_103 = e23) % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_106 = e23)) | ( ~ (all_28_97 = e22) % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_100 = e22) & ~ (all_28_103 = e22) % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_106 = e22)) | ( ~ (all_28_97 = e21) % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_100 = e21) & ~ (all_28_103 = e21) % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_106 = e21)) | ( ~ (all_28_97 = e20) % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_100 = e20) & ~ (all_28_103 = e20) % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_106 = e20)) % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1585) gives: % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1586) ~ (all_28_96 = all_28_98) % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1530), (1547), (1586) imply: % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1587) $false % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1587) is inconsistent. % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1588) ~ (all_28_99 = all_28_101) | ~ (all_28_102 = % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_104) | ~ (all_28_105 = all_28_107) | ( ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_97 = e23) & ~ (all_28_100 = e23) & ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e23) & ~ (all_28_106 = e23)) | ( % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_97 = e22) & ~ (all_28_100 = e22) & ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e22) & ~ (all_28_106 = e22)) | ( % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_97 = e21) & ~ (all_28_100 = e21) & ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e21) & ~ (all_28_106 = e21)) | ( % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_97 = e20) & ~ (all_28_100 = e20) & ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e20) & ~ (all_28_106 = e20)) % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1588) gives: % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1589) ~ (all_28_99 = all_28_101) % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1283), (1517), (1589) imply: % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1590) $false % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1590) is inconsistent. % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1591) ~ (all_28_102 = all_28_104) | ~ (all_28_105 = % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_107) | ( ~ (all_28_97 = e23) & ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_100 = e23) & ~ (all_28_103 = e23) & ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_106 = e23)) | ( ~ (all_28_97 = e22) & ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_100 = e22) & ~ (all_28_103 = e22) & ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_106 = e22)) | ( ~ (all_28_97 = e21) & ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_100 = e21) & ~ (all_28_103 = e21) & ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_106 = e21)) | ( ~ (all_28_97 = e20) & ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_100 = e20) & ~ (all_28_103 = e20) & ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_106 = e20)) % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1591) gives: % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1592) ~ (all_28_102 = all_28_104) % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1501), (1502), (1592) imply: % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1593) $false % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1593) is inconsistent. % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1594) ~ (all_28_105 = all_28_107) | ( ~ (all_28_97 = % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_28_100 = e23) & ~ (all_28_103 % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_28_106 = e23)) | ( ~ % 59.08/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_97 = e22) & ~ (all_28_100 = e22) & ~ % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e22) & ~ (all_28_106 = e22)) | ( % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_97 = e21) & ~ (all_28_100 = e21) & ~ % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e21) & ~ (all_28_106 = e21)) | ( % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_97 = e20) & ~ (all_28_100 = e20) & ~ % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e20) & ~ (all_28_106 = e20)) % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1594) gives: % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1595) ~ (all_28_105 = all_28_107) % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1471), (1472), (1595) imply: % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1596) $false % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1596) is inconsistent. % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1597) ( ~ (all_28_97 = e23) & ~ (all_28_100 = e23) & ~ % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e23) & ~ (all_28_106 = e23)) | ( % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_97 = e22) & ~ (all_28_100 = e22) & ~ % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e22) & ~ (all_28_106 = e22)) | ( % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_97 = e21) & ~ (all_28_100 = e21) & ~ % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e21) & ~ (all_28_106 = e21)) | ( % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_97 = e20) & ~ (all_28_100 = e20) & ~ % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e20) & ~ (all_28_106 = e20)) % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1597) gives: % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1598) ( ~ (all_28_97 = e23) & ~ (all_28_100 = e23) & ~ % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e23) & ~ (all_28_106 = e23)) | ( % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_97 = e22) & ~ (all_28_100 = e22) & ~ % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e22) & ~ (all_28_106 = e22)) % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1598) gives: % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1599) ~ (all_28_97 = e23) & ~ (all_28_100 = e23) & ~ % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e23) & ~ (all_28_106 = e23) % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1599) implies: % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1600) ~ (all_28_103 = e23) % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1473), (1600) imply: % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1601) $false % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1601) is inconsistent. % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1602) ~ (all_28_97 = e22) & ~ (all_28_100 = e22) & ~ % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e22) & ~ (all_28_106 = e22) % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1602) implies: % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1603) ~ (all_28_100 = e22) % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1503), (1603) imply: % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1604) $false % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1604) is inconsistent. % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1605) ( ~ (all_28_97 = e21) & ~ (all_28_100 = e21) & ~ % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e21) & ~ (all_28_106 = e21)) | ( % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_97 = e20) & ~ (all_28_100 = e20) & ~ % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e20) & ~ (all_28_106 = e20)) % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1605) gives: % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1606) ~ (all_28_97 = e21) & ~ (all_28_100 = e21) & ~ % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e21) & ~ (all_28_106 = e21) % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1606) implies: % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1607) ~ (all_28_106 = e21) % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (625), (1607) imply: % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1608) $false % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1608) is inconsistent. % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1609) ~ (all_28_97 = e20) & ~ (all_28_100 = e20) & ~ % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_103 = e20) & ~ (all_28_106 = e20) % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1609) implies: % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1610) ~ (all_28_97 = e20) % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1531), (1610) imply: % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1611) $false % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1611) is inconsistent. % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1612) (all_22_3 = e23 & all_22_14 = e22 & ~ (all_22_4 = % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_10 = e22)) | (all_22_3 = e23 % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_15 = e22 & ~ (all_22_5 = e20) & ~ % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e22)) | (all_22_4 = e21 & all_22_10 % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22 & ~ (all_22_3 = e23) & ~ (all_22_14 = % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22)) | (all_22_4 = e21 & all_22_15 = e22 & ~ % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_5 = e20) & ~ (all_22_14 = e22)) | % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_5 = e20 & all_22_10 = e22 & ~ (all_22_3 = % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_15 = e22)) | (all_22_5 = e20 % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_14 = e22 & ~ (all_22_4 = e21) & ~ % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e22)) % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1612) gives: % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1613) (all_22_3 = e23 & all_22_14 = e22 & ~ (all_22_4 = % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_10 = e22)) | (all_22_3 = e23 % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_15 = e22 & ~ (all_22_5 = e20) & ~ % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e22)) | (all_22_4 = e21 & all_22_10 % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22 & ~ (all_22_3 = e23) & ~ (all_22_14 = % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22)) % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1613) gives: % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1614) all_22_3 = e23 & all_22_14 = e22 & ~ (all_22_4 = % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_10 = e22) % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1614) implies: % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1615) all_22_3 = e23 % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1367), (1615) imply: % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1616) e23 = e20 % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1616) implies: % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1617) e23 = e20 % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (1617) imply: % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1618) $false % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1618) is inconsistent. % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1619) (all_22_3 = e23 & all_22_15 = e22 & ~ (all_22_5 = % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_10 = e22)) | (all_22_4 = e21 % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_10 = e22 & ~ (all_22_3 = e23) & ~ % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e22)) % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (568), (857), (1429), (1619) are % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #139. % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1620) (all_22_4 = e21 & all_22_15 = e22 & ~ (all_22_5 = % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_14 = e22)) | (all_22_5 = e20 % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_10 = e22 & ~ (all_22_3 = e23) & ~ % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e22)) | (all_22_5 = e20 & all_22_14 % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22 & ~ (all_22_4 = e21) & ~ (all_22_15 = % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22)) % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1620) gives: % 59.08/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.08/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1621) all_22_4 = e21 & all_22_15 = e22 & ~ (all_22_5 = % 59.08/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_14 = e22) % 59.08/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (568), (857), (1621) are inconsistent by sub-proof % 59.08/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #156. % 59.08/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.08/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1622) (all_22_5 = e20 & all_22_10 = e22 & ~ (all_22_3 = % 59.08/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_15 = e22)) | (all_22_5 = e20 % 59.08/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_14 = e22 & ~ (all_22_4 = e21) & ~ % 59.08/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e22)) % 59.08/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (11), (1349), (1429), (1622) are % 59.08/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #137. % 59.08/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.08/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.08/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.08/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.08/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1623) (all_22_6 = e23 & all_22_12 = e21 & ~ (all_22_7 = % 59.08/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_10 = e21)) | (all_22_6 = e23 % 59.08/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_15 = e21 & ~ (all_22_8 = e20) & ~ % 59.08/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e21)) | (all_22_7 = e22 & all_22_10 % 59.08/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21 & ~ (all_22_6 = e23) & ~ (all_22_12 = % 59.08/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21)) | (all_22_7 = e22 & all_22_15 = e21 & ~ % 59.08/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_8 = e20) & ~ (all_22_12 = e21)) | % 59.08/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_8 = e20 & all_22_10 = e21 & ~ (all_22_6 = % 59.08/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_15 = e21)) | (all_22_8 = e20 % 59.08/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_12 = e21 & ~ (all_22_7 = e22) & ~ % 59.08/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e21)) | (all_22_9 = e23 & all_22_12 % 59.08/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20 & ~ (all_22_10 = e20) & ~ (all_22_11 = % 59.08/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22)) | (all_22_9 = e23 & all_22_14 = e20 & ~ % 59.08/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e20) & ~ (all_22_13 = e21)) | % 59.08/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e20 & all_22_11 = e22 & ~ (all_22_9 % 59.08/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_22_12 = e20)) | (all_22_10 = % 59.08/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 & all_22_13 = e21 & ~ (all_22_9 = e23) & ~ % 59.08/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e20)) | (all_22_11 = e22 & % 59.08/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_14 = e20 & ~ (all_22_12 = e20) & ~ % 59.08/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_13 = e21)) | (all_22_12 = e20 & % 59.08/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_13 = e21 & ~ (all_22_11 = e22) & ~ % 59.08/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e20)) % 59.08/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1623) gives: % 59.08/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.08/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1624) (all_22_6 = e23 & all_22_12 = e21 & ~ (all_22_7 = % 59.08/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_10 = e21)) | (all_22_6 = e23 % 59.08/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_15 = e21 & ~ (all_22_8 = e20) & ~ % 59.08/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e21)) | (all_22_7 = e22 & all_22_10 % 59.08/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21 & ~ (all_22_6 = e23) & ~ (all_22_12 = % 59.08/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21)) | (all_22_7 = e22 & all_22_15 = e21 & ~ % 59.08/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_8 = e20) & ~ (all_22_12 = e21)) | % 59.08/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_8 = e20 & all_22_10 = e21 & ~ (all_22_6 = % 59.08/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_15 = e21)) | (all_22_8 = e20 % 59.08/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_12 = e21 & ~ (all_22_7 = e22) & ~ % 59.08/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e21)) % 59.08/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1624) gives: % 59.08/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.08/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1625) (all_22_6 = e23 & all_22_12 = e21 & ~ (all_22_7 = % 59.08/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_10 = e21)) | (all_22_6 = e23 % 59.08/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_15 = e21 & ~ (all_22_8 = e20) & ~ % 59.08/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e21)) | (all_22_7 = e22 & all_22_10 % 59.08/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21 & ~ (all_22_6 = e23) & ~ (all_22_12 = % 59.08/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21)) % 59.08/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1625) gives: % 59.08/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.08/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.08/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1626) all_22_6 = e23 & all_22_12 = e21 & ~ (all_22_7 = % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_10 = e21) % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (857), (1399), (1626) are inconsistent by % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #136. % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1627) (all_22_6 = e23 & all_22_15 = e21 & ~ (all_22_8 = % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_10 = e21)) | (all_22_7 = e22 % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_10 = e21 & ~ (all_22_6 = e23) & ~ % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e21)) % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1627) gives: % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1628) all_22_6 = e23 & all_22_15 = e21 & ~ (all_22_8 = % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_10 = e21) % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1628) implies: % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1629) all_22_6 = e23 % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1421), (1629) imply: % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1630) e23 = e21 % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1630) implies: % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1631) e23 = e21 % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (862), (1631) imply: % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1632) $false % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1632) is inconsistent. % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1633) all_22_7 = e22 & all_22_10 = e21 & ~ (all_22_6 = % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_12 = e21) % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1633) implies: % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1634) all_22_7 = e22 % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (1358), (1634) are inconsistent by sub-proof % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #152. % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1635) (all_22_7 = e22 & all_22_15 = e21 & ~ (all_22_8 = % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_12 = e21)) | (all_22_8 = e20 % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_10 = e21 & ~ (all_22_6 = e23) & ~ % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e21)) | (all_22_8 = e20 & all_22_12 % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21 & ~ (all_22_7 = e22) & ~ (all_22_15 = % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21)) % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1635) gives: % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1636) all_22_7 = e22 & all_22_15 = e21 & ~ (all_22_8 = % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_12 = e21) % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1636) implies: % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1637) all_22_7 = e22 % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (1358), (1637) are inconsistent by sub-proof % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #152. % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1638) (all_22_8 = e20 & all_22_10 = e21 & ~ (all_22_6 = % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_15 = e21)) | (all_22_8 = e20 % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_12 = e21 & ~ (all_22_7 = e22) & ~ % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e21)) % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10), (701), (1399), (1638) are inconsistent % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #133. % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1639) (all_22_9 = e23 & all_22_12 = e20 & ~ (all_22_10 % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_22_11 = e22)) | (all_22_9 = % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23 & all_22_14 = e20 & ~ (all_22_10 = e20) & % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_22_13 = e21)) | (all_22_10 = e20 & % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_11 = e22 & ~ (all_22_9 = e23) & ~ % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e20)) | (all_22_10 = e20 & % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_13 = e21 & ~ (all_22_9 = e23) & ~ % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e20)) | (all_22_11 = e22 & % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_14 = e20 & ~ (all_22_12 = e20) & ~ % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_13 = e21)) | (all_22_12 = e20 & % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_13 = e21 & ~ (all_22_11 = e22) & ~ % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e20)) % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1639) gives: % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1640) (all_22_9 = e23 & all_22_12 = e20 & ~ (all_22_10 % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_22_11 = e22)) | (all_22_9 = % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23 & all_22_14 = e20 & ~ (all_22_10 = e20) & % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_22_13 = e21)) | (all_22_10 = e20 & % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_11 = e22 & ~ (all_22_9 = e23) & ~ % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e20)) % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1640) gives: % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1641) all_22_9 = e23 & all_22_12 = e20 & ~ (all_22_10 = % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_11 = e22) % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (1399), (1641) are inconsistent by sub-proof % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #132. % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1642) (all_22_9 = e23 & all_22_14 = e20 & ~ (all_22_10 % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_22_13 = e21)) | (all_22_10 = % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 & all_22_11 = e22 & ~ (all_22_9 = e23) & ~ % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e20)) % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1642) gives: % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1643) all_22_9 = e23 & all_22_14 = e20 & ~ (all_22_10 = % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_13 = e21) % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (1318), (1643) are inconsistent by sub-proof % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #131. % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1644) all_22_10 = e20 & all_22_11 = e22 & ~ (all_22_9 = % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_12 = e20) % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (693), (1429), (1644) are inconsistent by % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #130. % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1645) (all_22_10 = e20 & all_22_13 = e21 & ~ (all_22_9 % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_22_14 = e20)) | (all_22_11 = % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22 & all_22_14 = e20 & ~ (all_22_12 = e20) & % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_22_13 = e21)) | (all_22_12 = e20 & % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_13 = e21 & ~ (all_22_11 = e22) & ~ % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e20)) % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (12), (693), (1302), (1645) are inconsistent % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #126. % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1646) ~ (all_26_6 = e22) % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (593), (1646) imply: % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1647) ~ (all_14_2 = e22) % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (12), (357), (593), (857), (1327), (1426), % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1435), (1647) are inconsistent by sub-proof #124. % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1648) all_26_3 = e21 | all_26_5 = e21 | all_26_10 = e21 % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (597), (857), (862), (1359), (1402), (1648) % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #122. % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1649) ~ (all_26_0 = e23) % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (620), (1649) imply: % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1650) ~ (all_8_2 = e23) % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (754), (1323), (1385), (1423), (1650) are % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #120. % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1651) ~ (all_26_4 = e21) % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (613), (1651) imply: % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1652) ~ (all_14_8 = e21) % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (356) gives: % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1653) all_26_0 = e21 % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (620), (1653) imply: % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1654) all_8_2 = e21 % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1654) implies: % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1655) all_8_2 = e21 % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (673), (1655) imply: % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1656) all_22_10 = e21 % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (824), (1655) imply: % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1657) ~ (all_14_2 = e21) % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (343) gives: % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1658) all_26_6 = e22 % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (593), (1658) imply: % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1659) all_14_2 = e22 % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1659) implies: % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1660) all_14_2 = e22 % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (685), (1660) imply: % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1661) all_22_1 = e22 % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (360) gives: % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1662) all_26_0 = e23 % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1653), (1662) imply: % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1663) e23 = e21 % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (862), (1663) imply: % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1664) $false % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1664) is inconsistent. % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1665) all_26_1 = e23 | all_26_4 = e23 | all_26_9 = e23 % 59.44/9.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10), (11), (12), (287), (568), (585), (613), % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (693), (701), (849), (850), (857), (1302), (1318), % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1319), (1349), (1358), (1364), (1367), (1370), % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1399), (1652), (1656), (1661), (1665) are % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #110. % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1666) ~ (all_26_6 = e22) % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (593), (1666) imply: % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1667) ~ (all_14_2 = e22) % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (357), (593), (607), (620), (673), (674), % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1327), (1351), (1400), (1403), (1667) are % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #106. % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1668) ~ (all_26_0 = e21) % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (620), (1668) imply: % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1669) ~ (all_8_2 = e21) % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (359), (620), (747), (754), (830), (850), (1323), % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1382), (1385), (1652), (1669) are inconsistent by % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #105. % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1670) all_18_9 = e23 % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (744), (1670) imply: % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1671) all_14_6 = e23 % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1352), (1671) imply: % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1672) $false % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1672) is inconsistent. % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1673) (all_22_14 = e21 & ( ~ (all_22_10 = e21) | % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_6 = e23) & ( ~ (all_22_12 = e21) | % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_7 = e22) & ( ~ (all_22_15 = e21) | % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_8 = e20)) | (all_22_15 = e20 & ( ~ % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e20) | all_22_9 = e23) & ( ~ % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e20) | all_22_11 = e22) & ( ~ % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e20) | all_22_13 = e21)) % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10), (568), (701), (1673) are inconsistent % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #103. % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1674) all_26_3 = e20 | all_26_7 = e20 | all_26_13 = e20 % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (590), (604), (1305), (1350), (1361), (1674) % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #163. % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1675) ~ (all_18_6 = e20) % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1676) all_18_6 = e23 | all_18_6 = e22 | all_18_6 = e21 % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (748), (1675) imply: % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1677) ~ (all_14_9 = e20) % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (11), (12), (154), (163), (169), (243), % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (248), (287), (344), (345), (347), (350), (352), % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (355), (357), (360), (568), (574), (585), (590), % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (593), (600), (604), (607), (613), (616), (620), % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (673), (674), (677), (679), (681), (683), (685), % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (693), (701), (739), (743), (748), (812), (822), % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (824), (828), (830), (833), (835), (838), (845), % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (849), (850), (852), (853), (854), (1302), (1303), % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1305), (1308), (1318), (1319), (1321), (1327), % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1328), (1329), (1349), (1350), (1351), (1352), % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1676), (1677) are inconsistent by sub-proof #94. % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1678) ~ (all_18_12 = e20) % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1679) all_18_12 = e23 | all_18_12 = e22 | all_18_12 = % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21 % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (741), (1678) imply: % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1680) ~ (all_14_3 = e20) % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1679) gives: % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1681) all_18_12 = e22 % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (741), (1681) imply: % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1682) all_14_3 = e22 % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (836), (1682) imply: % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1683) $false % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1683) is inconsistent. % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1684) all_18_12 = e23 | all_18_12 = e21 % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (339) gives: % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1685) all_26_15 = e20 % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (811), (1685) are inconsistent by sub-proof % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #93. % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1686) (all_26_9 = e20 | all_26_10 = e20 | all_26_11 = % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & (all_26_12 = e20 | all_26_13 = e20 | % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_14 = e20) % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1686) implies: % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1687) all_26_12 = e20 | all_26_13 = e20 | all_26_14 = % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1684) gives: % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1688) all_18_12 = e21 % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (741), (1688) imply: % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1689) all_14_3 = e21 % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (837), (1689) imply: % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1690) $false % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1690) is inconsistent. % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1691) all_18_12 = e23 % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (741), (1691) imply: % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1692) all_14_3 = e23 % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (697), (1692) imply: % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1693) all_22_2 = e23 % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (580), (1692) imply: % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1694) all_26_12 = e23 % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1037), (1692) imply: % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1695) all_28_144 = e23 % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (164), (1692) imply: % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1696) ~ (all_14_2 = e23) % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (160), (1692) imply: % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1697) ~ (all_14_7 = e23) % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1697) implies: % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1698) ~ (all_14_7 = e23) % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (826), (1692) imply: % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1699) ~ (all_8_2 = e23) % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1699) implies: % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1700) ~ (all_8_2 = e23) % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives: % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1701) all_18_13 = e20 % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (746), (1701) imply: % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1702) all_14_7 = e20 % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (577), (1702) imply: % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1703) all_26_13 = e20 % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1021), (1702) imply: % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1704) all_28_148 = e20 % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (842), (1702) imply: % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1705) ~ (all_6_2 = e20) % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1705) implies: % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1706) ~ (all_6_2 = e20) % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1698), (1702) imply: % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1707) ~ (e23 = e20) % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (847), (1702) imply: % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1708) ~ (e22 = e20) % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (286) gives: % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1709) (all_22_10 = e23 & ( ~ (all_22_12 = e23) | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_0 = e22) & ( ~ (all_22_14 = e23) | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_1 = e21) & ( ~ (all_22_15 = e23) | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_2 = e20)) | (all_22_12 = e22 & ( ~ % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e22) | all_22_3 = e23) & ( ~ % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e22) | all_22_4 = e21) & ( ~ % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e22) | all_22_5 = e20)) % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1709) gives: % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1710) all_22_10 = e23 & ( ~ (all_22_12 = e23) | all_22_0 % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22) & ( ~ (all_22_14 = e23) | all_22_1 = e21) % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ( ~ (all_22_15 = e23) | all_22_2 = e20) % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (673), (1700), (1710) are inconsistent by % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #92. % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1711) all_22_12 = e22 & ( ~ (all_22_10 = e22) | all_22_3 % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ( ~ (all_22_14 = e22) | all_22_4 = e21) % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ( ~ (all_22_15 = e22) | all_22_5 = e20) % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1711) implies: % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1712) all_22_12 = e22 % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (679), (1712) imply: % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1713) all_6_2 = e22 % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (604), (1713) imply: % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1714) all_26_3 = e22 % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1025), (1713) imply: % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1715) all_28_123 = e22 % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (833), (1713) imply: % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1716) ~ (all_14_1 = e22) % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (845), (1713) imply: % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1717) ~ (e23 = e22) % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (287) gives: % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1718) (all_22_0 = e22 & all_22_14 = e23 & ~ (all_22_1 = % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_12 = e23)) | (all_22_0 = e22 % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_15 = e23 & ~ (all_22_2 = e20) & ~ % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e23)) | (all_22_1 = e21 & all_22_12 % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23 & ~ (all_22_0 = e22) & ~ (all_22_14 = % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23)) | (all_22_1 = e21 & all_22_15 = e23 & ~ % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_2 = e20) & ~ (all_22_14 = e23)) | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_2 = e20 & all_22_12 = e23 & ~ (all_22_0 = % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_15 = e23)) | (all_22_2 = e20 % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_14 = e23 & ~ (all_22_1 = e21) & ~ % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e23)) | (all_22_3 = e23 & all_22_14 % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22 & ~ (all_22_4 = e21) & ~ (all_22_10 = % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22)) | (all_22_3 = e23 & all_22_15 = e22 & ~ % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_5 = e20) & ~ (all_22_10 = e22)) | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_4 = e21 & all_22_10 = e22 & ~ (all_22_3 = % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_14 = e22)) | (all_22_4 = e21 % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_15 = e22 & ~ (all_22_5 = e20) & ~ % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e22)) | (all_22_5 = e20 & all_22_10 % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22 & ~ (all_22_3 = e23) & ~ (all_22_15 = % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22)) | (all_22_5 = e20 & all_22_14 = e22 & ~ % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_4 = e21) & ~ (all_22_15 = e22)) % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1718) gives: % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1719) (all_22_0 = e22 & all_22_14 = e23 & ~ (all_22_1 = % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_12 = e23)) | (all_22_0 = e22 % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_15 = e23 & ~ (all_22_2 = e20) & ~ % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e23)) | (all_22_1 = e21 & all_22_12 % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23 & ~ (all_22_0 = e22) & ~ (all_22_14 = % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23)) | (all_22_1 = e21 & all_22_15 = e23 & ~ % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_2 = e20) & ~ (all_22_14 = e23)) | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_2 = e20 & all_22_12 = e23 & ~ (all_22_0 = % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_15 = e23)) | (all_22_2 = e20 % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_14 = e23 & ~ (all_22_1 = e21) & ~ % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e23)) % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1719) gives: % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1720) (all_22_0 = e22 & all_22_14 = e23 & ~ (all_22_1 = % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_12 = e23)) | (all_22_0 = e22 % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_15 = e23 & ~ (all_22_2 = e20) & ~ % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e23)) | (all_22_1 = e21 & all_22_12 % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23 & ~ (all_22_0 = e22) & ~ (all_22_14 = % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23)) % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1720) gives: % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1721) all_22_0 = e22 & all_22_14 = e23 & ~ (all_22_1 = % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_12 = e23) % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1721) implies: % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1722) all_22_0 = e22 % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (677), (1722) imply: % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1723) all_14_1 = e22 % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1716), (1723) imply: % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1724) $false % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1724) is inconsistent. % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1725) (all_22_0 = e22 & all_22_15 = e23 & ~ (all_22_2 = % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_12 = e23)) | (all_22_1 = e21 % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_12 = e23 & ~ (all_22_0 = e22) & ~ % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e23)) % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1725) gives: % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1726) all_22_0 = e22 & all_22_15 = e23 & ~ (all_22_2 = % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_12 = e23) % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (568), (862), (1726) are inconsistent by sub-proof % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #161. % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1727) all_22_1 = e21 & all_22_12 = e23 & ~ (all_22_0 = % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_14 = e23) % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1727) implies: % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1728) all_22_12 = e23 % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (1712), (1728) are inconsistent by sub-proof % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #117. % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1729) (all_22_1 = e21 & all_22_15 = e23 & ~ (all_22_2 = % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_14 = e23)) | (all_22_2 = e20 % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_12 = e23 & ~ (all_22_0 = e22) & ~ % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e23)) | (all_22_2 = e20 & all_22_14 % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23 & ~ (all_22_1 = e21) & ~ (all_22_15 = % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23)) % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1729) gives: % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1730) all_22_1 = e21 & all_22_15 = e23 & ~ (all_22_2 = % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_14 = e23) % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (568), (862), (1730) are inconsistent by sub-proof % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #159. % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1731) (all_22_2 = e20 & all_22_12 = e23 & ~ (all_22_0 = % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_15 = e23)) | (all_22_2 = e20 % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_14 = e23 & ~ (all_22_1 = e21) & ~ % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e23)) % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1731) gives: % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1732) all_22_2 = e20 & all_22_12 = e23 & ~ (all_22_0 = % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_15 = e23) % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1732) implies: % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1733) all_22_12 = e23 % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1734) all_22_2 = e20 % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1693), (1734) imply: % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1735) e23 = e20 % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1735) implies: % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1736) e23 = e20 % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1712), (1733) imply: % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1737) e23 = e22 % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1737) implies: % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1738) e23 = e22 % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (1736), (1738) are inconsistent by sub-proof % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #158. % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1739) all_22_2 = e20 & all_22_14 = e23 & ~ (all_22_1 = % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_15 = e23) % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (1693), (1739) are inconsistent by sub-proof % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #91. % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1740) (all_22_3 = e23 & all_22_14 = e22 & ~ (all_22_4 = % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_10 = e22)) | (all_22_3 = e23 % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_15 = e22 & ~ (all_22_5 = e20) & ~ % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e22)) | (all_22_4 = e21 & all_22_10 % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22 & ~ (all_22_3 = e23) & ~ (all_22_14 = % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22)) | (all_22_4 = e21 & all_22_15 = e22 & ~ % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_5 = e20) & ~ (all_22_14 = e22)) | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_5 = e20 & all_22_10 = e22 & ~ (all_22_3 = % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_15 = e22)) | (all_22_5 = e20 % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_14 = e22 & ~ (all_22_4 = e21) & ~ % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e22)) % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (568), (585), (673), (854), (857), (1323), (1740) % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #87. % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1741) (all_22_6 = e23 & all_22_12 = e21 & ~ (all_22_7 = % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_10 = e21)) | (all_22_6 = e23 % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_15 = e21 & ~ (all_22_8 = e20) & ~ % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e21)) | (all_22_7 = e22 & all_22_10 % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21 & ~ (all_22_6 = e23) & ~ (all_22_12 = % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21)) | (all_22_7 = e22 & all_22_15 = e21 & ~ % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_8 = e20) & ~ (all_22_12 = e21)) | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_8 = e20 & all_22_10 = e21 & ~ (all_22_6 = % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_15 = e21)) | (all_22_8 = e20 % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_12 = e21 & ~ (all_22_7 = e22) & ~ % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e21)) | (all_22_9 = e23 & all_22_12 % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20 & ~ (all_22_10 = e20) & ~ (all_22_11 = % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22)) | (all_22_9 = e23 & all_22_14 = e20 & ~ % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e20) & ~ (all_22_13 = e21)) | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e20 & all_22_11 = e22 & ~ (all_22_9 % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_22_12 = e20)) | (all_22_10 = % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 & all_22_13 = e21 & ~ (all_22_9 = e23) & ~ % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e20)) | (all_22_11 = e22 & % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_14 = e20 & ~ (all_22_12 = e20) & ~ % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_13 = e21)) | (all_22_12 = e20 & % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_13 = e21 & ~ (all_22_11 = e22) & ~ % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e20)) % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1741) gives: % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1742) (all_22_6 = e23 & all_22_12 = e21 & ~ (all_22_7 = % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_10 = e21)) | (all_22_6 = e23 % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_15 = e21 & ~ (all_22_8 = e20) & ~ % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e21)) | (all_22_7 = e22 & all_22_10 % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21 & ~ (all_22_6 = e23) & ~ (all_22_12 = % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21)) | (all_22_7 = e22 & all_22_15 = e21 & ~ % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_8 = e20) & ~ (all_22_12 = e21)) | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_8 = e20 & all_22_10 = e21 & ~ (all_22_6 = % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_15 = e21)) | (all_22_8 = e20 % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_12 = e21 & ~ (all_22_7 = e22) & ~ % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e21)) % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1742) gives: % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1743) (all_22_6 = e23 & all_22_12 = e21 & ~ (all_22_7 = % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_10 = e21)) | (all_22_6 = e23 % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_15 = e21 & ~ (all_22_8 = e20) & ~ % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e21)) | (all_22_7 = e22 & all_22_10 % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21 & ~ (all_22_6 = e23) & ~ (all_22_12 = % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21)) % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1743) gives: % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1744) all_22_6 = e23 & all_22_12 = e21 & ~ (all_22_7 = % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_10 = e21) % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (857), (1712), (1744) are inconsistent by % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #113. % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1745) (all_22_6 = e23 & all_22_15 = e21 & ~ (all_22_8 = % 59.44/9.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_10 = e21)) | (all_22_7 = e22 % 59.44/9.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_10 = e21 & ~ (all_22_6 = e23) & ~ % 59.44/9.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e21)) % 59.44/9.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1745) gives: % 59.44/9.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1746) all_22_6 = e23 & all_22_15 = e21 & ~ (all_22_8 = % 59.44/9.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_10 = e21) % 59.44/9.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1746) implies: % 59.44/9.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1747) all_22_6 = e23 % 59.44/9.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1748) ~ (all_22_10 = e21) % 59.44/9.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (681), (1747) imply: % 59.44/9.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1749) all_14_8 = e23 % 59.44/9.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (613), (1749) imply: % 59.44/9.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1750) all_26_4 = e23 % 59.44/9.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1041), (1749) imply: % 59.44/9.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1751) all_28_114 = e23 % 59.44/9.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (673), (1748) imply: % 59.44/9.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1752) ~ (all_8_2 = e21) % 59.44/9.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (154), (1749) imply: % 59.44/9.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1753) ~ (all_14_4 = e23) % 59.44/9.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (1749) imply: % 59.44/9.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1754) ~ (all_14_9 = e23) % 59.44/9.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (849), (1749) imply: % 59.44/9.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1755) ~ (all_4_2 = e23) % 59.44/9.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1755) implies: % 59.44/9.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1756) ~ (all_4_2 = e23) % 59.44/9.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (249) gives: % 59.44/9.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1757) all_18_0 = e20 % 59.44/9.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (754), (1757) imply: % 59.44/9.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1758) all_8_2 = e20 % 59.44/9.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1043), (1758) imply: % 59.44/9.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1759) all_28_108 = e20 % 59.44/9.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (822), (1758) imply: % 59.44/9.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1760) ~ (all_14_1 = e20) % 59.44/9.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (824), (1758) imply: % 59.44/9.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1761) ~ (all_14_2 = e20) % 59.44/9.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (828), (1758) imply: % 59.44/9.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1762) ~ (all_14_4 = e20) % 59.44/9.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives: % 59.44/9.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1763) all_18_10 = e20 % 59.44/9.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (762), (1763) imply: % 59.44/9.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1764) all_4_2 = e20 % 59.44/9.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1308), (1764) imply: % 59.44/9.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1765) $false % 59.44/9.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1765) is inconsistent. % 59.44/9.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1766) ~ (all_18_10 = e20) % 59.44/9.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1767) all_18_10 = e23 | all_18_10 = e22 | all_18_10 = % 59.44/9.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21 % 59.44/9.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives: % 59.44/9.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1768) all_18_4 = e20 % 59.44/9.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (738), (1768) imply: % 59.44/9.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1769) all_14_1 = e20 % 59.44/9.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1760), (1769) imply: % 59.44/9.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1770) $false % 59.44/9.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1770) is inconsistent. % 59.44/9.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1771) all_18_4 = e23 | all_18_4 = e22 | all_18_4 = e21 % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1771) gives: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1772) all_18_4 = e22 % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (738), (1772) imply: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1773) all_14_1 = e22 % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1716), (1773) imply: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1774) $false % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1774) is inconsistent. % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1775) all_18_4 = e23 | all_18_4 = e21 % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1775) gives: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1776) all_18_4 = e21 % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (738), (1776) imply: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1777) all_14_1 = e21 % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1039), (1777) imply: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1778) all_28_120 = e21 % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1779) all_18_6 = e20 % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (748), (1779) imply: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1780) all_14_9 = e20 % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1780) implies: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1781) all_14_9 = e20 % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1024), (1781) imply: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1782) all_28_126 = e20 % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1783) all_18_8 = e20 % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (739), (1783) imply: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1784) all_14_2 = e20 % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1761), (1784) imply: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1785) $false % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1785) is inconsistent. % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1786) all_18_8 = e23 | all_18_8 = e22 | all_18_8 = e21 % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1786) gives: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1787) all_18_8 = e22 % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (739), (1787) imply: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1788) all_14_2 = e22 % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1038), (1788) imply: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1789) all_28_132 = e22 % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (835), (1788) imply: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1790) ~ (all_4_2 = e22) % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1767) gives: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1791) all_18_10 = e22 % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (762), (854), (1791) are inconsistent by sub-proof % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #86. % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1792) ~ (all_18_10 = e22) % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1793) all_18_10 = e23 | all_18_10 = e21 % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (353) gives: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1794) all_26_1 = e23 % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (616), (1794) imply: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1795) all_14_4 = e23 % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1795) implies: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1796) all_14_4 = e23 % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1753), (1796) imply: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1797) $false % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1797) is inconsistent. % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1798) all_26_3 = e23 | all_26_7 = e23 | all_26_13 = e23 % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1798) gives: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1799) all_26_3 = e23 % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1714), (1799) imply: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1800) e23 = e22 % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12), (1800) imply: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1801) $false % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1801) is inconsistent. % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1802) all_26_7 = e23 | all_26_13 = e23 % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1793) gives: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1803) all_18_10 = e21 % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (762), (1803) imply: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1804) all_4_2 = e21 % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1804) implies: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1805) all_4_2 = e21 % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1009), (1805) imply: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1806) all_28_138 = e21 % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (846), (1805) imply: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1807) ~ (all_14_6 = e21) % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (854), (1805) imply: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1808) ~ (e22 = e21) % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (351) gives: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1809) all_26_1 = e21 % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (616), (1809) imply: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1810) all_14_4 = e21 % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1810) implies: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1811) all_14_4 = e21 % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1042), (1811) imply: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1812) all_28_111 = e21 % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (496) gives: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1813) ~ (all_28_108 = all_28_109) % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1253), (1759), (1813) imply: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1814) $false % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1814) is inconsistent. % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1815) ~ (all_28_111 = all_28_112) | ~ (all_28_114 = % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_115) | ~ (all_28_117 = all_28_118) | ~ % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_120 = all_28_121) | ~ (all_28_123 = % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_124) | ~ (all_28_126 = all_28_127) | ~ % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_129 = all_28_130) | ~ (all_28_132 = % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_133) | ~ (all_28_135 = all_28_136) | ~ % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_138 = all_28_139) | ~ (all_28_141 = % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_142) | ~ (all_28_144 = all_28_146) | ~ % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_148 = all_28_150) | ~ (all_28_152 = % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_154) | ~ (all_28_156 = all_28_158) | ( ~ % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_145 = e23) & ~ (all_28_149 = e23) & ~ % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_153 = e23) & ~ (all_28_157 = e23)) | ( % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_145 = e22) & ~ (all_28_149 = e22) & % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_153 = e22) & ~ (all_28_157 = e22)) | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_28_145 = e21) & ~ (all_28_149 = e21) & % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_153 = e21) & ~ (all_28_157 = e21)) | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_28_145 = e20) & ~ (all_28_149 = e20) & % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_153 = e20) & ~ (all_28_157 = e20)) % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1815) gives: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1816) ~ (all_28_111 = all_28_112) % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1255), (1812), (1816) imply: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1817) $false % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1817) is inconsistent. % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1818) ~ (all_28_114 = all_28_115) | ~ (all_28_117 = % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_118) | ~ (all_28_120 = all_28_121) | ~ % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_123 = all_28_124) | ~ (all_28_126 = % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_127) | ~ (all_28_129 = all_28_130) | ~ % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_132 = all_28_133) | ~ (all_28_135 = % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_136) | ~ (all_28_138 = all_28_139) | ~ % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_141 = all_28_142) | ~ (all_28_144 = % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_146) | ~ (all_28_148 = all_28_150) | ~ % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_152 = all_28_154) | ~ (all_28_156 = % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_158) | ( ~ (all_28_145 = e23) & ~ % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_149 = e23) & ~ (all_28_153 = e23) & ~ % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_157 = e23)) | ( ~ (all_28_145 = e22) & % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_149 = e22) & ~ (all_28_153 = e22) & % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_157 = e22)) | ( ~ (all_28_145 = e21) & % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_149 = e21) & ~ (all_28_153 = e21) & % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_157 = e21)) | ( ~ (all_28_145 = e20) & % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_149 = e20) & ~ (all_28_153 = e20) & % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_157 = e20)) % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1802) gives: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1819) all_26_7 = e23 % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (590), (1819) imply: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1820) all_14_6 = e23 % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1820) implies: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1821) all_14_6 = e23 % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1022), (1821) imply: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1822) all_28_135 = e23 % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1818) gives: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1823) ~ (all_28_114 = all_28_115) % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1299), (1751), (1823) imply: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1824) $false % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1824) is inconsistent. % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1825) ~ (all_28_117 = all_28_118) | ~ (all_28_120 = % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_121) | ~ (all_28_123 = all_28_124) | ~ % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_126 = all_28_127) | ~ (all_28_129 = % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_130) | ~ (all_28_132 = all_28_133) | ~ % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_135 = all_28_136) | ~ (all_28_138 = % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_139) | ~ (all_28_141 = all_28_142) | ~ % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_144 = all_28_146) | ~ (all_28_148 = % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_150) | ~ (all_28_152 = all_28_154) | ~ % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_156 = all_28_158) | ( ~ (all_28_145 = e23) % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_149 = e23) & ~ (all_28_153 = e23) % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_157 = e23)) | ( ~ (all_28_145 = % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_28_149 = e22) & ~ (all_28_153 % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_28_157 = e22)) | ( ~ % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_145 = e21) & ~ (all_28_149 = e21) & ~ % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_153 = e21) & ~ (all_28_157 = e21)) | ( % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_145 = e20) & ~ (all_28_149 = e20) & % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_153 = e20) & ~ (all_28_157 = e20)) % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1825) gives: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1826) ~ (all_28_117 = all_28_118) % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1076), (1320), (1826) imply: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1827) $false % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1827) is inconsistent. % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1828) ~ (all_28_120 = all_28_121) | ~ (all_28_123 = % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_124) | ~ (all_28_126 = all_28_127) | ~ % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_129 = all_28_130) | ~ (all_28_132 = % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_133) | ~ (all_28_135 = all_28_136) | ~ % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_138 = all_28_139) | ~ (all_28_141 = % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_142) | ~ (all_28_144 = all_28_146) | ~ % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_148 = all_28_150) | ~ (all_28_152 = % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_154) | ~ (all_28_156 = all_28_158) | ( ~ % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_145 = e23) & ~ (all_28_149 = e23) & ~ % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_153 = e23) & ~ (all_28_157 = e23)) | ( % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_145 = e22) & ~ (all_28_149 = e22) & % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_153 = e22) & ~ (all_28_157 = e22)) | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_28_145 = e21) & ~ (all_28_149 = e21) & % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_153 = e21) & ~ (all_28_157 = e21)) | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_28_145 = e20) & ~ (all_28_149 = e20) & % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_153 = e20) & ~ (all_28_157 = e20)) % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1828) gives: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1829) ~ (all_28_120 = all_28_121) % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1288), (1778), (1829) imply: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1830) $false % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1830) is inconsistent. % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1831) ~ (all_28_123 = all_28_124) | ~ (all_28_126 = % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_127) | ~ (all_28_129 = all_28_130) | ~ % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_132 = all_28_133) | ~ (all_28_135 = % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_136) | ~ (all_28_138 = all_28_139) | ~ % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_141 = all_28_142) | ~ (all_28_144 = % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_146) | ~ (all_28_148 = all_28_150) | ~ % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_152 = all_28_154) | ~ (all_28_156 = % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_158) | ( ~ (all_28_145 = e23) & ~ % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_149 = e23) & ~ (all_28_153 = e23) & ~ % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_157 = e23)) | ( ~ (all_28_145 = e22) & % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_149 = e22) & ~ (all_28_153 = e22) & % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_157 = e22)) | ( ~ (all_28_145 = e21) & % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_149 = e21) & ~ (all_28_153 = e21) & % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_157 = e21)) | ( ~ (all_28_145 = e20) & % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_149 = e20) & ~ (all_28_153 = e20) & % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_157 = e20)) % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1831) gives: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1832) ~ (all_28_123 = all_28_124) % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1258), (1715), (1832) imply: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1833) $false % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1833) is inconsistent. % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1834) ~ (all_28_126 = all_28_127) | ~ (all_28_129 = % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_130) | ~ (all_28_132 = all_28_133) | ~ % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_135 = all_28_136) | ~ (all_28_138 = % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_139) | ~ (all_28_141 = all_28_142) | ~ % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_144 = all_28_146) | ~ (all_28_148 = % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_150) | ~ (all_28_152 = all_28_154) | ~ % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_156 = all_28_158) | ( ~ (all_28_145 = e23) % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_149 = e23) & ~ (all_28_153 = e23) % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_157 = e23)) | ( ~ (all_28_145 = % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_28_149 = e22) & ~ (all_28_153 % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_28_157 = e22)) | ( ~ % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_145 = e21) & ~ (all_28_149 = e21) & ~ % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_153 = e21) & ~ (all_28_157 = e21)) | ( % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_145 = e20) & ~ (all_28_149 = e20) & % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_153 = e20) & ~ (all_28_157 = e20)) % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1834) gives: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1835) ~ (all_28_126 = all_28_127) % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1287), (1782), (1835) imply: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1836) $false % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1836) is inconsistent. % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1837) ~ (all_28_129 = all_28_130) | ~ (all_28_132 = % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_133) | ~ (all_28_135 = all_28_136) | ~ % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_138 = all_28_139) | ~ (all_28_141 = % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_142) | ~ (all_28_144 = all_28_146) | ~ % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_148 = all_28_150) | ~ (all_28_152 = % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_154) | ~ (all_28_156 = all_28_158) | ( ~ % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_145 = e23) & ~ (all_28_149 = e23) & ~ % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_153 = e23) & ~ (all_28_157 = e23)) | ( % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_145 = e22) & ~ (all_28_149 = e22) & % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_153 = e22) & ~ (all_28_157 = e22)) | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_28_145 = e21) & ~ (all_28_149 = e21) & % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_153 = e21) & ~ (all_28_157 = e21)) | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_28_145 = e20) & ~ (all_28_149 = e20) & % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_153 = e20) & ~ (all_28_157 = e20)) % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1837) gives: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1838) ~ (all_28_129 = all_28_130) % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1027), (1028), (1838) imply: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1839) $false % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1839) is inconsistent. % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1840) ~ (all_28_132 = all_28_133) | ~ (all_28_135 = % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_136) | ~ (all_28_138 = all_28_139) | ~ % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_141 = all_28_142) | ~ (all_28_144 = % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_146) | ~ (all_28_148 = all_28_150) | ~ % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_152 = all_28_154) | ~ (all_28_156 = % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_158) | ( ~ (all_28_145 = e23) & ~ % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_149 = e23) & ~ (all_28_153 = e23) & ~ % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_157 = e23)) | ( ~ (all_28_145 = e22) & % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_149 = e22) & ~ (all_28_153 = e22) & % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_157 = e22)) | ( ~ (all_28_145 = e21) & % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_149 = e21) & ~ (all_28_153 = e21) & % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_157 = e21)) | ( ~ (all_28_145 = e20) & % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_149 = e20) & ~ (all_28_153 = e20) & % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_157 = e20)) % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1840) gives: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1841) ~ (all_28_132 = all_28_133) % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1295), (1789), (1841) imply: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1842) $false % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1842) is inconsistent. % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1843) ~ (all_28_135 = all_28_136) | ~ (all_28_138 = % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_139) | ~ (all_28_141 = all_28_142) | ~ % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_144 = all_28_146) | ~ (all_28_148 = % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_150) | ~ (all_28_152 = all_28_154) | ~ % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_156 = all_28_158) | ( ~ (all_28_145 = e23) % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_149 = e23) & ~ (all_28_153 = e23) % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_157 = e23)) | ( ~ (all_28_145 = % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_28_149 = e22) & ~ (all_28_153 % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_28_157 = e22)) | ( ~ % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_145 = e21) & ~ (all_28_149 = e21) & ~ % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_153 = e21) & ~ (all_28_157 = e21)) | ( % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_145 = e20) & ~ (all_28_149 = e20) & % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_153 = e20) & ~ (all_28_157 = e20)) % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1843) gives: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1844) ~ (all_28_135 = all_28_136) % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1260), (1822), (1844) imply: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1845) $false % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1845) is inconsistent. % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1846) ~ (all_28_138 = all_28_139) | ~ (all_28_141 = % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_142) | ~ (all_28_144 = all_28_146) | ~ % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_148 = all_28_150) | ~ (all_28_152 = % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_154) | ~ (all_28_156 = all_28_158) | ( ~ % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_145 = e23) & ~ (all_28_149 = e23) & ~ % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_153 = e23) & ~ (all_28_157 = e23)) | ( % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_145 = e22) & ~ (all_28_149 = e22) & % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_153 = e22) & ~ (all_28_157 = e22)) | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_28_145 = e21) & ~ (all_28_149 = e21) & % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_153 = e21) & ~ (all_28_157 = e21)) | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_28_145 = e20) & ~ (all_28_149 = e20) & % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_153 = e20) & ~ (all_28_157 = e20)) % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1846) gives: % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1847) ~ (all_28_138 = all_28_139) % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1293), (1806), (1847) imply: % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1848) $false % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1848) is inconsistent. % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1849) ~ (all_28_141 = all_28_142) | ~ (all_28_144 = % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_146) | ~ (all_28_148 = all_28_150) | ~ % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_152 = all_28_154) | ~ (all_28_156 = % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_158) | ( ~ (all_28_145 = e23) & ~ % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_149 = e23) & ~ (all_28_153 = e23) & ~ % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_157 = e23)) | ( ~ (all_28_145 = e22) & % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_149 = e22) & ~ (all_28_153 = e22) & % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_157 = e22)) | ( ~ (all_28_145 = e21) & % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_149 = e21) & ~ (all_28_153 = e21) & % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_157 = e21)) | ( ~ (all_28_145 = e20) & % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_149 = e20) & ~ (all_28_153 = e20) & % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_157 = e20)) % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1849) gives: % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1850) ~ (all_28_141 = all_28_142) % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1075), (1304), (1850) imply: % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1851) $false % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1851) is inconsistent. % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1852) ~ (all_28_144 = all_28_146) | ~ (all_28_148 = % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_150) | ~ (all_28_152 = all_28_154) | ~ % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_156 = all_28_158) | ( ~ (all_28_145 = e23) % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_149 = e23) & ~ (all_28_153 = e23) % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_157 = e23)) | ( ~ (all_28_145 = % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_28_149 = e22) & ~ (all_28_153 % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_28_157 = e22)) | ( ~ % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_145 = e21) & ~ (all_28_149 = e21) & ~ % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_153 = e21) & ~ (all_28_157 = e21)) | ( % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_145 = e20) & ~ (all_28_149 = e20) & % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_153 = e20) & ~ (all_28_157 = e20)) % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1852) gives: % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1853) ~ (all_28_144 = all_28_146) % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1298), (1695), (1853) imply: % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1854) $false % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1854) is inconsistent. % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1855) ~ (all_28_148 = all_28_150) | ~ (all_28_152 = % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_154) | ~ (all_28_156 = all_28_158) | ( ~ % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_145 = e23) & ~ (all_28_149 = e23) & ~ % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_153 = e23) & ~ (all_28_157 = e23)) | ( % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_145 = e22) & ~ (all_28_149 = e22) & % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_153 = e22) & ~ (all_28_157 = e22)) | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_28_145 = e21) & ~ (all_28_149 = e21) & % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_153 = e21) & ~ (all_28_157 = e21)) | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_28_145 = e20) & ~ (all_28_149 = e20) & % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_153 = e20) & ~ (all_28_157 = e20)) % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1855) gives: % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1856) ~ (all_28_148 = all_28_150) % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1297), (1704), (1856) imply: % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1857) $false % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1857) is inconsistent. % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1858) ~ (all_28_152 = all_28_154) | ~ (all_28_156 = % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_158) | ( ~ (all_28_145 = e23) & ~ % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_149 = e23) & ~ (all_28_153 = e23) & ~ % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_157 = e23)) | ( ~ (all_28_145 = e22) & % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_149 = e22) & ~ (all_28_153 = e22) & % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_157 = e22)) | ( ~ (all_28_145 = e21) & % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_149 = e21) & ~ (all_28_153 = e21) & % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_157 = e21)) | ( ~ (all_28_145 = e20) & % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_149 = e20) & ~ (all_28_153 = e20) & % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_157 = e20)) % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (621), (815), (985), (986), (1000), (1011), % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1012), (1026), (1858) are inconsistent by % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #85. % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1859) all_26_13 = e23 % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11), (350), (590), (604), (1305), (1706), % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1809), (1859) are inconsistent by sub-proof #162. % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1860) all_26_3 = e21 | all_26_7 = e21 | all_26_13 = e21 % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1860) gives: % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1861) all_26_3 = e21 % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (857), (1714), (1861) are inconsistent by % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #123. % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1862) all_26_7 = e21 | all_26_13 = e21 % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1862) gives: % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1863) all_26_7 = e21 % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (590), (1863) imply: % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1864) all_14_6 = e21 % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1864) implies: % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1865) all_14_6 = e21 % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1807), (1865) imply: % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1866) $false % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1866) is inconsistent. % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1867) all_26_13 = e21 % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1703), (1867) imply: % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1868) e21 = e20 % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (1868) imply: % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1869) $false % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1869) is inconsistent. % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1870) all_18_10 = e23 % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (762), (1756), (1870) are inconsistent by % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #84. % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1871) all_18_8 = e23 | all_18_8 = e21 % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (739), (762), (835), (854), (1696), (1756), % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1767), (1871) are inconsistent by sub-proof #82. % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1872) ~ (all_18_6 = e20) % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1873) all_18_6 = e23 | all_18_6 = e22 | all_18_6 = e21 % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (748), (1872) imply: % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1874) ~ (all_14_9 = e20) % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (345) gives: % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1875) all_26_4 = e20 % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (1750), (1875) are inconsistent by sub-proof % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #81. % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1876) all_26_5 = e20 | all_26_8 = e20 | all_26_14 = e20 % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (574), (600), (748), (812), (852), (853), % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1308), (1873), (1874), (1876) are inconsistent by % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #80. % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1877) all_18_4 = e23 % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (738), (1877) imply: % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1878) all_14_1 = e23 % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (834), (1878) imply: % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1879) $false % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1879) is inconsistent. % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1880) all_18_0 = e23 | all_18_0 = e22 | all_18_0 = e21 % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (754), (1323), (1700), (1752), (1880) are % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #120. % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1881) all_22_7 = e22 & all_22_10 = e21 & ~ (all_22_6 = % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_12 = e21) % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1881) implies: % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1882) all_22_7 = e22 % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (683), (852), (1882) are inconsistent by sub-proof % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #99. % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1883) (all_22_7 = e22 & all_22_15 = e21 & ~ (all_22_8 = % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_12 = e21)) | (all_22_8 = e20 % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_10 = e21 & ~ (all_22_6 = e23) & ~ % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e21)) | (all_22_8 = e20 & all_22_12 % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21 & ~ (all_22_7 = e22) & ~ (all_22_15 = % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21)) % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1883) gives: % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1884) all_22_7 = e22 & all_22_15 = e21 & ~ (all_22_8 = % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_12 = e21) % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1884) implies: % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1885) all_22_7 = e22 % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (683), (852), (1885) are inconsistent by sub-proof % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #99. % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1886) (all_22_8 = e20 & all_22_10 = e21 & ~ (all_22_6 = % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_15 = e21)) | (all_22_8 = e20 % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_12 = e21 & ~ (all_22_7 = e22) & ~ % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e21)) % 59.44/9.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1886) gives: % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1887) all_22_8 = e20 & all_22_10 = e21 & ~ (all_22_6 = % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_15 = e21) % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (701), (1887) are inconsistent by sub-proof % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #150. % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1888) all_22_8 = e20 & all_22_12 = e21 & ~ (all_22_7 = % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_15 = e21) % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1888) implies: % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1889) all_22_12 = e21 % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1890) all_22_8 = e20 % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (701), (1890) imply: % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1891) e22 = e20 % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1712), (1889) imply: % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1892) e22 = e21 % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1891), (1892) are inconsistent by sub-proof % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #134. % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1893) (all_22_9 = e23 & all_22_12 = e20 & ~ (all_22_10 % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_22_11 = e22)) | (all_22_9 = % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23 & all_22_14 = e20 & ~ (all_22_10 = e20) & % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_22_13 = e21)) | (all_22_10 = e20 & % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_11 = e22 & ~ (all_22_9 = e23) & ~ % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e20)) | (all_22_10 = e20 & % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_13 = e21 & ~ (all_22_9 = e23) & ~ % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e20)) | (all_22_11 = e22 & % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_14 = e20 & ~ (all_22_12 = e20) & ~ % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_13 = e21)) | (all_22_12 = e20 & % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_13 = e21 & ~ (all_22_11 = e22) & ~ % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e20)) % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1893) gives: % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1894) (all_22_9 = e23 & all_22_12 = e20 & ~ (all_22_10 % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_22_11 = e22)) | (all_22_9 = % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23 & all_22_14 = e20 & ~ (all_22_10 = e20) & % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_22_13 = e21)) | (all_22_10 = e20 & % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_11 = e22 & ~ (all_22_9 = e23) & ~ % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e20)) % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1894) gives: % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1895) all_22_9 = e23 & all_22_12 = e20 & ~ (all_22_10 = % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_11 = e22) % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1895) implies: % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1896) all_22_12 = e20 % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1712), (1896) imply: % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1897) e22 = e20 % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (1897) imply: % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1898) $false % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1898) is inconsistent. % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1899) (all_22_9 = e23 & all_22_14 = e20 & ~ (all_22_10 % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_22_13 = e21)) | (all_22_10 = % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 & all_22_11 = e22 & ~ (all_22_9 = e23) & ~ % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e20)) % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1899) gives: % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1900) all_22_9 = e23 & all_22_14 = e20 & ~ (all_22_10 = % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_13 = e21) % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1900) implies: % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1901) all_22_9 = e23 % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (1318), (1901) are inconsistent by sub-proof % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #149. % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1902) all_22_10 = e20 & all_22_11 = e22 & ~ (all_22_9 = % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_12 = e20) % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1902) implies: % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1903) all_22_11 = e22 % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (693), (1903) imply: % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1904) e23 = e22 % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12), (1904) imply: % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1905) $false % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1905) is inconsistent. % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1906) (all_22_10 = e20 & all_22_13 = e21 & ~ (all_22_9 % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_22_14 = e20)) | (all_22_11 = % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22 & all_22_14 = e20 & ~ (all_22_12 = e20) & % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_22_13 = e21)) | (all_22_12 = e20 & % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_13 = e21 & ~ (all_22_11 = e22) & ~ % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e20)) % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1906) gives: % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1907) all_22_10 = e20 & all_22_13 = e21 & ~ (all_22_9 = % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_14 = e20) % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1302), (1907) are inconsistent by sub-proof % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #129. % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1908) (all_22_11 = e22 & all_22_14 = e20 & ~ (all_22_12 % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_22_13 = e21)) | (all_22_12 = % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 & all_22_13 = e21 & ~ (all_22_11 = e22) & % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_22_14 = e20)) % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1908) gives: % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1909) all_22_11 = e22 & all_22_14 = e20 & ~ (all_22_12 % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_22_13 = e21) % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (693), (1909) are inconsistent by sub-proof % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #112. % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1910) all_22_12 = e20 & all_22_13 = e21 & ~ (all_22_11 % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_22_14 = e20) % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1302), (1910) are inconsistent by sub-proof % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #127. % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1911) (all_22_14 = e21 & ( ~ (all_22_10 = e21) | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_6 = e23) & ( ~ (all_22_12 = e21) | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_7 = e22) & ( ~ (all_22_15 = e21) | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_8 = e20)) | (all_22_15 = e20 & ( ~ % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e20) | all_22_9 = e23) & ( ~ % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e20) | all_22_11 = e22) & ( ~ % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e20) | all_22_13 = e21)) % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10), (568), (701), (1911) are inconsistent % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #79. % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1912) ~ (all_18_13 = e20) % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (746), (1912) imply: % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1913) ~ (all_14_7 = e20) % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1687) gives: % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1914) all_26_12 = e20 % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1694), (1914) imply: % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1915) e23 = e20 % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1915) implies: % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1916) e23 = e20 % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (1916) imply: % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1917) $false % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1917) is inconsistent. % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1918) all_26_13 = e20 | all_26_14 = e20 % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (574), (577), (1913), (1918) are % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #78. % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1919) all_18_3 = e23 | all_18_3 = e21 % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1919) gives: % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1920) all_18_3 = e21 % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (752), (1920) imply: % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1921) all_14_12 = e21 % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (859), (1921) imply: % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1922) $false % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1922) is inconsistent. % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1923) all_18_3 = e23 % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (752), (1923) imply: % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1924) all_14_12 = e23 % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (858), (1924) imply: % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1925) $false % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1925) is inconsistent. % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1926) ~ (all_18_11 = e20) % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1927) all_18_11 = e23 | all_18_11 = e22 | all_18_11 = % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21 % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (760), (1926) imply: % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1928) ~ (all_14_14 = e20) % 59.44/9.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11), (132), (140), (143), (146), (148), % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (153), (154), (155), (156), (160), (161), (168), % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (169), (238), (239), (241), (244), (245), (247), % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (249), (286), (287), (339), (342), (348), (349), % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (350), (352), (355), (357), (358), (568), (574), % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (577), (580), (583), (585), (590), (593), (597), % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (600), (604), (607), (610), (613), (616), (620), % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (673), (674), (677), (679), (681), (683), (685), % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (687), (691), (693), (694), (697), (698), (701), % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (738), (741), (746), (747), (748), (754), (760), % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (762), (811), (812), (822), (824), (826), (828), % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (830), (832), (833), (836), (837), (838), (840), % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (842), (844), (845), (847), (848), (849), (850), % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (851), (852), (853), (856), (861), (863), (1927), % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1928) are inconsistent by sub-proof #66. % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1929) all_24_14 = e11 % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (804), (1929) imply: % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1930) e12 = e11 % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1930) implies: % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1931) e12 = e11 % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1070), (1931) imply: % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1932) $false % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1932) is inconsistent. % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | | (1933) all_16_1 = e13 % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (769), (1933) imply: % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | | (1934) all_12_4 = e13 % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1183), (1934) imply: % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | | (1935) $false % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1935) is inconsistent. % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | (1936) all_24_1 = e10 | all_24_4 = e10 | all_24_9 = e10 % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1936) gives: % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | (1937) all_24_1 = e10 % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (809), (1090), (1937) are inconsistent by % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #65. % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | (1938) all_24_4 = e10 | all_24_9 = e10 % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1938) gives: % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | | (1939) all_24_4 = e10 % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1181), (1939) imply: % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | | (1940) e13 = e10 % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1940) implies: % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | | (1941) e13 = e10 % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (1941) imply: % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | | (1942) $false % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1942) is inconsistent. % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | | (1943) all_24_9 = e10 % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1062), (1071), (1943) are inconsistent by % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #64. % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | (1944) ~ (all_16_6 = e10) % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (776), (1944) imply: % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | (1945) ~ (all_12_9 = e10) % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (313) gives: % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | (1946) all_24_2 = e10 % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1198), (1946) imply: % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | (1947) e11 = e10 % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1947) implies: % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | (1948) e11 = e10 % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (1948) imply: % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | (1949) $false % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1949) is inconsistent. % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | (1950) all_24_3 = e10 | all_24_5 = e10 | all_24_10 = e10 % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1950) gives: % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | (1951) all_24_3 = e10 % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1108), (1951) imply: % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | (1952) e12 = e10 % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1952) implies: % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | (1953) e12 = e10 % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1071), (1953) imply: % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | (1954) $false % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1954) is inconsistent. % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | (1955) all_24_5 = e10 | all_24_10 = e10 % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1955) gives: % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | | (1956) all_24_5 = e10 % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (651), (1945), (1956) are inconsistent by % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #63. % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | | (1957) all_24_10 = e10 % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (535), (1957) are inconsistent by sub-proof % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | | #62. % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | (1958) all_24_6 = e11 | all_24_12 = e11 % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1958) gives: % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | (1959) all_24_6 = e11 % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1117), (1959) imply: % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | (1960) e12 = e11 % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | SIMP: (1960) implies: % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | (1961) e12 = e11 % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1070), (1961) imply: % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | (1962) $false % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1962) is inconsistent. % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | (1963) all_24_12 = e11 % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1094), (1963) imply: % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | (1964) e13 = e11 % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | SIMP: (1964) implies: % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | (1965) e13 = e11 % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (878), (1965) imply: % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | (1966) $false % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1966) is inconsistent. % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.33 | | | | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.33 | | | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | | End of split % 59.44/9.33 | | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | End of split % 59.44/9.33 | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | Case 2: % 59.44/9.33 | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | (1967) all_20_7 = e12 & all_20_10 = e11 & ~ (all_20_6 = % 59.44/9.33 | | | | | | | | | | | | | | | | | e13) & ~ (all_20_12 = e11) % 59.44/9.33 | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | ALPHA: (1967) implies: % 59.44/9.33 | | | | | | | | | | | | | | | | | (1968) all_20_7 = e12 % 59.44/9.33 | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | COMBINE_EQS: (714), (1968) imply: % 59.44/9.33 | | | | | | | | | | | | | | | | | (1969) all_12_9 = e12 % 59.44/9.33 | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | REDUCE: (871), (1969) imply: % 59.44/9.33 | | | | | | | | | | | | | | | | | (1970) $false % 59.44/9.33 | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | | CLOSE: (1970) is inconsistent. % 59.44/9.33 | | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | End of split % 59.44/9.33 | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | End of split % 59.44/9.33 | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | Case 2: % 59.44/9.33 | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | (1971) (all_20_7 = e12 & all_20_15 = e11 & ~ (all_20_8 = % 59.44/9.33 | | | | | | | | | | | | | | | e10) & ~ (all_20_12 = e11)) | (all_20_8 = e10 % 59.44/9.33 | | | | | | | | | | | | | | | & all_20_10 = e11 & ~ (all_20_6 = e13) & ~ % 59.44/9.33 | | | | | | | | | | | | | | | (all_20_15 = e11)) | (all_20_8 = e10 & all_20_12 % 59.44/9.33 | | | | | | | | | | | | | | | = e11 & ~ (all_20_7 = e12) & ~ (all_20_15 = % 59.44/9.33 | | | | | | | | | | | | | | | e11)) % 59.44/9.33 | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | BETA: splitting (1971) gives: % 59.44/9.33 | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | Case 1: % 59.44/9.33 | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | (1972) all_20_7 = e12 & all_20_15 = e11 & ~ (all_20_8 = % 59.44/9.33 | | | | | | | | | | | | | | | | e10) & ~ (all_20_12 = e11) % 59.44/9.33 | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | | REF_CLOSE: (714), (871), (1972) are inconsistent by sub-proof % 59.44/9.33 | | | | | | | | | | | | | | | | #61. % 59.44/9.33 | | | | | | | | | | | | | | | | % 59.44/9.33 | | | | | | | | | | | | | | | Case 2: % 59.44/9.33 | | | | | | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | | | | | | (1973) (all_20_8 = e10 & all_20_10 = e11 & ~ (all_20_6 = % 59.44/9.34 | | | | | | | | | | | | | | | | e13) & ~ (all_20_15 = e11)) | (all_20_8 = e10 % 59.44/9.34 | | | | | | | | | | | | | | | | & all_20_12 = e11 & ~ (all_20_7 = e12) & ~ % 59.44/9.34 | | | | | | | | | | | | | | | | (all_20_15 = e11)) % 59.44/9.34 | | | | | | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | | | | | | BETA: splitting (1973) gives: % 59.44/9.34 | | | | | | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | | | | | | Case 1: % 59.44/9.34 | | | | | | | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | | | | | | | (1974) all_20_8 = e10 & all_20_10 = e11 & ~ (all_20_6 = % 59.44/9.34 | | | | | | | | | | | | | | | | | e13) & ~ (all_20_15 = e11) % 59.44/9.34 | | | | | | | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | | | | | | | REF_CLOSE: (505), (1071), (1974) are inconsistent by % 59.44/9.34 | | | | | | | | | | | | | | | | | sub-proof #60. % 59.44/9.34 | | | | | | | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | | | | | | Case 2: % 59.44/9.34 | | | | | | | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | | | | | | | (1975) all_20_8 = e10 & all_20_12 = e11 & ~ (all_20_7 = % 59.44/9.34 | | | | | | | | | | | | | | | | | e12) & ~ (all_20_15 = e11) % 59.44/9.34 | | | | | | | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (505), (1105), (1975) are inconsistent by % 59.44/9.34 | | | | | | | | | | | | | | | | | sub-proof #58. % 59.44/9.34 | | | | | | | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | | | | | | End of split % 59.44/9.34 | | | | | | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | | | | | End of split % 59.44/9.34 | | | | | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | | | | End of split % 59.44/9.34 | | | | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | | | Case 2: % 59.44/9.34 | | | | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | | | | (1976) (all_20_9 = e13 & all_20_12 = e10 & ~ (all_20_10 % 59.44/9.34 | | | | | | | | | | | | | | = e10) & ~ (all_20_11 = e12)) | (all_20_9 = % 59.44/9.34 | | | | | | | | | | | | | | e13 & all_20_14 = e10 & ~ (all_20_10 = e10) & % 59.44/9.34 | | | | | | | | | | | | | | ~ (all_20_13 = e11)) | (all_20_10 = e10 & % 59.44/9.34 | | | | | | | | | | | | | | all_20_11 = e12 & ~ (all_20_9 = e13) & ~ % 59.44/9.34 | | | | | | | | | | | | | | (all_20_12 = e10)) | (all_20_10 = e10 & % 59.44/9.34 | | | | | | | | | | | | | | all_20_13 = e11 & ~ (all_20_9 = e13) & ~ % 59.44/9.34 | | | | | | | | | | | | | | (all_20_14 = e10)) | (all_20_11 = e12 & % 59.44/9.34 | | | | | | | | | | | | | | all_20_14 = e10 & ~ (all_20_12 = e10) & ~ % 59.44/9.34 | | | | | | | | | | | | | | (all_20_13 = e11)) | (all_20_12 = e10 & % 59.44/9.34 | | | | | | | | | | | | | | all_20_13 = e11 & ~ (all_20_11 = e12) & ~ % 59.44/9.34 | | | | | | | | | | | | | | (all_20_14 = e10)) % 59.44/9.34 | | | | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | | | | BETA: splitting (1976) gives: % 59.44/9.34 | | | | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | | | | Case 1: % 59.44/9.34 | | | | | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | | | | | (1977) (all_20_9 = e13 & all_20_12 = e10 & ~ (all_20_10 % 59.44/9.34 | | | | | | | | | | | | | | | = e10) & ~ (all_20_11 = e12)) | (all_20_9 = % 59.44/9.34 | | | | | | | | | | | | | | | e13 & all_20_14 = e10 & ~ (all_20_10 = e10) & % 59.44/9.34 | | | | | | | | | | | | | | | ~ (all_20_13 = e11)) | (all_20_10 = e10 & % 59.44/9.34 | | | | | | | | | | | | | | | all_20_11 = e12 & ~ (all_20_9 = e13) & ~ % 59.44/9.34 | | | | | | | | | | | | | | | (all_20_12 = e10)) % 59.44/9.34 | | | | | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | | | | | BETA: splitting (1977) gives: % 59.44/9.34 | | | | | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | | | | | Case 1: % 59.44/9.34 | | | | | | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | | | | | | (1978) all_20_9 = e13 & all_20_12 = e10 & ~ (all_20_10 = % 59.44/9.34 | | | | | | | | | | | | | | | | e10) & ~ (all_20_11 = e12) % 59.44/9.34 | | | | | | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | | | | | | ALPHA: (1978) implies: % 59.44/9.34 | | | | | | | | | | | | | | | | (1979) all_20_12 = e10 % 59.44/9.34 | | | | | | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | | | | | | REF_CLOSE: (1071), (1105), (1979) are inconsistent by % 59.44/9.34 | | | | | | | | | | | | | | | | sub-proof #57. % 59.44/9.34 | | | | | | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | | | | | Case 2: % 59.44/9.34 | | | | | | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | | | | | | (1980) (all_20_9 = e13 & all_20_14 = e10 & ~ (all_20_10 % 59.44/9.34 | | | | | | | | | | | | | | | | = e10) & ~ (all_20_13 = e11)) | (all_20_10 = % 59.44/9.34 | | | | | | | | | | | | | | | | e10 & all_20_11 = e12 & ~ (all_20_9 = e13) & ~ % 59.44/9.34 | | | | | | | | | | | | | | | | (all_20_12 = e10)) % 59.44/9.34 | | | | | | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | | | | | | BETA: splitting (1980) gives: % 59.44/9.34 | | | | | | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | | | | | | Case 1: % 59.44/9.34 | | | | | | | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | | | | | | | (1981) all_20_9 = e13 & all_20_14 = e10 & ~ (all_20_10 = % 59.44/9.34 | | | | | | | | | | | | | | | | | e10) & ~ (all_20_13 = e11) % 59.44/9.34 | | | | | | | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | | | | | | | ALPHA: (1981) implies: % 59.44/9.34 | | | | | | | | | | | | | | | | | (1982) all_20_9 = e13 % 59.44/9.34 | | | | | | | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | | | | | | | REF_CLOSE: (1065), (1069), (1982) are inconsistent by % 59.44/9.34 | | | | | | | | | | | | | | | | | sub-proof #56. % 59.44/9.34 | | | | | | | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | | | | | | Case 2: % 59.44/9.34 | | | | | | | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | | | | | | | (1983) all_20_10 = e10 & all_20_11 = e12 & ~ (all_20_9 = % 59.44/9.34 | | | | | | | | | | | | | | | | | e13) & ~ (all_20_12 = e10) % 59.44/9.34 | | | | | | | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | | | | | | | ALPHA: (1983) implies: % 59.44/9.34 | | | | | | | | | | | | | | | | | (1984) all_20_11 = e12 % 59.44/9.34 | | | | | | | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | | | | | | | REF_CLOSE: (725), (1069), (1984) are inconsistent by % 59.44/9.34 | | | | | | | | | | | | | | | | | sub-proof #55. % 59.44/9.34 | | | | | | | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | | | | | | End of split % 59.44/9.34 | | | | | | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | | | | | End of split % 59.44/9.34 | | | | | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | | | | Case 2: % 59.44/9.34 | | | | | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | | | | | (1985) (all_20_10 = e10 & all_20_13 = e11 & ~ (all_20_9 % 59.44/9.34 | | | | | | | | | | | | | | | = e13) & ~ (all_20_14 = e10)) | (all_20_11 = % 59.44/9.34 | | | | | | | | | | | | | | | e12 & all_20_14 = e10 & ~ (all_20_12 = e10) & % 59.44/9.34 | | | | | | | | | | | | | | | ~ (all_20_13 = e11)) | (all_20_12 = e10 & % 59.44/9.34 | | | | | | | | | | | | | | | all_20_13 = e11 & ~ (all_20_11 = e12) & ~ % 59.44/9.34 | | | | | | | | | | | | | | | (all_20_14 = e10)) % 59.44/9.34 | | | | | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | | | | | BETA: splitting (1985) gives: % 59.44/9.34 | | | | | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | | | | | Case 1: % 59.44/9.34 | | | | | | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | | | | | | (1986) all_20_10 = e10 & all_20_13 = e11 & ~ (all_20_9 = % 59.44/9.34 | | | | | | | | | | | | | | | | e13) & ~ (all_20_14 = e10) % 59.44/9.34 | | | | | | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | | | | | | ALPHA: (1986) implies: % 59.44/9.34 | | | | | | | | | | | | | | | | (1987) all_20_13 = e11 % 59.44/9.34 | | | | | | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | | | | | | COMBINE_EQS: (1046), (1987) imply: % 59.44/9.34 | | | | | | | | | | | | | | | | (1988) e11 = e10 % 59.44/9.34 | | | | | | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | | | | | | REDUCE: (7), (1988) imply: % 59.44/9.34 | | | | | | | | | | | | | | | | (1989) $false % 59.44/9.34 | | | | | | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | | | | | | CLOSE: (1989) is inconsistent. % 59.44/9.34 | | | | | | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | | | | | Case 2: % 59.44/9.34 | | | | | | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | | | | | | (1990) (all_20_11 = e12 & all_20_14 = e10 & ~ (all_20_12 % 59.44/9.34 | | | | | | | | | | | | | | | | = e10) & ~ (all_20_13 = e11)) | (all_20_12 = % 59.44/9.34 | | | | | | | | | | | | | | | | e10 & all_20_13 = e11 & ~ (all_20_11 = e12) & % 59.44/9.34 | | | | | | | | | | | | | | | | ~ (all_20_14 = e10)) % 59.44/9.34 | | | | | | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | | | | | | BETA: splitting (1990) gives: % 59.44/9.34 | | | | | | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | | | | | | Case 1: % 59.44/9.34 | | | | | | | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | | | | | | | (1991) all_20_11 = e12 & all_20_14 = e10 & ~ (all_20_12 % 59.44/9.34 | | | | | | | | | | | | | | | | | = e10) & ~ (all_20_13 = e11) % 59.44/9.34 | | | | | | | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | | | | | | | REF_CLOSE: (725), (1069), (1991) are inconsistent by % 59.44/9.34 | | | | | | | | | | | | | | | | | sub-proof #54. % 59.44/9.34 | | | | | | | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | | | | | | Case 2: % 59.44/9.34 | | | | | | | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | | | | | | | (1992) all_20_12 = e10 & all_20_13 = e11 & ~ (all_20_11 % 59.44/9.34 | | | | | | | | | | | | | | | | | = e12) & ~ (all_20_14 = e10) % 59.44/9.34 | | | | | | | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1046), (1992) are inconsistent by sub-proof % 59.44/9.34 | | | | | | | | | | | | | | | | | #53. % 59.44/9.34 | | | | | | | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | | | | | | End of split % 59.44/9.34 | | | | | | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | | | | | End of split % 59.44/9.34 | | | | | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | | | | End of split % 59.44/9.34 | | | | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | | | End of split % 59.44/9.34 | | | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | | End of split % 59.44/9.34 | | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | Case 2: % 59.44/9.34 | | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | | (1993) all_24_12 = e12 % 59.44/9.34 | | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | | REF_CLOSE: (1069), (1094), (1993) are inconsistent by % 59.44/9.34 | | | | | | | | | | | | sub-proof #52. % 59.44/9.34 | | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | End of split % 59.44/9.34 | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | End of split % 59.44/9.34 | | | | | | | | | | % 59.44/9.34 | | | | | | | | | End of split % 59.44/9.34 | | | | | | | | | % 59.44/9.34 | | | | | | | | End of split % 59.44/9.34 | | | | | | | | % 59.44/9.34 | | | | | | | Case 2: % 59.44/9.34 | | | | | | | | % 59.44/9.34 | | | | | | | | (1994) (all_20_14 = e11 & ( ~ (all_20_10 = e11) | all_20_6 = % 59.44/9.34 | | | | | | | | e13) & ( ~ (all_20_12 = e11) | all_20_7 = e12) & ( % 59.44/9.34 | | | | | | | | ~ (all_20_15 = e11) | all_20_8 = e10)) | % 59.44/9.34 | | | | | | | | (all_20_15 = e10 & ( ~ (all_20_10 = e10) | all_20_9 = % 59.44/9.34 | | | | | | | | e13) & ( ~ (all_20_12 = e10) | all_20_11 = e12) & % 59.44/9.34 | | | | | | | | ( ~ (all_20_14 = e10) | all_20_13 = e11)) % 59.44/9.34 | | | | | | | | % 59.44/9.34 | | | | | | | | REF_CLOSE: (7), (505), (803), (1071), (1994) are inconsistent by % 59.44/9.34 | | | | | | | | sub-proof #50. % 59.44/9.34 | | | | | | | | % 59.44/9.34 | | | | | | | End of split % 59.44/9.34 | | | | | | | % 59.44/9.34 | | | | | | Case 2: % 59.44/9.34 | | | | | | | % 59.44/9.34 | | | | | | | (1995) all_24_13 = e13 | all_24_14 = e13 | all_24_15 = e13 % 59.44/9.34 | | | | | | | % 59.44/9.34 | | | | | | | REF_CLOSE: (8), (501), (804), (878), (1069), (1088), (1995) are % 59.44/9.34 | | | | | | | inconsistent by sub-proof #48. % 59.44/9.34 | | | | | | | % 59.44/9.34 | | | | | | End of split % 59.44/9.34 | | | | | | % 59.44/9.34 | | | | | Case 2: % 59.44/9.34 | | | | | | % 59.44/9.34 | | | | | | (1996) ~ (all_16_13 = e10) % 59.44/9.34 | | | | | | (1997) all_16_13 = e13 | all_16_13 = e12 | all_16_13 = e11 % 59.44/9.34 | | | | | | % 59.44/9.34 | | | | | | REDUCE: (773), (1996) imply: % 59.44/9.34 | | | | | | (1998) ~ (all_12_7 = e10) % 59.44/9.34 | | | | | | % 59.44/9.34 | | | | | | BETA: splitting (305) gives: % 59.44/9.34 | | | | | | % 59.44/9.34 | | | | | | Case 1: % 59.44/9.34 | | | | | | | % 59.44/9.34 | | | | | | | (1999) all_24_15 = e10 % 59.44/9.34 | | | | | | | % 59.44/9.34 | | | | | | | REF_CLOSE: (7), (501), (1999) are inconsistent by sub-proof #47. % 59.44/9.34 | | | | | | | % 59.44/9.34 | | | | | | Case 2: % 59.44/9.34 | | | | | | | % 59.44/9.34 | | | | | | | (2000) (all_24_9 = e10 | all_24_10 = e10 | all_24_11 = e10) & % 59.44/9.34 | | | | | | | (all_24_12 = e10 | all_24_13 = e10 | all_24_14 = e10) % 59.44/9.34 | | | | | | | % 59.44/9.34 | | | | | | | ALPHA: (2000) implies: % 59.44/9.34 | | | | | | | (2001) all_24_12 = e10 | all_24_13 = e10 | all_24_14 = e10 % 59.44/9.34 | | | | | | | % 59.44/9.34 | | | | | | | BETA: splitting (2001) gives: % 59.44/9.34 | | | | | | | % 59.44/9.34 | | | | | | | Case 1: % 59.44/9.34 | | | | | | | | % 59.44/9.34 | | | | | | | | (2002) all_24_12 = e10 % 59.44/9.34 | | | | | | | | % 59.44/9.34 | | | | | | | | COMBINE_EQS: (806), (2002) imply: % 59.44/9.34 | | | | | | | | (2003) all_12_3 = e10 % 59.44/9.34 | | | | | | | | % 59.44/9.34 | | | | | | | | SIMP: (2003) implies: % 59.44/9.34 | | | | | | | | (2004) all_12_3 = e10 % 59.44/9.34 | | | | | | | | % 59.44/9.34 | | | | | | | | REDUCE: (108), (2004) imply: % 59.44/9.34 | | | | | | | | (2005) ~ (all_12_0 = e10) % 59.44/9.34 | | | | | | | | % 59.44/9.34 | | | | | | | | REDUCE: (103), (2004) imply: % 59.44/9.34 | | | | | | | | (2006) ~ (all_12_1 = e10) % 59.44/9.34 | | | | | | | | % 59.44/9.34 | | | | | | | | REDUCE: (892), (2004) imply: % 59.44/9.34 | | | | | | | | (2007) h4(e10) = all_28_26 % 59.44/9.34 | | | | | | | | % 59.44/9.34 | | | | | | | | REDUCE: (924), (2004) imply: % 59.44/9.34 | | | | | | | | (2008) h1(e10) = all_28_146 % 59.44/9.34 | | | | | | | | % 59.44/9.34 | | | | | | | | BETA: splitting (306) gives: % 59.44/9.34 | | | | | | | | % 59.44/9.34 | | | | | | | | Case 1: % 59.44/9.34 | | | | | | | | | % 59.44/9.34 | | | | | | | | | (2009) all_24_12 = e13 % 59.44/9.34 | | | | | | | | | % 59.44/9.34 | | | | | | | | | COMBINE_EQS: (2002), (2009) imply: % 59.44/9.34 | | | | | | | | | (2010) e13 = e10 % 59.44/9.34 | | | | | | | | | % 59.44/9.34 | | | | | | | | | REDUCE: (8), (2010) imply: % 59.44/9.34 | | | | | | | | | (2011) $false % 59.44/9.34 | | | | | | | | | % 59.44/9.34 | | | | | | | | | CLOSE: (2011) is inconsistent. % 59.44/9.34 | | | | | | | | | % 59.44/9.34 | | | | | | | | Case 2: % 59.44/9.34 | | | | | | | | | % 59.44/9.34 | | | | | | | | | (2012) all_24_13 = e13 | all_24_14 = e13 | all_24_15 = e13 % 59.44/9.34 | | | | | | | | | % 59.44/9.34 | | | | | | | | | BETA: splitting (1997) gives: % 59.44/9.34 | | | | | | | | | % 59.44/9.34 | | | | | | | | | Case 1: % 59.44/9.34 | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | (2013) all_16_13 = e12 % 59.44/9.34 | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | REF_CLOSE: (773), (868), (2013) are inconsistent by sub-proof % 59.44/9.34 | | | | | | | | | | #46. % 59.44/9.34 | | | | | | | | | | % 59.44/9.34 | | | | | | | | | Case 2: % 59.44/9.34 | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | (2014) all_16_13 = e13 | all_16_13 = e11 % 59.44/9.34 | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | BETA: splitting (2014) gives: % 59.44/9.34 | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | Case 1: % 59.44/9.34 | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | (2015) all_16_13 = e11 % 59.44/9.34 | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | REF_CLOSE: (773), (869), (2015) are inconsistent by sub-proof % 59.44/9.34 | | | | | | | | | | | #45. % 59.44/9.34 | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | Case 2: % 59.44/9.34 | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | (2016) all_16_13 = e13 % 59.44/9.34 | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | COMBINE_EQS: (773), (2016) imply: % 59.44/9.34 | | | | | | | | | | | (2017) all_12_7 = e13 % 59.44/9.34 | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | SIMP: (2017) implies: % 59.44/9.34 | | | | | | | | | | | (2018) all_12_7 = e13 % 59.44/9.34 | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | COMBINE_EQS: (667), (2018) imply: % 59.44/9.34 | | | | | | | | | | | (2019) all_20_5 = e13 % 59.44/9.34 | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | COMBINE_EQS: (805), (2018) imply: % 59.44/9.34 | | | | | | | | | | | (2020) all_24_13 = e13 % 59.44/9.34 | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | REDUCE: (90), (2018) imply: % 59.44/9.34 | | | | | | | | | | | (2021) ~ (all_12_4 = e13) % 59.44/9.34 | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | REDUCE: (893), (2018) imply: % 59.44/9.34 | | | | | | | | | | | (2022) h4(e13) = all_28_29 % 59.44/9.34 | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | REDUCE: (925), (2018) imply: % 59.44/9.34 | | | | | | | | | | | (2023) h1(e13) = all_28_150 % 59.44/9.34 | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | GROUND_INST: instantiating (26) with e20, all_28_146, e10, % 59.44/9.34 | | | | | | | | | | | simplifying with (59), (2008) gives: % 59.44/9.34 | | | | | | | | | | | (2024) all_28_146 = e20 % 59.44/9.34 | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | GROUND_INST: instantiating (26) with e23, all_28_150, e13, % 59.44/9.34 | | | | | | | | | | | simplifying with (1029), (2023) gives: % 59.44/9.34 | | | | | | | | | | | (2025) all_28_150 = e23 % 59.44/9.34 | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | GROUND_INST: instantiating (29) with e23, all_28_26, e10, % 59.44/9.34 | | | | | | | | | | | simplifying with (51), (2007) gives: % 59.44/9.34 | | | | | | | | | | | (2026) all_28_26 = e23 % 59.44/9.34 | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | GROUND_INST: instantiating (29) with all_8_0, all_28_29, e13, % 59.44/9.34 | | | | | | | | | | | simplifying with (54), (2022) gives: % 59.44/9.34 | | | | | | | | | | | (2027) all_28_29 = all_8_0 % 59.44/9.34 | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | BETA: splitting (217) gives: % 59.44/9.34 | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | Case 1: % 59.44/9.34 | | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | | (2028) all_16_4 = e10 % 59.44/9.34 | | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | | COMBINE_EQS: (766), (2028) imply: % 59.44/9.34 | | | | | | | | | | | | (2029) all_12_1 = e10 % 59.44/9.34 | | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | | REDUCE: (2006), (2029) imply: % 59.44/9.34 | | | | | | | | | | | | (2030) $false % 59.44/9.34 | | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | | CLOSE: (2030) is inconsistent. % 59.44/9.34 | | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | Case 2: % 59.44/9.34 | | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | | (2031) ~ (all_16_4 = e10) % 59.44/9.34 | | | | | | | | | | | | (2032) all_16_4 = e13 | all_16_4 = e12 | all_16_4 = e11 % 59.44/9.34 | | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | | BETA: splitting (215) gives: % 59.44/9.34 | | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | | Case 1: % 59.44/9.34 | | | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | | | (2033) all_16_6 = e10 % 59.44/9.34 | | | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | | | COMBINE_EQS: (776), (2033) imply: % 59.44/9.34 | | | | | | | | | | | | | (2034) all_12_9 = e10 % 59.44/9.34 | | | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | | | SIMP: (2034) implies: % 59.44/9.34 | | | | | | | | | | | | | (2035) all_12_9 = e10 % 59.44/9.34 | | | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | | | COMBINE_EQS: (714), (2035) imply: % 59.44/9.34 | | | | | | | | | | | | | (2036) all_20_7 = e10 % 59.44/9.34 | | | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | | | COMBINE_EQS: (651), (2035) imply: % 59.44/9.34 | | | | | | | | | | | | | (2037) all_24_5 = e10 % 59.44/9.34 | | | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | | | REDUCE: (78), (2035) imply: % 59.44/9.34 | | | | | | | | | | | | | (2038) ~ (all_12_8 = e10) % 59.44/9.34 | | | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | | | REDUCE: (74), (2035) imply: % 59.44/9.34 | | | | | | | | | | | | | (2039) ~ (all_12_10 = e10) % 59.44/9.34 | | | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | | | REDUCE: (871), (2035) imply: % 59.44/9.34 | | | | | | | | | | | | | (2040) ~ (e12 = e10) % 59.44/9.34 | | | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | | | REDUCE: (886), (2035) imply: % 59.44/9.34 | | | | | | | | | | | | | (2041) h4(e10) = all_28_13 % 59.44/9.34 | | | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | | | REDUCE: (918), (2035) imply: % 59.44/9.34 | | | | | | | | | | | | | (2042) h1(e10) = all_28_127 % 59.44/9.34 | | | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | | | BETA: splitting (315) gives: % 59.44/9.34 | | | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | | | Case 1: % 59.44/9.34 | | | | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | | | | (2043) all_24_1 = e10 % 59.44/9.34 | | | | | | | | | | | | | | % 59.44/9.34 | | | | | | | | | | | | | | COMBINE_EQS: (809), (2043) imply: % 59.44/9.35 | | | | | | | | | | | | | | (2044) all_12_4 = e10 % 59.44/9.35 | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | SIMP: (2044) implies: % 59.44/9.35 | | | | | | | | | | | | | | (2045) all_12_4 = e10 % 59.44/9.35 | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | COMBINE_EQS: (558), (2045) imply: % 59.44/9.35 | | | | | | | | | | | | | | (2046) all_20_3 = e10 % 59.44/9.35 | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | REDUCE: (92), (2045) imply: % 59.44/9.35 | | | | | | | | | | | | | | (2047) ~ (all_12_5 = e10) % 59.44/9.35 | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | SIMP: (2047) implies: % 59.44/9.35 | | | | | | | | | | | | | | (2048) ~ (all_12_5 = e10) % 59.44/9.35 | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | REDUCE: (89), (2045) imply: % 59.44/9.35 | | | | | | | | | | | | | | (2049) ~ (all_12_8 = e10) % 59.44/9.35 | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | REDUCE: (881), (2045) imply: % 59.44/9.35 | | | | | | | | | | | | | | (2050) h4(e10) = all_28_3 % 59.44/9.35 | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | REDUCE: (913), (2045) imply: % 59.44/9.35 | | | | | | | | | | | | | | (2051) h1(e10) = all_28_112 % 59.44/9.35 | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | GROUND_INST: instantiating (26) with e20, all_28_112, e10, % 59.44/9.35 | | | | | | | | | | | | | | simplifying with (59), (2051) gives: % 59.44/9.35 | | | | | | | | | | | | | | (2052) all_28_112 = e20 % 59.44/9.35 | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | GROUND_INST: instantiating (26) with all_28_127, all_28_112, % 59.44/9.35 | | | | | | | | | | | | | | e10, simplifying with (2042), (2051) gives: % 59.44/9.35 | | | | | | | | | | | | | | (2053) all_28_112 = all_28_127 % 59.44/9.35 | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e23, all_28_3, e10, % 59.44/9.35 | | | | | | | | | | | | | | simplifying with (51), (2050) gives: % 59.44/9.35 | | | | | | | | | | | | | | (2054) all_28_3 = e23 % 59.44/9.35 | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_28_13, all_28_3, e10, % 59.44/9.35 | | | | | | | | | | | | | | simplifying with (2041), (2050) gives: % 59.44/9.35 | | | | | | | | | | | | | | (2055) all_28_3 = all_28_13 % 59.44/9.35 | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | COMBINE_EQS: (2054), (2055) imply: % 59.44/9.35 | | | | | | | | | | | | | | (2056) all_28_13 = e23 % 59.44/9.35 | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | COMBINE_EQS: (2052), (2053) imply: % 59.44/9.35 | | | | | | | | | | | | | | (2057) all_28_127 = e20 % 59.44/9.35 | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | SIMP: (2057) implies: % 59.44/9.35 | | | | | | | | | | | | | | (2058) all_28_127 = e20 % 59.44/9.35 | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | BETA: splitting (219) gives: % 59.44/9.35 | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | Case 1: % 59.44/9.35 | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | (2059) all_16_2 = e10 % 59.44/9.35 | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | COMBINE_EQS: (775), (2059) imply: % 59.44/9.35 | | | | | | | | | | | | | | | (2060) all_12_8 = e10 % 59.44/9.35 | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | SIMP: (2060) implies: % 59.44/9.35 | | | | | | | | | | | | | | | (2061) all_12_8 = e10 % 59.44/9.35 | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | REDUCE: (2038), (2061) imply: % 59.44/9.35 | | | | | | | | | | | | | | | (2062) $false % 59.44/9.35 | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | CLOSE: (2062) is inconsistent. % 59.44/9.35 | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | Case 2: % 59.44/9.35 | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | (2063) ~ (all_16_2 = e10) % 59.44/9.35 | | | | | | | | | | | | | | | (2064) all_16_2 = e13 | all_16_2 = e12 | all_16_2 = e11 % 59.44/9.35 | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | BETA: splitting (240) gives: % 59.44/9.35 | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | Case 1: % 59.44/9.35 | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | (2065) all_18_11 = e20 % 59.44/9.35 | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | COMBINE_EQS: (760), (2065) imply: % 59.44/9.35 | | | | | | | | | | | | | | | | (2066) all_14_14 = e20 % 59.44/9.35 | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | SIMP: (2066) implies: % 59.44/9.35 | | | | | | | | | | | | | | | | (2067) all_14_14 = e20 % 59.44/9.35 | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | COMBINE_EQS: (694), (2067) imply: % 59.44/9.35 | | | | | | | | | | | | | | | | (2068) all_22_13 = e20 % 59.44/9.35 | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | COMBINE_EQS: (583), (2067) imply: % 59.44/9.35 | | | | | | | | | | | | | | | | (2069) all_26_11 = e20 % 59.44/9.35 | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | COMBINE_EQS: (988), (2067) imply: % 59.44/9.35 | | | | | | | | | | | | | | | | (2070) all_28_141 = e20 % 59.44/9.35 | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | REDUCE: (161), (2067) imply: % 59.44/9.35 | | | | | | | | | | | | | | | | (2071) ~ (all_14_2 = e20) % 59.44/9.35 | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | REDUCE: (146), (2067) imply: % 59.44/9.35 | | | | | | | | | | | | | | | | (2072) ~ (all_14_6 = e20) % 59.44/9.35 | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | REDUCE: (132), (2067) imply: % 59.44/9.35 | | | | | | | | | | | | | | | | (2073) ~ (all_14_12 = e20) % 59.44/9.35 | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | REDUCE: (856), (2067) imply: % 59.44/9.35 | | | | | | | | | | | | | | | | (2074) ~ (all_4_2 = e20) % 59.44/9.35 | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | SIMP: (2074) implies: % 59.44/9.35 | | | | | | | | | | | | | | | | (2075) ~ (all_4_2 = e20) % 59.44/9.35 | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | REDUCE: (861), (2067) imply: % 59.44/9.35 | | | | | | | | | | | | | | | | (2076) ~ (e23 = e20) % 59.44/9.35 | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | REDUCE: (863), (2067) imply: % 59.44/9.35 | | | | | | | | | | | | | | | | (2077) ~ (e21 = e20) % 59.44/9.35 | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | REDUCE: (180), (2067) imply: % 59.44/9.35 | | | | | | | | | | | | | | | | (2078) op2(e21, e20) = e20 % 59.44/9.35 | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | BETA: splitting (341) gives: % 59.44/9.35 | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | Case 1: % 59.44/9.35 | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | (2079) all_26_9 = e22 % 59.44/9.35 | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | COMBINE_EQS: (610), (2079) imply: % 59.44/9.35 | | | | | | | | | | | | | | | | | (2080) all_14_12 = e22 % 59.44/9.35 | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | SIMP: (2080) implies: % 59.44/9.35 | | | | | | | | | | | | | | | | | (2081) all_14_12 = e22 % 59.44/9.35 | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | COMBINE_EQS: (691), (2081) imply: % 59.44/9.35 | | | | | | | | | | | | | | | | | (2082) all_22_9 = e22 % 59.44/9.35 | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | COMBINE_EQS: (1040), (2081) imply: % 59.44/9.35 | | | | | | | | | | | | | | | | | (2083) all_28_117 = e22 % 59.44/9.35 | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | REDUCE: (153), (2081) imply: % 59.44/9.35 | | | | | | | | | | | | | | | | | (2084) ~ (all_14_4 = e22) % 59.44/9.35 | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | REDUCE: (832), (2081) imply: % 59.44/9.35 | | | | | | | | | | | | | | | | | (2085) ~ (all_8_2 = e22) % 59.44/9.35 | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | SIMP: (2085) implies: % 59.44/9.35 | | | | | | | | | | | | | | | | | (2086) ~ (all_8_2 = e22) % 59.44/9.35 | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | REDUCE: (858), (2081) imply: % 59.44/9.35 | | | | | | | | | | | | | | | | | (2087) ~ (e23 = e22) % 59.44/9.35 | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | REDUCE: (188), (2081) imply: % 59.44/9.35 | | | | | | | | | | | | | | | | | (2088) op2(e23, e20) = e22 % 59.44/9.35 | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | BETA: splitting (238) gives: % 59.44/9.35 | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.35 | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | (2089) all_18_13 = e20 % 59.44/9.35 | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (746), (2089) imply: % 59.44/9.35 | | | | | | | | | | | | | | | | | | (2090) all_14_7 = e20 % 59.44/9.35 | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (577), (2090) imply: % 59.44/9.35 | | | | | | | | | | | | | | | | | | (2091) all_26_13 = e20 % 59.44/9.35 | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | REDUCE: (160), (2090) imply: % 59.44/9.35 | | | | | | | | | | | | | | | | | | (2092) ~ (all_14_3 = e20) % 59.44/9.35 | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | REDUCE: (842), (2090) imply: % 59.44/9.35 | | | | | | | | | | | | | | | | | | (2093) ~ (all_6_2 = e20) % 59.44/9.35 | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | SIMP: (2093) implies: % 59.44/9.35 | | | | | | | | | | | | | | | | | | (2094) ~ (all_6_2 = e20) % 59.44/9.35 | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | REDUCE: (847), (2090) imply: % 59.44/9.35 | | | | | | | | | | | | | | | | | | (2095) ~ (e22 = e20) % 59.44/9.35 | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | REDUCE: (178), (2090) imply: % 59.44/9.35 | | | | | | | | | | | | | | | | | | (2096) op2(e20, e22) = e20 % 59.44/9.35 | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | BETA: splitting (340) gives: % 59.44/9.35 | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.35 | | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | | (2097) all_26_12 = e23 % 59.44/9.35 | | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (580), (2097) imply: % 59.44/9.35 | | | | | | | | | | | | | | | | | | | (2098) all_14_3 = e23 % 59.44/9.35 | | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | | SIMP: (2098) implies: % 59.44/9.35 | | | | | | | | | | | | | | | | | | | (2099) all_14_3 = e23 % 59.44/9.35 | | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (697), (2099) imply: % 59.44/9.35 | | | | | | | | | | | | | | | | | | | (2100) all_22_2 = e23 % 59.44/9.35 | | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | | REDUCE: (164), (2099) imply: % 59.44/9.35 | | | | | | | | | | | | | | | | | | | (2101) ~ (all_14_2 = e23) % 59.44/9.35 | | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | | REDUCE: (826), (2099) imply: % 59.44/9.35 | | | | | | | | | | | | | | | | | | | (2102) ~ (all_8_2 = e23) % 59.44/9.35 | | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | | SIMP: (2102) implies: % 59.44/9.35 | | | | | | | | | | | | | | | | | | | (2103) ~ (all_8_2 = e23) % 59.44/9.35 | | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | | REDUCE: (179), (2099) imply: % 59.44/9.35 | | | | | | | | | | | | | | | | | | | (2104) op2(e20, e23) = e23 % 59.44/9.35 | | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | | BETA: splitting (286) gives: % 59.44/9.35 | | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | (2105) (all_22_10 = e23 & ( ~ (all_22_12 = e23) | % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | all_22_0 = e22) & ( ~ (all_22_14 = e23) | % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | all_22_1 = e21) & ( ~ (all_22_15 = e23) | % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | all_22_2 = e20)) | (all_22_12 = e22 & ( ~ % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | (all_22_10 = e22) | all_22_3 = e23) & ( ~ % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | (all_22_14 = e22) | all_22_4 = e21) & ( ~ % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | (all_22_15 = e22) | all_22_5 = e20)) % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | BETA: splitting (2105) gives: % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | (2106) all_22_10 = e23 & ( ~ (all_22_12 = e23) | all_22_0 % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | = e22) & ( ~ (all_22_14 = e23) | all_22_1 = e21) % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | & ( ~ (all_22_15 = e23) | all_22_2 = e20) % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (673), (2103), (2106) are inconsistent by % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | sub-proof #92. % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | (2107) all_22_12 = e22 & ( ~ (all_22_10 = e22) | all_22_3 % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | = e23) & ( ~ (all_22_14 = e22) | all_22_4 = e21) % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | & ( ~ (all_22_15 = e22) | all_22_5 = e20) % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | ALPHA: (2107) implies: % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | (2108) all_22_12 = e22 % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (679), (2108) imply: % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | (2109) all_6_2 = e22 % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | SIMP: (2109) implies: % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | (2110) all_6_2 = e22 % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | REDUCE: (833), (2110) imply: % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | (2111) ~ (all_14_1 = e22) % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | REDUCE: (947), (2110) imply: % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | (2112) op2(e22, e22) = all_28_56 % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | REDUCE: (948), (2110) imply: % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | (2113) op2(e22, e22) = all_28_58 % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | REDUCE: (42), (2110) imply: % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | (2114) op2(e22, e22) = all_6_1 % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | REDUCE: (41), (2110) imply: % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | (2115) op2(e22, e22) = e22 % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (343) gives: % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | (2116) all_26_6 = e22 % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (593), (2116) imply: % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | (2117) all_14_2 = e22 % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | SIMP: (2117) implies: % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | (2118) all_14_2 = e22 % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (685), (2118) imply: % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | (2119) all_22_1 = e22 % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (163), (2118) imply: % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | (2120) ~ (all_14_6 = e22) % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | SIMP: (2120) implies: % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | (2121) ~ (all_14_6 = e22) % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (835), (2118) imply: % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | (2122) ~ (all_4_2 = e22) % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (183), (2118) imply: % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | (2123) op2(e21, e23) = e22 % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (287) gives: % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | (2124) (all_22_0 = e22 & all_22_14 = e23 & ~ (all_22_1 = % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_12 = e23)) | (all_22_0 = e22 % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | & all_22_15 = e23 & ~ (all_22_2 = e20) & ~ % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e23)) | (all_22_1 = e21 & all_22_12 % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | = e23 & ~ (all_22_0 = e22) & ~ (all_22_14 = % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | e23)) | (all_22_1 = e21 & all_22_15 = e23 & ~ % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | (all_22_2 = e20) & ~ (all_22_14 = e23)) | % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | (all_22_2 = e20 & all_22_12 = e23 & ~ (all_22_0 = % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_15 = e23)) | (all_22_2 = e20 % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | & all_22_14 = e23 & ~ (all_22_1 = e21) & ~ % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e23)) | (all_22_3 = e23 & all_22_14 % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | = e22 & ~ (all_22_4 = e21) & ~ (all_22_10 = % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | e22)) | (all_22_3 = e23 & all_22_15 = e22 & ~ % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | (all_22_5 = e20) & ~ (all_22_10 = e22)) | % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | (all_22_4 = e21 & all_22_10 = e22 & ~ (all_22_3 = % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_14 = e22)) | (all_22_4 = e21 % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | & all_22_15 = e22 & ~ (all_22_5 = e20) & ~ % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e22)) | (all_22_5 = e20 & all_22_10 % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | = e22 & ~ (all_22_3 = e23) & ~ (all_22_15 = % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | e22)) | (all_22_5 = e20 & all_22_14 = e22 & ~ % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | (all_22_4 = e21) & ~ (all_22_15 = e22)) % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2124) gives: % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | (2125) (all_22_0 = e22 & all_22_14 = e23 & ~ (all_22_1 = % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_12 = e23)) | (all_22_0 = e22 % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | & all_22_15 = e23 & ~ (all_22_2 = e20) & ~ % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e23)) | (all_22_1 = e21 & all_22_12 % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | = e23 & ~ (all_22_0 = e22) & ~ (all_22_14 = % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | e23)) | (all_22_1 = e21 & all_22_15 = e23 & ~ % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | (all_22_2 = e20) & ~ (all_22_14 = e23)) | % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | (all_22_2 = e20 & all_22_12 = e23 & ~ (all_22_0 = % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_15 = e23)) | (all_22_2 = e20 % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | & all_22_14 = e23 & ~ (all_22_1 = e21) & ~ % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e23)) % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2125) gives: % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | (2126) (all_22_0 = e22 & all_22_14 = e23 & ~ (all_22_1 = % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_12 = e23)) | (all_22_0 = e22 % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_15 = e23 & ~ (all_22_2 = e20) & ~ % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e23)) | (all_22_1 = e21 & all_22_12 % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | = e23 & ~ (all_22_0 = e22) & ~ (all_22_14 = % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | e23)) % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2126) gives: % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | | (2127) all_22_0 = e22 & all_22_14 = e23 & ~ (all_22_1 = % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_12 = e23) % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (677), (2111), (2127) are inconsistent by % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #44. % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | | (2128) (all_22_0 = e22 & all_22_15 = e23 & ~ (all_22_2 = % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_12 = e23)) | (all_22_1 = e21 % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_12 = e23 & ~ (all_22_0 = e22) & ~ % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e23)) % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2128) gives: % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2129) all_22_0 = e22 & all_22_15 = e23 & ~ (all_22_2 = % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_12 = e23) % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (568), (862), (2129) are inconsistent by sub-proof % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | #161. % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2130) all_22_1 = e21 & all_22_12 = e23 & ~ (all_22_0 = % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_14 = e23) % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2130) implies: % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2131) all_22_1 = e21 % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (857), (2119), (2131) are inconsistent by % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #143. % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | (2132) (all_22_1 = e21 & all_22_15 = e23 & ~ (all_22_2 = % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_14 = e23)) | (all_22_2 = e20 % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_12 = e23 & ~ (all_22_0 = e22) & ~ % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e23)) | (all_22_2 = e20 & all_22_14 % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | = e23 & ~ (all_22_1 = e21) & ~ (all_22_15 = % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | e23)) % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2132) gives: % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | | (2133) all_22_1 = e21 & all_22_15 = e23 & ~ (all_22_2 = % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_14 = e23) % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2133) implies: % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | | (2134) all_22_1 = e21 % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (857), (2119), (2134) are inconsistent by % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #143. % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | | (2135) (all_22_2 = e20 & all_22_12 = e23 & ~ (all_22_0 = % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_15 = e23)) | (all_22_2 = e20 % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_14 = e23 & ~ (all_22_1 = e21) & ~ % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e23)) % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2135) gives: % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2136) all_22_2 = e20 & all_22_12 = e23 & ~ (all_22_0 = % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_15 = e23) % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2136) implies: % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2137) all_22_12 = e23 % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2138) all_22_2 = e20 % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2100), (2138) imply: % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2139) e23 = e20 % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2139) implies: % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2140) e23 = e20 % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2108), (2137) imply: % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2141) e23 = e22 % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2140), (2141) imply: % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2142) e22 = e20 % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (2142) imply: % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2143) $false % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2143) is inconsistent. % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2144) all_22_2 = e20 & all_22_14 = e23 & ~ (all_22_1 = % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_15 = e23) % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (2100), (2144) are inconsistent by sub-proof % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | #91. % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.35 | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | (2145) (all_22_3 = e23 & all_22_14 = e22 & ~ (all_22_4 = % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_10 = e22)) | (all_22_3 = e23 % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | & all_22_15 = e22 & ~ (all_22_5 = e20) & ~ % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e22)) | (all_22_4 = e21 & all_22_10 % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | = e22 & ~ (all_22_3 = e23) & ~ (all_22_14 = % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | e22)) | (all_22_4 = e21 & all_22_15 = e22 & ~ % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | (all_22_5 = e20) & ~ (all_22_14 = e22)) | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | (all_22_5 = e20 & all_22_10 = e22 & ~ (all_22_3 = % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_15 = e22)) | (all_22_5 = e20 % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | & all_22_14 = e22 & ~ (all_22_4 = e21) & ~ % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e22)) % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (568), (585), (673), (854), (857), (2086), (2145) % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #87. % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | (2146) (all_22_6 = e23 & all_22_12 = e21 & ~ (all_22_7 = % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_10 = e21)) | (all_22_6 = e23 % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | & all_22_15 = e21 & ~ (all_22_8 = e20) & ~ % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e21)) | (all_22_7 = e22 & all_22_10 % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | = e21 & ~ (all_22_6 = e23) & ~ (all_22_12 = % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | e21)) | (all_22_7 = e22 & all_22_15 = e21 & ~ % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | (all_22_8 = e20) & ~ (all_22_12 = e21)) | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | (all_22_8 = e20 & all_22_10 = e21 & ~ (all_22_6 = % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_15 = e21)) | (all_22_8 = e20 % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | & all_22_12 = e21 & ~ (all_22_7 = e22) & ~ % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e21)) | (all_22_9 = e23 & all_22_12 % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | = e20 & ~ (all_22_10 = e20) & ~ (all_22_11 = % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | e22)) | (all_22_9 = e23 & all_22_14 = e20 & ~ % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e20) & ~ (all_22_13 = e21)) | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e20 & all_22_11 = e22 & ~ (all_22_9 % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_22_12 = e20)) | (all_22_10 = % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | e20 & all_22_13 = e21 & ~ (all_22_9 = e23) & ~ % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e20)) | (all_22_11 = e22 & % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | all_22_14 = e20 & ~ (all_22_12 = e20) & ~ % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | (all_22_13 = e21)) | (all_22_12 = e20 & % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | all_22_13 = e21 & ~ (all_22_11 = e22) & ~ % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e20)) % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2146) gives: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | (2147) (all_22_6 = e23 & all_22_12 = e21 & ~ (all_22_7 = % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_10 = e21)) | (all_22_6 = e23 % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | & all_22_15 = e21 & ~ (all_22_8 = e20) & ~ % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e21)) | (all_22_7 = e22 & all_22_10 % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | = e21 & ~ (all_22_6 = e23) & ~ (all_22_12 = % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | e21)) | (all_22_7 = e22 & all_22_15 = e21 & ~ % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | (all_22_8 = e20) & ~ (all_22_12 = e21)) | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | (all_22_8 = e20 & all_22_10 = e21 & ~ (all_22_6 = % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_15 = e21)) | (all_22_8 = e20 % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | & all_22_12 = e21 & ~ (all_22_7 = e22) & ~ % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e21)) % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2147) gives: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | (2148) (all_22_6 = e23 & all_22_12 = e21 & ~ (all_22_7 = % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_10 = e21)) | (all_22_6 = e23 % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_15 = e21 & ~ (all_22_8 = e20) & ~ % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e21)) | (all_22_7 = e22 & all_22_10 % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | = e21 & ~ (all_22_6 = e23) & ~ (all_22_12 = % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | e21)) % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2148) gives: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (2149) all_22_6 = e23 & all_22_12 = e21 & ~ (all_22_7 = % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_10 = e21) % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (857), (2108), (2149) are inconsistent by % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #136. % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (2150) (all_22_6 = e23 & all_22_15 = e21 & ~ (all_22_8 = % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_10 = e21)) | (all_22_7 = e22 % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_10 = e21 & ~ (all_22_6 = e23) & ~ % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e21)) % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2150) gives: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2151) all_22_6 = e23 & all_22_15 = e21 & ~ (all_22_8 = % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_10 = e21) % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2151) implies: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2152) all_22_6 = e23 % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2153) ~ (all_22_10 = e21) % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (681), (2152) imply: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2154) all_14_8 = e23 % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2154) implies: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2155) all_14_8 = e23 % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (613), (2155) imply: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2156) all_26_4 = e23 % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (673), (2153) imply: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2157) ~ (all_8_2 = e21) % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (2155) imply: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2158) ~ (all_14_9 = e23) % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (849), (2155) imply: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2159) ~ (all_4_2 = e23) % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2159) implies: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2160) ~ (all_4_2 = e23) % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (189), (2155) imply: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2161) op2(e23, e21) = e23 % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (345) gives: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2162) all_26_4 = e20 % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (2156), (2162) are inconsistent by sub-proof % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #81. % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2163) all_26_5 = e20 | all_26_8 = e20 | all_26_14 = e20 % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2164) all_18_10 = e20 % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (762), (2164) imply: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2165) all_4_2 = e20 % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2075), (2165) imply: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2166) $false % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2166) is inconsistent. % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2167) ~ (all_18_10 = e20) % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2168) all_18_10 = e23 | all_18_10 = e22 | all_18_10 = % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21 % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2168) gives: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2169) all_18_10 = e22 % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (762), (2169) imply: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2170) all_4_2 = e22 % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (854), (2170) imply: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2171) $false % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2171) is inconsistent. % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2172) all_18_10 = e23 | all_18_10 = e21 % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (249) gives: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2173) all_18_0 = e20 % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (754), (2173) imply: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2174) all_8_2 = e20 % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2174) implies: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2175) all_8_2 = e20 % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1006), (2175) imply: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2176) all_28_35 = e20 % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (994), (2175) imply: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2177) all_28_33 = e20 % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (633), (2175) imply: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2178) all_28_31 = e20 % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (822), (2175) imply: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2179) ~ (all_14_1 = e20) % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (828), (2175) imply: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2180) ~ (all_14_4 = e20) % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (52), (2175) imply: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2181) h4(e11) = e20 % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (931), (2175) imply: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2182) op2(all_8_0, e20) = all_28_4 % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (935), (2175) imply: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2183) op2(all_8_1, e20) = all_28_12 % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (937), (2175) imply: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2184) op2(e20, all_8_0) = all_28_16 % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (938), (2175) imply: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2185) op2(e20, all_8_1) = all_28_18 % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (939), (2175) imply: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2186) op2(e20, e20) = all_28_20 % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (940), (2175) imply: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2187) op2(e20, e23) = all_28_22 % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (49), (2175) imply: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2188) op2(e23, e20) = all_8_1 % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2189) all_18_4 = e20 % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (738), (2179), (2189) are inconsistent by % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #77. % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2190) all_18_4 = e23 | all_18_4 = e22 | all_18_4 = e21 % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2190) gives: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2191) all_18_4 = e22 % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (738), (2111), (2191) are inconsistent by % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #43. % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2192) all_18_4 = e23 | all_18_4 = e21 % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2192) gives: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2193) all_18_4 = e21 % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (738), (2193) imply: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2194) all_14_1 = e21 % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2194) implies: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2195) all_14_1 = e21 % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (187), (2195) imply: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2196) op2(e22, e23) = e21 % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2197) all_18_6 = e20 % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (748), (2197) imply: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2198) all_14_9 = e20 % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (185), (2198) imply: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2199) op2(e22, e21) = e20 % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (248) gives: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2200) all_18_1 = e20 % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (743), (2200) imply: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2201) all_14_4 = e20 % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2201) implies: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2202) all_14_4 = e20 % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2180), (2202) imply: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2203) $false % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2203) is inconsistent. % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2204) all_18_1 = e23 | all_18_1 = e22 | all_18_1 = e21 % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2172) gives: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2205) all_18_10 = e21 % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (762), (2205) imply: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2206) all_4_2 = e21 % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (846), (2206) imply: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2207) ~ (all_14_6 = e21) % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (954), (2206) imply: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2208) op2(all_4_0, e21) = all_28_76 % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (960), (2206) imply: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2209) op2(e21, all_4_0) = all_28_88 % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (962), (2206) imply: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2210) op2(e21, e21) = all_28_92 % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (963), (2206) imply: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2211) op2(e21, e21) = all_28_94 % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (34), (2206) imply: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2212) op2(e21, e21) = all_4_1 % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (33), (2206) imply: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2213) op2(e21, e21) = e21 % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2214) all_18_9 = e20 % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (744), (2214) imply: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2215) all_14_6 = e20 % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2072), (2215) imply: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2216) $false % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2216) is inconsistent. % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2217) all_18_9 = e23 | all_18_9 = e22 | all_18_9 = e21 % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2217) gives: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2218) all_18_9 = e22 % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (744), (2218) imply: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2219) all_14_6 = e22 % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2121), (2219) imply: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2220) $false % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2220) is inconsistent. % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2221) all_18_9 = e23 | all_18_9 = e21 % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2221) gives: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2222) all_18_9 = e21 % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (744), (2222) imply: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2223) all_14_6 = e21 % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2207), (2223) imply: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2224) $false % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2224) is inconsistent. % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2225) all_18_9 = e23 % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (744), (2225) imply: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2226) all_14_6 = e23 % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (156), (2226) imply: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2227) ~ (all_14_4 = e23) % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (182), (2226) imply: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2228) op2(e21, e22) = e23 % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2204) gives: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2229) all_18_1 = e22 % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (743), (2229) imply: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2230) all_14_4 = e22 % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2230) implies: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2231) all_14_4 = e22 % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2084), (2231) imply: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2232) $false % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2232) is inconsistent. % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2233) all_18_1 = e23 | all_18_1 = e21 % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2233) gives: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2234) all_18_1 = e21 % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (743), (2234) imply: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2235) all_14_4 = e21 % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2235) implies: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2236) all_14_4 = e21 % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (190), (2236) imply: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2237) op2(e23, e22) = e21 % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with e21, all_28_20, e20, e20, % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (18), (2186) gives: % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2238) all_28_20 = e21 % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with e23, all_28_22, e23, e20, % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2104), (2187) gives: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2239) all_28_22 = e23 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_28_94, all_28_92, e21, % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21, simplifying with (2210), (2211) gives: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2240) all_28_92 = all_28_94 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_4_1, all_28_92, e21, % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21, simplifying with (2210), (2212) gives: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2241) all_28_92 = all_4_1 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with e21, all_28_92, e21, e21, % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2210), (2213) gives: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2242) all_28_92 = e21 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_28_96, all_28_88, % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_0, e21, simplifying with (964), (2209) % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2243) all_28_88 = all_28_96 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with e22, all_28_58, e22, e22, % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2113), (2115) gives: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2244) all_28_58 = e22 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_28_58, all_28_56, e22, % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22, simplifying with (2112), (2113) gives: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2245) all_28_56 = all_28_58 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_6_1, all_28_56, e22, % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22, simplifying with (2112), (2114) gives: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2246) all_28_56 = all_6_1 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with e22, all_8_1, e20, e23, % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2088), (2188) gives: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2247) all_8_1 = e22 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_28_78, all_28_76, e21, % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_0, simplifying with (955), (2208) gives: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2248) all_28_76 = all_28_78 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2245), (2246) imply: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2249) all_28_58 = all_6_1 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2249) implies: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2250) all_28_58 = all_6_1 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2244), (2250) imply: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2251) all_6_1 = e22 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2240), (2242) imply: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2252) all_28_94 = e21 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2240), (2241) imply: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2253) all_28_94 = all_4_1 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2252), (2253) imply: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2254) all_4_1 = e21 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1007), (2247) imply: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2255) all_28_32 = e22 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (995), (2247) imply: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2256) all_28_30 = e22 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (634), (2247) imply: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2257) all_28_28 = e22 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1080), (2247) imply: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2258) all_28_7 = e22 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (53), (2247) imply: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2259) h4(e12) = e22 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (930), (2247) imply: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2260) op2(all_8_0, e22) = all_28_2 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (933), (2247) imply: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2261) op2(e22, all_8_0) = all_28_8 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (934), (2247) imply: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2262) op2(e22, e22) = all_28_10 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (50), (2247) imply: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2263) op2(e22, e23) = all_8_0 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2183), (2247) imply: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2264) op2(e22, e20) = all_28_12 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (957), (2254) imply: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2265) op2(e21, e21) = all_28_82 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (35), (2254) imply: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2266) op2(e21, e21) = all_4_0 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (942), (2247) imply: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2267) op2(e23, e22) = all_28_27 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (965), (2254) imply: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2268) op2(e21, e21) = all_28_99 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2185), (2247) imply: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2269) op2(e20, e22) = all_28_18 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with e20, all_28_18, e22, e20, % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2096), (2269) gives: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2270) all_28_18 = e20 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with e21, all_28_99, e21, e21, % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2213), (2268) gives: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2271) all_28_99 = e21 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_28_99, all_28_82, e21, % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21, simplifying with (2265), (2268) gives: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2272) all_28_82 = all_28_99 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_4_0, all_28_82, e21, % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21, simplifying with (2265), (2266) gives: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2273) all_28_82 = all_4_0 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with e23, all_28_12, e20, e22, % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (20), (2264) gives: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2274) all_28_12 = e23 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with e22, all_28_10, e22, e22, % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2115), (2262) gives: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2275) all_28_10 = e22 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with e21, all_8_0, e23, e22, % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2196), (2263) gives: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2276) all_8_0 = e21 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with e21, all_28_27, e22, e23, % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2237), (2267) gives: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2277) all_28_27 = e21 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2272), (2273) imply: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2278) all_28_99 = all_4_0 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2278) implies: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2279) all_28_99 = all_4_0 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2271), (2279) imply: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2280) all_4_0 = e21 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2280) implies: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2281) all_4_0 = e21 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2027), (2276) imply: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2282) all_28_29 = e21 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (635), (2276) imply: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2283) all_28_25 = e21 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1008), (2276) imply: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2284) all_28_15 = e21 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (998), (2276) imply: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2285) all_28_14 = e21 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (54), (2276) imply: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2286) h4(e13) = e21 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (929), (2276) imply: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2287) op2(e21, e21) = all_28_0 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (932), (2276) imply: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2288) op2(e21, e23) = all_28_6 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2260), (2276) imply: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2289) op2(e21, e22) = all_28_2 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2182), (2276) imply: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2290) op2(e21, e20) = all_28_4 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (952), (2281) imply: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2291) op2(e21, e21) = all_28_72 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (955), (2281) imply: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2292) op2(e21, e21) = all_28_78 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (941), (2276) imply: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2293) op2(e23, e21) = all_28_24 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2261), (2276) imply: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2294) op2(e22, e21) = all_28_8 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (964), (2281) imply: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2295) op2(e21, e21) = all_28_96 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2184), (2276) imply: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2296) op2(e20, e21) = all_28_16 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with e22, all_28_16, e21, e20, % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (19), (2296) gives: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2297) all_28_16 = e22 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with e20, all_28_4, e20, e21, % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2078), (2290) gives: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2298) all_28_4 = e20 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with e21, all_28_72, e21, e21, % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2213), (2291) gives: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2299) all_28_72 = e21 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_28_78, all_28_72, e21, % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21, simplifying with (2291), (2292) gives: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2300) all_28_72 = all_28_78 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_28_72, all_28_0, e21, % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21, simplifying with (2287), (2291) gives: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2301) all_28_0 = all_28_72 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_28_96, all_28_0, e21, % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21, simplifying with (2287), (2295) gives: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2302) all_28_0 = all_28_96 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with e23, all_28_2, e22, e21, % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2228), (2289) gives: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2303) all_28_2 = e23 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with e22, all_28_6, e23, e21, % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2123), (2288) gives: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2304) all_28_6 = e22 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with e20, all_28_8, e21, e22, % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2199), (2294) gives: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2305) all_28_8 = e20 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with e23, all_28_24, e21, e23, % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2161), (2293) gives: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2306) all_28_24 = e23 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2301), (2302) imply: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2307) all_28_72 = all_28_96 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2307) implies: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2308) all_28_72 = all_28_96 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2299), (2300) imply: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2309) all_28_78 = e21 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2300), (2308) imply: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2310) all_28_78 = all_28_96 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2309), (2310) imply: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2311) all_28_96 = e21 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2311) implies: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2312) all_28_96 = e21 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2302), (2312) imply: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2313) all_28_0 = e21 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (267) gives: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2314) (all_20_10 = e13 & ( ~ (all_20_12 = e13) | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_20_0 = e12) & ( ~ (all_20_14 = e13) | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_20_1 = e11) & ( ~ (all_20_15 = e13) | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_20_2 = e10)) | (all_20_12 = e12 & ( ~ % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_10 = e12) | all_20_3 = e13) & ( ~ % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_14 = e12) | all_20_4 = e11) & ( ~ % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e12) | all_20_5 = e10)) % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2314) gives: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2315) all_20_10 = e13 & ( ~ (all_20_12 = e13) | all_20_0 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e12) & ( ~ (all_20_14 = e13) | all_20_1 = e11) % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ( ~ (all_20_15 = e13) | all_20_2 = e10) % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2315) implies: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2316) all_20_10 = e13 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2317) ~ (all_20_14 = e13) | all_20_1 = e11 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (636), (2316) imply: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2318) all_12_0 = e13 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2318) implies: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2319) all_12_0 = e13 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (106), (2319) imply: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2320) ~ (all_12_8 = e13) % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2320) implies: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2321) ~ (all_12_8 = e13) % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (77), (268), (501), (505), (711), (713), (717), % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (721), (725), (775), (787), (803), (804), (867), % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (870), (873), (1046), (1049), (1065), (1071), % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1084), (2012), (2019), (2020), (2036), (2038), % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2046), (2064), (2316), (2317), (2321) are % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #31. % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2322) all_20_12 = e12 & ( ~ (all_20_10 = e12) | all_20_3 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ( ~ (all_20_14 = e12) | all_20_4 = e11) % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ( ~ (all_20_15 = e12) | all_20_5 = e10) % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2322) implies: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2323) all_20_12 = e12 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (711), (2323) imply: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2324) all_12_5 = e12 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2324) implies: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2325) all_12_5 = e12 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (648), (2325) imply: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2326) all_24_3 = e12 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (102), (2325) imply: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2327) ~ (all_12_1 = e12) % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (885), (2325) imply: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2328) h4(e12) = all_28_11 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (309) gives: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2329) all_24_6 = e12 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (655), (2329) imply: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2330) all_12_2 = e12 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2330) implies: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2331) all_12_2 = e12 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (888), (2331) imply: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2332) h4(e12) = all_28_17 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (316) gives: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2333) all_24_1 = e11 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2043), (2333) imply: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2334) e11 = e10 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (2334) imply: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2335) $false % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2335) is inconsistent. % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2336) all_24_3 = e11 | all_24_7 = e11 | all_24_13 = e11 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2336) gives: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2337) all_24_3 = e11 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2326), (2337) imply: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2338) e12 = e11 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1070), (2338) imply: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2339) $false % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2339) is inconsistent. % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2340) all_24_7 = e11 | all_24_13 = e11 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (321) gives: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2341) all_24_0 = e13 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (810), (2341) imply: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2342) all_12_0 = e13 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2342) implies: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2343) all_12_0 = e13 % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (2343) imply: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2344) ~ (all_12_1 = e13) % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (106), (2343) imply: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2345) ~ (all_12_8 = e13) % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2345) implies: % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2346) ~ (all_12_8 = e13) % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (880), (2343) imply: % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2347) h4(e13) = all_28_1 % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (314) gives: % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2348) all_24_2 = e11 % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (646), (2348) imply: % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2349) all_12_1 = e11 % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (864), (2349) imply: % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2350) ~ (e13 = e11) % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (884), (2349) imply: % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2351) h4(e11) = all_28_9 % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (312) gives: % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2352) all_24_4 = e13 % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (641), (2352) imply: % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2353) all_12_8 = e13 % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2346), (2353) imply: % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2354) $false % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2354) is inconsistent. % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2355) ~ (all_24_4 = e13) % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2356) all_24_5 = e13 | all_24_8 = e13 | all_24_14 = e13 % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2356) gives: % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2357) all_24_5 = e13 % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2037), (2357) imply: % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2358) e13 = e10 % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (501), (804), (878), (1069), (2012), (2020), % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2358) are inconsistent by sub-proof #32. % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2359) all_24_8 = e13 | all_24_14 = e13 % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2340) gives: % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2360) all_24_7 = e11 % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (808), (2360) imply: % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2361) all_12_6 = e11 % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2361) implies: % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2362) all_12_6 = e11 % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (889), (2362) imply: % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2363) h4(e11) = all_28_19 % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (311) gives: % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2364) all_24_4 = e11 % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (641), (2364) imply: % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2365) all_12_8 = e11 % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (882), (2365) imply: % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2366) h4(e11) = all_28_5 % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2359) gives: % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2367) all_24_8 = e13 % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (521), (2367) imply: % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2368) all_12_10 = e13 % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2368) implies: % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2369) all_12_10 = e13 % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (890), (2369) imply: % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2370) h4(e13) = all_28_21 % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e20, all_28_9, e11, % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2181), (2351) gives: % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2371) all_28_9 = e20 % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_28_9, all_28_5, e11, % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2351), (2366) gives: % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2372) all_28_5 = all_28_9 % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_28_19, all_28_5, e11, % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2363), (2366) gives: % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2373) all_28_5 = all_28_19 % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e22, all_28_11, e12, % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2259), (2328) gives: % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2374) all_28_11 = e22 % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_28_17, all_28_11, e12, % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2328), (2332) gives: % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2375) all_28_11 = all_28_17 % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e21, all_28_1, e13, % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2286), (2347) gives: % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2376) all_28_1 = e21 % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_28_21, all_28_1, e13, % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2347), (2370) gives: % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2377) all_28_1 = all_28_21 % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2376), (2377) imply: % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2378) all_28_21 = e21 % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2372), (2373) imply: % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2379) all_28_9 = all_28_19 % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2379) implies: % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2380) all_28_9 = all_28_19 % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2371), (2380) imply: % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2381) all_28_19 = e20 % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2374), (2375) imply: % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2382) all_28_17 = e22 % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2373), (2381) imply: % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2383) all_28_5 = e20 % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (498) gives: % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2384) ~ (all_28_0 = all_28_1) % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2313), (2376), (2384) imply: % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2385) $false % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2385) is inconsistent. % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2386) ~ (all_28_2 = all_28_3) | ~ (all_28_4 = % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_5) | ~ (all_28_6 = all_28_7) | ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_8 = all_28_9) | ~ (all_28_10 = all_28_11) % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_12 = all_28_13) | ~ (all_28_14 = % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_15) | ~ (all_28_16 = all_28_17) | ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_18 = all_28_19) | ~ (all_28_20 = % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_21) | ~ (all_28_22 = all_28_23) | ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_24 = all_28_26) | ~ (all_28_27 = % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_29) | ~ (all_28_30 = all_28_32) | ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_33 = all_28_35) | ( ~ (all_28_25 = e23) & % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_28 = e23) & ~ (all_28_31 = e23) & ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e22) & ~ (all_28_31 = e22) & ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e22)) | ( ~ (all_28_25 = e21) & ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e21) & ~ (all_28_31 = e21) & ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e20) & ~ (all_28_31 = e20) & ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e20)) % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2386) gives: % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2387) ~ (all_28_2 = all_28_3) % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2054), (2303), (2387) imply: % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2388) $false % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2388) is inconsistent. % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2389) ~ (all_28_4 = all_28_5) | ~ (all_28_6 = % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_7) | ~ (all_28_8 = all_28_9) | ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_10 = all_28_11) | ~ (all_28_12 = % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_13) | ~ (all_28_14 = all_28_15) | ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_16 = all_28_17) | ~ (all_28_18 = % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_19) | ~ (all_28_20 = all_28_21) | ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_22 = all_28_23) | ~ (all_28_24 = % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_26) | ~ (all_28_27 = all_28_29) | ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_30 = all_28_32) | ~ (all_28_33 = % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_35) | ( ~ (all_28_25 = e23) & ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e23) & ~ (all_28_31 = e23) & ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e22) & ~ (all_28_31 = e22) & ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e22)) | ( ~ (all_28_25 = e21) & ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e21) & ~ (all_28_31 = e21) & ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e20) & ~ (all_28_31 = e20) & ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e20)) % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2389) gives: % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2390) ~ (all_28_4 = all_28_5) % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2298), (2383), (2390) imply: % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2391) $false % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2391) is inconsistent. % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2392) ~ (all_28_6 = all_28_7) | ~ (all_28_8 = % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_9) | ~ (all_28_10 = all_28_11) | ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_12 = all_28_13) | ~ (all_28_14 = % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_15) | ~ (all_28_16 = all_28_17) | ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_18 = all_28_19) | ~ (all_28_20 = % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_21) | ~ (all_28_22 = all_28_23) | ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_24 = all_28_26) | ~ (all_28_27 = % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_29) | ~ (all_28_30 = all_28_32) | ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_33 = all_28_35) | ( ~ (all_28_25 = e23) & % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_28 = e23) & ~ (all_28_31 = e23) & ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e22) & ~ (all_28_31 = e22) & ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e22)) | ( ~ (all_28_25 = e21) & ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e21) & ~ (all_28_31 = e21) & ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e20) & ~ (all_28_31 = e20) & ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e20)) % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2392) gives: % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2393) ~ (all_28_6 = all_28_7) % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2258), (2304), (2393) imply: % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2394) $false % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2394) is inconsistent. % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2395) ~ (all_28_8 = all_28_9) | ~ (all_28_10 = % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_11) | ~ (all_28_12 = all_28_13) | ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_14 = all_28_15) | ~ (all_28_16 = % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_17) | ~ (all_28_18 = all_28_19) | ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_20 = all_28_21) | ~ (all_28_22 = % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_23) | ~ (all_28_24 = all_28_26) | ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_27 = all_28_29) | ~ (all_28_30 = % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_32) | ~ (all_28_33 = all_28_35) | ( ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e23) & ~ (all_28_28 = e23) & ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e23) & ~ (all_28_34 = e23)) | ( ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e22) & ~ (all_28_28 = e22) & ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e22) & ~ (all_28_34 = e22)) | ( ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e21) & ~ (all_28_28 = e21) & ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e21) & ~ (all_28_34 = e21)) | ( ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e20) & ~ (all_28_28 = e20) & ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e20) & ~ (all_28_34 = e20)) % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2395) gives: % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2396) ~ (all_28_8 = all_28_9) % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2305), (2371), (2396) imply: % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2397) $false % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2397) is inconsistent. % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2398) ~ (all_28_10 = all_28_11) | ~ (all_28_12 = % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_13) | ~ (all_28_14 = all_28_15) | ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_16 = all_28_17) | ~ (all_28_18 = % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_19) | ~ (all_28_20 = all_28_21) | ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_22 = all_28_23) | ~ (all_28_24 = % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_26) | ~ (all_28_27 = all_28_29) | ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_30 = all_28_32) | ~ (all_28_33 = % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_35) | ( ~ (all_28_25 = e23) & ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e23) & ~ (all_28_31 = e23) & ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e22) & ~ (all_28_31 = e22) & ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e22)) | ( ~ (all_28_25 = e21) & ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e21) & ~ (all_28_31 = e21) & ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e20) & ~ (all_28_31 = e20) & ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e20)) % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2398) gives: % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2399) ~ (all_28_10 = all_28_11) % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2275), (2374), (2399) imply: % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2400) $false % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2400) is inconsistent. % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2401) ~ (all_28_12 = all_28_13) | ~ (all_28_14 = % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_15) | ~ (all_28_16 = all_28_17) | ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_18 = all_28_19) | ~ (all_28_20 = % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_21) | ~ (all_28_22 = all_28_23) | ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_24 = all_28_26) | ~ (all_28_27 = % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_29) | ~ (all_28_30 = all_28_32) | ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_33 = all_28_35) | ( ~ (all_28_25 = e23) & % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_28 = e23) & ~ (all_28_31 = e23) & ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e22) & ~ (all_28_31 = e22) & ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e22)) | ( ~ (all_28_25 = e21) & ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e21) & ~ (all_28_31 = e21) & ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e20) & ~ (all_28_31 = e20) & ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e20)) % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2401) gives: % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2402) ~ (all_28_12 = all_28_13) % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2056), (2274), (2402) imply: % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2403) $false % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2403) is inconsistent. % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2404) ~ (all_28_14 = all_28_15) | ~ (all_28_16 = % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_17) | ~ (all_28_18 = all_28_19) | ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_20 = all_28_21) | ~ (all_28_22 = % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_23) | ~ (all_28_24 = all_28_26) | ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_27 = all_28_29) | ~ (all_28_30 = % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_32) | ~ (all_28_33 = all_28_35) | ( ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e23) & ~ (all_28_28 = e23) & ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e23) & ~ (all_28_34 = e23)) | ( ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e22) & ~ (all_28_28 = e22) & ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e22) & ~ (all_28_34 = e22)) | ( ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e21) & ~ (all_28_28 = e21) & ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e21) & ~ (all_28_34 = e21)) | ( ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e20) & ~ (all_28_28 = e20) & ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e20) & ~ (all_28_34 = e20)) % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2404) gives: % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2405) ~ (all_28_14 = all_28_15) % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2284), (2285), (2405) imply: % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2406) $false % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2406) is inconsistent. % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2407) ~ (all_28_16 = all_28_17) | ~ (all_28_18 = % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_19) | ~ (all_28_20 = all_28_21) | ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_22 = all_28_23) | ~ (all_28_24 = % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_26) | ~ (all_28_27 = all_28_29) | ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_30 = all_28_32) | ~ (all_28_33 = % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_35) | ( ~ (all_28_25 = e23) & ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e23) & ~ (all_28_31 = e23) & ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e22) & ~ (all_28_31 = e22) & ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e22)) | ( ~ (all_28_25 = e21) & ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e21) & ~ (all_28_31 = e21) & ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e20) & ~ (all_28_31 = e20) & ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e20)) % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2407) gives: % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2408) ~ (all_28_16 = all_28_17) % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2297), (2382), (2408) imply: % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2409) $false % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2409) is inconsistent. % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2410) ~ (all_28_18 = all_28_19) | ~ (all_28_20 = % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_21) | ~ (all_28_22 = all_28_23) | ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_24 = all_28_26) | ~ (all_28_27 = % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_29) | ~ (all_28_30 = all_28_32) | ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_33 = all_28_35) | ( ~ (all_28_25 = e23) & % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_28 = e23) & ~ (all_28_31 = e23) & ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e22) & ~ (all_28_31 = e22) & ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e22)) | ( ~ (all_28_25 = e21) & ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e21) & ~ (all_28_31 = e21) & ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e20) & ~ (all_28_31 = e20) & ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e20)) % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2410) gives: % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2411) ~ (all_28_18 = all_28_19) % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2270), (2381), (2411) imply: % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2412) $false % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2412) is inconsistent. % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2413) ~ (all_28_20 = all_28_21) | ~ (all_28_22 = % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_23) | ~ (all_28_24 = all_28_26) | ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_27 = all_28_29) | ~ (all_28_30 = % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_32) | ~ (all_28_33 = all_28_35) | ( ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e23) & ~ (all_28_28 = e23) & ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e23) & ~ (all_28_34 = e23)) | ( ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e22) & ~ (all_28_28 = e22) & ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e22) & ~ (all_28_34 = e22)) | ( ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e21) & ~ (all_28_28 = e21) & ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e21) & ~ (all_28_34 = e21)) | ( ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e20) & ~ (all_28_28 = e20) & ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e20) & ~ (all_28_34 = e20)) % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2413) gives: % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2414) ~ (all_28_20 = all_28_21) % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2238), (2378), (2414) imply: % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2415) $false % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2415) is inconsistent. % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2416) ~ (all_28_22 = all_28_23) | ~ (all_28_24 = % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_26) | ~ (all_28_27 = all_28_29) | ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_30 = all_28_32) | ~ (all_28_33 = % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_35) | ( ~ (all_28_25 = e23) & ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e23) & ~ (all_28_31 = e23) & ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e22) & ~ (all_28_31 = e22) & ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e22)) | ( ~ (all_28_25 = e21) & ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e21) & ~ (all_28_31 = e21) & ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e20) & ~ (all_28_31 = e20) & ~ % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e20)) % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2416) gives: % 59.44/9.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2417) ~ (all_28_22 = all_28_23) % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1079), (2239), (2417) imply: % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2418) $false % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2418) is inconsistent. % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2419) ~ (all_28_24 = all_28_26) | ~ (all_28_27 = % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_29) | ~ (all_28_30 = all_28_32) | ~ % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_33 = all_28_35) | ( ~ (all_28_25 = e23) & % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_28 = e23) & ~ (all_28_31 = e23) & ~ % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & ~ % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e22) & ~ (all_28_31 = e22) & ~ % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e22)) | ( ~ (all_28_25 = e21) & ~ % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e21) & ~ (all_28_31 = e21) & ~ % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~ % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e20) & ~ (all_28_31 = e20) & ~ % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e20)) % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2419) gives: % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2420) ~ (all_28_24 = all_28_26) % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2026), (2306), (2420) imply: % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2421) $false % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2421) is inconsistent. % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2422) ~ (all_28_27 = all_28_29) | ~ (all_28_30 = % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_32) | ~ (all_28_33 = all_28_35) | ( ~ % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e23) & ~ (all_28_28 = e23) & ~ % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e23) & ~ (all_28_34 = e23)) | ( ~ % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e22) & ~ (all_28_28 = e22) & ~ % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e22) & ~ (all_28_34 = e22)) | ( ~ % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e21) & ~ (all_28_28 = e21) & ~ % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e21) & ~ (all_28_34 = e21)) | ( ~ % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e20) & ~ (all_28_28 = e20) & ~ % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e20) & ~ (all_28_34 = e20)) % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2422) gives: % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2423) ~ (all_28_27 = all_28_29) % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2277), (2282), (2423) imply: % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2424) $false % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2424) is inconsistent. % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2425) ~ (all_28_30 = all_28_32) | ~ (all_28_33 = % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_35) | ( ~ (all_28_25 = e23) & ~ % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e23) & ~ (all_28_31 = e23) & ~ % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & ~ % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e22) & ~ (all_28_31 = e22) & ~ % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e22)) | ( ~ (all_28_25 = e21) & ~ % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e21) & ~ (all_28_31 = e21) & ~ % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~ % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e20) & ~ (all_28_31 = e20) & ~ % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e20)) % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2425) gives: % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2426) ~ (all_28_30 = all_28_32) % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2255), (2256), (2426) imply: % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2427) $false % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2427) is inconsistent. % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2428) ~ (all_28_33 = all_28_35) | ( ~ (all_28_25 = e23) % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_28 = e23) & ~ (all_28_31 = e23) & % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_28 = e22) & ~ (all_28_31 = e22) & ~ % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e22)) | ( ~ (all_28_25 = e21) & ~ % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e21) & ~ (all_28_31 = e21) & ~ % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~ % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e20) & ~ (all_28_31 = e20) & ~ % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e20)) % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2428) gives: % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2429) ~ (all_28_33 = all_28_35) % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2176), (2177), (2429) imply: % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2430) $false % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2430) is inconsistent. % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2431) ( ~ (all_28_25 = e23) & ~ (all_28_28 = e23) & ~ % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e23) & ~ (all_28_34 = e23)) | ( ~ % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e22) & ~ (all_28_28 = e22) & ~ % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e22) & ~ (all_28_34 = e22)) | ( ~ % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e21) & ~ (all_28_28 = e21) & ~ % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e21) & ~ (all_28_34 = e21)) | ( ~ % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e20) & ~ (all_28_28 = e20) & ~ % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e20) & ~ (all_28_34 = e20)) % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2431) gives: % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2432) ( ~ (all_28_25 = e23) & ~ (all_28_28 = e23) & ~ % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e23) & ~ (all_28_34 = e23)) | ( ~ % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e22) & ~ (all_28_28 = e22) & ~ % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e22) & ~ (all_28_34 = e22)) % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2432) gives: % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2433) ~ (all_28_25 = e23) & ~ (all_28_28 = e23) & ~ % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e23) & ~ (all_28_34 = e23) % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2433) implies: % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2434) ~ (all_28_34 = e23) % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (632), (2434) imply: % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2435) $false % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2435) is inconsistent. % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2436) ~ (all_28_25 = e22) & ~ (all_28_28 = e22) & ~ % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e22) & ~ (all_28_34 = e22) % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2436) implies: % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2437) ~ (all_28_28 = e22) % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2257), (2437) imply: % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2438) $false % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2438) is inconsistent. % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2439) ( ~ (all_28_25 = e21) & ~ (all_28_28 = e21) & ~ % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e21) & ~ (all_28_34 = e21)) | ( ~ % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e20) & ~ (all_28_28 = e20) & ~ % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e20) & ~ (all_28_34 = e20)) % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2439) gives: % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2440) ~ (all_28_25 = e21) & ~ (all_28_28 = e21) & ~ % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e21) & ~ (all_28_34 = e21) % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2440) implies: % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2441) ~ (all_28_25 = e21) % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2283), (2441) imply: % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2442) $false % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2442) is inconsistent. % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2443) ~ (all_28_25 = e20) & ~ (all_28_28 = e20) & ~ % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e20) & ~ (all_28_34 = e20) % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2443) implies: % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2444) ~ (all_28_31 = e20) % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2178), (2444) imply: % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2445) $false % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2445) is inconsistent. % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2446) all_24_14 = e13 % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (804), (2446) imply: % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2447) e13 = e12 % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1069), (2447) imply: % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2448) $false % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2448) is inconsistent. % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2449) ~ (all_24_4 = e11) % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (641), (2449) imply: % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2450) ~ (all_12_8 = e11) % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (775), (870), (2064), (2346), (2450) are % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #30. % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2451) all_24_13 = e11 % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (878), (2020), (2451) are inconsistent by % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #29. % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2452) ~ (all_24_2 = e11) % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (646), (766), (864), (2032), (2327), (2452) are % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #28. % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2453) all_24_2 = e13 | all_24_6 = e13 | all_24_12 = e13 % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (314) gives: % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2454) all_24_2 = e11 % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (501), (804), (878), (1069), (2002), (2012), % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2020), (2329), (2453), (2454) are inconsistent by % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #27. % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2455) ~ (all_24_2 = e11) % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (646), (766), (864), (2032), (2327), (2455) are % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #28. % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2456) ~ (all_24_6 = e12) % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (655), (2456) imply: % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2457) ~ (all_12_2 = e12) % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (319) gives: % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2458) all_24_0 = e12 % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (810), (1066), (2458) are inconsistent by % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #180. % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2459) all_24_2 = e12 | all_24_6 = e12 | all_24_12 = e12 % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (646), (655), (1071), (2002), (2327), (2457), % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2459) are inconsistent by sub-proof #25. % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2460) (all_20_14 = e11 & ( ~ (all_20_10 = e11) | % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_20_6 = e13) & ( ~ (all_20_12 = e11) | % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_20_7 = e12) & ( ~ (all_20_15 = e11) | % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_20_8 = e10)) | (all_20_15 = e10 & ( ~ % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_10 = e10) | all_20_9 = e13) & ( ~ % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_12 = e10) | all_20_11 = e12) & ( ~ % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_14 = e10) | all_20_13 = e11)) % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (505), (803), (1071), (2460) are inconsistent % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #50. % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2461) all_18_1 = e23 % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (743), (2461) imply: % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2462) all_14_4 = e23 % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2462) implies: % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2463) all_14_4 = e23 % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2227), (2463) imply: % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2464) $false % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2464) is inconsistent. % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2465) all_18_10 = e23 % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (762), (2465) imply: % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2466) all_4_2 = e23 % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2160), (2466) imply: % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2467) $false % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2467) is inconsistent. % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2468) ~ (all_18_6 = e20) % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2469) all_18_6 = e23 | all_18_6 = e22 | all_18_6 = e21 % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (748), (2468) imply: % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2470) ~ (all_14_9 = e20) % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (574), (600), (748), (812), (852), (853), % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2075), (2163), (2469), (2470) are inconsistent by % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #80. % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2471) all_18_4 = e23 % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (738), (834), (2471) are inconsistent by sub-proof % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #24. % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2472) all_18_0 = e23 | all_18_0 = e22 | all_18_0 = e21 % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (754), (2086), (2103), (2157), (2472) are % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #120. % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2473) all_22_7 = e22 & all_22_10 = e21 & ~ (all_22_6 = % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_12 = e21) % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2473) implies: % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2474) all_22_7 = e22 % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (683), (852), (2474) are inconsistent by sub-proof % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | #99. % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | (2475) (all_22_7 = e22 & all_22_15 = e21 & ~ (all_22_8 = % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_12 = e21)) | (all_22_8 = e20 % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_10 = e21 & ~ (all_22_6 = e23) & ~ % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e21)) | (all_22_8 = e20 & all_22_12 % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | = e21 & ~ (all_22_7 = e22) & ~ (all_22_15 = % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | e21)) % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2475) gives: % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (2476) all_22_7 = e22 & all_22_15 = e21 & ~ (all_22_8 = % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_12 = e21) % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2476) implies: % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (2477) all_22_7 = e22 % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (683), (852), (2477) are inconsistent by sub-proof % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | #99. % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (2478) (all_22_8 = e20 & all_22_10 = e21 & ~ (all_22_6 = % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_15 = e21)) | (all_22_8 = e20 % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_12 = e21 & ~ (all_22_7 = e22) & ~ % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e21)) % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10), (701), (2108), (2478) are inconsistent % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #133. % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | (2479) (all_22_9 = e23 & all_22_12 = e20 & ~ (all_22_10 % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_22_11 = e22)) | (all_22_9 = % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | e23 & all_22_14 = e20 & ~ (all_22_10 = e20) & % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_22_13 = e21)) | (all_22_10 = e20 & % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | all_22_11 = e22 & ~ (all_22_9 = e23) & ~ % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e20)) | (all_22_10 = e20 & % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | all_22_13 = e21 & ~ (all_22_9 = e23) & ~ % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e20)) | (all_22_11 = e22 & % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | all_22_14 = e20 & ~ (all_22_12 = e20) & ~ % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | (all_22_13 = e21)) | (all_22_12 = e20 & % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | all_22_13 = e21 & ~ (all_22_11 = e22) & ~ % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e20)) % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2479) gives: % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | (2480) (all_22_9 = e23 & all_22_12 = e20 & ~ (all_22_10 % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_22_11 = e22)) | (all_22_9 = % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | e23 & all_22_14 = e20 & ~ (all_22_10 = e20) & % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_22_13 = e21)) | (all_22_10 = e20 & % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | all_22_11 = e22 & ~ (all_22_9 = e23) & ~ % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e20)) % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2480) gives: % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (2481) all_22_9 = e23 & all_22_12 = e20 & ~ (all_22_10 = % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_11 = e22) % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (2108), (2481) are inconsistent by sub-proof % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | #132. % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (2482) (all_22_9 = e23 & all_22_14 = e20 & ~ (all_22_10 % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_22_13 = e21)) | (all_22_10 = % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | e20 & all_22_11 = e22 & ~ (all_22_9 = e23) & ~ % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e20)) % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (693), (2082), (2482) are inconsistent by % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #23. % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | (2483) (all_22_10 = e20 & all_22_13 = e21 & ~ (all_22_9 % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_22_14 = e20)) | (all_22_11 = % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | e22 & all_22_14 = e20 & ~ (all_22_12 = e20) & % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_22_13 = e21)) | (all_22_12 = e20 & % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | all_22_13 = e21 & ~ (all_22_11 = e22) & ~ % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e20)) % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (12), (693), (2068), (2483) are inconsistent % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #126. % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.40 | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | (2484) ~ (all_26_6 = e22) % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (593), (2484) imply: % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | (2485) ~ (all_14_2 = e22) % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (287) gives: % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | (2486) (all_22_0 = e22 & all_22_14 = e23 & ~ (all_22_1 = % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_12 = e23)) | (all_22_0 = e22 % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | & all_22_15 = e23 & ~ (all_22_2 = e20) & ~ % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e23)) | (all_22_1 = e21 & all_22_12 % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | = e23 & ~ (all_22_0 = e22) & ~ (all_22_14 = % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | e23)) | (all_22_1 = e21 & all_22_15 = e23 & ~ % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | (all_22_2 = e20) & ~ (all_22_14 = e23)) | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | (all_22_2 = e20 & all_22_12 = e23 & ~ (all_22_0 = % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_15 = e23)) | (all_22_2 = e20 % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | & all_22_14 = e23 & ~ (all_22_1 = e21) & ~ % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e23)) | (all_22_3 = e23 & all_22_14 % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | = e22 & ~ (all_22_4 = e21) & ~ (all_22_10 = % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | e22)) | (all_22_3 = e23 & all_22_15 = e22 & ~ % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | (all_22_5 = e20) & ~ (all_22_10 = e22)) | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | (all_22_4 = e21 & all_22_10 = e22 & ~ (all_22_3 = % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_14 = e22)) | (all_22_4 = e21 % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | & all_22_15 = e22 & ~ (all_22_5 = e20) & ~ % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e22)) | (all_22_5 = e20 & all_22_10 % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | = e22 & ~ (all_22_3 = e23) & ~ (all_22_15 = % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | e22)) | (all_22_5 = e20 & all_22_14 = e22 & ~ % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | (all_22_4 = e21) & ~ (all_22_15 = e22)) % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2486) gives: % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | (2487) (all_22_0 = e22 & all_22_14 = e23 & ~ (all_22_1 = % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_12 = e23)) | (all_22_0 = e22 % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | & all_22_15 = e23 & ~ (all_22_2 = e20) & ~ % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e23)) | (all_22_1 = e21 & all_22_12 % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | = e23 & ~ (all_22_0 = e22) & ~ (all_22_14 = % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | e23)) | (all_22_1 = e21 & all_22_15 = e23 & ~ % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | (all_22_2 = e20) & ~ (all_22_14 = e23)) | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | (all_22_2 = e20 & all_22_12 = e23 & ~ (all_22_0 = % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_15 = e23)) | (all_22_2 = e20 % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | & all_22_14 = e23 & ~ (all_22_1 = e21) & ~ % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e23)) % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2487) gives: % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | (2488) (all_22_0 = e22 & all_22_14 = e23 & ~ (all_22_1 = % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_12 = e23)) | (all_22_0 = e22 % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_15 = e23 & ~ (all_22_2 = e20) & ~ % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e23)) | (all_22_1 = e21 & all_22_12 % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | = e23 & ~ (all_22_0 = e22) & ~ (all_22_14 = % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | e23)) % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2488) gives: % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (2489) all_22_0 = e22 & all_22_14 = e23 & ~ (all_22_1 = % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_12 = e23) % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (677), (2111), (2489) are inconsistent by % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #44. % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (2490) (all_22_0 = e22 & all_22_15 = e23 & ~ (all_22_2 = % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_12 = e23)) | (all_22_1 = e21 % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_12 = e23 & ~ (all_22_0 = e22) & ~ % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e23)) % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (568), (862), (2108), (2490) are % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #67. % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | (2491) (all_22_1 = e21 & all_22_15 = e23 & ~ (all_22_2 = % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_14 = e23)) | (all_22_2 = e20 % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_12 = e23 & ~ (all_22_0 = e22) & ~ % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e23)) | (all_22_2 = e20 & all_22_14 % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | = e23 & ~ (all_22_1 = e21) & ~ (all_22_15 = % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | e23)) % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2491) gives: % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (2492) all_22_1 = e21 & all_22_15 = e23 & ~ (all_22_2 = % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_14 = e23) % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (568), (862), (2492) are inconsistent by sub-proof % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | #159. % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (2493) (all_22_2 = e20 & all_22_12 = e23 & ~ (all_22_0 = % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_15 = e23)) | (all_22_2 = e20 % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_14 = e23 & ~ (all_22_1 = e21) & ~ % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e23)) % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2493) gives: % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2494) all_22_2 = e20 & all_22_12 = e23 & ~ (all_22_0 = % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_15 = e23) % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2494) implies: % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2495) all_22_12 = e23 % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2496) all_22_2 = e20 % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2100), (2496) imply: % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2497) e23 = e20 % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2497) implies: % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2498) e23 = e20 % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2108), (2495) imply: % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2499) e23 = e22 % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2498), (2499) imply: % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2500) e22 = e20 % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2097), (2498) imply: % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2501) all_26_12 = e20 % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (357), (593), (607), (620), (2086), (2111), % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2485), (2501) are inconsistent by sub-proof #107. % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2502) all_22_2 = e20 & all_22_14 = e23 & ~ (all_22_1 = % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_15 = e23) % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2502) implies: % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2503) all_22_2 = e20 % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2100), (2503) imply: % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2504) e23 = e20 % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2504) implies: % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2505) e23 = e20 % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2097), (2505) imply: % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2506) all_26_12 = e20 % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (357), (593), (607), (620), (2086), (2111), % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2485), (2506) are inconsistent by sub-proof #107. % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | (2507) (all_22_3 = e23 & all_22_14 = e22 & ~ (all_22_4 = % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_10 = e22)) | (all_22_3 = e23 % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | & all_22_15 = e22 & ~ (all_22_5 = e20) & ~ % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e22)) | (all_22_4 = e21 & all_22_10 % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | = e22 & ~ (all_22_3 = e23) & ~ (all_22_14 = % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | e22)) | (all_22_4 = e21 & all_22_15 = e22 & ~ % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | (all_22_5 = e20) & ~ (all_22_14 = e22)) | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | (all_22_5 = e20 & all_22_10 = e22 & ~ (all_22_3 = % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_15 = e22)) | (all_22_5 = e20 % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | & all_22_14 = e22 & ~ (all_22_4 = e21) & ~ % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e22)) % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (568), (585), (673), (854), (857), (2086), (2507) % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #87. % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | (2508) (all_22_6 = e23 & all_22_12 = e21 & ~ (all_22_7 = % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_10 = e21)) | (all_22_6 = e23 % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | & all_22_15 = e21 & ~ (all_22_8 = e20) & ~ % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e21)) | (all_22_7 = e22 & all_22_10 % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | = e21 & ~ (all_22_6 = e23) & ~ (all_22_12 = % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | e21)) | (all_22_7 = e22 & all_22_15 = e21 & ~ % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | (all_22_8 = e20) & ~ (all_22_12 = e21)) | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | (all_22_8 = e20 & all_22_10 = e21 & ~ (all_22_6 = % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_15 = e21)) | (all_22_8 = e20 % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | & all_22_12 = e21 & ~ (all_22_7 = e22) & ~ % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e21)) | (all_22_9 = e23 & all_22_12 % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | = e20 & ~ (all_22_10 = e20) & ~ (all_22_11 = % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | e22)) | (all_22_9 = e23 & all_22_14 = e20 & ~ % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e20) & ~ (all_22_13 = e21)) | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e20 & all_22_11 = e22 & ~ (all_22_9 % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_22_12 = e20)) | (all_22_10 = % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | e20 & all_22_13 = e21 & ~ (all_22_9 = e23) & ~ % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e20)) | (all_22_11 = e22 & % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | all_22_14 = e20 & ~ (all_22_12 = e20) & ~ % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | (all_22_13 = e21)) | (all_22_12 = e20 & % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | all_22_13 = e21 & ~ (all_22_11 = e22) & ~ % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e20)) % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2508) gives: % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | (2509) (all_22_6 = e23 & all_22_12 = e21 & ~ (all_22_7 = % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_10 = e21)) | (all_22_6 = e23 % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | & all_22_15 = e21 & ~ (all_22_8 = e20) & ~ % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e21)) | (all_22_7 = e22 & all_22_10 % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | = e21 & ~ (all_22_6 = e23) & ~ (all_22_12 = % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | e21)) | (all_22_7 = e22 & all_22_15 = e21 & ~ % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | (all_22_8 = e20) & ~ (all_22_12 = e21)) | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | (all_22_8 = e20 & all_22_10 = e21 & ~ (all_22_6 = % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_15 = e21)) | (all_22_8 = e20 % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | & all_22_12 = e21 & ~ (all_22_7 = e22) & ~ % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e21)) % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2509) gives: % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | (2510) (all_22_6 = e23 & all_22_12 = e21 & ~ (all_22_7 = % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_10 = e21)) | (all_22_6 = e23 % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_15 = e21 & ~ (all_22_8 = e20) & ~ % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e21)) | (all_22_7 = e22 & all_22_10 % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | = e21 & ~ (all_22_6 = e23) & ~ (all_22_12 = % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | e21)) % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2510) gives: % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (2511) all_22_6 = e23 & all_22_12 = e21 & ~ (all_22_7 = % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_10 = e21) % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (857), (2108), (2511) are inconsistent by % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #136. % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (2512) (all_22_6 = e23 & all_22_15 = e21 & ~ (all_22_8 = % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_10 = e21)) | (all_22_7 = e22 % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_10 = e21 & ~ (all_22_6 = e23) & ~ % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e21)) % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2512) gives: % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2513) all_22_6 = e23 & all_22_15 = e21 & ~ (all_22_8 = % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_10 = e21) % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2513) implies: % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2514) all_22_6 = e23 % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (681), (2514) imply: % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2515) all_14_8 = e23 % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2515) implies: % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2516) all_14_8 = e23 % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (849), (2516) imply: % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2517) ~ (all_4_2 = e23) % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2517) implies: % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2518) ~ (all_4_2 = e23) % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives: % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2519) all_18_10 = e20 % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (762), (2519) imply: % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2520) all_4_2 = e20 % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2075), (2520) imply: % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2521) $false % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2521) is inconsistent. % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2522) all_18_10 = e23 | all_18_10 = e22 | all_18_10 = % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21 % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives: % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2523) all_18_8 = e20 % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (739), (2523) imply: % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2524) all_14_2 = e20 % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2071), (2524) imply: % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2525) $false % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2525) is inconsistent. % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2526) all_18_8 = e23 | all_18_8 = e22 | all_18_8 = e21 % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2526) gives: % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2527) all_18_8 = e22 % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (739), (2527) imply: % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2528) all_14_2 = e22 % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2485), (2528) imply: % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2529) $false % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2529) is inconsistent. % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2530) all_18_8 = e23 | all_18_8 = e21 % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (739), (762), (835), (854), (2101), (2518), % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2522), (2530) are inconsistent by sub-proof #82. % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2531) all_22_7 = e22 & all_22_10 = e21 & ~ (all_22_6 = % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_12 = e21) % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2531) implies: % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2532) all_22_7 = e22 % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (683), (852), (2532) are inconsistent by sub-proof % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | #99. % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | (2533) (all_22_7 = e22 & all_22_15 = e21 & ~ (all_22_8 = % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_12 = e21)) | (all_22_8 = e20 % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_10 = e21 & ~ (all_22_6 = e23) & ~ % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e21)) | (all_22_8 = e20 & all_22_12 % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | = e21 & ~ (all_22_7 = e22) & ~ (all_22_15 = % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | e21)) % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2533) gives: % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (2534) all_22_7 = e22 & all_22_15 = e21 & ~ (all_22_8 = % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_12 = e21) % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2534) implies: % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (2535) all_22_7 = e22 % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (683), (852), (2535) are inconsistent by sub-proof % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | #99. % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (2536) (all_22_8 = e20 & all_22_10 = e21 & ~ (all_22_6 = % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_15 = e21)) | (all_22_8 = e20 % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_12 = e21 & ~ (all_22_7 = e22) & ~ % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e21)) % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2536) gives: % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2537) all_22_8 = e20 & all_22_10 = e21 & ~ (all_22_6 = % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_15 = e21) % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (701), (2537) are inconsistent by sub-proof % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | #150. % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2538) all_22_8 = e20 & all_22_12 = e21 & ~ (all_22_7 = % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_15 = e21) % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2538) implies: % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2539) all_22_12 = e21 % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2540) all_22_8 = e20 % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (701), (2540) imply: % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2541) e22 = e20 % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2108), (2539) imply: % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2542) e22 = e21 % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2541), (2542) are inconsistent by sub-proof % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | #68. % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.41 | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | (2543) (all_22_9 = e23 & all_22_12 = e20 & ~ (all_22_10 % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_22_11 = e22)) | (all_22_9 = % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | e23 & all_22_14 = e20 & ~ (all_22_10 = e20) & % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_22_13 = e21)) | (all_22_10 = e20 & % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | all_22_11 = e22 & ~ (all_22_9 = e23) & ~ % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e20)) | (all_22_10 = e20 & % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | all_22_13 = e21 & ~ (all_22_9 = e23) & ~ % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e20)) | (all_22_11 = e22 & % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | all_22_14 = e20 & ~ (all_22_12 = e20) & ~ % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | (all_22_13 = e21)) | (all_22_12 = e20 & % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | all_22_13 = e21 & ~ (all_22_11 = e22) & ~ % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e20)) % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2543) gives: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | (2544) (all_22_9 = e23 & all_22_12 = e20 & ~ (all_22_10 % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_22_11 = e22)) | (all_22_9 = % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | e23 & all_22_14 = e20 & ~ (all_22_10 = e20) & % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_22_13 = e21)) | (all_22_10 = e20 & % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | all_22_11 = e22 & ~ (all_22_9 = e23) & ~ % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e20)) % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2544) gives: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | (2545) all_22_9 = e23 & all_22_12 = e20 & ~ (all_22_10 = % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_11 = e22) % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2545) implies: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | (2546) all_22_12 = e20 % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | (2547) all_22_9 = e23 % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2082), (2547) imply: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | (2548) e23 = e22 % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2548) implies: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | (2549) e23 = e22 % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2108), (2546) imply: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | (2550) e22 = e20 % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2550) implies: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | (2551) e22 = e20 % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2549), (2551) imply: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | (2552) e23 = e20 % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2097), (2552) imply: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | (2553) all_26_12 = e20 % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (357), (593), (607), (620), (2086), (2111), % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | (2485), (2553) are inconsistent by sub-proof #107. % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | (2554) (all_22_9 = e23 & all_22_14 = e20 & ~ (all_22_10 % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_22_13 = e21)) | (all_22_10 = % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | e20 & all_22_11 = e22 & ~ (all_22_9 = e23) & ~ % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e20)) % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (693), (2082), (2554) are inconsistent by % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #23. % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | (2555) (all_22_10 = e20 & all_22_13 = e21 & ~ (all_22_9 % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_22_14 = e20)) | (all_22_11 = % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | e22 & all_22_14 = e20 & ~ (all_22_12 = e20) & % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_22_13 = e21)) | (all_22_12 = e20 & % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | all_22_13 = e21 & ~ (all_22_11 = e22) & ~ % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e20)) % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (12), (693), (2068), (2555) are inconsistent % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #126. % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | (2556) (all_22_14 = e21 & ( ~ (all_22_10 = e21) | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | all_22_6 = e23) & ( ~ (all_22_12 = e21) | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | all_22_7 = e22) & ( ~ (all_22_15 = e21) | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | all_22_8 = e20)) | (all_22_15 = e20 & ( ~ % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | (all_22_10 = e20) | all_22_9 = e23) & ( ~ % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | (all_22_12 = e20) | all_22_11 = e22) & ( ~ % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | (all_22_14 = e20) | all_22_13 = e21)) % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10), (568), (701), (2556) are inconsistent % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | by sub-proof #103. % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.42 | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | (2557) all_26_13 = e23 | all_26_14 = e23 | all_26_15 = % 59.44/9.42 | | | | | | | | | | | | | | | | | | | e23 % 59.44/9.42 | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | BETA: splitting (2557) gives: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | (2558) all_26_13 = e23 % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2091), (2558) imply: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | (2559) e23 = e20 % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (2559) imply: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | (2560) $false % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | CLOSE: (2560) is inconsistent. % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | (2561) all_26_14 = e23 | all_26_15 = e23 % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (574), (811), (862), (2561) are inconsistent % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | by sub-proof #22. % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.42 | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | End of split % 59.44/9.42 | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.42 | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | (2562) ~ (all_18_13 = e20) % 59.44/9.42 | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | REDUCE: (746), (2562) imply: % 59.44/9.42 | | | | | | | | | | | | | | | | | | (2563) ~ (all_14_7 = e20) % 59.44/9.42 | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | BETA: splitting (339) gives: % 59.44/9.42 | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | (2564) all_26_15 = e20 % 59.44/9.42 | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (811), (2564) are inconsistent by sub-proof % 59.44/9.42 | | | | | | | | | | | | | | | | | | | #93. % 59.44/9.42 | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | (2565) (all_26_9 = e20 | all_26_10 = e20 | all_26_11 = % 59.44/9.42 | | | | | | | | | | | | | | | | | | | e20) & (all_26_12 = e20 | all_26_13 = e20 | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | all_26_14 = e20) % 59.44/9.42 | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | ALPHA: (2565) implies: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | (2566) all_26_12 = e20 | all_26_13 = e20 | all_26_14 = % 59.44/9.42 | | | | | | | | | | | | | | | | | | | e20 % 59.44/9.42 | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | BETA: splitting (2566) gives: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | (2567) all_26_12 = e20 % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (580), (2567) imply: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | (2568) all_14_3 = e20 % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | SIMP: (2568) implies: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | (2569) all_14_3 = e20 % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1037), (2569) imply: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | (2570) all_28_144 = e20 % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | REDUCE: (168), (2569) imply: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | (2571) ~ (all_14_1 = e20) % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | REDUCE: (160), (2569) imply: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | (2572) ~ (all_14_7 = e20) % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | REDUCE: (826), (2569) imply: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | (2573) ~ (all_8_2 = e20) % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | SIMP: (2573) implies: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | (2574) ~ (all_8_2 = e20) % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | REDUCE: (836), (2569) imply: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | (2575) ~ (e22 = e20) % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | BETA: splitting (340) gives: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | (2576) all_26_12 = e23 % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2567), (2576) imply: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | (2577) e23 = e20 % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (2577) imply: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | (2578) $false % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | CLOSE: (2578) is inconsistent. % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | (2579) all_26_13 = e23 | all_26_14 = e23 | all_26_15 = % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | e23 % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2579) gives: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | (2580) all_26_13 = e23 % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (577), (2580) imply: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | (2581) all_14_7 = e23 % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | SIMP: (2581) implies: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | (2582) all_14_7 = e23 % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (698), (2582) imply: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | (2583) all_22_5 = e23 % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1021), (2582) imply: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | (2584) all_28_148 = e23 % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (155), (2582) imply: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | (2585) ~ (all_14_4 = e23) % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (2582) imply: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | (2586) ~ (all_14_6 = e23) % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (842), (2582) imply: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | (2587) ~ (all_6_2 = e23) % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | (2588) all_18_6 = e20 % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (748), (2588) imply: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | (2589) all_14_9 = e20 % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2589) implies: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | (2590) all_14_9 = e20 % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (683), (2590) imply: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | (2591) all_22_7 = e20 % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1024), (2590) imply: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | (2592) all_28_126 = e20 % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (844), (2590) imply: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | (2593) ~ (all_6_2 = e20) % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2593) implies: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | (2594) ~ (all_6_2 = e20) % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (354) gives: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | (2595) all_26_0 = e20 % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (620), (2595) imply: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | (2596) all_8_2 = e20 % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2596) implies: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | (2597) all_8_2 = e20 % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2574), (2597) imply: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | (2598) $false % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2598) is inconsistent. % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | (2599) all_26_1 = e20 | all_26_4 = e20 | all_26_9 = e20 % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2599) gives: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | (2600) all_26_1 = e20 % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (616), (2600) imply: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | (2601) all_14_4 = e20 % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2601) implies: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | (2602) all_14_4 = e20 % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (674), (2602) imply: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | (2603) all_22_3 = e20 % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1042), (2602) imply: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | (2604) all_28_111 = e20 % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (156), (2602) imply: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | (2605) ~ (all_14_6 = e20) % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (154), (2602) imply: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | (2606) ~ (all_14_8 = e20) % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2606) implies: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | (2607) ~ (all_14_8 = e20) % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (249) gives: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | (2608) all_18_0 = e20 % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (754), (2608) imply: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | (2609) all_8_2 = e20 % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2574), (2609) imply: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | (2610) $false % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2610) is inconsistent. % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | (2611) ~ (all_18_0 = e20) % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | (2612) all_18_0 = e23 | all_18_0 = e22 | all_18_0 = e21 % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2613) all_18_4 = e20 % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (738), (2613) imply: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2614) all_14_1 = e20 % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2571), (2614) imply: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2615) $false % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2615) is inconsistent. % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2616) all_18_4 = e23 | all_18_4 = e22 | all_18_4 = e21 % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2617) all_18_9 = e20 % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (744), (2617) imply: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2618) all_14_6 = e20 % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2618) implies: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2619) all_14_6 = e20 % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2072), (2619) imply: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2620) $false % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2620) is inconsistent. % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2621) ~ (all_18_9 = e20) % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2622) all_18_9 = e23 | all_18_9 = e22 | all_18_9 = e21 % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2623) all_18_10 = e20 % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (762), (2623) imply: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2624) all_4_2 = e20 % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2075), (2624) imply: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2625) $false % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2625) is inconsistent. % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2626) all_18_10 = e23 | all_18_10 = e22 | all_18_10 = % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21 % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (247) gives: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2627) all_18_2 = e20 % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (747), (2627) imply: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2628) all_14_8 = e20 % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2607), (2628) imply: % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2629) $false % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2629) is inconsistent. % 59.44/9.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2630) ~ (all_18_2 = e20) % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2631) all_18_2 = e23 | all_18_2 = e22 | all_18_2 = e21 % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (267) gives: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2632) (all_20_10 = e13 & ( ~ (all_20_12 = e13) | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_20_0 = e12) & ( ~ (all_20_14 = e13) | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_20_1 = e11) & ( ~ (all_20_15 = e13) | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_20_2 = e10)) | (all_20_12 = e12 & ( ~ % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_10 = e12) | all_20_3 = e13) & ( ~ % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_14 = e12) | all_20_4 = e11) & ( ~ % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e12) | all_20_5 = e10)) % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2632) gives: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2633) all_20_10 = e13 & ( ~ (all_20_12 = e13) | all_20_0 % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e12) & ( ~ (all_20_14 = e13) | all_20_1 = e11) % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ( ~ (all_20_15 = e13) | all_20_2 = e10) % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2633) implies: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2634) all_20_10 = e13 % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2635) ~ (all_20_14 = e13) | all_20_1 = e11 % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (636), (2634) imply: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2636) all_12_0 = e13 % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (106), (2636) imply: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2637) ~ (all_12_8 = e13) % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2637) implies: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2638) ~ (all_12_8 = e13) % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (77), (268), (501), (505), (711), (713), (717), % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (721), (725), (775), (787), (803), (804), (867), % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (870), (873), (1046), (1049), (1065), (1071), % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1084), (2012), (2019), (2020), (2036), (2038), % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2046), (2064), (2634), (2635), (2638) are % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #31. % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2639) all_20_12 = e12 & ( ~ (all_20_10 = e12) | all_20_3 % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ( ~ (all_20_14 = e12) | all_20_4 = e11) % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ( ~ (all_20_15 = e12) | all_20_5 = e10) % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2639) implies: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2640) all_20_12 = e12 % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (711), (2640) imply: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2641) all_12_5 = e12 % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (648), (2641) imply: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2642) all_24_3 = e12 % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (102), (2641) imply: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2643) ~ (all_12_1 = e12) % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (917), (2641) imply: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2644) h1(e12) = all_28_124 % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (319) gives: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2645) all_24_0 = e12 % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (810), (1066), (2645) are inconsistent by % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #180. % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2646) all_24_2 = e12 | all_24_6 = e12 | all_24_12 = e12 % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (314) gives: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2647) all_24_2 = e11 % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (646), (2647) imply: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2648) all_12_1 = e11 % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2648) implies: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2649) all_12_1 = e11 % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (708), (2649) imply: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2650) all_20_0 = e11 % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (2649) imply: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2651) ~ (all_12_0 = e11) % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (104), (2649) imply: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2652) ~ (all_12_2 = e11) % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2652) implies: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2653) ~ (all_12_2 = e11) % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (864), (2649) imply: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2654) ~ (e13 = e11) % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2643), (2649) imply: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2655) ~ (e12 = e11) % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (916), (2649) imply: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2656) h1(e11) = all_28_121 % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2646) gives: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2657) all_24_2 = e12 % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2647), (2657) imply: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2658) e12 = e11 % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1070), (2658) imply: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2659) $false % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2659) is inconsistent. % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2660) all_24_6 = e12 | all_24_12 = e12 % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2660) gives: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2661) all_24_6 = e12 % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (655), (2661) imply: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2662) all_12_2 = e12 % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2662) implies: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2663) all_12_2 = e12 % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (717), (2663) imply: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2664) all_20_1 = e12 % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (920), (2663) imply: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2665) h1(e12) = all_28_133 % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (316) gives: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2666) all_24_1 = e11 % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2043), (2666) imply: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2667) e11 = e10 % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (2667) imply: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2668) $false % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2668) is inconsistent. % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2669) all_24_3 = e11 | all_24_7 = e11 | all_24_13 = e11 % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (321) gives: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2670) all_24_0 = e13 % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (810), (2670) imply: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2671) all_12_0 = e13 % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2671) implies: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2672) all_12_0 = e13 % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (636), (2672) imply: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2673) all_20_10 = e13 % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (106), (2672) imply: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2674) ~ (all_12_8 = e13) % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2674) implies: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2675) ~ (all_12_8 = e13) % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (912), (2672) imply: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2676) h1(e13) = all_28_109 % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2669) gives: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2677) all_24_3 = e11 % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1070), (2642), (2677) are inconsistent by % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #21. % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2678) all_24_7 = e11 | all_24_13 = e11 % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2678) gives: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2679) all_24_7 = e11 % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (808), (2679) imply: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2680) all_12_6 = e11 % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2680) implies: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2681) all_12_6 = e11 % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (921), (2681) imply: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2682) h1(e11) = all_28_136 % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (311) gives: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2683) all_24_4 = e11 % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (641), (2683) imply: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2684) all_12_8 = e11 % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2684) implies: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2685) all_12_8 = e11 % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (713), (2685) imply: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2686) all_20_6 = e11 % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (914), (2685) imply: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2687) h1(e11) = all_28_115 % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (268) gives: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2688) (all_20_0 = e12 & all_20_14 = e13 & ~ (all_20_1 = % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_20_12 = e13)) | (all_20_0 = e12 % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_20_15 = e13 & ~ (all_20_2 = e10) & ~ % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_12 = e13)) | (all_20_1 = e11 & all_20_12 % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13 & ~ (all_20_0 = e12) & ~ (all_20_14 = % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13)) | (all_20_1 = e11 & all_20_15 = e13 & ~ % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_2 = e10) & ~ (all_20_14 = e13)) | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_2 = e10 & all_20_12 = e13 & ~ (all_20_0 = % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12) & ~ (all_20_15 = e13)) | (all_20_2 = e10 % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_20_14 = e13 & ~ (all_20_1 = e11) & ~ % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e13)) | (all_20_3 = e13 & all_20_14 % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e12 & ~ (all_20_4 = e11) & ~ (all_20_10 = % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12)) | (all_20_3 = e13 & all_20_15 = e12 & ~ % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_5 = e10) & ~ (all_20_10 = e12)) | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_4 = e11 & all_20_10 = e12 & ~ (all_20_3 = % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_20_14 = e12)) | (all_20_4 = e11 % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_20_15 = e12 & ~ (all_20_5 = e10) & ~ % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_14 = e12)) | (all_20_5 = e10 & all_20_10 % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e12 & ~ (all_20_3 = e13) & ~ (all_20_15 = % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12)) | (all_20_5 = e10 & all_20_14 = e12 & ~ % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_4 = e11) & ~ (all_20_15 = e12)) % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2688) gives: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2689) (all_20_0 = e12 & all_20_14 = e13 & ~ (all_20_1 = % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_20_12 = e13)) | (all_20_0 = e12 % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_20_15 = e13 & ~ (all_20_2 = e10) & ~ % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_12 = e13)) | (all_20_1 = e11 & all_20_12 % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13 & ~ (all_20_0 = e12) & ~ (all_20_14 = % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13)) | (all_20_1 = e11 & all_20_15 = e13 & ~ % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_2 = e10) & ~ (all_20_14 = e13)) | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_2 = e10 & all_20_12 = e13 & ~ (all_20_0 = % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12) & ~ (all_20_15 = e13)) | (all_20_2 = e10 % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_20_14 = e13 & ~ (all_20_1 = e11) & ~ % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e13)) % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2689) gives: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2690) (all_20_0 = e12 & all_20_14 = e13 & ~ (all_20_1 = % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_20_12 = e13)) | (all_20_0 = e12 % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_20_15 = e13 & ~ (all_20_2 = e10) & ~ % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_12 = e13)) | (all_20_1 = e11 & all_20_12 % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13 & ~ (all_20_0 = e12) & ~ (all_20_14 = % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13)) % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2690) gives: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2691) all_20_0 = e12 & all_20_14 = e13 & ~ (all_20_1 = % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_20_12 = e13) % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2691) implies: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2692) all_20_0 = e12 % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2650), (2692) imply: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2693) e12 = e11 % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1070), (2693) imply: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2694) $false % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2694) is inconsistent. % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2695) (all_20_0 = e12 & all_20_15 = e13 & ~ (all_20_2 = % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10) & ~ (all_20_12 = e13)) | (all_20_1 = e11 % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_20_12 = e13 & ~ (all_20_0 = e12) & ~ % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_14 = e13)) % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2695) gives: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2696) all_20_0 = e12 & all_20_15 = e13 & ~ (all_20_2 = % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10) & ~ (all_20_12 = e13) % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2696) implies: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2697) all_20_0 = e12 % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2650), (2697) imply: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2698) e12 = e11 % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1070), (2698) imply: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2699) $false % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2699) is inconsistent. % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2700) all_20_1 = e11 & all_20_12 = e13 & ~ (all_20_0 = % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12) & ~ (all_20_14 = e13) % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1070), (2664), (2700) are inconsistent by % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #177. % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2701) (all_20_1 = e11 & all_20_15 = e13 & ~ (all_20_2 = % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10) & ~ (all_20_14 = e13)) | (all_20_2 = e10 % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_20_12 = e13 & ~ (all_20_0 = e12) & ~ % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e13)) | (all_20_2 = e10 & all_20_14 % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13 & ~ (all_20_1 = e11) & ~ (all_20_15 = % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13)) % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2701) gives: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2702) all_20_1 = e11 & all_20_15 = e13 & ~ (all_20_2 = % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10) & ~ (all_20_14 = e13) % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1070), (2664), (2702) are inconsistent by % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #176. % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2703) (all_20_2 = e10 & all_20_12 = e13 & ~ (all_20_0 = % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12) & ~ (all_20_15 = e13)) | (all_20_2 = e10 % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_20_14 = e13 & ~ (all_20_1 = e11) & ~ % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e13)) % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2703) gives: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2704) all_20_2 = e10 & all_20_12 = e13 & ~ (all_20_0 = % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12) & ~ (all_20_15 = e13) % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2704) implies: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2705) all_20_12 = e13 % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2640), (2705) imply: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2706) e13 = e12 % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2706) implies: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2707) e13 = e12 % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1069), (2707) imply: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2708) $false % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2708) is inconsistent. % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2709) all_20_2 = e10 & all_20_14 = e13 & ~ (all_20_1 = % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_20_15 = e13) % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2709) implies: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2710) all_20_14 = e13 % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (721), (2710) imply: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2711) all_12_10 = e13 % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2711) implies: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2712) all_12_10 = e13 % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (922), (2712) imply: % 59.44/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2713) h1(e13) = all_28_139 % 59.65/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (26) with e21, all_28_115, e11, % 59.65/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (928), (2687) gives: % 59.65/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2714) all_28_115 = e21 % 59.65/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (26) with all_28_121, all_28_115, % 59.65/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11, simplifying with (2656), (2687) gives: % 59.65/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2715) all_28_115 = all_28_121 % 59.65/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (26) with all_28_136, all_28_115, % 59.65/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11, simplifying with (2682), (2687) gives: % 59.65/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2716) all_28_115 = all_28_136 % 59.65/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (26) with e22, all_28_124, e12, % 59.65/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1013), (2644) gives: % 59.65/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2717) all_28_124 = e22 % 59.65/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (26) with all_28_133, all_28_124, % 59.65/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12, simplifying with (2644), (2665) gives: % 59.65/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2718) all_28_124 = all_28_133 % 59.65/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (26) with e23, all_28_109, e13, % 59.65/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1029), (2676) gives: % 59.65/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2719) all_28_109 = e23 % 59.65/9.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (26) with all_28_139, all_28_109, % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13, simplifying with (2676), (2713) gives: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2720) all_28_109 = all_28_139 % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2719), (2720) imply: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2721) all_28_139 = e23 % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2721) implies: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2722) all_28_139 = e23 % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2715), (2716) imply: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2723) all_28_121 = all_28_136 % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2714), (2715) imply: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2724) all_28_121 = e21 % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2723), (2724) imply: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2725) all_28_136 = e21 % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2717), (2718) imply: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2726) all_28_133 = e22 % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2726) implies: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2727) all_28_133 = e22 % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (286) gives: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2728) (all_22_10 = e23 & ( ~ (all_22_12 = e23) | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_0 = e22) & ( ~ (all_22_14 = e23) | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_1 = e21) & ( ~ (all_22_15 = e23) | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_2 = e20)) | (all_22_12 = e22 & ( ~ % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e22) | all_22_3 = e23) & ( ~ % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e22) | all_22_4 = e21) & ( ~ % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e22) | all_22_5 = e20)) % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2728) gives: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2729) all_22_10 = e23 & ( ~ (all_22_12 = e23) | all_22_0 % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22) & ( ~ (all_22_14 = e23) | all_22_1 = e21) % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ( ~ (all_22_15 = e23) | all_22_2 = e20) % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2729) implies: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2730) all_22_10 = e23 % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2731) ~ (all_22_14 = e23) | all_22_1 = e21 % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (673), (2730) imply: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2732) all_8_2 = e23 % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2732) implies: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2733) all_8_2 = e23 % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (620), (2733) imply: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2734) all_26_0 = e23 % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10), (11), (287), (350), (356), (568), % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (585), (590), (604), (613), (679), (681), (685), % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (693), (701), (762), (835), (845), (849), (850), % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (854), (857), (862), (2068), (2071), (2072), % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2079), (2082), (2580), (2583), (2591), (2594), % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2603), (2626), (2730), (2731), (2734) are % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #144. % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2735) all_22_12 = e22 & ( ~ (all_22_10 = e22) | all_22_3 % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ( ~ (all_22_14 = e22) | all_22_4 = e21) % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ( ~ (all_22_15 = e22) | all_22_5 = e20) % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2735) implies: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2736) all_22_12 = e22 % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (679), (2736) imply: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2737) all_6_2 = e22 % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1025), (2737) imply: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2738) all_28_123 = e22 % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (833), (2737) imply: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2739) ~ (all_14_1 = e22) % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (840), (2737) imply: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2740) ~ (all_14_6 = e22) % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (357) gives: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2741) all_26_0 = e22 % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (620), (2741) imply: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2742) all_8_2 = e22 % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2086), (2742) imply: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2743) $false % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2743) is inconsistent. % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2744) ~ (all_26_0 = e22) % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2745) all_26_2 = e22 | all_26_6 = e22 | all_26_12 = e22 % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2622) gives: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2746) all_18_9 = e22 % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (744), (2746) imply: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2747) all_14_6 = e22 % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2740), (2747) imply: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2748) $false % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2748) is inconsistent. % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2749) all_18_9 = e23 | all_18_9 = e21 % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2749) gives: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2750) all_18_9 = e21 % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (744), (2750) imply: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2751) all_14_6 = e21 % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1022), (2751) imply: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2752) all_28_135 = e21 % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (163), (2751) imply: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2753) ~ (all_14_2 = e21) % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2586), (2751) imply: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2754) ~ (e23 = e21) % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (346) gives: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2755) all_26_4 = e21 % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (613), (2755) imply: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2756) all_14_8 = e21 % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2756) implies: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2757) all_14_8 = e21 % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (830), (2757) imply: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2758) ~ (all_8_2 = e21) % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2758) implies: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2759) ~ (all_8_2 = e21) % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2616) gives: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2760) all_18_4 = e22 % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (738), (2739), (2760) are inconsistent by % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #43. % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2761) ~ (all_18_4 = e22) % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2762) all_18_4 = e23 | all_18_4 = e21 % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2762) gives: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2763) all_18_4 = e21 % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (738), (2763) imply: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2764) all_14_1 = e21 % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2764) implies: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2765) all_14_1 = e21 % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (677), (2765) imply: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2766) all_22_0 = e21 % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1039), (2765) imply: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2767) all_28_120 = e21 % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (346) gives: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (681), (2757) imply: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2768) all_22_6 = e21 % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1041), (2757) imply: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2769) all_28_114 = e21 % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (360) gives: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2770) all_26_0 = e23 % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (620), (2770) imply: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2771) all_8_2 = e23 % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2771) implies: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2772) all_8_2 = e23 % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (673), (2772) imply: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2773) all_22_10 = e23 % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1043), (2772) imply: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2774) all_28_108 = e23 % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (824), (2772) imply: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2775) ~ (all_14_2 = e23) % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (343) gives: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2776) all_26_6 = e22 % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (593), (2776) imply: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2777) all_14_2 = e22 % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2777) implies: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2778) all_14_2 = e22 % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (685), (2778) imply: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2779) all_22_1 = e22 % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1038), (2778) imply: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2780) all_28_132 = e22 % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (496) gives: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2781) ~ (all_28_108 = all_28_109) % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2719), (2774), (2781) imply: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2782) $false % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2782) is inconsistent. % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2783) ~ (all_28_111 = all_28_112) | ~ (all_28_114 = % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_115) | ~ (all_28_117 = all_28_118) | ~ % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_120 = all_28_121) | ~ (all_28_123 = % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_124) | ~ (all_28_126 = all_28_127) | ~ % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_129 = all_28_130) | ~ (all_28_132 = % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_133) | ~ (all_28_135 = all_28_136) | ~ % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_138 = all_28_139) | ~ (all_28_141 = % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_142) | ~ (all_28_144 = all_28_146) | ~ % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_148 = all_28_150) | ~ (all_28_152 = % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_154) | ~ (all_28_156 = all_28_158) | ( ~ % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_145 = e23) & ~ (all_28_149 = e23) & ~ % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_153 = e23) & ~ (all_28_157 = e23)) | ( % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_145 = e22) & ~ (all_28_149 = e22) & % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_153 = e22) & ~ (all_28_157 = e22)) | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_28_145 = e21) & ~ (all_28_149 = e21) & % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_153 = e21) & ~ (all_28_157 = e21)) | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_28_145 = e20) & ~ (all_28_149 = e20) & % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_153 = e20) & ~ (all_28_157 = e20)) % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (287) gives: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2784) (all_22_0 = e22 & all_22_14 = e23 & ~ (all_22_1 = % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_12 = e23)) | (all_22_0 = e22 % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_15 = e23 & ~ (all_22_2 = e20) & ~ % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e23)) | (all_22_1 = e21 & all_22_12 % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23 & ~ (all_22_0 = e22) & ~ (all_22_14 = % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23)) | (all_22_1 = e21 & all_22_15 = e23 & ~ % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_2 = e20) & ~ (all_22_14 = e23)) | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_2 = e20 & all_22_12 = e23 & ~ (all_22_0 = % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_15 = e23)) | (all_22_2 = e20 % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_14 = e23 & ~ (all_22_1 = e21) & ~ % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e23)) | (all_22_3 = e23 & all_22_14 % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22 & ~ (all_22_4 = e21) & ~ (all_22_10 = % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22)) | (all_22_3 = e23 & all_22_15 = e22 & ~ % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_5 = e20) & ~ (all_22_10 = e22)) | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_4 = e21 & all_22_10 = e22 & ~ (all_22_3 = % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_14 = e22)) | (all_22_4 = e21 % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_15 = e22 & ~ (all_22_5 = e20) & ~ % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e22)) | (all_22_5 = e20 & all_22_10 % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22 & ~ (all_22_3 = e23) & ~ (all_22_15 = % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22)) | (all_22_5 = e20 & all_22_14 = e22 & ~ % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_4 = e21) & ~ (all_22_15 = e22)) % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2784) gives: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2785) (all_22_0 = e22 & all_22_14 = e23 & ~ (all_22_1 = % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_12 = e23)) | (all_22_0 = e22 % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_15 = e23 & ~ (all_22_2 = e20) & ~ % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e23)) | (all_22_1 = e21 & all_22_12 % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23 & ~ (all_22_0 = e22) & ~ (all_22_14 = % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23)) | (all_22_1 = e21 & all_22_15 = e23 & ~ % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_2 = e20) & ~ (all_22_14 = e23)) | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_2 = e20 & all_22_12 = e23 & ~ (all_22_0 = % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_15 = e23)) | (all_22_2 = e20 % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_14 = e23 & ~ (all_22_1 = e21) & ~ % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e23)) % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2785) gives: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2786) (all_22_0 = e22 & all_22_14 = e23 & ~ (all_22_1 = % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_12 = e23)) | (all_22_0 = e22 % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_15 = e23 & ~ (all_22_2 = e20) & ~ % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e23)) | (all_22_1 = e21 & all_22_12 % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23 & ~ (all_22_0 = e22) & ~ (all_22_14 = % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23)) % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2786) gives: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2787) all_22_0 = e22 & all_22_14 = e23 & ~ (all_22_1 = % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_12 = e23) % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2787) implies: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2788) all_22_14 = e23 % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (585), (2788) imply: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2789) all_4_2 = e23 % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2789) implies: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2790) all_4_2 = e23 % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1009), (2790) imply: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2791) all_28_138 = e23 % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (621), (815), (985), (986), (1000), (1011), % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1012), (1026), (1027), (1028), (1075), (1076), % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2024), (2025), (2052), (2058), (2070), (2083), % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2570), (2584), (2592), (2604), (2714), (2717), % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2722), (2724), (2725), (2727), (2738), (2752), % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2767), (2769), (2780), (2783), (2791) are % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #20. % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2792) (all_22_0 = e22 & all_22_15 = e23 & ~ (all_22_2 = % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_12 = e23)) | (all_22_1 = e21 % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_12 = e23 & ~ (all_22_0 = e22) & ~ % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e23)) % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2792) gives: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2793) all_22_0 = e22 & all_22_15 = e23 & ~ (all_22_2 = % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_12 = e23) % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2793) implies: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2794) all_22_0 = e22 % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (857), (2766), (2794) are inconsistent by % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #71. % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2795) all_22_1 = e21 & all_22_12 = e23 & ~ (all_22_0 = % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_14 = e23) % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2795) implies: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2796) all_22_1 = e21 % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2779), (2796) imply: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2797) e22 = e21 % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (857), (2797) imply: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2798) $false % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2798) is inconsistent. % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2799) (all_22_1 = e21 & all_22_15 = e23 & ~ (all_22_2 = % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_14 = e23)) | (all_22_2 = e20 % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_12 = e23 & ~ (all_22_0 = e22) & ~ % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e23)) | (all_22_2 = e20 & all_22_14 % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23 & ~ (all_22_1 = e21) & ~ (all_22_15 = % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23)) % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2799) gives: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2800) all_22_1 = e21 & all_22_15 = e23 & ~ (all_22_2 = % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_14 = e23) % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2800) implies: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2801) all_22_1 = e21 % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2779), (2801) imply: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2802) e22 = e21 % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (857), (2802) imply: % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2803) $false % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2803) is inconsistent. % 59.65/9.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2804) (all_22_2 = e20 & all_22_12 = e23 & ~ (all_22_0 = % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_15 = e23)) | (all_22_2 = e20 % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_14 = e23 & ~ (all_22_1 = e21) & ~ % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e23)) % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2804) gives: % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2805) all_22_2 = e20 & all_22_12 = e23 & ~ (all_22_0 = % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_15 = e23) % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (2736), (2805) are inconsistent by sub-proof % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #142. % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2806) all_22_2 = e20 & all_22_14 = e23 & ~ (all_22_1 = % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_15 = e23) % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2806) implies: % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2807) all_22_14 = e23 % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (585), (2807) imply: % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2808) all_4_2 = e23 % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2808) implies: % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2809) all_4_2 = e23 % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1009), (2809) imply: % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2810) all_28_138 = e23 % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (621), (815), (985), (986), (1000), (1011), % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1012), (1026), (1027), (1028), (1075), (1076), % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2024), (2025), (2052), (2058), (2070), (2083), % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2570), (2584), (2592), (2604), (2714), (2717), % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2722), (2724), (2725), (2727), (2738), (2752), % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2767), (2769), (2780), (2783), (2810) are % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #20. % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2811) (all_22_3 = e23 & all_22_14 = e22 & ~ (all_22_4 = % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_10 = e22)) | (all_22_3 = e23 % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_15 = e22 & ~ (all_22_5 = e20) & ~ % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e22)) | (all_22_4 = e21 & all_22_10 % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22 & ~ (all_22_3 = e23) & ~ (all_22_14 = % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22)) | (all_22_4 = e21 & all_22_15 = e22 & ~ % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_5 = e20) & ~ (all_22_14 = e22)) | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_5 = e20 & all_22_10 = e22 & ~ (all_22_3 = % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_15 = e22)) | (all_22_5 = e20 % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_14 = e22 & ~ (all_22_4 = e21) & ~ % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e22)) % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2811) gives: % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2812) (all_22_3 = e23 & all_22_14 = e22 & ~ (all_22_4 = % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_10 = e22)) | (all_22_3 = e23 % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_15 = e22 & ~ (all_22_5 = e20) & ~ % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e22)) | (all_22_4 = e21 & all_22_10 % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22 & ~ (all_22_3 = e23) & ~ (all_22_14 = % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22)) % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2812) gives: % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2813) all_22_3 = e23 & all_22_14 = e22 & ~ (all_22_4 = % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_10 = e22) % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2813) implies: % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2814) all_22_3 = e23 % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2603), (2814) imply: % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2815) e23 = e20 % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (2815) imply: % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2816) $false % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2816) is inconsistent. % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2817) (all_22_3 = e23 & all_22_15 = e22 & ~ (all_22_5 = % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_10 = e22)) | (all_22_4 = e21 % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_10 = e22 & ~ (all_22_3 = e23) & ~ % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e22)) % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (568), (857), (2773), (2817) are % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #139. % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2818) (all_22_4 = e21 & all_22_15 = e22 & ~ (all_22_5 = % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_14 = e22)) | (all_22_5 = e20 % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_10 = e22 & ~ (all_22_3 = e23) & ~ % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e22)) | (all_22_5 = e20 & all_22_14 % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e22 & ~ (all_22_4 = e21) & ~ (all_22_15 = % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22)) % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2818) gives: % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2819) all_22_4 = e21 & all_22_15 = e22 & ~ (all_22_5 = % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_14 = e22) % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2819) implies: % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2820) all_22_15 = e22 % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (568), (857), (2820) are inconsistent by sub-proof % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #141. % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2821) (all_22_5 = e20 & all_22_10 = e22 & ~ (all_22_3 = % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_15 = e22)) | (all_22_5 = e20 % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_14 = e22 & ~ (all_22_4 = e21) & ~ % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e22)) % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (11), (2583), (2773), (2821) are % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #137. % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2822) (all_22_6 = e23 & all_22_12 = e21 & ~ (all_22_7 = % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_10 = e21)) | (all_22_6 = e23 % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_15 = e21 & ~ (all_22_8 = e20) & ~ % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e21)) | (all_22_7 = e22 & all_22_10 % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21 & ~ (all_22_6 = e23) & ~ (all_22_12 = % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21)) | (all_22_7 = e22 & all_22_15 = e21 & ~ % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_8 = e20) & ~ (all_22_12 = e21)) | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_8 = e20 & all_22_10 = e21 & ~ (all_22_6 = % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_15 = e21)) | (all_22_8 = e20 % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_12 = e21 & ~ (all_22_7 = e22) & ~ % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e21)) | (all_22_9 = e23 & all_22_12 % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20 & ~ (all_22_10 = e20) & ~ (all_22_11 = % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22)) | (all_22_9 = e23 & all_22_14 = e20 & ~ % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e20) & ~ (all_22_13 = e21)) | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e20 & all_22_11 = e22 & ~ (all_22_9 % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_22_12 = e20)) | (all_22_10 = % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 & all_22_13 = e21 & ~ (all_22_9 = e23) & ~ % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e20)) | (all_22_11 = e22 & % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_14 = e20 & ~ (all_22_12 = e20) & ~ % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_13 = e21)) | (all_22_12 = e20 & % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_13 = e21 & ~ (all_22_11 = e22) & ~ % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e20)) % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2822) gives: % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2823) (all_22_6 = e23 & all_22_12 = e21 & ~ (all_22_7 = % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_10 = e21)) | (all_22_6 = e23 % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_15 = e21 & ~ (all_22_8 = e20) & ~ % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e21)) | (all_22_7 = e22 & all_22_10 % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21 & ~ (all_22_6 = e23) & ~ (all_22_12 = % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21)) | (all_22_7 = e22 & all_22_15 = e21 & ~ % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_8 = e20) & ~ (all_22_12 = e21)) | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_8 = e20 & all_22_10 = e21 & ~ (all_22_6 = % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_15 = e21)) | (all_22_8 = e20 % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_12 = e21 & ~ (all_22_7 = e22) & ~ % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e21)) % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2823) gives: % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2824) (all_22_6 = e23 & all_22_12 = e21 & ~ (all_22_7 = % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_10 = e21)) | (all_22_6 = e23 % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_15 = e21 & ~ (all_22_8 = e20) & ~ % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e21)) | (all_22_7 = e22 & all_22_10 % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21 & ~ (all_22_6 = e23) & ~ (all_22_12 = % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21)) % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2824) gives: % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2825) all_22_6 = e23 & all_22_12 = e21 & ~ (all_22_7 = % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_10 = e21) % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (857), (2736), (2825) are inconsistent by % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #136. % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2826) (all_22_6 = e23 & all_22_15 = e21 & ~ (all_22_8 = % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_10 = e21)) | (all_22_7 = e22 % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_10 = e21 & ~ (all_22_6 = e23) & ~ % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e21)) % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (862), (2591), (2768), (2826) are % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #151. % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2827) (all_22_7 = e22 & all_22_15 = e21 & ~ (all_22_8 = % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_12 = e21)) | (all_22_8 = e20 % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_10 = e21 & ~ (all_22_6 = e23) & ~ % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e21)) | (all_22_8 = e20 & all_22_12 % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21 & ~ (all_22_7 = e22) & ~ (all_22_15 = % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21)) % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2827) gives: % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2828) all_22_7 = e22 & all_22_15 = e21 & ~ (all_22_8 = % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_12 = e21) % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2828) implies: % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2829) all_22_7 = e22 % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (2591), (2829) are inconsistent by sub-proof % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #152. % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2830) (all_22_8 = e20 & all_22_10 = e21 & ~ (all_22_6 = % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_15 = e21)) | (all_22_8 = e20 % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_12 = e21 & ~ (all_22_7 = e22) & ~ % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e21)) % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2830) gives: % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2831) all_22_8 = e20 & all_22_10 = e21 & ~ (all_22_6 = % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_15 = e21) % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (701), (2831) are inconsistent by sub-proof % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #150. % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2832) all_22_8 = e20 & all_22_12 = e21 & ~ (all_22_7 = % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_15 = e21) % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (701), (2736), (2832) are inconsistent by % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #69. % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2833) (all_22_9 = e23 & all_22_12 = e20 & ~ (all_22_10 % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_22_11 = e22)) | (all_22_9 = % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23 & all_22_14 = e20 & ~ (all_22_10 = e20) & % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_22_13 = e21)) | (all_22_10 = e20 & % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_11 = e22 & ~ (all_22_9 = e23) & ~ % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e20)) | (all_22_10 = e20 & % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_13 = e21 & ~ (all_22_9 = e23) & ~ % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e20)) | (all_22_11 = e22 & % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_14 = e20 & ~ (all_22_12 = e20) & ~ % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_13 = e21)) | (all_22_12 = e20 & % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_13 = e21 & ~ (all_22_11 = e22) & ~ % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e20)) % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2833) gives: % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2834) (all_22_9 = e23 & all_22_12 = e20 & ~ (all_22_10 % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_22_11 = e22)) | (all_22_9 = % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23 & all_22_14 = e20 & ~ (all_22_10 = e20) & % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_22_13 = e21)) | (all_22_10 = e20 & % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_11 = e22 & ~ (all_22_9 = e23) & ~ % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e20)) % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2834) gives: % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2835) all_22_9 = e23 & all_22_12 = e20 & ~ (all_22_10 = % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_11 = e22) % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (2736), (2835) are inconsistent by sub-proof % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #132. % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2836) (all_22_9 = e23 & all_22_14 = e20 & ~ (all_22_10 % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_22_13 = e21)) | (all_22_10 = % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 & all_22_11 = e22 & ~ (all_22_9 = e23) & ~ % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e20)) % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2836) gives: % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2837) all_22_9 = e23 & all_22_14 = e20 & ~ (all_22_10 = % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_13 = e21) % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2837) implies: % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2838) all_22_9 = e23 % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (2082), (2838) are inconsistent by sub-proof % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #149. % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2839) all_22_10 = e20 & all_22_11 = e22 & ~ (all_22_9 = % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_12 = e20) % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (693), (2773), (2839) are inconsistent by % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #130. % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2840) (all_22_10 = e20 & all_22_13 = e21 & ~ (all_22_9 % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_22_14 = e20)) | (all_22_11 = % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22 & all_22_14 = e20 & ~ (all_22_12 = e20) & % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_22_13 = e21)) | (all_22_12 = e20 & % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_13 = e21 & ~ (all_22_11 = e22) & ~ % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e20)) % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2840) gives: % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2841) all_22_10 = e20 & all_22_13 = e21 & ~ (all_22_9 = % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_14 = e20) % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2841) implies: % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2842) all_22_13 = e21 % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2068), (2842) are inconsistent by sub-proof % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #146. % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2843) (all_22_11 = e22 & all_22_14 = e20 & ~ (all_22_12 % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_22_13 = e21)) | (all_22_12 = % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 & all_22_13 = e21 & ~ (all_22_11 = e22) & % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_22_14 = e20)) % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (12), (693), (2068), (2843) are inconsistent % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #111. % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2844) ~ (all_26_6 = e22) % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (593), (2844) imply: % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2845) ~ (all_14_2 = e22) % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (593), (607), (2567), (2739), (2745), (2845) % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #108. % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2846) ~ (all_26_0 = e23) % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (620), (2846) imply: % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2847) ~ (all_8_2 = e23) % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (754), (2086), (2612), (2759), (2847) are % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #120. % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2848) ~ (all_26_4 = e21) % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (613), (2848) imply: % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2849) ~ (all_14_8 = e21) % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (359), (620), (747), (754), (830), (850), (2086), % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2612), (2631), (2759), (2849) are inconsistent by % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #105. % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2850) all_18_4 = e23 % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (738), (834), (2850) are inconsistent by sub-proof % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #24. % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.65/9.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2851) ~ (all_26_4 = e21) % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (613), (2851) imply: % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2852) ~ (all_14_8 = e21) % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (356) gives: % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2853) all_26_0 = e21 % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (620), (2853) imply: % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2854) all_8_2 = e21 % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2854) implies: % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2855) all_8_2 = e21 % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (673), (2855) imply: % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2856) all_22_10 = e21 % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (360) gives: % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2857) all_26_0 = e23 % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2853), (2857) imply: % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2858) e23 = e21 % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (862), (2858) imply: % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2859) $false % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2859) is inconsistent. % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2860) all_26_1 = e23 | all_26_4 = e23 | all_26_9 = e23 % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2745) gives: % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2861) all_26_2 = e22 % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (607), (2739), (2861) are inconsistent by % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #109. % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2862) all_26_6 = e22 | all_26_12 = e22 % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (343) gives: % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2863) all_26_6 = e22 % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (593), (2863) imply: % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2864) all_14_2 = e22 % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2864) implies: % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2865) all_14_2 = e22 % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (685), (2865) imply: % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2866) all_22_1 = e22 % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10), (11), (12), (287), (568), (585), (613), % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (693), (701), (849), (850), (857), (2068), (2079), % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2082), (2583), (2591), (2600), (2603), (2607), % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2736), (2852), (2856), (2860), (2866) are % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #110. % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2867) ~ (all_26_6 = e22) % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (593), (2867) imply: % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2868) ~ (all_14_2 = e22) % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (593), (2567), (2862), (2868) are % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #125. % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2869) ~ (all_26_0 = e21) % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (620), (2869) imply: % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2870) ~ (all_8_2 = e21) % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (359), (620), (747), (754), (830), (850), (2086), % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2612), (2631), (2852), (2870) are inconsistent by % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #105. % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2871) all_18_9 = e23 % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (744), (2871) imply: % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2872) all_14_6 = e23 % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2586), (2872) imply: % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2873) $false % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2873) is inconsistent. % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2874) (all_22_14 = e21 & ( ~ (all_22_10 = e21) | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_6 = e23) & ( ~ (all_22_12 = e21) | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_7 = e22) & ( ~ (all_22_15 = e21) | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_8 = e20)) | (all_22_15 = e20 & ( ~ % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e20) | all_22_9 = e23) & ( ~ % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e20) | all_22_11 = e22) & ( ~ % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e20) | all_22_13 = e21)) % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10), (568), (701), (2874) are inconsistent % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #79. % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2875) (all_20_3 = e13 & all_20_14 = e12 & ~ (all_20_4 = % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_20_10 = e12)) | (all_20_3 = e13 % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_20_15 = e12 & ~ (all_20_5 = e10) & ~ % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_10 = e12)) | (all_20_4 = e11 & all_20_10 % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e12 & ~ (all_20_3 = e13) & ~ (all_20_14 = % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12)) | (all_20_4 = e11 & all_20_15 = e12 & ~ % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_5 = e10) & ~ (all_20_14 = e12)) | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_5 = e10 & all_20_10 = e12 & ~ (all_20_3 = % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_20_15 = e12)) | (all_20_5 = e10 % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_20_14 = e12 & ~ (all_20_4 = e11) & ~ % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e12)) % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2875) gives: % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2876) (all_20_3 = e13 & all_20_14 = e12 & ~ (all_20_4 = % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_20_10 = e12)) | (all_20_3 = e13 % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_20_15 = e12 & ~ (all_20_5 = e10) & ~ % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_10 = e12)) | (all_20_4 = e11 & all_20_10 % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e12 & ~ (all_20_3 = e13) & ~ (all_20_14 = % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12)) % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2876) gives: % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2877) all_20_3 = e13 & all_20_14 = e12 & ~ (all_20_4 = % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_20_10 = e12) % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2877) implies: % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2878) all_20_3 = e13 % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2046), (2878) imply: % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2879) e13 = e10 % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (501), (804), (878), (1069), (2012), (2020), % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2879) are inconsistent by sub-proof #32. % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2880) (all_20_3 = e13 & all_20_15 = e12 & ~ (all_20_5 = % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10) & ~ (all_20_10 = e12)) | (all_20_4 = e11 % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_20_10 = e12 & ~ (all_20_3 = e13) & ~ % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_14 = e12)) % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2880) gives: % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2881) all_20_3 = e13 & all_20_15 = e12 & ~ (all_20_5 = % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10) & ~ (all_20_10 = e12) % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2881) implies: % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2882) all_20_3 = e13 % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2046), (2882) imply: % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2883) e13 = e10 % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (501), (804), (878), (1069), (2012), (2020), % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2883) are inconsistent by sub-proof #32. % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2884) all_20_4 = e11 & all_20_10 = e12 & ~ (all_20_3 = % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_20_14 = e12) % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1069), (2673), (2884) are inconsistent by % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #39. % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2885) (all_20_4 = e11 & all_20_15 = e12 & ~ (all_20_5 = % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10) & ~ (all_20_14 = e12)) | (all_20_5 = e10 % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_20_10 = e12 & ~ (all_20_3 = e13) & ~ % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e12)) | (all_20_5 = e10 & all_20_14 % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e12 & ~ (all_20_4 = e11) & ~ (all_20_15 = % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12)) % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2885) gives: % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2886) all_20_4 = e11 & all_20_15 = e12 & ~ (all_20_5 = % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10) & ~ (all_20_14 = e12) % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (803), (1070), (2886) are inconsistent by % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #173. % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2887) (all_20_5 = e10 & all_20_10 = e12 & ~ (all_20_3 = % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_20_15 = e12)) | (all_20_5 = e10 % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_20_14 = e12 & ~ (all_20_4 = e11) & ~ % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e12)) % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2887) gives: % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2888) all_20_5 = e10 & all_20_10 = e12 & ~ (all_20_3 = % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_20_15 = e12) % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2888) implies: % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2889) all_20_10 = e12 % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2890) all_20_5 = e10 % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2019), (2890) imply: % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2891) e13 = e10 % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (501), (804), (878), (1069), (2012), (2020), % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2673), (2889), (2891) are inconsistent by % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #37. % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2892) all_20_5 = e10 & all_20_14 = e12 & ~ (all_20_4 = % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_20_15 = e12) % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2892) implies: % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2893) all_20_5 = e10 % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2019), (2893) imply: % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2894) e13 = e10 % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2020), (2894) imply: % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2895) all_24_13 = e10 % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (501), (804), (878), (1069), (2012), (2895) % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #48. % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2896) (all_20_6 = e13 & all_20_12 = e11 & ~ (all_20_7 = % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12) & ~ (all_20_10 = e11)) | (all_20_6 = e13 % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_20_15 = e11 & ~ (all_20_8 = e10) & ~ % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_10 = e11)) | (all_20_7 = e12 & all_20_10 % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e11 & ~ (all_20_6 = e13) & ~ (all_20_12 = % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11)) | (all_20_7 = e12 & all_20_15 = e11 & ~ % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_8 = e10) & ~ (all_20_12 = e11)) | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_8 = e10 & all_20_10 = e11 & ~ (all_20_6 = % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_20_15 = e11)) | (all_20_8 = e10 % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_20_12 = e11 & ~ (all_20_7 = e12) & ~ % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e11)) | (all_20_9 = e13 & all_20_12 % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10 & ~ (all_20_10 = e10) & ~ (all_20_11 = % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12)) | (all_20_9 = e13 & all_20_14 = e10 & ~ % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_10 = e10) & ~ (all_20_13 = e11)) | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_10 = e10 & all_20_11 = e12 & ~ (all_20_9 % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_20_12 = e10)) | (all_20_10 = % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10 & all_20_13 = e11 & ~ (all_20_9 = e13) & ~ % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_14 = e10)) | (all_20_11 = e12 & % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_20_14 = e10 & ~ (all_20_12 = e10) & ~ % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_13 = e11)) | (all_20_12 = e10 & % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_20_13 = e11 & ~ (all_20_11 = e12) & ~ % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_14 = e10)) % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2896) gives: % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2897) (all_20_6 = e13 & all_20_12 = e11 & ~ (all_20_7 = % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12) & ~ (all_20_10 = e11)) | (all_20_6 = e13 % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_20_15 = e11 & ~ (all_20_8 = e10) & ~ % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_10 = e11)) | (all_20_7 = e12 & all_20_10 % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e11 & ~ (all_20_6 = e13) & ~ (all_20_12 = % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11)) | (all_20_7 = e12 & all_20_15 = e11 & ~ % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_8 = e10) & ~ (all_20_12 = e11)) | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_8 = e10 & all_20_10 = e11 & ~ (all_20_6 = % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_20_15 = e11)) | (all_20_8 = e10 % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_20_12 = e11 & ~ (all_20_7 = e12) & ~ % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e11)) % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2897) gives: % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2898) (all_20_6 = e13 & all_20_12 = e11 & ~ (all_20_7 = % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12) & ~ (all_20_10 = e11)) | (all_20_6 = e13 % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_20_15 = e11 & ~ (all_20_8 = e10) & ~ % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_10 = e11)) | (all_20_7 = e12 & all_20_10 % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e11 & ~ (all_20_6 = e13) & ~ (all_20_12 = % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11)) % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2898) gives: % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2899) all_20_6 = e13 & all_20_12 = e11 & ~ (all_20_7 = % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12) & ~ (all_20_10 = e11) % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2899) implies: % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2900) all_20_12 = e11 % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2640), (2900) imply: % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2901) e12 = e11 % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1070), (2901) imply: % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2902) $false % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2902) is inconsistent. % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2903) (all_20_6 = e13 & all_20_15 = e11 & ~ (all_20_8 = % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10) & ~ (all_20_10 = e11)) | (all_20_7 = e12 % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_20_10 = e11 & ~ (all_20_6 = e13) & ~ % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_12 = e11)) % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (878), (1071), (2036), (2686), (2903) are % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #33. % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2904) (all_20_7 = e12 & all_20_15 = e11 & ~ (all_20_8 = % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10) & ~ (all_20_12 = e11)) | (all_20_8 = e10 % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_20_10 = e11 & ~ (all_20_6 = e13) & ~ % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e11)) | (all_20_8 = e10 & all_20_12 % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e11 & ~ (all_20_7 = e12) & ~ (all_20_15 = % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11)) % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2904) gives: % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2905) all_20_7 = e12 & all_20_15 = e11 & ~ (all_20_8 = % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10) & ~ (all_20_12 = e11) % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2905) implies: % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2906) all_20_7 = e12 % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1071), (2036), (2906) are inconsistent by % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #34. % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2907) (all_20_8 = e10 & all_20_10 = e11 & ~ (all_20_6 = % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_20_15 = e11)) | (all_20_8 = e10 % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_20_12 = e11 & ~ (all_20_7 = e12) & ~ % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e11)) % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2907) gives: % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2908) all_20_8 = e10 & all_20_10 = e11 & ~ (all_20_6 = % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_20_15 = e11) % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (505), (1071), (2908) are inconsistent by % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #60. % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2909) all_20_8 = e10 & all_20_12 = e11 & ~ (all_20_7 = % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12) & ~ (all_20_15 = e11) % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2909) implies: % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2910) all_20_12 = e11 % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2911) all_20_8 = e10 % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (505), (2911) imply: % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2912) e12 = e10 % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2640), (2910) imply: % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2913) e12 = e11 % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2912), (2913) imply: % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2914) e11 = e10 % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2679), (2914) imply: % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2915) all_24_7 = e10 % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (878), (2020), (2678), (2915) are % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #19. % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2916) (all_20_9 = e13 & all_20_12 = e10 & ~ (all_20_10 % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_20_11 = e12)) | (all_20_9 = % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13 & all_20_14 = e10 & ~ (all_20_10 = e10) & % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_20_13 = e11)) | (all_20_10 = e10 & % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_20_11 = e12 & ~ (all_20_9 = e13) & ~ % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_12 = e10)) | (all_20_10 = e10 & % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_20_13 = e11 & ~ (all_20_9 = e13) & ~ % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_14 = e10)) | (all_20_11 = e12 & % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_20_14 = e10 & ~ (all_20_12 = e10) & ~ % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_13 = e11)) | (all_20_12 = e10 & % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_20_13 = e11 & ~ (all_20_11 = e12) & ~ % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_14 = e10)) % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2916) gives: % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2917) (all_20_9 = e13 & all_20_12 = e10 & ~ (all_20_10 % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_20_11 = e12)) | (all_20_9 = % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13 & all_20_14 = e10 & ~ (all_20_10 = e10) & % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_20_13 = e11)) | (all_20_10 = e10 & % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_20_11 = e12 & ~ (all_20_9 = e13) & ~ % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_12 = e10)) % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2917) gives: % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2918) all_20_9 = e13 & all_20_12 = e10 & ~ (all_20_10 = % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10) & ~ (all_20_11 = e12) % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2918) implies: % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2919) all_20_12 = e10 % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2920) all_20_9 = e13 % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1065), (2920) imply: % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2921) e13 = e12 % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2640), (2919) imply: % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2922) e12 = e10 % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (501), (804), (878), (1069), (2012), (2020), % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2921), (2922) are inconsistent by sub-proof #38. % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2923) (all_20_9 = e13 & all_20_14 = e10 & ~ (all_20_10 % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_20_13 = e11)) | (all_20_10 = % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10 & all_20_11 = e12 & ~ (all_20_9 = e13) & ~ % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_12 = e10)) % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2923) gives: % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2924) all_20_9 = e13 & all_20_14 = e10 & ~ (all_20_10 = % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10) & ~ (all_20_13 = e11) % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2924) implies: % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2925) all_20_9 = e13 % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1065), (2925) imply: % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2926) e13 = e12 % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1069), (2926) imply: % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2927) $false % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2927) is inconsistent. % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2928) all_20_10 = e10 & all_20_11 = e12 & ~ (all_20_9 = % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_20_12 = e10) % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2928) implies: % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2929) all_20_11 = e12 % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2930) all_20_10 = e10 % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2673), (2930) imply: % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2931) e13 = e10 % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (725), (2929) imply: % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2932) e13 = e12 % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2931), (2932) imply: % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2933) e12 = e10 % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (501), (804), (878), (1069), (2012), (2020), % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2932), (2933) are inconsistent by sub-proof #38. % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2934) (all_20_10 = e10 & all_20_13 = e11 & ~ (all_20_9 % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_20_14 = e10)) | (all_20_11 = % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12 & all_20_14 = e10 & ~ (all_20_12 = e10) & % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_20_13 = e11)) | (all_20_12 = e10 & % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_20_13 = e11 & ~ (all_20_11 = e12) & ~ % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_14 = e10)) % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2934) gives: % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2935) all_20_10 = e10 & all_20_13 = e11 & ~ (all_20_9 = % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_20_14 = e10) % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2935) implies: % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2936) all_20_13 = e11 % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (878), (1046), (2020), (2678), (2679), (2936) % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #18. % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2937) (all_20_11 = e12 & all_20_14 = e10 & ~ (all_20_12 % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_20_13 = e11)) | (all_20_12 = % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10 & all_20_13 = e11 & ~ (all_20_11 = e12) & % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_20_14 = e10)) % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2937) gives: % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2938) all_20_11 = e12 & all_20_14 = e10 & ~ (all_20_12 % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_20_13 = e11) % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (725), (1069), (2938) are inconsistent by % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #54. % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2939) all_20_12 = e10 & all_20_13 = e11 & ~ (all_20_11 % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e12) & ~ (all_20_14 = e10) % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2939) implies: % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2940) all_20_13 = e11 % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (878), (1046), (2020), (2678), (2679), (2940) % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #18. % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2941) ~ (all_24_4 = e11) % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (641), (2941) imply: % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2942) ~ (all_12_8 = e11) % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (775), (870), (2064), (2675), (2942) are % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #30. % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2943) all_24_13 = e11 % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (878), (2020), (2943) are inconsistent by % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #29. % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2944) all_24_2 = e13 | all_24_6 = e13 | all_24_12 = e13 % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (501), (804), (878), (1069), (2002), (2012), % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2020), (2647), (2661), (2944) are inconsistent by % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #27. % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2945) all_24_12 = e12 % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2002), (2945) imply: % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2946) e12 = e10 % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1071), (2946) imply: % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2947) $false % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2947) is inconsistent. % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2948) ~ (all_24_2 = e11) % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (646), (766), (864), (2032), (2643), (2948) are % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #28. % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2949) (all_20_14 = e11 & ( ~ (all_20_10 = e11) | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_20_6 = e13) & ( ~ (all_20_12 = e11) | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_20_7 = e12) & ( ~ (all_20_15 = e11) | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_20_8 = e10)) | (all_20_15 = e10 & ( ~ % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_10 = e10) | all_20_9 = e13) & ( ~ % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_12 = e10) | all_20_11 = e12) & ( ~ % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_14 = e10) | all_20_13 = e11)) % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2949) gives: % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2950) all_20_14 = e11 & ( ~ (all_20_10 = e11) | all_20_6 % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ( ~ (all_20_12 = e11) | all_20_7 = e12) % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ( ~ (all_20_15 = e11) | all_20_8 = e10) % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (505), (803), (1071), (2950) are inconsistent by % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #51. % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2951) all_20_15 = e10 & ( ~ (all_20_10 = e10) | all_20_9 % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ( ~ (all_20_12 = e10) | all_20_11 = % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12) & ( ~ (all_20_14 = e10) | all_20_13 = e11) % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (803), (2951) are inconsistent by sub-proof % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #17. % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | (2952) ~ (all_26_1 = e20) % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (616), (2952) imply: % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | (2953) ~ (all_14_4 = e20) % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (248) gives: % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 59.65/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (2954) all_18_1 = e20 % 60.37/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (743), (2954) imply: % 60.37/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (2955) all_14_4 = e20 % 60.37/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2953), (2955) imply: % 60.37/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (2956) $false % 60.37/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2956) is inconsistent. % 60.37/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 60.37/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (2957) ~ (all_18_1 = e20) % 60.37/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (2958) all_18_1 = e23 | all_18_1 = e22 | all_18_1 = e21 % 60.37/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2958) gives: % 60.37/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 60.37/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2959) all_18_1 = e22 % 60.37/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (743), (2959) imply: % 60.37/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2960) all_14_4 = e22 % 60.37/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2084), (2960) imply: % 60.37/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2961) $false % 60.37/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2961) is inconsistent. % 60.37/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 60.37/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2962) all_18_1 = e23 | all_18_1 = e21 % 60.37/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2962) gives: % 60.37/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 60.37/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2963) all_18_1 = e21 % 60.37/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (743), (2963) imply: % 60.37/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2964) all_14_4 = e21 % 60.37/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (616), (2964) imply: % 60.37/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2965) all_26_1 = e21 % 60.37/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11), (350), (590), (604), (2072), (2580), % 60.37/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2594), (2965) are inconsistent by sub-proof #162. % 60.37/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 60.37/9.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2966) all_18_1 = e23 % 60.37/9.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (743), (2966) imply: % 60.37/9.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2967) all_14_4 = e23 % 60.37/9.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2585), (2967) imply: % 60.37/9.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2968) $false % 60.37/9.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2968) is inconsistent. % 60.37/9.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 60.37/9.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 60.37/9.48 | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 60.37/9.48 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 60.37/9.48 | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | | | | | | | | | | End of split % 60.37/9.48 | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 60.37/9.48 | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | | | | | | | | | | (2969) ~ (all_18_6 = e20) % 60.37/9.48 | | | | | | | | | | | | | | | | | | | | | | | (2970) all_18_6 = e23 | all_18_6 = e22 | all_18_6 = e21 % 60.37/9.48 | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (748), (2969) imply: % 60.37/9.48 | | | | | | | | | | | | | | | | | | | | | | | (2971) ~ (all_14_9 = e20) % 60.37/9.48 | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (11), (12), (154), (163), (169), (243), % 60.37/9.48 | | | | | | | | | | | | | | | | | | | | | | | (248), (287), (344), (345), (347), (350), (352), % 60.37/9.48 | | | | | | | | | | | | | | | | | | | | | | | (355), (357), (360), (568), (574), (585), (590), % 60.37/9.48 | | | | | | | | | | | | | | | | | | | | | | | (593), (600), (604), (607), (613), (616), (620), % 60.37/9.48 | | | | | | | | | | | | | | | | | | | | | | | (673), (674), (677), (679), (681), (683), (685), % 60.37/9.48 | | | | | | | | | | | | | | | | | | | | | | | (693), (701), (739), (743), (748), (812), (822), % 60.37/9.48 | | | | | | | | | | | | | | | | | | | | | | | (824), (828), (830), (833), (835), (838), (845), % 60.37/9.48 | | | | | | | | | | | | | | | | | | | | | | | (849), (850), (852), (853), (854), (2068), (2069), % 60.37/9.48 | | | | | | | | | | | | | | | | | | | | | | | (2071), (2072), (2075), (2079), (2082), (2084), % 60.37/9.48 | | | | | | | | | | | | | | | | | | | | | | | (2567), (2571), (2580), (2583), (2585), (2586), % 60.37/9.48 | | | | | | | | | | | | | | | | | | | | | | | (2970), (2971) are inconsistent by sub-proof #94. % 60.37/9.48 | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | | | | | | | | | End of split % 60.37/9.48 | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | | | | | | | | Case 2: % 60.37/9.48 | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | | | | | | | | | (2972) all_26_14 = e23 | all_26_15 = e23 % 60.37/9.48 | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (574), (811), (862), (2972) are inconsistent % 60.37/9.48 | | | | | | | | | | | | | | | | | | | | | | by sub-proof #22. % 60.37/9.48 | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | | | | | | | | End of split % 60.37/9.48 | | | | | | | | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | | | | | | | End of split % 60.37/9.48 | | | | | | | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | | | | | | Case 2: % 60.37/9.48 | | | | | | | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | | | | | | | (2973) all_26_13 = e20 | all_26_14 = e20 % 60.37/9.48 | | | | | | | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (574), (577), (2563), (2973) are % 60.37/9.48 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #78. % 60.37/9.48 | | | | | | | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | | | | | | End of split % 60.37/9.48 | | | | | | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | | | | | End of split % 60.37/9.48 | | | | | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | | | | End of split % 60.37/9.48 | | | | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | | | Case 2: % 60.37/9.48 | | | | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | | | | (2974) all_26_10 = e22 | all_26_11 = e22 | all_26_15 = % 60.37/9.48 | | | | | | | | | | | | | | | | | e22 % 60.37/9.48 | | | | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | | | | BETA: splitting (2974) gives: % 60.37/9.48 | | | | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | | | | Case 1: % 60.37/9.48 | | | | | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | | | | | (2975) all_26_10 = e22 % 60.37/9.48 | | | | | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (597), (2975) imply: % 60.37/9.48 | | | | | | | | | | | | | | | | | | (2976) e23 = e22 % 60.37/9.48 | | | | | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | | | | | SIMP: (2976) implies: % 60.37/9.48 | | | | | | | | | | | | | | | | | | (2977) e23 = e22 % 60.37/9.48 | | | | | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | | | | | REDUCE: (12), (2977) imply: % 60.37/9.48 | | | | | | | | | | | | | | | | | | (2978) $false % 60.37/9.48 | | | | | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | | | | | CLOSE: (2978) is inconsistent. % 60.37/9.48 | | | | | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | | | | Case 2: % 60.37/9.48 | | | | | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | | | | | (2979) all_26_11 = e22 | all_26_15 = e22 % 60.37/9.48 | | | | | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | | | | | BETA: splitting (2979) gives: % 60.37/9.48 | | | | | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | | | | | Case 1: % 60.37/9.48 | | | | | | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | | | | | | (2980) all_26_11 = e22 % 60.37/9.48 | | | | | | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2069), (2980) imply: % 60.37/9.48 | | | | | | | | | | | | | | | | | | | (2981) e22 = e20 % 60.37/9.48 | | | | | | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | | | | | | REDUCE: (10), (2981) imply: % 60.37/9.48 | | | | | | | | | | | | | | | | | | | (2982) $false % 60.37/9.48 | | | | | | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | | | | | | CLOSE: (2982) is inconsistent. % 60.37/9.48 | | | | | | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | | | | | Case 2: % 60.37/9.48 | | | | | | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | | | | | | (2983) all_26_15 = e22 % 60.37/9.48 | | | | | | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (811), (2983) imply: % 60.37/9.48 | | | | | | | | | | | | | | | | | | | (2984) e22 = e21 % 60.37/9.48 | | | | | | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | | | | | | REDUCE: (857), (2984) imply: % 60.37/9.48 | | | | | | | | | | | | | | | | | | | (2985) $false % 60.37/9.48 | | | | | | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | | | | | | CLOSE: (2985) is inconsistent. % 60.37/9.48 | | | | | | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | | | | | End of split % 60.37/9.48 | | | | | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | | | | End of split % 60.37/9.48 | | | | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | | | End of split % 60.37/9.48 | | | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | | Case 2: % 60.37/9.48 | | | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | | | (2986) ~ (all_18_11 = e20) % 60.37/9.48 | | | | | | | | | | | | | | | | (2987) all_18_11 = e23 | all_18_11 = e22 | all_18_11 = % 60.37/9.48 | | | | | | | | | | | | | | | | e21 % 60.37/9.48 | | | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | | | REDUCE: (760), (2986) imply: % 60.37/9.48 | | | | | | | | | | | | | | | | (2988) ~ (all_14_14 = e20) % 60.37/9.48 | | | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11), (132), (140), (143), (146), (148), % 60.37/9.48 | | | | | | | | | | | | | | | | (153), (154), (155), (156), (160), (161), (168), % 60.37/9.48 | | | | | | | | | | | | | | | | (169), (238), (239), (241), (244), (245), (247), % 60.37/9.48 | | | | | | | | | | | | | | | | (249), (286), (287), (339), (342), (348), (349), % 60.37/9.48 | | | | | | | | | | | | | | | | (350), (352), (355), (357), (358), (568), (574), % 60.37/9.48 | | | | | | | | | | | | | | | | (577), (580), (583), (585), (590), (593), (597), % 60.37/9.48 | | | | | | | | | | | | | | | | (600), (604), (607), (610), (613), (616), (620), % 60.37/9.48 | | | | | | | | | | | | | | | | (673), (674), (677), (679), (681), (683), (685), % 60.37/9.48 | | | | | | | | | | | | | | | | (687), (691), (693), (694), (697), (698), (701), % 60.37/9.48 | | | | | | | | | | | | | | | | (738), (741), (746), (747), (748), (754), (760), % 60.37/9.48 | | | | | | | | | | | | | | | | (762), (811), (812), (822), (824), (826), (828), % 60.37/9.48 | | | | | | | | | | | | | | | | (830), (832), (833), (836), (837), (838), (840), % 60.37/9.48 | | | | | | | | | | | | | | | | (842), (844), (845), (847), (848), (849), (850), % 60.37/9.48 | | | | | | | | | | | | | | | | (851), (852), (853), (856), (861), (863), (2987), % 60.37/9.48 | | | | | | | | | | | | | | | | (2988) are inconsistent by sub-proof #66. % 60.37/9.48 | | | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | | End of split % 60.37/9.48 | | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | End of split % 60.37/9.48 | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | Case 2: % 60.37/9.48 | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | (2989) ~ (all_24_1 = e10) % 60.37/9.48 | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | REDUCE: (809), (2989) imply: % 60.37/9.48 | | | | | | | | | | | | | | (2990) ~ (all_12_4 = e10) % 60.37/9.48 | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | BETA: splitting (317) gives: % 60.37/9.48 | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | Case 1: % 60.37/9.48 | | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | | (2991) all_24_0 = e10 % 60.37/9.48 | | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | | COMBINE_EQS: (810), (2991) imply: % 60.37/9.48 | | | | | | | | | | | | | | | (2992) all_12_0 = e10 % 60.37/9.48 | | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | | SIMP: (2992) implies: % 60.37/9.48 | | | | | | | | | | | | | | | (2993) all_12_0 = e10 % 60.37/9.48 | | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | | REDUCE: (2005), (2993) imply: % 60.37/9.48 | | | | | | | | | | | | | | | (2994) $false % 60.37/9.48 | | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | | CLOSE: (2994) is inconsistent. % 60.37/9.48 | | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | Case 2: % 60.37/9.48 | | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | | (2995) all_24_1 = e10 | all_24_4 = e10 | all_24_9 = e10 % 60.37/9.48 | | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | | BETA: splitting (2995) gives: % 60.37/9.48 | | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | | Case 1: % 60.37/9.48 | | | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | | | (2996) all_24_1 = e10 % 60.37/9.48 | | | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | | | REF_CLOSE: (809), (2990), (2996) are inconsistent by % 60.37/9.48 | | | | | | | | | | | | | | | | sub-proof #65. % 60.37/9.48 | | | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | | Case 2: % 60.37/9.48 | | | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | | | (2997) all_24_4 = e10 | all_24_9 = e10 % 60.37/9.48 | | | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | | | BETA: splitting (2997) gives: % 60.37/9.48 | | | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | | | Case 1: % 60.37/9.48 | | | | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | | | | (2998) all_24_4 = e10 % 60.37/9.48 | | | | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | | | | REF_CLOSE: (641), (2038), (2998) are inconsistent by % 60.37/9.48 | | | | | | | | | | | | | | | | | sub-proof #16. % 60.37/9.48 | | | | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | | | Case 2: % 60.37/9.48 | | | | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | | | | (2999) all_24_9 = e10 % 60.37/9.48 | | | | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | | | | REF_CLOSE: (1062), (1071), (2999) are inconsistent by % 60.37/9.48 | | | | | | | | | | | | | | | | | sub-proof #64. % 60.37/9.48 | | | | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | | | End of split % 60.37/9.48 | | | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | | End of split % 60.37/9.48 | | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | End of split % 60.37/9.48 | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | End of split % 60.37/9.48 | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | Case 2: % 60.37/9.48 | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | (3000) all_16_6 = e13 | all_16_6 = e12 | all_16_6 = e11 % 60.37/9.48 | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | BETA: splitting (3000) gives: % 60.37/9.48 | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | Case 1: % 60.37/9.48 | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | (3001) all_16_6 = e12 % 60.37/9.48 | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | REF_CLOSE: (776), (871), (3001) are inconsistent by sub-proof % 60.37/9.48 | | | | | | | | | | | | | | #15. % 60.37/9.48 | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | Case 2: % 60.37/9.48 | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | (3002) all_16_6 = e13 | all_16_6 = e11 % 60.37/9.48 | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | BETA: splitting (3002) gives: % 60.37/9.48 | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | Case 1: % 60.37/9.48 | | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | | (3003) all_16_6 = e11 % 60.37/9.48 | | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | | COMBINE_EQS: (776), (3003) imply: % 60.37/9.48 | | | | | | | | | | | | | | | (3004) all_12_9 = e11 % 60.37/9.48 | | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | | SIMP: (3004) implies: % 60.37/9.48 | | | | | | | | | | | | | | | (3005) all_12_9 = e11 % 60.37/9.48 | | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | | COMBINE_EQS: (714), (3005) imply: % 60.37/9.48 | | | | | | | | | | | | | | | (3006) all_20_7 = e11 % 60.37/9.48 | | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | | COMBINE_EQS: (651), (3005) imply: % 60.37/9.48 | | | | | | | | | | | | | | | (3007) all_24_5 = e11 % 60.37/9.48 | | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | | REDUCE: (78), (3005) imply: % 60.37/9.48 | | | | | | | | | | | | | | | (3008) ~ (all_12_8 = e11) % 60.37/9.48 | | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | | REDUCE: (74), (3005) imply: % 60.37/9.48 | | | | | | | | | | | | | | | (3009) ~ (all_12_10 = e11) % 60.37/9.48 | | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | | SIMP: (3009) implies: % 60.37/9.48 | | | | | | | | | | | | | | | (3010) ~ (all_12_10 = e11) % 60.37/9.48 | | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | | BETA: splitting (1084) gives: % 60.37/9.48 | | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | | Case 1: % 60.37/9.48 | | | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | | | (3011) all_16_10 = e12 % 60.37/9.48 | | | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | | | COMBINE_EQS: (787), (3011) imply: % 60.37/9.48 | | | | | | | | | | | | | | | | (3012) all_12_10 = e12 % 60.37/9.48 | | | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | | | REDUCE: (873), (3012) imply: % 60.37/9.48 | | | | | | | | | | | | | | | | (3013) $false % 60.37/9.48 | | | | | | | | | | | | | | | | % 60.37/9.48 | | | | | | | | | | | | | | | | CLOSE: (3013) is inconsistent. % 60.37/9.48 | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | Case 2: % 60.37/9.49 | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | (3014) all_16_10 = e13 | all_16_10 = e11 % 60.37/9.49 | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | BETA: splitting (3014) gives: % 60.37/9.49 | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | Case 1: % 60.37/9.49 | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | (3015) all_16_10 = e11 % 60.37/9.49 | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | COMBINE_EQS: (787), (3015) imply: % 60.37/9.49 | | | | | | | | | | | | | | | | | (3016) all_12_10 = e11 % 60.37/9.49 | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | REDUCE: (3010), (3016) imply: % 60.37/9.49 | | | | | | | | | | | | | | | | | (3017) $false % 60.37/9.49 | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | CLOSE: (3017) is inconsistent. % 60.37/9.49 | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | Case 2: % 60.37/9.49 | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | (3018) all_16_10 = e13 % 60.37/9.49 | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | COMBINE_EQS: (787), (3018) imply: % 60.37/9.49 | | | | | | | | | | | | | | | | | (3019) all_12_10 = e13 % 60.37/9.49 | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | COMBINE_EQS: (721), (3019) imply: % 60.37/9.49 | | | | | | | | | | | | | | | | | (3020) all_20_14 = e13 % 60.37/9.49 | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | REDUCE: (97), (3019) imply: % 60.37/9.49 | | | | | | | | | | | | | | | | | (3021) ~ (all_12_2 = e13) % 60.37/9.49 | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | REDUCE: (82), (3019) imply: % 60.37/9.49 | | | | | | | | | | | | | | | | | (3022) ~ (all_12_6 = e13) % 60.37/9.49 | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | REDUCE: (77), (3019) imply: % 60.37/9.49 | | | | | | | | | | | | | | | | | (3023) ~ (all_12_8 = e13) % 60.37/9.49 | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | BETA: splitting (313) gives: % 60.37/9.49 | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | Case 1: % 60.37/9.49 | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | (3024) all_24_2 = e10 % 60.37/9.49 | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | REF_CLOSE: (646), (2006), (3024) are inconsistent by % 60.37/9.49 | | | | | | | | | | | | | | | | | | sub-proof #14. % 60.37/9.49 | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | Case 2: % 60.37/9.49 | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | (3025) all_24_3 = e10 | all_24_5 = e10 | all_24_10 = e10 % 60.37/9.49 | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives: % 60.37/9.49 | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | Case 1: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | (3026) all_16_2 = e10 % 60.37/9.49 | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (775), (3026) imply: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | (3027) all_12_8 = e10 % 60.37/9.49 | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | SIMP: (3027) implies: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | (3028) all_12_8 = e10 % 60.37/9.49 | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (713), (3028) imply: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | (3029) all_20_6 = e10 % 60.37/9.49 | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | REDUCE: (89), (3028) imply: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | (3030) ~ (all_12_4 = e10) % 60.37/9.49 | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | Case 1: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | (3031) all_16_1 = e10 % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (769), (3031) imply: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | (3032) all_12_4 = e10 % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | REDUCE: (3030), (3032) imply: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | (3033) $false % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | CLOSE: (3033) is inconsistent. % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | Case 2: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | (3034) ~ (all_16_1 = e10) % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | (3035) all_16_1 = e13 | all_16_1 = e12 | all_16_1 = e11 % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | BETA: splitting (3035) gives: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | Case 1: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | (3036) all_16_1 = e12 % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (769), (3036) imply: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | (3037) all_12_4 = e12 % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | REDUCE: (1067), (3037) imply: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | (3038) $false % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | CLOSE: (3038) is inconsistent. % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | Case 2: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | (3039) all_16_1 = e13 | all_16_1 = e11 % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3039) gives: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | Case 1: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | (3040) all_16_1 = e11 % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (769), (3040) imply: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | (3041) all_12_4 = e11 % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (558), (3041) imply: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | (3042) all_20_3 = e11 % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (91), (3041) imply: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | (3043) ~ (all_12_6 = e11) % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | SIMP: (3043) implies: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | (3044) ~ (all_12_6 = e11) % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2021), (3041) imply: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | (3045) ~ (e13 = e11) % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | (3046) all_16_9 = e10 % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (771), (1048), (3046) are inconsistent by % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #169. % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | (3047) ~ (all_16_9 = e10) % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | (3048) all_16_9 = e13 | all_16_9 = e12 | all_16_9 = e11 % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3048) gives: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | (3049) all_16_9 = e12 % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (771), (3049) imply: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | (3050) all_12_6 = e12 % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3050) implies: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | (3051) all_12_6 = e12 % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (525), (3051) imply: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | (3052) all_20_4 = e12 % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (98), (3051) imply: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | (3053) ~ (all_12_2 = e12) % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3025) gives: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | (3054) all_24_3 = e10 % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (648), (3054) imply: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | (3055) all_12_5 = e10 % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3055) implies: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | (3056) all_12_5 = e10 % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (711), (3056) imply: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | (3057) all_20_12 = e10 % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (267) gives: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | (3058) (all_20_10 = e13 & ( ~ (all_20_12 = e13) | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | all_20_0 = e12) & ( ~ (all_20_14 = e13) | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | all_20_1 = e11) & ( ~ (all_20_15 = e13) | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | all_20_2 = e10)) | (all_20_12 = e12 & ( ~ % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_10 = e12) | all_20_3 = e13) & ( ~ % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_14 = e12) | all_20_4 = e11) & ( ~ % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e12) | all_20_5 = e10)) % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3058) gives: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3059) all_20_10 = e13 & ( ~ (all_20_12 = e13) | all_20_0 % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e12) & ( ~ (all_20_14 = e13) | all_20_1 = e11) % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | & ( ~ (all_20_15 = e13) | all_20_2 = e10) % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3059) implies: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3060) all_20_10 = e13 % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3061) ~ (all_20_14 = e13) | all_20_1 = e11 % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3061) gives: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3062) ~ (all_20_14 = e13) % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3020), (3062) imply: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3063) $false % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3063) is inconsistent. % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3064) all_20_1 = e11 % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (717), (3064) imply: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3065) all_12_2 = e11 % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3065) implies: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3066) all_12_2 = e11 % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3053), (3066) imply: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3067) ~ (e12 = e11) % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (268) gives: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3068) (all_20_0 = e12 & all_20_14 = e13 & ~ (all_20_1 = % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_20_12 = e13)) | (all_20_0 = e12 % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_20_15 = e13 & ~ (all_20_2 = e10) & ~ % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_12 = e13)) | (all_20_1 = e11 & all_20_12 % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13 & ~ (all_20_0 = e12) & ~ (all_20_14 = % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13)) | (all_20_1 = e11 & all_20_15 = e13 & ~ % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_2 = e10) & ~ (all_20_14 = e13)) | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_2 = e10 & all_20_12 = e13 & ~ (all_20_0 = % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12) & ~ (all_20_15 = e13)) | (all_20_2 = e10 % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_20_14 = e13 & ~ (all_20_1 = e11) & ~ % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e13)) | (all_20_3 = e13 & all_20_14 % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e12 & ~ (all_20_4 = e11) & ~ (all_20_10 = % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12)) | (all_20_3 = e13 & all_20_15 = e12 & ~ % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_5 = e10) & ~ (all_20_10 = e12)) | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_4 = e11 & all_20_10 = e12 & ~ (all_20_3 = % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_20_14 = e12)) | (all_20_4 = e11 % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_20_15 = e12 & ~ (all_20_5 = e10) & ~ % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_14 = e12)) | (all_20_5 = e10 & all_20_10 % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e12 & ~ (all_20_3 = e13) & ~ (all_20_15 = % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12)) | (all_20_5 = e10 & all_20_14 = e12 & ~ % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_4 = e11) & ~ (all_20_15 = e12)) % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3068) gives: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3069) (all_20_0 = e12 & all_20_14 = e13 & ~ (all_20_1 = % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_20_12 = e13)) | (all_20_0 = e12 % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_20_15 = e13 & ~ (all_20_2 = e10) & ~ % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_12 = e13)) | (all_20_1 = e11 & all_20_12 % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13 & ~ (all_20_0 = e12) & ~ (all_20_14 = % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13)) | (all_20_1 = e11 & all_20_15 = e13 & ~ % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_2 = e10) & ~ (all_20_14 = e13)) | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_2 = e10 & all_20_12 = e13 & ~ (all_20_0 = % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12) & ~ (all_20_15 = e13)) | (all_20_2 = e10 % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_20_14 = e13 & ~ (all_20_1 = e11) & ~ % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e13)) % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3069) gives: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3070) (all_20_0 = e12 & all_20_14 = e13 & ~ (all_20_1 = % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_20_12 = e13)) | (all_20_0 = e12 % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_20_15 = e13 & ~ (all_20_2 = e10) & ~ % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_12 = e13)) | (all_20_1 = e11 & all_20_12 % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13 & ~ (all_20_0 = e12) & ~ (all_20_14 = % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13)) % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3070) gives: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3071) all_20_0 = e12 & all_20_14 = e13 & ~ (all_20_1 = % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_20_12 = e13) % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3071) implies: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3072) ~ (all_20_1 = e11) % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3064), (3072) imply: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3073) $false % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3073) is inconsistent. % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3074) (all_20_0 = e12 & all_20_15 = e13 & ~ (all_20_2 = % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10) & ~ (all_20_12 = e13)) | (all_20_1 = e11 % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_20_12 = e13 & ~ (all_20_0 = e12) & ~ % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_14 = e13)) % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3074) gives: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3075) all_20_0 = e12 & all_20_15 = e13 & ~ (all_20_2 = % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10) & ~ (all_20_12 = e13) % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3075) implies: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3076) all_20_15 = e13 % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (803), (878), (3076) are inconsistent by sub-proof % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #13. % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3077) all_20_1 = e11 & all_20_12 = e13 & ~ (all_20_0 = % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12) & ~ (all_20_14 = e13) % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3077) implies: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3078) all_20_12 = e13 % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (501), (804), (878), (1069), (2012), (2020), % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3057), (3078) are inconsistent by sub-proof #12. % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3079) (all_20_1 = e11 & all_20_15 = e13 & ~ (all_20_2 = % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10) & ~ (all_20_14 = e13)) | (all_20_2 = e10 % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_20_12 = e13 & ~ (all_20_0 = e12) & ~ % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e13)) | (all_20_2 = e10 & all_20_14 % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13 & ~ (all_20_1 = e11) & ~ (all_20_15 = % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13)) % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3079) gives: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3080) all_20_1 = e11 & all_20_15 = e13 & ~ (all_20_2 = % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10) & ~ (all_20_14 = e13) % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3080) implies: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3081) all_20_15 = e13 % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (803), (878), (3081) are inconsistent by sub-proof % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #13. % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3082) (all_20_2 = e10 & all_20_12 = e13 & ~ (all_20_0 = % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12) & ~ (all_20_15 = e13)) | (all_20_2 = e10 % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_20_14 = e13 & ~ (all_20_1 = e11) & ~ % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e13)) % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3082) gives: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3083) all_20_2 = e10 & all_20_12 = e13 & ~ (all_20_0 = % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12) & ~ (all_20_15 = e13) % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3083) implies: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3084) all_20_12 = e13 % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (501), (804), (878), (1069), (2012), (2020), % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3057), (3084) are inconsistent by sub-proof #12. % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3085) all_20_2 = e10 & all_20_14 = e13 & ~ (all_20_1 = % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_20_15 = e13) % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3085) implies: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3086) ~ (all_20_1 = e11) % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3064), (3086) imply: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3087) $false % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3087) is inconsistent. % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3088) (all_20_3 = e13 & all_20_14 = e12 & ~ (all_20_4 = % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_20_10 = e12)) | (all_20_3 = e13 % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_20_15 = e12 & ~ (all_20_5 = e10) & ~ % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_10 = e12)) | (all_20_4 = e11 & all_20_10 % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e12 & ~ (all_20_3 = e13) & ~ (all_20_14 = % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12)) | (all_20_4 = e11 & all_20_15 = e12 & ~ % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_5 = e10) & ~ (all_20_14 = e12)) | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_5 = e10 & all_20_10 = e12 & ~ (all_20_3 = % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_20_15 = e12)) | (all_20_5 = e10 % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_20_14 = e12 & ~ (all_20_4 = e11) & ~ % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e12)) % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3088) gives: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3089) (all_20_3 = e13 & all_20_14 = e12 & ~ (all_20_4 = % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_20_10 = e12)) | (all_20_3 = e13 % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_20_15 = e12 & ~ (all_20_5 = e10) & ~ % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_10 = e12)) | (all_20_4 = e11 & all_20_10 % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e12 & ~ (all_20_3 = e13) & ~ (all_20_14 = % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12)) % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3089) gives: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3090) all_20_3 = e13 & all_20_14 = e12 & ~ (all_20_4 = % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_20_10 = e12) % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3090) implies: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3091) all_20_14 = e12 % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3092) all_20_3 = e13 % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3042), (3092) imply: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3093) e13 = e11 % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3020), (3091) imply: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3094) e13 = e12 % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3093), (3094) imply: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3095) e12 = e11 % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3095) implies: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3096) e12 = e11 % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1070), (3096) imply: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3097) $false % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3097) is inconsistent. % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3098) (all_20_3 = e13 & all_20_15 = e12 & ~ (all_20_5 = % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10) & ~ (all_20_10 = e12)) | (all_20_4 = e11 % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_20_10 = e12 & ~ (all_20_3 = e13) & ~ % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_14 = e12)) % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3098) gives: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3099) all_20_3 = e13 & all_20_15 = e12 & ~ (all_20_5 = % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10) & ~ (all_20_10 = e12) % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3099) implies: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3100) all_20_15 = e12 % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (803), (1070), (3100) are inconsistent by % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #11. % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3101) all_20_4 = e11 & all_20_10 = e12 & ~ (all_20_3 = % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_20_14 = e12) % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3101) implies: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3102) all_20_4 = e11 % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3052), (3102) imply: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3103) e12 = e11 % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3103) implies: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3104) e12 = e11 % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1070), (3104) imply: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3105) $false % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3105) is inconsistent. % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3106) (all_20_4 = e11 & all_20_15 = e12 & ~ (all_20_5 = % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10) & ~ (all_20_14 = e12)) | (all_20_5 = e10 % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_20_10 = e12 & ~ (all_20_3 = e13) & ~ % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e12)) | (all_20_5 = e10 & all_20_14 % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e12 & ~ (all_20_4 = e11) & ~ (all_20_15 = % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12)) % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3106) gives: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3107) all_20_4 = e11 & all_20_15 = e12 & ~ (all_20_5 = % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10) & ~ (all_20_14 = e12) % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3107) implies: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3108) all_20_15 = e12 % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (803), (1070), (3108) are inconsistent by % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #11. % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3109) (all_20_5 = e10 & all_20_10 = e12 & ~ (all_20_3 = % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_20_15 = e12)) | (all_20_5 = e10 % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_20_14 = e12 & ~ (all_20_4 = e11) & ~ % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e12)) % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3109) gives: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3110) all_20_5 = e10 & all_20_10 = e12 & ~ (all_20_3 = % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_20_15 = e12) % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3110) implies: % 60.37/9.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3111) all_20_5 = e10 % 60.37/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2019), (3111) imply: % 60.37/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3112) e13 = e10 % 60.37/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (501), (804), (878), (1069), (2012), (2020), % 60.37/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3112) are inconsistent by sub-proof #32. % 60.37/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 60.37/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3113) all_20_5 = e10 & all_20_14 = e12 & ~ (all_20_4 = % 60.37/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_20_15 = e12) % 60.37/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3113) implies: % 60.37/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3114) all_20_14 = e12 % 60.37/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3115) all_20_5 = e10 % 60.37/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2019), (3115) imply: % 60.37/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3116) e13 = e10 % 60.37/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3116) implies: % 60.37/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3117) e13 = e10 % 60.37/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3020), (3114) imply: % 60.37/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3118) e13 = e12 % 60.37/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3117), (3118) imply: % 60.37/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3119) e12 = e10 % 60.37/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (501), (804), (878), (1069), (2012), (2020), % 60.37/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3118), (3119) are inconsistent by sub-proof #38. % 60.37/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 60.37/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 60.37/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 60.37/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 60.37/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 60.37/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3120) (all_20_6 = e13 & all_20_12 = e11 & ~ (all_20_7 = % 60.37/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12) & ~ (all_20_10 = e11)) | (all_20_6 = e13 % 60.37/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_20_15 = e11 & ~ (all_20_8 = e10) & ~ % 60.37/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_10 = e11)) | (all_20_7 = e12 & all_20_10 % 60.37/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e11 & ~ (all_20_6 = e13) & ~ (all_20_12 = % 60.37/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11)) | (all_20_7 = e12 & all_20_15 = e11 & ~ % 60.37/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_8 = e10) & ~ (all_20_12 = e11)) | % 60.37/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_8 = e10 & all_20_10 = e11 & ~ (all_20_6 = % 60.37/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_20_15 = e11)) | (all_20_8 = e10 % 60.37/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_20_12 = e11 & ~ (all_20_7 = e12) & ~ % 60.37/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e11)) | (all_20_9 = e13 & all_20_12 % 60.37/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10 & ~ (all_20_10 = e10) & ~ (all_20_11 = % 60.37/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12)) | (all_20_9 = e13 & all_20_14 = e10 & ~ % 60.37/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_10 = e10) & ~ (all_20_13 = e11)) | % 60.37/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_10 = e10 & all_20_11 = e12 & ~ (all_20_9 % 60.37/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_20_12 = e10)) | (all_20_10 = % 60.37/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10 & all_20_13 = e11 & ~ (all_20_9 = e13) & ~ % 60.37/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_14 = e10)) | (all_20_11 = e12 & % 60.37/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_20_14 = e10 & ~ (all_20_12 = e10) & ~ % 60.37/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_13 = e11)) | (all_20_12 = e10 & % 60.37/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_20_13 = e11 & ~ (all_20_11 = e12) & ~ % 60.37/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_14 = e10)) % 60.37/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3120) gives: % 60.37/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 60.37/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3121) (all_20_6 = e13 & all_20_12 = e11 & ~ (all_20_7 = % 60.37/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12) & ~ (all_20_10 = e11)) | (all_20_6 = e13 % 60.37/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_20_15 = e11 & ~ (all_20_8 = e10) & ~ % 60.37/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_10 = e11)) | (all_20_7 = e12 & all_20_10 % 60.37/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e11 & ~ (all_20_6 = e13) & ~ (all_20_12 = % 60.37/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11)) | (all_20_7 = e12 & all_20_15 = e11 & ~ % 60.37/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_8 = e10) & ~ (all_20_12 = e11)) | % 60.37/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_8 = e10 & all_20_10 = e11 & ~ (all_20_6 = % 60.37/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_20_15 = e11)) | (all_20_8 = e10 % 60.37/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_20_12 = e11 & ~ (all_20_7 = e12) & ~ % 60.37/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e11)) % 60.37/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3121) gives: % 60.37/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 60.37/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.37/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3122) (all_20_6 = e13 & all_20_12 = e11 & ~ (all_20_7 = % 60.37/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12) & ~ (all_20_10 = e11)) | (all_20_6 = e13 % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_20_15 = e11 & ~ (all_20_8 = e10) & ~ % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_10 = e11)) | (all_20_7 = e12 & all_20_10 % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e11 & ~ (all_20_6 = e13) & ~ (all_20_12 = % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11)) % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3122) gives: % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3123) all_20_6 = e13 & all_20_12 = e11 & ~ (all_20_7 = % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12) & ~ (all_20_10 = e11) % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3123) implies: % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3124) all_20_6 = e13 % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (501), (804), (878), (1069), (2012), (2020), % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3029), (3124) are inconsistent by sub-proof #10. % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3125) (all_20_6 = e13 & all_20_15 = e11 & ~ (all_20_8 = % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10) & ~ (all_20_10 = e11)) | (all_20_7 = e12 % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_20_10 = e11 & ~ (all_20_6 = e13) & ~ % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_12 = e11)) % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3125) gives: % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3126) all_20_6 = e13 & all_20_15 = e11 & ~ (all_20_8 = % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10) & ~ (all_20_10 = e11) % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3126) implies: % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3127) all_20_6 = e13 % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (501), (804), (878), (1069), (2012), (2020), % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3029), (3127) are inconsistent by sub-proof #10. % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3128) all_20_7 = e12 & all_20_10 = e11 & ~ (all_20_6 = % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_20_12 = e11) % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3128) implies: % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3129) all_20_7 = e12 % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3006), (3129) imply: % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3130) e12 = e11 % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1070), (3130) imply: % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3131) $false % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3131) is inconsistent. % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3132) (all_20_7 = e12 & all_20_15 = e11 & ~ (all_20_8 = % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10) & ~ (all_20_12 = e11)) | (all_20_8 = e10 % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_20_10 = e11 & ~ (all_20_6 = e13) & ~ % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e11)) | (all_20_8 = e10 & all_20_12 % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e11 & ~ (all_20_7 = e12) & ~ (all_20_15 = % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11)) % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3132) gives: % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3133) all_20_7 = e12 & all_20_15 = e11 & ~ (all_20_8 = % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10) & ~ (all_20_12 = e11) % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3133) implies: % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3134) all_20_7 = e12 % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3006), (3134) imply: % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3135) e12 = e11 % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1070), (3135) imply: % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3136) $false % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3136) is inconsistent. % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3137) (all_20_8 = e10 & all_20_10 = e11 & ~ (all_20_6 = % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_20_15 = e11)) | (all_20_8 = e10 % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_20_12 = e11 & ~ (all_20_7 = e12) & ~ % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e11)) % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3137) gives: % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3138) all_20_8 = e10 & all_20_10 = e11 & ~ (all_20_6 = % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_20_15 = e11) % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3138) implies: % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3139) all_20_8 = e10 % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (505), (1071), (3139) are inconsistent by % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #9. % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3140) all_20_8 = e10 & all_20_12 = e11 & ~ (all_20_7 = % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12) & ~ (all_20_15 = e11) % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3140) implies: % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3141) all_20_12 = e11 % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3057), (3141) imply: % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3142) e11 = e10 % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (3142) imply: % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3143) $false % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3143) is inconsistent. % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3144) (all_20_9 = e13 & all_20_12 = e10 & ~ (all_20_10 % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_20_11 = e12)) | (all_20_9 = % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13 & all_20_14 = e10 & ~ (all_20_10 = e10) & % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_20_13 = e11)) | (all_20_10 = e10 & % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_20_11 = e12 & ~ (all_20_9 = e13) & ~ % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_12 = e10)) | (all_20_10 = e10 & % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_20_13 = e11 & ~ (all_20_9 = e13) & ~ % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_14 = e10)) | (all_20_11 = e12 & % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_20_14 = e10 & ~ (all_20_12 = e10) & ~ % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_13 = e11)) | (all_20_12 = e10 & % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_20_13 = e11 & ~ (all_20_11 = e12) & ~ % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_14 = e10)) % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3144) gives: % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3145) (all_20_9 = e13 & all_20_12 = e10 & ~ (all_20_10 % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_20_11 = e12)) | (all_20_9 = % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13 & all_20_14 = e10 & ~ (all_20_10 = e10) & % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_20_13 = e11)) | (all_20_10 = e10 & % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_20_11 = e12 & ~ (all_20_9 = e13) & ~ % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_12 = e10)) % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3145) gives: % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3146) all_20_9 = e13 & all_20_12 = e10 & ~ (all_20_10 = % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10) & ~ (all_20_11 = e12) % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3146) implies: % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3147) all_20_9 = e13 % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1065), (3147) imply: % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3148) e13 = e12 % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1069), (3148) imply: % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3149) $false % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3149) is inconsistent. % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3150) (all_20_9 = e13 & all_20_14 = e10 & ~ (all_20_10 % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_20_13 = e11)) | (all_20_10 = % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10 & all_20_11 = e12 & ~ (all_20_9 = e13) & ~ % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_12 = e10)) % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3150) gives: % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3151) all_20_9 = e13 & all_20_14 = e10 & ~ (all_20_10 = % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10) & ~ (all_20_13 = e11) % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3151) implies: % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3152) all_20_14 = e10 % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3153) all_20_9 = e13 % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1065), (3153) imply: % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3154) e13 = e12 % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3020), (3152) imply: % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3155) e13 = e10 % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3154), (3155) imply: % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3156) e12 = e10 % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (501), (804), (878), (1069), (2012), (2020), % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3154), (3156) are inconsistent by sub-proof #38. % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3157) all_20_10 = e10 & all_20_11 = e12 & ~ (all_20_9 = % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_20_12 = e10) % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3157) implies: % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3158) all_20_10 = e10 % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3060), (3158) imply: % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3159) e13 = e10 % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (501), (804), (878), (1069), (2012), (2020), % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3159) are inconsistent by sub-proof #32. % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3160) (all_20_10 = e10 & all_20_13 = e11 & ~ (all_20_9 % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_20_14 = e10)) | (all_20_11 = % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12 & all_20_14 = e10 & ~ (all_20_12 = e10) & % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_20_13 = e11)) | (all_20_12 = e10 & % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_20_13 = e11 & ~ (all_20_11 = e12) & ~ % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_14 = e10)) % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3160) gives: % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3161) all_20_10 = e10 & all_20_13 = e11 & ~ (all_20_9 = % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_20_14 = e10) % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3161) implies: % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3162) all_20_10 = e10 % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3060), (3162) imply: % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3163) e13 = e10 % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (501), (804), (878), (1069), (2012), (2020), % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3163) are inconsistent by sub-proof #32. % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3164) (all_20_11 = e12 & all_20_14 = e10 & ~ (all_20_12 % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_20_13 = e11)) | (all_20_12 = % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10 & all_20_13 = e11 & ~ (all_20_11 = e12) & % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_20_14 = e10)) % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3164) gives: % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3165) all_20_11 = e12 & all_20_14 = e10 & ~ (all_20_12 % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_20_13 = e11) % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3165) implies: % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3166) all_20_14 = e10 % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3020), (3166) imply: % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3167) e13 = e10 % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2020), (3167) imply: % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3168) all_24_13 = e10 % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (501), (804), (878), (1069), (2012), (3168) % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #48. % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3169) all_20_12 = e10 & all_20_13 = e11 & ~ (all_20_11 % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e12) & ~ (all_20_14 = e10) % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3169) implies: % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3170) all_20_13 = e11 % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1046), (3170) imply: % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3171) e11 = e10 % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3171) implies: % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3172) e11 = e10 % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (3172) imply: % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3173) $false % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3173) is inconsistent. % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3174) all_20_12 = e12 & ( ~ (all_20_10 = e12) | all_20_3 % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ( ~ (all_20_14 = e12) | all_20_4 = e11) % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | & ( ~ (all_20_15 = e12) | all_20_5 = e10) % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3174) implies: % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3175) all_20_12 = e12 % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3057), (3175) imply: % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3176) e12 = e10 % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1071), (3176) imply: % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3177) $false % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3177) is inconsistent. % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (3178) (all_20_14 = e11 & ( ~ (all_20_10 = e11) | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | all_20_6 = e13) & ( ~ (all_20_12 = e11) | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | all_20_7 = e12) & ( ~ (all_20_15 = e11) | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | all_20_8 = e10)) | (all_20_15 = e10 & ( ~ % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_10 = e10) | all_20_9 = e13) & ( ~ % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_12 = e10) | all_20_11 = e12) & ( ~ % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_20_14 = e10) | all_20_13 = e11)) % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3178) gives: % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3179) all_20_14 = e11 & ( ~ (all_20_10 = e11) | all_20_6 % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ( ~ (all_20_12 = e11) | all_20_7 = e12) % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | & ( ~ (all_20_15 = e11) | all_20_8 = e10) % 60.46/9.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (505), (803), (1071), (3179) are inconsistent by % 60.46/9.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #51. % 60.46/9.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.51 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 60.46/9.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3180) all_20_15 = e10 & ( ~ (all_20_10 = e10) | all_20_9 % 60.46/9.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e13) & ( ~ (all_20_12 = e10) | all_20_11 = % 60.46/9.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | e12) & ( ~ (all_20_14 = e10) | all_20_13 = e11) % 60.46/9.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (803), (3180) are inconsistent by sub-proof % 60.46/9.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | #17. % 60.46/9.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.51 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 60.46/9.51 | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.51 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 60.46/9.51 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.51 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 60.46/9.51 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.51 | | | | | | | | | | | | | | | | | | | | | | | | | (3181) all_24_5 = e10 | all_24_10 = e10 % 60.46/9.51 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.51 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3181) gives: % 60.46/9.51 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.51 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 60.46/9.51 | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (3182) all_24_5 = e10 % 60.46/9.51 | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.51 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3007), (3182) imply: % 60.46/9.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (3183) e11 = e10 % 60.46/9.51 | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.51 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3183) implies: % 60.46/9.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (3184) e11 = e10 % 60.46/9.51 | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.51 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (3184) imply: % 60.46/9.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (3185) $false % 60.46/9.51 | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.51 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3185) is inconsistent. % 60.46/9.51 | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.51 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 60.46/9.51 | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (3186) all_24_10 = e10 % 60.46/9.51 | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.51 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (535), (3186) imply: % 60.46/9.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (3187) e13 = e10 % 60.46/9.51 | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.51 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (501), (804), (878), (1069), (2012), (2020), % 60.46/9.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (3187) are inconsistent by sub-proof #32. % 60.46/9.51 | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.51 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 60.46/9.51 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.51 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 60.46/9.51 | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.51 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 60.46/9.51 | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.51 | | | | | | | | | | | | | | | | | | | | | | | | (3188) all_16_9 = e13 | all_16_9 = e11 % 60.46/9.51 | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.51 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (771), (3022), (3044), (3188) are inconsistent by % 60.46/9.51 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #8. % 60.46/9.51 | | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.51 | | | | | | | | | | | | | | | | | | | | | | | End of split % 60.46/9.51 | | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.51 | | | | | | | | | | | | | | | | | | | | | | End of split % 60.46/9.51 | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.51 | | | | | | | | | | | | | | | | | | | | | Case 2: % 60.46/9.51 | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.51 | | | | | | | | | | | | | | | | | | | | | | (3189) all_16_1 = e13 % 60.46/9.51 | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.51 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (769), (3189) imply: % 60.46/9.51 | | | | | | | | | | | | | | | | | | | | | | (3190) all_12_4 = e13 % 60.46/9.51 | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.51 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2021), (3190) imply: % 60.46/9.51 | | | | | | | | | | | | | | | | | | | | | | (3191) $false % 60.46/9.51 | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.51 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3191) is inconsistent. % 60.46/9.51 | | | | | | | | | | | | | | | | | | | | | | % 60.46/9.51 | | | | | | | | | | | | | | | | | | | | | End of split % 60.46/9.51 | | | | | | | | | | | | | | | | | | | | | % 60.46/9.51 | | | | | | | | | | | | | | | | | | | | End of split % 60.46/9.51 | | | | | | | | | | | | | | | | | | | | % 60.46/9.51 | | | | | | | | | | | | | | | | | | | End of split % 60.46/9.51 | | | | | | | | | | | | | | | | | | | % 60.46/9.51 | | | | | | | | | | | | | | | | | | Case 2: % 60.46/9.51 | | | | | | | | | | | | | | | | | | | % 60.46/9.51 | | | | | | | | | | | | | | | | | | | (3192) all_16_2 = e13 | all_16_2 = e12 | all_16_2 = e11 % 60.46/9.51 | | | | | | | | | | | | | | | | | | | % 60.46/9.51 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (775), (870), (3008), (3023), (3192) are % 60.46/9.51 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #30. % 60.46/9.51 | | | | | | | | | | | | | | | | | | | % 60.46/9.51 | | | | | | | | | | | | | | | | | | End of split % 60.46/9.51 | | | | | | | | | | | | | | | | | | % 60.46/9.51 | | | | | | | | | | | | | | | | | End of split % 60.46/9.51 | | | | | | | | | | | | | | | | | % 60.46/9.51 | | | | | | | | | | | | | | | | End of split % 60.46/9.51 | | | | | | | | | | | | | | | | % 60.46/9.51 | | | | | | | | | | | | | | | End of split % 60.46/9.51 | | | | | | | | | | | | | | | % 60.46/9.51 | | | | | | | | | | | | | | Case 2: % 60.46/9.51 | | | | | | | | | | | | | | | % 60.46/9.51 | | | | | | | | | | | | | | | (3193) all_16_6 = e13 % 60.46/9.51 | | | | | | | | | | | | | | | % 60.46/9.51 | | | | | | | | | | | | | | | REF_CLOSE: (776), (872), (3193) are inconsistent by sub-proof % 60.46/9.51 | | | | | | | | | | | | | | | #7. % 60.46/9.51 | | | | | | | | | | | | | | | % 60.46/9.51 | | | | | | | | | | | | | | End of split % 60.46/9.51 | | | | | | | | | | | | | | % 60.46/9.51 | | | | | | | | | | | | | End of split % 60.46/9.51 | | | | | | | | | | | | | % 60.46/9.51 | | | | | | | | | | | | End of split % 60.46/9.51 | | | | | | | | | | | | % 60.46/9.51 | | | | | | | | | | | End of split % 60.46/9.51 | | | | | | | | | | | % 60.46/9.51 | | | | | | | | | | End of split % 60.46/9.51 | | | | | | | | | | % 60.46/9.51 | | | | | | | | | End of split % 60.46/9.51 | | | | | | | | | % 60.46/9.51 | | | | | | | | End of split % 60.46/9.51 | | | | | | | | % 60.46/9.51 | | | | | | | Case 2: % 60.46/9.51 | | | | | | | | % 60.46/9.51 | | | | | | | | (3194) all_24_13 = e10 | all_24_14 = e10 % 60.46/9.51 | | | | | | | | % 60.46/9.51 | | | | | | | | BETA: splitting (3194) gives: % 60.46/9.51 | | | | | | | | % 60.46/9.51 | | | | | | | | Case 1: % 60.46/9.51 | | | | | | | | | % 60.46/9.51 | | | | | | | | | (3195) all_24_13 = e10 % 60.46/9.51 | | | | | | | | | % 60.46/9.51 | | | | | | | | | COMBINE_EQS: (805), (3195) imply: % 60.46/9.51 | | | | | | | | | (3196) all_12_7 = e10 % 60.46/9.51 | | | | | | | | | % 60.46/9.51 | | | | | | | | | SIMP: (3196) implies: % 60.46/9.51 | | | | | | | | | (3197) all_12_7 = e10 % 60.46/9.51 | | | | | | | | | % 60.46/9.51 | | | | | | | | | REDUCE: (1998), (3197) imply: % 60.46/9.51 | | | | | | | | | (3198) $false % 60.46/9.51 | | | | | | | | | % 60.46/9.51 | | | | | | | | | CLOSE: (3198) is inconsistent. % 60.46/9.51 | | | | | | | | | % 60.46/9.51 | | | | | | | | Case 2: % 60.46/9.51 | | | | | | | | | % 60.46/9.51 | | | | | | | | | (3199) all_24_14 = e10 % 60.46/9.51 | | | | | | | | | % 60.46/9.51 | | | | | | | | | REF_CLOSE: (804), (1071), (3199) are inconsistent by sub-proof % 60.46/9.51 | | | | | | | | | #6. % 60.46/9.51 | | | | | | | | | % 60.46/9.51 | | | | | | | | End of split % 60.46/9.51 | | | | | | | | % 60.46/9.51 | | | | | | | End of split % 60.46/9.51 | | | | | | | % 60.46/9.51 | | | | | | End of split % 60.46/9.51 | | | | | | % 60.46/9.51 | | | | | End of split % 60.46/9.51 | | | | | % 60.46/9.51 | | | | End of split % 60.46/9.51 | | | | % 60.46/9.51 | | | Case 2: % 60.46/9.51 | | | | % 60.46/9.51 | | | | (3200) ~ (all_24_9 = e12) % 60.46/9.51 | | | | % 60.46/9.51 | | | | REDUCE: (807), (3200) imply: % 60.46/9.51 | | | | (3201) ~ (all_12_12 = e12) % 60.46/9.51 | | | | % 60.46/9.51 | | | | BETA: splitting (1061) gives: % 60.46/9.51 | | | | % 60.46/9.51 | | | | Case 1: % 60.46/9.51 | | | | | % 60.46/9.51 | | | | | (3202) all_16_3 = e12 % 60.46/9.51 | | | | | % 60.46/9.51 | | | | | COMBINE_EQS: (779), (3202) imply: % 60.46/9.51 | | | | | (3203) all_12_12 = e12 % 60.46/9.51 | | | | | % 60.46/9.51 | | | | | SIMP: (3203) implies: % 60.46/9.51 | | | | | (3204) all_12_12 = e12 % 60.46/9.51 | | | | | % 60.46/9.51 | | | | | REDUCE: (3201), (3204) imply: % 60.46/9.51 | | | | | (3205) $false % 60.46/9.51 | | | | | % 60.46/9.51 | | | | | CLOSE: (3205) is inconsistent. % 60.46/9.51 | | | | | % 60.46/9.51 | | | | Case 2: % 60.46/9.51 | | | | | % 60.46/9.51 | | | | | (3206) all_16_3 = e13 | all_16_3 = e11 % 60.46/9.51 | | | | | % 60.46/9.51 | | | | | BETA: splitting (3206) gives: % 60.46/9.51 | | | | | % 60.46/9.51 | | | | | Case 1: % 60.46/9.51 | | | | | | % 60.46/9.51 | | | | | | (3207) all_16_3 = e11 % 60.46/9.51 | | | | | | % 60.46/9.51 | | | | | | COMBINE_EQS: (779), (3207) imply: % 60.46/9.51 | | | | | | (3208) all_12_12 = e11 % 60.46/9.51 | | | | | | % 60.46/9.51 | | | | | | SIMP: (3208) implies: % 60.46/9.51 | | | | | | (3209) all_12_12 = e11 % 60.46/9.51 | | | | | | % 60.46/9.51 | | | | | | REDUCE: (875), (3209) imply: % 60.46/9.51 | | | | | | (3210) $false % 60.46/9.51 | | | | | | % 60.46/9.51 | | | | | | CLOSE: (3210) is inconsistent. % 60.46/9.51 | | | | | | % 60.46/9.51 | | | | | Case 2: % 60.46/9.51 | | | | | | % 60.46/9.51 | | | | | | (3211) all_16_3 = e13 % 60.46/9.51 | | | | | | % 60.46/9.51 | | | | | | COMBINE_EQS: (779), (3211) imply: % 60.46/9.51 | | | | | | (3212) all_12_12 = e13 % 60.46/9.51 | | | | | | % 60.46/9.51 | | | | | | SIMP: (3212) implies: % 60.46/9.51 | | | | | | (3213) all_12_12 = e13 % 60.46/9.51 | | | | | | % 60.46/9.51 | | | | | | REDUCE: (874), (3213) imply: % 60.46/9.51 | | | | | | (3214) $false % 60.46/9.51 | | | | | | % 60.46/9.51 | | | | | | CLOSE: (3214) is inconsistent. % 60.46/9.51 | | | | | | % 60.46/9.51 | | | | | End of split % 60.46/9.51 | | | | | % 60.46/9.51 | | | | End of split % 60.46/9.51 | | | | % 60.46/9.51 | | | End of split % 60.46/9.51 | | | % 60.46/9.51 | | End of split % 60.46/9.51 | | % 60.46/9.51 | Case 2: % 60.46/9.51 | | % 60.46/9.51 | | (3215) ~ (all_16_11 = e10) % 60.46/9.51 | | (3216) all_16_11 = e13 | all_16_11 = e12 | all_16_11 = e11 % 60.46/9.51 | | % 60.46/9.51 | | REDUCE: (785), (3215) imply: % 60.46/9.51 | | (3217) ~ (all_12_14 = e10) % 60.46/9.51 | | % 60.46/9.51 | | BETA: splitting (3216) gives: % 60.46/9.51 | | % 60.46/9.51 | | Case 1: % 60.46/9.51 | | | % 60.46/9.51 | | | (3218) all_16_11 = e12 % 60.46/9.51 | | | % 60.46/9.51 | | | COMBINE_EQS: (785), (3218) imply: % 60.46/9.51 | | | (3219) all_12_14 = e12 % 60.46/9.51 | | | % 60.46/9.51 | | | COMBINE_EQS: (727), (3219) imply: % 60.46/9.51 | | | (3220) all_20_13 = e12 % 60.46/9.51 | | | % 60.46/9.51 | | | COMBINE_EQS: (662), (3219) imply: % 60.46/9.51 | | | (3221) all_24_11 = e12 % 60.46/9.51 | | | % 60.46/9.51 | | | REDUCE: (96), (3219) imply: % 60.46/9.51 | | | (3222) ~ (all_12_2 = e12) % 60.46/9.51 | | | % 60.46/9.51 | | | REDUCE: (81), (3219) imply: % 60.46/9.51 | | | (3223) ~ (all_12_6 = e12) % 60.46/9.51 | | | % 60.46/9.51 | | | REDUCE: (877), (3219) imply: % 60.46/9.51 | | | (3224) ~ (e13 = e12) % 60.46/9.51 | | | % 60.46/9.51 | | | SIMP: (3224) implies: % 60.46/9.51 | | | (3225) ~ (e13 = e12) % 60.46/9.51 | | | % 60.46/9.51 | | | REDUCE: (879), (3219) imply: % 60.46/9.51 | | | (3226) ~ (e12 = e11) % 60.46/9.51 | | | % 60.46/9.51 | | | REDUCE: (3217), (3219) imply: % 60.46/9.51 | | | (3227) ~ (e12 = e10) % 60.46/9.51 | | | % 60.46/9.51 | | | BETA: splitting (218) gives: % 60.46/9.51 | | | % 60.46/9.51 | | | Case 1: % 60.46/9.51 | | | | % 60.46/9.51 | | | | (3228) all_16_3 = e10 % 60.46/9.51 | | | | % 60.46/9.51 | | | | COMBINE_EQS: (779), (3228) imply: % 60.46/9.51 | | | | (3229) all_12_12 = e10 % 60.46/9.51 | | | | % 60.46/9.51 | | | | SIMP: (3229) implies: % 60.46/9.51 | | | | (3230) all_12_12 = e10 % 60.46/9.51 | | | | % 60.46/9.51 | | | | COMBINE_EQS: (644), (3230) imply: % 60.46/9.51 | | | | (3231) all_20_9 = e10 % 60.46/9.51 | | | | % 60.46/9.51 | | | | COMBINE_EQS: (807), (3230) imply: % 60.46/9.51 | | | | (3232) all_24_9 = e10 % 60.46/9.51 | | | | % 60.46/9.51 | | | | REDUCE: (105), (3230) imply: % 60.46/9.51 | | | | (3233) ~ (all_12_0 = e10) % 60.46/9.51 | | | | % 60.46/9.51 | | | | REDUCE: (88), (3230) imply: % 60.46/9.51 | | | | (3234) ~ (all_12_4 = e10) % 60.46/9.51 | | | | % 60.46/9.51 | | | | REDUCE: (75), (3230) imply: % 60.46/9.51 | | | | (3235) ~ (all_12_8 = e10) % 60.46/9.51 | | | | % 60.46/9.51 | | | | REDUCE: (874), (3230) imply: % 60.46/9.51 | | | | (3236) ~ (e13 = e10) % 60.46/9.51 | | | | % 60.46/9.51 | | | | REDUCE: (875), (3230) imply: % 60.46/9.51 | | | | (3237) ~ (e11 = e10) % 60.46/9.51 | | | | % 60.46/9.51 | | | | BETA: splitting (219) gives: % 60.46/9.51 | | | | % 60.46/9.51 | | | | Case 1: % 60.46/9.51 | | | | | % 60.46/9.51 | | | | | (3238) all_16_2 = e10 % 60.46/9.51 | | | | | % 60.46/9.51 | | | | | COMBINE_EQS: (775), (3238) imply: % 60.46/9.51 | | | | | (3239) all_12_8 = e10 % 60.46/9.51 | | | | | % 60.46/9.51 | | | | | REDUCE: (3235), (3239) imply: % 60.46/9.51 | | | | | (3240) $false % 60.46/9.51 | | | | | % 60.46/9.51 | | | | | CLOSE: (3240) is inconsistent. % 60.46/9.51 | | | | | % 60.46/9.51 | | | | Case 2: % 60.46/9.51 | | | | | % 60.46/9.51 | | | | | (3241) ~ (all_16_2 = e10) % 60.46/9.51 | | | | | (3242) all_16_2 = e13 | all_16_2 = e12 | all_16_2 = e11 % 60.46/9.51 | | | | | % 60.46/9.51 | | | | | BETA: splitting (209) gives: % 60.46/9.51 | | | | | % 60.46/9.51 | | | | | Case 1: % 60.46/9.51 | | | | | | % 60.46/9.51 | | | | | | (3243) all_16_13 = e10 % 60.46/9.51 | | | | | | % 60.46/9.51 | | | | | | COMBINE_EQS: (773), (3243) imply: % 60.46/9.51 | | | | | | (3244) all_12_7 = e10 % 60.46/9.51 | | | | | | % 60.46/9.51 | | | | | | SIMP: (3244) implies: % 60.46/9.51 | | | | | | (3245) all_12_7 = e10 % 60.46/9.51 | | | | | | % 60.46/9.51 | | | | | | COMBINE_EQS: (805), (3245) imply: % 60.46/9.51 | | | | | | (3246) all_24_13 = e10 % 60.46/9.51 | | | | | | % 60.46/9.51 | | | | | | REDUCE: (868), (3245) imply: % 60.46/9.51 | | | | | | (3247) ~ (e12 = e10) % 60.46/9.51 | | | | | | % 60.46/9.51 | | | | | | BETA: splitting (306) gives: % 60.46/9.51 | | | | | | % 60.46/9.51 | | | | | | Case 1: % 60.46/9.51 | | | | | | | % 60.46/9.51 | | | | | | | (3248) all_24_12 = e13 % 60.46/9.51 | | | | | | | % 60.46/9.51 | | | | | | | COMBINE_EQS: (806), (3248) imply: % 60.46/9.51 | | | | | | | (3249) all_12_3 = e13 % 60.46/9.51 | | | | | | | % 60.46/9.51 | | | | | | | SIMP: (3249) implies: % 60.46/9.51 | | | | | | | (3250) all_12_3 = e13 % 60.46/9.51 | | | | | | | % 60.46/9.51 | | | | | | | COMBINE_EQS: (513), (3250) imply: % 60.46/9.51 | | | | | | | (3251) all_20_2 = e13 % 60.46/9.51 | | | | | | | % 60.46/9.51 | | | | | | | REDUCE: (108), (3250) imply: % 60.46/9.51 | | | | | | | (3252) ~ (all_12_0 = e13) % 60.46/9.51 | | | | | | | % 60.46/9.51 | | | | | | | BETA: splitting (267) gives: % 60.46/9.51 | | | | | | | % 60.46/9.51 | | | | | | | Case 1: % 60.46/9.51 | | | | | | | | % 60.46/9.51 | | | | | | | | (3253) (all_20_10 = e13 & ( ~ (all_20_12 = e13) | all_20_0 = % 60.46/9.51 | | | | | | | | e12) & ( ~ (all_20_14 = e13) | all_20_1 = e11) & ( % 60.46/9.51 | | | | | | | | ~ (all_20_15 = e13) | all_20_2 = e10)) | % 60.46/9.51 | | | | | | | | (all_20_12 = e12 & ( ~ (all_20_10 = e12) | all_20_3 = % 60.46/9.51 | | | | | | | | e13) & ( ~ (all_20_14 = e12) | all_20_4 = e11) & ( % 60.46/9.51 | | | | | | | | ~ (all_20_15 = e12) | all_20_5 = e10)) % 60.46/9.51 | | | | | | | | % 60.46/9.51 | | | | | | | | BETA: splitting (3253) gives: % 60.46/9.51 | | | | | | | | % 60.46/9.51 | | | | | | | | Case 1: % 60.46/9.51 | | | | | | | | | % 60.46/9.51 | | | | | | | | | (3254) all_20_10 = e13 & ( ~ (all_20_12 = e13) | all_20_0 = % 60.46/9.51 | | | | | | | | | e12) & ( ~ (all_20_14 = e13) | all_20_1 = e11) & ( % 60.46/9.51 | | | | | | | | | ~ (all_20_15 = e13) | all_20_2 = e10) % 60.46/9.51 | | | | | | | | | % 60.46/9.51 | | | | | | | | | REF_CLOSE: (636), (3252), (3254) are inconsistent by sub-proof % 60.46/9.51 | | | | | | | | | #181. % 60.46/9.51 | | | | | | | | | % 60.46/9.51 | | | | | | | | Case 2: % 60.46/9.51 | | | | | | | | | % 60.46/9.51 | | | | | | | | | (3255) all_20_12 = e12 & ( ~ (all_20_10 = e12) | all_20_3 = % 60.46/9.51 | | | | | | | | | e13) & ( ~ (all_20_14 = e12) | all_20_4 = e11) & ( % 60.46/9.51 | | | | | | | | | ~ (all_20_15 = e12) | all_20_5 = e10) % 60.46/9.51 | | | | | | | | | % 60.46/9.51 | | | | | | | | | ALPHA: (3255) implies: % 60.46/9.51 | | | | | | | | | (3256) all_20_12 = e12 % 60.46/9.51 | | | | | | | | | (3257) ~ (all_20_10 = e12) | all_20_3 = e13 % 60.46/9.51 | | | | | | | | | % 60.46/9.52 | | | | | | | | | COMBINE_EQS: (711), (3256) imply: % 60.46/9.52 | | | | | | | | | (3258) all_12_5 = e12 % 60.46/9.52 | | | | | | | | | % 60.46/9.52 | | | | | | | | | SIMP: (3258) implies: % 60.46/9.52 | | | | | | | | | (3259) all_12_5 = e12 % 60.46/9.52 | | | | | | | | | % 60.46/9.52 | | | | | | | | | REDUCE: (102), (3259) imply: % 60.46/9.52 | | | | | | | | | (3260) ~ (all_12_1 = e12) % 60.46/9.52 | | | | | | | | | % 60.46/9.52 | | | | | | | | | REDUCE: (85), (3259) imply: % 60.46/9.52 | | | | | | | | | (3261) ~ (all_12_9 = e12) % 60.46/9.52 | | | | | | | | | % 60.46/9.52 | | | | | | | | | BETA: splitting (319) gives: % 60.46/9.52 | | | | | | | | | % 60.46/9.52 | | | | | | | | | Case 1: % 60.46/9.52 | | | | | | | | | | % 60.46/9.52 | | | | | | | | | | (3262) all_24_0 = e12 % 60.46/9.52 | | | | | | | | | | % 60.46/9.52 | | | | | | | | | | COMBINE_EQS: (810), (3262) imply: % 60.46/9.52 | | | | | | | | | | (3263) all_12_0 = e12 % 60.46/9.52 | | | | | | | | | | % 60.46/9.52 | | | | | | | | | | SIMP: (3263) implies: % 60.46/9.52 | | | | | | | | | | (3264) all_12_0 = e12 % 60.46/9.52 | | | | | | | | | | % 60.46/9.52 | | | | | | | | | | COMBINE_EQS: (636), (3264) imply: % 60.46/9.52 | | | | | | | | | | (3265) all_20_10 = e12 % 60.46/9.52 | | | | | | | | | | % 60.46/9.52 | | | | | | | | | | REDUCE: (110), (3264) imply: % 60.46/9.52 | | | | | | | | | | (3266) ~ (all_12_1 = e12) % 60.46/9.52 | | | | | | | | | | % 60.46/9.52 | | | | | | | | | | REDUCE: (107), (3264) imply: % 60.46/9.52 | | | | | | | | | | (3267) ~ (all_12_4 = e12) % 60.46/9.52 | | | | | | | | | | % 60.46/9.52 | | | | | | | | | | SIMP: (3267) implies: % 60.46/9.52 | | | | | | | | | | (3268) ~ (all_12_4 = e12) % 60.46/9.52 | | | | | | | | | | % 60.46/9.52 | | | | | | | | | | BETA: splitting (3257) gives: % 60.46/9.52 | | | | | | | | | | % 60.46/9.52 | | | | | | | | | | Case 1: % 60.46/9.52 | | | | | | | | | | | % 60.46/9.52 | | | | | | | | | | | (3269) ~ (all_20_10 = e12) % 60.46/9.52 | | | | | | | | | | | % 60.46/9.52 | | | | | | | | | | | REDUCE: (3265), (3269) imply: % 60.46/9.52 | | | | | | | | | | | (3270) $false % 60.46/9.52 | | | | | | | | | | | % 60.46/9.52 | | | | | | | | | | | CLOSE: (3270) is inconsistent. % 60.46/9.52 | | | | | | | | | | | % 60.46/9.52 | | | | | | | | | | Case 2: % 60.46/9.52 | | | | | | | | | | | % 60.46/9.52 | | | | | | | | | | | (3271) all_20_3 = e13 % 60.46/9.52 | | | | | | | | | | | % 60.46/9.52 | | | | | | | | | | | COMBINE_EQS: (558), (3271) imply: % 60.46/9.52 | | | | | | | | | | | (3272) all_12_4 = e13 % 60.46/9.52 | | | | | | | | | | | % 60.46/9.52 | | | | | | | | | | | SIMP: (3272) implies: % 60.46/9.52 | | | | | | | | | | | (3273) all_12_4 = e13 % 60.46/9.52 | | | | | | | | | | | % 60.46/9.52 | | | | | | | | | | | REDUCE: (89), (3273) imply: % 60.46/9.52 | | | | | | | | | | | (3274) ~ (all_12_8 = e13) % 60.46/9.52 | | | | | | | | | | | % 60.46/9.52 | | | | | | | | | | | SIMP: (3274) implies: % 60.46/9.52 | | | | | | | | | | | (3275) ~ (all_12_8 = e13) % 60.46/9.52 | | | | | | | | | | | % 60.46/9.52 | | | | | | | | | | | BETA: splitting (268) gives: % 60.46/9.52 | | | | | | | | | | | % 60.46/9.52 | | | | | | | | | | | Case 1: % 60.46/9.52 | | | | | | | | | | | | % 60.46/9.52 | | | | | | | | | | | | (3276) (all_20_0 = e12 & all_20_14 = e13 & ~ (all_20_1 = % 60.46/9.52 | | | | | | | | | | | | e11) & ~ (all_20_12 = e13)) | (all_20_0 = e12 % 60.46/9.52 | | | | | | | | | | | | & all_20_15 = e13 & ~ (all_20_2 = e10) & ~ % 60.46/9.52 | | | | | | | | | | | | (all_20_12 = e13)) | (all_20_1 = e11 & all_20_12 % 60.46/9.52 | | | | | | | | | | | | = e13 & ~ (all_20_0 = e12) & ~ (all_20_14 = % 60.46/9.52 | | | | | | | | | | | | e13)) | (all_20_1 = e11 & all_20_15 = e13 & ~ % 60.46/9.52 | | | | | | | | | | | | (all_20_2 = e10) & ~ (all_20_14 = e13)) | % 60.46/9.52 | | | | | | | | | | | | (all_20_2 = e10 & all_20_12 = e13 & ~ (all_20_0 = % 60.46/9.52 | | | | | | | | | | | | e12) & ~ (all_20_15 = e13)) | (all_20_2 = e10 % 60.46/9.52 | | | | | | | | | | | | & all_20_14 = e13 & ~ (all_20_1 = e11) & ~ % 60.46/9.52 | | | | | | | | | | | | (all_20_15 = e13)) | (all_20_3 = e13 & all_20_14 % 60.46/9.52 | | | | | | | | | | | | = e12 & ~ (all_20_4 = e11) & ~ (all_20_10 = % 60.46/9.52 | | | | | | | | | | | | e12)) | (all_20_3 = e13 & all_20_15 = e12 & ~ % 60.46/9.52 | | | | | | | | | | | | (all_20_5 = e10) & ~ (all_20_10 = e12)) | % 60.46/9.52 | | | | | | | | | | | | (all_20_4 = e11 & all_20_10 = e12 & ~ (all_20_3 = % 60.46/9.52 | | | | | | | | | | | | e13) & ~ (all_20_14 = e12)) | (all_20_4 = e11 % 60.46/9.52 | | | | | | | | | | | | & all_20_15 = e12 & ~ (all_20_5 = e10) & ~ % 60.46/9.52 | | | | | | | | | | | | (all_20_14 = e12)) | (all_20_5 = e10 & all_20_10 % 60.46/9.52 | | | | | | | | | | | | = e12 & ~ (all_20_3 = e13) & ~ (all_20_15 = % 60.46/9.52 | | | | | | | | | | | | e12)) | (all_20_5 = e10 & all_20_14 = e12 & ~ % 60.46/9.52 | | | | | | | | | | | | (all_20_4 = e11) & ~ (all_20_15 = e12)) % 60.46/9.52 | | | | | | | | | | | | % 60.46/9.52 | | | | | | | | | | | | BETA: splitting (3276) gives: % 60.46/9.52 | | | | | | | | | | | | % 60.46/9.52 | | | | | | | | | | | | Case 1: % 60.46/9.52 | | | | | | | | | | | | | % 60.46/9.52 | | | | | | | | | | | | | (3277) (all_20_0 = e12 & all_20_14 = e13 & ~ (all_20_1 = % 60.46/9.52 | | | | | | | | | | | | | e11) & ~ (all_20_12 = e13)) | (all_20_0 = e12 % 60.46/9.52 | | | | | | | | | | | | | & all_20_15 = e13 & ~ (all_20_2 = e10) & ~ % 60.46/9.52 | | | | | | | | | | | | | (all_20_12 = e13)) | (all_20_1 = e11 & all_20_12 % 60.46/9.52 | | | | | | | | | | | | | = e13 & ~ (all_20_0 = e12) & ~ (all_20_14 = % 60.46/9.52 | | | | | | | | | | | | | e13)) | (all_20_1 = e11 & all_20_15 = e13 & ~ % 60.46/9.52 | | | | | | | | | | | | | (all_20_2 = e10) & ~ (all_20_14 = e13)) | % 60.46/9.52 | | | | | | | | | | | | | (all_20_2 = e10 & all_20_12 = e13 & ~ (all_20_0 = % 60.46/9.52 | | | | | | | | | | | | | e12) & ~ (all_20_15 = e13)) | (all_20_2 = e10 % 60.46/9.52 | | | | | | | | | | | | | & all_20_14 = e13 & ~ (all_20_1 = e11) & ~ % 60.46/9.52 | | | | | | | | | | | | | (all_20_15 = e13)) % 60.46/9.52 | | | | | | | | | | | | | % 60.46/9.52 | | | | | | | | | | | | | BETA: splitting (3277) gives: % 60.46/9.52 | | | | | | | | | | | | | % 60.46/9.52 | | | | | | | | | | | | | Case 1: % 60.46/9.52 | | | | | | | | | | | | | | % 60.46/9.52 | | | | | | | | | | | | | | (3278) (all_20_0 = e12 & all_20_14 = e13 & ~ (all_20_1 = % 60.46/9.52 | | | | | | | | | | | | | | e11) & ~ (all_20_12 = e13)) | (all_20_0 = e12 % 60.46/9.52 | | | | | | | | | | | | | | & all_20_15 = e13 & ~ (all_20_2 = e10) & ~ % 60.46/9.52 | | | | | | | | | | | | | | (all_20_12 = e13)) | (all_20_1 = e11 & all_20_12 % 60.46/9.52 | | | | | | | | | | | | | | = e13 & ~ (all_20_0 = e12) & ~ (all_20_14 = % 60.46/9.52 | | | | | | | | | | | | | | e13)) % 60.46/9.52 | | | | | | | | | | | | | | % 60.46/9.52 | | | | | | | | | | | | | | BETA: splitting (3278) gives: % 60.46/9.52 | | | | | | | | | | | | | | % 60.46/9.52 | | | | | | | | | | | | | | Case 1: % 60.46/9.52 | | | | | | | | | | | | | | | % 60.46/9.52 | | | | | | | | | | | | | | | (3279) all_20_0 = e12 & all_20_14 = e13 & ~ (all_20_1 = % 60.46/9.52 | | | | | | | | | | | | | | | e11) & ~ (all_20_12 = e13) % 60.46/9.52 | | | | | | | | | | | | | | | % 60.46/9.52 | | | | | | | | | | | | | | | ALPHA: (3279) implies: % 60.46/9.52 | | | | | | | | | | | | | | | (3280) all_20_0 = e12 % 60.46/9.52 | | | | | | | | | | | | | | | % 60.46/9.52 | | | | | | | | | | | | | | | COMBINE_EQS: (708), (3280) imply: % 60.46/9.52 | | | | | | | | | | | | | | | (3281) all_12_1 = e12 % 60.46/9.52 | | | | | | | | | | | | | | | % 60.46/9.52 | | | | | | | | | | | | | | | SIMP: (3281) implies: % 60.46/9.52 | | | | | | | | | | | | | | | (3282) all_12_1 = e12 % 60.46/9.52 | | | | | | | | | | | | | | | % 60.46/9.52 | | | | | | | | | | | | | | | REDUCE: (3260), (3282) imply: % 60.46/9.52 | | | | | | | | | | | | | | | (3283) $false % 60.46/9.52 | | | | | | | | | | | | | | | % 60.46/9.52 | | | | | | | | | | | | | | | CLOSE: (3283) is inconsistent. % 60.46/9.52 | | | | | | | | | | | | | | | % 60.46/9.52 | | | | | | | | | | | | | | Case 2: % 60.46/9.52 | | | | | | | | | | | | | | | % 60.46/9.52 | | | | | | | | | | | | | | | (3284) (all_20_0 = e12 & all_20_15 = e13 & ~ (all_20_2 = % 60.46/9.52 | | | | | | | | | | | | | | | e10) & ~ (all_20_12 = e13)) | (all_20_1 = e11 % 60.46/9.52 | | | | | | | | | | | | | | | & all_20_12 = e13 & ~ (all_20_0 = e12) & ~ % 60.46/9.52 | | | | | | | | | | | | | | | (all_20_14 = e13)) % 60.46/9.52 | | | | | | | | | | | | | | | % 60.46/9.52 | | | | | | | | | | | | | | | BETA: splitting (3284) gives: % 60.46/9.52 | | | | | | | | | | | | | | | % 60.46/9.52 | | | | | | | | | | | | | | | Case 1: % 60.46/9.52 | | | | | | | | | | | | | | | | % 60.46/9.52 | | | | | | | | | | | | | | | | (3285) all_20_0 = e12 & all_20_15 = e13 & ~ (all_20_2 = % 60.46/9.52 | | | | | | | | | | | | | | | | e10) & ~ (all_20_12 = e13) % 60.46/9.52 | | | | | | | | | | | | | | | | % 60.46/9.52 | | | | | | | | | | | | | | | | ALPHA: (3285) implies: % 60.46/9.52 | | | | | | | | | | | | | | | | (3286) all_20_15 = e13 % 60.46/9.52 | | | | | | | | | | | | | | | | % 60.46/9.52 | | | | | | | | | | | | | | | | REF_CLOSE: (803), (878), (3257), (3265), (3271), (3286) are % 60.46/9.52 | | | | | | | | | | | | | | | | inconsistent by sub-proof #4. % 60.46/9.52 | | | | | | | | | | | | | | | | % 60.46/9.52 | | | | | | | | | | | | | | | Case 2: % 60.46/9.52 | | | | | | | | | | | | | | | | % 60.46/9.52 | | | | | | | | | | | | | | | | (3287) all_20_1 = e11 & all_20_12 = e13 & ~ (all_20_0 = % 60.46/9.52 | | | | | | | | | | | | | | | | e12) & ~ (all_20_14 = e13) % 60.46/9.52 | | | | | | | | | | | | | | | | % 60.46/9.52 | | | | | | | | | | | | | | | | ALPHA: (3287) implies: % 60.46/9.52 | | | | | | | | | | | | | | | | (3288) all_20_12 = e13 % 60.46/9.52 | | | | | | | | | | | | | | | | % 60.46/9.52 | | | | | | | | | | | | | | | | COMBINE_EQS: (3256), (3288) imply: % 60.46/9.52 | | | | | | | | | | | | | | | | (3289) e13 = e12 % 60.46/9.52 | | | | | | | | | | | | | | | | % 60.46/9.52 | | | | | | | | | | | | | | | | REDUCE: (3225), (3289) imply: % 60.46/9.52 | | | | | | | | | | | | | | | | (3290) $false % 60.46/9.52 | | | | | | | | | | | | | | | | % 60.46/9.52 | | | | | | | | | | | | | | | | CLOSE: (3290) is inconsistent. % 60.46/9.52 | | | | | | | | | | | | | | | | % 60.46/9.52 | | | | | | | | | | | | | | | End of split % 60.46/9.52 | | | | | | | | | | | | | | | % 60.46/9.52 | | | | | | | | | | | | | | End of split % 60.46/9.52 | | | | | | | | | | | | | | % 60.46/9.52 | | | | | | | | | | | | | Case 2: % 60.46/9.52 | | | | | | | | | | | | | | % 60.46/9.52 | | | | | | | | | | | | | | (3291) (all_20_1 = e11 & all_20_15 = e13 & ~ (all_20_2 = % 60.46/9.52 | | | | | | | | | | | | | | e10) & ~ (all_20_14 = e13)) | (all_20_2 = e10 % 60.46/9.52 | | | | | | | | | | | | | | & all_20_12 = e13 & ~ (all_20_0 = e12) & ~ % 60.46/9.52 | | | | | | | | | | | | | | (all_20_15 = e13)) | (all_20_2 = e10 & all_20_14 % 60.46/9.52 | | | | | | | | | | | | | | = e13 & ~ (all_20_1 = e11) & ~ (all_20_15 = % 60.46/9.52 | | | | | | | | | | | | | | e13)) % 60.46/9.52 | | | | | | | | | | | | | | % 60.46/9.52 | | | | | | | | | | | | | | BETA: splitting (3291) gives: % 60.46/9.52 | | | | | | | | | | | | | | % 60.46/9.52 | | | | | | | | | | | | | | Case 1: % 60.46/9.52 | | | | | | | | | | | | | | | % 60.46/9.52 | | | | | | | | | | | | | | | (3292) all_20_1 = e11 & all_20_15 = e13 & ~ (all_20_2 = % 60.46/9.52 | | | | | | | | | | | | | | | e10) & ~ (all_20_14 = e13) % 60.46/9.52 | | | | | | | | | | | | | | | % 60.46/9.52 | | | | | | | | | | | | | | | ALPHA: (3292) implies: % 60.46/9.52 | | | | | | | | | | | | | | | (3293) all_20_15 = e13 % 60.46/9.52 | | | | | | | | | | | | | | | % 60.46/9.52 | | | | | | | | | | | | | | | REF_CLOSE: (803), (878), (3257), (3265), (3271), (3293) are % 60.46/9.52 | | | | | | | | | | | | | | | inconsistent by sub-proof #4. % 60.46/9.52 | | | | | | | | | | | | | | | % 60.46/9.52 | | | | | | | | | | | | | | Case 2: % 60.46/9.52 | | | | | | | | | | | | | | | % 60.46/9.52 | | | | | | | | | | | | | | | (3294) (all_20_2 = e10 & all_20_12 = e13 & ~ (all_20_0 = % 60.46/9.52 | | | | | | | | | | | | | | | e12) & ~ (all_20_15 = e13)) | (all_20_2 = e10 % 60.46/9.52 | | | | | | | | | | | | | | | & all_20_14 = e13 & ~ (all_20_1 = e11) & ~ % 60.46/9.52 | | | | | | | | | | | | | | | (all_20_15 = e13)) % 60.46/9.52 | | | | | | | | | | | | | | | % 60.46/9.52 | | | | | | | | | | | | | | | BETA: splitting (3294) gives: % 60.46/9.52 | | | | | | | | | | | | | | | % 60.46/9.52 | | | | | | | | | | | | | | | Case 1: % 60.46/9.52 | | | | | | | | | | | | | | | | % 60.46/9.52 | | | | | | | | | | | | | | | | (3295) all_20_2 = e10 & all_20_12 = e13 & ~ (all_20_0 = % 60.46/9.52 | | | | | | | | | | | | | | | | e12) & ~ (all_20_15 = e13) % 60.46/9.52 | | | | | | | | | | | | | | | | % 60.46/9.52 | | | | | | | | | | | | | | | | ALPHA: (3295) implies: % 60.46/9.52 | | | | | | | | | | | | | | | | (3296) all_20_12 = e13 % 60.46/9.52 | | | | | | | | | | | | | | | | (3297) all_20_2 = e10 % 60.46/9.52 | | | | | | | | | | | | | | | | % 60.46/9.52 | | | | | | | | | | | | | | | | COMBINE_EQS: (3251), (3297) imply: % 60.46/9.52 | | | | | | | | | | | | | | | | (3298) e13 = e10 % 60.46/9.52 | | | | | | | | | | | | | | | | % 60.46/9.52 | | | | | | | | | | | | | | | | COMBINE_EQS: (3256), (3296) imply: % 60.46/9.52 | | | | | | | | | | | | | | | | (3299) e13 = e12 % 60.46/9.52 | | | | | | | | | | | | | | | | % 60.46/9.52 | | | | | | | | | | | | | | | | COMBINE_EQS: (3298), (3299) imply: % 60.46/9.52 | | | | | | | | | | | | | | | | (3300) e12 = e10 % 60.46/9.52 | | | | | | | | | | | | | | | | % 60.46/9.52 | | | | | | | | | | | | | | | | SIMP: (3300) implies: % 60.46/9.52 | | | | | | | | | | | | | | | | (3301) e12 = e10 % 60.55/9.52 | | | | | | | | | | | | | | | | % 60.55/9.52 | | | | | | | | | | | | | | | | REDUCE: (3227), (3301) imply: % 60.55/9.52 | | | | | | | | | | | | | | | | (3302) $false % 60.55/9.52 | | | | | | | | | | | | | | | | % 60.55/9.52 | | | | | | | | | | | | | | | | CLOSE: (3302) is inconsistent. % 60.55/9.52 | | | | | | | | | | | | | | | | % 60.55/9.52 | | | | | | | | | | | | | | | Case 2: % 60.55/9.52 | | | | | | | | | | | | | | | | % 60.55/9.52 | | | | | | | | | | | | | | | | (3303) all_20_2 = e10 & all_20_14 = e13 & ~ (all_20_1 = % 60.55/9.52 | | | | | | | | | | | | | | | | e11) & ~ (all_20_15 = e13) % 60.55/9.52 | | | | | | | | | | | | | | | | % 60.55/9.52 | | | | | | | | | | | | | | | | ALPHA: (3303) implies: % 60.55/9.52 | | | | | | | | | | | | | | | | (3304) all_20_2 = e10 % 60.55/9.52 | | | | | | | | | | | | | | | | % 60.55/9.52 | | | | | | | | | | | | | | | | COMBINE_EQS: (3251), (3304) imply: % 60.55/9.52 | | | | | | | | | | | | | | | | (3305) e13 = e10 % 60.55/9.52 | | | | | | | | | | | | | | | | % 60.55/9.52 | | | | | | | | | | | | | | | | REDUCE: (8), (3305) imply: % 60.55/9.52 | | | | | | | | | | | | | | | | (3306) $false % 60.55/9.52 | | | | | | | | | | | | | | | | % 60.55/9.52 | | | | | | | | | | | | | | | | CLOSE: (3306) is inconsistent. % 60.55/9.52 | | | | | | | | | | | | | | | | % 60.55/9.52 | | | | | | | | | | | | | | | End of split % 60.55/9.52 | | | | | | | | | | | | | | | % 60.55/9.52 | | | | | | | | | | | | | | End of split % 60.55/9.52 | | | | | | | | | | | | | | % 60.55/9.52 | | | | | | | | | | | | | End of split % 60.55/9.52 | | | | | | | | | | | | | % 60.55/9.52 | | | | | | | | | | | | Case 2: % 60.55/9.52 | | | | | | | | | | | | | % 60.55/9.52 | | | | | | | | | | | | | (3307) (all_20_3 = e13 & all_20_14 = e12 & ~ (all_20_4 = % 60.55/9.52 | | | | | | | | | | | | | e11) & ~ (all_20_10 = e12)) | (all_20_3 = e13 % 60.55/9.52 | | | | | | | | | | | | | & all_20_15 = e12 & ~ (all_20_5 = e10) & ~ % 60.55/9.52 | | | | | | | | | | | | | (all_20_10 = e12)) | (all_20_4 = e11 & all_20_10 % 60.55/9.52 | | | | | | | | | | | | | = e12 & ~ (all_20_3 = e13) & ~ (all_20_14 = % 60.55/9.52 | | | | | | | | | | | | | e12)) | (all_20_4 = e11 & all_20_15 = e12 & ~ % 60.55/9.52 | | | | | | | | | | | | | (all_20_5 = e10) & ~ (all_20_14 = e12)) | % 60.55/9.52 | | | | | | | | | | | | | (all_20_5 = e10 & all_20_10 = e12 & ~ (all_20_3 = % 60.55/9.52 | | | | | | | | | | | | | e13) & ~ (all_20_15 = e12)) | (all_20_5 = e10 % 60.55/9.52 | | | | | | | | | | | | | & all_20_14 = e12 & ~ (all_20_4 = e11) & ~ % 60.55/9.52 | | | | | | | | | | | | | (all_20_15 = e12)) % 60.55/9.52 | | | | | | | | | | | | | % 60.55/9.52 | | | | | | | | | | | | | BETA: splitting (3307) gives: % 60.55/9.52 | | | | | | | | | | | | | % 60.55/9.52 | | | | | | | | | | | | | Case 1: % 60.55/9.52 | | | | | | | | | | | | | | % 60.55/9.52 | | | | | | | | | | | | | | (3308) (all_20_3 = e13 & all_20_14 = e12 & ~ (all_20_4 = % 60.55/9.52 | | | | | | | | | | | | | | e11) & ~ (all_20_10 = e12)) | (all_20_3 = e13 % 60.55/9.52 | | | | | | | | | | | | | | & all_20_15 = e12 & ~ (all_20_5 = e10) & ~ % 60.55/9.52 | | | | | | | | | | | | | | (all_20_10 = e12)) | (all_20_4 = e11 & all_20_10 % 60.55/9.52 | | | | | | | | | | | | | | = e12 & ~ (all_20_3 = e13) & ~ (all_20_14 = % 60.55/9.52 | | | | | | | | | | | | | | e12)) % 60.55/9.52 | | | | | | | | | | | | | | % 60.55/9.52 | | | | | | | | | | | | | | BETA: splitting (3308) gives: % 60.55/9.52 | | | | | | | | | | | | | | % 60.55/9.52 | | | | | | | | | | | | | | Case 1: % 60.55/9.52 | | | | | | | | | | | | | | | % 60.55/9.52 | | | | | | | | | | | | | | | (3309) all_20_3 = e13 & all_20_14 = e12 & ~ (all_20_4 = % 60.55/9.52 | | | | | | | | | | | | | | | e11) & ~ (all_20_10 = e12) % 60.55/9.52 | | | | | | | | | | | | | | | % 60.55/9.52 | | | | | | | | | | | | | | | ALPHA: (3309) implies: % 60.55/9.52 | | | | | | | | | | | | | | | (3310) all_20_14 = e12 % 60.55/9.52 | | | | | | | | | | | | | | | % 60.55/9.52 | | | | | | | | | | | | | | | REF_CLOSE: (721), (873), (3310) are inconsistent by sub-proof % 60.55/9.52 | | | | | | | | | | | | | | | #175. % 60.55/9.52 | | | | | | | | | | | | | | | % 60.55/9.52 | | | | | | | | | | | | | | Case 2: % 60.55/9.52 | | | | | | | | | | | | | | | % 60.55/9.52 | | | | | | | | | | | | | | | (3311) (all_20_3 = e13 & all_20_15 = e12 & ~ (all_20_5 = % 60.55/9.52 | | | | | | | | | | | | | | | e10) & ~ (all_20_10 = e12)) | (all_20_4 = e11 % 60.55/9.52 | | | | | | | | | | | | | | | & all_20_10 = e12 & ~ (all_20_3 = e13) & ~ % 60.55/9.52 | | | | | | | | | | | | | | | (all_20_14 = e12)) % 60.55/9.52 | | | | | | | | | | | | | | | % 60.55/9.52 | | | | | | | | | | | | | | | BETA: splitting (3311) gives: % 60.55/9.52 | | | | | | | | | | | | | | | % 60.55/9.52 | | | | | | | | | | | | | | | Case 1: % 60.55/9.52 | | | | | | | | | | | | | | | | % 60.55/9.52 | | | | | | | | | | | | | | | | (3312) all_20_3 = e13 & all_20_15 = e12 & ~ (all_20_5 = % 60.55/9.52 | | | | | | | | | | | | | | | | e10) & ~ (all_20_10 = e12) % 60.55/9.52 | | | | | | | | | | | | | | | | % 60.55/9.52 | | | | | | | | | | | | | | | | ALPHA: (3312) implies: % 60.55/9.52 | | | | | | | | | | | | | | | | (3313) all_20_15 = e12 % 60.55/9.52 | | | | | | | | | | | | | | | | % 60.55/9.52 | | | | | | | | | | | | | | | | REF_CLOSE: (803), (3226), (3313) are inconsistent by % 60.55/9.52 | | | | | | | | | | | | | | | | sub-proof #11. % 60.55/9.52 | | | | | | | | | | | | | | | | % 60.55/9.52 | | | | | | | | | | | | | | | Case 2: % 60.55/9.52 | | | | | | | | | | | | | | | | % 60.55/9.52 | | | | | | | | | | | | | | | | (3314) all_20_4 = e11 & all_20_10 = e12 & ~ (all_20_3 = % 60.55/9.52 | | | | | | | | | | | | | | | | e13) & ~ (all_20_14 = e12) % 60.55/9.52 | | | | | | | | | | | | | | | | % 60.55/9.52 | | | | | | | | | | | | | | | | ALPHA: (3314) implies: % 60.55/9.52 | | | | | | | | | | | | | | | | (3315) ~ (all_20_3 = e13) % 60.55/9.52 | | | | | | | | | | | | | | | | % 60.55/9.52 | | | | | | | | | | | | | | | | REDUCE: (3271), (3315) imply: % 60.55/9.52 | | | | | | | | | | | | | | | | (3316) $false % 60.55/9.52 | | | | | | | | | | | | | | | | % 60.55/9.52 | | | | | | | | | | | | | | | | CLOSE: (3316) is inconsistent. % 60.55/9.52 | | | | | | | | | | | | | | | | % 60.55/9.52 | | | | | | | | | | | | | | | End of split % 60.55/9.52 | | | | | | | | | | | | | | | % 60.55/9.52 | | | | | | | | | | | | | | End of split % 60.55/9.52 | | | | | | | | | | | | | | % 60.55/9.52 | | | | | | | | | | | | | Case 2: % 60.55/9.52 | | | | | | | | | | | | | | % 60.55/9.52 | | | | | | | | | | | | | | (3317) (all_20_4 = e11 & all_20_15 = e12 & ~ (all_20_5 = % 60.55/9.52 | | | | | | | | | | | | | | e10) & ~ (all_20_14 = e12)) | (all_20_5 = e10 % 60.55/9.52 | | | | | | | | | | | | | | & all_20_10 = e12 & ~ (all_20_3 = e13) & ~ % 60.55/9.52 | | | | | | | | | | | | | | (all_20_15 = e12)) | (all_20_5 = e10 & all_20_14 % 60.55/9.52 | | | | | | | | | | | | | | = e12 & ~ (all_20_4 = e11) & ~ (all_20_15 = % 60.55/9.52 | | | | | | | | | | | | | | e12)) % 60.55/9.52 | | | | | | | | | | | | | | % 60.55/9.52 | | | | | | | | | | | | | | BETA: splitting (3317) gives: % 60.55/9.52 | | | | | | | | | | | | | | % 60.55/9.52 | | | | | | | | | | | | | | Case 1: % 60.55/9.52 | | | | | | | | | | | | | | | % 60.55/9.52 | | | | | | | | | | | | | | | (3318) all_20_4 = e11 & all_20_15 = e12 & ~ (all_20_5 = % 60.55/9.52 | | | | | | | | | | | | | | | e10) & ~ (all_20_14 = e12) % 60.55/9.52 | | | | | | | | | | | | | | | % 60.55/9.52 | | | | | | | | | | | | | | | ALPHA: (3318) implies: % 60.55/9.52 | | | | | | | | | | | | | | | (3319) all_20_15 = e12 % 60.55/9.52 | | | | | | | | | | | | | | | % 60.55/9.52 | | | | | | | | | | | | | | | REF_CLOSE: (803), (3226), (3319) are inconsistent by % 60.55/9.52 | | | | | | | | | | | | | | | sub-proof #11. % 60.55/9.52 | | | | | | | | | | | | | | | % 60.55/9.52 | | | | | | | | | | | | | | Case 2: % 60.55/9.52 | | | | | | | | | | | | | | | % 60.55/9.52 | | | | | | | | | | | | | | | (3320) (all_20_5 = e10 & all_20_10 = e12 & ~ (all_20_3 = % 60.55/9.52 | | | | | | | | | | | | | | | e13) & ~ (all_20_15 = e12)) | (all_20_5 = e10 % 60.55/9.52 | | | | | | | | | | | | | | | & all_20_14 = e12 & ~ (all_20_4 = e11) & ~ % 60.55/9.52 | | | | | | | | | | | | | | | (all_20_15 = e12)) % 60.55/9.52 | | | | | | | | | | | | | | | % 60.55/9.52 | | | | | | | | | | | | | | | BETA: splitting (3320) gives: % 60.55/9.52 | | | | | | | | | | | | | | | % 60.55/9.52 | | | | | | | | | | | | | | | Case 1: % 60.55/9.52 | | | | | | | | | | | | | | | | % 60.55/9.52 | | | | | | | | | | | | | | | | (3321) all_20_5 = e10 & all_20_10 = e12 & ~ (all_20_3 = % 60.55/9.52 | | | | | | | | | | | | | | | | e13) & ~ (all_20_15 = e12) % 60.55/9.52 | | | | | | | | | | | | | | | | % 60.55/9.52 | | | | | | | | | | | | | | | | ALPHA: (3321) implies: % 60.55/9.52 | | | | | | | | | | | | | | | | (3322) ~ (all_20_3 = e13) % 60.55/9.52 | | | | | | | | | | | | | | | | % 60.55/9.52 | | | | | | | | | | | | | | | | REDUCE: (3271), (3322) imply: % 60.55/9.52 | | | | | | | | | | | | | | | | (3323) $false % 60.55/9.52 | | | | | | | | | | | | | | | | % 60.55/9.52 | | | | | | | | | | | | | | | | CLOSE: (3323) is inconsistent. % 60.55/9.52 | | | | | | | | | | | | | | | | % 60.55/9.52 | | | | | | | | | | | | | | | Case 2: % 60.55/9.52 | | | | | | | | | | | | | | | | % 60.55/9.52 | | | | | | | | | | | | | | | | (3324) all_20_5 = e10 & all_20_14 = e12 & ~ (all_20_4 = % 60.55/9.52 | | | | | | | | | | | | | | | | e11) & ~ (all_20_15 = e12) % 60.55/9.52 | | | | | | | | | | | | | | | | % 60.55/9.52 | | | | | | | | | | | | | | | | ALPHA: (3324) implies: % 60.55/9.52 | | | | | | | | | | | | | | | | (3325) all_20_14 = e12 % 60.55/9.52 | | | | | | | | | | | | | | | | % 60.55/9.52 | | | | | | | | | | | | | | | | REF_CLOSE: (721), (873), (3325) are inconsistent by sub-proof % 60.55/9.52 | | | | | | | | | | | | | | | | #175. % 60.55/9.52 | | | | | | | | | | | | | | | | % 60.55/9.52 | | | | | | | | | | | | | | | End of split % 60.55/9.52 | | | | | | | | | | | | | | | % 60.55/9.52 | | | | | | | | | | | | | | End of split % 60.55/9.52 | | | | | | | | | | | | | | % 60.55/9.52 | | | | | | | | | | | | | End of split % 60.55/9.52 | | | | | | | | | | | | | % 60.55/9.52 | | | | | | | | | | | | End of split % 60.55/9.52 | | | | | | | | | | | | % 60.55/9.52 | | | | | | | | | | | Case 2: % 60.55/9.52 | | | | | | | | | | | | % 60.55/9.52 | | | | | | | | | | | | (3326) (all_20_6 = e13 & all_20_12 = e11 & ~ (all_20_7 = % 60.55/9.52 | | | | | | | | | | | | e12) & ~ (all_20_10 = e11)) | (all_20_6 = e13 % 60.55/9.52 | | | | | | | | | | | | & all_20_15 = e11 & ~ (all_20_8 = e10) & ~ % 60.55/9.52 | | | | | | | | | | | | (all_20_10 = e11)) | (all_20_7 = e12 & all_20_10 % 60.55/9.52 | | | | | | | | | | | | = e11 & ~ (all_20_6 = e13) & ~ (all_20_12 = % 60.55/9.52 | | | | | | | | | | | | e11)) | (all_20_7 = e12 & all_20_15 = e11 & ~ % 60.55/9.52 | | | | | | | | | | | | (all_20_8 = e10) & ~ (all_20_12 = e11)) | % 60.55/9.52 | | | | | | | | | | | | (all_20_8 = e10 & all_20_10 = e11 & ~ (all_20_6 = % 60.55/9.52 | | | | | | | | | | | | e13) & ~ (all_20_15 = e11)) | (all_20_8 = e10 % 60.55/9.52 | | | | | | | | | | | | & all_20_12 = e11 & ~ (all_20_7 = e12) & ~ % 60.55/9.52 | | | | | | | | | | | | (all_20_15 = e11)) | (all_20_9 = e13 & all_20_12 % 60.55/9.52 | | | | | | | | | | | | = e10 & ~ (all_20_10 = e10) & ~ (all_20_11 = % 60.55/9.52 | | | | | | | | | | | | e12)) | (all_20_9 = e13 & all_20_14 = e10 & ~ % 60.55/9.52 | | | | | | | | | | | | (all_20_10 = e10) & ~ (all_20_13 = e11)) | % 60.55/9.52 | | | | | | | | | | | | (all_20_10 = e10 & all_20_11 = e12 & ~ (all_20_9 % 60.55/9.52 | | | | | | | | | | | | = e13) & ~ (all_20_12 = e10)) | (all_20_10 = % 60.55/9.52 | | | | | | | | | | | | e10 & all_20_13 = e11 & ~ (all_20_9 = e13) & ~ % 60.55/9.52 | | | | | | | | | | | | (all_20_14 = e10)) | (all_20_11 = e12 & % 60.55/9.52 | | | | | | | | | | | | all_20_14 = e10 & ~ (all_20_12 = e10) & ~ % 60.55/9.52 | | | | | | | | | | | | (all_20_13 = e11)) | (all_20_12 = e10 & % 60.55/9.52 | | | | | | | | | | | | all_20_13 = e11 & ~ (all_20_11 = e12) & ~ % 60.55/9.52 | | | | | | | | | | | | (all_20_14 = e10)) % 60.55/9.52 | | | | | | | | | | | | % 60.55/9.52 | | | | | | | | | | | | BETA: splitting (3326) gives: % 60.55/9.52 | | | | | | | | | | | | % 60.55/9.52 | | | | | | | | | | | | Case 1: % 60.55/9.52 | | | | | | | | | | | | | % 60.55/9.52 | | | | | | | | | | | | | (3327) (all_20_6 = e13 & all_20_12 = e11 & ~ (all_20_7 = % 60.55/9.52 | | | | | | | | | | | | | e12) & ~ (all_20_10 = e11)) | (all_20_6 = e13 % 60.55/9.52 | | | | | | | | | | | | | & all_20_15 = e11 & ~ (all_20_8 = e10) & ~ % 60.55/9.52 | | | | | | | | | | | | | (all_20_10 = e11)) | (all_20_7 = e12 & all_20_10 % 60.55/9.52 | | | | | | | | | | | | | = e11 & ~ (all_20_6 = e13) & ~ (all_20_12 = % 60.55/9.52 | | | | | | | | | | | | | e11)) | (all_20_7 = e12 & all_20_15 = e11 & ~ % 60.55/9.52 | | | | | | | | | | | | | (all_20_8 = e10) & ~ (all_20_12 = e11)) | % 60.55/9.52 | | | | | | | | | | | | | (all_20_8 = e10 & all_20_10 = e11 & ~ (all_20_6 = % 60.55/9.52 | | | | | | | | | | | | | e13) & ~ (all_20_15 = e11)) | (all_20_8 = e10 % 60.55/9.52 | | | | | | | | | | | | | & all_20_12 = e11 & ~ (all_20_7 = e12) & ~ % 60.55/9.52 | | | | | | | | | | | | | (all_20_15 = e11)) % 60.55/9.52 | | | | | | | | | | | | | % 60.55/9.52 | | | | | | | | | | | | | BETA: splitting (3327) gives: % 60.55/9.52 | | | | | | | | | | | | | % 60.55/9.52 | | | | | | | | | | | | | Case 1: % 60.55/9.52 | | | | | | | | | | | | | | % 60.55/9.52 | | | | | | | | | | | | | | (3328) (all_20_6 = e13 & all_20_12 = e11 & ~ (all_20_7 = % 60.55/9.52 | | | | | | | | | | | | | | e12) & ~ (all_20_10 = e11)) | (all_20_6 = e13 % 60.55/9.52 | | | | | | | | | | | | | | & all_20_15 = e11 & ~ (all_20_8 = e10) & ~ % 60.55/9.52 | | | | | | | | | | | | | | (all_20_10 = e11)) | (all_20_7 = e12 & all_20_10 % 60.55/9.52 | | | | | | | | | | | | | | = e11 & ~ (all_20_6 = e13) & ~ (all_20_12 = % 60.55/9.52 | | | | | | | | | | | | | | e11)) % 60.55/9.52 | | | | | | | | | | | | | | % 60.55/9.52 | | | | | | | | | | | | | | BETA: splitting (3328) gives: % 60.55/9.52 | | | | | | | | | | | | | | % 60.55/9.52 | | | | | | | | | | | | | | Case 1: % 60.55/9.52 | | | | | | | | | | | | | | | % 60.55/9.52 | | | | | | | | | | | | | | | (3329) all_20_6 = e13 & all_20_12 = e11 & ~ (all_20_7 = % 60.55/9.52 | | | | | | | | | | | | | | | e12) & ~ (all_20_10 = e11) % 60.55/9.52 | | | | | | | | | | | | | | | % 60.55/9.52 | | | | | | | | | | | | | | | REF_CLOSE: (3226), (3256), (3329) are inconsistent by % 60.55/9.52 | | | | | | | | | | | | | | | sub-proof #172. % 60.55/9.52 | | | | | | | | | | | | | | | % 60.55/9.52 | | | | | | | | | | | | | | Case 2: % 60.55/9.52 | | | | | | | | | | | | | | | % 60.55/9.52 | | | | | | | | | | | | | | | (3330) (all_20_6 = e13 & all_20_15 = e11 & ~ (all_20_8 = % 60.55/9.52 | | | | | | | | | | | | | | | e10) & ~ (all_20_10 = e11)) | (all_20_7 = e12 % 60.55/9.52 | | | | | | | | | | | | | | | & all_20_10 = e11 & ~ (all_20_6 = e13) & ~ % 60.55/9.52 | | | | | | | | | | | | | | | (all_20_12 = e11)) % 60.55/9.52 | | | | | | | | | | | | | | | % 60.55/9.52 | | | | | | | | | | | | | | | BETA: splitting (3330) gives: % 60.55/9.52 | | | | | | | | | | | | | | | % 60.55/9.52 | | | | | | | | | | | | | | | Case 1: % 60.55/9.52 | | | | | | | | | | | | | | | | % 60.55/9.52 | | | | | | | | | | | | | | | | (3331) all_20_6 = e13 & all_20_15 = e11 & ~ (all_20_8 = % 60.55/9.52 | | | | | | | | | | | | | | | | e10) & ~ (all_20_10 = e11) % 60.55/9.52 | | | | | | | | | | | | | | | | % 60.55/9.52 | | | | | | | | | | | | | | | | ALPHA: (3331) implies: % 60.55/9.52 | | | | | | | | | | | | | | | | (3332) all_20_6 = e13 % 60.55/9.52 | | | | | | | | | | | | | | | | % 60.55/9.52 | | | | | | | | | | | | | | | | COMBINE_EQS: (713), (3332) imply: % 60.55/9.52 | | | | | | | | | | | | | | | | (3333) all_12_8 = e13 % 60.55/9.52 | | | | | | | | | | | | | | | | % 60.55/9.52 | | | | | | | | | | | | | | | | REDUCE: (3275), (3333) imply: % 60.55/9.52 | | | | | | | | | | | | | | | | (3334) $false % 60.55/9.52 | | | | | | | | | | | | | | | | % 60.55/9.52 | | | | | | | | | | | | | | | | CLOSE: (3334) is inconsistent. % 60.55/9.52 | | | | | | | | | | | | | | | | % 60.55/9.52 | | | | | | | | | | | | | | | Case 2: % 60.55/9.52 | | | | | | | | | | | | | | | | % 60.55/9.52 | | | | | | | | | | | | | | | | (3335) all_20_7 = e12 & all_20_10 = e11 & ~ (all_20_6 = % 60.55/9.52 | | | | | | | | | | | | | | | | e13) & ~ (all_20_12 = e11) % 60.55/9.52 | | | | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | | | | ALPHA: (3335) implies: % 60.55/9.53 | | | | | | | | | | | | | | | | (3336) all_20_10 = e11 % 60.55/9.53 | | | | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | | | | COMBINE_EQS: (3265), (3336) imply: % 60.55/9.53 | | | | | | | | | | | | | | | | (3337) e12 = e11 % 60.55/9.53 | | | | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | | | | SIMP: (3337) implies: % 60.55/9.53 | | | | | | | | | | | | | | | | (3338) e12 = e11 % 60.55/9.53 | | | | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | | | | REDUCE: (3226), (3338) imply: % 60.55/9.53 | | | | | | | | | | | | | | | | (3339) $false % 60.55/9.53 | | | | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | | | | CLOSE: (3339) is inconsistent. % 60.55/9.53 | | | | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | | | End of split % 60.55/9.53 | | | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | | End of split % 60.55/9.53 | | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | Case 2: % 60.55/9.53 | | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | | (3340) (all_20_7 = e12 & all_20_15 = e11 & ~ (all_20_8 = % 60.55/9.53 | | | | | | | | | | | | | | e10) & ~ (all_20_12 = e11)) | (all_20_8 = e10 % 60.55/9.53 | | | | | | | | | | | | | | & all_20_10 = e11 & ~ (all_20_6 = e13) & ~ % 60.55/9.53 | | | | | | | | | | | | | | (all_20_15 = e11)) | (all_20_8 = e10 & all_20_12 % 60.55/9.53 | | | | | | | | | | | | | | = e11 & ~ (all_20_7 = e12) & ~ (all_20_15 = % 60.55/9.53 | | | | | | | | | | | | | | e11)) % 60.55/9.53 | | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | | BETA: splitting (3340) gives: % 60.55/9.53 | | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | | Case 1: % 60.55/9.53 | | | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | | | (3341) all_20_7 = e12 & all_20_15 = e11 & ~ (all_20_8 = % 60.55/9.53 | | | | | | | | | | | | | | | e10) & ~ (all_20_12 = e11) % 60.55/9.53 | | | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | | | REF_CLOSE: (714), (871), (3341) are inconsistent by sub-proof % 60.55/9.53 | | | | | | | | | | | | | | | #61. % 60.55/9.53 | | | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | | Case 2: % 60.55/9.53 | | | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | | | (3342) (all_20_8 = e10 & all_20_10 = e11 & ~ (all_20_6 = % 60.55/9.53 | | | | | | | | | | | | | | | e13) & ~ (all_20_15 = e11)) | (all_20_8 = e10 % 60.55/9.53 | | | | | | | | | | | | | | | & all_20_12 = e11 & ~ (all_20_7 = e12) & ~ % 60.55/9.53 | | | | | | | | | | | | | | | (all_20_15 = e11)) % 60.55/9.53 | | | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | | | BETA: splitting (3342) gives: % 60.55/9.53 | | | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | | | Case 1: % 60.55/9.53 | | | | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | | | | (3343) all_20_8 = e10 & all_20_10 = e11 & ~ (all_20_6 = % 60.55/9.53 | | | | | | | | | | | | | | | | e13) & ~ (all_20_15 = e11) % 60.55/9.53 | | | | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | | | | ALPHA: (3343) implies: % 60.55/9.53 | | | | | | | | | | | | | | | | (3344) all_20_10 = e11 % 60.55/9.53 | | | | | | | | | | | | | | | | (3345) all_20_8 = e10 % 60.55/9.53 | | | | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | | | | COMBINE_EQS: (505), (3345) imply: % 60.55/9.53 | | | | | | | | | | | | | | | | (3346) e12 = e10 % 60.55/9.53 | | | | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | | | | COMBINE_EQS: (3265), (3344) imply: % 60.55/9.53 | | | | | | | | | | | | | | | | (3347) e12 = e11 % 60.55/9.53 | | | | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3346), (3347) are inconsistent by sub-proof % 60.55/9.53 | | | | | | | | | | | | | | | | #3. % 60.55/9.53 | | | | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | | | Case 2: % 60.55/9.53 | | | | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | | | | (3348) all_20_8 = e10 & all_20_12 = e11 & ~ (all_20_7 = % 60.55/9.53 | | | | | | | | | | | | | | | | e12) & ~ (all_20_15 = e11) % 60.55/9.53 | | | | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | | | | REF_CLOSE: (7), (505), (3256), (3348) are inconsistent by % 60.55/9.53 | | | | | | | | | | | | | | | | sub-proof #58. % 60.55/9.53 | | | | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | | | End of split % 60.55/9.53 | | | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | | End of split % 60.55/9.53 | | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | End of split % 60.55/9.53 | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | Case 2: % 60.55/9.53 | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | (3349) (all_20_9 = e13 & all_20_12 = e10 & ~ (all_20_10 % 60.55/9.53 | | | | | | | | | | | | | = e10) & ~ (all_20_11 = e12)) | (all_20_9 = % 60.55/9.53 | | | | | | | | | | | | | e13 & all_20_14 = e10 & ~ (all_20_10 = e10) & % 60.55/9.53 | | | | | | | | | | | | | ~ (all_20_13 = e11)) | (all_20_10 = e10 & % 60.55/9.53 | | | | | | | | | | | | | all_20_11 = e12 & ~ (all_20_9 = e13) & ~ % 60.55/9.53 | | | | | | | | | | | | | (all_20_12 = e10)) | (all_20_10 = e10 & % 60.55/9.53 | | | | | | | | | | | | | all_20_13 = e11 & ~ (all_20_9 = e13) & ~ % 60.55/9.53 | | | | | | | | | | | | | (all_20_14 = e10)) | (all_20_11 = e12 & % 60.55/9.53 | | | | | | | | | | | | | all_20_14 = e10 & ~ (all_20_12 = e10) & ~ % 60.55/9.53 | | | | | | | | | | | | | (all_20_13 = e11)) | (all_20_12 = e10 & % 60.55/9.53 | | | | | | | | | | | | | all_20_13 = e11 & ~ (all_20_11 = e12) & ~ % 60.55/9.53 | | | | | | | | | | | | | (all_20_14 = e10)) % 60.55/9.53 | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | BETA: splitting (3349) gives: % 60.55/9.53 | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | Case 1: % 60.55/9.53 | | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | | (3350) (all_20_9 = e13 & all_20_12 = e10 & ~ (all_20_10 % 60.55/9.53 | | | | | | | | | | | | | | = e10) & ~ (all_20_11 = e12)) | (all_20_9 = % 60.55/9.53 | | | | | | | | | | | | | | e13 & all_20_14 = e10 & ~ (all_20_10 = e10) & % 60.55/9.53 | | | | | | | | | | | | | | ~ (all_20_13 = e11)) | (all_20_10 = e10 & % 60.55/9.53 | | | | | | | | | | | | | | all_20_11 = e12 & ~ (all_20_9 = e13) & ~ % 60.55/9.53 | | | | | | | | | | | | | | (all_20_12 = e10)) % 60.55/9.53 | | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | | BETA: splitting (3350) gives: % 60.55/9.53 | | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | | Case 1: % 60.55/9.53 | | | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | | | (3351) all_20_9 = e13 & all_20_12 = e10 & ~ (all_20_10 = % 60.55/9.53 | | | | | | | | | | | | | | | e10) & ~ (all_20_11 = e12) % 60.55/9.53 | | | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | | | ALPHA: (3351) implies: % 60.55/9.53 | | | | | | | | | | | | | | | (3352) all_20_12 = e10 % 60.55/9.53 | | | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | | | REF_CLOSE: (3227), (3256), (3352) are inconsistent by % 60.55/9.53 | | | | | | | | | | | | | | | sub-proof #57. % 60.55/9.53 | | | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | | Case 2: % 60.55/9.53 | | | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | | | (3353) (all_20_9 = e13 & all_20_14 = e10 & ~ (all_20_10 % 60.55/9.53 | | | | | | | | | | | | | | | = e10) & ~ (all_20_13 = e11)) | (all_20_10 = % 60.55/9.53 | | | | | | | | | | | | | | | e10 & all_20_11 = e12 & ~ (all_20_9 = e13) & ~ % 60.55/9.53 | | | | | | | | | | | | | | | (all_20_12 = e10)) % 60.55/9.53 | | | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | | | BETA: splitting (3353) gives: % 60.55/9.53 | | | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | | | Case 1: % 60.55/9.53 | | | | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | | | | (3354) all_20_9 = e13 & all_20_14 = e10 & ~ (all_20_10 = % 60.55/9.53 | | | | | | | | | | | | | | | | e10) & ~ (all_20_13 = e11) % 60.55/9.53 | | | | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | | | | ALPHA: (3354) implies: % 60.55/9.53 | | | | | | | | | | | | | | | | (3355) all_20_9 = e13 % 60.55/9.53 | | | | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | | | | COMBINE_EQS: (3231), (3355) imply: % 60.55/9.53 | | | | | | | | | | | | | | | | (3356) e13 = e10 % 60.55/9.53 | | | | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | | | | SIMP: (3356) implies: % 60.55/9.53 | | | | | | | | | | | | | | | | (3357) e13 = e10 % 60.55/9.53 | | | | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | | | | REDUCE: (8), (3357) imply: % 60.55/9.53 | | | | | | | | | | | | | | | | (3358) $false % 60.55/9.53 | | | | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | | | | CLOSE: (3358) is inconsistent. % 60.55/9.53 | | | | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | | | Case 2: % 60.55/9.53 | | | | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | | | | (3359) all_20_10 = e10 & all_20_11 = e12 & ~ (all_20_9 = % 60.55/9.53 | | | | | | | | | | | | | | | | e13) & ~ (all_20_12 = e10) % 60.55/9.53 | | | | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | | | | ALPHA: (3359) implies: % 60.55/9.53 | | | | | | | | | | | | | | | | (3360) all_20_10 = e10 % 60.55/9.53 | | | | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | | | | COMBINE_EQS: (3265), (3360) imply: % 60.55/9.53 | | | | | | | | | | | | | | | | (3361) e12 = e10 % 60.55/9.53 | | | | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | | | | SIMP: (3361) implies: % 60.55/9.53 | | | | | | | | | | | | | | | | (3362) e12 = e10 % 60.55/9.53 | | | | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | | | | REDUCE: (3227), (3362) imply: % 60.55/9.53 | | | | | | | | | | | | | | | | (3363) $false % 60.55/9.53 | | | | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | | | | CLOSE: (3363) is inconsistent. % 60.55/9.53 | | | | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | | | End of split % 60.55/9.53 | | | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | | End of split % 60.55/9.53 | | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | Case 2: % 60.55/9.53 | | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | | (3364) (all_20_10 = e10 & all_20_13 = e11 & ~ (all_20_9 % 60.55/9.53 | | | | | | | | | | | | | | = e13) & ~ (all_20_14 = e10)) | (all_20_11 = % 60.55/9.53 | | | | | | | | | | | | | | e12 & all_20_14 = e10 & ~ (all_20_12 = e10) & % 60.55/9.53 | | | | | | | | | | | | | | ~ (all_20_13 = e11)) | (all_20_12 = e10 & % 60.55/9.53 | | | | | | | | | | | | | | all_20_13 = e11 & ~ (all_20_11 = e12) & ~ % 60.55/9.53 | | | | | | | | | | | | | | (all_20_14 = e10)) % 60.55/9.53 | | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | | BETA: splitting (3364) gives: % 60.55/9.53 | | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | | Case 1: % 60.55/9.53 | | | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | | | (3365) all_20_10 = e10 & all_20_13 = e11 & ~ (all_20_9 = % 60.55/9.53 | | | | | | | | | | | | | | | e13) & ~ (all_20_14 = e10) % 60.55/9.53 | | | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | | | ALPHA: (3365) implies: % 60.55/9.53 | | | | | | | | | | | | | | | (3366) all_20_13 = e11 % 60.55/9.53 | | | | | | | | | | | | | | | (3367) all_20_10 = e10 % 60.55/9.53 | | | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | | | COMBINE_EQS: (3265), (3367) imply: % 60.55/9.53 | | | | | | | | | | | | | | | (3368) e12 = e10 % 60.55/9.53 | | | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | | | SIMP: (3368) implies: % 60.55/9.53 | | | | | | | | | | | | | | | (3369) e12 = e10 % 60.55/9.53 | | | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | | | COMBINE_EQS: (3220), (3366) imply: % 60.55/9.53 | | | | | | | | | | | | | | | (3370) e12 = e11 % 60.55/9.53 | | | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | | | REF_CLOSE: (7), (3369), (3370) are inconsistent by sub-proof % 60.55/9.53 | | | | | | | | | | | | | | | #3. % 60.55/9.53 | | | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | | Case 2: % 60.55/9.53 | | | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | | | (3371) (all_20_11 = e12 & all_20_14 = e10 & ~ (all_20_12 % 60.55/9.53 | | | | | | | | | | | | | | | = e10) & ~ (all_20_13 = e11)) | (all_20_12 = % 60.55/9.53 | | | | | | | | | | | | | | | e10 & all_20_13 = e11 & ~ (all_20_11 = e12) & % 60.55/9.53 | | | | | | | | | | | | | | | ~ (all_20_14 = e10)) % 60.55/9.53 | | | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | | | BETA: splitting (3371) gives: % 60.55/9.53 | | | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | | | Case 1: % 60.55/9.53 | | | | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | | | | (3372) all_20_11 = e12 & all_20_14 = e10 & ~ (all_20_12 % 60.55/9.53 | | | | | | | | | | | | | | | | = e10) & ~ (all_20_13 = e11) % 60.55/9.53 | | | | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | | | | REF_CLOSE: (725), (3225), (3372) are inconsistent by % 60.55/9.53 | | | | | | | | | | | | | | | | sub-proof #54. % 60.55/9.53 | | | | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | | | Case 2: % 60.55/9.53 | | | | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | | | | (3373) all_20_12 = e10 & all_20_13 = e11 & ~ (all_20_11 % 60.55/9.53 | | | | | | | | | | | | | | | | = e12) & ~ (all_20_14 = e10) % 60.55/9.53 | | | | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | | | | ALPHA: (3373) implies: % 60.55/9.53 | | | | | | | | | | | | | | | | (3374) all_20_13 = e11 % 60.55/9.53 | | | | | | | | | | | | | | | | (3375) all_20_12 = e10 % 60.55/9.53 | | | | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | | | | COMBINE_EQS: (3256), (3375) imply: % 60.55/9.53 | | | | | | | | | | | | | | | | (3376) e12 = e10 % 60.55/9.53 | | | | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | | | | SIMP: (3376) implies: % 60.55/9.53 | | | | | | | | | | | | | | | | (3377) e12 = e10 % 60.55/9.53 | | | | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | | | | COMBINE_EQS: (3220), (3374) imply: % 60.55/9.53 | | | | | | | | | | | | | | | | (3378) e12 = e11 % 60.55/9.53 | | | | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3377), (3378) are inconsistent by sub-proof % 60.55/9.53 | | | | | | | | | | | | | | | | #59. % 60.55/9.53 | | | | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | | | End of split % 60.55/9.53 | | | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | | End of split % 60.55/9.53 | | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | End of split % 60.55/9.53 | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | End of split % 60.55/9.53 | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | End of split % 60.55/9.53 | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | End of split % 60.55/9.53 | | | | | | | | | | % 60.55/9.53 | | | | | | | | | Case 2: % 60.55/9.53 | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | (3379) all_24_2 = e12 | all_24_6 = e12 | all_24_12 = e12 % 60.55/9.53 | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | BETA: splitting (3379) gives: % 60.55/9.53 | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | Case 1: % 60.55/9.53 | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | (3380) all_24_2 = e12 % 60.55/9.53 | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | REF_CLOSE: (646), (3260), (3380) are inconsistent by % 60.55/9.53 | | | | | | | | | | | sub-proof #179. % 60.55/9.53 | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | Case 2: % 60.55/9.53 | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | (3381) all_24_6 = e12 | all_24_12 = e12 % 60.55/9.53 | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | BETA: splitting (3381) gives: % 60.55/9.53 | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | Case 1: % 60.55/9.53 | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | (3382) all_24_6 = e12 % 60.55/9.53 | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | REF_CLOSE: (655), (3222), (3382) are inconsistent by % 60.55/9.53 | | | | | | | | | | | | sub-proof #26. % 60.55/9.53 | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | Case 2: % 60.55/9.53 | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | (3383) all_24_12 = e12 % 60.55/9.53 | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | REF_CLOSE: (3225), (3248), (3383) are inconsistent by % 60.55/9.53 | | | | | | | | | | | | sub-proof #52. % 60.55/9.53 | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | End of split % 60.55/9.53 | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | End of split % 60.55/9.53 | | | | | | | | | | % 60.55/9.53 | | | | | | | | | End of split % 60.55/9.53 | | | | | | | | | % 60.55/9.53 | | | | | | | | End of split % 60.55/9.53 | | | | | | | | % 60.55/9.53 | | | | | | | Case 2: % 60.55/9.53 | | | | | | | | % 60.55/9.53 | | | | | | | | (3384) (all_20_14 = e11 & ( ~ (all_20_10 = e11) | all_20_6 = % 60.55/9.53 | | | | | | | | e13) & ( ~ (all_20_12 = e11) | all_20_7 = e12) & ( % 60.55/9.53 | | | | | | | | ~ (all_20_15 = e11) | all_20_8 = e10)) | % 60.55/9.53 | | | | | | | | (all_20_15 = e10 & ( ~ (all_20_10 = e10) | all_20_9 = % 60.55/9.53 | | | | | | | | e13) & ( ~ (all_20_12 = e10) | all_20_11 = e12) & % 60.55/9.53 | | | | | | | | ( ~ (all_20_14 = e10) | all_20_13 = e11)) % 60.55/9.53 | | | | | | | | % 60.55/9.53 | | | | | | | | REF_CLOSE: (7), (505), (803), (3227), (3384) are inconsistent by % 60.55/9.53 | | | | | | | | sub-proof #50. % 60.55/9.53 | | | | | | | | % 60.55/9.53 | | | | | | | End of split % 60.55/9.53 | | | | | | | % 60.55/9.53 | | | | | | Case 2: % 60.55/9.53 | | | | | | | % 60.55/9.53 | | | | | | | (3385) all_24_13 = e13 | all_24_14 = e13 | all_24_15 = e13 % 60.55/9.53 | | | | | | | % 60.55/9.53 | | | | | | | REF_CLOSE: (8), (501), (804), (878), (3225), (3246), (3385) are % 60.55/9.53 | | | | | | | inconsistent by sub-proof #48. % 60.55/9.53 | | | | | | | % 60.55/9.53 | | | | | | End of split % 60.55/9.53 | | | | | | % 60.55/9.53 | | | | | Case 2: % 60.55/9.53 | | | | | | % 60.55/9.53 | | | | | | (3386) all_16_13 = e13 | all_16_13 = e12 | all_16_13 = e11 % 60.55/9.53 | | | | | | % 60.55/9.53 | | | | | | BETA: splitting (3386) gives: % 60.55/9.53 | | | | | | % 60.55/9.53 | | | | | | Case 1: % 60.55/9.53 | | | | | | | % 60.55/9.53 | | | | | | | (3387) all_16_13 = e12 % 60.55/9.53 | | | | | | | % 60.55/9.53 | | | | | | | REF_CLOSE: (773), (868), (3387) are inconsistent by sub-proof #46. % 60.55/9.53 | | | | | | | % 60.55/9.53 | | | | | | Case 2: % 60.55/9.53 | | | | | | | % 60.55/9.53 | | | | | | | (3388) ~ (all_16_13 = e12) % 60.55/9.53 | | | | | | | (3389) all_16_13 = e13 | all_16_13 = e11 % 60.55/9.53 | | | | | | | % 60.55/9.53 | | | | | | | BETA: splitting (305) gives: % 60.55/9.53 | | | | | | | % 60.55/9.53 | | | | | | | Case 1: % 60.55/9.53 | | | | | | | | % 60.55/9.53 | | | | | | | | (3390) all_24_15 = e10 % 60.55/9.53 | | | | | | | | % 60.55/9.53 | | | | | | | | REF_CLOSE: (7), (501), (3390) are inconsistent by sub-proof #47. % 60.55/9.53 | | | | | | | | % 60.55/9.53 | | | | | | | Case 2: % 60.55/9.53 | | | | | | | | % 60.55/9.53 | | | | | | | | (3391) (all_24_9 = e10 | all_24_10 = e10 | all_24_11 = e10) & % 60.55/9.53 | | | | | | | | (all_24_12 = e10 | all_24_13 = e10 | all_24_14 = e10) % 60.55/9.53 | | | | | | | | % 60.55/9.53 | | | | | | | | ALPHA: (3391) implies: % 60.55/9.53 | | | | | | | | (3392) all_24_12 = e10 | all_24_13 = e10 | all_24_14 = e10 % 60.55/9.53 | | | | | | | | % 60.55/9.53 | | | | | | | | BETA: splitting (3392) gives: % 60.55/9.53 | | | | | | | | % 60.55/9.53 | | | | | | | | Case 1: % 60.55/9.53 | | | | | | | | | % 60.55/9.53 | | | | | | | | | (3393) all_24_12 = e10 % 60.55/9.53 | | | | | | | | | % 60.55/9.53 | | | | | | | | | COMBINE_EQS: (806), (3393) imply: % 60.55/9.53 | | | | | | | | | (3394) all_12_3 = e10 % 60.55/9.53 | | | | | | | | | % 60.55/9.53 | | | | | | | | | SIMP: (3394) implies: % 60.55/9.53 | | | | | | | | | (3395) all_12_3 = e10 % 60.55/9.53 | | | | | | | | | % 60.55/9.53 | | | | | | | | | REDUCE: (103), (3395) imply: % 60.55/9.53 | | | | | | | | | (3396) ~ (all_12_1 = e10) % 60.55/9.53 | | | | | | | | | % 60.55/9.53 | | | | | | | | | REDUCE: (99), (3395) imply: % 60.55/9.53 | | | | | | | | | (3397) ~ (all_12_2 = e10) % 60.55/9.53 | | | | | | | | | % 60.55/9.53 | | | | | | | | | REDUCE: (865), (3395) imply: % 60.55/9.53 | | | | | | | | | (3398) ~ (e12 = e10) % 60.55/9.53 | | | | | | | | | % 60.55/9.53 | | | | | | | | | BETA: splitting (306) gives: % 60.55/9.53 | | | | | | | | | % 60.55/9.53 | | | | | | | | | Case 1: % 60.55/9.53 | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | (3399) all_24_12 = e13 % 60.55/9.53 | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | COMBINE_EQS: (3393), (3399) imply: % 60.55/9.53 | | | | | | | | | | (3400) e13 = e10 % 60.55/9.53 | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | REDUCE: (8), (3400) imply: % 60.55/9.53 | | | | | | | | | | (3401) $false % 60.55/9.53 | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | CLOSE: (3401) is inconsistent. % 60.55/9.53 | | | | | | | | | | % 60.55/9.53 | | | | | | | | | Case 2: % 60.55/9.53 | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | (3402) all_24_13 = e13 | all_24_14 = e13 | all_24_15 = % 60.55/9.53 | | | | | | | | | | e13 % 60.55/9.53 | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | BETA: splitting (3402) gives: % 60.55/9.53 | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | Case 1: % 60.55/9.53 | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | (3403) all_24_13 = e13 % 60.55/9.53 | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | COMBINE_EQS: (805), (3403) imply: % 60.55/9.53 | | | | | | | | | | | (3404) all_12_7 = e13 % 60.55/9.53 | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | SIMP: (3404) implies: % 60.55/9.53 | | | | | | | | | | | (3405) all_12_7 = e13 % 60.55/9.53 | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | COMBINE_EQS: (667), (3405) imply: % 60.55/9.53 | | | | | | | | | | | (3406) all_20_5 = e13 % 60.55/9.53 | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | REDUCE: (90), (3405) imply: % 60.55/9.53 | | | | | | | | | | | (3407) ~ (all_12_4 = e13) % 60.55/9.53 | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | REDUCE: (83), (3405) imply: % 60.55/9.53 | | | | | | | | | | | (3408) ~ (all_12_6 = e13) % 60.55/9.53 | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | BETA: splitting (215) gives: % 60.55/9.53 | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | Case 1: % 60.55/9.53 | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | (3409) all_16_6 = e10 % 60.55/9.53 | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | COMBINE_EQS: (776), (3409) imply: % 60.55/9.53 | | | | | | | | | | | | (3410) all_12_9 = e10 % 60.55/9.53 | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | SIMP: (3410) implies: % 60.55/9.53 | | | | | | | | | | | | (3411) all_12_9 = e10 % 60.55/9.53 | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | COMBINE_EQS: (714), (3411) imply: % 60.55/9.53 | | | | | | | | | | | | (3412) all_20_7 = e10 % 60.55/9.53 | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | REDUCE: (74), (3411) imply: % 60.55/9.53 | | | | | | | | | | | | (3413) ~ (all_12_10 = e10) % 60.55/9.53 | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | SIMP: (3413) implies: % 60.55/9.53 | | | | | | | | | | | | (3414) ~ (all_12_10 = e10) % 60.55/9.53 | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | BETA: splitting (308) gives: % 60.55/9.53 | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | Case 1: % 60.55/9.53 | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | (3415) all_24_6 = e10 % 60.55/9.53 | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | COMBINE_EQS: (655), (3415) imply: % 60.55/9.53 | | | | | | | | | | | | | (3416) all_12_2 = e10 % 60.55/9.53 | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | SIMP: (3416) implies: % 60.55/9.53 | | | | | | | | | | | | | (3417) all_12_2 = e10 % 60.55/9.53 | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | REDUCE: (3397), (3417) imply: % 60.55/9.53 | | | | | | | | | | | | | (3418) $false % 60.55/9.53 | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | CLOSE: (3418) is inconsistent. % 60.55/9.53 | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | Case 2: % 60.55/9.53 | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | (3419) all_24_7 = e10 | all_24_8 = e10 | all_24_11 = e10 % 60.55/9.53 | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | BETA: splitting (3419) gives: % 60.55/9.53 | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | Case 1: % 60.55/9.53 | | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | | (3420) all_24_7 = e10 % 60.55/9.53 | | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | | COMBINE_EQS: (808), (3420) imply: % 60.55/9.53 | | | | | | | | | | | | | | (3421) all_12_6 = e10 % 60.55/9.53 | | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | | SIMP: (3421) implies: % 60.55/9.53 | | | | | | | | | | | | | | (3422) all_12_6 = e10 % 60.55/9.53 | | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | | COMBINE_EQS: (525), (3422) imply: % 60.55/9.53 | | | | | | | | | | | | | | (3423) all_20_4 = e10 % 60.55/9.53 | | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | | REDUCE: (87), (3422) imply: % 60.55/9.53 | | | | | | | | | | | | | | (3424) ~ (all_12_5 = e10) % 60.55/9.53 | | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | | BETA: splitting (267) gives: % 60.55/9.53 | | | | | | | | | | | | | | % 60.55/9.53 | | | | | | | | | | | | | | Case 1: % 60.55/9.53 | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | (3425) (all_20_10 = e13 & ( ~ (all_20_12 = e13) | % 60.55/9.54 | | | | | | | | | | | | | | | all_20_0 = e12) & ( ~ (all_20_14 = e13) | % 60.55/9.54 | | | | | | | | | | | | | | | all_20_1 = e11) & ( ~ (all_20_15 = e13) | % 60.55/9.54 | | | | | | | | | | | | | | | all_20_2 = e10)) | (all_20_12 = e12 & ( ~ % 60.55/9.54 | | | | | | | | | | | | | | | (all_20_10 = e12) | all_20_3 = e13) & ( ~ % 60.55/9.54 | | | | | | | | | | | | | | | (all_20_14 = e12) | all_20_4 = e11) & ( ~ % 60.55/9.54 | | | | | | | | | | | | | | | (all_20_15 = e12) | all_20_5 = e10)) % 60.55/9.54 | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | BETA: splitting (3425) gives: % 60.55/9.54 | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | Case 1: % 60.55/9.54 | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | (3426) all_20_10 = e13 & ( ~ (all_20_12 = e13) | all_20_0 % 60.55/9.54 | | | | | | | | | | | | | | | | = e12) & ( ~ (all_20_14 = e13) | all_20_1 = e11) % 60.55/9.54 | | | | | | | | | | | | | | | | & ( ~ (all_20_15 = e13) | all_20_2 = e10) % 60.55/9.54 | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | ALPHA: (3426) implies: % 60.55/9.54 | | | | | | | | | | | | | | | | (3427) all_20_10 = e13 % 60.55/9.54 | | | | | | | | | | | | | | | | (3428) ~ (all_20_14 = e13) | all_20_1 = e11 % 60.55/9.54 | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | COMBINE_EQS: (636), (3427) imply: % 60.55/9.54 | | | | | | | | | | | | | | | | (3429) all_12_0 = e13 % 60.55/9.54 | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | COMBINE_EQS: (810), (3429) imply: % 60.55/9.54 | | | | | | | | | | | | | | | | (3430) all_24_0 = e13 % 60.55/9.54 | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | REDUCE: (106), (3429) imply: % 60.55/9.54 | | | | | | | | | | | | | | | | (3431) ~ (all_12_8 = e13) % 60.55/9.54 | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | SIMP: (3431) implies: % 60.55/9.54 | | | | | | | | | | | | | | | | (3432) ~ (all_12_8 = e13) % 60.55/9.54 | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | BETA: splitting (3242) gives: % 60.55/9.54 | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | Case 1: % 60.55/9.54 | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | (3433) all_16_2 = e12 % 60.55/9.54 | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | COMBINE_EQS: (775), (3433) imply: % 60.55/9.54 | | | | | | | | | | | | | | | | | (3434) all_12_8 = e12 % 60.55/9.54 | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | SIMP: (3434) implies: % 60.55/9.54 | | | | | | | | | | | | | | | | | (3435) all_12_8 = e12 % 60.55/9.54 | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | REDUCE: (870), (3435) imply: % 60.55/9.54 | | | | | | | | | | | | | | | | | (3436) $false % 60.55/9.54 | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | CLOSE: (3436) is inconsistent. % 60.55/9.54 | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | Case 2: % 60.55/9.54 | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | (3437) ~ (all_16_2 = e12) % 60.55/9.54 | | | | | | | | | | | | | | | | | (3438) all_16_2 = e13 | all_16_2 = e11 % 60.55/9.54 | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | BETA: splitting (3438) gives: % 60.55/9.54 | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | Case 1: % 60.55/9.54 | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | (3439) all_16_2 = e11 % 60.55/9.54 | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (775), (3439) imply: % 60.55/9.54 | | | | | | | | | | | | | | | | | | (3440) all_12_8 = e11 % 60.55/9.54 | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | SIMP: (3440) implies: % 60.55/9.54 | | | | | | | | | | | | | | | | | | (3441) all_12_8 = e11 % 60.55/9.54 | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (713), (3441) imply: % 60.55/9.54 | | | | | | | | | | | | | | | | | | (3442) all_20_6 = e11 % 60.55/9.54 | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (641), (3441) imply: % 60.55/9.54 | | | | | | | | | | | | | | | | | | (3443) all_24_4 = e11 % 60.55/9.54 | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | REDUCE: (3432), (3441) imply: % 60.55/9.54 | | | | | | | | | | | | | | | | | | (3444) ~ (e13 = e11) % 60.55/9.54 | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | REDUCE: (870), (3441) imply: % 60.55/9.54 | | | | | | | | | | | | | | | | | | (3445) ~ (e12 = e11) % 60.55/9.54 | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | BETA: splitting (320) gives: % 60.55/9.54 | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | Case 1: % 60.55/9.54 | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | (3446) all_24_0 = e12 % 60.55/9.54 | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3430), (3446) imply: % 60.55/9.54 | | | | | | | | | | | | | | | | | | | (3447) e13 = e12 % 60.55/9.54 | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | SIMP: (3447) implies: % 60.55/9.54 | | | | | | | | | | | | | | | | | | | (3448) e13 = e12 % 60.55/9.54 | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | REDUCE: (3225), (3448) imply: % 60.55/9.54 | | | | | | | | | | | | | | | | | | | (3449) $false % 60.55/9.54 | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | CLOSE: (3449) is inconsistent. % 60.55/9.54 | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | Case 2: % 60.55/9.54 | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | (3450) ~ (all_24_0 = e12) % 60.55/9.54 | | | | | | | | | | | | | | | | | | | (3451) all_24_1 = e12 | all_24_4 = e12 | all_24_9 = e12 % 60.55/9.54 | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | BETA: splitting (3451) gives: % 60.55/9.54 | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | Case 1: % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | (3452) all_24_1 = e12 % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (809), (3452) imply: % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | (3453) all_12_4 = e12 % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | SIMP: (3453) implies: % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | (3454) all_12_4 = e12 % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (558), (3454) imply: % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | (3455) all_20_3 = e12 % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | BETA: splitting (268) gives: % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | Case 1: % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | (3456) (all_20_0 = e12 & all_20_14 = e13 & ~ (all_20_1 = % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_20_12 = e13)) | (all_20_0 = e12 % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | & all_20_15 = e13 & ~ (all_20_2 = e10) & ~ % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | (all_20_12 = e13)) | (all_20_1 = e11 & all_20_12 % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | = e13 & ~ (all_20_0 = e12) & ~ (all_20_14 = % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | e13)) | (all_20_1 = e11 & all_20_15 = e13 & ~ % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | (all_20_2 = e10) & ~ (all_20_14 = e13)) | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | (all_20_2 = e10 & all_20_12 = e13 & ~ (all_20_0 = % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | e12) & ~ (all_20_15 = e13)) | (all_20_2 = e10 % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | & all_20_14 = e13 & ~ (all_20_1 = e11) & ~ % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e13)) | (all_20_3 = e13 & all_20_14 % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | = e12 & ~ (all_20_4 = e11) & ~ (all_20_10 = % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | e12)) | (all_20_3 = e13 & all_20_15 = e12 & ~ % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | (all_20_5 = e10) & ~ (all_20_10 = e12)) | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | (all_20_4 = e11 & all_20_10 = e12 & ~ (all_20_3 = % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_20_14 = e12)) | (all_20_4 = e11 % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | & all_20_15 = e12 & ~ (all_20_5 = e10) & ~ % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | (all_20_14 = e12)) | (all_20_5 = e10 & all_20_10 % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | = e12 & ~ (all_20_3 = e13) & ~ (all_20_15 = % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | e12)) | (all_20_5 = e10 & all_20_14 = e12 & ~ % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | (all_20_4 = e11) & ~ (all_20_15 = e12)) % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3456) gives: % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | Case 1: % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | (3457) (all_20_0 = e12 & all_20_14 = e13 & ~ (all_20_1 = % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_20_12 = e13)) | (all_20_0 = e12 % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | & all_20_15 = e13 & ~ (all_20_2 = e10) & ~ % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | (all_20_12 = e13)) | (all_20_1 = e11 & all_20_12 % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | = e13 & ~ (all_20_0 = e12) & ~ (all_20_14 = % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | e13)) | (all_20_1 = e11 & all_20_15 = e13 & ~ % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | (all_20_2 = e10) & ~ (all_20_14 = e13)) | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | (all_20_2 = e10 & all_20_12 = e13 & ~ (all_20_0 = % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | e12) & ~ (all_20_15 = e13)) | (all_20_2 = e10 % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | & all_20_14 = e13 & ~ (all_20_1 = e11) & ~ % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e13)) % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3457) gives: % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | (3458) (all_20_0 = e12 & all_20_14 = e13 & ~ (all_20_1 = % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_20_12 = e13)) | (all_20_0 = e12 % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | & all_20_15 = e13 & ~ (all_20_2 = e10) & ~ % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | (all_20_12 = e13)) | (all_20_1 = e11 & all_20_12 % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | = e13 & ~ (all_20_0 = e12) & ~ (all_20_14 = % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | e13)) % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3458) gives: % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | (3459) all_20_0 = e12 & all_20_14 = e13 & ~ (all_20_1 = % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_20_12 = e13) % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3459) implies: % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | (3460) all_20_14 = e13 % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | (3461) ~ (all_20_1 = e11) % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (717), (3428), (3460), (3461) are inconsistent by % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #42. % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | (3462) (all_20_0 = e12 & all_20_15 = e13 & ~ (all_20_2 = % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | e10) & ~ (all_20_12 = e13)) | (all_20_1 = e11 % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | & all_20_12 = e13 & ~ (all_20_0 = e12) & ~ % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | (all_20_14 = e13)) % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3462) gives: % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | (3463) all_20_0 = e12 & all_20_15 = e13 & ~ (all_20_2 = % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | e10) & ~ (all_20_12 = e13) % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3463) implies: % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | (3464) all_20_15 = e13 % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (803), (878), (3464) are inconsistent by sub-proof % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | #13. % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | (3465) all_20_1 = e11 & all_20_12 = e13 & ~ (all_20_0 = % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | e12) & ~ (all_20_14 = e13) % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3465) implies: % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | (3466) all_20_12 = e13 % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (711), (3466) imply: % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | (3467) all_12_5 = e13 % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (867), (3467) imply: % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | (3468) $false % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3468) is inconsistent. % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | End of split % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | (3469) (all_20_1 = e11 & all_20_15 = e13 & ~ (all_20_2 = % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | e10) & ~ (all_20_14 = e13)) | (all_20_2 = e10 % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | & all_20_12 = e13 & ~ (all_20_0 = e12) & ~ % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e13)) | (all_20_2 = e10 & all_20_14 % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | = e13 & ~ (all_20_1 = e11) & ~ (all_20_15 = % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | e13)) % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3469) gives: % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | (3470) all_20_1 = e11 & all_20_15 = e13 & ~ (all_20_2 = % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | e10) & ~ (all_20_14 = e13) % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3470) implies: % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | (3471) all_20_15 = e13 % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (803), (878), (3471) are inconsistent by sub-proof % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | #13. % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | (3472) (all_20_2 = e10 & all_20_12 = e13 & ~ (all_20_0 = % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | e12) & ~ (all_20_15 = e13)) | (all_20_2 = e10 % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | & all_20_14 = e13 & ~ (all_20_1 = e11) & ~ % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e13)) % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3472) gives: % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | (3473) all_20_2 = e10 & all_20_12 = e13 & ~ (all_20_0 = % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | e12) & ~ (all_20_15 = e13) % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3473) implies: % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | (3474) all_20_12 = e13 % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (711), (3474) imply: % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | (3475) all_12_5 = e13 % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (867), (3475) imply: % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | (3476) $false % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3476) is inconsistent. % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | (3477) all_20_2 = e10 & all_20_14 = e13 & ~ (all_20_1 = % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_20_15 = e13) % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3477) implies: % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | (3478) all_20_14 = e13 % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | (3479) ~ (all_20_1 = e11) % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (717), (3428), (3478), (3479) are inconsistent by % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #42. % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | End of split % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | End of split % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | Case 2: % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | (3480) (all_20_3 = e13 & all_20_14 = e12 & ~ (all_20_4 = % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_20_10 = e12)) | (all_20_3 = e13 % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | & all_20_15 = e12 & ~ (all_20_5 = e10) & ~ % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | (all_20_10 = e12)) | (all_20_4 = e11 & all_20_10 % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | = e12 & ~ (all_20_3 = e13) & ~ (all_20_14 = % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | e12)) | (all_20_4 = e11 & all_20_15 = e12 & ~ % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | (all_20_5 = e10) & ~ (all_20_14 = e12)) | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | (all_20_5 = e10 & all_20_10 = e12 & ~ (all_20_3 = % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_20_15 = e12)) | (all_20_5 = e10 % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | & all_20_14 = e12 & ~ (all_20_4 = e11) & ~ % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e12)) % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3480) gives: % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | (3481) (all_20_3 = e13 & all_20_14 = e12 & ~ (all_20_4 = % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_20_10 = e12)) | (all_20_3 = e13 % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | & all_20_15 = e12 & ~ (all_20_5 = e10) & ~ % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | (all_20_10 = e12)) | (all_20_4 = e11 & all_20_10 % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | = e12 & ~ (all_20_3 = e13) & ~ (all_20_14 = % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | e12)) % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3481) gives: % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | (3482) all_20_3 = e13 & all_20_14 = e12 & ~ (all_20_4 = % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_20_10 = e12) % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3482) implies: % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | (3483) all_20_3 = e13 % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3455), (3483) imply: % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | (3484) e13 = e12 % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3225), (3484) imply: % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | (3485) $false % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3485) is inconsistent. % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | (3486) (all_20_3 = e13 & all_20_15 = e12 & ~ (all_20_5 = % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | e10) & ~ (all_20_10 = e12)) | (all_20_4 = e11 % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | & all_20_10 = e12 & ~ (all_20_3 = e13) & ~ % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | (all_20_14 = e12)) % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3486) gives: % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | (3487) all_20_3 = e13 & all_20_15 = e12 & ~ (all_20_5 = % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | e10) & ~ (all_20_10 = e12) % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3487) implies: % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | (3488) all_20_15 = e12 % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (803), (3226), (3488) are inconsistent by % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #11. % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | (3489) all_20_4 = e11 & all_20_10 = e12 & ~ (all_20_3 = % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_20_14 = e12) % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3489) implies: % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | (3490) all_20_4 = e11 % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3423), (3490) imply: % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | (3491) e11 = e10 % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (3491) imply: % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | (3492) $false % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3492) is inconsistent. % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | End of split % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | (3493) (all_20_4 = e11 & all_20_15 = e12 & ~ (all_20_5 = % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | e10) & ~ (all_20_14 = e12)) | (all_20_5 = e10 % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | & all_20_10 = e12 & ~ (all_20_3 = e13) & ~ % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e12)) | (all_20_5 = e10 & all_20_14 % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | = e12 & ~ (all_20_4 = e11) & ~ (all_20_15 = % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | e12)) % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3493) gives: % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | (3494) all_20_4 = e11 & all_20_15 = e12 & ~ (all_20_5 = % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | e10) & ~ (all_20_14 = e12) % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3494) implies: % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | (3495) all_20_4 = e11 % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3423), (3495) imply: % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | (3496) e11 = e10 % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (3496) imply: % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | (3497) $false % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3497) is inconsistent. % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | (3498) (all_20_5 = e10 & all_20_10 = e12 & ~ (all_20_3 = % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_20_15 = e12)) | (all_20_5 = e10 % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | & all_20_14 = e12 & ~ (all_20_4 = e11) & ~ % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e12)) % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3498) gives: % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | (3499) all_20_5 = e10 & all_20_10 = e12 & ~ (all_20_3 = % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_20_15 = e12) % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3499) implies: % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | (3500) all_20_10 = e12 % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | (3501) all_20_5 = e10 % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3406), (3501) imply: % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | (3502) e13 = e10 % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3502) implies: % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | (3503) e13 = e10 % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3427), (3500) imply: % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | (3504) e13 = e12 % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3503), (3504) imply: % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | (3505) e12 = e10 % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3227), (3505) imply: % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | (3506) $false % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3506) is inconsistent. % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | (3507) all_20_5 = e10 & all_20_14 = e12 & ~ (all_20_4 = % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_20_15 = e12) % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3507) implies: % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | (3508) all_20_5 = e10 % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3406), (3508) imply: % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | (3509) e13 = e10 % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3509) implies: % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | (3510) e13 = e10 % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (3510) imply: % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | (3511) $false % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3511) is inconsistent. % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | End of split % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | End of split % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | End of split % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | Case 2: % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | (3512) (all_20_6 = e13 & all_20_12 = e11 & ~ (all_20_7 = % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | e12) & ~ (all_20_10 = e11)) | (all_20_6 = e13 % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | & all_20_15 = e11 & ~ (all_20_8 = e10) & ~ % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | (all_20_10 = e11)) | (all_20_7 = e12 & all_20_10 % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | = e11 & ~ (all_20_6 = e13) & ~ (all_20_12 = % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | e11)) | (all_20_7 = e12 & all_20_15 = e11 & ~ % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | (all_20_8 = e10) & ~ (all_20_12 = e11)) | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | (all_20_8 = e10 & all_20_10 = e11 & ~ (all_20_6 = % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_20_15 = e11)) | (all_20_8 = e10 % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | & all_20_12 = e11 & ~ (all_20_7 = e12) & ~ % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e11)) | (all_20_9 = e13 & all_20_12 % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | = e10 & ~ (all_20_10 = e10) & ~ (all_20_11 = % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | e12)) | (all_20_9 = e13 & all_20_14 = e10 & ~ % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | (all_20_10 = e10) & ~ (all_20_13 = e11)) | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | (all_20_10 = e10 & all_20_11 = e12 & ~ (all_20_9 % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_20_12 = e10)) | (all_20_10 = % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | e10 & all_20_13 = e11 & ~ (all_20_9 = e13) & ~ % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | (all_20_14 = e10)) | (all_20_11 = e12 & % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | all_20_14 = e10 & ~ (all_20_12 = e10) & ~ % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | (all_20_13 = e11)) | (all_20_12 = e10 & % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | all_20_13 = e11 & ~ (all_20_11 = e12) & ~ % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | (all_20_14 = e10)) % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3512) gives: % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | Case 1: % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | (3513) (all_20_6 = e13 & all_20_12 = e11 & ~ (all_20_7 = % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | e12) & ~ (all_20_10 = e11)) | (all_20_6 = e13 % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | & all_20_15 = e11 & ~ (all_20_8 = e10) & ~ % 60.55/9.54 | | | | | | | | | | | | | | | | | | | | | | (all_20_10 = e11)) | (all_20_7 = e12 & all_20_10 % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | = e11 & ~ (all_20_6 = e13) & ~ (all_20_12 = % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | e11)) | (all_20_7 = e12 & all_20_15 = e11 & ~ % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | (all_20_8 = e10) & ~ (all_20_12 = e11)) | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | (all_20_8 = e10 & all_20_10 = e11 & ~ (all_20_6 = % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_20_15 = e11)) | (all_20_8 = e10 % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | & all_20_12 = e11 & ~ (all_20_7 = e12) & ~ % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e11)) % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3513) gives: % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | (3514) (all_20_6 = e13 & all_20_12 = e11 & ~ (all_20_7 = % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | e12) & ~ (all_20_10 = e11)) | (all_20_6 = e13 % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | & all_20_15 = e11 & ~ (all_20_8 = e10) & ~ % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | (all_20_10 = e11)) | (all_20_7 = e12 & all_20_10 % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | = e11 & ~ (all_20_6 = e13) & ~ (all_20_12 = % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | e11)) % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3514) gives: % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | (3515) all_20_6 = e13 & all_20_12 = e11 & ~ (all_20_7 = % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | e12) & ~ (all_20_10 = e11) % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (878), (3442), (3515) are inconsistent by % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #36. % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | (3516) (all_20_6 = e13 & all_20_15 = e11 & ~ (all_20_8 = % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | e10) & ~ (all_20_10 = e11)) | (all_20_7 = e12 % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | & all_20_10 = e11 & ~ (all_20_6 = e13) & ~ % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | (all_20_12 = e11)) % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3516) gives: % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | (3517) all_20_6 = e13 & all_20_15 = e11 & ~ (all_20_8 = % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | e10) & ~ (all_20_10 = e11) % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (878), (3442), (3517) are inconsistent by % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #35. % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | (3518) all_20_7 = e12 & all_20_10 = e11 & ~ (all_20_6 = % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_20_12 = e11) % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3518) implies: % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | (3519) all_20_7 = e12 % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3412), (3519) imply: % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | (3520) e12 = e10 % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3227), (3520) imply: % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | (3521) $false % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3521) is inconsistent. % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | End of split % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | (3522) (all_20_7 = e12 & all_20_15 = e11 & ~ (all_20_8 = % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | e10) & ~ (all_20_12 = e11)) | (all_20_8 = e10 % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | & all_20_10 = e11 & ~ (all_20_6 = e13) & ~ % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e11)) | (all_20_8 = e10 & all_20_12 % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | = e11 & ~ (all_20_7 = e12) & ~ (all_20_15 = % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | e11)) % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3522) gives: % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | (3523) all_20_7 = e12 & all_20_15 = e11 & ~ (all_20_8 = % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | e10) & ~ (all_20_12 = e11) % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3523) implies: % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | (3524) all_20_7 = e12 % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3412), (3524) imply: % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | (3525) e12 = e10 % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3227), (3525) imply: % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | (3526) $false % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3526) is inconsistent. % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | (3527) (all_20_8 = e10 & all_20_10 = e11 & ~ (all_20_6 = % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_20_15 = e11)) | (all_20_8 = e10 % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | & all_20_12 = e11 & ~ (all_20_7 = e12) & ~ % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | (all_20_15 = e11)) % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3527) gives: % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | (3528) all_20_8 = e10 & all_20_10 = e11 & ~ (all_20_6 = % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_20_15 = e11) % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3528) implies: % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | (3529) all_20_8 = e10 % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (505), (3227), (3529) are inconsistent by % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #9. % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | (3530) all_20_8 = e10 & all_20_12 = e11 & ~ (all_20_7 = % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | e12) & ~ (all_20_15 = e11) % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3530) implies: % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | (3531) all_20_8 = e10 % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (505), (3227), (3531) are inconsistent by % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #9. % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | End of split % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | End of split % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | Case 2: % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | (3532) (all_20_9 = e13 & all_20_12 = e10 & ~ (all_20_10 % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_20_11 = e12)) | (all_20_9 = % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | e13 & all_20_14 = e10 & ~ (all_20_10 = e10) & % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | ~ (all_20_13 = e11)) | (all_20_10 = e10 & % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | all_20_11 = e12 & ~ (all_20_9 = e13) & ~ % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | (all_20_12 = e10)) | (all_20_10 = e10 & % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | all_20_13 = e11 & ~ (all_20_9 = e13) & ~ % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | (all_20_14 = e10)) | (all_20_11 = e12 & % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | all_20_14 = e10 & ~ (all_20_12 = e10) & ~ % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | (all_20_13 = e11)) | (all_20_12 = e10 & % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | all_20_13 = e11 & ~ (all_20_11 = e12) & ~ % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | (all_20_14 = e10)) % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3532) gives: % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | (3533) (all_20_9 = e13 & all_20_12 = e10 & ~ (all_20_10 % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_20_11 = e12)) | (all_20_9 = % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | e13 & all_20_14 = e10 & ~ (all_20_10 = e10) & % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | ~ (all_20_13 = e11)) | (all_20_10 = e10 & % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | all_20_11 = e12 & ~ (all_20_9 = e13) & ~ % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | (all_20_12 = e10)) % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3533) gives: % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | (3534) all_20_9 = e13 & all_20_12 = e10 & ~ (all_20_10 = % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | e10) & ~ (all_20_11 = e12) % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3534) implies: % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | (3535) all_20_9 = e13 % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3231), (3535) imply: % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | (3536) e13 = e10 % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (3536) imply: % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | (3537) $false % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3537) is inconsistent. % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | (3538) (all_20_9 = e13 & all_20_14 = e10 & ~ (all_20_10 % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_20_13 = e11)) | (all_20_10 = % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | e10 & all_20_11 = e12 & ~ (all_20_9 = e13) & ~ % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | (all_20_12 = e10)) % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3538) gives: % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | (3539) all_20_9 = e13 & all_20_14 = e10 & ~ (all_20_10 = % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | e10) & ~ (all_20_13 = e11) % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3539) implies: % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | (3540) all_20_9 = e13 % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3231), (3540) imply: % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | (3541) e13 = e10 % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (3541) imply: % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | (3542) $false % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3542) is inconsistent. % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | (3543) all_20_10 = e10 & all_20_11 = e12 & ~ (all_20_9 = % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_20_12 = e10) % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3543) implies: % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | (3544) all_20_11 = e12 % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | (3545) all_20_10 = e10 % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3427), (3545) imply: % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | (3546) e13 = e10 % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3546) implies: % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | (3547) e13 = e10 % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (725), (3544) imply: % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | (3548) e13 = e12 % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3547), (3548) imply: % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | (3549) e12 = e10 % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3227), (3549) imply: % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | (3550) $false % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3550) is inconsistent. % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | End of split % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | (3551) (all_20_10 = e10 & all_20_13 = e11 & ~ (all_20_9 % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_20_14 = e10)) | (all_20_11 = % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | e12 & all_20_14 = e10 & ~ (all_20_12 = e10) & % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | ~ (all_20_13 = e11)) | (all_20_12 = e10 & % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | all_20_13 = e11 & ~ (all_20_11 = e12) & ~ % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | (all_20_14 = e10)) % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3551) gives: % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | (3552) all_20_10 = e10 & all_20_13 = e11 & ~ (all_20_9 = % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_20_14 = e10) % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3552) implies: % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | (3553) all_20_13 = e11 % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3220), (3553) imply: % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | (3554) e12 = e11 % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3226), (3554) imply: % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | (3555) $false % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3555) is inconsistent. % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | (3556) (all_20_11 = e12 & all_20_14 = e10 & ~ (all_20_12 % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_20_13 = e11)) | (all_20_12 = % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | e10 & all_20_13 = e11 & ~ (all_20_11 = e12) & % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_20_14 = e10)) % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3556) gives: % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | (3557) all_20_11 = e12 & all_20_14 = e10 & ~ (all_20_12 % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | = e10) & ~ (all_20_13 = e11) % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3557) implies: % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | (3558) all_20_11 = e12 % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (725), (3225), (3558) are inconsistent by % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #55. % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | (3559) all_20_12 = e10 & all_20_13 = e11 & ~ (all_20_11 % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | = e12) & ~ (all_20_14 = e10) % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3559) implies: % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | (3560) all_20_13 = e11 % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3220), (3560) imply: % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | (3561) e12 = e11 % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3226), (3561) imply: % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | (3562) $false % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3562) is inconsistent. % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | End of split % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | End of split % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | End of split % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | End of split % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | Case 2: % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | (3563) all_24_4 = e12 | all_24_9 = e12 % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | BETA: splitting (3563) gives: % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | Case 1: % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | (3564) all_24_4 = e12 % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3443), (3564) imply: % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | (3565) e12 = e11 % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | REDUCE: (3226), (3565) imply: % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | (3566) $false % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | CLOSE: (3566) is inconsistent. % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | Case 2: % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | (3567) all_24_9 = e12 % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3232), (3567) imply: % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | (3568) e12 = e10 % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | REDUCE: (3227), (3568) imply: % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | (3569) $false % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | CLOSE: (3569) is inconsistent. % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | End of split % 60.55/9.55 | | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | | End of split % 60.55/9.55 | | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | End of split % 60.55/9.55 | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | Case 2: % 60.55/9.55 | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | (3570) all_16_2 = e13 % 60.55/9.55 | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (775), (3570) imply: % 60.55/9.55 | | | | | | | | | | | | | | | | | | (3571) all_12_8 = e13 % 60.55/9.55 | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | SIMP: (3571) implies: % 60.55/9.55 | | | | | | | | | | | | | | | | | | (3572) all_12_8 = e13 % 60.55/9.55 | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | REDUCE: (3432), (3572) imply: % 60.55/9.55 | | | | | | | | | | | | | | | | | | (3573) $false % 60.55/9.55 | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | CLOSE: (3573) is inconsistent. % 60.55/9.55 | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | End of split % 60.55/9.55 | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | End of split % 60.55/9.55 | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | Case 2: % 60.55/9.55 | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | (3574) all_20_12 = e12 & ( ~ (all_20_10 = e12) | all_20_3 % 60.55/9.55 | | | | | | | | | | | | | | | | = e13) & ( ~ (all_20_14 = e12) | all_20_4 = e11) % 60.55/9.55 | | | | | | | | | | | | | | | | & ( ~ (all_20_15 = e12) | all_20_5 = e10) % 60.55/9.55 | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | ALPHA: (3574) implies: % 60.55/9.55 | | | | | | | | | | | | | | | | (3575) all_20_12 = e12 % 60.55/9.55 | | | | | | | | | | | | | | | | (3576) ~ (all_20_10 = e12) | all_20_3 = e13 % 60.55/9.55 | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | COMBINE_EQS: (711), (3575) imply: % 60.55/9.55 | | | | | | | | | | | | | | | | (3577) all_12_5 = e12 % 60.55/9.55 | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | COMBINE_EQS: (648), (3577) imply: % 60.55/9.55 | | | | | | | | | | | | | | | | (3578) all_24_3 = e12 % 60.55/9.55 | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | REDUCE: (102), (3577) imply: % 60.55/9.55 | | | | | | | | | | | | | | | | (3579) ~ (all_12_1 = e12) % 60.55/9.55 | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | BETA: splitting (316) gives: % 60.55/9.55 | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | Case 1: % 60.55/9.55 | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | (3580) all_24_1 = e11 % 60.55/9.55 | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | COMBINE_EQS: (809), (3580) imply: % 60.55/9.55 | | | | | | | | | | | | | | | | | (3581) all_12_4 = e11 % 60.55/9.55 | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | SIMP: (3581) implies: % 60.55/9.55 | | | | | | | | | | | | | | | | | (3582) all_12_4 = e11 % 60.55/9.55 | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | COMBINE_EQS: (558), (3582) imply: % 60.55/9.55 | | | | | | | | | | | | | | | | | (3583) all_20_3 = e11 % 60.55/9.55 | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | REDUCE: (3407), (3582) imply: % 60.55/9.55 | | | | | | | | | | | | | | | | | (3584) ~ (e13 = e11) % 60.55/9.55 | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | BETA: splitting (319) gives: % 60.55/9.55 | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | Case 1: % 60.55/9.55 | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | (3585) all_24_0 = e12 % 60.55/9.55 | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (810), (3585) imply: % 60.55/9.55 | | | | | | | | | | | | | | | | | | (3586) all_12_0 = e12 % 60.55/9.55 | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | SIMP: (3586) implies: % 60.55/9.55 | | | | | | | | | | | | | | | | | | (3587) all_12_0 = e12 % 60.55/9.55 | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (636), (3587) imply: % 60.55/9.55 | | | | | | | | | | | | | | | | | | (3588) all_20_10 = e12 % 60.55/9.55 | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | REF_CLOSE: (878), (3576), (3583), (3588) are inconsistent by % 60.55/9.55 | | | | | | | | | | | | | | | | | | sub-proof #5. % 60.55/9.55 | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | Case 2: % 60.55/9.55 | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | (3589) all_24_2 = e12 | all_24_6 = e12 | all_24_12 = e12 % 60.55/9.55 | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | REF_CLOSE: (646), (655), (3222), (3227), (3393), (3579), % 60.55/9.55 | | | | | | | | | | | | | | | | | | (3589) are inconsistent by sub-proof #25. % 60.55/9.55 | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | End of split % 60.55/9.55 | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | Case 2: % 60.55/9.55 | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | (3590) all_24_3 = e11 | all_24_7 = e11 | all_24_13 = e11 % 60.55/9.55 | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | BETA: splitting (3590) gives: % 60.55/9.55 | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | Case 1: % 60.55/9.55 | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | (3591) all_24_3 = e11 % 60.55/9.55 | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | REF_CLOSE: (3226), (3578), (3591) are inconsistent by % 60.55/9.55 | | | | | | | | | | | | | | | | | | sub-proof #21. % 60.55/9.55 | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | Case 2: % 60.55/9.55 | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | (3592) all_24_7 = e11 | all_24_13 = e11 % 60.55/9.55 | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (878), (3403), (3420), (3592) are % 60.55/9.55 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #19. % 60.55/9.55 | | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | | End of split % 60.55/9.55 | | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | End of split % 60.55/9.55 | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | End of split % 60.55/9.55 | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | Case 2: % 60.55/9.55 | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | (3593) (all_20_14 = e11 & ( ~ (all_20_10 = e11) | % 60.55/9.55 | | | | | | | | | | | | | | | all_20_6 = e13) & ( ~ (all_20_12 = e11) | % 60.55/9.55 | | | | | | | | | | | | | | | all_20_7 = e12) & ( ~ (all_20_15 = e11) | % 60.55/9.55 | | | | | | | | | | | | | | | all_20_8 = e10)) | (all_20_15 = e10 & ( ~ % 60.55/9.55 | | | | | | | | | | | | | | | (all_20_10 = e10) | all_20_9 = e13) & ( ~ % 60.55/9.55 | | | | | | | | | | | | | | | (all_20_12 = e10) | all_20_11 = e12) & ( ~ % 60.55/9.55 | | | | | | | | | | | | | | | (all_20_14 = e10) | all_20_13 = e11)) % 60.55/9.55 | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | BETA: splitting (3593) gives: % 60.55/9.55 | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | Case 1: % 60.55/9.55 | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | (3594) all_20_14 = e11 & ( ~ (all_20_10 = e11) | all_20_6 % 60.55/9.55 | | | | | | | | | | | | | | | | = e13) & ( ~ (all_20_12 = e11) | all_20_7 = e12) % 60.55/9.55 | | | | | | | | | | | | | | | | & ( ~ (all_20_15 = e11) | all_20_8 = e10) % 60.55/9.55 | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | | REF_CLOSE: (505), (803), (3227), (3594) are inconsistent by % 60.55/9.55 | | | | | | | | | | | | | | | | sub-proof #51. % 60.55/9.55 | | | | | | | | | | | | | | | | % 60.55/9.55 | | | | | | | | | | | | | | | Case 2: % 60.55/9.55 | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | (3595) all_20_15 = e10 & ( ~ (all_20_10 = e10) | all_20_9 % 60.55/9.56 | | | | | | | | | | | | | | | | = e13) & ( ~ (all_20_12 = e10) | all_20_11 = % 60.55/9.56 | | | | | | | | | | | | | | | | e12) & ( ~ (all_20_14 = e10) | all_20_13 = e11) % 60.55/9.56 | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | REF_CLOSE: (7), (803), (3595) are inconsistent by sub-proof % 60.55/9.56 | | | | | | | | | | | | | | | | #17. % 60.55/9.56 | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | End of split % 60.55/9.56 | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | End of split % 60.55/9.56 | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | Case 2: % 60.55/9.56 | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | (3596) all_24_8 = e10 | all_24_11 = e10 % 60.55/9.56 | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | BETA: splitting (3596) gives: % 60.55/9.56 | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | Case 1: % 60.55/9.56 | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | (3597) all_24_8 = e10 % 60.55/9.56 | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | COMBINE_EQS: (521), (3597) imply: % 60.55/9.56 | | | | | | | | | | | | | | | (3598) all_12_10 = e10 % 60.55/9.56 | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | SIMP: (3598) implies: % 60.55/9.56 | | | | | | | | | | | | | | | (3599) all_12_10 = e10 % 60.55/9.56 | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | REDUCE: (3414), (3599) imply: % 60.55/9.56 | | | | | | | | | | | | | | | (3600) $false % 60.55/9.56 | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | CLOSE: (3600) is inconsistent. % 60.55/9.56 | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | Case 2: % 60.55/9.56 | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | (3601) all_24_11 = e10 % 60.55/9.56 | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | REF_CLOSE: (3221), (3227), (3601) are inconsistent by % 60.55/9.56 | | | | | | | | | | | | | | | sub-proof #2. % 60.55/9.56 | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | End of split % 60.55/9.56 | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | End of split % 60.55/9.56 | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | End of split % 60.55/9.56 | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | Case 2: % 60.55/9.56 | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | (3602) ~ (all_16_6 = e10) % 60.55/9.56 | | | | | | | | | | | | (3603) all_16_6 = e13 | all_16_6 = e12 | all_16_6 = e11 % 60.55/9.56 | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | REDUCE: (776), (3602) imply: % 60.55/9.56 | | | | | | | | | | | | (3604) ~ (all_12_9 = e10) % 60.55/9.56 | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | BETA: splitting (313) gives: % 60.55/9.56 | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | Case 1: % 60.55/9.56 | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | (3605) all_24_2 = e10 % 60.55/9.56 | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | REF_CLOSE: (646), (3396), (3605) are inconsistent by % 60.55/9.56 | | | | | | | | | | | | | sub-proof #14. % 60.55/9.56 | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | Case 2: % 60.55/9.56 | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | (3606) all_24_3 = e10 | all_24_5 = e10 | all_24_10 = e10 % 60.55/9.56 | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | BETA: splitting (3606) gives: % 60.55/9.56 | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | Case 1: % 60.55/9.56 | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | (3607) all_24_3 = e10 % 60.55/9.56 | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | COMBINE_EQS: (648), (3607) imply: % 60.55/9.56 | | | | | | | | | | | | | | (3608) all_12_5 = e10 % 60.55/9.56 | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | SIMP: (3608) implies: % 60.55/9.56 | | | | | | | | | | | | | | (3609) all_12_5 = e10 % 60.55/9.56 | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | COMBINE_EQS: (711), (3609) imply: % 60.55/9.56 | | | | | | | | | | | | | | (3610) all_20_12 = e10 % 60.55/9.56 | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | REDUCE: (87), (3609) imply: % 60.55/9.56 | | | | | | | | | | | | | | (3611) ~ (all_12_6 = e10) % 60.55/9.56 | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | SIMP: (3611) implies: % 60.55/9.56 | | | | | | | | | | | | | | (3612) ~ (all_12_6 = e10) % 60.55/9.56 | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | BETA: splitting (267) gives: % 60.55/9.56 | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | Case 1: % 60.55/9.56 | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | (3613) (all_20_10 = e13 & ( ~ (all_20_12 = e13) | % 60.55/9.56 | | | | | | | | | | | | | | | all_20_0 = e12) & ( ~ (all_20_14 = e13) | % 60.55/9.56 | | | | | | | | | | | | | | | all_20_1 = e11) & ( ~ (all_20_15 = e13) | % 60.55/9.56 | | | | | | | | | | | | | | | all_20_2 = e10)) | (all_20_12 = e12 & ( ~ % 60.55/9.56 | | | | | | | | | | | | | | | (all_20_10 = e12) | all_20_3 = e13) & ( ~ % 60.55/9.56 | | | | | | | | | | | | | | | (all_20_14 = e12) | all_20_4 = e11) & ( ~ % 60.55/9.56 | | | | | | | | | | | | | | | (all_20_15 = e12) | all_20_5 = e10)) % 60.55/9.56 | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | BETA: splitting (3613) gives: % 60.55/9.56 | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | Case 1: % 60.55/9.56 | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | (3614) all_20_10 = e13 & ( ~ (all_20_12 = e13) | all_20_0 % 60.55/9.56 | | | | | | | | | | | | | | | | = e12) & ( ~ (all_20_14 = e13) | all_20_1 = e11) % 60.55/9.56 | | | | | | | | | | | | | | | | & ( ~ (all_20_15 = e13) | all_20_2 = e10) % 60.55/9.56 | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | ALPHA: (3614) implies: % 60.55/9.56 | | | | | | | | | | | | | | | | (3615) all_20_10 = e13 % 60.55/9.56 | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | COMBINE_EQS: (636), (3615) imply: % 60.55/9.56 | | | | | | | | | | | | | | | | (3616) all_12_0 = e13 % 60.55/9.56 | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | SIMP: (3616) implies: % 60.55/9.56 | | | | | | | | | | | | | | | | (3617) all_12_0 = e13 % 60.55/9.56 | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | REDUCE: (109), (3617) imply: % 60.55/9.56 | | | | | | | | | | | | | | | | (3618) ~ (all_12_2 = e13) % 60.55/9.56 | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | SIMP: (3618) implies: % 60.55/9.56 | | | | | | | | | | | | | | | | (3619) ~ (all_12_2 = e13) % 60.55/9.56 | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | BETA: splitting (213) gives: % 60.55/9.56 | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | Case 1: % 60.55/9.56 | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | (3620) all_16_9 = e10 % 60.55/9.56 | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | COMBINE_EQS: (771), (3620) imply: % 60.55/9.56 | | | | | | | | | | | | | | | | | (3621) all_12_6 = e10 % 60.55/9.56 | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | REDUCE: (3612), (3621) imply: % 60.55/9.56 | | | | | | | | | | | | | | | | | (3622) $false % 60.55/9.56 | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | CLOSE: (3622) is inconsistent. % 60.55/9.56 | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | Case 2: % 60.55/9.56 | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | (3623) all_16_9 = e13 | all_16_9 = e12 | all_16_9 = e11 % 60.55/9.56 | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | BETA: splitting (214) gives: % 60.55/9.56 | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | Case 1: % 60.55/9.56 | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | (3624) all_16_8 = e10 % 60.55/9.56 | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (767), (3624) imply: % 60.55/9.56 | | | | | | | | | | | | | | | | | | (3625) all_12_2 = e10 % 60.55/9.56 | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | REDUCE: (3397), (3625) imply: % 60.55/9.56 | | | | | | | | | | | | | | | | | | (3626) $false % 60.55/9.56 | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | CLOSE: (3626) is inconsistent. % 60.55/9.56 | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | Case 2: % 60.55/9.56 | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | (3627) all_16_8 = e13 | all_16_8 = e12 | all_16_8 = e11 % 60.55/9.56 | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | BETA: splitting (3627) gives: % 60.55/9.56 | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | Case 1: % 60.55/9.56 | | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | | (3628) all_16_8 = e12 % 60.55/9.56 | | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (767), (3628) imply: % 60.55/9.56 | | | | | | | | | | | | | | | | | | | (3629) all_12_2 = e12 % 60.55/9.56 | | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | | REDUCE: (3222), (3629) imply: % 60.55/9.56 | | | | | | | | | | | | | | | | | | | (3630) $false % 60.55/9.56 | | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | | CLOSE: (3630) is inconsistent. % 60.55/9.56 | | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | Case 2: % 60.55/9.56 | | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | | (3631) all_16_8 = e13 | all_16_8 = e11 % 60.55/9.56 | | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | | BETA: splitting (3631) gives: % 60.55/9.56 | | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | | Case 1: % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | (3632) all_16_8 = e11 % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (767), (3632) imply: % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | (3633) all_12_2 = e11 % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | REDUCE: (98), (3633) imply: % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | (3634) ~ (all_12_6 = e11) % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | SIMP: (3634) implies: % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | (3635) ~ (all_12_6 = e11) % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (771), (3223), (3408), (3623), (3635) are % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1. % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | | Case 2: % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | (3636) all_16_8 = e13 % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (767), (3636) imply: % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | (3637) all_12_2 = e13 % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | REDUCE: (3619), (3637) imply: % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | (3638) $false % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | CLOSE: (3638) is inconsistent. % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | | End of split % 60.55/9.56 | | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | End of split % 60.55/9.56 | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | End of split % 60.55/9.56 | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | End of split % 60.55/9.56 | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | Case 2: % 60.55/9.56 | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | (3639) all_20_12 = e12 & ( ~ (all_20_10 = e12) | all_20_3 % 60.55/9.56 | | | | | | | | | | | | | | | | = e13) & ( ~ (all_20_14 = e12) | all_20_4 = e11) % 60.55/9.56 | | | | | | | | | | | | | | | | & ( ~ (all_20_15 = e12) | all_20_5 = e10) % 60.55/9.56 | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | ALPHA: (3639) implies: % 60.55/9.56 | | | | | | | | | | | | | | | | (3640) all_20_12 = e12 % 60.55/9.56 | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | REF_CLOSE: (3227), (3610), (3640) are inconsistent by % 60.55/9.56 | | | | | | | | | | | | | | | | sub-proof #57. % 60.55/9.56 | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | End of split % 60.55/9.56 | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | Case 2: % 60.55/9.56 | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | (3641) (all_20_14 = e11 & ( ~ (all_20_10 = e11) | % 60.55/9.56 | | | | | | | | | | | | | | | all_20_6 = e13) & ( ~ (all_20_12 = e11) | % 60.55/9.56 | | | | | | | | | | | | | | | all_20_7 = e12) & ( ~ (all_20_15 = e11) | % 60.55/9.56 | | | | | | | | | | | | | | | all_20_8 = e10)) | (all_20_15 = e10 & ( ~ % 60.55/9.56 | | | | | | | | | | | | | | | (all_20_10 = e10) | all_20_9 = e13) & ( ~ % 60.55/9.56 | | | | | | | | | | | | | | | (all_20_12 = e10) | all_20_11 = e12) & ( ~ % 60.55/9.56 | | | | | | | | | | | | | | | (all_20_14 = e10) | all_20_13 = e11)) % 60.55/9.56 | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | BETA: splitting (3641) gives: % 60.55/9.56 | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | Case 1: % 60.55/9.56 | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | (3642) all_20_14 = e11 & ( ~ (all_20_10 = e11) | all_20_6 % 60.55/9.56 | | | | | | | | | | | | | | | | = e13) & ( ~ (all_20_12 = e11) | all_20_7 = e12) % 60.55/9.56 | | | | | | | | | | | | | | | | & ( ~ (all_20_15 = e11) | all_20_8 = e10) % 60.55/9.56 | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | ALPHA: (3642) implies: % 60.55/9.56 | | | | | | | | | | | | | | | | (3643) all_20_14 = e11 % 60.55/9.56 | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | COMBINE_EQS: (721), (3643) imply: % 60.55/9.56 | | | | | | | | | | | | | | | | (3644) all_12_10 = e11 % 60.55/9.56 | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | REDUCE: (82), (3644) imply: % 60.55/9.56 | | | | | | | | | | | | | | | | (3645) ~ (all_12_6 = e11) % 60.55/9.56 | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | BETA: splitting (213) gives: % 60.55/9.56 | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | Case 1: % 60.55/9.56 | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | (3646) all_16_9 = e10 % 60.55/9.56 | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | COMBINE_EQS: (771), (3646) imply: % 60.55/9.56 | | | | | | | | | | | | | | | | | (3647) all_12_6 = e10 % 60.55/9.56 | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | REDUCE: (3612), (3647) imply: % 60.55/9.56 | | | | | | | | | | | | | | | | | (3648) $false % 60.55/9.56 | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | CLOSE: (3648) is inconsistent. % 60.55/9.56 | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | Case 2: % 60.55/9.56 | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | (3649) all_16_9 = e13 | all_16_9 = e12 | all_16_9 = e11 % 60.55/9.56 | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | REF_CLOSE: (771), (3223), (3408), (3645), (3649) are % 60.55/9.56 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1. % 60.55/9.56 | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | End of split % 60.55/9.56 | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | Case 2: % 60.55/9.56 | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | (3650) all_20_15 = e10 & ( ~ (all_20_10 = e10) | all_20_9 % 60.55/9.56 | | | | | | | | | | | | | | | | = e13) & ( ~ (all_20_12 = e10) | all_20_11 = % 60.55/9.56 | | | | | | | | | | | | | | | | e12) & ( ~ (all_20_14 = e10) | all_20_13 = e11) % 60.55/9.56 | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | REF_CLOSE: (7), (803), (3650) are inconsistent by sub-proof % 60.55/9.56 | | | | | | | | | | | | | | | | #17. % 60.55/9.56 | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | End of split % 60.55/9.56 | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | End of split % 60.55/9.56 | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | Case 2: % 60.55/9.56 | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | (3651) ~ (all_24_3 = e10) % 60.55/9.56 | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | REDUCE: (648), (3651) imply: % 60.55/9.56 | | | | | | | | | | | | | | (3652) ~ (all_12_5 = e10) % 60.55/9.56 | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | BETA: splitting (310) gives: % 60.55/9.56 | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | Case 1: % 60.55/9.56 | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | (3653) all_24_4 = e10 % 60.55/9.56 | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | REF_CLOSE: (641), (3235), (3653) are inconsistent by % 60.55/9.56 | | | | | | | | | | | | | | | sub-proof #16. % 60.55/9.56 | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | Case 2: % 60.55/9.56 | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | (3654) all_24_5 = e10 | all_24_8 = e10 | all_24_14 = e10 % 60.55/9.56 | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | BETA: splitting (3654) gives: % 60.55/9.56 | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | Case 1: % 60.55/9.56 | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | (3655) all_24_5 = e10 % 60.55/9.56 | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | REF_CLOSE: (651), (3604), (3655) are inconsistent by % 60.55/9.56 | | | | | | | | | | | | | | | | sub-proof #63. % 60.55/9.56 | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | Case 2: % 60.55/9.56 | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | (3656) all_24_8 = e10 | all_24_14 = e10 % 60.55/9.56 | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | BETA: splitting (3603) gives: % 60.55/9.56 | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | Case 1: % 60.55/9.56 | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | (3657) all_16_6 = e12 % 60.55/9.56 | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | REF_CLOSE: (776), (871), (3657) are inconsistent by sub-proof % 60.55/9.56 | | | | | | | | | | | | | | | | | #15. % 60.55/9.56 | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | Case 2: % 60.55/9.56 | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | (3658) all_16_6 = e13 | all_16_6 = e11 % 60.55/9.56 | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | BETA: splitting (3658) gives: % 60.55/9.56 | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | Case 1: % 60.55/9.56 | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | (3659) all_16_6 = e11 % 60.55/9.56 | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (776), (3659) imply: % 60.55/9.56 | | | | | | | | | | | | | | | | | | (3660) all_12_9 = e11 % 60.55/9.56 | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | SIMP: (3660) implies: % 60.55/9.56 | | | | | | | | | | | | | | | | | | (3661) all_12_9 = e11 % 60.55/9.56 | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | REDUCE: (85), (3661) imply: % 60.55/9.56 | | | | | | | | | | | | | | | | | | (3662) ~ (all_12_5 = e11) % 60.55/9.56 | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | REDUCE: (74), (3661) imply: % 60.55/9.56 | | | | | | | | | | | | | | | | | | (3663) ~ (all_12_10 = e11) % 60.55/9.56 | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | SIMP: (3663) implies: % 60.55/9.56 | | | | | | | | | | | | | | | | | | (3664) ~ (all_12_10 = e11) % 60.55/9.56 | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives: % 60.55/9.56 | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | Case 1: % 60.55/9.56 | | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | | (3665) all_16_5 = e10 % 60.55/9.56 | | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (783), (3665) imply: % 60.55/9.56 | | | | | | | | | | | | | | | | | | | (3666) all_12_5 = e10 % 60.55/9.56 | | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | | SIMP: (3666) implies: % 60.55/9.56 | | | | | | | | | | | | | | | | | | | (3667) all_12_5 = e10 % 60.55/9.56 | | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | | REDUCE: (3652), (3667) imply: % 60.55/9.56 | | | | | | | | | | | | | | | | | | | (3668) $false % 60.55/9.56 | | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | | CLOSE: (3668) is inconsistent. % 60.55/9.56 | | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | Case 2: % 60.55/9.56 | | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | | (3669) all_16_5 = e13 | all_16_5 = e12 | all_16_5 = e11 % 60.55/9.56 | | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | | BETA: splitting (3669) gives: % 60.55/9.56 | | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | | Case 1: % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | (3670) all_16_5 = e12 % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (783), (3670) imply: % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | (3671) all_12_5 = e12 % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | SIMP: (3671) implies: % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | (3672) all_12_5 = e12 % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | REDUCE: (92), (3672) imply: % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | (3673) ~ (all_12_4 = e12) % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | REDUCE: (87), (3672) imply: % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | (3674) ~ (all_12_6 = e12) % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives: % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | Case 1: % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | (3675) all_16_1 = e10 % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (769), (3234), (3675) are inconsistent by % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | sub-proof #171. % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | Case 2: % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | (3676) all_16_1 = e13 | all_16_1 = e12 | all_16_1 = e11 % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3676) gives: % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | Case 1: % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | (3677) all_16_1 = e12 % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (769), (3673), (3677) are inconsistent by % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | sub-proof #170. % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | Case 2: % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | (3678) all_16_1 = e13 | all_16_1 = e11 % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3678) gives: % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | | (3679) all_16_1 = e11 % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (769), (3679) imply: % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | | (3680) all_12_4 = e11 % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3680) implies: % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | | (3681) all_12_4 = e11 % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (91), (3681) imply: % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | | (3682) ~ (all_12_6 = e11) % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3682) implies: % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | | (3683) ~ (all_12_6 = e11) % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives: % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | | | (3684) all_16_9 = e10 % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (771), (3684) imply: % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | | | (3685) all_12_6 = e10 % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (82), (3685) imply: % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | | | (3686) ~ (all_12_10 = e10) % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3686) implies: % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | | | (3687) ~ (all_12_10 = e10) % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives: % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | | | | (3688) all_16_10 = e10 % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (787), (3688) imply: % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | | | | (3689) all_12_10 = e10 % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3689) implies: % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | | | | (3690) all_12_10 = e10 % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3687), (3690) imply: % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | | | | (3691) $false % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3691) is inconsistent. % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | | | | (3692) ~ (all_16_10 = e10) % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | | | | (3693) all_16_10 = e13 | all_16_10 = e12 | all_16_10 = % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | | | | e11 % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3693) gives: % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (3694) all_16_10 = e12 % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (787), (3694) imply: % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (3695) all_12_10 = e12 % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3695) implies: % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (3696) all_12_10 = e12 % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (873), (3696) imply: % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (3697) $false % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3697) is inconsistent. % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (3698) all_16_10 = e13 | all_16_10 = e11 % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3698) gives: % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3699) all_16_10 = e11 % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (787), (3699) imply: % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3700) all_12_10 = e11 % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3700) implies: % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3701) all_12_10 = e11 % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3664), (3701) imply: % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3702) $false % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3702) is inconsistent. % 60.55/9.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3703) all_16_10 = e13 % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (787), (3703) imply: % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3704) all_12_10 = e13 % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3704) implies: % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3705) all_12_10 = e13 % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (521), (3705) imply: % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3706) all_24_8 = e13 % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3656) gives: % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3707) all_24_8 = e10 % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3706), (3707) imply: % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3708) e13 = e10 % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3708) implies: % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3709) e13 = e10 % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (3709) imply: % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3710) $false % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3710) is inconsistent. % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3711) all_24_14 = e10 % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (804), (3227), (3711) are inconsistent by % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #6. % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | | | | | (3712) all_16_9 = e13 | all_16_9 = e12 | all_16_9 = e11 % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (771), (3223), (3408), (3683), (3712) are % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1. % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | | | | End of split % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | | | | (3713) all_16_1 = e13 % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (769), (3713) imply: % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | | | | (3714) all_12_4 = e13 % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3714) implies: % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | | | | (3715) all_12_4 = e13 % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3407), (3715) imply: % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | | | | (3716) $false % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3716) is inconsistent. % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | | | End of split % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | | End of split % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | End of split % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | | | | | | | | | | Case 2: % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | (3717) all_16_5 = e13 | all_16_5 = e11 % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | BETA: splitting (3717) gives: % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | Case 1: % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | | (3718) all_16_5 = e11 % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (783), (3718) imply: % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | | (3719) all_12_5 = e11 % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | | REDUCE: (3662), (3719) imply: % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | | (3720) $false % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | | CLOSE: (3720) is inconsistent. % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | Case 2: % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | | (3721) all_16_5 = e13 % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (783), (3721) imply: % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | | (3722) all_12_5 = e13 % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | | REDUCE: (867), (3722) imply: % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | | (3723) $false % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | | CLOSE: (3723) is inconsistent. % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | End of split % 60.55/9.57 | | | | | | | | | | | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | | | | | | | | | | End of split % 60.55/9.57 | | | | | | | | | | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | | | | | | | | | End of split % 60.55/9.57 | | | | | | | | | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | | | | | | | | Case 2: % 60.55/9.57 | | | | | | | | | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | | | | | | | | | (3724) all_16_6 = e13 % 60.55/9.57 | | | | | | | | | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | | | | | | | | | REF_CLOSE: (776), (872), (3724) are inconsistent by sub-proof % 60.55/9.57 | | | | | | | | | | | | | | | | | | #7. % 60.55/9.57 | | | | | | | | | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | | | | | | | | End of split % 60.55/9.57 | | | | | | | | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | | | | | | | End of split % 60.55/9.57 | | | | | | | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | | | | | | End of split % 60.55/9.57 | | | | | | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | | | | | End of split % 60.55/9.57 | | | | | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | | | | End of split % 60.55/9.57 | | | | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | | | End of split % 60.55/9.57 | | | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | | End of split % 60.55/9.57 | | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | Case 2: % 60.55/9.57 | | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | | (3725) all_24_14 = e13 | all_24_15 = e13 % 60.55/9.57 | | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | | REF_CLOSE: (501), (804), (878), (3225), (3725) are % 60.55/9.57 | | | | | | | | | | | inconsistent by sub-proof #49. % 60.55/9.57 | | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | End of split % 60.55/9.57 | | | | | | | | | | % 60.55/9.57 | | | | | | | | | End of split % 60.55/9.57 | | | | | | | | | % 60.55/9.57 | | | | | | | | Case 2: % 60.55/9.57 | | | | | | | | | % 60.55/9.57 | | | | | | | | | (3726) ~ (all_24_12 = e10) % 60.55/9.57 | | | | | | | | | % 60.55/9.57 | | | | | | | | | REDUCE: (806), (3726) imply: % 60.55/9.57 | | | | | | | | | (3727) ~ (all_12_3 = e10) % 60.55/9.57 | | | | | | | | | % 60.55/9.57 | | | | | | | | | BETA: splitting (210) gives: % 60.55/9.57 | | | | | | | | | % 60.55/9.57 | | | | | | | | | Case 1: % 60.55/9.57 | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | (3728) all_16_12 = e10 % 60.55/9.57 | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | COMBINE_EQS: (768), (3728) imply: % 60.55/9.57 | | | | | | | | | | (3729) all_12_3 = e10 % 60.55/9.57 | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | REDUCE: (3727), (3729) imply: % 60.55/9.57 | | | | | | | | | | (3730) $false % 60.55/9.57 | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | CLOSE: (3730) is inconsistent. % 60.55/9.57 | | | | | | | | | | % 60.55/9.57 | | | | | | | | | Case 2: % 60.55/9.57 | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | (3731) all_16_12 = e13 | all_16_12 = e12 | all_16_12 = % 60.55/9.57 | | | | | | | | | | e11 % 60.55/9.57 | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | BETA: splitting (3731) gives: % 60.55/9.57 | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | Case 1: % 60.55/9.57 | | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | | (3732) all_16_12 = e12 % 60.55/9.57 | | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | | COMBINE_EQS: (768), (3732) imply: % 60.55/9.57 | | | | | | | | | | | (3733) all_12_3 = e12 % 60.55/9.57 | | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | | REDUCE: (865), (3733) imply: % 60.55/9.57 | | | | | | | | | | | (3734) $false % 60.55/9.57 | | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | | CLOSE: (3734) is inconsistent. % 60.55/9.57 | | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | Case 2: % 60.55/9.57 | | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | | (3735) all_16_12 = e13 | all_16_12 = e11 % 60.55/9.57 | | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | | BETA: splitting (3735) gives: % 60.55/9.57 | | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | | Case 1: % 60.55/9.57 | | | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | | | (3736) all_16_12 = e11 % 60.55/9.57 | | | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | | | COMBINE_EQS: (768), (3736) imply: % 60.55/9.57 | | | | | | | | | | | | (3737) all_12_3 = e11 % 60.55/9.57 | | | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | | | REDUCE: (866), (3737) imply: % 60.55/9.57 | | | | | | | | | | | | (3738) $false % 60.55/9.57 | | | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | | | CLOSE: (3738) is inconsistent. % 60.55/9.57 | | | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | | Case 2: % 60.55/9.57 | | | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | | | (3739) all_16_12 = e13 % 60.55/9.57 | | | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | | | COMBINE_EQS: (768), (3739) imply: % 60.55/9.57 | | | | | | | | | | | | (3740) all_12_3 = e13 % 60.55/9.57 | | | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | | | REDUCE: (95), (3740) imply: % 60.55/9.57 | | | | | | | | | | | | (3741) ~ (all_12_7 = e13) % 60.55/9.57 | | | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | | | SIMP: (3741) implies: % 60.55/9.57 | | | | | | | | | | | | (3742) ~ (all_12_7 = e13) % 60.55/9.57 | | | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | | | BETA: splitting (3389) gives: % 60.55/9.57 | | | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | | | Case 1: % 60.55/9.57 | | | | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | | | | (3743) all_16_13 = e11 % 60.55/9.57 | | | | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | | | | REF_CLOSE: (773), (869), (3743) are inconsistent by sub-proof % 60.55/9.57 | | | | | | | | | | | | | #45. % 60.55/9.57 | | | | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | | | Case 2: % 60.55/9.57 | | | | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | | | | (3744) all_16_13 = e13 % 60.55/9.57 | | | | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | | | | COMBINE_EQS: (773), (3744) imply: % 60.55/9.57 | | | | | | | | | | | | | (3745) all_12_7 = e13 % 60.55/9.57 | | | | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | | | | SIMP: (3745) implies: % 60.55/9.57 | | | | | | | | | | | | | (3746) all_12_7 = e13 % 60.55/9.57 | | | | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | | | | REDUCE: (3742), (3746) imply: % 60.55/9.57 | | | | | | | | | | | | | (3747) $false % 60.55/9.57 | | | | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | | | | CLOSE: (3747) is inconsistent. % 60.55/9.57 | | | | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | | | End of split % 60.55/9.57 | | | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | | End of split % 60.55/9.57 | | | | | | | | | | | % 60.55/9.57 | | | | | | | | | | End of split % 60.55/9.57 | | | | | | | | | | % 60.55/9.57 | | | | | | | | | End of split % 60.55/9.57 | | | | | | | | | % 60.55/9.57 | | | | | | | | End of split % 60.55/9.57 | | | | | | | | % 60.55/9.57 | | | | | | | End of split % 60.55/9.57 | | | | | | | % 60.55/9.57 | | | | | | End of split % 60.55/9.57 | | | | | | % 60.55/9.57 | | | | | End of split % 60.55/9.57 | | | | | % 60.55/9.57 | | | | End of split % 60.55/9.57 | | | | % 60.55/9.57 | | | Case 2: % 60.55/9.57 | | | | % 60.55/9.57 | | | | (3748) ~ (all_16_3 = e10) % 60.55/9.57 | | | | % 60.55/9.57 | | | | REDUCE: (779), (3748) imply: % 60.55/9.57 | | | | (3749) ~ (all_12_12 = e10) % 60.55/9.57 | | | | % 60.55/9.57 | | | | BETA: splitting (305) gives: % 60.55/9.57 | | | | % 60.55/9.57 | | | | Case 1: % 60.55/9.57 | | | | | % 60.55/9.57 | | | | | (3750) all_24_15 = e10 % 60.55/9.57 | | | | | % 60.55/9.57 | | | | | REF_CLOSE: (7), (501), (3750) are inconsistent by sub-proof #47. % 60.55/9.57 | | | | | % 60.55/9.57 | | | | Case 2: % 60.55/9.57 | | | | | % 60.55/9.57 | | | | | (3751) (all_24_9 = e10 | all_24_10 = e10 | all_24_11 = e10) & % 60.55/9.57 | | | | | (all_24_12 = e10 | all_24_13 = e10 | all_24_14 = e10) % 60.55/9.57 | | | | | % 60.55/9.57 | | | | | ALPHA: (3751) implies: % 60.55/9.57 | | | | | (3752) all_24_9 = e10 | all_24_10 = e10 | all_24_11 = e10 % 60.55/9.57 | | | | | % 60.55/9.57 | | | | | BETA: splitting (3752) gives: % 60.55/9.57 | | | | | % 60.55/9.57 | | | | | Case 1: % 60.55/9.57 | | | | | | % 60.55/9.57 | | | | | | (3753) all_24_9 = e10 % 60.55/9.57 | | | | | | % 60.55/9.57 | | | | | | COMBINE_EQS: (807), (3753) imply: % 60.55/9.57 | | | | | | (3754) all_12_12 = e10 % 60.55/9.57 | | | | | | % 60.55/9.57 | | | | | | SIMP: (3754) implies: % 60.55/9.57 | | | | | | (3755) all_12_12 = e10 % 60.55/9.57 | | | | | | % 60.55/9.57 | | | | | | REDUCE: (3749), (3755) imply: % 60.55/9.57 | | | | | | (3756) $false % 60.55/9.57 | | | | | | % 60.55/9.57 | | | | | | CLOSE: (3756) is inconsistent. % 60.55/9.57 | | | | | | % 60.55/9.57 | | | | | Case 2: % 60.55/9.57 | | | | | | % 60.55/9.57 | | | | | | (3757) all_24_10 = e10 | all_24_11 = e10 % 60.55/9.57 | | | | | | % 60.55/9.57 | | | | | | BETA: splitting (3757) gives: % 60.55/9.57 | | | | | | % 60.55/9.57 | | | | | | Case 1: % 60.55/9.57 | | | | | | | % 60.55/9.57 | | | | | | | (3758) all_24_10 = e10 % 60.55/9.57 | | | | | | | % 60.55/9.57 | | | | | | | REF_CLOSE: (8), (535), (3758) are inconsistent by sub-proof #62. % 60.55/9.57 | | | | | | | % 60.55/9.57 | | | | | | Case 2: % 60.55/9.57 | | | | | | | % 60.55/9.57 | | | | | | | (3759) all_24_11 = e10 % 60.55/9.57 | | | | | | | % 60.55/9.57 | | | | | | | REF_CLOSE: (3221), (3227), (3759) are inconsistent by sub-proof % 60.55/9.57 | | | | | | | #2. % 60.55/9.57 | | | | | | | % 60.55/9.57 | | | | | | End of split % 60.55/9.57 | | | | | | % 60.55/9.57 | | | | | End of split % 60.55/9.57 | | | | | % 60.55/9.57 | | | | End of split % 60.55/9.57 | | | | % 60.55/9.57 | | | End of split % 60.55/9.57 | | | % 60.55/9.57 | | Case 2: % 60.55/9.57 | | | % 60.55/9.57 | | | (3760) all_16_11 = e13 | all_16_11 = e11 % 60.55/9.57 | | | % 60.55/9.57 | | | BETA: splitting (3760) gives: % 60.55/9.57 | | | % 60.55/9.57 | | | Case 1: % 60.55/9.57 | | | | % 60.55/9.57 | | | | (3761) all_16_11 = e11 % 60.55/9.57 | | | | % 60.55/9.57 | | | | COMBINE_EQS: (785), (3761) imply: % 60.55/9.57 | | | | (3762) all_12_14 = e11 % 60.55/9.57 | | | | % 60.55/9.57 | | | | REDUCE: (879), (3762) imply: % 60.55/9.57 | | | | (3763) $false % 60.55/9.57 | | | | % 60.55/9.57 | | | | CLOSE: (3763) is inconsistent. % 60.55/9.57 | | | | % 60.55/9.57 | | | Case 2: % 60.55/9.57 | | | | % 60.55/9.57 | | | | (3764) all_16_11 = e13 % 60.55/9.57 | | | | % 60.55/9.57 | | | | COMBINE_EQS: (785), (3764) imply: % 60.55/9.57 | | | | (3765) all_12_14 = e13 % 60.55/9.57 | | | | % 60.55/9.57 | | | | REDUCE: (877), (3765) imply: % 60.55/9.57 | | | | (3766) $false % 60.55/9.57 | | | | % 60.55/9.57 | | | | CLOSE: (3766) is inconsistent. % 60.55/9.57 | | | | % 60.55/9.57 | | | End of split % 60.55/9.57 | | | % 60.55/9.57 | | End of split % 60.55/9.57 | | % 60.55/9.57 | End of split % 60.55/9.57 | % 60.55/9.57 End of proof % 60.55/9.57 % 60.55/9.57 Sub-proof #1 shows that the following formulas are inconsistent: % 60.55/9.57 ---------------------------------------------------------------- % 60.55/9.57 (1) all_16_9 = all_12_6 % 60.55/9.57 (2) all_16_9 = e13 | all_16_9 = e12 | all_16_9 = e11 % 60.55/9.57 (3) ~ (all_12_6 = e11) % 60.55/9.57 (4) ~ (all_12_6 = e13) % 60.55/9.57 (5) ~ (all_12_6 = e12) % 60.55/9.57 % 60.55/9.57 Begin of proof % 60.55/9.57 | % 60.55/9.57 | BETA: splitting (2) gives: % 60.55/9.57 | % 60.55/9.57 | Case 1: % 60.55/9.57 | | % 60.55/9.57 | | (6) all_16_9 = e12 % 60.55/9.57 | | % 60.55/9.57 | | COMBINE_EQS: (1), (6) imply: % 60.55/9.57 | | (7) all_12_6 = e12 % 60.55/9.57 | | % 60.55/9.57 | | REDUCE: (5), (7) imply: % 60.55/9.57 | | (8) $false % 60.55/9.57 | | % 60.55/9.57 | | CLOSE: (8) is inconsistent. % 60.55/9.57 | | % 60.55/9.57 | Case 2: % 60.55/9.57 | | % 60.55/9.57 | | (9) all_16_9 = e13 | all_16_9 = e11 % 60.55/9.57 | | % 60.55/9.57 | | REF_CLOSE: (1), (3), (4), (9) are inconsistent by sub-proof #8. % 60.55/9.57 | | % 60.55/9.57 | End of split % 60.55/9.57 | % 60.55/9.57 End of proof % 60.55/9.57 % 60.55/9.57 Sub-proof #2 shows that the following formulas are inconsistent: % 60.55/9.57 ---------------------------------------------------------------- % 60.55/9.57 (1) all_24_11 = e12 % 60.55/9.57 (2) all_24_11 = e10 % 60.55/9.57 (3) ~ (e12 = e10) % 60.55/9.57 % 60.55/9.57 Begin of proof % 60.55/9.57 | % 60.55/9.57 | COMBINE_EQS: (1), (2) imply: % 60.55/9.57 | (4) e12 = e10 % 60.55/9.57 | % 60.55/9.57 | SIMP: (4) implies: % 60.55/9.57 | (5) e12 = e10 % 60.55/9.57 | % 60.55/9.57 | REDUCE: (3), (5) imply: % 60.55/9.57 | (6) $false % 60.55/9.57 | % 60.55/9.57 | CLOSE: (6) is inconsistent. % 60.55/9.57 | % 60.55/9.57 End of proof % 60.55/9.57 % 60.55/9.57 Sub-proof #3 shows that the following formulas are inconsistent: % 60.55/9.57 ---------------------------------------------------------------- % 60.55/9.57 (1) e12 = e11 % 60.55/9.57 (2) e12 = e10 % 60.55/9.57 (3) ~ (e11 = e10) % 60.55/9.57 % 60.55/9.57 Begin of proof % 60.55/9.57 | % 60.55/9.57 | SIMP: (1) implies: % 60.55/9.57 | (4) e12 = e11 % 60.55/9.57 | % 60.55/9.57 | COMBINE_EQS: (2), (4) imply: % 60.55/9.57 | (5) e11 = e10 % 60.55/9.57 | % 60.55/9.57 | REDUCE: (3), (5) imply: % 60.55/9.57 | (6) $false % 60.55/9.57 | % 60.55/9.57 | CLOSE: (6) is inconsistent. % 60.55/9.57 | % 60.55/9.57 End of proof % 60.55/9.57 % 60.55/9.57 Sub-proof #4 shows that the following formulas are inconsistent: % 60.55/9.57 ---------------------------------------------------------------- % 60.55/9.57 (1) all_20_10 = e12 % 60.55/9.57 (2) ~ (e13 = e11) % 60.55/9.57 (3) all_20_15 = e11 % 60.55/9.57 (4) all_20_15 = e13 % 60.55/9.57 (5) ~ (all_20_10 = e12) | all_20_3 = e13 % 60.55/9.57 (6) all_20_3 = e13 % 60.55/9.57 % 60.55/9.57 Begin of proof % 60.55/9.58 | % 60.55/9.58 | COMBINE_EQS: (3), (4) imply: % 60.55/9.58 | (7) e13 = e11 % 60.55/9.58 | % 60.55/9.58 | SIMP: (7) implies: % 60.55/9.58 | (8) e13 = e11 % 60.55/9.58 | % 60.55/9.58 | COMBINE_EQS: (6), (8) imply: % 60.55/9.58 | (9) all_20_3 = e11 % 60.55/9.58 | % 60.55/9.58 | REF_CLOSE: (1), (2), (5), (9) are inconsistent by sub-proof #5. % 60.55/9.58 | % 60.55/9.58 End of proof % 60.55/9.58 % 60.55/9.58 Sub-proof #5 shows that the following formulas are inconsistent: % 60.55/9.58 ---------------------------------------------------------------- % 60.55/9.58 (1) ~ (all_20_10 = e12) | all_20_3 = e13 % 60.55/9.58 (2) all_20_10 = e12 % 60.55/9.58 (3) all_20_3 = e11 % 60.55/9.58 (4) ~ (e13 = e11) % 60.55/9.58 % 60.55/9.58 Begin of proof % 60.55/9.58 | % 60.55/9.58 | BETA: splitting (1) gives: % 60.55/9.58 | % 60.55/9.58 | Case 1: % 60.55/9.58 | | % 60.55/9.58 | | (5) ~ (all_20_10 = e12) % 60.55/9.58 | | % 60.55/9.58 | | REDUCE: (2), (5) imply: % 60.55/9.58 | | (6) $false % 60.55/9.58 | | % 60.55/9.58 | | CLOSE: (6) is inconsistent. % 60.55/9.58 | | % 60.55/9.58 | Case 2: % 60.55/9.58 | | % 60.55/9.58 | | (7) all_20_3 = e13 % 60.55/9.58 | | % 60.55/9.58 | | COMBINE_EQS: (3), (7) imply: % 60.55/9.58 | | (8) e13 = e11 % 60.55/9.58 | | % 60.55/9.58 | | REDUCE: (4), (8) imply: % 60.55/9.58 | | (9) $false % 60.55/9.58 | | % 60.55/9.58 | | CLOSE: (9) is inconsistent. % 60.55/9.58 | | % 60.55/9.58 | End of split % 60.55/9.58 | % 60.55/9.58 End of proof % 60.55/9.58 % 60.55/9.58 Sub-proof #6 shows that the following formulas are inconsistent: % 60.55/9.58 ---------------------------------------------------------------- % 60.55/9.58 (1) all_24_14 = e12 % 60.55/9.58 (2) all_24_14 = e10 % 60.55/9.58 (3) ~ (e12 = e10) % 60.55/9.58 % 60.55/9.58 Begin of proof % 60.55/9.58 | % 60.55/9.58 | COMBINE_EQS: (1), (2) imply: % 60.55/9.58 | (4) e12 = e10 % 60.55/9.58 | % 60.55/9.58 | SIMP: (4) implies: % 60.55/9.58 | (5) e12 = e10 % 60.55/9.58 | % 60.55/9.58 | REDUCE: (3), (5) imply: % 60.55/9.58 | (6) $false % 60.55/9.58 | % 60.55/9.58 | CLOSE: (6) is inconsistent. % 60.55/9.58 | % 60.55/9.58 End of proof % 60.55/9.58 % 60.55/9.58 Sub-proof #7 shows that the following formulas are inconsistent: % 60.55/9.58 ---------------------------------------------------------------- % 60.55/9.58 (1) all_16_6 = all_12_9 % 60.55/9.58 (2) all_16_6 = e13 % 60.55/9.58 (3) ~ (all_12_9 = e13) % 60.55/9.58 % 60.55/9.58 Begin of proof % 60.55/9.58 | % 60.55/9.58 | COMBINE_EQS: (1), (2) imply: % 60.55/9.58 | (4) all_12_9 = e13 % 60.55/9.58 | % 60.55/9.58 | SIMP: (4) implies: % 60.55/9.58 | (5) all_12_9 = e13 % 60.55/9.58 | % 60.55/9.58 | REDUCE: (3), (5) imply: % 60.55/9.58 | (6) $false % 60.55/9.58 | % 60.55/9.58 | CLOSE: (6) is inconsistent. % 60.55/9.58 | % 60.55/9.58 End of proof % 60.55/9.58 % 60.55/9.58 Sub-proof #8 shows that the following formulas are inconsistent: % 60.55/9.58 ---------------------------------------------------------------- % 60.55/9.58 (1) all_16_9 = e13 | all_16_9 = e11 % 60.55/9.58 (2) all_16_9 = all_12_6 % 60.55/9.58 (3) ~ (all_12_6 = e11) % 60.55/9.58 (4) ~ (all_12_6 = e13) % 60.55/9.58 % 60.55/9.58 Begin of proof % 60.55/9.58 | % 60.55/9.58 | BETA: splitting (1) gives: % 60.55/9.58 | % 60.55/9.58 | Case 1: % 60.55/9.58 | | % 60.55/9.58 | | (5) all_16_9 = e11 % 60.55/9.58 | | % 60.55/9.58 | | COMBINE_EQS: (2), (5) imply: % 60.55/9.58 | | (6) all_12_6 = e11 % 60.55/9.58 | | % 60.55/9.58 | | REDUCE: (3), (6) imply: % 60.55/9.58 | | (7) $false % 60.55/9.58 | | % 60.55/9.58 | | CLOSE: (7) is inconsistent. % 60.55/9.58 | | % 60.55/9.58 | Case 2: % 60.55/9.58 | | % 60.55/9.58 | | (8) all_16_9 = e13 % 60.55/9.58 | | % 60.55/9.58 | | COMBINE_EQS: (2), (8) imply: % 60.55/9.58 | | (9) all_12_6 = e13 % 60.55/9.58 | | % 60.55/9.58 | | REDUCE: (4), (9) imply: % 60.55/9.58 | | (10) $false % 60.55/9.58 | | % 60.55/9.58 | | CLOSE: (10) is inconsistent. % 60.55/9.58 | | % 60.55/9.58 | End of split % 60.55/9.58 | % 60.55/9.58 End of proof % 60.55/9.58 % 60.55/9.58 Sub-proof #9 shows that the following formulas are inconsistent: % 60.55/9.58 ---------------------------------------------------------------- % 60.55/9.58 (1) all_20_8 = e12 % 60.55/9.58 (2) all_20_8 = e10 % 60.55/9.58 (3) ~ (e12 = e10) % 60.55/9.58 % 60.55/9.58 Begin of proof % 60.55/9.58 | % 60.55/9.58 | COMBINE_EQS: (1), (2) imply: % 60.55/9.58 | (4) e12 = e10 % 60.55/9.58 | % 60.55/9.58 | SIMP: (4) implies: % 60.55/9.58 | (5) e12 = e10 % 60.55/9.58 | % 60.55/9.58 | REDUCE: (3), (5) imply: % 60.55/9.58 | (6) $false % 60.55/9.58 | % 60.55/9.58 | CLOSE: (6) is inconsistent. % 60.55/9.58 | % 60.55/9.58 End of proof % 60.55/9.58 % 60.55/9.58 Sub-proof #10 shows that the following formulas are inconsistent: % 60.55/9.58 ---------------------------------------------------------------- % 60.55/9.58 (1) ~ (e13 = e11) % 60.55/9.58 (2) all_24_15 = e11 % 60.55/9.58 (3) all_24_13 = e13 | all_24_14 = e13 | all_24_15 = e13 % 60.55/9.58 (4) all_20_6 = e13 % 60.55/9.58 (5) all_24_13 = e13 % 60.55/9.58 (6) all_20_6 = e10 % 60.55/9.58 (7) ~ (e13 = e10) % 60.55/9.58 (8) all_24_14 = e12 % 60.55/9.58 (9) ~ (e13 = e12) % 60.55/9.58 % 60.55/9.58 Begin of proof % 60.55/9.58 | % 60.55/9.58 | COMBINE_EQS: (4), (6) imply: % 60.55/9.58 | (10) e13 = e10 % 60.55/9.58 | % 60.55/9.58 | COMBINE_EQS: (5), (10) imply: % 60.55/9.58 | (11) all_24_13 = e10 % 60.55/9.58 | % 60.55/9.58 | REF_CLOSE: (1), (2), (3), (7), (8), (9), (11) are inconsistent by sub-proof % 60.55/9.58 | #48. % 60.55/9.58 | % 60.55/9.58 End of proof % 60.55/9.58 % 60.55/9.58 Sub-proof #11 shows that the following formulas are inconsistent: % 60.55/9.58 ---------------------------------------------------------------- % 60.55/9.58 (1) all_20_15 = e12 % 60.55/9.58 (2) all_20_15 = e11 % 60.55/9.58 (3) ~ (e12 = e11) % 60.55/9.58 % 60.55/9.58 Begin of proof % 60.55/9.58 | % 60.55/9.58 | COMBINE_EQS: (1), (2) imply: % 60.55/9.58 | (4) e12 = e11 % 60.55/9.58 | % 60.55/9.58 | SIMP: (4) implies: % 60.55/9.58 | (5) e12 = e11 % 60.55/9.58 | % 60.55/9.58 | REDUCE: (3), (5) imply: % 60.55/9.58 | (6) $false % 60.55/9.58 | % 60.55/9.58 | CLOSE: (6) is inconsistent. % 60.55/9.58 | % 60.55/9.58 End of proof % 60.55/9.58 % 60.55/9.58 Sub-proof #12 shows that the following formulas are inconsistent: % 60.55/9.58 ---------------------------------------------------------------- % 60.55/9.58 (1) ~ (e13 = e11) % 60.55/9.58 (2) all_24_15 = e11 % 60.55/9.58 (3) all_24_13 = e13 | all_24_14 = e13 | all_24_15 = e13 % 60.55/9.58 (4) all_20_12 = e13 % 60.55/9.58 (5) all_24_13 = e13 % 60.55/9.58 (6) ~ (e13 = e10) % 60.55/9.58 (7) all_24_14 = e12 % 60.55/9.58 (8) all_20_12 = e10 % 60.55/9.58 (9) ~ (e13 = e12) % 60.55/9.58 % 60.55/9.58 Begin of proof % 60.55/9.58 | % 60.55/9.58 | COMBINE_EQS: (4), (8) imply: % 60.55/9.58 | (10) e13 = e10 % 60.55/9.58 | % 60.55/9.58 | COMBINE_EQS: (5), (10) imply: % 60.55/9.58 | (11) all_24_13 = e10 % 60.55/9.58 | % 60.55/9.58 | REF_CLOSE: (1), (2), (3), (6), (7), (9), (11) are inconsistent by sub-proof % 60.55/9.58 | #48. % 60.55/9.58 | % 60.55/9.58 End of proof % 60.55/9.58 % 60.55/9.58 Sub-proof #13 shows that the following formulas are inconsistent: % 60.55/9.58 ---------------------------------------------------------------- % 60.55/9.58 (1) all_20_15 = e13 % 60.55/9.58 (2) all_20_15 = e11 % 60.55/9.58 (3) ~ (e13 = e11) % 60.55/9.58 % 60.55/9.58 Begin of proof % 60.55/9.58 | % 60.55/9.58 | COMBINE_EQS: (1), (2) imply: % 60.55/9.58 | (4) e13 = e11 % 60.55/9.58 | % 60.55/9.58 | SIMP: (4) implies: % 60.55/9.58 | (5) e13 = e11 % 60.55/9.58 | % 60.55/9.58 | REDUCE: (3), (5) imply: % 60.55/9.58 | (6) $false % 60.55/9.58 | % 60.55/9.58 | CLOSE: (6) is inconsistent. % 60.55/9.58 | % 60.55/9.58 End of proof % 60.55/9.58 % 60.55/9.58 Sub-proof #14 shows that the following formulas are inconsistent: % 60.55/9.58 ---------------------------------------------------------------- % 60.55/9.58 (1) all_24_2 = all_12_1 % 60.55/9.58 (2) all_24_2 = e10 % 60.55/9.58 (3) ~ (all_12_1 = e10) % 60.55/9.58 % 60.55/9.58 Begin of proof % 60.55/9.58 | % 60.55/9.58 | COMBINE_EQS: (1), (2) imply: % 60.55/9.58 | (4) all_12_1 = e10 % 60.55/9.58 | % 60.55/9.58 | SIMP: (4) implies: % 60.55/9.58 | (5) all_12_1 = e10 % 60.55/9.58 | % 60.55/9.58 | REDUCE: (3), (5) imply: % 60.55/9.58 | (6) $false % 60.55/9.58 | % 60.55/9.58 | CLOSE: (6) is inconsistent. % 60.55/9.58 | % 60.55/9.58 End of proof % 60.55/9.58 % 60.55/9.58 Sub-proof #15 shows that the following formulas are inconsistent: % 60.55/9.58 ---------------------------------------------------------------- % 60.55/9.58 (1) all_16_6 = all_12_9 % 60.55/9.58 (2) all_16_6 = e12 % 60.55/9.58 (3) ~ (all_12_9 = e12) % 60.55/9.58 % 60.55/9.58 Begin of proof % 60.55/9.58 | % 60.55/9.58 | COMBINE_EQS: (1), (2) imply: % 60.55/9.58 | (4) all_12_9 = e12 % 60.55/9.58 | % 60.55/9.58 | SIMP: (4) implies: % 60.55/9.58 | (5) all_12_9 = e12 % 60.55/9.58 | % 60.55/9.58 | REDUCE: (3), (5) imply: % 60.55/9.58 | (6) $false % 60.55/9.58 | % 60.55/9.58 | CLOSE: (6) is inconsistent. % 60.55/9.58 | % 60.55/9.58 End of proof % 60.55/9.58 % 60.55/9.58 Sub-proof #16 shows that the following formulas are inconsistent: % 60.55/9.58 ---------------------------------------------------------------- % 60.55/9.58 (1) all_24_4 = all_12_8 % 60.55/9.58 (2) all_24_4 = e10 % 60.55/9.58 (3) ~ (all_12_8 = e10) % 60.55/9.58 % 60.55/9.58 Begin of proof % 60.55/9.58 | % 60.55/9.58 | COMBINE_EQS: (1), (2) imply: % 60.55/9.58 | (4) all_12_8 = e10 % 60.55/9.58 | % 60.55/9.58 | SIMP: (4) implies: % 60.55/9.58 | (5) all_12_8 = e10 % 60.55/9.58 | % 60.55/9.58 | REDUCE: (3), (5) imply: % 60.55/9.58 | (6) $false % 60.55/9.58 | % 60.55/9.58 | CLOSE: (6) is inconsistent. % 60.55/9.58 | % 60.55/9.58 End of proof % 60.55/9.58 % 60.55/9.58 Sub-proof #17 shows that the following formulas are inconsistent: % 60.55/9.58 ---------------------------------------------------------------- % 60.55/9.58 (1) all_20_15 = e10 & ( ~ (all_20_10 = e10) | all_20_9 = e13) & ( ~ % 60.55/9.58 (all_20_12 = e10) | all_20_11 = e12) & ( ~ (all_20_14 = e10) | % 60.55/9.58 all_20_13 = e11) % 60.55/9.58 (2) all_20_15 = e11 % 60.55/9.58 (3) ~ (e11 = e10) % 60.55/9.58 % 60.55/9.58 Begin of proof % 60.55/9.58 | % 60.55/9.58 | ALPHA: (1) implies: % 60.55/9.58 | (4) all_20_15 = e10 % 60.55/9.58 | % 60.55/9.58 | COMBINE_EQS: (2), (4) imply: % 60.55/9.58 | (5) e11 = e10 % 60.55/9.58 | % 60.55/9.58 | REDUCE: (3), (5) imply: % 60.55/9.58 | (6) $false % 60.55/9.58 | % 60.55/9.58 | CLOSE: (6) is inconsistent. % 60.55/9.58 | % 60.55/9.58 End of proof % 60.55/9.58 % 60.55/9.58 Sub-proof #18 shows that the following formulas are inconsistent: % 60.55/9.58 ---------------------------------------------------------------- % 60.55/9.58 (1) ~ (e13 = e11) % 60.55/9.58 (2) all_20_13 = e11 % 60.55/9.58 (3) ~ (e11 = e10) % 60.55/9.58 (4) all_24_7 = e11 % 60.55/9.58 (5) all_20_13 = e10 % 60.55/9.58 (6) all_24_13 = e13 % 60.55/9.58 (7) all_24_7 = e11 | all_24_13 = e11 % 60.55/9.58 % 60.55/9.58 Begin of proof % 60.55/9.58 | % 60.55/9.58 | COMBINE_EQS: (2), (5) imply: % 60.55/9.58 | (8) e11 = e10 % 60.55/9.58 | % 60.55/9.58 | SIMP: (8) implies: % 60.55/9.58 | (9) e11 = e10 % 60.55/9.58 | % 60.55/9.58 | COMBINE_EQS: (4), (9) imply: % 60.55/9.58 | (10) all_24_7 = e10 % 60.55/9.58 | % 60.55/9.58 | REF_CLOSE: (1), (3), (6), (7), (10) are inconsistent by sub-proof #19. % 60.55/9.58 | % 60.55/9.58 End of proof % 60.55/9.58 % 60.55/9.58 Sub-proof #19 shows that the following formulas are inconsistent: % 60.55/9.58 ---------------------------------------------------------------- % 60.55/9.58 (1) ~ (e13 = e11) % 60.55/9.58 (2) ~ (e11 = e10) % 60.55/9.58 (3) all_24_13 = e13 % 60.55/9.58 (4) all_24_7 = e11 | all_24_13 = e11 % 60.55/9.58 (5) all_24_7 = e10 % 60.55/9.58 % 60.55/9.58 Begin of proof % 60.55/9.58 | % 60.55/9.58 | BETA: splitting (4) gives: % 60.55/9.58 | % 60.55/9.58 | Case 1: % 60.55/9.58 | | % 60.55/9.58 | | (6) all_24_7 = e11 % 60.55/9.58 | | % 60.55/9.58 | | COMBINE_EQS: (5), (6) imply: % 60.55/9.58 | | (7) e11 = e10 % 60.55/9.58 | | % 60.55/9.58 | | REDUCE: (2), (7) imply: % 60.55/9.58 | | (8) $false % 60.55/9.58 | | % 60.55/9.58 | | CLOSE: (8) is inconsistent. % 60.55/9.58 | | % 60.55/9.58 | Case 2: % 60.55/9.58 | | % 60.55/9.58 | | (9) all_24_13 = e11 % 60.55/9.58 | | % 60.55/9.58 | | REF_CLOSE: (1), (3), (9) are inconsistent by sub-proof #29. % 60.55/9.58 | | % 60.55/9.58 | End of split % 60.55/9.58 | % 60.55/9.58 End of proof % 60.55/9.58 % 60.55/9.58 Sub-proof #20 shows that the following formulas are inconsistent: % 60.55/9.58 ---------------------------------------------------------------- % 60.55/9.58 (1) all_28_142 = e20 % 60.55/9.58 (2) all_28_127 = e20 % 60.55/9.58 (3) all_28_118 = e22 % 60.55/9.58 (4) all_28_132 = e22 % 60.55/9.58 (5) all_28_117 = e22 % 60.55/9.58 (6) ~ (all_28_111 = all_28_112) | ~ (all_28_114 = all_28_115) | ~ % 60.55/9.58 (all_28_117 = all_28_118) | ~ (all_28_120 = all_28_121) | ~ (all_28_123 % 60.55/9.58 = all_28_124) | ~ (all_28_126 = all_28_127) | ~ (all_28_129 = % 60.55/9.58 all_28_130) | ~ (all_28_132 = all_28_133) | ~ (all_28_135 = % 60.55/9.58 all_28_136) | ~ (all_28_138 = all_28_139) | ~ (all_28_141 = % 60.55/9.58 all_28_142) | ~ (all_28_144 = all_28_146) | ~ (all_28_148 = % 60.55/9.58 all_28_150) | ~ (all_28_152 = all_28_154) | ~ (all_28_156 = % 60.55/9.58 all_28_158) | ( ~ (all_28_145 = e23) & ~ (all_28_149 = e23) & ~ % 60.55/9.58 (all_28_153 = e23) & ~ (all_28_157 = e23)) | ( ~ (all_28_145 = e22) & % 60.55/9.58 ~ (all_28_149 = e22) & ~ (all_28_153 = e22) & ~ (all_28_157 = e22)) | % 60.55/9.58 ( ~ (all_28_145 = e21) & ~ (all_28_149 = e21) & ~ (all_28_153 = e21) & % 60.55/9.58 ~ (all_28_157 = e21)) | ( ~ (all_28_145 = e20) & ~ (all_28_149 = e20) % 60.55/9.58 & ~ (all_28_153 = e20) & ~ (all_28_157 = e20)) % 60.55/9.58 (7) all_28_124 = e22 % 60.55/9.58 (8) all_28_149 = e22 % 60.55/9.58 (9) all_28_121 = e21 % 60.55/9.58 (10) all_28_158 = e21 % 60.55/9.58 (11) all_28_154 = e22 % 60.55/9.58 (12) all_28_129 = e23 % 60.55/9.58 (13) all_28_138 = e23 % 60.55/9.58 (14) all_28_136 = e21 % 60.55/9.58 (15) all_28_123 = e22 % 60.55/9.58 (16) all_28_114 = e21 % 60.55/9.58 (17) all_28_152 = e22 % 60.55/9.58 (18) all_28_153 = e21 % 60.55/9.58 (19) all_28_146 = e20 % 60.55/9.58 (20) all_28_144 = e20 % 60.55/9.58 (21) all_28_157 = e20 % 60.55/9.58 (22) all_28_133 = e22 % 60.55/9.58 (23) all_28_141 = e20 % 60.55/9.58 (24) all_28_130 = e23 % 60.55/9.58 (25) all_28_115 = e21 % 60.55/9.58 (26) all_28_145 = e23 % 60.55/9.58 (27) all_28_126 = e20 % 60.55/9.58 (28) all_28_135 = e21 % 60.55/9.58 (29) all_28_120 = e21 % 60.55/9.58 (30) all_28_111 = e20 % 60.55/9.58 (31) all_28_112 = e20 % 60.55/9.58 (32) all_28_148 = e23 % 60.55/9.58 (33) all_28_150 = e23 % 60.55/9.58 (34) all_28_139 = e23 % 60.55/9.58 (35) all_28_156 = e21 % 60.55/9.58 % 60.55/9.58 Begin of proof % 60.55/9.58 | % 60.55/9.58 | BETA: splitting (6) gives: % 60.55/9.58 | % 60.55/9.58 | Case 1: % 60.55/9.58 | | % 60.55/9.58 | | (36) ~ (all_28_111 = all_28_112) % 60.55/9.58 | | % 60.55/9.58 | | REDUCE: (30), (31), (36) imply: % 60.55/9.58 | | (37) $false % 60.55/9.58 | | % 60.55/9.58 | | CLOSE: (37) is inconsistent. % 60.55/9.58 | | % 60.55/9.58 | Case 2: % 60.55/9.58 | | % 60.55/9.58 | | (38) ~ (all_28_114 = all_28_115) | ~ (all_28_117 = all_28_118) | ~ % 60.55/9.58 | | (all_28_120 = all_28_121) | ~ (all_28_123 = all_28_124) | ~ % 60.55/9.58 | | (all_28_126 = all_28_127) | ~ (all_28_129 = all_28_130) | ~ % 60.55/9.58 | | (all_28_132 = all_28_133) | ~ (all_28_135 = all_28_136) | ~ % 60.55/9.58 | | (all_28_138 = all_28_139) | ~ (all_28_141 = all_28_142) | ~ % 60.55/9.58 | | (all_28_144 = all_28_146) | ~ (all_28_148 = all_28_150) | ~ % 60.55/9.58 | | (all_28_152 = all_28_154) | ~ (all_28_156 = all_28_158) | ( ~ % 60.55/9.58 | | (all_28_145 = e23) & ~ (all_28_149 = e23) & ~ (all_28_153 = e23) % 60.55/9.58 | | & ~ (all_28_157 = e23)) | ( ~ (all_28_145 = e22) & ~ (all_28_149 % 60.55/9.58 | | = e22) & ~ (all_28_153 = e22) & ~ (all_28_157 = e22)) | ( ~ % 60.55/9.58 | | (all_28_145 = e21) & ~ (all_28_149 = e21) & ~ (all_28_153 = e21) % 60.55/9.58 | | & ~ (all_28_157 = e21)) | ( ~ (all_28_145 = e20) & ~ (all_28_149 % 60.55/9.58 | | = e20) & ~ (all_28_153 = e20) & ~ (all_28_157 = e20)) % 60.55/9.58 | | % 60.55/9.58 | | BETA: splitting (38) gives: % 60.55/9.58 | | % 60.55/9.58 | | Case 1: % 60.55/9.58 | | | % 60.55/9.58 | | | (39) ~ (all_28_114 = all_28_115) % 60.55/9.58 | | | % 60.55/9.58 | | | REDUCE: (16), (25), (39) imply: % 60.55/9.58 | | | (40) $false % 60.55/9.58 | | | % 60.55/9.58 | | | CLOSE: (40) is inconsistent. % 60.55/9.58 | | | % 60.55/9.58 | | Case 2: % 60.55/9.58 | | | % 60.55/9.58 | | | (41) ~ (all_28_117 = all_28_118) | ~ (all_28_120 = all_28_121) | ~ % 60.55/9.58 | | | (all_28_123 = all_28_124) | ~ (all_28_126 = all_28_127) | ~ % 60.55/9.58 | | | (all_28_129 = all_28_130) | ~ (all_28_132 = all_28_133) | ~ % 60.55/9.58 | | | (all_28_135 = all_28_136) | ~ (all_28_138 = all_28_139) | ~ % 60.55/9.58 | | | (all_28_141 = all_28_142) | ~ (all_28_144 = all_28_146) | ~ % 60.55/9.58 | | | (all_28_148 = all_28_150) | ~ (all_28_152 = all_28_154) | ~ % 60.55/9.58 | | | (all_28_156 = all_28_158) | ( ~ (all_28_145 = e23) & ~ % 60.55/9.58 | | | (all_28_149 = e23) & ~ (all_28_153 = e23) & ~ (all_28_157 = % 60.55/9.58 | | | e23)) | ( ~ (all_28_145 = e22) & ~ (all_28_149 = e22) & ~ % 60.55/9.58 | | | (all_28_153 = e22) & ~ (all_28_157 = e22)) | ( ~ (all_28_145 = % 60.55/9.58 | | | e21) & ~ (all_28_149 = e21) & ~ (all_28_153 = e21) & ~ % 60.55/9.58 | | | (all_28_157 = e21)) | ( ~ (all_28_145 = e20) & ~ (all_28_149 = % 60.55/9.58 | | | e20) & ~ (all_28_153 = e20) & ~ (all_28_157 = e20)) % 60.55/9.58 | | | % 60.55/9.58 | | | BETA: splitting (41) gives: % 60.55/9.58 | | | % 60.55/9.58 | | | Case 1: % 60.55/9.58 | | | | % 60.55/9.58 | | | | (42) ~ (all_28_117 = all_28_118) % 60.55/9.58 | | | | % 60.55/9.58 | | | | REDUCE: (3), (5), (42) imply: % 60.55/9.58 | | | | (43) $false % 60.55/9.58 | | | | % 60.55/9.58 | | | | CLOSE: (43) is inconsistent. % 60.55/9.58 | | | | % 60.55/9.58 | | | Case 2: % 60.55/9.58 | | | | % 60.55/9.58 | | | | (44) ~ (all_28_120 = all_28_121) | ~ (all_28_123 = all_28_124) | ~ % 60.55/9.58 | | | | (all_28_126 = all_28_127) | ~ (all_28_129 = all_28_130) | ~ % 60.55/9.58 | | | | (all_28_132 = all_28_133) | ~ (all_28_135 = all_28_136) | ~ % 60.55/9.58 | | | | (all_28_138 = all_28_139) | ~ (all_28_141 = all_28_142) | ~ % 60.55/9.58 | | | | (all_28_144 = all_28_146) | ~ (all_28_148 = all_28_150) | ~ % 60.55/9.58 | | | | (all_28_152 = all_28_154) | ~ (all_28_156 = all_28_158) | ( ~ % 60.55/9.58 | | | | (all_28_145 = e23) & ~ (all_28_149 = e23) & ~ (all_28_153 = % 60.55/9.58 | | | | e23) & ~ (all_28_157 = e23)) | ( ~ (all_28_145 = e22) & ~ % 60.55/9.58 | | | | (all_28_149 = e22) & ~ (all_28_153 = e22) & ~ (all_28_157 = % 60.55/9.58 | | | | e22)) | ( ~ (all_28_145 = e21) & ~ (all_28_149 = e21) & ~ % 60.55/9.58 | | | | (all_28_153 = e21) & ~ (all_28_157 = e21)) | ( ~ (all_28_145 % 60.55/9.58 | | | | = e20) & ~ (all_28_149 = e20) & ~ (all_28_153 = e20) & ~ % 60.55/9.58 | | | | (all_28_157 = e20)) % 60.55/9.58 | | | | % 60.55/9.58 | | | | BETA: splitting (44) gives: % 60.55/9.58 | | | | % 60.55/9.58 | | | | Case 1: % 60.55/9.58 | | | | | % 60.55/9.58 | | | | | (45) ~ (all_28_120 = all_28_121) % 60.55/9.58 | | | | | % 60.55/9.58 | | | | | REDUCE: (9), (29), (45) imply: % 60.55/9.58 | | | | | (46) $false % 60.55/9.58 | | | | | % 60.55/9.58 | | | | | CLOSE: (46) is inconsistent. % 60.55/9.58 | | | | | % 60.55/9.58 | | | | Case 2: % 60.55/9.58 | | | | | % 60.55/9.59 | | | | | (47) ~ (all_28_123 = all_28_124) | ~ (all_28_126 = all_28_127) | % 60.55/9.59 | | | | | ~ (all_28_129 = all_28_130) | ~ (all_28_132 = all_28_133) | % 60.55/9.59 | | | | | ~ (all_28_135 = all_28_136) | ~ (all_28_138 = all_28_139) | % 60.55/9.59 | | | | | ~ (all_28_141 = all_28_142) | ~ (all_28_144 = all_28_146) | % 60.55/9.59 | | | | | ~ (all_28_148 = all_28_150) | ~ (all_28_152 = all_28_154) | % 60.55/9.59 | | | | | ~ (all_28_156 = all_28_158) | ( ~ (all_28_145 = e23) & ~ % 60.55/9.59 | | | | | (all_28_149 = e23) & ~ (all_28_153 = e23) & ~ (all_28_157 % 60.55/9.59 | | | | | = e23)) | ( ~ (all_28_145 = e22) & ~ (all_28_149 = e22) & % 60.55/9.59 | | | | | ~ (all_28_153 = e22) & ~ (all_28_157 = e22)) | ( ~ % 60.55/9.59 | | | | | (all_28_145 = e21) & ~ (all_28_149 = e21) & ~ (all_28_153 % 60.55/9.59 | | | | | = e21) & ~ (all_28_157 = e21)) | ( ~ (all_28_145 = e20) & % 60.55/9.59 | | | | | ~ (all_28_149 = e20) & ~ (all_28_153 = e20) & ~ % 60.55/9.59 | | | | | (all_28_157 = e20)) % 60.55/9.59 | | | | | % 60.55/9.59 | | | | | BETA: splitting (47) gives: % 60.55/9.59 | | | | | % 60.55/9.59 | | | | | Case 1: % 60.55/9.59 | | | | | | % 60.55/9.59 | | | | | | (48) ~ (all_28_123 = all_28_124) % 60.55/9.59 | | | | | | % 60.55/9.59 | | | | | | REDUCE: (7), (15), (48) imply: % 60.55/9.59 | | | | | | (49) $false % 60.55/9.59 | | | | | | % 60.55/9.59 | | | | | | CLOSE: (49) is inconsistent. % 60.55/9.59 | | | | | | % 60.55/9.59 | | | | | Case 2: % 60.55/9.59 | | | | | | % 60.55/9.59 | | | | | | (50) ~ (all_28_126 = all_28_127) | ~ (all_28_129 = all_28_130) % 60.55/9.59 | | | | | | | ~ (all_28_132 = all_28_133) | ~ (all_28_135 = % 60.55/9.59 | | | | | | all_28_136) | ~ (all_28_138 = all_28_139) | ~ % 60.55/9.59 | | | | | | (all_28_141 = all_28_142) | ~ (all_28_144 = all_28_146) | % 60.55/9.59 | | | | | | ~ (all_28_148 = all_28_150) | ~ (all_28_152 = all_28_154) | % 60.55/9.59 | | | | | | ~ (all_28_156 = all_28_158) | ( ~ (all_28_145 = e23) & ~ % 60.55/9.59 | | | | | | (all_28_149 = e23) & ~ (all_28_153 = e23) & ~ % 60.55/9.59 | | | | | | (all_28_157 = e23)) | ( ~ (all_28_145 = e22) & ~ % 60.55/9.59 | | | | | | (all_28_149 = e22) & ~ (all_28_153 = e22) & ~ % 60.55/9.59 | | | | | | (all_28_157 = e22)) | ( ~ (all_28_145 = e21) & ~ % 60.55/9.59 | | | | | | (all_28_149 = e21) & ~ (all_28_153 = e21) & ~ % 60.55/9.59 | | | | | | (all_28_157 = e21)) | ( ~ (all_28_145 = e20) & ~ % 60.55/9.59 | | | | | | (all_28_149 = e20) & ~ (all_28_153 = e20) & ~ % 60.55/9.59 | | | | | | (all_28_157 = e20)) % 60.55/9.59 | | | | | | % 60.55/9.59 | | | | | | BETA: splitting (50) gives: % 60.55/9.59 | | | | | | % 60.55/9.59 | | | | | | Case 1: % 60.55/9.59 | | | | | | | % 60.55/9.59 | | | | | | | (51) ~ (all_28_126 = all_28_127) % 60.55/9.59 | | | | | | | % 60.55/9.59 | | | | | | | REDUCE: (2), (27), (51) imply: % 60.55/9.59 | | | | | | | (52) $false % 60.55/9.59 | | | | | | | % 60.55/9.59 | | | | | | | CLOSE: (52) is inconsistent. % 60.55/9.59 | | | | | | | % 60.55/9.59 | | | | | | Case 2: % 60.55/9.59 | | | | | | | % 60.55/9.59 | | | | | | | (53) ~ (all_28_129 = all_28_130) | ~ (all_28_132 = % 60.55/9.59 | | | | | | | all_28_133) | ~ (all_28_135 = all_28_136) | ~ % 60.55/9.59 | | | | | | | (all_28_138 = all_28_139) | ~ (all_28_141 = all_28_142) | % 60.55/9.59 | | | | | | | ~ (all_28_144 = all_28_146) | ~ (all_28_148 = % 60.55/9.59 | | | | | | | all_28_150) | ~ (all_28_152 = all_28_154) | ~ % 60.55/9.59 | | | | | | | (all_28_156 = all_28_158) | ( ~ (all_28_145 = e23) & ~ % 60.55/9.59 | | | | | | | (all_28_149 = e23) & ~ (all_28_153 = e23) & ~ % 60.55/9.59 | | | | | | | (all_28_157 = e23)) | ( ~ (all_28_145 = e22) & ~ % 60.55/9.59 | | | | | | | (all_28_149 = e22) & ~ (all_28_153 = e22) & ~ % 60.55/9.59 | | | | | | | (all_28_157 = e22)) | ( ~ (all_28_145 = e21) & ~ % 60.55/9.59 | | | | | | | (all_28_149 = e21) & ~ (all_28_153 = e21) & ~ % 60.55/9.59 | | | | | | | (all_28_157 = e21)) | ( ~ (all_28_145 = e20) & ~ % 60.55/9.59 | | | | | | | (all_28_149 = e20) & ~ (all_28_153 = e20) & ~ % 60.55/9.59 | | | | | | | (all_28_157 = e20)) % 60.55/9.59 | | | | | | | % 60.55/9.59 | | | | | | | BETA: splitting (53) gives: % 60.55/9.59 | | | | | | | % 60.55/9.59 | | | | | | | Case 1: % 60.55/9.59 | | | | | | | | % 60.55/9.59 | | | | | | | | (54) ~ (all_28_129 = all_28_130) % 60.55/9.59 | | | | | | | | % 60.55/9.59 | | | | | | | | REDUCE: (12), (24), (54) imply: % 60.55/9.59 | | | | | | | | (55) $false % 60.55/9.59 | | | | | | | | % 60.55/9.59 | | | | | | | | CLOSE: (55) is inconsistent. % 60.55/9.59 | | | | | | | | % 60.55/9.59 | | | | | | | Case 2: % 60.55/9.59 | | | | | | | | % 60.55/9.59 | | | | | | | | (56) ~ (all_28_132 = all_28_133) | ~ (all_28_135 = % 60.55/9.59 | | | | | | | | all_28_136) | ~ (all_28_138 = all_28_139) | ~ % 60.55/9.59 | | | | | | | | (all_28_141 = all_28_142) | ~ (all_28_144 = all_28_146) % 60.55/9.59 | | | | | | | | | ~ (all_28_148 = all_28_150) | ~ (all_28_152 = % 60.55/9.59 | | | | | | | | all_28_154) | ~ (all_28_156 = all_28_158) | ( ~ % 60.55/9.59 | | | | | | | | (all_28_145 = e23) & ~ (all_28_149 = e23) & ~ % 60.55/9.59 | | | | | | | | (all_28_153 = e23) & ~ (all_28_157 = e23)) | ( ~ % 60.55/9.59 | | | | | | | | (all_28_145 = e22) & ~ (all_28_149 = e22) & ~ % 60.55/9.59 | | | | | | | | (all_28_153 = e22) & ~ (all_28_157 = e22)) | ( ~ % 60.55/9.59 | | | | | | | | (all_28_145 = e21) & ~ (all_28_149 = e21) & ~ % 60.55/9.59 | | | | | | | | (all_28_153 = e21) & ~ (all_28_157 = e21)) | ( ~ % 60.55/9.59 | | | | | | | | (all_28_145 = e20) & ~ (all_28_149 = e20) & ~ % 60.55/9.59 | | | | | | | | (all_28_153 = e20) & ~ (all_28_157 = e20)) % 60.55/9.59 | | | | | | | | % 60.55/9.59 | | | | | | | | BETA: splitting (56) gives: % 60.55/9.59 | | | | | | | | % 60.55/9.59 | | | | | | | | Case 1: % 60.55/9.59 | | | | | | | | | % 60.55/9.59 | | | | | | | | | (57) ~ (all_28_132 = all_28_133) % 60.55/9.59 | | | | | | | | | % 60.55/9.59 | | | | | | | | | REDUCE: (4), (22), (57) imply: % 60.55/9.59 | | | | | | | | | (58) $false % 60.55/9.59 | | | | | | | | | % 60.55/9.59 | | | | | | | | | CLOSE: (58) is inconsistent. % 60.55/9.59 | | | | | | | | | % 60.55/9.59 | | | | | | | | Case 2: % 60.55/9.59 | | | | | | | | | % 60.55/9.59 | | | | | | | | | (59) ~ (all_28_135 = all_28_136) | ~ (all_28_138 = % 60.55/9.59 | | | | | | | | | all_28_139) | ~ (all_28_141 = all_28_142) | ~ % 60.55/9.59 | | | | | | | | | (all_28_144 = all_28_146) | ~ (all_28_148 = % 60.55/9.59 | | | | | | | | | all_28_150) | ~ (all_28_152 = all_28_154) | ~ % 60.55/9.59 | | | | | | | | | (all_28_156 = all_28_158) | ( ~ (all_28_145 = e23) & % 60.55/9.59 | | | | | | | | | ~ (all_28_149 = e23) & ~ (all_28_153 = e23) & ~ % 60.55/9.59 | | | | | | | | | (all_28_157 = e23)) | ( ~ (all_28_145 = e22) & ~ % 60.55/9.59 | | | | | | | | | (all_28_149 = e22) & ~ (all_28_153 = e22) & ~ % 60.55/9.59 | | | | | | | | | (all_28_157 = e22)) | ( ~ (all_28_145 = e21) & ~ % 60.55/9.59 | | | | | | | | | (all_28_149 = e21) & ~ (all_28_153 = e21) & ~ % 60.55/9.59 | | | | | | | | | (all_28_157 = e21)) | ( ~ (all_28_145 = e20) & ~ % 60.55/9.59 | | | | | | | | | (all_28_149 = e20) & ~ (all_28_153 = e20) & ~ % 60.55/9.59 | | | | | | | | | (all_28_157 = e20)) % 60.55/9.59 | | | | | | | | | % 60.55/9.59 | | | | | | | | | BETA: splitting (59) gives: % 60.55/9.59 | | | | | | | | | % 60.55/9.59 | | | | | | | | | Case 1: % 60.55/9.59 | | | | | | | | | | % 60.55/9.59 | | | | | | | | | | (60) ~ (all_28_135 = all_28_136) % 60.55/9.59 | | | | | | | | | | % 60.55/9.59 | | | | | | | | | | REDUCE: (14), (28), (60) imply: % 60.55/9.59 | | | | | | | | | | (61) $false % 60.55/9.59 | | | | | | | | | | % 60.55/9.59 | | | | | | | | | | CLOSE: (61) is inconsistent. % 60.55/9.59 | | | | | | | | | | % 60.55/9.59 | | | | | | | | | Case 2: % 60.55/9.59 | | | | | | | | | | % 60.55/9.59 | | | | | | | | | | (62) ~ (all_28_138 = all_28_139) | ~ (all_28_141 = % 60.55/9.59 | | | | | | | | | | all_28_142) | ~ (all_28_144 = all_28_146) | ~ % 60.55/9.59 | | | | | | | | | | (all_28_148 = all_28_150) | ~ (all_28_152 = % 60.55/9.59 | | | | | | | | | | all_28_154) | ~ (all_28_156 = all_28_158) | ( ~ % 60.55/9.59 | | | | | | | | | | (all_28_145 = e23) & ~ (all_28_149 = e23) & ~ % 60.55/9.59 | | | | | | | | | | (all_28_153 = e23) & ~ (all_28_157 = e23)) | ( ~ % 60.55/9.59 | | | | | | | | | | (all_28_145 = e22) & ~ (all_28_149 = e22) & ~ % 60.55/9.59 | | | | | | | | | | (all_28_153 = e22) & ~ (all_28_157 = e22)) | ( ~ % 60.55/9.59 | | | | | | | | | | (all_28_145 = e21) & ~ (all_28_149 = e21) & ~ % 60.55/9.59 | | | | | | | | | | (all_28_153 = e21) & ~ (all_28_157 = e21)) | ( ~ % 60.55/9.59 | | | | | | | | | | (all_28_145 = e20) & ~ (all_28_149 = e20) & ~ % 60.55/9.59 | | | | | | | | | | (all_28_153 = e20) & ~ (all_28_157 = e20)) % 60.55/9.59 | | | | | | | | | | % 60.55/9.59 | | | | | | | | | | BETA: splitting (62) gives: % 60.55/9.59 | | | | | | | | | | % 60.55/9.59 | | | | | | | | | | Case 1: % 60.55/9.59 | | | | | | | | | | | % 60.55/9.59 | | | | | | | | | | | (63) ~ (all_28_138 = all_28_139) % 60.55/9.59 | | | | | | | | | | | % 60.55/9.59 | | | | | | | | | | | REDUCE: (13), (34), (63) imply: % 60.55/9.59 | | | | | | | | | | | (64) $false % 60.55/9.59 | | | | | | | | | | | % 60.55/9.59 | | | | | | | | | | | CLOSE: (64) is inconsistent. % 60.55/9.59 | | | | | | | | | | | % 60.55/9.59 | | | | | | | | | | Case 2: % 60.55/9.59 | | | | | | | | | | | % 60.55/9.59 | | | | | | | | | | | (65) ~ (all_28_141 = all_28_142) | ~ (all_28_144 = % 60.55/9.59 | | | | | | | | | | | all_28_146) | ~ (all_28_148 = all_28_150) | ~ % 60.55/9.59 | | | | | | | | | | | (all_28_152 = all_28_154) | ~ (all_28_156 = % 60.55/9.59 | | | | | | | | | | | all_28_158) | ( ~ (all_28_145 = e23) & ~ % 60.55/9.59 | | | | | | | | | | | (all_28_149 = e23) & ~ (all_28_153 = e23) & ~ % 60.55/9.59 | | | | | | | | | | | (all_28_157 = e23)) | ( ~ (all_28_145 = e22) & % 60.55/9.59 | | | | | | | | | | | ~ (all_28_149 = e22) & ~ (all_28_153 = e22) & % 60.55/9.59 | | | | | | | | | | | ~ (all_28_157 = e22)) | ( ~ (all_28_145 = e21) & % 60.55/9.59 | | | | | | | | | | | ~ (all_28_149 = e21) & ~ (all_28_153 = e21) & % 60.55/9.59 | | | | | | | | | | | ~ (all_28_157 = e21)) | ( ~ (all_28_145 = e20) & % 60.55/9.59 | | | | | | | | | | | ~ (all_28_149 = e20) & ~ (all_28_153 = e20) & % 60.55/9.59 | | | | | | | | | | | ~ (all_28_157 = e20)) % 60.55/9.59 | | | | | | | | | | | % 60.55/9.59 | | | | | | | | | | | BETA: splitting (65) gives: % 60.55/9.59 | | | | | | | | | | | % 60.55/9.59 | | | | | | | | | | | Case 1: % 60.55/9.59 | | | | | | | | | | | | % 60.55/9.59 | | | | | | | | | | | | (66) ~ (all_28_141 = all_28_142) % 60.55/9.59 | | | | | | | | | | | | % 60.55/9.59 | | | | | | | | | | | | REDUCE: (1), (23), (66) imply: % 60.55/9.59 | | | | | | | | | | | | (67) $false % 60.55/9.59 | | | | | | | | | | | | % 60.55/9.59 | | | | | | | | | | | | CLOSE: (67) is inconsistent. % 60.55/9.59 | | | | | | | | | | | | % 60.55/9.59 | | | | | | | | | | | Case 2: % 60.55/9.59 | | | | | | | | | | | | % 60.55/9.59 | | | | | | | | | | | | (68) ~ (all_28_144 = all_28_146) | ~ (all_28_148 = % 60.55/9.59 | | | | | | | | | | | | all_28_150) | ~ (all_28_152 = all_28_154) | ~ % 60.55/9.59 | | | | | | | | | | | | (all_28_156 = all_28_158) | ( ~ (all_28_145 = e23) % 60.55/9.59 | | | | | | | | | | | | & ~ (all_28_149 = e23) & ~ (all_28_153 = e23) % 60.55/9.59 | | | | | | | | | | | | & ~ (all_28_157 = e23)) | ( ~ (all_28_145 = % 60.55/9.59 | | | | | | | | | | | | e22) & ~ (all_28_149 = e22) & ~ (all_28_153 % 60.55/9.59 | | | | | | | | | | | | = e22) & ~ (all_28_157 = e22)) | ( ~ % 60.55/9.59 | | | | | | | | | | | | (all_28_145 = e21) & ~ (all_28_149 = e21) & ~ % 60.55/9.59 | | | | | | | | | | | | (all_28_153 = e21) & ~ (all_28_157 = e21)) | ( % 60.55/9.59 | | | | | | | | | | | | ~ (all_28_145 = e20) & ~ (all_28_149 = e20) & % 60.55/9.59 | | | | | | | | | | | | ~ (all_28_153 = e20) & ~ (all_28_157 = e20)) % 60.55/9.59 | | | | | | | | | | | | % 60.55/9.59 | | | | | | | | | | | | BETA: splitting (68) gives: % 60.55/9.59 | | | | | | | | | | | | % 60.55/9.59 | | | | | | | | | | | | Case 1: % 60.55/9.59 | | | | | | | | | | | | | % 60.55/9.59 | | | | | | | | | | | | | (69) ~ (all_28_144 = all_28_146) % 60.55/9.59 | | | | | | | | | | | | | % 60.55/9.59 | | | | | | | | | | | | | REDUCE: (19), (20), (69) imply: % 60.55/9.59 | | | | | | | | | | | | | (70) $false % 60.55/9.59 | | | | | | | | | | | | | % 60.55/9.59 | | | | | | | | | | | | | CLOSE: (70) is inconsistent. % 60.55/9.59 | | | | | | | | | | | | | % 60.55/9.59 | | | | | | | | | | | | Case 2: % 60.55/9.59 | | | | | | | | | | | | | % 60.55/9.59 | | | | | | | | | | | | | (71) ~ (all_28_148 = all_28_150) | ~ (all_28_152 = % 60.55/9.59 | | | | | | | | | | | | | all_28_154) | ~ (all_28_156 = all_28_158) | ( ~ % 60.55/9.59 | | | | | | | | | | | | | (all_28_145 = e23) & ~ (all_28_149 = e23) & ~ % 60.55/9.59 | | | | | | | | | | | | | (all_28_153 = e23) & ~ (all_28_157 = e23)) | ( % 60.55/9.59 | | | | | | | | | | | | | ~ (all_28_145 = e22) & ~ (all_28_149 = e22) & % 60.55/9.59 | | | | | | | | | | | | | ~ (all_28_153 = e22) & ~ (all_28_157 = e22)) | % 60.55/9.59 | | | | | | | | | | | | | ( ~ (all_28_145 = e21) & ~ (all_28_149 = e21) & % 60.55/9.59 | | | | | | | | | | | | | ~ (all_28_153 = e21) & ~ (all_28_157 = e21)) | % 60.55/9.59 | | | | | | | | | | | | | ( ~ (all_28_145 = e20) & ~ (all_28_149 = e20) & % 60.55/9.59 | | | | | | | | | | | | | ~ (all_28_153 = e20) & ~ (all_28_157 = e20)) % 60.55/9.59 | | | | | | | | | | | | | % 60.55/9.59 | | | | | | | | | | | | | BETA: splitting (71) gives: % 60.55/9.59 | | | | | | | | | | | | | % 60.55/9.59 | | | | | | | | | | | | | Case 1: % 60.55/9.59 | | | | | | | | | | | | | | % 60.55/9.59 | | | | | | | | | | | | | | (72) ~ (all_28_148 = all_28_150) % 60.55/9.59 | | | | | | | | | | | | | | % 60.55/9.59 | | | | | | | | | | | | | | REDUCE: (32), (33), (72) imply: % 60.55/9.59 | | | | | | | | | | | | | | (73) $false % 60.55/9.59 | | | | | | | | | | | | | | % 60.55/9.59 | | | | | | | | | | | | | | CLOSE: (73) is inconsistent. % 60.55/9.59 | | | | | | | | | | | | | | % 60.55/9.59 | | | | | | | | | | | | | Case 2: % 60.55/9.59 | | | | | | | | | | | | | | % 60.55/9.59 | | | | | | | | | | | | | | (74) ~ (all_28_152 = all_28_154) | ~ (all_28_156 = % 60.55/9.59 | | | | | | | | | | | | | | all_28_158) | ( ~ (all_28_145 = e23) & ~ % 60.55/9.59 | | | | | | | | | | | | | | (all_28_149 = e23) & ~ (all_28_153 = e23) & ~ % 60.55/9.59 | | | | | | | | | | | | | | (all_28_157 = e23)) | ( ~ (all_28_145 = e22) & % 60.55/9.59 | | | | | | | | | | | | | | ~ (all_28_149 = e22) & ~ (all_28_153 = e22) & % 60.55/9.59 | | | | | | | | | | | | | | ~ (all_28_157 = e22)) | ( ~ (all_28_145 = e21) & % 60.55/9.59 | | | | | | | | | | | | | | ~ (all_28_149 = e21) & ~ (all_28_153 = e21) & % 60.55/9.59 | | | | | | | | | | | | | | ~ (all_28_157 = e21)) | ( ~ (all_28_145 = e20) & % 60.55/9.59 | | | | | | | | | | | | | | ~ (all_28_149 = e20) & ~ (all_28_153 = e20) & % 60.55/9.59 | | | | | | | | | | | | | | ~ (all_28_157 = e20)) % 60.55/9.59 | | | | | | | | | | | | | | % 60.55/9.59 | | | | | | | | | | | | | | REF_CLOSE: (8), (10), (11), (17), (18), (21), (26), (35), % 60.55/9.59 | | | | | | | | | | | | | | (74) are inconsistent by sub-proof #85. % 60.55/9.59 | | | | | | | | | | | | | | % 60.55/9.59 | | | | | | | | | | | | | End of split % 60.55/9.59 | | | | | | | | | | | | | % 60.55/9.59 | | | | | | | | | | | | End of split % 60.55/9.59 | | | | | | | | | | | | % 60.55/9.59 | | | | | | | | | | | End of split % 60.55/9.59 | | | | | | | | | | | % 60.55/9.59 | | | | | | | | | | End of split % 60.55/9.59 | | | | | | | | | | % 60.55/9.59 | | | | | | | | | End of split % 60.55/9.59 | | | | | | | | | % 60.55/9.59 | | | | | | | | End of split % 60.55/9.59 | | | | | | | | % 60.55/9.59 | | | | | | | End of split % 60.55/9.59 | | | | | | | % 60.55/9.59 | | | | | | End of split % 60.55/9.59 | | | | | | % 60.55/9.59 | | | | | End of split % 60.55/9.59 | | | | | % 60.55/9.59 | | | | End of split % 60.55/9.59 | | | | % 60.55/9.59 | | | End of split % 60.55/9.59 | | | % 60.55/9.59 | | End of split % 60.55/9.59 | | % 60.55/9.59 | End of split % 60.55/9.59 | % 60.55/9.59 End of proof % 60.55/9.59 % 60.55/9.59 Sub-proof #21 shows that the following formulas are inconsistent: % 60.55/9.59 ---------------------------------------------------------------- % 60.55/9.59 (1) all_24_3 = e12 % 60.55/9.59 (2) all_24_3 = e11 % 60.55/9.59 (3) ~ (e12 = e11) % 60.55/9.59 % 60.55/9.59 Begin of proof % 60.55/9.59 | % 60.55/9.59 | COMBINE_EQS: (1), (2) imply: % 60.55/9.59 | (4) e12 = e11 % 60.55/9.59 | % 60.55/9.59 | SIMP: (4) implies: % 60.55/9.59 | (5) e12 = e11 % 60.55/9.59 | % 60.55/9.59 | REDUCE: (3), (5) imply: % 60.55/9.59 | (6) $false % 60.55/9.59 | % 60.55/9.59 | CLOSE: (6) is inconsistent. % 60.55/9.59 | % 60.55/9.59 End of proof % 60.55/9.59 % 60.55/9.59 Sub-proof #22 shows that the following formulas are inconsistent: % 60.55/9.59 ---------------------------------------------------------------- % 60.55/9.59 (1) ~ (e23 = e22) % 60.55/9.59 (2) all_26_14 = e22 % 60.55/9.59 (3) all_26_14 = e23 | all_26_15 = e23 % 60.55/9.59 (4) all_26_15 = e21 % 60.55/9.59 (5) ~ (e23 = e21) % 60.55/9.59 % 60.55/9.59 Begin of proof % 60.55/9.59 | % 60.55/9.59 | BETA: splitting (3) gives: % 60.55/9.59 | % 60.55/9.59 | Case 1: % 60.55/9.59 | | % 60.55/9.59 | | (6) all_26_14 = e23 % 60.55/9.59 | | % 60.55/9.59 | | COMBINE_EQS: (2), (6) imply: % 60.55/9.59 | | (7) e23 = e22 % 60.55/9.59 | | % 60.55/9.59 | | REDUCE: (1), (7) imply: % 60.55/9.59 | | (8) $false % 60.55/9.59 | | % 60.55/9.59 | | CLOSE: (8) is inconsistent. % 60.55/9.59 | | % 60.55/9.59 | Case 2: % 60.55/9.59 | | % 60.55/9.59 | | (9) all_26_15 = e23 % 60.55/9.59 | | % 60.55/9.59 | | COMBINE_EQS: (4), (9) imply: % 60.55/9.59 | | (10) e23 = e21 % 60.55/9.59 | | % 60.55/9.59 | | REDUCE: (5), (10) imply: % 60.55/9.59 | | (11) $false % 60.55/9.59 | | % 60.55/9.59 | | CLOSE: (11) is inconsistent. % 60.55/9.59 | | % 60.55/9.59 | End of split % 60.55/9.59 | % 60.55/9.59 End of proof % 60.55/9.59 % 60.55/9.59 Sub-proof #23 shows that the following formulas are inconsistent: % 60.55/9.59 ---------------------------------------------------------------- % 60.55/9.59 (1) (all_22_9 = e23 & all_22_14 = e20 & ~ (all_22_10 = e20) & ~ (all_22_13 % 60.55/9.59 = e21)) | (all_22_10 = e20 & all_22_11 = e22 & ~ (all_22_9 = e23) & % 60.55/9.59 ~ (all_22_12 = e20)) % 60.55/9.59 (2) all_22_9 = e22 % 60.55/9.59 (3) ~ (e23 = e22) % 60.55/9.59 (4) all_22_11 = e23 % 60.55/9.59 % 60.55/9.59 Begin of proof % 60.55/9.59 | % 60.55/9.59 | BETA: splitting (1) gives: % 60.55/9.59 | % 60.55/9.59 | Case 1: % 60.55/9.59 | | % 60.55/9.59 | | (5) all_22_9 = e23 & all_22_14 = e20 & ~ (all_22_10 = e20) & ~ % 60.55/9.59 | | (all_22_13 = e21) % 60.55/9.59 | | % 60.55/9.59 | | ALPHA: (5) implies: % 60.55/9.59 | | (6) all_22_9 = e23 % 60.55/9.59 | | % 60.55/9.59 | | REF_CLOSE: (2), (3), (6) are inconsistent by sub-proof #149. % 60.55/9.59 | | % 60.55/9.59 | Case 2: % 60.55/9.59 | | % 60.55/9.59 | | (7) all_22_10 = e20 & all_22_11 = e22 & ~ (all_22_9 = e23) & ~ % 60.55/9.59 | | (all_22_12 = e20) % 60.55/9.59 | | % 60.55/9.59 | | ALPHA: (7) implies: % 60.55/9.59 | | (8) all_22_11 = e22 % 60.55/9.59 | | % 60.55/9.59 | | REF_CLOSE: (3), (4), (8) are inconsistent by sub-proof #128. % 60.55/9.59 | | % 60.55/9.59 | End of split % 60.55/9.59 | % 60.55/9.59 End of proof % 60.55/9.59 % 60.55/9.59 Sub-proof #24 shows that the following formulas are inconsistent: % 60.55/9.59 ---------------------------------------------------------------- % 60.55/9.59 (1) all_18_4 = all_14_1 % 60.55/9.59 (2) all_18_4 = e23 % 60.55/9.59 (3) ~ (all_14_1 = e23) % 60.55/9.59 % 60.55/9.59 Begin of proof % 60.55/9.59 | % 60.55/9.59 | COMBINE_EQS: (1), (2) imply: % 60.55/9.59 | (4) all_14_1 = e23 % 60.55/9.59 | % 60.55/9.59 | SIMP: (4) implies: % 60.55/9.59 | (5) all_14_1 = e23 % 60.55/9.59 | % 60.55/9.59 | REDUCE: (3), (5) imply: % 60.55/9.59 | (6) $false % 60.55/9.59 | % 60.55/9.59 | CLOSE: (6) is inconsistent. % 60.55/9.59 | % 60.55/9.59 End of proof % 60.55/9.59 % 60.55/9.59 Sub-proof #25 shows that the following formulas are inconsistent: % 60.55/9.59 ---------------------------------------------------------------- % 60.55/9.59 (1) ~ (all_12_2 = e12) % 60.55/9.59 (2) all_24_2 = all_12_1 % 60.55/9.59 (3) all_24_12 = e10 % 60.55/9.59 (4) all_24_2 = e12 | all_24_6 = e12 | all_24_12 = e12 % 60.55/9.59 (5) all_24_6 = all_12_2 % 60.55/9.59 (6) ~ (all_12_1 = e12) % 60.55/9.59 (7) ~ (e12 = e10) % 60.55/9.59 % 60.55/9.59 Begin of proof % 60.55/9.59 | % 60.55/9.59 | BETA: splitting (4) gives: % 60.55/9.59 | % 60.55/9.59 | Case 1: % 60.55/9.59 | | % 60.55/9.59 | | (8) all_24_2 = e12 % 60.55/9.59 | | % 60.55/9.59 | | REF_CLOSE: (2), (6), (8) are inconsistent by sub-proof #179. % 60.55/9.59 | | % 60.55/9.59 | Case 2: % 60.55/9.59 | | % 60.55/9.59 | | (9) all_24_6 = e12 | all_24_12 = e12 % 60.55/9.59 | | % 60.55/9.59 | | BETA: splitting (9) gives: % 60.55/9.59 | | % 60.55/9.59 | | Case 1: % 60.55/9.59 | | | % 60.55/9.59 | | | (10) all_24_6 = e12 % 60.55/9.59 | | | % 60.55/9.59 | | | REF_CLOSE: (1), (5), (10) are inconsistent by sub-proof #26. % 60.55/9.59 | | | % 60.55/9.59 | | Case 2: % 60.55/9.59 | | | % 60.55/9.59 | | | (11) all_24_12 = e12 % 60.55/9.59 | | | % 60.55/9.59 | | | COMBINE_EQS: (3), (11) imply: % 60.55/9.59 | | | (12) e12 = e10 % 60.55/9.59 | | | % 60.55/9.59 | | | REDUCE: (7), (12) imply: % 60.55/9.59 | | | (13) $false % 60.55/9.59 | | | % 60.55/9.59 | | | CLOSE: (13) is inconsistent. % 60.55/9.59 | | | % 60.55/9.59 | | End of split % 60.55/9.59 | | % 60.55/9.59 | End of split % 60.55/9.59 | % 60.55/9.59 End of proof % 60.55/9.59 % 60.55/9.59 Sub-proof #26 shows that the following formulas are inconsistent: % 60.55/9.59 ---------------------------------------------------------------- % 60.55/9.59 (1) all_24_6 = all_12_2 % 60.55/9.59 (2) all_24_6 = e12 % 60.55/9.59 (3) ~ (all_12_2 = e12) % 60.55/9.59 % 60.55/9.59 Begin of proof % 60.55/9.59 | % 60.55/9.59 | COMBINE_EQS: (1), (2) imply: % 60.55/9.59 | (4) all_12_2 = e12 % 60.55/9.59 | % 60.55/9.59 | SIMP: (4) implies: % 60.55/9.59 | (5) all_12_2 = e12 % 60.55/9.59 | % 60.55/9.59 | REDUCE: (3), (5) imply: % 60.55/9.59 | (6) $false % 60.55/9.59 | % 60.55/9.59 | CLOSE: (6) is inconsistent. % 60.55/9.59 | % 60.55/9.59 End of proof % 60.55/9.59 % 60.55/9.59 Sub-proof #27 shows that the following formulas are inconsistent: % 60.55/9.59 ---------------------------------------------------------------- % 60.55/9.59 (1) ~ (e13 = e11) % 60.55/9.59 (2) all_24_15 = e11 % 60.55/9.59 (3) all_24_13 = e13 | all_24_14 = e13 | all_24_15 = e13 % 60.55/9.59 (4) all_24_6 = e12 % 60.55/9.59 (5) all_24_2 = e11 % 60.55/9.59 (6) all_24_12 = e10 % 60.55/9.59 (7) all_24_13 = e13 % 60.55/9.59 (8) ~ (e13 = e10) % 60.55/9.59 (9) all_24_14 = e12 % 60.55/9.59 (10) all_24_2 = e13 | all_24_6 = e13 | all_24_12 = e13 % 60.55/9.59 (11) ~ (e13 = e12) % 60.55/9.59 % 60.55/9.59 Begin of proof % 60.55/9.59 | % 60.55/9.59 | BETA: splitting (10) gives: % 60.55/9.59 | % 60.55/9.59 | Case 1: % 60.55/9.59 | | % 60.55/9.59 | | (12) all_24_2 = e13 % 60.55/9.59 | | % 60.55/9.59 | | COMBINE_EQS: (5), (12) imply: % 60.55/9.59 | | (13) e13 = e11 % 60.55/9.59 | | % 60.55/9.59 | | SIMP: (13) implies: % 60.55/9.59 | | (14) e13 = e11 % 60.55/9.59 | | % 60.55/9.59 | | REDUCE: (1), (14) imply: % 60.55/9.59 | | (15) $false % 60.55/9.59 | | % 60.55/9.59 | | CLOSE: (15) is inconsistent. % 60.55/9.59 | | % 60.55/9.59 | Case 2: % 60.55/9.59 | | % 60.55/9.59 | | (16) ~ (all_24_2 = e13) % 60.55/9.59 | | (17) all_24_6 = e13 | all_24_12 = e13 % 60.55/9.59 | | % 60.55/9.59 | | REDUCE: (5), (16) imply: % 60.55/9.59 | | (18) ~ (e13 = e11) % 60.55/9.59 | | % 60.55/9.59 | | BETA: splitting (17) gives: % 60.55/9.59 | | % 60.55/9.59 | | Case 1: % 60.55/9.59 | | | % 60.55/9.59 | | | (19) all_24_6 = e13 % 60.55/9.59 | | | % 60.55/9.59 | | | COMBINE_EQS: (4), (19) imply: % 60.55/9.59 | | | (20) e13 = e12 % 60.55/9.59 | | | % 60.55/9.59 | | | REDUCE: (11), (20) imply: % 60.55/9.59 | | | (21) $false % 60.55/9.59 | | | % 60.55/9.59 | | | CLOSE: (21) is inconsistent. % 60.55/9.59 | | | % 60.55/9.59 | | Case 2: % 60.55/9.59 | | | % 60.55/9.59 | | | (22) all_24_12 = e13 % 60.55/9.59 | | | % 60.55/9.59 | | | COMBINE_EQS: (6), (22) imply: % 60.55/9.59 | | | (23) e13 = e10 % 60.55/9.59 | | | % 60.55/9.59 | | | COMBINE_EQS: (7), (23) imply: % 60.55/9.59 | | | (24) all_24_13 = e10 % 60.55/9.59 | | | % 60.55/9.59 | | | REF_CLOSE: (1), (2), (3), (8), (9), (11), (24) are inconsistent by % 60.55/9.59 | | | sub-proof #48. % 60.55/9.59 | | | % 60.55/9.59 | | End of split % 60.55/9.59 | | % 60.55/9.59 | End of split % 60.55/9.59 | % 60.55/9.59 End of proof % 60.55/9.59 % 60.55/9.59 Sub-proof #28 shows that the following formulas are inconsistent: % 60.55/9.59 ---------------------------------------------------------------- % 60.55/9.59 (1) all_16_4 = all_12_1 % 60.55/9.59 (2) all_24_2 = all_12_1 % 60.55/9.59 (3) ~ (all_24_2 = e11) % 60.55/9.59 (4) all_16_4 = e13 | all_16_4 = e12 | all_16_4 = e11 % 60.55/9.59 (5) ~ (all_12_1 = e13) % 60.55/9.59 (6) ~ (all_12_1 = e12) % 60.55/9.59 % 60.55/9.59 Begin of proof % 60.55/9.59 | % 60.55/9.59 | REDUCE: (2), (3) imply: % 60.55/9.59 | (7) ~ (all_12_1 = e11) % 60.55/9.59 | % 60.55/9.59 | BETA: splitting (4) gives: % 60.55/9.59 | % 60.55/9.59 | Case 1: % 60.55/9.59 | | % 60.55/9.59 | | (8) all_16_4 = e12 % 60.55/9.59 | | % 60.55/9.59 | | COMBINE_EQS: (1), (8) imply: % 60.55/9.59 | | (9) all_12_1 = e12 % 60.55/9.59 | | % 60.55/9.59 | | REDUCE: (6), (9) imply: % 60.55/9.59 | | (10) $false % 60.55/9.59 | | % 60.55/9.59 | | CLOSE: (10) is inconsistent. % 60.55/9.59 | | % 60.55/9.59 | Case 2: % 60.55/9.59 | | % 60.55/9.59 | | (11) all_16_4 = e13 | all_16_4 = e11 % 60.55/9.59 | | % 60.55/9.59 | | BETA: splitting (11) gives: % 60.55/9.59 | | % 60.55/9.59 | | Case 1: % 60.55/9.59 | | | % 60.55/9.59 | | | (12) all_16_4 = e11 % 60.55/9.59 | | | % 60.55/9.59 | | | COMBINE_EQS: (1), (12) imply: % 60.55/9.59 | | | (13) all_12_1 = e11 % 60.55/9.59 | | | % 60.55/9.59 | | | REDUCE: (7), (13) imply: % 60.55/9.59 | | | (14) $false % 60.55/9.59 | | | % 60.55/9.59 | | | CLOSE: (14) is inconsistent. % 60.55/9.59 | | | % 60.55/9.59 | | Case 2: % 60.55/9.59 | | | % 60.55/9.59 | | | (15) all_16_4 = e13 % 60.55/9.59 | | | % 60.55/9.59 | | | COMBINE_EQS: (1), (15) imply: % 60.55/9.59 | | | (16) all_12_1 = e13 % 60.55/9.59 | | | % 60.55/9.59 | | | REDUCE: (5), (16) imply: % 60.55/9.59 | | | (17) $false % 60.55/9.59 | | | % 60.55/9.59 | | | CLOSE: (17) is inconsistent. % 60.55/9.59 | | | % 60.55/9.59 | | End of split % 60.55/9.59 | | % 60.55/9.59 | End of split % 60.55/9.59 | % 60.55/9.59 End of proof % 60.55/9.59 % 60.55/9.59 Sub-proof #29 shows that the following formulas are inconsistent: % 60.55/9.59 ---------------------------------------------------------------- % 60.55/9.59 (1) all_24_13 = e13 % 60.55/9.59 (2) all_24_13 = e11 % 60.55/9.59 (3) ~ (e13 = e11) % 60.55/9.59 % 60.55/9.59 Begin of proof % 60.55/9.59 | % 60.55/9.59 | COMBINE_EQS: (1), (2) imply: % 60.55/9.59 | (4) e13 = e11 % 60.55/9.59 | % 60.55/9.59 | SIMP: (4) implies: % 60.55/9.59 | (5) e13 = e11 % 60.55/9.59 | % 60.55/9.59 | REDUCE: (3), (5) imply: % 60.55/9.59 | (6) $false % 60.55/9.59 | % 60.55/9.59 | CLOSE: (6) is inconsistent. % 60.55/9.59 | % 60.55/9.59 End of proof % 60.55/9.59 % 60.55/9.59 Sub-proof #30 shows that the following formulas are inconsistent: % 60.55/9.59 ---------------------------------------------------------------- % 60.55/9.59 (1) ~ (all_12_8 = e12) % 60.55/9.59 (2) ~ (all_12_8 = e13) % 60.55/9.59 (3) ~ (all_12_8 = e11) % 60.55/9.59 (4) all_16_2 = all_12_8 % 60.55/9.59 (5) all_16_2 = e13 | all_16_2 = e12 | all_16_2 = e11 % 60.55/9.59 % 60.55/9.59 Begin of proof % 60.55/9.59 | % 60.55/9.59 | BETA: splitting (5) gives: % 60.55/9.59 | % 60.55/9.59 | Case 1: % 60.55/9.59 | | % 60.55/9.59 | | (6) all_16_2 = e12 % 60.55/9.59 | | % 60.55/9.59 | | COMBINE_EQS: (4), (6) imply: % 60.55/9.59 | | (7) all_12_8 = e12 % 60.55/9.59 | | % 60.55/9.59 | | REDUCE: (1), (7) imply: % 60.55/9.59 | | (8) $false % 60.55/9.59 | | % 60.55/9.59 | | CLOSE: (8) is inconsistent. % 60.55/9.59 | | % 60.55/9.59 | Case 2: % 60.55/9.59 | | % 60.55/9.59 | | (9) all_16_2 = e13 | all_16_2 = e11 % 60.55/9.59 | | % 60.55/9.59 | | BETA: splitting (9) gives: % 60.55/9.59 | | % 60.55/9.59 | | Case 1: % 60.55/9.59 | | | % 60.55/9.59 | | | (10) all_16_2 = e11 % 60.55/9.59 | | | % 60.55/9.59 | | | COMBINE_EQS: (4), (10) imply: % 60.55/9.59 | | | (11) all_12_8 = e11 % 60.55/9.59 | | | % 60.55/9.59 | | | REDUCE: (3), (11) imply: % 60.55/9.59 | | | (12) $false % 60.55/9.59 | | | % 60.55/9.59 | | | CLOSE: (12) is inconsistent. % 60.55/9.59 | | | % 60.55/9.59 | | Case 2: % 60.55/9.59 | | | % 60.55/9.59 | | | (13) all_16_2 = e13 % 60.55/9.59 | | | % 60.55/9.59 | | | COMBINE_EQS: (4), (13) imply: % 60.55/9.59 | | | (14) all_12_8 = e13 % 60.55/9.59 | | | % 60.55/9.59 | | | REDUCE: (2), (14) imply: % 60.55/9.59 | | | (15) $false % 60.55/9.59 | | | % 60.55/9.59 | | | CLOSE: (15) is inconsistent. % 60.55/9.59 | | | % 60.55/9.59 | | End of split % 60.55/9.59 | | % 60.55/9.59 | End of split % 60.55/9.59 | % 60.55/9.59 End of proof % 60.55/9.59 % 60.55/9.59 Sub-proof #31 shows that the following formulas are inconsistent: % 60.55/9.59 ---------------------------------------------------------------- % 60.55/9.59 (1) all_20_10 = e13 % 60.55/9.59 (2) all_20_15 = e11 % 60.55/9.59 (3) all_20_9 = e12 % 60.55/9.59 (4) all_24_15 = e11 % 60.55/9.59 (5) all_24_13 = e13 | all_24_14 = e13 | all_24_15 = e13 % 60.55/9.59 (6) ~ (all_12_8 = e10) % 60.55/9.59 (7) all_20_11 = e13 % 60.55/9.59 (8) ~ (all_12_8 = e12) % 60.55/9.59 (9) all_20_13 = e10 % 60.55/9.59 (10) ~ (all_12_8 = e13) % 60.55/9.59 (11) all_20_5 = e13 % 60.55/9.59 (12) ~ (all_20_14 = e13) | all_20_1 = e11 % 60.55/9.59 (13) all_20_6 = all_12_8 % 60.55/9.59 (14) all_20_14 = all_12_10 % 60.55/9.59 (15) all_20_7 = e10 % 60.55/9.59 (16) all_20_3 = e10 % 60.55/9.59 (17) all_16_2 = all_12_8 % 60.55/9.59 (18) all_24_13 = e13 % 60.55/9.59 (19) all_16_10 = all_12_10 % 60.55/9.59 (20) all_24_14 = e12 % 60.55/9.59 (21) ~ (all_12_8 = all_12_10) % 60.55/9.60 (22) (all_20_0 = e12 & all_20_14 = e13 & ~ (all_20_1 = e11) & ~ (all_20_12 % 60.55/9.60 = e13)) | (all_20_0 = e12 & all_20_15 = e13 & ~ (all_20_2 = e10) & % 60.55/9.60 ~ (all_20_12 = e13)) | (all_20_1 = e11 & all_20_12 = e13 & ~ % 60.55/9.60 (all_20_0 = e12) & ~ (all_20_14 = e13)) | (all_20_1 = e11 & all_20_15 % 60.55/9.60 = e13 & ~ (all_20_2 = e10) & ~ (all_20_14 = e13)) | (all_20_2 = e10 % 60.55/9.60 & all_20_12 = e13 & ~ (all_20_0 = e12) & ~ (all_20_15 = e13)) | % 60.55/9.60 (all_20_2 = e10 & all_20_14 = e13 & ~ (all_20_1 = e11) & ~ (all_20_15 % 60.55/9.60 = e13)) | (all_20_3 = e13 & all_20_14 = e12 & ~ (all_20_4 = e11) & % 60.55/9.60 ~ (all_20_10 = e12)) | (all_20_3 = e13 & all_20_15 = e12 & ~ % 60.55/9.60 (all_20_5 = e10) & ~ (all_20_10 = e12)) | (all_20_4 = e11 & all_20_10 % 60.55/9.60 = e12 & ~ (all_20_3 = e13) & ~ (all_20_14 = e12)) | (all_20_4 = e11 % 60.55/9.60 & all_20_15 = e12 & ~ (all_20_5 = e10) & ~ (all_20_14 = e12)) | % 60.55/9.60 (all_20_5 = e10 & all_20_10 = e12 & ~ (all_20_3 = e13) & ~ (all_20_15 % 60.55/9.60 = e12)) | (all_20_5 = e10 & all_20_14 = e12 & ~ (all_20_4 = e11) & % 60.55/9.60 ~ (all_20_15 = e12)) | (all_20_6 = e13 & all_20_12 = e11 & ~ % 60.55/9.60 (all_20_7 = e12) & ~ (all_20_10 = e11)) | (all_20_6 = e13 & all_20_15 % 60.55/9.60 = e11 & ~ (all_20_8 = e10) & ~ (all_20_10 = e11)) | (all_20_7 = e12 % 60.55/9.60 & all_20_10 = e11 & ~ (all_20_6 = e13) & ~ (all_20_12 = e11)) | % 60.55/9.60 (all_20_7 = e12 & all_20_15 = e11 & ~ (all_20_8 = e10) & ~ (all_20_12 % 60.55/9.60 = e11)) | (all_20_8 = e10 & all_20_10 = e11 & ~ (all_20_6 = e13) & % 60.55/9.60 ~ (all_20_15 = e11)) | (all_20_8 = e10 & all_20_12 = e11 & ~ % 60.55/9.60 (all_20_7 = e12) & ~ (all_20_15 = e11)) | (all_20_9 = e13 & all_20_12 % 60.55/9.60 = e10 & ~ (all_20_10 = e10) & ~ (all_20_11 = e12)) | (all_20_9 = e13 % 60.55/9.60 & all_20_14 = e10 & ~ (all_20_10 = e10) & ~ (all_20_13 = e11)) | % 60.55/9.60 (all_20_10 = e10 & all_20_11 = e12 & ~ (all_20_9 = e13) & ~ (all_20_12 % 60.55/9.60 = e10)) | (all_20_10 = e10 & all_20_13 = e11 & ~ (all_20_9 = e13) & % 60.55/9.60 ~ (all_20_14 = e10)) | (all_20_11 = e12 & all_20_14 = e10 & ~ % 60.55/9.60 (all_20_12 = e10) & ~ (all_20_13 = e11)) | (all_20_12 = e10 & % 60.55/9.60 all_20_13 = e11 & ~ (all_20_11 = e12) & ~ (all_20_14 = e10)) % 60.55/9.60 (23) all_20_8 = e12 % 60.55/9.60 (24) all_16_10 = e13 | all_16_10 = e12 | all_16_10 = e11 % 60.55/9.60 (25) ~ (e12 = e10) % 60.55/9.60 (26) all_20_12 = all_12_5 % 60.55/9.60 (27) ~ (all_12_10 = e10) % 60.55/9.60 (28) all_16_2 = e13 | all_16_2 = e12 | all_16_2 = e11 % 60.55/9.60 (29) ~ (all_12_10 = e12) % 60.55/9.60 (30) all_20_1 = all_12_2 % 60.55/9.60 (31) ~ (all_12_5 = e13) % 60.55/9.60 % 60.55/9.60 Begin of proof % 60.55/9.60 | % 60.55/9.60 | BETA: splitting (28) gives: % 60.55/9.60 | % 60.55/9.60 | Case 1: % 60.55/9.60 | | % 60.55/9.60 | | (32) all_16_2 = e12 % 60.55/9.60 | | % 60.55/9.60 | | COMBINE_EQS: (17), (32) imply: % 60.55/9.60 | | (33) all_12_8 = e12 % 60.55/9.60 | | % 60.55/9.60 | | REDUCE: (8), (33) imply: % 60.55/9.60 | | (34) $false % 60.55/9.60 | | % 60.55/9.60 | | CLOSE: (34) is inconsistent. % 60.55/9.60 | | % 60.55/9.60 | Case 2: % 60.55/9.60 | | % 60.55/9.60 | | (35) ~ (all_16_2 = e12) % 60.55/9.60 | | (36) all_16_2 = e13 | all_16_2 = e11 % 60.55/9.60 | | % 60.55/9.60 | | BETA: splitting (36) gives: % 60.55/9.60 | | % 60.55/9.60 | | Case 1: % 60.55/9.60 | | | % 60.55/9.60 | | | (37) all_16_2 = e11 % 60.55/9.60 | | | % 60.55/9.60 | | | COMBINE_EQS: (17), (37) imply: % 60.55/9.60 | | | (38) all_12_8 = e11 % 60.55/9.60 | | | % 60.55/9.60 | | | COMBINE_EQS: (13), (38) imply: % 60.55/9.60 | | | (39) all_20_6 = e11 % 60.55/9.60 | | | % 60.55/9.60 | | | REDUCE: (21), (38) imply: % 60.55/9.60 | | | (40) ~ (all_12_10 = e11) % 60.55/9.60 | | | % 60.55/9.60 | | | SIMP: (40) implies: % 60.55/9.60 | | | (41) ~ (all_12_10 = e11) % 60.55/9.60 | | | % 60.55/9.60 | | | REDUCE: (8), (38) imply: % 60.55/9.60 | | | (42) ~ (e12 = e11) % 60.55/9.60 | | | % 60.55/9.60 | | | SIMP: (42) implies: % 60.55/9.60 | | | (43) ~ (e12 = e11) % 60.55/9.60 | | | % 60.55/9.60 | | | REDUCE: (6), (38) imply: % 60.55/9.60 | | | (44) ~ (e11 = e10) % 60.55/9.60 | | | % 60.55/9.60 | | | BETA: splitting (24) gives: % 60.55/9.60 | | | % 60.55/9.60 | | | Case 1: % 60.55/9.60 | | | | % 60.55/9.60 | | | | (45) all_16_10 = e12 % 60.55/9.60 | | | | % 60.55/9.60 | | | | COMBINE_EQS: (19), (45) imply: % 60.55/9.60 | | | | (46) all_12_10 = e12 % 60.55/9.60 | | | | % 60.55/9.60 | | | | REDUCE: (29), (46) imply: % 60.55/9.60 | | | | (47) $false % 60.55/9.60 | | | | % 60.55/9.60 | | | | CLOSE: (47) is inconsistent. % 60.55/9.60 | | | | % 60.55/9.60 | | | Case 2: % 60.55/9.60 | | | | % 60.55/9.60 | | | | (48) ~ (all_16_10 = e12) % 60.55/9.60 | | | | (49) all_16_10 = e13 | all_16_10 = e11 % 60.55/9.60 | | | | % 60.55/9.60 | | | | BETA: splitting (49) gives: % 60.55/9.60 | | | | % 60.55/9.60 | | | | Case 1: % 60.55/9.60 | | | | | % 60.55/9.60 | | | | | (50) all_16_10 = e11 % 60.55/9.60 | | | | | % 60.55/9.60 | | | | | COMBINE_EQS: (19), (50) imply: % 60.55/9.60 | | | | | (51) all_12_10 = e11 % 60.55/9.60 | | | | | % 60.55/9.60 | | | | | REDUCE: (41), (51) imply: % 60.55/9.60 | | | | | (52) $false % 60.55/9.60 | | | | | % 60.55/9.60 | | | | | CLOSE: (52) is inconsistent. % 60.55/9.60 | | | | | % 60.55/9.60 | | | | Case 2: % 60.55/9.60 | | | | | % 60.55/9.60 | | | | | (53) all_16_10 = e13 % 60.55/9.60 | | | | | % 60.55/9.60 | | | | | COMBINE_EQS: (19), (53) imply: % 60.55/9.60 | | | | | (54) all_12_10 = e13 % 60.55/9.60 | | | | | % 60.55/9.60 | | | | | COMBINE_EQS: (14), (54) imply: % 60.55/9.60 | | | | | (55) all_20_14 = e13 % 60.55/9.60 | | | | | % 60.55/9.60 | | | | | REDUCE: (29), (54) imply: % 60.55/9.60 | | | | | (56) ~ (e13 = e12) % 60.55/9.60 | | | | | % 60.55/9.60 | | | | | REDUCE: (41), (54) imply: % 60.55/9.60 | | | | | (57) ~ (e13 = e11) % 60.55/9.60 | | | | | % 60.55/9.60 | | | | | REDUCE: (27), (54) imply: % 60.55/9.60 | | | | | (58) ~ (e13 = e10) % 60.55/9.60 | | | | | % 60.55/9.60 | | | | | BETA: splitting (22) gives: % 60.55/9.60 | | | | | % 60.55/9.60 | | | | | Case 1: % 60.55/9.60 | | | | | | % 60.55/9.60 | | | | | | (59) (all_20_0 = e12 & all_20_14 = e13 & ~ (all_20_1 = e11) & ~ % 60.55/9.60 | | | | | | (all_20_12 = e13)) | (all_20_0 = e12 & all_20_15 = e13 & % 60.55/9.60 | | | | | | ~ (all_20_2 = e10) & ~ (all_20_12 = e13)) | (all_20_1 = % 60.55/9.60 | | | | | | e11 & all_20_12 = e13 & ~ (all_20_0 = e12) & ~ % 60.55/9.60 | | | | | | (all_20_14 = e13)) | (all_20_1 = e11 & all_20_15 = e13 & % 60.55/9.60 | | | | | | ~ (all_20_2 = e10) & ~ (all_20_14 = e13)) | (all_20_2 = % 60.55/9.60 | | | | | | e10 & all_20_12 = e13 & ~ (all_20_0 = e12) & ~ % 60.55/9.60 | | | | | | (all_20_15 = e13)) | (all_20_2 = e10 & all_20_14 = e13 & % 60.55/9.60 | | | | | | ~ (all_20_1 = e11) & ~ (all_20_15 = e13)) | (all_20_3 = % 60.55/9.60 | | | | | | e13 & all_20_14 = e12 & ~ (all_20_4 = e11) & ~ % 60.55/9.60 | | | | | | (all_20_10 = e12)) | (all_20_3 = e13 & all_20_15 = e12 & % 60.55/9.60 | | | | | | ~ (all_20_5 = e10) & ~ (all_20_10 = e12)) | (all_20_4 = % 60.55/9.60 | | | | | | e11 & all_20_10 = e12 & ~ (all_20_3 = e13) & ~ % 60.55/9.60 | | | | | | (all_20_14 = e12)) | (all_20_4 = e11 & all_20_15 = e12 & % 60.55/9.60 | | | | | | ~ (all_20_5 = e10) & ~ (all_20_14 = e12)) | (all_20_5 = % 60.55/9.60 | | | | | | e10 & all_20_10 = e12 & ~ (all_20_3 = e13) & ~ % 60.55/9.60 | | | | | | (all_20_15 = e12)) | (all_20_5 = e10 & all_20_14 = e12 & % 60.55/9.60 | | | | | | ~ (all_20_4 = e11) & ~ (all_20_15 = e12)) % 60.55/9.60 | | | | | | % 60.55/9.60 | | | | | | BETA: splitting (59) gives: % 60.55/9.60 | | | | | | % 60.55/9.60 | | | | | | Case 1: % 60.55/9.60 | | | | | | | % 60.55/9.60 | | | | | | | (60) (all_20_0 = e12 & all_20_14 = e13 & ~ (all_20_1 = e11) & % 60.55/9.60 | | | | | | | ~ (all_20_12 = e13)) | (all_20_0 = e12 & all_20_15 = e13 % 60.55/9.60 | | | | | | | & ~ (all_20_2 = e10) & ~ (all_20_12 = e13)) | % 60.55/9.60 | | | | | | | (all_20_1 = e11 & all_20_12 = e13 & ~ (all_20_0 = e12) & % 60.55/9.60 | | | | | | | ~ (all_20_14 = e13)) | (all_20_1 = e11 & all_20_15 = e13 % 60.55/9.60 | | | | | | | & ~ (all_20_2 = e10) & ~ (all_20_14 = e13)) | % 60.55/9.60 | | | | | | | (all_20_2 = e10 & all_20_12 = e13 & ~ (all_20_0 = e12) & % 60.55/9.60 | | | | | | | ~ (all_20_15 = e13)) | (all_20_2 = e10 & all_20_14 = e13 % 60.55/9.60 | | | | | | | & ~ (all_20_1 = e11) & ~ (all_20_15 = e13)) % 60.55/9.60 | | | | | | | % 60.55/9.60 | | | | | | | BETA: splitting (60) gives: % 60.55/9.60 | | | | | | | % 60.55/9.60 | | | | | | | Case 1: % 60.55/9.60 | | | | | | | | % 60.55/9.60 | | | | | | | | (61) (all_20_0 = e12 & all_20_14 = e13 & ~ (all_20_1 = e11) % 60.55/9.60 | | | | | | | | & ~ (all_20_12 = e13)) | (all_20_0 = e12 & all_20_15 % 60.55/9.60 | | | | | | | | = e13 & ~ (all_20_2 = e10) & ~ (all_20_12 = e13)) | % 60.55/9.60 | | | | | | | | (all_20_1 = e11 & all_20_12 = e13 & ~ (all_20_0 = e12) % 60.55/9.60 | | | | | | | | & ~ (all_20_14 = e13)) % 60.55/9.60 | | | | | | | | % 60.55/9.60 | | | | | | | | BETA: splitting (61) gives: % 60.55/9.60 | | | | | | | | % 60.55/9.60 | | | | | | | | Case 1: % 60.55/9.60 | | | | | | | | | % 60.55/9.60 | | | | | | | | | (62) all_20_0 = e12 & all_20_14 = e13 & ~ (all_20_1 = e11) % 60.55/9.60 | | | | | | | | | & ~ (all_20_12 = e13) % 60.55/9.60 | | | | | | | | | % 60.55/9.60 | | | | | | | | | ALPHA: (62) implies: % 60.55/9.60 | | | | | | | | | (63) ~ (all_20_1 = e11) % 60.55/9.60 | | | | | | | | | % 60.55/9.60 | | | | | | | | | REF_CLOSE: (12), (30), (55), (63) are inconsistent by % 60.55/9.60 | | | | | | | | | sub-proof #42. % 60.55/9.60 | | | | | | | | | % 60.55/9.60 | | | | | | | | Case 2: % 60.55/9.60 | | | | | | | | | % 60.55/9.60 | | | | | | | | | (64) (all_20_0 = e12 & all_20_15 = e13 & ~ (all_20_2 = % 60.55/9.60 | | | | | | | | | e10) & ~ (all_20_12 = e13)) | (all_20_1 = e11 & % 60.55/9.60 | | | | | | | | | all_20_12 = e13 & ~ (all_20_0 = e12) & ~ % 60.55/9.60 | | | | | | | | | (all_20_14 = e13)) % 60.55/9.60 | | | | | | | | | % 60.55/9.60 | | | | | | | | | BETA: splitting (64) gives: % 60.55/9.60 | | | | | | | | | % 60.55/9.60 | | | | | | | | | Case 1: % 60.55/9.60 | | | | | | | | | | % 60.55/9.60 | | | | | | | | | | (65) all_20_0 = e12 & all_20_15 = e13 & ~ (all_20_2 = % 60.55/9.60 | | | | | | | | | | e10) & ~ (all_20_12 = e13) % 60.55/9.60 | | | | | | | | | | % 60.55/9.60 | | | | | | | | | | REF_CLOSE: (2), (57), (65) are inconsistent by sub-proof % 60.55/9.60 | | | | | | | | | | #178. % 60.55/9.60 | | | | | | | | | | % 60.55/9.60 | | | | | | | | | Case 2: % 60.55/9.60 | | | | | | | | | | % 60.55/9.60 | | | | | | | | | | (66) all_20_1 = e11 & all_20_12 = e13 & ~ (all_20_0 = % 60.55/9.60 | | | | | | | | | | e12) & ~ (all_20_14 = e13) % 60.55/9.60 | | | | | | | | | | % 60.55/9.60 | | | | | | | | | | ALPHA: (66) implies: % 60.55/9.60 | | | | | | | | | | (67) all_20_12 = e13 % 60.55/9.60 | | | | | | | | | | % 60.55/9.60 | | | | | | | | | | REF_CLOSE: (26), (31), (67) are inconsistent by sub-proof % 60.55/9.60 | | | | | | | | | | #41. % 60.55/9.60 | | | | | | | | | | % 60.55/9.60 | | | | | | | | | End of split % 60.55/9.60 | | | | | | | | | % 60.55/9.60 | | | | | | | | End of split % 60.55/9.60 | | | | | | | | % 60.55/9.60 | | | | | | | Case 2: % 60.55/9.60 | | | | | | | | % 60.55/9.60 | | | | | | | | (68) (all_20_1 = e11 & all_20_15 = e13 & ~ (all_20_2 = e10) % 60.55/9.60 | | | | | | | | & ~ (all_20_14 = e13)) | (all_20_2 = e10 & all_20_12 % 60.55/9.60 | | | | | | | | = e13 & ~ (all_20_0 = e12) & ~ (all_20_15 = e13)) | % 60.55/9.60 | | | | | | | | (all_20_2 = e10 & all_20_14 = e13 & ~ (all_20_1 = e11) % 60.55/9.60 | | | | | | | | & ~ (all_20_15 = e13)) % 60.55/9.60 | | | | | | | | % 60.55/9.60 | | | | | | | | BETA: splitting (68) gives: % 60.55/9.60 | | | | | | | | % 60.55/9.60 | | | | | | | | Case 1: % 60.55/9.60 | | | | | | | | | % 60.55/9.60 | | | | | | | | | (69) all_20_1 = e11 & all_20_15 = e13 & ~ (all_20_2 = e10) % 60.55/9.60 | | | | | | | | | & ~ (all_20_14 = e13) % 60.55/9.60 | | | | | | | | | % 60.55/9.60 | | | | | | | | | ALPHA: (69) implies: % 60.55/9.60 | | | | | | | | | (70) all_20_15 = e13 % 60.55/9.60 | | | | | | | | | % 60.55/9.60 | | | | | | | | | COMBINE_EQS: (2), (70) imply: % 60.55/9.60 | | | | | | | | | (71) e13 = e11 % 60.55/9.60 | | | | | | | | | % 60.55/9.60 | | | | | | | | | REDUCE: (57), (71) imply: % 60.55/9.60 | | | | | | | | | (72) $false % 60.55/9.60 | | | | | | | | | % 60.55/9.60 | | | | | | | | | CLOSE: (72) is inconsistent. % 60.55/9.60 | | | | | | | | | % 60.55/9.60 | | | | | | | | Case 2: % 60.55/9.60 | | | | | | | | | % 60.55/9.60 | | | | | | | | | (73) (all_20_2 = e10 & all_20_12 = e13 & ~ (all_20_0 = % 60.55/9.60 | | | | | | | | | e12) & ~ (all_20_15 = e13)) | (all_20_2 = e10 & % 60.55/9.60 | | | | | | | | | all_20_14 = e13 & ~ (all_20_1 = e11) & ~ % 60.55/9.60 | | | | | | | | | (all_20_15 = e13)) % 60.55/9.60 | | | | | | | | | % 60.55/9.60 | | | | | | | | | BETA: splitting (73) gives: % 60.55/9.60 | | | | | | | | | % 60.55/9.60 | | | | | | | | | Case 1: % 60.55/9.60 | | | | | | | | | | % 60.55/9.60 | | | | | | | | | | (74) all_20_2 = e10 & all_20_12 = e13 & ~ (all_20_0 = % 60.55/9.60 | | | | | | | | | | e12) & ~ (all_20_15 = e13) % 60.55/9.60 | | | | | | | | | | % 60.55/9.60 | | | | | | | | | | ALPHA: (74) implies: % 60.55/9.60 | | | | | | | | | | (75) all_20_12 = e13 % 60.55/9.60 | | | | | | | | | | % 60.55/9.60 | | | | | | | | | | REF_CLOSE: (26), (31), (75) are inconsistent by sub-proof % 60.55/9.60 | | | | | | | | | | #41. % 60.55/9.60 | | | | | | | | | | % 60.55/9.60 | | | | | | | | | Case 2: % 60.55/9.60 | | | | | | | | | | % 60.55/9.60 | | | | | | | | | | (76) all_20_2 = e10 & all_20_14 = e13 & ~ (all_20_1 = % 60.55/9.60 | | | | | | | | | | e11) & ~ (all_20_15 = e13) % 60.55/9.60 | | | | | | | | | | % 60.55/9.60 | | | | | | | | | | ALPHA: (76) implies: % 60.55/9.60 | | | | | | | | | | (77) ~ (all_20_1 = e11) % 60.55/9.60 | | | | | | | | | | % 60.55/9.60 | | | | | | | | | | REF_CLOSE: (12), (30), (55), (77) are inconsistent by % 60.55/9.60 | | | | | | | | | | sub-proof #42. % 60.55/9.60 | | | | | | | | | | % 60.55/9.60 | | | | | | | | | End of split % 60.55/9.60 | | | | | | | | | % 60.55/9.60 | | | | | | | | End of split % 60.55/9.60 | | | | | | | | % 60.55/9.60 | | | | | | | End of split % 60.55/9.60 | | | | | | | % 60.55/9.60 | | | | | | Case 2: % 60.55/9.60 | | | | | | | % 60.55/9.60 | | | | | | | (78) (all_20_3 = e13 & all_20_14 = e12 & ~ (all_20_4 = e11) & % 60.55/9.60 | | | | | | | ~ (all_20_10 = e12)) | (all_20_3 = e13 & all_20_15 = e12 % 60.55/9.60 | | | | | | | & ~ (all_20_5 = e10) & ~ (all_20_10 = e12)) | % 60.55/9.60 | | | | | | | (all_20_4 = e11 & all_20_10 = e12 & ~ (all_20_3 = e13) & % 60.55/9.60 | | | | | | | ~ (all_20_14 = e12)) | (all_20_4 = e11 & all_20_15 = e12 % 60.55/9.60 | | | | | | | & ~ (all_20_5 = e10) & ~ (all_20_14 = e12)) | % 60.55/9.60 | | | | | | | (all_20_5 = e10 & all_20_10 = e12 & ~ (all_20_3 = e13) & % 60.55/9.60 | | | | | | | ~ (all_20_15 = e12)) | (all_20_5 = e10 & all_20_14 = e12 % 60.55/9.60 | | | | | | | & ~ (all_20_4 = e11) & ~ (all_20_15 = e12)) % 60.55/9.60 | | | | | | | % 60.55/9.60 | | | | | | | BETA: splitting (78) gives: % 60.55/9.60 | | | | | | | % 60.55/9.60 | | | | | | | Case 1: % 60.55/9.60 | | | | | | | | % 60.55/9.60 | | | | | | | | (79) (all_20_3 = e13 & all_20_14 = e12 & ~ (all_20_4 = e11) % 60.55/9.60 | | | | | | | | & ~ (all_20_10 = e12)) | (all_20_3 = e13 & all_20_15 % 60.55/9.60 | | | | | | | | = e12 & ~ (all_20_5 = e10) & ~ (all_20_10 = e12)) | % 60.55/9.60 | | | | | | | | (all_20_4 = e11 & all_20_10 = e12 & ~ (all_20_3 = e13) % 60.55/9.60 | | | | | | | | & ~ (all_20_14 = e12)) % 60.55/9.60 | | | | | | | | % 60.55/9.60 | | | | | | | | BETA: splitting (79) gives: % 60.55/9.60 | | | | | | | | % 60.55/9.60 | | | | | | | | Case 1: % 60.55/9.60 | | | | | | | | | % 60.55/9.60 | | | | | | | | | (80) all_20_3 = e13 & all_20_14 = e12 & ~ (all_20_4 = e11) % 60.55/9.60 | | | | | | | | | & ~ (all_20_10 = e12) % 60.55/9.60 | | | | | | | | | % 60.55/9.60 | | | | | | | | | ALPHA: (80) implies: % 60.55/9.60 | | | | | | | | | (81) all_20_3 = e13 % 60.55/9.60 | | | | | | | | | % 60.55/9.60 | | | | | | | | | REF_CLOSE: (4), (5), (16), (18), (20), (56), (57), (58), (81) % 60.55/9.60 | | | | | | | | | are inconsistent by sub-proof #40. % 60.55/9.60 | | | | | | | | | % 60.55/9.60 | | | | | | | | Case 2: % 60.55/9.60 | | | | | | | | | % 60.55/9.60 | | | | | | | | | (82) (all_20_3 = e13 & all_20_15 = e12 & ~ (all_20_5 = % 60.55/9.60 | | | | | | | | | e10) & ~ (all_20_10 = e12)) | (all_20_4 = e11 & % 60.55/9.60 | | | | | | | | | all_20_10 = e12 & ~ (all_20_3 = e13) & ~ % 60.55/9.60 | | | | | | | | | (all_20_14 = e12)) % 60.55/9.60 | | | | | | | | | % 60.55/9.60 | | | | | | | | | BETA: splitting (82) gives: % 60.55/9.60 | | | | | | | | | % 60.55/9.60 | | | | | | | | | Case 1: % 60.55/9.60 | | | | | | | | | | % 60.55/9.60 | | | | | | | | | | (83) all_20_3 = e13 & all_20_15 = e12 & ~ (all_20_5 = % 60.55/9.60 | | | | | | | | | | e10) & ~ (all_20_10 = e12) % 60.55/9.60 | | | | | | | | | | % 60.55/9.60 | | | | | | | | | | ALPHA: (83) implies: % 60.55/9.60 | | | | | | | | | | (84) all_20_3 = e13 % 60.55/9.60 | | | | | | | | | | % 60.55/9.60 | | | | | | | | | | REF_CLOSE: (4), (5), (16), (18), (20), (56), (57), (58), (84) % 60.55/9.60 | | | | | | | | | | are inconsistent by sub-proof #40. % 60.55/9.60 | | | | | | | | | | % 60.55/9.60 | | | | | | | | | Case 2: % 60.55/9.60 | | | | | | | | | | % 60.55/9.60 | | | | | | | | | | (85) all_20_4 = e11 & all_20_10 = e12 & ~ (all_20_3 = % 60.55/9.60 | | | | | | | | | | e13) & ~ (all_20_14 = e12) % 60.55/9.60 | | | | | | | | | | % 60.55/9.60 | | | | | | | | | | REF_CLOSE: (1), (56), (85) are inconsistent by sub-proof #39. % 60.55/9.60 | | | | | | | | | | % 60.55/9.60 | | | | | | | | | End of split % 60.55/9.60 | | | | | | | | | % 60.55/9.60 | | | | | | | | End of split % 60.55/9.60 | | | | | | | | % 60.55/9.60 | | | | | | | Case 2: % 60.55/9.60 | | | | | | | | % 60.55/9.60 | | | | | | | | (86) (all_20_4 = e11 & all_20_15 = e12 & ~ (all_20_5 = e10) % 60.55/9.60 | | | | | | | | & ~ (all_20_14 = e12)) | (all_20_5 = e10 & all_20_10 % 60.55/9.60 | | | | | | | | = e12 & ~ (all_20_3 = e13) & ~ (all_20_15 = e12)) | % 60.55/9.60 | | | | | | | | (all_20_5 = e10 & all_20_14 = e12 & ~ (all_20_4 = e11) % 60.55/9.60 | | | | | | | | & ~ (all_20_15 = e12)) % 60.55/9.60 | | | | | | | | % 60.55/9.60 | | | | | | | | BETA: splitting (86) gives: % 60.55/9.60 | | | | | | | | % 60.55/9.60 | | | | | | | | Case 1: % 60.55/9.60 | | | | | | | | | % 60.55/9.60 | | | | | | | | | (87) all_20_4 = e11 & all_20_15 = e12 & ~ (all_20_5 = e10) % 60.55/9.60 | | | | | | | | | & ~ (all_20_14 = e12) % 60.55/9.60 | | | | | | | | | % 60.55/9.60 | | | | | | | | | REF_CLOSE: (2), (43), (87) are inconsistent by sub-proof #173. % 60.55/9.60 | | | | | | | | | % 60.55/9.60 | | | | | | | | Case 2: % 60.55/9.60 | | | | | | | | | % 60.55/9.60 | | | | | | | | | (88) (all_20_5 = e10 & all_20_10 = e12 & ~ (all_20_3 = % 60.55/9.60 | | | | | | | | | e13) & ~ (all_20_15 = e12)) | (all_20_5 = e10 & % 60.55/9.60 | | | | | | | | | all_20_14 = e12 & ~ (all_20_4 = e11) & ~ % 60.55/9.60 | | | | | | | | | (all_20_15 = e12)) % 60.55/9.60 | | | | | | | | | % 60.55/9.60 | | | | | | | | | BETA: splitting (88) gives: % 60.55/9.60 | | | | | | | | | % 60.55/9.60 | | | | | | | | | Case 1: % 60.55/9.60 | | | | | | | | | | % 60.55/9.60 | | | | | | | | | | (89) all_20_5 = e10 & all_20_10 = e12 & ~ (all_20_3 = % 60.55/9.60 | | | | | | | | | | e13) & ~ (all_20_15 = e12) % 60.55/9.60 | | | | | | | | | | % 60.55/9.60 | | | | | | | | | | ALPHA: (89) implies: % 60.55/9.60 | | | | | | | | | | (90) all_20_10 = e12 % 60.55/9.60 | | | | | | | | | | (91) all_20_5 = e10 % 60.55/9.60 | | | | | | | | | | % 60.55/9.60 | | | | | | | | | | COMBINE_EQS: (11), (91) imply: % 60.55/9.60 | | | | | | | | | | (92) e13 = e10 % 60.55/9.60 | | | | | | | | | | % 60.55/9.60 | | | | | | | | | | SIMP: (92) implies: % 60.55/9.60 | | | | | | | | | | (93) e13 = e10 % 60.55/9.60 | | | | | | | | | | % 60.55/9.60 | | | | | | | | | | REF_CLOSE: (1), (4), (5), (18), (20), (56), (57), (58), (90), % 60.55/9.60 | | | | | | | | | | (93) are inconsistent by sub-proof #37. % 60.55/9.60 | | | | | | | | | | % 60.55/9.60 | | | | | | | | | Case 2: % 60.55/9.60 | | | | | | | | | | % 60.55/9.60 | | | | | | | | | | (94) all_20_5 = e10 & all_20_14 = e12 & ~ (all_20_4 = % 60.55/9.60 | | | | | | | | | | e11) & ~ (all_20_15 = e12) % 60.55/9.60 | | | | | | | | | | % 60.55/9.60 | | | | | | | | | | ALPHA: (94) implies: % 60.55/9.60 | | | | | | | | | | (95) all_20_14 = e12 % 60.55/9.60 | | | | | | | | | | (96) all_20_5 = e10 % 60.55/9.60 | | | | | | | | | | % 60.55/9.60 | | | | | | | | | | COMBINE_EQS: (11), (96) imply: % 60.55/9.60 | | | | | | | | | | (97) e13 = e10 % 60.55/9.60 | | | | | | | | | | % 60.55/9.60 | | | | | | | | | | SIMP: (97) implies: % 60.55/9.60 | | | | | | | | | | (98) e13 = e10 % 60.55/9.60 | | | | | | | | | | % 60.55/9.60 | | | | | | | | | | COMBINE_EQS: (55), (95) imply: % 60.55/9.60 | | | | | | | | | | (99) e13 = e12 % 60.55/9.60 | | | | | | | | | | % 60.55/9.60 | | | | | | | | | | SIMP: (99) implies: % 60.55/9.60 | | | | | | | | | | (100) e13 = e12 % 60.55/9.60 | | | | | | | | | | % 60.55/9.60 | | | | | | | | | | COMBINE_EQS: (98), (100) imply: % 60.55/9.60 | | | | | | | | | | (101) e12 = e10 % 60.55/9.60 | | | | | | | | | | % 60.55/9.60 | | | | | | | | | | REF_CLOSE: (4), (5), (18), (20), (56), (57), (58), (100), % 60.55/9.60 | | | | | | | | | | (101) are inconsistent by sub-proof #38. % 60.55/9.60 | | | | | | | | | | % 60.55/9.60 | | | | | | | | | End of split % 60.55/9.60 | | | | | | | | | % 60.55/9.60 | | | | | | | | End of split % 60.55/9.60 | | | | | | | | % 60.55/9.60 | | | | | | | End of split % 60.55/9.60 | | | | | | | % 60.55/9.60 | | | | | | End of split % 60.55/9.60 | | | | | | % 60.55/9.60 | | | | | Case 2: % 60.55/9.60 | | | | | | % 60.55/9.60 | | | | | | (102) (all_20_6 = e13 & all_20_12 = e11 & ~ (all_20_7 = e12) & % 60.55/9.60 | | | | | | ~ (all_20_10 = e11)) | (all_20_6 = e13 & all_20_15 = e11 % 60.55/9.60 | | | | | | & ~ (all_20_8 = e10) & ~ (all_20_10 = e11)) | (all_20_7 % 60.55/9.60 | | | | | | = e12 & all_20_10 = e11 & ~ (all_20_6 = e13) & ~ % 60.55/9.60 | | | | | | (all_20_12 = e11)) | (all_20_7 = e12 & all_20_15 = e11 & % 60.55/9.60 | | | | | | ~ (all_20_8 = e10) & ~ (all_20_12 = e11)) | (all_20_8 = % 60.55/9.60 | | | | | | e10 & all_20_10 = e11 & ~ (all_20_6 = e13) & ~ % 60.55/9.60 | | | | | | (all_20_15 = e11)) | (all_20_8 = e10 & all_20_12 = e11 & % 60.55/9.60 | | | | | | ~ (all_20_7 = e12) & ~ (all_20_15 = e11)) | (all_20_9 = % 60.55/9.60 | | | | | | e13 & all_20_12 = e10 & ~ (all_20_10 = e10) & ~ % 60.55/9.60 | | | | | | (all_20_11 = e12)) | (all_20_9 = e13 & all_20_14 = e10 & % 60.55/9.60 | | | | | | ~ (all_20_10 = e10) & ~ (all_20_13 = e11)) | (all_20_10 % 60.55/9.60 | | | | | | = e10 & all_20_11 = e12 & ~ (all_20_9 = e13) & ~ % 60.55/9.60 | | | | | | (all_20_12 = e10)) | (all_20_10 = e10 & all_20_13 = e11 & % 60.55/9.60 | | | | | | ~ (all_20_9 = e13) & ~ (all_20_14 = e10)) | (all_20_11 % 60.55/9.60 | | | | | | = e12 & all_20_14 = e10 & ~ (all_20_12 = e10) & ~ % 60.55/9.60 | | | | | | (all_20_13 = e11)) | (all_20_12 = e10 & all_20_13 = e11 & % 60.55/9.60 | | | | | | ~ (all_20_11 = e12) & ~ (all_20_14 = e10)) % 60.55/9.60 | | | | | | % 60.55/9.60 | | | | | | BETA: splitting (102) gives: % 60.55/9.60 | | | | | | % 60.55/9.60 | | | | | | Case 1: % 60.55/9.60 | | | | | | | % 60.55/9.60 | | | | | | | (103) (all_20_6 = e13 & all_20_12 = e11 & ~ (all_20_7 = e12) & % 60.55/9.60 | | | | | | | ~ (all_20_10 = e11)) | (all_20_6 = e13 & all_20_15 = % 60.55/9.60 | | | | | | | e11 & ~ (all_20_8 = e10) & ~ (all_20_10 = e11)) | % 60.55/9.60 | | | | | | | (all_20_7 = e12 & all_20_10 = e11 & ~ (all_20_6 = e13) & % 60.55/9.60 | | | | | | | ~ (all_20_12 = e11)) | (all_20_7 = e12 & all_20_15 = % 60.55/9.60 | | | | | | | e11 & ~ (all_20_8 = e10) & ~ (all_20_12 = e11)) | % 60.55/9.60 | | | | | | | (all_20_8 = e10 & all_20_10 = e11 & ~ (all_20_6 = e13) & % 60.55/9.60 | | | | | | | ~ (all_20_15 = e11)) | (all_20_8 = e10 & all_20_12 = % 60.55/9.60 | | | | | | | e11 & ~ (all_20_7 = e12) & ~ (all_20_15 = e11)) % 60.55/9.60 | | | | | | | % 60.55/9.60 | | | | | | | BETA: splitting (103) gives: % 60.55/9.60 | | | | | | | % 60.55/9.60 | | | | | | | Case 1: % 60.55/9.60 | | | | | | | | % 60.55/9.60 | | | | | | | | (104) (all_20_6 = e13 & all_20_12 = e11 & ~ (all_20_7 = e12) % 60.55/9.60 | | | | | | | | & ~ (all_20_10 = e11)) | (all_20_6 = e13 & all_20_15 % 60.55/9.60 | | | | | | | | = e11 & ~ (all_20_8 = e10) & ~ (all_20_10 = e11)) | % 60.55/9.60 | | | | | | | | (all_20_7 = e12 & all_20_10 = e11 & ~ (all_20_6 = e13) % 60.55/9.60 | | | | | | | | & ~ (all_20_12 = e11)) % 60.55/9.60 | | | | | | | | % 60.55/9.60 | | | | | | | | BETA: splitting (104) gives: % 60.55/9.60 | | | | | | | | % 60.55/9.60 | | | | | | | | Case 1: % 60.55/9.60 | | | | | | | | | % 60.55/9.60 | | | | | | | | | (105) all_20_6 = e13 & all_20_12 = e11 & ~ (all_20_7 = % 60.55/9.60 | | | | | | | | | e12) & ~ (all_20_10 = e11) % 60.55/9.60 | | | | | | | | | % 60.55/9.60 | | | | | | | | | REF_CLOSE: (39), (57), (105) are inconsistent by sub-proof % 60.55/9.60 | | | | | | | | | #36. % 60.55/9.60 | | | | | | | | | % 60.55/9.60 | | | | | | | | Case 2: % 60.55/9.60 | | | | | | | | | % 60.55/9.60 | | | | | | | | | (106) (all_20_6 = e13 & all_20_15 = e11 & ~ (all_20_8 = % 60.55/9.60 | | | | | | | | | e10) & ~ (all_20_10 = e11)) | (all_20_7 = e12 & % 60.55/9.60 | | | | | | | | | all_20_10 = e11 & ~ (all_20_6 = e13) & ~ % 60.55/9.60 | | | | | | | | | (all_20_12 = e11)) % 60.55/9.60 | | | | | | | | | % 60.55/9.60 | | | | | | | | | REF_CLOSE: (15), (25), (39), (57), (106) are inconsistent by % 60.55/9.60 | | | | | | | | | sub-proof #33. % 60.55/9.60 | | | | | | | | | % 60.55/9.60 | | | | | | | | End of split % 60.55/9.60 | | | | | | | | % 60.55/9.60 | | | | | | | Case 2: % 60.55/9.60 | | | | | | | | % 60.55/9.60 | | | | | | | | (107) (all_20_7 = e12 & all_20_15 = e11 & ~ (all_20_8 = e10) % 60.55/9.60 | | | | | | | | & ~ (all_20_12 = e11)) | (all_20_8 = e10 & all_20_10 % 60.55/9.60 | | | | | | | | = e11 & ~ (all_20_6 = e13) & ~ (all_20_15 = e11)) | % 60.55/9.60 | | | | | | | | (all_20_8 = e10 & all_20_12 = e11 & ~ (all_20_7 = e12) % 60.55/9.60 | | | | | | | | & ~ (all_20_15 = e11)) % 60.55/9.60 | | | | | | | | % 60.55/9.60 | | | | | | | | BETA: splitting (107) gives: % 60.55/9.60 | | | | | | | | % 60.55/9.60 | | | | | | | | Case 1: % 60.55/9.60 | | | | | | | | | % 60.55/9.60 | | | | | | | | | (108) all_20_7 = e12 & all_20_15 = e11 & ~ (all_20_8 = % 60.55/9.60 | | | | | | | | | e10) & ~ (all_20_12 = e11) % 60.55/9.60 | | | | | | | | | % 60.55/9.60 | | | | | | | | | ALPHA: (108) implies: % 60.55/9.60 | | | | | | | | | (109) all_20_7 = e12 % 60.55/9.60 | | | | | | | | | % 60.55/9.60 | | | | | | | | | REF_CLOSE: (15), (25), (109) are inconsistent by sub-proof % 60.55/9.60 | | | | | | | | | #34. % 60.55/9.60 | | | | | | | | | % 60.55/9.60 | | | | | | | | Case 2: % 60.55/9.60 | | | | | | | | | % 60.55/9.60 | | | | | | | | | (110) (all_20_8 = e10 & all_20_10 = e11 & ~ (all_20_6 = % 60.55/9.60 | | | | | | | | | e13) & ~ (all_20_15 = e11)) | (all_20_8 = e10 & % 60.55/9.60 | | | | | | | | | all_20_12 = e11 & ~ (all_20_7 = e12) & ~ % 60.55/9.60 | | | | | | | | | (all_20_15 = e11)) % 60.55/9.60 | | | | | | | | | % 60.55/9.60 | | | | | | | | | BETA: splitting (110) gives: % 60.55/9.60 | | | | | | | | | % 60.55/9.60 | | | | | | | | | Case 1: % 60.55/9.60 | | | | | | | | | | % 60.55/9.60 | | | | | | | | | | (111) all_20_8 = e10 & all_20_10 = e11 & ~ (all_20_6 = % 60.55/9.60 | | | | | | | | | | e13) & ~ (all_20_15 = e11) % 60.55/9.60 | | | | | | | | | | % 60.55/9.60 | | | | | | | | | | REF_CLOSE: (23), (25), (111) are inconsistent by sub-proof % 60.55/9.60 | | | | | | | | | | #60. % 60.55/9.60 | | | | | | | | | | % 60.55/9.60 | | | | | | | | | Case 2: % 60.55/9.60 | | | | | | | | | | % 60.55/9.60 | | | | | | | | | | (112) all_20_8 = e10 & all_20_12 = e11 & ~ (all_20_7 = % 60.55/9.60 | | | | | | | | | | e12) & ~ (all_20_15 = e11) % 60.55/9.60 | | | | | | | | | | % 60.55/9.60 | | | | | | | | | | ALPHA: (112) implies: % 60.55/9.60 | | | | | | | | | | (113) all_20_8 = e10 % 60.55/9.60 | | | | | | | | | | % 60.55/9.60 | | | | | | | | | | COMBINE_EQS: (23), (113) imply: % 60.55/9.60 | | | | | | | | | | (114) e12 = e10 % 60.55/9.60 | | | | | | | | | | % 60.55/9.60 | | | | | | | | | | REDUCE: (25), (114) imply: % 60.55/9.60 | | | | | | | | | | (115) $false % 60.55/9.60 | | | | | | | | | | % 60.55/9.60 | | | | | | | | | | CLOSE: (115) is inconsistent. % 60.55/9.60 | | | | | | | | | | % 60.55/9.60 | | | | | | | | | End of split % 60.55/9.60 | | | | | | | | | % 60.55/9.60 | | | | | | | | End of split % 60.55/9.60 | | | | | | | | % 60.55/9.60 | | | | | | | End of split % 60.55/9.60 | | | | | | | % 60.55/9.60 | | | | | | Case 2: % 60.55/9.60 | | | | | | | % 60.55/9.60 | | | | | | | (116) (all_20_9 = e13 & all_20_12 = e10 & ~ (all_20_10 = e10) % 60.55/9.60 | | | | | | | & ~ (all_20_11 = e12)) | (all_20_9 = e13 & all_20_14 = % 60.55/9.60 | | | | | | | e10 & ~ (all_20_10 = e10) & ~ (all_20_13 = e11)) | % 60.55/9.60 | | | | | | | (all_20_10 = e10 & all_20_11 = e12 & ~ (all_20_9 = e13) % 60.55/9.60 | | | | | | | & ~ (all_20_12 = e10)) | (all_20_10 = e10 & all_20_13 % 60.55/9.60 | | | | | | | = e11 & ~ (all_20_9 = e13) & ~ (all_20_14 = e10)) | % 60.55/9.60 | | | | | | | (all_20_11 = e12 & all_20_14 = e10 & ~ (all_20_12 = e10) % 60.55/9.60 | | | | | | | & ~ (all_20_13 = e11)) | (all_20_12 = e10 & all_20_13 % 60.55/9.60 | | | | | | | = e11 & ~ (all_20_11 = e12) & ~ (all_20_14 = e10)) % 60.55/9.60 | | | | | | | % 60.55/9.60 | | | | | | | BETA: splitting (116) gives: % 60.55/9.60 | | | | | | | % 60.55/9.60 | | | | | | | Case 1: % 60.55/9.60 | | | | | | | | % 60.55/9.60 | | | | | | | | (117) (all_20_9 = e13 & all_20_12 = e10 & ~ (all_20_10 = % 60.55/9.60 | | | | | | | | e10) & ~ (all_20_11 = e12)) | (all_20_9 = e13 & % 60.55/9.60 | | | | | | | | all_20_14 = e10 & ~ (all_20_10 = e10) & ~ % 60.55/9.60 | | | | | | | | (all_20_13 = e11)) | (all_20_10 = e10 & all_20_11 = % 60.55/9.60 | | | | | | | | e12 & ~ (all_20_9 = e13) & ~ (all_20_12 = e10)) % 60.55/9.60 | | | | | | | | % 60.55/9.60 | | | | | | | | BETA: splitting (117) gives: % 60.55/9.60 | | | | | | | | % 60.55/9.60 | | | | | | | | Case 1: % 60.55/9.60 | | | | | | | | | % 60.55/9.60 | | | | | | | | | (118) all_20_9 = e13 & all_20_12 = e10 & ~ (all_20_10 = % 60.55/9.60 | | | | | | | | | e10) & ~ (all_20_11 = e12) % 60.55/9.60 | | | | | | | | | % 60.55/9.60 | | | | | | | | | ALPHA: (118) implies: % 60.55/9.60 | | | | | | | | | (119) all_20_9 = e13 % 60.55/9.60 | | | | | | | | | % 60.55/9.60 | | | | | | | | | REF_CLOSE: (3), (56), (119) are inconsistent by sub-proof #56. % 60.55/9.60 | | | | | | | | | % 60.55/9.60 | | | | | | | | Case 2: % 60.55/9.60 | | | | | | | | | % 60.55/9.60 | | | | | | | | | (120) (all_20_9 = e13 & all_20_14 = e10 & ~ (all_20_10 = % 60.55/9.60 | | | | | | | | | e10) & ~ (all_20_13 = e11)) | (all_20_10 = e10 & % 60.55/9.60 | | | | | | | | | all_20_11 = e12 & ~ (all_20_9 = e13) & ~ % 60.55/9.60 | | | | | | | | | (all_20_12 = e10)) % 60.55/9.60 | | | | | | | | | % 60.55/9.60 | | | | | | | | | BETA: splitting (120) gives: % 60.55/9.60 | | | | | | | | | % 60.55/9.60 | | | | | | | | | Case 1: % 60.55/9.60 | | | | | | | | | | % 60.55/9.60 | | | | | | | | | | (121) all_20_9 = e13 & all_20_14 = e10 & ~ (all_20_10 = % 60.55/9.60 | | | | | | | | | | e10) & ~ (all_20_13 = e11) % 60.55/9.60 | | | | | | | | | | % 60.55/9.60 | | | | | | | | | | ALPHA: (121) implies: % 60.55/9.60 | | | | | | | | | | (122) all_20_14 = e10 % 60.55/9.60 | | | | | | | | | | % 60.55/9.60 | | | | | | | | | | COMBINE_EQS: (55), (122) imply: % 60.55/9.60 | | | | | | | | | | (123) e13 = e10 % 60.55/9.60 | | | | | | | | | | % 60.55/9.60 | | | | | | | | | | REF_CLOSE: (4), (5), (18), (20), (56), (57), (58), (123) are % 60.55/9.60 | | | | | | | | | | inconsistent by sub-proof #32. % 60.55/9.60 | | | | | | | | | | % 60.55/9.60 | | | | | | | | | Case 2: % 60.55/9.60 | | | | | | | | | | % 60.55/9.60 | | | | | | | | | | (124) all_20_10 = e10 & all_20_11 = e12 & ~ (all_20_9 = % 60.55/9.60 | | | | | | | | | | e13) & ~ (all_20_12 = e10) % 60.55/9.60 | | | | | | | | | | % 60.55/9.60 | | | | | | | | | | ALPHA: (124) implies: % 60.55/9.61 | | | | | | | | | | (125) all_20_10 = e10 % 60.55/9.61 | | | | | | | | | | % 60.55/9.61 | | | | | | | | | | COMBINE_EQS: (1), (125) imply: % 60.55/9.61 | | | | | | | | | | (126) e13 = e10 % 60.55/9.61 | | | | | | | | | | % 60.55/9.61 | | | | | | | | | | REF_CLOSE: (4), (5), (18), (20), (56), (57), (58), (126) are % 60.55/9.61 | | | | | | | | | | inconsistent by sub-proof #32. % 60.55/9.61 | | | | | | | | | | % 60.55/9.61 | | | | | | | | | End of split % 60.55/9.61 | | | | | | | | | % 60.55/9.61 | | | | | | | | End of split % 60.55/9.61 | | | | | | | | % 60.55/9.61 | | | | | | | Case 2: % 60.55/9.61 | | | | | | | | % 60.55/9.61 | | | | | | | | (127) (all_20_10 = e10 & all_20_13 = e11 & ~ (all_20_9 = % 60.55/9.61 | | | | | | | | e13) & ~ (all_20_14 = e10)) | (all_20_11 = e12 & % 60.55/9.61 | | | | | | | | all_20_14 = e10 & ~ (all_20_12 = e10) & ~ % 60.55/9.61 | | | | | | | | (all_20_13 = e11)) | (all_20_12 = e10 & all_20_13 = % 60.55/9.61 | | | | | | | | e11 & ~ (all_20_11 = e12) & ~ (all_20_14 = e10)) % 60.55/9.61 | | | | | | | | % 60.55/9.61 | | | | | | | | BETA: splitting (127) gives: % 60.55/9.61 | | | | | | | | % 60.55/9.61 | | | | | | | | Case 1: % 60.55/9.61 | | | | | | | | | % 60.55/9.61 | | | | | | | | | (128) all_20_10 = e10 & all_20_13 = e11 & ~ (all_20_9 = % 60.55/9.61 | | | | | | | | | e13) & ~ (all_20_14 = e10) % 60.55/9.61 | | | | | | | | | % 60.55/9.61 | | | | | | | | | ALPHA: (128) implies: % 60.55/9.61 | | | | | | | | | (129) all_20_10 = e10 % 60.55/9.61 | | | | | | | | | % 60.55/9.61 | | | | | | | | | COMBINE_EQS: (1), (129) imply: % 60.55/9.61 | | | | | | | | | (130) e13 = e10 % 60.55/9.61 | | | | | | | | | % 60.55/9.61 | | | | | | | | | REF_CLOSE: (4), (5), (18), (20), (56), (57), (58), (130) are % 60.55/9.61 | | | | | | | | | inconsistent by sub-proof #32. % 60.55/9.61 | | | | | | | | | % 60.55/9.61 | | | | | | | | Case 2: % 60.55/9.61 | | | | | | | | | % 60.55/9.61 | | | | | | | | | (131) (all_20_11 = e12 & all_20_14 = e10 & ~ (all_20_12 = % 60.55/9.61 | | | | | | | | | e10) & ~ (all_20_13 = e11)) | (all_20_12 = e10 & % 60.55/9.61 | | | | | | | | | all_20_13 = e11 & ~ (all_20_11 = e12) & ~ % 60.55/9.61 | | | | | | | | | (all_20_14 = e10)) % 60.55/9.61 | | | | | | | | | % 60.55/9.61 | | | | | | | | | BETA: splitting (131) gives: % 60.55/9.61 | | | | | | | | | % 60.55/9.61 | | | | | | | | | Case 1: % 60.55/9.61 | | | | | | | | | | % 60.55/9.61 | | | | | | | | | | (132) all_20_11 = e12 & all_20_14 = e10 & ~ (all_20_12 = % 60.55/9.61 | | | | | | | | | | e10) & ~ (all_20_13 = e11) % 60.55/9.61 | | | | | | | | | | % 60.55/9.61 | | | | | | | | | | ALPHA: (132) implies: % 60.55/9.61 | | | | | | | | | | (133) all_20_14 = e10 % 60.55/9.61 | | | | | | | | | | (134) all_20_11 = e12 % 60.55/9.61 | | | | | | | | | | % 60.55/9.61 | | | | | | | | | | COMBINE_EQS: (7), (134) imply: % 60.55/9.61 | | | | | | | | | | (135) e13 = e12 % 60.55/9.61 | | | | | | | | | | % 60.55/9.61 | | | | | | | | | | COMBINE_EQS: (55), (133) imply: % 60.55/9.61 | | | | | | | | | | (136) e13 = e10 % 60.55/9.61 | | | | | | | | | | % 60.55/9.61 | | | | | | | | | | SIMP: (136) implies: % 60.55/9.61 | | | | | | | | | | (137) e13 = e10 % 60.55/9.61 | | | | | | | | | | % 60.55/9.61 | | | | | | | | | | COMBINE_EQS: (135), (137) imply: % 60.55/9.61 | | | | | | | | | | (138) e12 = e10 % 60.55/9.61 | | | | | | | | | | % 60.55/9.61 | | | | | | | | | | REF_CLOSE: (4), (5), (18), (20), (56), (57), (58), (135), % 60.55/9.61 | | | | | | | | | | (138) are inconsistent by sub-proof #38. % 60.55/9.61 | | | | | | | | | | % 60.55/9.61 | | | | | | | | | Case 2: % 60.55/9.61 | | | | | | | | | | % 60.55/9.61 | | | | | | | | | | (139) all_20_12 = e10 & all_20_13 = e11 & ~ (all_20_11 = % 60.55/9.61 | | | | | | | | | | e12) & ~ (all_20_14 = e10) % 60.55/9.61 | | | | | | | | | | % 60.55/9.61 | | | | | | | | | | REF_CLOSE: (9), (44), (139) are inconsistent by sub-proof % 60.55/9.61 | | | | | | | | | | #53. % 60.55/9.61 | | | | | | | | | | % 60.55/9.61 | | | | | | | | | End of split % 60.55/9.61 | | | | | | | | | % 60.55/9.61 | | | | | | | | End of split % 60.55/9.61 | | | | | | | | % 60.55/9.61 | | | | | | | End of split % 60.55/9.61 | | | | | | | % 60.55/9.61 | | | | | | End of split % 60.55/9.61 | | | | | | % 60.55/9.61 | | | | | End of split % 60.55/9.61 | | | | | % 60.55/9.61 | | | | End of split % 60.55/9.61 | | | | % 60.55/9.61 | | | End of split % 60.55/9.61 | | | % 60.55/9.61 | | Case 2: % 60.55/9.61 | | | % 60.55/9.61 | | | (140) all_16_2 = e13 % 60.55/9.61 | | | % 60.55/9.61 | | | COMBINE_EQS: (17), (140) imply: % 60.55/9.61 | | | (141) all_12_8 = e13 % 60.55/9.61 | | | % 60.55/9.61 | | | REDUCE: (10), (141) imply: % 60.55/9.61 | | | (142) $false % 60.55/9.61 | | | % 60.55/9.61 | | | CLOSE: (142) is inconsistent. % 60.55/9.61 | | | % 60.55/9.61 | | End of split % 60.55/9.61 | | % 60.55/9.61 | End of split % 60.55/9.61 | % 60.55/9.61 End of proof % 60.55/9.61 % 60.55/9.61 Sub-proof #32 shows that the following formulas are inconsistent: % 60.55/9.61 ---------------------------------------------------------------- % 60.55/9.61 (1) ~ (e13 = e11) % 60.55/9.61 (2) all_24_15 = e11 % 60.55/9.61 (3) all_24_13 = e13 | all_24_14 = e13 | all_24_15 = e13 % 60.55/9.61 (4) all_24_13 = e13 % 60.55/9.61 (5) ~ (e13 = e10) % 60.55/9.61 (6) all_24_14 = e12 % 60.55/9.61 (7) e13 = e10 % 60.55/9.61 (8) ~ (e13 = e12) % 60.55/9.61 % 60.55/9.61 Begin of proof % 60.55/9.61 | % 60.55/9.61 | SIMP: (7) implies: % 60.55/9.61 | (9) e13 = e10 % 60.55/9.61 | % 60.55/9.61 | COMBINE_EQS: (4), (9) imply: % 60.55/9.61 | (10) all_24_13 = e10 % 60.55/9.61 | % 60.55/9.61 | REF_CLOSE: (1), (2), (3), (5), (6), (8), (10) are inconsistent by sub-proof % 60.55/9.61 | #48. % 60.55/9.61 | % 60.55/9.61 End of proof % 60.55/9.61 % 60.55/9.61 Sub-proof #33 shows that the following formulas are inconsistent: % 60.55/9.61 ---------------------------------------------------------------- % 60.55/9.61 (1) ~ (e13 = e11) % 60.55/9.61 (2) (all_20_6 = e13 & all_20_15 = e11 & ~ (all_20_8 = e10) & ~ (all_20_10 = % 60.55/9.61 e11)) | (all_20_7 = e12 & all_20_10 = e11 & ~ (all_20_6 = e13) & ~ % 60.55/9.61 (all_20_12 = e11)) % 60.55/9.61 (3) all_20_6 = e11 % 60.55/9.61 (4) all_20_7 = e10 % 60.55/9.61 (5) ~ (e12 = e10) % 60.55/9.61 % 60.55/9.61 Begin of proof % 60.55/9.61 | % 60.55/9.61 | BETA: splitting (2) gives: % 60.55/9.61 | % 60.55/9.61 | Case 1: % 60.55/9.61 | | % 60.55/9.61 | | (6) all_20_6 = e13 & all_20_15 = e11 & ~ (all_20_8 = e10) & ~ % 60.55/9.61 | | (all_20_10 = e11) % 60.55/9.61 | | % 60.55/9.61 | | REF_CLOSE: (1), (3), (6) are inconsistent by sub-proof #35. % 60.55/9.61 | | % 60.55/9.61 | Case 2: % 60.55/9.61 | | % 60.55/9.61 | | (7) all_20_7 = e12 & all_20_10 = e11 & ~ (all_20_6 = e13) & ~ % 60.55/9.61 | | (all_20_12 = e11) % 60.55/9.61 | | % 60.55/9.61 | | ALPHA: (7) implies: % 60.55/9.61 | | (8) all_20_7 = e12 % 60.55/9.61 | | % 60.55/9.61 | | REF_CLOSE: (4), (5), (8) are inconsistent by sub-proof #34. % 60.55/9.61 | | % 60.55/9.61 | End of split % 60.55/9.61 | % 60.55/9.61 End of proof % 60.55/9.61 % 60.55/9.61 Sub-proof #34 shows that the following formulas are inconsistent: % 60.55/9.61 ---------------------------------------------------------------- % 60.55/9.61 (1) all_20_7 = e12 % 60.55/9.61 (2) all_20_7 = e10 % 60.55/9.61 (3) ~ (e12 = e10) % 60.55/9.61 % 60.55/9.61 Begin of proof % 60.55/9.61 | % 60.55/9.61 | COMBINE_EQS: (1), (2) imply: % 60.55/9.61 | (4) e12 = e10 % 60.55/9.61 | % 60.55/9.61 | SIMP: (4) implies: % 60.55/9.61 | (5) e12 = e10 % 60.55/9.61 | % 60.55/9.61 | REDUCE: (3), (5) imply: % 60.55/9.61 | (6) $false % 60.55/9.61 | % 60.55/9.61 | CLOSE: (6) is inconsistent. % 60.55/9.61 | % 60.55/9.61 End of proof % 60.55/9.61 % 60.55/9.61 Sub-proof #35 shows that the following formulas are inconsistent: % 60.55/9.61 ---------------------------------------------------------------- % 60.55/9.61 (1) all_20_6 = e13 & all_20_15 = e11 & ~ (all_20_8 = e10) & ~ (all_20_10 = % 60.55/9.61 e11) % 60.55/9.61 (2) all_20_6 = e11 % 60.55/9.61 (3) ~ (e13 = e11) % 60.55/9.61 % 60.55/9.61 Begin of proof % 60.55/9.61 | % 60.55/9.61 | ALPHA: (1) implies: % 60.55/9.61 | (4) all_20_6 = e13 % 60.55/9.61 | % 60.55/9.61 | COMBINE_EQS: (2), (4) imply: % 60.55/9.61 | (5) e13 = e11 % 60.55/9.61 | % 60.55/9.61 | REDUCE: (3), (5) imply: % 60.55/9.61 | (6) $false % 60.55/9.61 | % 60.55/9.61 | CLOSE: (6) is inconsistent. % 60.55/9.61 | % 60.55/9.61 End of proof % 60.55/9.61 % 60.55/9.61 Sub-proof #36 shows that the following formulas are inconsistent: % 60.55/9.61 ---------------------------------------------------------------- % 60.55/9.61 (1) all_20_6 = e13 & all_20_12 = e11 & ~ (all_20_7 = e12) & ~ (all_20_10 = % 60.55/9.61 e11) % 60.55/9.61 (2) all_20_6 = e11 % 60.55/9.61 (3) ~ (e13 = e11) % 60.55/9.61 % 60.55/9.61 Begin of proof % 60.55/9.61 | % 60.55/9.61 | ALPHA: (1) implies: % 60.55/9.61 | (4) all_20_6 = e13 % 60.55/9.61 | % 60.55/9.61 | COMBINE_EQS: (2), (4) imply: % 60.55/9.61 | (5) e13 = e11 % 60.55/9.61 | % 60.55/9.61 | REDUCE: (3), (5) imply: % 60.55/9.61 | (6) $false % 60.55/9.61 | % 60.55/9.61 | CLOSE: (6) is inconsistent. % 60.55/9.61 | % 60.55/9.61 End of proof % 60.55/9.61 % 60.55/9.61 Sub-proof #37 shows that the following formulas are inconsistent: % 60.55/9.61 ---------------------------------------------------------------- % 60.55/9.61 (1) all_20_10 = e13 % 60.55/9.61 (2) all_20_10 = e12 % 60.55/9.61 (3) ~ (e13 = e11) % 60.55/9.61 (4) all_24_15 = e11 % 60.55/9.61 (5) all_24_13 = e13 | all_24_14 = e13 | all_24_15 = e13 % 60.55/9.61 (6) all_24_13 = e13 % 60.55/9.61 (7) ~ (e13 = e10) % 60.55/9.61 (8) e13 = e10 % 60.55/9.61 (9) all_24_14 = e12 % 60.55/9.61 (10) ~ (e13 = e12) % 60.55/9.61 % 60.55/9.61 Begin of proof % 60.55/9.61 | % 60.55/9.61 | COMBINE_EQS: (1), (2) imply: % 60.55/9.61 | (11) e13 = e12 % 60.55/9.61 | % 60.55/9.61 | SIMP: (11) implies: % 60.55/9.61 | (12) e13 = e12 % 60.55/9.61 | % 60.55/9.61 | COMBINE_EQS: (8), (12) imply: % 60.55/9.61 | (13) e12 = e10 % 60.55/9.61 | % 60.55/9.61 | REF_CLOSE: (3), (4), (5), (6), (7), (9), (10), (12), (13) are inconsistent by % 60.55/9.61 | sub-proof #38. % 60.55/9.61 | % 60.55/9.61 End of proof % 60.55/9.61 % 60.55/9.61 Sub-proof #38 shows that the following formulas are inconsistent: % 60.55/9.61 ---------------------------------------------------------------- % 60.55/9.61 (1) ~ (e13 = e11) % 60.55/9.61 (2) all_24_15 = e11 % 60.55/9.61 (3) all_24_13 = e13 | all_24_14 = e13 | all_24_15 = e13 % 60.55/9.61 (4) all_24_13 = e13 % 60.55/9.61 (5) ~ (e13 = e10) % 60.55/9.61 (6) all_24_14 = e12 % 60.55/9.61 (7) e12 = e10 % 60.55/9.61 (8) ~ (e13 = e12) % 60.55/9.61 (9) e13 = e12 % 60.55/9.61 % 60.55/9.61 Begin of proof % 60.55/9.61 | % 60.55/9.61 | COMBINE_EQS: (7), (9) imply: % 60.55/9.61 | (10) e13 = e10 % 60.55/9.61 | % 60.55/9.61 | COMBINE_EQS: (4), (10) imply: % 60.55/9.61 | (11) all_24_13 = e10 % 60.55/9.61 | % 60.55/9.61 | REF_CLOSE: (1), (2), (3), (5), (6), (8), (11) are inconsistent by sub-proof % 60.55/9.61 | #48. % 60.55/9.61 | % 60.55/9.61 End of proof % 60.55/9.61 % 60.55/9.61 Sub-proof #39 shows that the following formulas are inconsistent: % 60.55/9.61 ---------------------------------------------------------------- % 60.55/9.61 (1) all_20_4 = e11 & all_20_10 = e12 & ~ (all_20_3 = e13) & ~ (all_20_14 = % 60.55/9.61 e12) % 60.55/9.61 (2) all_20_10 = e13 % 60.55/9.61 (3) ~ (e13 = e12) % 60.55/9.61 % 60.55/9.61 Begin of proof % 60.55/9.61 | % 60.55/9.61 | ALPHA: (1) implies: % 60.55/9.61 | (4) all_20_10 = e12 % 60.55/9.61 | % 60.55/9.61 | COMBINE_EQS: (2), (4) imply: % 60.55/9.61 | (5) e13 = e12 % 60.55/9.61 | % 60.55/9.61 | SIMP: (5) implies: % 60.55/9.61 | (6) e13 = e12 % 60.55/9.61 | % 60.55/9.61 | REDUCE: (3), (6) imply: % 60.55/9.61 | (7) $false % 60.55/9.61 | % 60.55/9.61 | CLOSE: (7) is inconsistent. % 60.55/9.61 | % 60.55/9.61 End of proof % 60.55/9.61 % 60.55/9.61 Sub-proof #40 shows that the following formulas are inconsistent: % 60.55/9.61 ---------------------------------------------------------------- % 60.55/9.61 (1) ~ (e13 = e11) % 60.55/9.61 (2) all_24_15 = e11 % 60.55/9.61 (3) all_24_13 = e13 | all_24_14 = e13 | all_24_15 = e13 % 60.55/9.61 (4) all_20_3 = e10 % 60.55/9.61 (5) all_24_13 = e13 % 60.55/9.61 (6) all_20_3 = e13 % 60.55/9.61 (7) ~ (e13 = e10) % 60.55/9.61 (8) all_24_14 = e12 % 60.55/9.61 (9) ~ (e13 = e12) % 60.55/9.61 % 60.55/9.61 Begin of proof % 60.55/9.61 | % 60.55/9.61 | COMBINE_EQS: (4), (6) imply: % 60.55/9.61 | (10) e13 = e10 % 60.55/9.61 | % 60.55/9.61 | COMBINE_EQS: (5), (10) imply: % 60.55/9.61 | (11) all_24_13 = e10 % 60.55/9.61 | % 60.55/9.61 | REF_CLOSE: (1), (2), (3), (7), (8), (9), (11) are inconsistent by sub-proof % 60.55/9.61 | #48. % 60.55/9.61 | % 60.55/9.61 End of proof % 60.55/9.61 % 60.55/9.61 Sub-proof #41 shows that the following formulas are inconsistent: % 60.55/9.61 ---------------------------------------------------------------- % 60.55/9.61 (1) all_20_12 = all_12_5 % 60.55/9.61 (2) all_20_12 = e13 % 60.55/9.61 (3) ~ (all_12_5 = e13) % 60.55/9.61 % 60.55/9.61 Begin of proof % 60.55/9.61 | % 60.55/9.61 | COMBINE_EQS: (1), (2) imply: % 60.55/9.61 | (4) all_12_5 = e13 % 60.55/9.61 | % 60.55/9.61 | SIMP: (4) implies: % 60.55/9.61 | (5) all_12_5 = e13 % 60.55/9.61 | % 60.55/9.61 | REDUCE: (3), (5) imply: % 60.55/9.61 | (6) $false % 60.55/9.61 | % 60.55/9.61 | CLOSE: (6) is inconsistent. % 60.55/9.61 | % 60.55/9.61 End of proof % 60.55/9.61 % 60.55/9.61 Sub-proof #42 shows that the following formulas are inconsistent: % 60.55/9.61 ---------------------------------------------------------------- % 60.55/9.61 (1) ~ (all_20_1 = e11) % 60.55/9.61 (2) all_20_1 = all_12_2 % 60.55/9.61 (3) ~ (all_20_14 = e13) | all_20_1 = e11 % 60.55/9.61 (4) all_20_14 = e13 % 60.55/9.61 % 60.55/9.61 Begin of proof % 60.55/9.61 | % 60.55/9.61 | REDUCE: (1), (2) imply: % 60.55/9.61 | (5) ~ (all_12_2 = e11) % 60.55/9.61 | % 60.55/9.61 | BETA: splitting (3) gives: % 60.55/9.61 | % 60.55/9.61 | Case 1: % 60.55/9.61 | | % 60.55/9.61 | | (6) ~ (all_20_14 = e13) % 60.55/9.61 | | % 60.55/9.61 | | REDUCE: (4), (6) imply: % 60.55/9.61 | | (7) $false % 60.55/9.61 | | % 60.55/9.61 | | CLOSE: (7) is inconsistent. % 60.55/9.61 | | % 60.55/9.61 | Case 2: % 60.55/9.61 | | % 60.55/9.61 | | (8) all_20_1 = e11 % 60.55/9.61 | | % 60.55/9.61 | | COMBINE_EQS: (2), (8) imply: % 60.55/9.61 | | (9) all_12_2 = e11 % 60.55/9.61 | | % 60.55/9.61 | | SIMP: (9) implies: % 60.55/9.61 | | (10) all_12_2 = e11 % 60.55/9.61 | | % 60.55/9.61 | | REDUCE: (5), (10) imply: % 60.55/9.61 | | (11) $false % 60.55/9.61 | | % 60.55/9.61 | | CLOSE: (11) is inconsistent. % 60.55/9.61 | | % 60.55/9.61 | End of split % 60.55/9.61 | % 60.55/9.61 End of proof % 60.55/9.61 % 60.55/9.61 Sub-proof #43 shows that the following formulas are inconsistent: % 60.55/9.61 ---------------------------------------------------------------- % 60.55/9.61 (1) all_18_4 = all_14_1 % 60.55/9.61 (2) all_18_4 = e22 % 60.55/9.61 (3) ~ (all_14_1 = e22) % 60.55/9.61 % 60.55/9.61 Begin of proof % 60.55/9.61 | % 60.55/9.61 | COMBINE_EQS: (1), (2) imply: % 60.55/9.61 | (4) all_14_1 = e22 % 60.55/9.61 | % 60.55/9.61 | SIMP: (4) implies: % 60.55/9.61 | (5) all_14_1 = e22 % 60.55/9.61 | % 60.55/9.61 | REDUCE: (3), (5) imply: % 60.55/9.61 | (6) $false % 60.55/9.61 | % 60.55/9.61 | CLOSE: (6) is inconsistent. % 60.55/9.61 | % 60.55/9.61 End of proof % 60.55/9.61 % 60.55/9.61 Sub-proof #44 shows that the following formulas are inconsistent: % 60.55/9.61 ---------------------------------------------------------------- % 60.55/9.61 (1) all_22_0 = e22 & all_22_14 = e23 & ~ (all_22_1 = e21) & ~ (all_22_12 = % 60.55/9.61 e23) % 60.55/9.61 (2) all_22_0 = all_14_1 % 60.55/9.61 (3) ~ (all_14_1 = e22) % 60.55/9.61 % 60.55/9.61 Begin of proof % 60.55/9.61 | % 60.55/9.61 | ALPHA: (1) implies: % 60.55/9.61 | (4) all_22_0 = e22 % 60.55/9.61 | % 60.55/9.61 | COMBINE_EQS: (2), (4) imply: % 60.55/9.61 | (5) all_14_1 = e22 % 60.55/9.61 | % 60.55/9.61 | SIMP: (5) implies: % 60.55/9.61 | (6) all_14_1 = e22 % 60.55/9.61 | % 60.55/9.61 | REDUCE: (3), (6) imply: % 60.55/9.61 | (7) $false % 60.55/9.61 | % 60.55/9.61 | CLOSE: (7) is inconsistent. % 60.55/9.61 | % 60.55/9.61 End of proof % 60.55/9.61 % 60.55/9.61 Sub-proof #45 shows that the following formulas are inconsistent: % 60.55/9.61 ---------------------------------------------------------------- % 60.55/9.61 (1) all_16_13 = all_12_7 % 60.55/9.61 (2) all_16_13 = e11 % 60.55/9.61 (3) ~ (all_12_7 = e11) % 60.55/9.61 % 60.55/9.61 Begin of proof % 60.55/9.61 | % 60.55/9.61 | COMBINE_EQS: (1), (2) imply: % 60.55/9.61 | (4) all_12_7 = e11 % 60.55/9.61 | % 60.55/9.61 | SIMP: (4) implies: % 60.55/9.61 | (5) all_12_7 = e11 % 60.55/9.61 | % 60.55/9.61 | REDUCE: (3), (5) imply: % 60.55/9.61 | (6) $false % 60.55/9.61 | % 60.55/9.61 | CLOSE: (6) is inconsistent. % 60.55/9.61 | % 60.55/9.61 End of proof % 60.55/9.61 % 60.55/9.61 Sub-proof #46 shows that the following formulas are inconsistent: % 60.55/9.61 ---------------------------------------------------------------- % 60.55/9.61 (1) all_16_13 = all_12_7 % 60.55/9.61 (2) all_16_13 = e12 % 60.55/9.61 (3) ~ (all_12_7 = e12) % 60.55/9.61 % 60.55/9.61 Begin of proof % 60.55/9.61 | % 60.55/9.61 | COMBINE_EQS: (1), (2) imply: % 60.55/9.61 | (4) all_12_7 = e12 % 60.55/9.61 | % 60.55/9.61 | SIMP: (4) implies: % 60.55/9.61 | (5) all_12_7 = e12 % 60.55/9.61 | % 60.55/9.61 | REDUCE: (3), (5) imply: % 60.55/9.61 | (6) $false % 60.55/9.61 | % 60.55/9.61 | CLOSE: (6) is inconsistent. % 60.55/9.61 | % 60.55/9.61 End of proof % 60.55/9.61 % 60.55/9.61 Sub-proof #47 shows that the following formulas are inconsistent: % 60.55/9.61 ---------------------------------------------------------------- % 60.55/9.61 (1) all_24_15 = e11 % 60.55/9.61 (2) all_24_15 = e10 % 60.55/9.61 (3) ~ (e11 = e10) % 60.55/9.61 % 60.55/9.61 Begin of proof % 60.55/9.61 | % 60.55/9.61 | COMBINE_EQS: (1), (2) imply: % 60.55/9.61 | (4) e11 = e10 % 60.55/9.61 | % 60.55/9.61 | SIMP: (4) implies: % 60.55/9.61 | (5) e11 = e10 % 60.55/9.61 | % 60.55/9.61 | REDUCE: (3), (5) imply: % 60.55/9.61 | (6) $false % 60.55/9.61 | % 60.55/9.61 | CLOSE: (6) is inconsistent. % 60.55/9.61 | % 60.55/9.61 End of proof % 60.55/9.61 % 60.55/9.61 Sub-proof #48 shows that the following formulas are inconsistent: % 60.55/9.61 ---------------------------------------------------------------- % 60.55/9.61 (1) ~ (e13 = e11) % 60.55/9.61 (2) all_24_15 = e11 % 60.55/9.61 (3) all_24_13 = e13 | all_24_14 = e13 | all_24_15 = e13 % 60.55/9.61 (4) all_24_13 = e10 % 60.55/9.61 (5) ~ (e13 = e10) % 60.55/9.61 (6) all_24_14 = e12 % 60.55/9.61 (7) ~ (e13 = e12) % 60.55/9.61 % 60.55/9.61 Begin of proof % 60.55/9.61 | % 60.55/9.61 | BETA: splitting (3) gives: % 60.55/9.61 | % 60.55/9.61 | Case 1: % 60.55/9.61 | | % 60.55/9.61 | | (8) all_24_13 = e13 % 60.55/9.61 | | % 60.55/9.61 | | COMBINE_EQS: (4), (8) imply: % 60.55/9.61 | | (9) e13 = e10 % 60.55/9.61 | | % 60.55/9.61 | | REDUCE: (5), (9) imply: % 60.55/9.61 | | (10) $false % 60.55/9.61 | | % 60.55/9.61 | | CLOSE: (10) is inconsistent. % 60.55/9.61 | | % 60.55/9.61 | Case 2: % 60.55/9.61 | | % 60.55/9.61 | | (11) all_24_14 = e13 | all_24_15 = e13 % 60.55/9.61 | | % 60.55/9.61 | | REF_CLOSE: (1), (2), (6), (7), (11) are inconsistent by sub-proof #49. % 60.55/9.61 | | % 60.55/9.61 | End of split % 60.55/9.61 | % 60.55/9.61 End of proof % 60.55/9.61 % 60.55/9.61 Sub-proof #49 shows that the following formulas are inconsistent: % 60.55/9.61 ---------------------------------------------------------------- % 60.55/9.61 (1) ~ (e13 = e11) % 60.55/9.61 (2) all_24_15 = e11 % 60.55/9.61 (3) all_24_14 = e13 | all_24_15 = e13 % 60.55/9.61 (4) all_24_14 = e12 % 60.55/9.61 (5) ~ (e13 = e12) % 60.55/9.61 % 60.55/9.61 Begin of proof % 60.55/9.61 | % 60.55/9.61 | BETA: splitting (3) gives: % 60.55/9.61 | % 60.55/9.61 | Case 1: % 60.55/9.61 | | % 60.55/9.61 | | (6) all_24_14 = e13 % 60.55/9.61 | | % 60.55/9.61 | | COMBINE_EQS: (4), (6) imply: % 60.55/9.61 | | (7) e13 = e12 % 60.55/9.61 | | % 60.55/9.61 | | REDUCE: (5), (7) imply: % 60.55/9.61 | | (8) $false % 60.55/9.61 | | % 60.55/9.61 | | CLOSE: (8) is inconsistent. % 60.55/9.61 | | % 60.55/9.61 | Case 2: % 60.55/9.61 | | % 60.55/9.61 | | (9) all_24_15 = e13 % 60.55/9.61 | | % 60.55/9.61 | | COMBINE_EQS: (2), (9) imply: % 60.55/9.61 | | (10) e13 = e11 % 60.55/9.61 | | % 60.55/9.61 | | REDUCE: (1), (10) imply: % 60.55/9.61 | | (11) $false % 60.55/9.61 | | % 60.55/9.61 | | CLOSE: (11) is inconsistent. % 60.55/9.61 | | % 60.55/9.61 | End of split % 60.55/9.61 | % 60.55/9.61 End of proof % 60.55/9.61 % 60.55/9.61 Sub-proof #50 shows that the following formulas are inconsistent: % 60.55/9.61 ---------------------------------------------------------------- % 60.55/9.61 (1) all_20_15 = e11 % 60.55/9.61 (2) ~ (e11 = e10) % 60.55/9.61 (3) (all_20_14 = e11 & ( ~ (all_20_10 = e11) | all_20_6 = e13) & ( ~ % 60.55/9.61 (all_20_12 = e11) | all_20_7 = e12) & ( ~ (all_20_15 = e11) | % 60.55/9.61 all_20_8 = e10)) | (all_20_15 = e10 & ( ~ (all_20_10 = e10) | % 60.55/9.61 all_20_9 = e13) & ( ~ (all_20_12 = e10) | all_20_11 = e12) & ( ~ % 60.55/9.61 (all_20_14 = e10) | all_20_13 = e11)) % 60.55/9.61 (4) all_20_8 = e12 % 60.55/9.61 (5) ~ (e12 = e10) % 60.55/9.61 % 60.55/9.61 Begin of proof % 60.55/9.61 | % 60.55/9.61 | BETA: splitting (3) gives: % 60.55/9.61 | % 60.55/9.61 | Case 1: % 60.55/9.61 | | % 60.55/9.61 | | (6) all_20_14 = e11 & ( ~ (all_20_10 = e11) | all_20_6 = e13) & ( ~ % 60.55/9.61 | | (all_20_12 = e11) | all_20_7 = e12) & ( ~ (all_20_15 = e11) | % 60.55/9.61 | | all_20_8 = e10) % 60.55/9.61 | | % 60.55/9.61 | | REF_CLOSE: (1), (4), (5), (6) are inconsistent by sub-proof #51. % 60.55/9.61 | | % 60.55/9.61 | Case 2: % 60.55/9.61 | | % 60.55/9.61 | | (7) all_20_15 = e10 & ( ~ (all_20_10 = e10) | all_20_9 = e13) & ( ~ % 60.55/9.61 | | (all_20_12 = e10) | all_20_11 = e12) & ( ~ (all_20_14 = e10) | % 60.55/9.61 | | all_20_13 = e11) % 60.55/9.61 | | % 60.55/9.61 | | ALPHA: (7) implies: % 60.55/9.61 | | (8) all_20_15 = e10 % 60.55/9.61 | | % 60.55/9.61 | | COMBINE_EQS: (1), (8) imply: % 60.55/9.61 | | (9) e11 = e10 % 60.55/9.61 | | % 60.55/9.61 | | SIMP: (9) implies: % 60.55/9.61 | | (10) e11 = e10 % 60.55/9.61 | | % 60.55/9.61 | | REDUCE: (2), (10) imply: % 60.55/9.61 | | (11) $false % 60.55/9.61 | | % 60.55/9.61 | | CLOSE: (11) is inconsistent. % 60.55/9.61 | | % 60.55/9.61 | End of split % 60.55/9.61 | % 60.55/9.61 End of proof % 60.55/9.61 % 60.55/9.61 Sub-proof #51 shows that the following formulas are inconsistent: % 60.55/9.61 ---------------------------------------------------------------- % 60.55/9.61 (1) all_20_14 = e11 & ( ~ (all_20_10 = e11) | all_20_6 = e13) & ( ~ % 60.55/9.61 (all_20_12 = e11) | all_20_7 = e12) & ( ~ (all_20_15 = e11) | all_20_8 % 60.55/9.61 = e10) % 60.55/9.61 (2) all_20_15 = e11 % 60.55/9.61 (3) all_20_8 = e12 % 60.55/9.61 (4) ~ (e12 = e10) % 60.55/9.61 % 60.55/9.61 Begin of proof % 60.55/9.61 | % 60.55/9.61 | ALPHA: (1) implies: % 60.55/9.61 | (5) ~ (all_20_15 = e11) | all_20_8 = e10 % 60.55/9.61 | % 60.55/9.61 | BETA: splitting (5) gives: % 60.55/9.61 | % 60.55/9.61 | Case 1: % 60.55/9.61 | | % 60.55/9.61 | | (6) ~ (all_20_15 = e11) % 60.55/9.61 | | % 60.55/9.61 | | REDUCE: (2), (6) imply: % 60.55/9.61 | | (7) $false % 60.55/9.61 | | % 60.55/9.61 | | CLOSE: (7) is inconsistent. % 60.55/9.61 | | % 60.55/9.61 | Case 2: % 60.55/9.61 | | % 60.55/9.61 | | (8) all_20_8 = e10 % 60.55/9.61 | | % 60.55/9.61 | | COMBINE_EQS: (3), (8) imply: % 60.55/9.61 | | (9) e12 = e10 % 60.55/9.61 | | % 60.55/9.61 | | SIMP: (9) implies: % 60.55/9.61 | | (10) e12 = e10 % 60.55/9.61 | | % 60.55/9.61 | | REDUCE: (4), (10) imply: % 60.55/9.61 | | (11) $false % 60.55/9.61 | | % 60.55/9.61 | | CLOSE: (11) is inconsistent. % 60.55/9.61 | | % 60.55/9.61 | End of split % 60.55/9.61 | % 60.55/9.61 End of proof % 60.55/9.61 % 60.55/9.61 Sub-proof #52 shows that the following formulas are inconsistent: % 60.55/9.61 ---------------------------------------------------------------- % 60.55/9.61 (1) all_24_12 = e13 % 60.55/9.61 (2) all_24_12 = e12 % 60.55/9.61 (3) ~ (e13 = e12) % 60.55/9.61 % 60.55/9.61 Begin of proof % 60.55/9.61 | % 60.55/9.61 | COMBINE_EQS: (1), (2) imply: % 60.55/9.61 | (4) e13 = e12 % 60.55/9.61 | % 60.55/9.61 | SIMP: (4) implies: % 60.55/9.62 | (5) e13 = e12 % 60.55/9.62 | % 60.55/9.62 | REDUCE: (3), (5) imply: % 60.55/9.62 | (6) $false % 60.55/9.62 | % 60.55/9.62 | CLOSE: (6) is inconsistent. % 60.55/9.62 | % 60.55/9.62 End of proof % 60.55/9.62 % 60.55/9.62 Sub-proof #53 shows that the following formulas are inconsistent: % 60.55/9.62 ---------------------------------------------------------------- % 60.55/9.62 (1) all_20_12 = e10 & all_20_13 = e11 & ~ (all_20_11 = e12) & ~ (all_20_14 % 60.55/9.62 = e10) % 60.55/9.62 (2) all_20_13 = e10 % 60.55/9.62 (3) ~ (e11 = e10) % 60.55/9.62 % 60.55/9.62 Begin of proof % 60.55/9.62 | % 60.55/9.62 | ALPHA: (1) implies: % 60.55/9.62 | (4) all_20_13 = e11 % 60.55/9.62 | % 60.55/9.62 | COMBINE_EQS: (2), (4) imply: % 60.55/9.62 | (5) e11 = e10 % 60.55/9.62 | % 60.55/9.62 | REDUCE: (3), (5) imply: % 60.55/9.62 | (6) $false % 60.55/9.62 | % 60.55/9.62 | CLOSE: (6) is inconsistent. % 60.55/9.62 | % 60.55/9.62 End of proof % 60.55/9.62 % 60.55/9.62 Sub-proof #54 shows that the following formulas are inconsistent: % 60.55/9.62 ---------------------------------------------------------------- % 60.55/9.62 (1) all_20_11 = e12 & all_20_14 = e10 & ~ (all_20_12 = e10) & ~ (all_20_13 % 60.55/9.62 = e11) % 60.55/9.62 (2) all_20_11 = e13 % 60.55/9.62 (3) ~ (e13 = e12) % 60.55/9.62 % 60.55/9.62 Begin of proof % 60.55/9.62 | % 60.55/9.62 | ALPHA: (1) implies: % 60.55/9.62 | (4) all_20_11 = e12 % 60.55/9.62 | % 60.55/9.62 | COMBINE_EQS: (2), (4) imply: % 60.55/9.62 | (5) e13 = e12 % 60.55/9.62 | % 60.55/9.62 | REDUCE: (3), (5) imply: % 60.55/9.62 | (6) $false % 60.55/9.62 | % 60.55/9.62 | CLOSE: (6) is inconsistent. % 60.55/9.62 | % 60.55/9.62 End of proof % 60.55/9.62 % 60.55/9.62 Sub-proof #55 shows that the following formulas are inconsistent: % 60.55/9.62 ---------------------------------------------------------------- % 60.55/9.62 (1) all_20_11 = e13 % 60.55/9.62 (2) all_20_11 = e12 % 60.55/9.62 (3) ~ (e13 = e12) % 60.55/9.62 % 60.55/9.62 Begin of proof % 60.55/9.62 | % 60.55/9.62 | COMBINE_EQS: (1), (2) imply: % 60.55/9.62 | (4) e13 = e12 % 60.55/9.62 | % 60.55/9.62 | SIMP: (4) implies: % 60.55/9.62 | (5) e13 = e12 % 60.55/9.62 | % 60.55/9.62 | REDUCE: (3), (5) imply: % 60.55/9.62 | (6) $false % 60.55/9.62 | % 60.55/9.62 | CLOSE: (6) is inconsistent. % 60.55/9.62 | % 60.55/9.62 End of proof % 60.55/9.62 % 60.55/9.62 Sub-proof #56 shows that the following formulas are inconsistent: % 60.55/9.62 ---------------------------------------------------------------- % 60.55/9.62 (1) all_20_9 = e13 % 60.55/9.62 (2) all_20_9 = e12 % 60.55/9.62 (3) ~ (e13 = e12) % 60.55/9.62 % 60.55/9.62 Begin of proof % 60.55/9.62 | % 60.55/9.62 | COMBINE_EQS: (1), (2) imply: % 60.55/9.62 | (4) e13 = e12 % 60.55/9.62 | % 60.55/9.62 | SIMP: (4) implies: % 60.55/9.62 | (5) e13 = e12 % 60.55/9.62 | % 60.55/9.62 | REDUCE: (3), (5) imply: % 60.55/9.62 | (6) $false % 60.55/9.62 | % 60.55/9.62 | CLOSE: (6) is inconsistent. % 60.55/9.62 | % 60.55/9.62 End of proof % 60.55/9.62 % 60.55/9.62 Sub-proof #57 shows that the following formulas are inconsistent: % 60.55/9.62 ---------------------------------------------------------------- % 60.55/9.62 (1) all_20_12 = e12 % 60.55/9.62 (2) all_20_12 = e10 % 60.55/9.62 (3) ~ (e12 = e10) % 60.55/9.62 % 60.55/9.62 Begin of proof % 60.55/9.62 | % 60.55/9.62 | COMBINE_EQS: (1), (2) imply: % 60.55/9.62 | (4) e12 = e10 % 60.55/9.62 | % 60.55/9.62 | SIMP: (4) implies: % 60.55/9.62 | (5) e12 = e10 % 60.55/9.62 | % 60.55/9.62 | REDUCE: (3), (5) imply: % 60.55/9.62 | (6) $false % 60.55/9.62 | % 60.55/9.62 | CLOSE: (6) is inconsistent. % 60.55/9.62 | % 60.55/9.62 End of proof % 60.55/9.62 % 60.55/9.62 Sub-proof #58 shows that the following formulas are inconsistent: % 60.55/9.62 ---------------------------------------------------------------- % 60.55/9.62 (1) all_20_8 = e10 & all_20_12 = e11 & ~ (all_20_7 = e12) & ~ (all_20_15 = % 60.55/9.62 e11) % 60.55/9.62 (2) all_20_8 = e12 % 60.55/9.62 (3) all_20_12 = e12 % 60.55/9.62 (4) ~ (e11 = e10) % 60.55/9.62 % 60.55/9.62 Begin of proof % 60.55/9.62 | % 60.55/9.62 | ALPHA: (1) implies: % 60.55/9.62 | (5) all_20_12 = e11 % 60.55/9.62 | (6) all_20_8 = e10 % 60.55/9.62 | % 60.55/9.62 | COMBINE_EQS: (2), (6) imply: % 60.55/9.62 | (7) e12 = e10 % 60.55/9.62 | % 60.55/9.62 | COMBINE_EQS: (3), (5) imply: % 60.55/9.62 | (8) e12 = e11 % 60.55/9.62 | % 60.55/9.62 | REF_CLOSE: (4), (7), (8) are inconsistent by sub-proof #59. % 60.55/9.62 | % 60.55/9.62 End of proof % 60.55/9.62 % 60.55/9.62 Sub-proof #59 shows that the following formulas are inconsistent: % 60.55/9.62 ---------------------------------------------------------------- % 60.55/9.62 (1) e12 = e11 % 60.55/9.62 (2) e12 = e10 % 60.55/9.62 (3) ~ (e11 = e10) % 60.55/9.62 % 60.55/9.62 Begin of proof % 60.55/9.62 | % 60.55/9.62 | SIMP: (1) implies: % 60.55/9.62 | (4) e12 = e11 % 60.55/9.62 | % 60.55/9.62 | COMBINE_EQS: (2), (4) imply: % 60.55/9.62 | (5) e11 = e10 % 60.55/9.62 | % 60.55/9.62 | SIMP: (5) implies: % 60.55/9.62 | (6) e11 = e10 % 60.55/9.62 | % 60.55/9.62 | REDUCE: (3), (6) imply: % 60.55/9.62 | (7) $false % 60.55/9.62 | % 60.55/9.62 | CLOSE: (7) is inconsistent. % 60.55/9.62 | % 60.55/9.62 End of proof % 60.55/9.62 % 60.55/9.62 Sub-proof #60 shows that the following formulas are inconsistent: % 60.55/9.62 ---------------------------------------------------------------- % 60.55/9.62 (1) all_20_8 = e10 & all_20_10 = e11 & ~ (all_20_6 = e13) & ~ (all_20_15 = % 60.55/9.62 e11) % 60.55/9.62 (2) all_20_8 = e12 % 60.55/9.62 (3) ~ (e12 = e10) % 60.55/9.62 % 60.55/9.62 Begin of proof % 60.55/9.62 | % 60.55/9.62 | ALPHA: (1) implies: % 60.55/9.62 | (4) all_20_8 = e10 % 60.55/9.62 | % 60.55/9.62 | COMBINE_EQS: (2), (4) imply: % 60.55/9.62 | (5) e12 = e10 % 60.55/9.62 | % 60.55/9.62 | REDUCE: (3), (5) imply: % 60.55/9.62 | (6) $false % 60.55/9.62 | % 60.55/9.62 | CLOSE: (6) is inconsistent. % 60.55/9.62 | % 60.55/9.62 End of proof % 60.55/9.62 % 60.55/9.62 Sub-proof #61 shows that the following formulas are inconsistent: % 60.55/9.62 ---------------------------------------------------------------- % 60.55/9.62 (1) all_20_7 = e12 & all_20_15 = e11 & ~ (all_20_8 = e10) & ~ (all_20_12 = % 60.55/9.62 e11) % 60.55/9.62 (2) all_20_7 = all_12_9 % 60.55/9.62 (3) ~ (all_12_9 = e12) % 60.55/9.62 % 60.55/9.62 Begin of proof % 60.55/9.62 | % 60.55/9.62 | ALPHA: (1) implies: % 60.55/9.62 | (4) all_20_7 = e12 % 60.55/9.62 | % 60.55/9.62 | COMBINE_EQS: (2), (4) imply: % 60.55/9.62 | (5) all_12_9 = e12 % 60.55/9.62 | % 60.55/9.62 | REDUCE: (3), (5) imply: % 60.55/9.62 | (6) $false % 60.55/9.62 | % 60.55/9.62 | CLOSE: (6) is inconsistent. % 60.55/9.62 | % 60.55/9.62 End of proof % 60.55/9.62 % 60.55/9.62 Sub-proof #62 shows that the following formulas are inconsistent: % 60.55/9.62 ---------------------------------------------------------------- % 60.55/9.62 (1) all_24_10 = e13 % 60.55/9.62 (2) all_24_10 = e10 % 60.55/9.62 (3) ~ (e13 = e10) % 60.55/9.62 % 60.55/9.62 Begin of proof % 60.55/9.62 | % 60.55/9.62 | COMBINE_EQS: (1), (2) imply: % 60.55/9.62 | (4) e13 = e10 % 60.55/9.62 | % 60.55/9.62 | SIMP: (4) implies: % 60.55/9.62 | (5) e13 = e10 % 60.55/9.62 | % 60.55/9.62 | REDUCE: (3), (5) imply: % 60.55/9.62 | (6) $false % 60.55/9.62 | % 60.55/9.62 | CLOSE: (6) is inconsistent. % 60.55/9.62 | % 60.55/9.62 End of proof % 60.55/9.62 % 60.55/9.62 Sub-proof #63 shows that the following formulas are inconsistent: % 60.55/9.62 ---------------------------------------------------------------- % 60.55/9.62 (1) all_24_5 = all_12_9 % 60.55/9.62 (2) all_24_5 = e10 % 60.55/9.62 (3) ~ (all_12_9 = e10) % 60.55/9.62 % 60.55/9.62 Begin of proof % 60.55/9.62 | % 60.55/9.62 | COMBINE_EQS: (1), (2) imply: % 60.55/9.62 | (4) all_12_9 = e10 % 60.55/9.62 | % 60.55/9.62 | SIMP: (4) implies: % 60.55/9.62 | (5) all_12_9 = e10 % 60.55/9.62 | % 60.55/9.62 | REDUCE: (3), (5) imply: % 60.55/9.62 | (6) $false % 60.55/9.62 | % 60.55/9.62 | CLOSE: (6) is inconsistent. % 60.55/9.62 | % 60.55/9.62 End of proof % 60.55/9.62 % 60.55/9.62 Sub-proof #64 shows that the following formulas are inconsistent: % 60.55/9.62 ---------------------------------------------------------------- % 60.55/9.62 (1) all_24_9 = e12 % 60.55/9.62 (2) all_24_9 = e10 % 60.55/9.62 (3) ~ (e12 = e10) % 60.55/9.62 % 60.55/9.62 Begin of proof % 60.55/9.62 | % 60.55/9.62 | COMBINE_EQS: (1), (2) imply: % 60.55/9.62 | (4) e12 = e10 % 60.55/9.62 | % 60.55/9.62 | SIMP: (4) implies: % 60.55/9.62 | (5) e12 = e10 % 60.55/9.62 | % 60.55/9.62 | REDUCE: (3), (5) imply: % 60.55/9.62 | (6) $false % 60.55/9.62 | % 60.55/9.62 | CLOSE: (6) is inconsistent. % 60.55/9.62 | % 60.55/9.62 End of proof % 60.55/9.62 % 60.55/9.62 Sub-proof #65 shows that the following formulas are inconsistent: % 60.55/9.62 ---------------------------------------------------------------- % 60.55/9.62 (1) all_24_1 = all_12_4 % 60.55/9.62 (2) all_24_1 = e10 % 60.55/9.62 (3) ~ (all_12_4 = e10) % 60.55/9.62 % 60.55/9.62 Begin of proof % 60.55/9.62 | % 60.55/9.62 | COMBINE_EQS: (1), (2) imply: % 60.55/9.62 | (4) all_12_4 = e10 % 60.55/9.62 | % 60.55/9.62 | SIMP: (4) implies: % 60.55/9.62 | (5) all_12_4 = e10 % 60.55/9.62 | % 60.55/9.62 | REDUCE: (3), (5) imply: % 60.55/9.62 | (6) $false % 60.55/9.62 | % 60.55/9.62 | CLOSE: (6) is inconsistent. % 60.55/9.62 | % 60.55/9.62 End of proof % 60.55/9.62 % 60.55/9.62 Sub-proof #66 shows that the following formulas are inconsistent: % 60.55/9.62 ---------------------------------------------------------------- % 60.55/9.62 (1) ~ (all_14_2 = all_8_2) % 60.55/9.62 (2) ~ (all_6_2 = e23) % 60.55/9.62 (3) (all_22_0 = e22 & all_22_14 = e23 & ~ (all_22_1 = e21) & ~ (all_22_12 = % 60.55/9.62 e23)) | (all_22_0 = e22 & all_22_15 = e23 & ~ (all_22_2 = e20) & ~ % 60.55/9.62 (all_22_12 = e23)) | (all_22_1 = e21 & all_22_12 = e23 & ~ (all_22_0 = % 60.55/9.62 e22) & ~ (all_22_14 = e23)) | (all_22_1 = e21 & all_22_15 = e23 & ~ % 60.55/9.62 (all_22_2 = e20) & ~ (all_22_14 = e23)) | (all_22_2 = e20 & all_22_12 % 60.55/9.62 = e23 & ~ (all_22_0 = e22) & ~ (all_22_15 = e23)) | (all_22_2 = e20 & % 60.55/9.62 all_22_14 = e23 & ~ (all_22_1 = e21) & ~ (all_22_15 = e23)) | % 60.55/9.62 (all_22_3 = e23 & all_22_14 = e22 & ~ (all_22_4 = e21) & ~ (all_22_10 = % 60.55/9.62 e22)) | (all_22_3 = e23 & all_22_15 = e22 & ~ (all_22_5 = e20) & ~ % 60.55/9.62 (all_22_10 = e22)) | (all_22_4 = e21 & all_22_10 = e22 & ~ (all_22_3 = % 60.55/9.62 e23) & ~ (all_22_14 = e22)) | (all_22_4 = e21 & all_22_15 = e22 & ~ % 60.55/9.62 (all_22_5 = e20) & ~ (all_22_14 = e22)) | (all_22_5 = e20 & all_22_10 % 60.55/9.62 = e22 & ~ (all_22_3 = e23) & ~ (all_22_15 = e22)) | (all_22_5 = e20 & % 60.55/9.62 all_22_14 = e22 & ~ (all_22_4 = e21) & ~ (all_22_15 = e22)) | % 60.55/9.62 (all_22_6 = e23 & all_22_12 = e21 & ~ (all_22_7 = e22) & ~ (all_22_10 = % 60.55/9.62 e21)) | (all_22_6 = e23 & all_22_15 = e21 & ~ (all_22_8 = e20) & ~ % 60.55/9.62 (all_22_10 = e21)) | (all_22_7 = e22 & all_22_10 = e21 & ~ (all_22_6 = % 60.55/9.62 e23) & ~ (all_22_12 = e21)) | (all_22_7 = e22 & all_22_15 = e21 & ~ % 60.55/9.62 (all_22_8 = e20) & ~ (all_22_12 = e21)) | (all_22_8 = e20 & all_22_10 % 60.55/9.62 = e21 & ~ (all_22_6 = e23) & ~ (all_22_15 = e21)) | (all_22_8 = e20 & % 60.55/9.62 all_22_12 = e21 & ~ (all_22_7 = e22) & ~ (all_22_15 = e21)) | % 60.55/9.62 (all_22_9 = e23 & all_22_12 = e20 & ~ (all_22_10 = e20) & ~ (all_22_11 % 60.55/9.62 = e22)) | (all_22_9 = e23 & all_22_14 = e20 & ~ (all_22_10 = e20) & % 60.55/9.62 ~ (all_22_13 = e21)) | (all_22_10 = e20 & all_22_11 = e22 & ~ % 60.55/9.62 (all_22_9 = e23) & ~ (all_22_12 = e20)) | (all_22_10 = e20 & all_22_13 % 60.55/9.62 = e21 & ~ (all_22_9 = e23) & ~ (all_22_14 = e20)) | (all_22_11 = e22 % 60.55/9.62 & all_22_14 = e20 & ~ (all_22_12 = e20) & ~ (all_22_13 = e21)) | % 60.55/9.62 (all_22_12 = e20 & all_22_13 = e21 & ~ (all_22_11 = e22) & ~ (all_22_14 % 60.55/9.62 = e20)) % 60.55/9.62 (4) ~ (e21 = e20) % 60.55/9.62 (5) all_18_6 = all_14_9 % 60.55/9.62 (6) ~ (all_14_1 = all_14_2) % 60.55/9.62 (7) all_26_3 = all_6_2 % 60.55/9.62 (8) all_22_4 = all_14_6 % 60.55/9.62 (9) all_18_0 = all_8_2 % 60.55/9.62 (10) ~ (all_14_4 = all_6_2) % 60.55/9.62 (11) all_22_3 = all_14_4 % 60.55/9.62 (12) ~ (all_14_3 = e21) % 60.55/9.62 (13) (all_22_10 = e23 & ( ~ (all_22_12 = e23) | all_22_0 = e22) & ( ~ % 60.55/9.62 (all_22_14 = e23) | all_22_1 = e21) & ( ~ (all_22_15 = e23) | % 60.95/9.62 all_22_2 = e20)) | (all_22_12 = e22 & ( ~ (all_22_10 = e22) | % 60.95/9.62 all_22_3 = e23) & ( ~ (all_22_14 = e22) | all_22_4 = e21) & ( ~ % 60.95/9.62 (all_22_15 = e22) | all_22_5 = e20)) | (all_22_14 = e21 & ( ~ % 60.95/9.62 (all_22_10 = e21) | all_22_6 = e23) & ( ~ (all_22_12 = e21) | % 60.95/9.62 all_22_7 = e22) & ( ~ (all_22_15 = e21) | all_22_8 = e20)) | % 60.95/9.62 (all_22_15 = e20 & ( ~ (all_22_10 = e20) | all_22_9 = e23) & ( ~ % 60.95/9.62 (all_22_12 = e20) | all_22_11 = e22) & ( ~ (all_22_14 = e20) | % 60.95/9.62 all_22_13 = e21)) % 60.95/9.62 (14) all_22_6 = all_14_8 % 60.95/9.62 (15) ~ (all_14_14 = all_4_2) % 60.95/9.62 (16) all_22_12 = all_6_2 % 60.95/9.62 (17) ~ (all_14_9 = all_4_2) % 60.95/9.62 (18) all_18_4 = e23 | all_18_4 = e22 | all_18_4 = e21 | all_18_4 = e20 % 60.95/9.62 (19) all_22_2 = all_14_3 % 60.95/9.62 (20) all_22_10 = all_8_2 % 60.95/9.62 (21) all_26_2 = e22 | all_26_3 = e22 | all_26_5 = e22 | all_26_10 = e22 % 60.95/9.62 (22) all_26_7 = all_14_6 % 60.95/9.62 (23) ~ (all_14_2 = all_14_14) % 60.95/9.62 (24) ~ (all_14_8 = all_14_9) % 60.95/9.62 (25) all_26_0 = e21 | all_26_2 = e21 | all_26_6 = e21 | all_26_12 = e21 % 60.95/9.62 (26) ~ (all_14_7 = all_6_2) % 60.95/9.62 (27) ~ (all_14_3 = e22) % 60.95/9.62 (28) ~ (all_14_8 = all_4_2) % 60.95/9.62 (29) all_26_13 = all_14_7 % 60.95/9.62 (30) all_18_10 = all_4_2 % 60.95/9.62 (31) all_26_4 = all_14_8 % 60.95/9.62 (32) all_26_5 = all_14_9 % 60.95/9.62 (33) all_18_11 = all_14_14 % 60.95/9.62 (34) ~ (all_14_14 = e20) % 60.95/9.62 (35) all_26_11 = all_14_14 % 60.95/9.62 (36) all_26_9 = all_14_12 % 60.95/9.62 (37) all_22_15 = e21 % 60.95/9.62 (38) ~ (all_14_12 = all_8_2) % 60.95/9.62 (39) ~ (all_14_4 = all_14_6) % 60.95/9.62 (40) all_18_12 = all_14_3 % 60.95/9.62 (41) ~ (all_14_4 = all_8_2) % 60.95/9.62 (42) all_18_6 = e23 | all_18_6 = e22 | all_18_6 = e21 | all_18_6 = e20 % 60.95/9.62 (43) all_26_1 = e20 | all_26_3 = e20 | all_26_7 = e20 | all_26_13 = e20 % 60.95/9.62 (44) all_26_1 = e22 | all_26_3 = e22 | all_26_7 = e22 | all_26_13 = e22 % 60.95/9.62 (45) all_22_5 = all_14_7 % 60.95/9.62 (46) all_22_7 = all_14_9 % 60.95/9.62 (47) all_26_6 = e20 | all_26_7 = e20 | all_26_8 = e20 | all_26_11 = e20 % 60.95/9.62 (48) all_18_13 = e23 | all_18_13 = e22 | all_18_13 = e21 | all_18_13 = e20 % 60.95/9.62 (49) ~ (all_14_9 = all_6_2) % 60.95/9.62 (50) all_26_2 = e21 | all_26_3 = e21 | all_26_5 = e21 | all_26_10 = e21 % 60.95/9.62 (51) all_22_11 = e23 % 60.95/9.62 (52) ~ (all_14_4 = all_14_8) % 60.95/9.62 (53) all_26_1 = all_14_4 % 60.95/9.62 (54) ~ (all_14_12 = all_14_14) % 60.95/9.62 (55) ~ (all_14_6 = all_6_2) % 60.95/9.62 (56) all_26_14 = e22 % 60.95/9.62 (57) all_22_9 = all_14_12 % 60.95/9.62 (58) ~ (all_14_8 = all_14_12) % 60.95/9.62 (59) all_26_2 = all_14_1 % 60.95/9.62 (60) ~ (all_14_9 = e23) % 60.95/9.62 (61) all_18_0 = e23 | all_18_0 = e22 | all_18_0 = e21 | all_18_0 = e20 % 60.95/9.62 (62) ~ (all_14_8 = all_8_2) % 60.95/9.62 (63) all_26_12 = all_14_3 % 60.95/9.62 (64) all_26_8 = all_4_2 % 60.95/9.62 (65) all_26_15 = e20 | ((all_26_9 = e20 | all_26_10 = e20 | all_26_11 = e20) % 60.95/9.62 & (all_26_12 = e20 | all_26_13 = e20 | all_26_14 = e20)) % 60.95/9.62 (66) all_18_11 = e23 | all_18_11 = e22 | all_18_11 = e21 % 60.95/9.62 (67) all_18_12 = e23 | all_18_12 = e22 | all_18_12 = e21 | all_18_12 = e20 % 60.95/9.62 (68) ~ (all_14_14 = e23) % 60.95/9.62 (69) all_18_10 = e23 | all_18_10 = e22 | all_18_10 = e21 | all_18_10 = e20 % 60.95/9.62 (70) all_26_0 = e22 | all_26_1 = e22 | all_26_4 = e22 | all_26_9 = e22 % 60.95/9.62 (71) all_22_13 = all_14_14 % 60.95/9.62 (72) all_18_4 = all_14_1 % 60.95/9.62 (73) ~ (all_14_3 = all_8_2) % 60.95/9.62 (74) all_22_14 = all_4_2 % 60.95/9.62 (75) ~ (all_14_9 = e22) % 60.95/9.62 (76) ~ (all_14_1 = all_6_2) % 60.95/9.62 (77) ~ (all_14_4 = all_14_12) % 60.95/9.62 (78) ~ (all_14_1 = all_8_2) % 60.95/9.62 (79) all_26_0 = all_8_2 % 60.95/9.62 (80) all_18_13 = all_14_7 % 60.95/9.62 (81) all_22_1 = all_14_2 % 60.95/9.62 (82) all_26_6 = all_14_2 % 60.95/9.62 (83) all_22_8 = e22 % 60.95/9.62 (84) ~ (all_14_1 = all_14_3) % 60.95/9.62 (85) ~ (all_14_4 = all_14_7) % 60.95/9.62 (86) ~ (all_14_6 = all_14_7) % 60.95/9.62 (87) ~ (all_14_8 = e22) % 60.95/9.62 (88) all_22_0 = all_14_1 % 60.95/9.62 (89) ~ (e23 = e20) % 60.95/9.62 (90) all_18_2 = all_14_8 % 60.95/9.62 (91) ~ (all_14_14 = e21) % 60.95/9.62 (92) all_26_10 = e23 % 60.95/9.62 (93) ~ (all_14_7 = e21) % 60.95/9.62 (94) all_26_15 = e21 % 60.95/9.62 (95) all_26_0 = e22 | all_26_2 = e22 | all_26_6 = e22 | all_26_12 = e22 % 60.95/9.62 (96) ~ (all_14_3 = all_14_7) % 60.95/9.62 (97) ~ (all_14_6 = all_14_14) % 60.95/9.62 (98) ~ (all_14_7 = e22) % 60.95/9.62 (99) all_18_2 = e23 | all_18_2 = e22 | all_18_2 = e21 | all_18_2 = e20 % 60.95/9.62 % 60.95/9.62 Begin of proof % 60.95/9.62 | % 60.95/9.62 | BETA: splitting (65) gives: % 60.95/9.62 | % 60.95/9.62 | Case 1: % 60.95/9.62 | | % 60.95/9.62 | | (100) all_26_15 = e20 % 60.95/9.62 | | % 60.95/9.62 | | REF_CLOSE: (4), (94), (100) are inconsistent by sub-proof #93. % 60.95/9.62 | | % 60.95/9.62 | Case 2: % 60.95/9.62 | | % 60.95/9.62 | | (101) (all_26_9 = e20 | all_26_10 = e20 | all_26_11 = e20) & (all_26_12 = % 60.95/9.62 | | e20 | all_26_13 = e20 | all_26_14 = e20) % 60.95/9.62 | | % 60.95/9.62 | | ALPHA: (101) implies: % 60.95/9.62 | | (102) all_26_12 = e20 | all_26_13 = e20 | all_26_14 = e20 % 60.95/9.62 | | (103) all_26_9 = e20 | all_26_10 = e20 | all_26_11 = e20 % 60.95/9.62 | | % 60.95/9.62 | | BETA: splitting (103) gives: % 60.95/9.62 | | % 60.95/9.62 | | Case 1: % 60.95/9.62 | | | % 60.95/9.62 | | | (104) all_26_9 = e20 % 60.95/9.62 | | | % 60.95/9.62 | | | COMBINE_EQS: (36), (104) imply: % 60.95/9.62 | | | (105) all_14_12 = e20 % 60.95/9.62 | | | % 60.95/9.62 | | | SIMP: (105) implies: % 60.95/9.62 | | | (106) all_14_12 = e20 % 60.95/9.62 | | | % 60.95/9.62 | | | COMBINE_EQS: (57), (106) imply: % 60.95/9.62 | | | (107) all_22_9 = e20 % 60.95/9.62 | | | % 60.95/9.62 | | | REDUCE: (77), (106) imply: % 60.95/9.62 | | | (108) ~ (all_14_4 = e20) % 60.95/9.62 | | | % 60.95/9.62 | | | REDUCE: (58), (106) imply: % 60.95/9.62 | | | (109) ~ (all_14_8 = e20) % 60.95/9.62 | | | % 60.95/9.62 | | | REDUCE: (54), (106) imply: % 60.95/9.62 | | | (110) ~ (all_14_14 = e20) % 60.95/9.62 | | | % 60.95/9.62 | | | REDUCE: (38), (106) imply: % 60.95/9.62 | | | (111) ~ (all_8_2 = e20) % 60.95/9.62 | | | % 60.95/9.62 | | | SIMP: (111) implies: % 60.95/9.62 | | | (112) ~ (all_8_2 = e20) % 60.95/9.62 | | | % 60.95/9.62 | | | BETA: splitting (66) gives: % 60.95/9.62 | | | % 60.95/9.62 | | | Case 1: % 60.95/9.62 | | | | % 60.95/9.62 | | | | (113) all_18_11 = e22 % 60.95/9.62 | | | | % 60.95/9.62 | | | | COMBINE_EQS: (33), (113) imply: % 60.95/9.62 | | | | (114) all_14_14 = e22 % 60.95/9.62 | | | | % 60.95/9.62 | | | | COMBINE_EQS: (71), (114) imply: % 60.95/9.62 | | | | (115) all_22_13 = e22 % 60.95/9.62 | | | | % 60.95/9.62 | | | | COMBINE_EQS: (35), (114) imply: % 60.95/9.62 | | | | (116) all_26_11 = e22 % 60.95/9.62 | | | | % 60.95/9.62 | | | | REDUCE: (23), (114) imply: % 60.95/9.62 | | | | (117) ~ (all_14_2 = e22) % 60.95/9.62 | | | | % 60.95/9.62 | | | | REDUCE: (97), (114) imply: % 60.95/9.62 | | | | (118) ~ (all_14_6 = e22) % 60.95/9.62 | | | | % 60.95/9.62 | | | | REDUCE: (15), (114) imply: % 60.95/9.62 | | | | (119) ~ (all_4_2 = e22) % 60.95/9.62 | | | | % 60.95/9.62 | | | | SIMP: (119) implies: % 60.95/9.62 | | | | (120) ~ (all_4_2 = e22) % 60.95/9.62 | | | | % 60.95/9.62 | | | | REDUCE: (91), (114) imply: % 60.95/9.62 | | | | (121) ~ (e22 = e21) % 60.95/9.62 | | | | % 60.95/9.62 | | | | REDUCE: (34), (114) imply: % 60.95/9.62 | | | | (122) ~ (e22 = e20) % 60.95/9.62 | | | | % 60.95/9.62 | | | | BETA: splitting (42) gives: % 60.95/9.62 | | | | % 60.95/9.62 | | | | Case 1: % 60.95/9.62 | | | | | % 60.95/9.62 | | | | | (123) all_18_6 = e20 % 60.95/9.62 | | | | | % 60.95/9.62 | | | | | COMBINE_EQS: (5), (123) imply: % 60.95/9.62 | | | | | (124) all_14_9 = e20 % 60.95/9.62 | | | | | % 60.95/9.62 | | | | | SIMP: (124) implies: % 60.95/9.62 | | | | | (125) all_14_9 = e20 % 60.95/9.62 | | | | | % 60.95/9.62 | | | | | COMBINE_EQS: (46), (125) imply: % 60.95/9.62 | | | | | (126) all_22_7 = e20 % 60.95/9.62 | | | | | % 60.95/9.62 | | | | | COMBINE_EQS: (32), (125) imply: % 60.95/9.62 | | | | | (127) all_26_5 = e20 % 60.95/9.62 | | | | | % 60.95/9.62 | | | | | REDUCE: (49), (125) imply: % 60.95/9.62 | | | | | (128) ~ (all_6_2 = e20) % 60.95/9.62 | | | | | % 60.95/9.62 | | | | | SIMP: (128) implies: % 60.95/9.62 | | | | | (129) ~ (all_6_2 = e20) % 60.95/9.62 | | | | | % 60.95/9.62 | | | | | REDUCE: (17), (125) imply: % 60.95/9.62 | | | | | (130) ~ (all_4_2 = e20) % 60.95/9.62 | | | | | % 60.95/9.62 | | | | | SIMP: (130) implies: % 60.95/9.62 | | | | | (131) ~ (all_4_2 = e20) % 60.95/9.62 | | | | | % 60.95/9.62 | | | | | REDUCE: (75), (125) imply: % 60.95/9.62 | | | | | (132) ~ (e22 = e20) % 60.95/9.62 | | | | | % 60.95/9.62 | | | | | BETA: splitting (67) gives: % 60.95/9.62 | | | | | % 60.95/9.62 | | | | | Case 1: % 60.95/9.62 | | | | | | % 60.95/9.62 | | | | | | (133) all_18_12 = e20 % 60.95/9.62 | | | | | | % 60.95/9.62 | | | | | | COMBINE_EQS: (40), (133) imply: % 60.95/9.62 | | | | | | (134) all_14_3 = e20 % 60.95/9.62 | | | | | | % 60.95/9.62 | | | | | | COMBINE_EQS: (63), (134) imply: % 60.95/9.63 | | | | | | (135) all_26_12 = e20 % 60.95/9.63 | | | | | | % 60.95/9.63 | | | | | | REDUCE: (84), (134) imply: % 60.95/9.63 | | | | | | (136) ~ (all_14_1 = e20) % 60.95/9.63 | | | | | | % 60.95/9.63 | | | | | | REDUCE: (96), (134) imply: % 60.95/9.63 | | | | | | (137) ~ (all_14_7 = e20) % 60.95/9.63 | | | | | | % 60.95/9.63 | | | | | | SIMP: (137) implies: % 60.95/9.63 | | | | | | (138) ~ (all_14_7 = e20) % 60.95/9.63 | | | | | | % 60.95/9.63 | | | | | | REDUCE: (12), (134) imply: % 60.95/9.63 | | | | | | (139) ~ (e21 = e20) % 60.95/9.63 | | | | | | % 60.95/9.63 | | | | | | BETA: splitting (48) gives: % 60.95/9.63 | | | | | | % 60.95/9.63 | | | | | | Case 1: % 60.95/9.63 | | | | | | | % 60.95/9.63 | | | | | | | (140) all_18_13 = e20 % 60.95/9.63 | | | | | | | % 60.95/9.63 | | | | | | | COMBINE_EQS: (80), (140) imply: % 60.95/9.63 | | | | | | | (141) all_14_7 = e20 % 60.95/9.63 | | | | | | | % 60.95/9.63 | | | | | | | REDUCE: (138), (141) imply: % 60.95/9.63 | | | | | | | (142) $false % 60.95/9.63 | | | | | | | % 60.95/9.63 | | | | | | | CLOSE: (142) is inconsistent. % 60.95/9.63 | | | | | | | % 60.95/9.63 | | | | | | Case 2: % 60.95/9.63 | | | | | | | % 60.95/9.63 | | | | | | | (143) ~ (all_18_13 = e20) % 60.95/9.63 | | | | | | | (144) all_18_13 = e23 | all_18_13 = e22 | all_18_13 = e21 % 60.95/9.63 | | | | | | | % 60.95/9.63 | | | | | | | BETA: splitting (144) gives: % 60.95/9.63 | | | | | | | % 60.95/9.63 | | | | | | | Case 1: % 60.95/9.63 | | | | | | | | % 60.95/9.63 | | | | | | | | (145) all_18_13 = e22 % 60.95/9.63 | | | | | | | | % 60.95/9.63 | | | | | | | | COMBINE_EQS: (80), (145) imply: % 60.95/9.63 | | | | | | | | (146) all_14_7 = e22 % 60.95/9.63 | | | | | | | | % 60.95/9.63 | | | | | | | | REDUCE: (98), (146) imply: % 60.95/9.63 | | | | | | | | (147) $false % 60.95/9.63 | | | | | | | | % 60.95/9.63 | | | | | | | | CLOSE: (147) is inconsistent. % 60.95/9.63 | | | | | | | | % 60.95/9.63 | | | | | | | Case 2: % 60.95/9.63 | | | | | | | | % 60.95/9.63 | | | | | | | | (148) ~ (all_18_13 = e22) % 60.95/9.63 | | | | | | | | (149) all_18_13 = e23 | all_18_13 = e21 % 60.95/9.63 | | | | | | | | % 60.95/9.63 | | | | | | | | BETA: splitting (149) gives: % 60.95/9.63 | | | | | | | | % 60.95/9.63 | | | | | | | | Case 1: % 60.95/9.63 | | | | | | | | | % 60.95/9.63 | | | | | | | | | (150) all_18_13 = e21 % 60.95/9.63 | | | | | | | | | % 60.95/9.63 | | | | | | | | | COMBINE_EQS: (80), (150) imply: % 60.95/9.63 | | | | | | | | | (151) all_14_7 = e21 % 60.95/9.63 | | | | | | | | | % 60.95/9.63 | | | | | | | | | REDUCE: (93), (151) imply: % 60.95/9.63 | | | | | | | | | (152) $false % 60.95/9.63 | | | | | | | | | % 60.95/9.63 | | | | | | | | | CLOSE: (152) is inconsistent. % 60.95/9.63 | | | | | | | | | % 60.95/9.63 | | | | | | | | Case 2: % 60.95/9.63 | | | | | | | | | % 60.95/9.63 | | | | | | | | | (153) all_18_13 = e23 % 60.95/9.63 | | | | | | | | | % 60.95/9.63 | | | | | | | | | COMBINE_EQS: (80), (153) imply: % 60.95/9.63 | | | | | | | | | (154) all_14_7 = e23 % 60.95/9.63 | | | | | | | | | % 60.95/9.63 | | | | | | | | | COMBINE_EQS: (45), (154) imply: % 60.95/9.63 | | | | | | | | | (155) all_22_5 = e23 % 60.95/9.63 | | | | | | | | | % 60.95/9.63 | | | | | | | | | COMBINE_EQS: (29), (154) imply: % 60.95/9.63 | | | | | | | | | (156) all_26_13 = e23 % 60.95/9.63 | | | | | | | | | % 60.95/9.63 | | | | | | | | | REDUCE: (85), (154) imply: % 60.95/9.63 | | | | | | | | | (157) ~ (all_14_4 = e23) % 60.95/9.63 | | | | | | | | | % 60.95/9.63 | | | | | | | | | REDUCE: (26), (154) imply: % 60.95/9.63 | | | | | | | | | (158) ~ (all_6_2 = e23) % 60.95/9.63 | | | | | | | | | % 60.95/9.63 | | | | | | | | | REDUCE: (98), (154) imply: % 60.95/9.63 | | | | | | | | | (159) ~ (e23 = e22) % 60.95/9.63 | | | | | | | | | % 60.95/9.63 | | | | | | | | | REDUCE: (93), (154) imply: % 60.95/9.63 | | | | | | | | | (160) ~ (e23 = e21) % 60.95/9.63 | | | | | | | | | % 60.95/9.63 | | | | | | | | | BETA: splitting (43) gives: % 60.95/9.63 | | | | | | | | | % 60.95/9.63 | | | | | | | | | Case 1: % 60.95/9.63 | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | (161) all_26_1 = e20 % 60.95/9.63 | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | COMBINE_EQS: (53), (161) imply: % 60.95/9.63 | | | | | | | | | | (162) all_14_4 = e20 % 60.95/9.63 | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | SIMP: (162) implies: % 60.95/9.63 | | | | | | | | | | (163) all_14_4 = e20 % 60.95/9.63 | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | REDUCE: (108), (163) imply: % 60.95/9.63 | | | | | | | | | | (164) $false % 60.95/9.63 | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | CLOSE: (164) is inconsistent. % 60.95/9.63 | | | | | | | | | | % 60.95/9.63 | | | | | | | | | Case 2: % 60.95/9.63 | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | (165) all_26_3 = e20 | all_26_7 = e20 | all_26_13 = e20 % 60.95/9.63 | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | BETA: splitting (165) gives: % 60.95/9.63 | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | Case 1: % 60.95/9.63 | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | (166) all_26_3 = e20 % 60.95/9.63 | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | REF_CLOSE: (7), (129), (166) are inconsistent by sub-proof % 60.95/9.63 | | | | | | | | | | | #166. % 60.95/9.63 | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | Case 2: % 60.95/9.63 | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | (167) all_26_7 = e20 | all_26_13 = e20 % 60.95/9.63 | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | BETA: splitting (167) gives: % 60.95/9.63 | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | Case 1: % 60.95/9.63 | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | (168) all_26_7 = e20 % 60.95/9.63 | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | COMBINE_EQS: (22), (168) imply: % 60.95/9.63 | | | | | | | | | | | | (169) all_14_6 = e20 % 60.95/9.63 | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | SIMP: (169) implies: % 60.95/9.63 | | | | | | | | | | | | (170) all_14_6 = e20 % 60.95/9.63 | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | COMBINE_EQS: (8), (170) imply: % 60.95/9.63 | | | | | | | | | | | | (171) all_22_4 = e20 % 60.95/9.63 | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | BETA: splitting (18) gives: % 60.95/9.63 | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | Case 1: % 60.95/9.63 | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | (172) all_18_4 = e20 % 60.95/9.63 | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | REF_CLOSE: (72), (136), (172) are inconsistent by sub-proof % 60.95/9.63 | | | | | | | | | | | | | #77. % 60.95/9.63 | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | Case 2: % 60.95/9.63 | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | (173) ~ (all_18_4 = e20) % 60.95/9.63 | | | | | | | | | | | | | (174) all_18_4 = e23 | all_18_4 = e22 | all_18_4 = e21 % 60.95/9.63 | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | BETA: splitting (13) gives: % 60.95/9.63 | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | Case 1: % 60.95/9.63 | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | (175) (all_22_10 = e23 & ( ~ (all_22_12 = e23) | % 60.95/9.63 | | | | | | | | | | | | | | all_22_0 = e22) & ( ~ (all_22_14 = e23) | % 60.95/9.63 | | | | | | | | | | | | | | all_22_1 = e21) & ( ~ (all_22_15 = e23) | % 60.95/9.63 | | | | | | | | | | | | | | all_22_2 = e20)) | (all_22_12 = e22 & ( ~ % 60.95/9.63 | | | | | | | | | | | | | | (all_22_10 = e22) | all_22_3 = e23) & ( ~ % 60.95/9.63 | | | | | | | | | | | | | | (all_22_14 = e22) | all_22_4 = e21) & ( ~ % 60.95/9.63 | | | | | | | | | | | | | | (all_22_15 = e22) | all_22_5 = e20)) % 60.95/9.63 | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | BETA: splitting (175) gives: % 60.95/9.63 | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | Case 1: % 60.95/9.63 | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | (176) all_22_10 = e23 & ( ~ (all_22_12 = e23) | all_22_0 % 60.95/9.63 | | | | | | | | | | | | | | | = e22) & ( ~ (all_22_14 = e23) | all_22_1 = e21) % 60.95/9.63 | | | | | | | | | | | | | | | & ( ~ (all_22_15 = e23) | all_22_2 = e20) % 60.95/9.63 | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | ALPHA: (176) implies: % 60.95/9.63 | | | | | | | | | | | | | | | (177) all_22_10 = e23 % 60.95/9.63 | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | COMBINE_EQS: (20), (177) imply: % 60.95/9.63 | | | | | | | | | | | | | | | (178) all_8_2 = e23 % 60.95/9.63 | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | SIMP: (178) implies: % 60.95/9.63 | | | | | | | | | | | | | | | (179) all_8_2 = e23 % 60.95/9.63 | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | COMBINE_EQS: (79), (179) imply: % 60.95/9.63 | | | | | | | | | | | | | | | (180) all_26_0 = e23 % 60.95/9.63 | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | REDUCE: (78), (179) imply: % 60.95/9.63 | | | | | | | | | | | | | | | (181) ~ (all_14_1 = e23) % 60.95/9.63 | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | REDUCE: (62), (179) imply: % 60.95/9.63 | | | | | | | | | | | | | | | (182) ~ (all_14_8 = e23) % 60.95/9.63 | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | BETA: splitting (70) gives: % 60.95/9.63 | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | Case 1: % 60.95/9.63 | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | (183) all_26_0 = e22 % 60.95/9.63 | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | REF_CLOSE: (159), (180), (183) are inconsistent by sub-proof % 60.95/9.63 | | | | | | | | | | | | | | | | #76. % 60.95/9.63 | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | Case 2: % 60.95/9.63 | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | (184) ~ (all_26_0 = e22) % 60.95/9.63 | | | | | | | | | | | | | | | | (185) all_26_1 = e22 | all_26_4 = e22 | all_26_9 = e22 % 60.95/9.63 | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | BETA: splitting (95) gives: % 60.95/9.63 | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | Case 1: % 60.95/9.63 | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | (186) all_26_0 = e22 % 60.95/9.63 | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (180), (186) are inconsistent by sub-proof % 60.95/9.63 | | | | | | | | | | | | | | | | | #76. % 60.95/9.63 | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | Case 2: % 60.95/9.63 | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | (187) all_26_2 = e22 | all_26_6 = e22 | all_26_12 = e22 % 60.95/9.63 | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | BETA: splitting (185) gives: % 60.95/9.63 | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | Case 1: % 60.95/9.63 | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | (188) all_26_1 = e22 % 60.95/9.63 | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (53), (188) imply: % 60.95/9.63 | | | | | | | | | | | | | | | | | | (189) all_14_4 = e22 % 60.95/9.63 | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | SIMP: (189) implies: % 60.95/9.63 | | | | | | | | | | | | | | | | | | (190) all_14_4 = e22 % 60.95/9.63 | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11), (190) imply: % 60.95/9.63 | | | | | | | | | | | | | | | | | | (191) all_22_3 = e22 % 60.95/9.63 | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | BETA: splitting (21) gives: % 60.95/9.63 | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | Case 1: % 60.95/9.63 | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | (192) all_26_2 = e22 % 60.95/9.63 | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (59), (192) imply: % 60.95/9.63 | | | | | | | | | | | | | | | | | | | (193) all_14_1 = e22 % 60.95/9.63 | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | SIMP: (193) implies: % 60.95/9.63 | | | | | | | | | | | | | | | | | | | (194) all_14_1 = e22 % 60.95/9.63 | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | REDUCE: (6), (194) imply: % 60.95/9.63 | | | | | | | | | | | | | | | | | | | (195) ~ (all_14_2 = e22) % 60.95/9.63 | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | REDUCE: (181), (194) imply: % 60.95/9.63 | | | | | | | | | | | | | | | | | | | (196) ~ (e23 = e22) % 60.95/9.63 | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | BETA: splitting (3) gives: % 60.95/9.63 | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | Case 1: % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | (197) (all_22_0 = e22 & all_22_14 = e23 & ~ (all_22_1 = % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_12 = e23)) | (all_22_0 = e22 % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | & all_22_15 = e23 & ~ (all_22_2 = e20) & ~ % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | (all_22_12 = e23)) | (all_22_1 = e21 & all_22_12 % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | = e23 & ~ (all_22_0 = e22) & ~ (all_22_14 = % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | e23)) | (all_22_1 = e21 & all_22_15 = e23 & ~ % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | (all_22_2 = e20) & ~ (all_22_14 = e23)) | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | (all_22_2 = e20 & all_22_12 = e23 & ~ (all_22_0 = % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_15 = e23)) | (all_22_2 = e20 % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | & all_22_14 = e23 & ~ (all_22_1 = e21) & ~ % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | (all_22_15 = e23)) | (all_22_3 = e23 & all_22_14 % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | = e22 & ~ (all_22_4 = e21) & ~ (all_22_10 = % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | e22)) | (all_22_3 = e23 & all_22_15 = e22 & ~ % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | (all_22_5 = e20) & ~ (all_22_10 = e22)) | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | (all_22_4 = e21 & all_22_10 = e22 & ~ (all_22_3 = % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_14 = e22)) | (all_22_4 = e21 % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | & all_22_15 = e22 & ~ (all_22_5 = e20) & ~ % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | (all_22_14 = e22)) | (all_22_5 = e20 & all_22_10 % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | = e22 & ~ (all_22_3 = e23) & ~ (all_22_15 = % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | e22)) | (all_22_5 = e20 & all_22_14 = e22 & ~ % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | (all_22_4 = e21) & ~ (all_22_15 = e22)) % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives: % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | Case 1: % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | (198) (all_22_0 = e22 & all_22_14 = e23 & ~ (all_22_1 = % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_12 = e23)) | (all_22_0 = e22 % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | & all_22_15 = e23 & ~ (all_22_2 = e20) & ~ % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e23)) | (all_22_1 = e21 & all_22_12 % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | = e23 & ~ (all_22_0 = e22) & ~ (all_22_14 = % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | e23)) | (all_22_1 = e21 & all_22_15 = e23 & ~ % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | (all_22_2 = e20) & ~ (all_22_14 = e23)) | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | (all_22_2 = e20 & all_22_12 = e23 & ~ (all_22_0 = % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_15 = e23)) | (all_22_2 = e20 % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | & all_22_14 = e23 & ~ (all_22_1 = e21) & ~ % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e23)) % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives: % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | Case 1: % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | (199) (all_22_0 = e22 & all_22_14 = e23 & ~ (all_22_1 = % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_12 = e23)) | (all_22_0 = e22 % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | & all_22_15 = e23 & ~ (all_22_2 = e20) & ~ % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e23)) | (all_22_1 = e21 & all_22_12 % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | = e23 & ~ (all_22_0 = e22) & ~ (all_22_14 = % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | e23)) % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives: % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | (200) all_22_0 = e22 & all_22_14 = e23 & ~ (all_22_1 = % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_12 = e23) % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (200) implies: % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | (201) all_22_14 = e23 % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | (202) ~ (all_22_1 = e21) % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (74), (201) imply: % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | (203) all_4_2 = e23 % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (81), (202) imply: % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | (204) ~ (all_14_2 = e21) % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (25), (82), (95), (117), (121), (122), (135), % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | (159), (160), (180), (204) are inconsistent by % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #101. % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | (205) (all_22_0 = e22 & all_22_15 = e23 & ~ (all_22_2 = % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_12 = e23)) | (all_22_1 = e21 % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | & all_22_12 = e23 & ~ (all_22_0 = e22) & ~ % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e23)) % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (205) gives: % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | (206) all_22_0 = e22 & all_22_15 = e23 & ~ (all_22_2 = % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_12 = e23) % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (206) implies: % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | (207) all_22_15 = e23 % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (37), (160), (207) are inconsistent by sub-proof % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | #118. % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | (208) all_22_1 = e21 & all_22_12 = e23 & ~ (all_22_0 = % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_14 = e23) % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (208) implies: % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | (209) all_22_12 = e23 % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16), (209) imply: % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | (210) all_6_2 = e23 % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2), (210) imply: % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | (211) $false % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (211) is inconsistent. % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | End of split % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | End of split % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | Case 2: % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | (212) (all_22_1 = e21 & all_22_15 = e23 & ~ (all_22_2 = % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_14 = e23)) | (all_22_2 = e20 % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | & all_22_12 = e23 & ~ (all_22_0 = e22) & ~ % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e23)) | (all_22_2 = e20 & all_22_14 % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | = e23 & ~ (all_22_1 = e21) & ~ (all_22_15 = % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | e23)) % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives: % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | (213) all_22_1 = e21 & all_22_15 = e23 & ~ (all_22_2 = % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_14 = e23) % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (213) implies: % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | (214) all_22_15 = e23 % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (37), (160), (214) are inconsistent by sub-proof % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | #118. % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | (215) (all_22_2 = e20 & all_22_12 = e23 & ~ (all_22_0 = % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_15 = e23)) | (all_22_2 = e20 % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | & all_22_14 = e23 & ~ (all_22_1 = e21) & ~ % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e23)) % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives: % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | (216) all_22_2 = e20 & all_22_12 = e23 & ~ (all_22_0 = % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_15 = e23) % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (216) implies: % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | (217) all_22_12 = e23 % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16), (217) imply: % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | (218) all_6_2 = e23 % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2), (218) imply: % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | (219) $false % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (219) is inconsistent. % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | (220) all_22_2 = e20 & all_22_14 = e23 & ~ (all_22_1 = % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_15 = e23) % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (220) implies: % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | (221) all_22_14 = e23 % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | (222) ~ (all_22_15 = e23) % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | (223) ~ (all_22_1 = e21) % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (74), (221) imply: % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | (224) all_4_2 = e23 % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (81), (223) imply: % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | (225) ~ (all_14_2 = e21) % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (37), (222) imply: % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | (226) ~ (e23 = e21) % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (25), (82), (95), (117), (121), (122), (135), % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | (159), (160), (180), (225) are inconsistent by % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #101. % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | End of split % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | End of split % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | End of split % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | Case 2: % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | (227) (all_22_3 = e23 & all_22_14 = e22 & ~ (all_22_4 = % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_10 = e22)) | (all_22_3 = e23 % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | & all_22_15 = e22 & ~ (all_22_5 = e20) & ~ % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e22)) | (all_22_4 = e21 & all_22_10 % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | = e22 & ~ (all_22_3 = e23) & ~ (all_22_14 = % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | e22)) | (all_22_4 = e21 & all_22_15 = e22 & ~ % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | (all_22_5 = e20) & ~ (all_22_14 = e22)) | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | (all_22_5 = e20 & all_22_10 = e22 & ~ (all_22_3 = % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_15 = e22)) | (all_22_5 = e20 % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | & all_22_14 = e22 & ~ (all_22_4 = e21) & ~ % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e22)) % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives: % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | Case 1: % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | (228) (all_22_3 = e23 & all_22_14 = e22 & ~ (all_22_4 = % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_10 = e22)) | (all_22_3 = e23 % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | & all_22_15 = e22 & ~ (all_22_5 = e20) & ~ % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e22)) | (all_22_4 = e21 & all_22_10 % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | = e22 & ~ (all_22_3 = e23) & ~ (all_22_14 = % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | e22)) % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives: % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | (229) all_22_3 = e23 & all_22_14 = e22 & ~ (all_22_4 = % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_10 = e22) % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (229) implies: % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | (230) all_22_3 = e23 % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (191), (230) imply: % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | (231) e23 = e22 % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (231) implies: % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | (232) e23 = e22 % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (159), (232) imply: % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | (233) $false % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (233) is inconsistent. % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | (234) (all_22_3 = e23 & all_22_15 = e22 & ~ (all_22_5 = % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_10 = e22)) | (all_22_4 = e21 % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | & all_22_10 = e22 & ~ (all_22_3 = e23) & ~ % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e22)) % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives: % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | (235) all_22_3 = e23 & all_22_15 = e22 & ~ (all_22_5 = % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_10 = e22) % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (235) implies: % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | (236) all_22_15 = e22 % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (37), (236) imply: % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | (237) e22 = e21 % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (237) implies: % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | (238) e22 = e21 % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (192), (238) imply: % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | (239) all_26_2 = e21 % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (82), (95), (117), (121), (122), (135), (159), % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | (180), (239) are inconsistent by sub-proof #124. % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | (240) all_22_4 = e21 & all_22_10 = e22 & ~ (all_22_3 = % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_14 = e22) % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (240) implies: % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | (241) all_22_4 = e21 % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (171), (241) imply: % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | (242) e21 = e20 % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (242) imply: % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | (243) $false % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (243) is inconsistent. % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | End of split % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | End of split % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | Case 2: % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | (244) (all_22_4 = e21 & all_22_15 = e22 & ~ (all_22_5 = % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_14 = e22)) | (all_22_5 = e20 % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | & all_22_10 = e22 & ~ (all_22_3 = e23) & ~ % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e22)) | (all_22_5 = e20 & all_22_14 % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | = e22 & ~ (all_22_4 = e21) & ~ (all_22_15 = % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | e22)) % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives: % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | (245) all_22_4 = e21 & all_22_15 = e22 & ~ (all_22_5 = % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_14 = e22) % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (245) implies: % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | (246) all_22_4 = e21 % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (171), (246) imply: % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | (247) e21 = e20 % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (247) imply: % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | (248) $false % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (248) is inconsistent. % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | (249) (all_22_5 = e20 & all_22_10 = e22 & ~ (all_22_3 = % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_15 = e22)) | (all_22_5 = e20 % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | & all_22_14 = e22 & ~ (all_22_4 = e21) & ~ % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e22)) % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (249) gives: % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | (250) all_22_5 = e20 & all_22_10 = e22 & ~ (all_22_3 = % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_15 = e22) % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (250) implies: % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | (251) all_22_10 = e22 % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | (252) all_22_5 = e20 % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (155), (252) imply: % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | (253) e23 = e20 % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (122), (177), (251), (253) are inconsistent by % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #155. % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | (254) all_22_5 = e20 & all_22_14 = e22 & ~ (all_22_4 = % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_15 = e22) % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (89), (155), (254) are inconsistent by sub-proof % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | #138. % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | End of split % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | End of split % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | End of split % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | End of split % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | Case 2: % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | (255) (all_22_6 = e23 & all_22_12 = e21 & ~ (all_22_7 = % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_10 = e21)) | (all_22_6 = e23 % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | & all_22_15 = e21 & ~ (all_22_8 = e20) & ~ % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | (all_22_10 = e21)) | (all_22_7 = e22 & all_22_10 % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | = e21 & ~ (all_22_6 = e23) & ~ (all_22_12 = % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | e21)) | (all_22_7 = e22 & all_22_15 = e21 & ~ % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | (all_22_8 = e20) & ~ (all_22_12 = e21)) | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | (all_22_8 = e20 & all_22_10 = e21 & ~ (all_22_6 = % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_15 = e21)) | (all_22_8 = e20 % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | & all_22_12 = e21 & ~ (all_22_7 = e22) & ~ % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | (all_22_15 = e21)) | (all_22_9 = e23 & all_22_12 % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | = e20 & ~ (all_22_10 = e20) & ~ (all_22_11 = % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | e22)) | (all_22_9 = e23 & all_22_14 = e20 & ~ % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | (all_22_10 = e20) & ~ (all_22_13 = e21)) | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | (all_22_10 = e20 & all_22_11 = e22 & ~ (all_22_9 % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_22_12 = e20)) | (all_22_10 = % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | e20 & all_22_13 = e21 & ~ (all_22_9 = e23) & ~ % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | (all_22_14 = e20)) | (all_22_11 = e22 & % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | all_22_14 = e20 & ~ (all_22_12 = e20) & ~ % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | (all_22_13 = e21)) | (all_22_12 = e20 & % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | all_22_13 = e21 & ~ (all_22_11 = e22) & ~ % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | (all_22_14 = e20)) % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | BETA: splitting (255) gives: % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | Case 1: % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | (256) (all_22_6 = e23 & all_22_12 = e21 & ~ (all_22_7 = % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_10 = e21)) | (all_22_6 = e23 % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | & all_22_15 = e21 & ~ (all_22_8 = e20) & ~ % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e21)) | (all_22_7 = e22 & all_22_10 % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | = e21 & ~ (all_22_6 = e23) & ~ (all_22_12 = % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | e21)) | (all_22_7 = e22 & all_22_15 = e21 & ~ % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | (all_22_8 = e20) & ~ (all_22_12 = e21)) | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | (all_22_8 = e20 & all_22_10 = e21 & ~ (all_22_6 = % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_15 = e21)) | (all_22_8 = e20 % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | & all_22_12 = e21 & ~ (all_22_7 = e22) & ~ % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e21)) % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (256) gives: % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | Case 1: % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | (257) (all_22_6 = e23 & all_22_12 = e21 & ~ (all_22_7 = % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_10 = e21)) | (all_22_6 = e23 % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | & all_22_15 = e21 & ~ (all_22_8 = e20) & ~ % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | (all_22_10 = e21)) | (all_22_7 = e22 & all_22_10 % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | = e21 & ~ (all_22_6 = e23) & ~ (all_22_12 = % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | e21)) % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (257) gives: % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | (258) all_22_6 = e23 & all_22_12 = e21 & ~ (all_22_7 = % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_10 = e21) % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (258) implies: % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | (259) all_22_6 = e23 % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14), (259) imply: % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | (260) all_14_8 = e23 % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (182), (260) imply: % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | (261) $false % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (261) is inconsistent. % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | (262) (all_22_6 = e23 & all_22_15 = e21 & ~ (all_22_8 = % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_10 = e21)) | (all_22_7 = e22 % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | & all_22_10 = e21 & ~ (all_22_6 = e23) & ~ % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e21)) % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (262) gives: % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | (263) all_22_6 = e23 & all_22_15 = e21 & ~ (all_22_8 = % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_10 = e21) % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (182), (263) are inconsistent by sub-proof % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | #75. % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | (264) all_22_7 = e22 & all_22_10 = e21 & ~ (all_22_6 = % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_12 = e21) % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.63 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (264) implies: % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | | (265) all_22_7 = e22 % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (122), (126), (265) are inconsistent by sub-proof % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | | #152. % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | End of split % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | End of split % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | Case 2: % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | (266) (all_22_7 = e22 & all_22_15 = e21 & ~ (all_22_8 = % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_12 = e21)) | (all_22_8 = e20 % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | & all_22_10 = e21 & ~ (all_22_6 = e23) & ~ % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e21)) | (all_22_8 = e20 & all_22_12 % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | = e21 & ~ (all_22_7 = e22) & ~ (all_22_15 = % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | e21)) % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (266) gives: % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | (267) all_22_7 = e22 & all_22_15 = e21 & ~ (all_22_8 = % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_12 = e21) % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (267) implies: % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | (268) all_22_7 = e22 % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (122), (126), (268) are inconsistent by sub-proof % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | #152. % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | (269) (all_22_8 = e20 & all_22_10 = e21 & ~ (all_22_6 = % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_15 = e21)) | (all_22_8 = e20 % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | & all_22_12 = e21 & ~ (all_22_7 = e22) & ~ % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e21)) % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (269) gives: % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | | (270) all_22_8 = e20 & all_22_10 = e21 & ~ (all_22_6 = % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_15 = e21) % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (270) implies: % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | | (271) all_22_8 = e20 % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (83), (122), (271) are inconsistent by sub-proof % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | | #135. % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | | (272) all_22_8 = e20 & all_22_12 = e21 & ~ (all_22_7 = % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_15 = e21) % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (272) implies: % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | | (273) all_22_8 = e20 % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (83), (122), (273) are inconsistent by sub-proof % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | | #135. % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | End of split % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | End of split % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | End of split % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | Case 2: % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | (274) (all_22_9 = e23 & all_22_12 = e20 & ~ (all_22_10 % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_22_11 = e22)) | (all_22_9 = % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | e23 & all_22_14 = e20 & ~ (all_22_10 = e20) & % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | ~ (all_22_13 = e21)) | (all_22_10 = e20 & % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | all_22_11 = e22 & ~ (all_22_9 = e23) & ~ % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e20)) | (all_22_10 = e20 & % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | all_22_13 = e21 & ~ (all_22_9 = e23) & ~ % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e20)) | (all_22_11 = e22 & % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | all_22_14 = e20 & ~ (all_22_12 = e20) & ~ % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | (all_22_13 = e21)) | (all_22_12 = e20 & % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | all_22_13 = e21 & ~ (all_22_11 = e22) & ~ % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e20)) % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (274) gives: % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | Case 1: % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | (275) (all_22_9 = e23 & all_22_12 = e20 & ~ (all_22_10 % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_22_11 = e22)) | (all_22_9 = % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | e23 & all_22_14 = e20 & ~ (all_22_10 = e20) & % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | ~ (all_22_13 = e21)) | (all_22_10 = e20 & % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | all_22_11 = e22 & ~ (all_22_9 = e23) & ~ % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e20)) % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (275) gives: % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | (276) all_22_9 = e23 & all_22_12 = e20 & ~ (all_22_10 = % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_11 = e22) % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (276) implies: % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | (277) all_22_9 = e23 % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (89), (107), (277) are inconsistent by sub-proof % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | #74. % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | (278) (all_22_9 = e23 & all_22_14 = e20 & ~ (all_22_10 % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_22_13 = e21)) | (all_22_10 = % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | e20 & all_22_11 = e22 & ~ (all_22_9 = e23) & ~ % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | (all_22_12 = e20)) % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (278) gives: % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | | (279) all_22_9 = e23 & all_22_14 = e20 & ~ (all_22_10 = % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_13 = e21) % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (279) implies: % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | | (280) all_22_9 = e23 % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (89), (107), (280) are inconsistent by sub-proof % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | | #74. % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | | (281) all_22_10 = e20 & all_22_11 = e22 & ~ (all_22_9 = % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_12 = e20) % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (122), (177), (281) are inconsistent by % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #147. % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | End of split % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | End of split % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | Case 2: % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | (282) (all_22_10 = e20 & all_22_13 = e21 & ~ (all_22_9 % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_22_14 = e20)) | (all_22_11 = % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | e22 & all_22_14 = e20 & ~ (all_22_12 = e20) & % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | ~ (all_22_13 = e21)) | (all_22_12 = e20 & % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | all_22_13 = e21 & ~ (all_22_11 = e22) & ~ % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | (all_22_14 = e20)) % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (282) gives: % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | (283) all_22_10 = e20 & all_22_13 = e21 & ~ (all_22_9 = % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_14 = e20) % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (283) implies: % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | (284) all_22_13 = e21 % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (82), (95), (115), (117), (121), (122), (135), % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | (159), (180), (192), (284) are inconsistent by % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #73. % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | (285) (all_22_11 = e22 & all_22_14 = e20 & ~ (all_22_12 % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_22_13 = e21)) | (all_22_12 = % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | e20 & all_22_13 = e21 & ~ (all_22_11 = e22) & % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | ~ (all_22_14 = e20)) % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (285) gives: % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | | (286) all_22_11 = e22 & all_22_14 = e20 & ~ (all_22_12 % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_22_13 = e21) % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (286) implies: % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | | (287) all_22_11 = e22 % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (159), (287) are inconsistent by sub-proof % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | | #128. % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | | (288) all_22_12 = e20 & all_22_13 = e21 & ~ (all_22_11 % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_22_14 = e20) % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (288) implies: % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | | (289) all_22_13 = e21 % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (82), (95), (115), (117), (121), (122), (135), % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | | (159), (180), (192), (289) are inconsistent by % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #73. % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | End of split % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | End of split % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | End of split % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | End of split % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | End of split % 60.95/9.64 | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | Case 2: % 60.95/9.64 | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | (290) ~ (all_26_2 = e22) % 60.95/9.64 | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | REDUCE: (59), (290) imply: % 60.95/9.64 | | | | | | | | | | | | | | | | | | | (291) ~ (all_14_1 = e22) % 60.95/9.64 | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (59), (82), (117), (122), (135), (187), (291) are % 60.95/9.64 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #108. % 60.95/9.64 | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | End of split % 60.95/9.64 | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | Case 2: % 60.95/9.64 | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | (292) ~ (all_26_1 = e22) % 60.95/9.64 | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | REDUCE: (53), (292) imply: % 60.95/9.64 | | | | | | | | | | | | | | | | | | (293) ~ (all_14_4 = e22) % 60.95/9.64 | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | BETA: splitting (44) gives: % 60.95/9.64 | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | Case 1: % 60.95/9.64 | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | (294) all_26_1 = e22 % 60.95/9.64 | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (53), (293), (294) are inconsistent by sub-proof % 60.95/9.64 | | | | | | | | | | | | | | | | | | | #72. % 60.95/9.64 | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | Case 2: % 60.95/9.64 | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | (295) all_26_3 = e22 | all_26_7 = e22 | all_26_13 = e22 % 60.95/9.64 | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | BETA: splitting (174) gives: % 60.95/9.64 | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | Case 1: % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | (296) all_18_4 = e22 % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (72), (296) imply: % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | (297) all_14_1 = e22 % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | SIMP: (297) implies: % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | (298) all_14_1 = e22 % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | REDUCE: (76), (298) imply: % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | (299) ~ (all_6_2 = e22) % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | SIMP: (299) implies: % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | (300) ~ (all_6_2 = e22) % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | REDUCE: (181), (298) imply: % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | (301) ~ (e23 = e22) % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | BETA: splitting (295) gives: % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | Case 1: % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | (302) all_26_3 = e22 % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7), (302) imply: % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | (303) all_6_2 = e22 % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | SIMP: (303) implies: % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | (304) all_6_2 = e22 % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | REDUCE: (300), (304) imply: % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | (305) $false % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | CLOSE: (305) is inconsistent. % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | Case 2: % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | (306) all_26_7 = e22 | all_26_13 = e22 % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (118), (156), (159), (306) are inconsistent % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | by sub-proof #100. % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | End of split % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | Case 2: % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | (307) ~ (all_18_4 = e22) % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | REDUCE: (72), (307) imply: % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | (308) ~ (all_14_1 = e22) % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (59), (82), (117), (122), (135), (187), (308) are % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #108. % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | End of split % 60.95/9.64 | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | End of split % 60.95/9.64 | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | End of split % 60.95/9.64 | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | End of split % 60.95/9.64 | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | End of split % 60.95/9.64 | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | Case 2: % 60.95/9.64 | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | (309) all_22_12 = e22 & ( ~ (all_22_10 = e22) | all_22_3 % 60.95/9.64 | | | | | | | | | | | | | | | = e23) & ( ~ (all_22_14 = e22) | all_22_4 = e21) % 60.95/9.64 | | | | | | | | | | | | | | | & ( ~ (all_22_15 = e22) | all_22_5 = e20) % 60.95/9.64 | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | ALPHA: (309) implies: % 60.95/9.64 | | | | | | | | | | | | | | | (310) all_22_12 = e22 % 60.95/9.64 | | | | | | | | | | | | | | | (311) ~ (all_22_10 = e22) | all_22_3 = e23 % 60.95/9.64 | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | COMBINE_EQS: (16), (310) imply: % 60.95/9.64 | | | | | | | | | | | | | | | (312) all_6_2 = e22 % 60.95/9.64 | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | REDUCE: (76), (312) imply: % 60.95/9.64 | | | | | | | | | | | | | | | (313) ~ (all_14_1 = e22) % 60.95/9.64 | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | REF_CLOSE: (11), (20), (59), (79), (82), (95), (117), (122), % 60.95/9.64 | | | | | | | | | | | | | | | (135), (157), (311), (313) are inconsistent by % 60.95/9.64 | | | | | | | | | | | | | | | sub-proof #106. % 60.95/9.64 | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | End of split % 60.95/9.64 | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | Case 2: % 60.95/9.64 | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | (314) (all_22_14 = e21 & ( ~ (all_22_10 = e21) | % 60.95/9.64 | | | | | | | | | | | | | | all_22_6 = e23) & ( ~ (all_22_12 = e21) | % 60.95/9.64 | | | | | | | | | | | | | | all_22_7 = e22) & ( ~ (all_22_15 = e21) | % 60.95/9.64 | | | | | | | | | | | | | | all_22_8 = e20)) | (all_22_15 = e20 & ( ~ % 60.95/9.64 | | | | | | | | | | | | | | (all_22_10 = e20) | all_22_9 = e23) & ( ~ % 60.95/9.64 | | | | | | | | | | | | | | (all_22_12 = e20) | all_22_11 = e22) & ( ~ % 60.95/9.64 | | | | | | | | | | | | | | (all_22_14 = e20) | all_22_13 = e21)) % 60.95/9.64 | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | REF_CLOSE: (4), (37), (83), (122), (314) are inconsistent by % 60.95/9.64 | | | | | | | | | | | | | | sub-proof #103. % 60.95/9.64 | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | End of split % 60.95/9.64 | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | End of split % 60.95/9.64 | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | Case 2: % 60.95/9.64 | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | (315) all_26_13 = e20 % 60.95/9.64 | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | REF_CLOSE: (89), (156), (315) are inconsistent by sub-proof % 60.95/9.64 | | | | | | | | | | | | #164. % 60.95/9.64 | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | End of split % 60.95/9.64 | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | End of split % 60.95/9.64 | | | | | | | | | | % 60.95/9.64 | | | | | | | | | End of split % 60.95/9.64 | | | | | | | | | % 60.95/9.64 | | | | | | | | End of split % 60.95/9.64 | | | | | | | | % 60.95/9.64 | | | | | | | End of split % 60.95/9.64 | | | | | | | % 60.95/9.64 | | | | | | End of split % 60.95/9.64 | | | | | | % 60.95/9.64 | | | | | Case 2: % 60.95/9.64 | | | | | | % 60.95/9.64 | | | | | | (316) ~ (all_18_12 = e20) % 60.95/9.64 | | | | | | (317) all_18_12 = e23 | all_18_12 = e22 | all_18_12 = e21 % 60.95/9.64 | | | | | | % 60.95/9.64 | | | | | | REDUCE: (40), (316) imply: % 60.95/9.64 | | | | | | (318) ~ (all_14_3 = e20) % 60.95/9.64 | | | | | | % 60.95/9.64 | | | | | | BETA: splitting (317) gives: % 60.95/9.64 | | | | | | % 60.95/9.64 | | | | | | Case 1: % 60.95/9.64 | | | | | | | % 60.95/9.64 | | | | | | | (319) all_18_12 = e22 % 60.95/9.64 | | | | | | | % 60.95/9.64 | | | | | | | COMBINE_EQS: (40), (319) imply: % 60.95/9.64 | | | | | | | (320) all_14_3 = e22 % 60.95/9.64 | | | | | | | % 60.95/9.64 | | | | | | | REDUCE: (27), (320) imply: % 60.95/9.64 | | | | | | | (321) $false % 60.95/9.64 | | | | | | | % 60.95/9.64 | | | | | | | CLOSE: (321) is inconsistent. % 60.95/9.64 | | | | | | | % 60.95/9.64 | | | | | | Case 2: % 60.95/9.64 | | | | | | | % 60.95/9.64 | | | | | | | (322) all_18_12 = e23 | all_18_12 = e21 % 60.95/9.64 | | | | | | | % 60.95/9.64 | | | | | | | BETA: splitting (102) gives: % 60.95/9.64 | | | | | | | % 60.95/9.64 | | | | | | | Case 1: % 60.95/9.64 | | | | | | | | % 60.95/9.64 | | | | | | | | (323) all_26_12 = e20 % 60.95/9.64 | | | | | | | | % 60.95/9.64 | | | | | | | | COMBINE_EQS: (63), (323) imply: % 60.95/9.64 | | | | | | | | (324) all_14_3 = e20 % 60.95/9.64 | | | | | | | | % 60.95/9.64 | | | | | | | | SIMP: (324) implies: % 60.95/9.64 | | | | | | | | (325) all_14_3 = e20 % 60.95/9.64 | | | | | | | | % 60.95/9.64 | | | | | | | | REDUCE: (318), (325) imply: % 60.95/9.64 | | | | | | | | (326) $false % 60.95/9.64 | | | | | | | | % 60.95/9.64 | | | | | | | | CLOSE: (326) is inconsistent. % 60.95/9.64 | | | | | | | | % 60.95/9.64 | | | | | | | Case 2: % 60.95/9.64 | | | | | | | | % 60.95/9.64 | | | | | | | | (327) all_26_13 = e20 | all_26_14 = e20 % 60.95/9.64 | | | | | | | | % 60.95/9.64 | | | | | | | | BETA: splitting (327) gives: % 60.95/9.64 | | | | | | | | % 60.95/9.64 | | | | | | | | Case 1: % 60.95/9.64 | | | | | | | | | % 60.95/9.64 | | | | | | | | | (328) all_26_13 = e20 % 60.95/9.64 | | | | | | | | | % 60.95/9.64 | | | | | | | | | COMBINE_EQS: (29), (328) imply: % 60.95/9.64 | | | | | | | | | (329) all_14_7 = e20 % 60.95/9.64 | | | | | | | | | % 60.95/9.64 | | | | | | | | | SIMP: (329) implies: % 60.95/9.64 | | | | | | | | | (330) all_14_7 = e20 % 60.95/9.64 | | | | | | | | | % 60.95/9.64 | | | | | | | | | REDUCE: (86), (330) imply: % 60.95/9.64 | | | | | | | | | (331) ~ (all_14_6 = e20) % 60.95/9.64 | | | | | | | | | % 60.95/9.64 | | | | | | | | | REDUCE: (93), (330) imply: % 60.95/9.64 | | | | | | | | | (332) ~ (e21 = e20) % 60.95/9.64 | | | | | | | | | % 60.95/9.64 | | | | | | | | | BETA: splitting (47) gives: % 60.95/9.64 | | | | | | | | | % 60.95/9.64 | | | | | | | | | Case 1: % 60.95/9.64 | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | (333) all_26_6 = e20 % 60.95/9.64 | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | COMBINE_EQS: (82), (333) imply: % 60.95/9.64 | | | | | | | | | | (334) all_14_2 = e20 % 60.95/9.64 | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | SIMP: (334) implies: % 60.95/9.64 | | | | | | | | | | (335) all_14_2 = e20 % 60.95/9.64 | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | COMBINE_EQS: (81), (335) imply: % 60.95/9.64 | | | | | | | | | | (336) all_22_1 = e20 % 60.95/9.64 | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | REDUCE: (6), (335) imply: % 60.95/9.64 | | | | | | | | | | (337) ~ (all_14_1 = e20) % 60.95/9.64 | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | BETA: splitting (322) gives: % 60.95/9.64 | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | Case 1: % 60.95/9.64 | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | (338) all_18_12 = e21 % 60.95/9.64 | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | COMBINE_EQS: (40), (338) imply: % 60.95/9.64 | | | | | | | | | | | (339) all_14_3 = e21 % 60.95/9.64 | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | SIMP: (339) implies: % 60.95/9.64 | | | | | | | | | | | (340) all_14_3 = e21 % 60.95/9.64 | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | REDUCE: (12), (340) imply: % 60.95/9.64 | | | | | | | | | | | (341) $false % 60.95/9.64 | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | CLOSE: (341) is inconsistent. % 60.95/9.64 | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | Case 2: % 60.95/9.64 | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | (342) all_18_12 = e23 % 60.95/9.64 | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | COMBINE_EQS: (40), (342) imply: % 60.95/9.64 | | | | | | | | | | | (343) all_14_3 = e23 % 60.95/9.64 | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | SIMP: (343) implies: % 60.95/9.64 | | | | | | | | | | | (344) all_14_3 = e23 % 60.95/9.64 | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | COMBINE_EQS: (19), (344) imply: % 60.95/9.64 | | | | | | | | | | | (345) all_22_2 = e23 % 60.95/9.64 | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | REDUCE: (73), (344) imply: % 60.95/9.64 | | | | | | | | | | | (346) ~ (all_8_2 = e23) % 60.95/9.64 | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | SIMP: (346) implies: % 60.95/9.64 | | | | | | | | | | | (347) ~ (all_8_2 = e23) % 60.95/9.64 | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | REDUCE: (12), (344) imply: % 60.95/9.64 | | | | | | | | | | | (348) ~ (e23 = e21) % 60.95/9.64 | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | BETA: splitting (13) gives: % 60.95/9.64 | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | Case 1: % 60.95/9.64 | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | (349) (all_22_10 = e23 & ( ~ (all_22_12 = e23) | % 60.95/9.64 | | | | | | | | | | | | all_22_0 = e22) & ( ~ (all_22_14 = e23) | % 60.95/9.64 | | | | | | | | | | | | all_22_1 = e21) & ( ~ (all_22_15 = e23) | % 60.95/9.64 | | | | | | | | | | | | all_22_2 = e20)) | (all_22_12 = e22 & ( ~ % 60.95/9.64 | | | | | | | | | | | | (all_22_10 = e22) | all_22_3 = e23) & ( ~ % 60.95/9.64 | | | | | | | | | | | | (all_22_14 = e22) | all_22_4 = e21) & ( ~ % 60.95/9.64 | | | | | | | | | | | | (all_22_15 = e22) | all_22_5 = e20)) % 60.95/9.64 | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | BETA: splitting (349) gives: % 60.95/9.64 | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | Case 1: % 60.95/9.64 | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | (350) all_22_10 = e23 & ( ~ (all_22_12 = e23) | all_22_0 % 60.95/9.64 | | | | | | | | | | | | | = e22) & ( ~ (all_22_14 = e23) | all_22_1 = e21) % 60.95/9.64 | | | | | | | | | | | | | & ( ~ (all_22_15 = e23) | all_22_2 = e20) % 60.95/9.64 | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | REF_CLOSE: (20), (347), (350) are inconsistent by sub-proof % 60.95/9.64 | | | | | | | | | | | | | #92. % 60.95/9.64 | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | Case 2: % 60.95/9.64 | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | (351) all_22_12 = e22 & ( ~ (all_22_10 = e22) | all_22_3 % 60.95/9.64 | | | | | | | | | | | | | = e23) & ( ~ (all_22_14 = e22) | all_22_4 = e21) % 60.95/9.64 | | | | | | | | | | | | | & ( ~ (all_22_15 = e22) | all_22_5 = e20) % 60.95/9.64 | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | ALPHA: (351) implies: % 60.95/9.64 | | | | | | | | | | | | | (352) all_22_12 = e22 % 60.95/9.64 | | | | | | | | | | | | | (353) ~ (all_22_10 = e22) | all_22_3 = e23 % 60.95/9.64 | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | COMBINE_EQS: (16), (352) imply: % 60.95/9.64 | | | | | | | | | | | | | (354) all_6_2 = e22 % 60.95/9.64 | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | SIMP: (354) implies: % 60.95/9.64 | | | | | | | | | | | | | (355) all_6_2 = e22 % 60.95/9.64 | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | COMBINE_EQS: (7), (355) imply: % 60.95/9.64 | | | | | | | | | | | | | (356) all_26_3 = e22 % 60.95/9.64 | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | REDUCE: (10), (355) imply: % 60.95/9.64 | | | | | | | | | | | | | (357) ~ (all_14_4 = e22) % 60.95/9.64 | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | BETA: splitting (70) gives: % 60.95/9.64 | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | Case 1: % 60.95/9.64 | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | (358) all_26_0 = e22 % 60.95/9.64 | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | COMBINE_EQS: (79), (358) imply: % 60.95/9.64 | | | | | | | | | | | | | | (359) all_8_2 = e22 % 60.95/9.64 | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | SIMP: (359) implies: % 60.95/9.64 | | | | | | | | | | | | | | (360) all_8_2 = e22 % 60.95/9.64 | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | COMBINE_EQS: (20), (360) imply: % 60.95/9.64 | | | | | | | | | | | | | | (361) all_22_10 = e22 % 60.95/9.64 | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | REDUCE: (78), (360) imply: % 60.95/9.64 | | | | | | | | | | | | | | (362) ~ (all_14_1 = e22) % 60.95/9.64 | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | BETA: splitting (50) gives: % 60.95/9.64 | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | Case 1: % 60.95/9.64 | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | (363) all_26_2 = e21 % 60.95/9.64 | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | COMBINE_EQS: (59), (363) imply: % 60.95/9.64 | | | | | | | | | | | | | | | (364) all_14_1 = e21 % 60.95/9.64 | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | SIMP: (364) implies: % 60.95/9.64 | | | | | | | | | | | | | | | (365) all_14_1 = e21 % 60.95/9.64 | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | COMBINE_EQS: (88), (365) imply: % 60.95/9.64 | | | | | | | | | | | | | | | (366) all_22_0 = e21 % 60.95/9.64 | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | REDUCE: (362), (365) imply: % 60.95/9.64 | | | | | | | | | | | | | | | (367) ~ (e22 = e21) % 60.95/9.64 | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | BETA: splitting (353) gives: % 60.95/9.64 | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | Case 1: % 60.95/9.64 | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | (368) ~ (all_22_10 = e22) % 60.95/9.64 | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | REDUCE: (361), (368) imply: % 60.95/9.64 | | | | | | | | | | | | | | | | (369) $false % 60.95/9.64 | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | CLOSE: (369) is inconsistent. % 60.95/9.64 | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | Case 2: % 60.95/9.64 | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | (370) all_22_3 = e23 % 60.95/9.64 | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | COMBINE_EQS: (11), (370) imply: % 60.95/9.64 | | | | | | | | | | | | | | | | (371) all_14_4 = e23 % 60.95/9.64 | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | SIMP: (371) implies: % 60.95/9.64 | | | | | | | | | | | | | | | | (372) all_14_4 = e23 % 60.95/9.64 | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | REDUCE: (52), (372) imply: % 60.95/9.64 | | | | | | | | | | | | | | | | (373) ~ (all_14_8 = e23) % 60.95/9.64 | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | SIMP: (373) implies: % 60.95/9.64 | | | | | | | | | | | | | | | | (374) ~ (all_14_8 = e23) % 60.95/9.64 | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | REDUCE: (357), (372) imply: % 60.95/9.64 | | | | | | | | | | | | | | | | (375) ~ (e23 = e22) % 60.95/9.64 | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | BETA: splitting (3) gives: % 60.95/9.64 | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | Case 1: % 60.95/9.64 | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | (376) (all_22_0 = e22 & all_22_14 = e23 & ~ (all_22_1 = % 60.95/9.64 | | | | | | | | | | | | | | | | | e21) & ~ (all_22_12 = e23)) | (all_22_0 = e22 % 60.95/9.64 | | | | | | | | | | | | | | | | | & all_22_15 = e23 & ~ (all_22_2 = e20) & ~ % 60.95/9.64 | | | | | | | | | | | | | | | | | (all_22_12 = e23)) | (all_22_1 = e21 & all_22_12 % 60.95/9.64 | | | | | | | | | | | | | | | | | = e23 & ~ (all_22_0 = e22) & ~ (all_22_14 = % 60.95/9.64 | | | | | | | | | | | | | | | | | e23)) | (all_22_1 = e21 & all_22_15 = e23 & ~ % 60.95/9.64 | | | | | | | | | | | | | | | | | (all_22_2 = e20) & ~ (all_22_14 = e23)) | % 60.95/9.64 | | | | | | | | | | | | | | | | | (all_22_2 = e20 & all_22_12 = e23 & ~ (all_22_0 = % 60.95/9.64 | | | | | | | | | | | | | | | | | e22) & ~ (all_22_15 = e23)) | (all_22_2 = e20 % 60.95/9.64 | | | | | | | | | | | | | | | | | & all_22_14 = e23 & ~ (all_22_1 = e21) & ~ % 60.95/9.64 | | | | | | | | | | | | | | | | | (all_22_15 = e23)) | (all_22_3 = e23 & all_22_14 % 60.95/9.64 | | | | | | | | | | | | | | | | | = e22 & ~ (all_22_4 = e21) & ~ (all_22_10 = % 60.95/9.64 | | | | | | | | | | | | | | | | | e22)) | (all_22_3 = e23 & all_22_15 = e22 & ~ % 60.95/9.64 | | | | | | | | | | | | | | | | | (all_22_5 = e20) & ~ (all_22_10 = e22)) | % 60.95/9.64 | | | | | | | | | | | | | | | | | (all_22_4 = e21 & all_22_10 = e22 & ~ (all_22_3 = % 60.95/9.64 | | | | | | | | | | | | | | | | | e23) & ~ (all_22_14 = e22)) | (all_22_4 = e21 % 60.95/9.64 | | | | | | | | | | | | | | | | | & all_22_15 = e22 & ~ (all_22_5 = e20) & ~ % 60.95/9.64 | | | | | | | | | | | | | | | | | (all_22_14 = e22)) | (all_22_5 = e20 & all_22_10 % 60.95/9.64 | | | | | | | | | | | | | | | | | = e22 & ~ (all_22_3 = e23) & ~ (all_22_15 = % 60.95/9.64 | | | | | | | | | | | | | | | | | e22)) | (all_22_5 = e20 & all_22_14 = e22 & ~ % 60.95/9.64 | | | | | | | | | | | | | | | | | (all_22_4 = e21) & ~ (all_22_15 = e22)) % 60.95/9.64 | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | BETA: splitting (376) gives: % 60.95/9.64 | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | Case 1: % 60.95/9.64 | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | (377) (all_22_0 = e22 & all_22_14 = e23 & ~ (all_22_1 = % 60.95/9.64 | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_12 = e23)) | (all_22_0 = e22 % 60.95/9.64 | | | | | | | | | | | | | | | | | | & all_22_15 = e23 & ~ (all_22_2 = e20) & ~ % 60.95/9.64 | | | | | | | | | | | | | | | | | | (all_22_12 = e23)) | (all_22_1 = e21 & all_22_12 % 60.95/9.64 | | | | | | | | | | | | | | | | | | = e23 & ~ (all_22_0 = e22) & ~ (all_22_14 = % 60.95/9.64 | | | | | | | | | | | | | | | | | | e23)) | (all_22_1 = e21 & all_22_15 = e23 & ~ % 60.95/9.64 | | | | | | | | | | | | | | | | | | (all_22_2 = e20) & ~ (all_22_14 = e23)) | % 60.95/9.64 | | | | | | | | | | | | | | | | | | (all_22_2 = e20 & all_22_12 = e23 & ~ (all_22_0 = % 60.95/9.64 | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_15 = e23)) | (all_22_2 = e20 % 60.95/9.64 | | | | | | | | | | | | | | | | | | & all_22_14 = e23 & ~ (all_22_1 = e21) & ~ % 60.95/9.64 | | | | | | | | | | | | | | | | | | (all_22_15 = e23)) % 60.95/9.64 | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | BETA: splitting (377) gives: % 60.95/9.64 | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | Case 1: % 60.95/9.64 | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | (378) (all_22_0 = e22 & all_22_14 = e23 & ~ (all_22_1 = % 60.95/9.64 | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_12 = e23)) | (all_22_0 = e22 % 60.95/9.64 | | | | | | | | | | | | | | | | | | | & all_22_15 = e23 & ~ (all_22_2 = e20) & ~ % 60.95/9.64 | | | | | | | | | | | | | | | | | | | (all_22_12 = e23)) | (all_22_1 = e21 & all_22_12 % 60.95/9.64 | | | | | | | | | | | | | | | | | | | = e23 & ~ (all_22_0 = e22) & ~ (all_22_14 = % 60.95/9.64 | | | | | | | | | | | | | | | | | | | e23)) % 60.95/9.64 | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | BETA: splitting (378) gives: % 60.95/9.64 | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | Case 1: % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | (379) all_22_0 = e22 & all_22_14 = e23 & ~ (all_22_1 = % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_12 = e23) % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | ALPHA: (379) implies: % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | (380) all_22_0 = e22 % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (121), (366), (380) are inconsistent by sub-proof % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | #71. % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | Case 2: % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | (381) (all_22_0 = e22 & all_22_15 = e23 & ~ (all_22_2 = % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_12 = e23)) | (all_22_1 = e21 % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | & all_22_12 = e23 & ~ (all_22_0 = e22) & ~ % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | (all_22_14 = e23)) % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | BETA: splitting (381) gives: % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | Case 1: % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | (382) all_22_0 = e22 & all_22_15 = e23 & ~ (all_22_2 = % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_12 = e23) % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | ALPHA: (382) implies: % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | (383) all_22_0 = e22 % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (121), (366), (383) are inconsistent by sub-proof % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | #71. % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | Case 2: % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | (384) all_22_1 = e21 & all_22_12 = e23 & ~ (all_22_0 = % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_14 = e23) % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | ALPHA: (384) implies: % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | (385) all_22_1 = e21 % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (336), (385) are inconsistent by sub-proof % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | #70. % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | End of split % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | End of split % 60.95/9.64 | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | Case 2: % 60.95/9.64 | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | (386) (all_22_1 = e21 & all_22_15 = e23 & ~ (all_22_2 = % 60.95/9.64 | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_14 = e23)) | (all_22_2 = e20 % 60.95/9.64 | | | | | | | | | | | | | | | | | | | & all_22_12 = e23 & ~ (all_22_0 = e22) & ~ % 60.95/9.64 | | | | | | | | | | | | | | | | | | | (all_22_15 = e23)) | (all_22_2 = e20 & all_22_14 % 60.95/9.64 | | | | | | | | | | | | | | | | | | | = e23 & ~ (all_22_1 = e21) & ~ (all_22_15 = % 60.95/9.64 | | | | | | | | | | | | | | | | | | | e23)) % 60.95/9.64 | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | BETA: splitting (386) gives: % 60.95/9.64 | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | Case 1: % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | (387) all_22_1 = e21 & all_22_15 = e23 & ~ (all_22_2 = % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_14 = e23) % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | ALPHA: (387) implies: % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | (388) all_22_1 = e21 % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (336), (388) are inconsistent by sub-proof % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | #70. % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | Case 2: % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | (389) (all_22_2 = e20 & all_22_12 = e23 & ~ (all_22_0 = % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_15 = e23)) | (all_22_2 = e20 % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | & all_22_14 = e23 & ~ (all_22_1 = e21) & ~ % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | (all_22_15 = e23)) % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | BETA: splitting (389) gives: % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | Case 1: % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | (390) all_22_2 = e20 & all_22_12 = e23 & ~ (all_22_0 = % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_15 = e23) % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | ALPHA: (390) implies: % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | (391) all_22_12 = e23 % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | (392) all_22_2 = e20 % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (345), (392) imply: % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | (393) e23 = e20 % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (352), (391) imply: % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | (394) e23 = e22 % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (122), (393), (394) are inconsistent by sub-proof % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | #158. % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | Case 2: % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | (395) all_22_2 = e20 & all_22_14 = e23 & ~ (all_22_1 = % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_15 = e23) % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | ALPHA: (395) implies: % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | (396) all_22_2 = e20 % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (345), (396) imply: % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | (397) e23 = e20 % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | REDUCE: (89), (397) imply: % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | (398) $false % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | CLOSE: (398) is inconsistent. % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | End of split % 60.95/9.64 | | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | | End of split % 60.95/9.64 | | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | | End of split % 60.95/9.64 | | | | | | | | | | | | | | | | | | % 60.95/9.64 | | | | | | | | | | | | | | | | | Case 2: % 60.95/9.64 | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | (399) (all_22_3 = e23 & all_22_14 = e22 & ~ (all_22_4 = % 60.95/9.65 | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_10 = e22)) | (all_22_3 = e23 % 60.95/9.65 | | | | | | | | | | | | | | | | | | & all_22_15 = e22 & ~ (all_22_5 = e20) & ~ % 60.95/9.65 | | | | | | | | | | | | | | | | | | (all_22_10 = e22)) | (all_22_4 = e21 & all_22_10 % 60.95/9.65 | | | | | | | | | | | | | | | | | | = e22 & ~ (all_22_3 = e23) & ~ (all_22_14 = % 60.95/9.65 | | | | | | | | | | | | | | | | | | e22)) | (all_22_4 = e21 & all_22_15 = e22 & ~ % 60.95/9.65 | | | | | | | | | | | | | | | | | | (all_22_5 = e20) & ~ (all_22_14 = e22)) | % 60.95/9.65 | | | | | | | | | | | | | | | | | | (all_22_5 = e20 & all_22_10 = e22 & ~ (all_22_3 = % 60.95/9.65 | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_15 = e22)) | (all_22_5 = e20 % 60.95/9.65 | | | | | | | | | | | | | | | | | | & all_22_14 = e22 & ~ (all_22_4 = e21) & ~ % 60.95/9.65 | | | | | | | | | | | | | | | | | | (all_22_15 = e22)) % 60.95/9.65 | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | BETA: splitting (399) gives: % 60.95/9.65 | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | Case 1: % 60.95/9.65 | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | (400) (all_22_3 = e23 & all_22_14 = e22 & ~ (all_22_4 = % 60.95/9.65 | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_10 = e22)) | (all_22_3 = e23 % 60.95/9.65 | | | | | | | | | | | | | | | | | | | & all_22_15 = e22 & ~ (all_22_5 = e20) & ~ % 60.95/9.65 | | | | | | | | | | | | | | | | | | | (all_22_10 = e22)) | (all_22_4 = e21 & all_22_10 % 60.95/9.65 | | | | | | | | | | | | | | | | | | | = e22 & ~ (all_22_3 = e23) & ~ (all_22_14 = % 60.95/9.65 | | | | | | | | | | | | | | | | | | | e22)) % 60.95/9.65 | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | BETA: splitting (400) gives: % 60.95/9.65 | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | Case 1: % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | (401) all_22_3 = e23 & all_22_14 = e22 & ~ (all_22_4 = % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_10 = e22) % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | ALPHA: (401) implies: % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | (402) all_22_14 = e22 % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (74), (120), (402) are inconsistent by sub-proof % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | #90. % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | Case 2: % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | (403) (all_22_3 = e23 & all_22_15 = e22 & ~ (all_22_5 = % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_10 = e22)) | (all_22_4 = e21 % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | & all_22_10 = e22 & ~ (all_22_3 = e23) & ~ % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | (all_22_14 = e22)) % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | BETA: splitting (403) gives: % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | Case 1: % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | (404) all_22_3 = e23 & all_22_15 = e22 & ~ (all_22_5 = % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_10 = e22) % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (37), (121), (404) are inconsistent by sub-proof % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | #157. % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | Case 2: % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | (405) all_22_4 = e21 & all_22_10 = e22 & ~ (all_22_3 = % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_14 = e22) % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | ALPHA: (405) implies: % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | (406) ~ (all_22_3 = e23) % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | REDUCE: (370), (406) imply: % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | (407) $false % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | CLOSE: (407) is inconsistent. % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | End of split % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | End of split % 60.95/9.65 | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | Case 2: % 60.95/9.65 | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | (408) (all_22_4 = e21 & all_22_15 = e22 & ~ (all_22_5 = % 60.95/9.65 | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_14 = e22)) | (all_22_5 = e20 % 60.95/9.65 | | | | | | | | | | | | | | | | | | | & all_22_10 = e22 & ~ (all_22_3 = e23) & ~ % 60.95/9.65 | | | | | | | | | | | | | | | | | | | (all_22_15 = e22)) | (all_22_5 = e20 & all_22_14 % 60.95/9.65 | | | | | | | | | | | | | | | | | | | = e22 & ~ (all_22_4 = e21) & ~ (all_22_15 = % 60.95/9.65 | | | | | | | | | | | | | | | | | | | e22)) % 60.95/9.65 | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | BETA: splitting (408) gives: % 60.95/9.65 | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | Case 1: % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | (409) all_22_4 = e21 & all_22_15 = e22 & ~ (all_22_5 = % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_14 = e22) % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (37), (121), (409) are inconsistent by sub-proof % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | #156. % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | Case 2: % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | (410) (all_22_5 = e20 & all_22_10 = e22 & ~ (all_22_3 = % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_15 = e22)) | (all_22_5 = e20 % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | & all_22_14 = e22 & ~ (all_22_4 = e21) & ~ % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | (all_22_15 = e22)) % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | BETA: splitting (410) gives: % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | Case 1: % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | (411) all_22_5 = e20 & all_22_10 = e22 & ~ (all_22_3 = % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_15 = e22) % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | ALPHA: (411) implies: % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | (412) ~ (all_22_3 = e23) % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | REDUCE: (370), (412) imply: % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | (413) $false % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | CLOSE: (413) is inconsistent. % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | Case 2: % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | (414) all_22_5 = e20 & all_22_14 = e22 & ~ (all_22_4 = % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_15 = e22) % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | ALPHA: (414) implies: % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | (415) all_22_14 = e22 % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (74), (120), (415) are inconsistent by sub-proof % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | #90. % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | End of split % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | End of split % 60.95/9.65 | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | End of split % 60.95/9.65 | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | End of split % 60.95/9.65 | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | Case 2: % 60.95/9.65 | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | (416) (all_22_6 = e23 & all_22_12 = e21 & ~ (all_22_7 = % 60.95/9.65 | | | | | | | | | | | | | | | | | e22) & ~ (all_22_10 = e21)) | (all_22_6 = e23 % 60.95/9.65 | | | | | | | | | | | | | | | | | & all_22_15 = e21 & ~ (all_22_8 = e20) & ~ % 60.95/9.65 | | | | | | | | | | | | | | | | | (all_22_10 = e21)) | (all_22_7 = e22 & all_22_10 % 60.95/9.65 | | | | | | | | | | | | | | | | | = e21 & ~ (all_22_6 = e23) & ~ (all_22_12 = % 60.95/9.65 | | | | | | | | | | | | | | | | | e21)) | (all_22_7 = e22 & all_22_15 = e21 & ~ % 60.95/9.65 | | | | | | | | | | | | | | | | | (all_22_8 = e20) & ~ (all_22_12 = e21)) | % 60.95/9.65 | | | | | | | | | | | | | | | | | (all_22_8 = e20 & all_22_10 = e21 & ~ (all_22_6 = % 60.95/9.65 | | | | | | | | | | | | | | | | | e23) & ~ (all_22_15 = e21)) | (all_22_8 = e20 % 60.95/9.65 | | | | | | | | | | | | | | | | | & all_22_12 = e21 & ~ (all_22_7 = e22) & ~ % 60.95/9.65 | | | | | | | | | | | | | | | | | (all_22_15 = e21)) | (all_22_9 = e23 & all_22_12 % 60.95/9.65 | | | | | | | | | | | | | | | | | = e20 & ~ (all_22_10 = e20) & ~ (all_22_11 = % 60.95/9.65 | | | | | | | | | | | | | | | | | e22)) | (all_22_9 = e23 & all_22_14 = e20 & ~ % 60.95/9.65 | | | | | | | | | | | | | | | | | (all_22_10 = e20) & ~ (all_22_13 = e21)) | % 60.95/9.65 | | | | | | | | | | | | | | | | | (all_22_10 = e20 & all_22_11 = e22 & ~ (all_22_9 % 60.95/9.65 | | | | | | | | | | | | | | | | | = e23) & ~ (all_22_12 = e20)) | (all_22_10 = % 60.95/9.65 | | | | | | | | | | | | | | | | | e20 & all_22_13 = e21 & ~ (all_22_9 = e23) & ~ % 60.95/9.65 | | | | | | | | | | | | | | | | | (all_22_14 = e20)) | (all_22_11 = e22 & % 60.95/9.65 | | | | | | | | | | | | | | | | | all_22_14 = e20 & ~ (all_22_12 = e20) & ~ % 60.95/9.65 | | | | | | | | | | | | | | | | | (all_22_13 = e21)) | (all_22_12 = e20 & % 60.95/9.65 | | | | | | | | | | | | | | | | | all_22_13 = e21 & ~ (all_22_11 = e22) & ~ % 60.95/9.65 | | | | | | | | | | | | | | | | | (all_22_14 = e20)) % 60.95/9.65 | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | BETA: splitting (416) gives: % 60.95/9.65 | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | Case 1: % 60.95/9.65 | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | (417) (all_22_6 = e23 & all_22_12 = e21 & ~ (all_22_7 = % 60.95/9.65 | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_10 = e21)) | (all_22_6 = e23 % 60.95/9.65 | | | | | | | | | | | | | | | | | | & all_22_15 = e21 & ~ (all_22_8 = e20) & ~ % 60.95/9.65 | | | | | | | | | | | | | | | | | | (all_22_10 = e21)) | (all_22_7 = e22 & all_22_10 % 60.95/9.65 | | | | | | | | | | | | | | | | | | = e21 & ~ (all_22_6 = e23) & ~ (all_22_12 = % 60.95/9.65 | | | | | | | | | | | | | | | | | | e21)) | (all_22_7 = e22 & all_22_15 = e21 & ~ % 60.95/9.65 | | | | | | | | | | | | | | | | | | (all_22_8 = e20) & ~ (all_22_12 = e21)) | % 60.95/9.65 | | | | | | | | | | | | | | | | | | (all_22_8 = e20 & all_22_10 = e21 & ~ (all_22_6 = % 60.95/9.65 | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_15 = e21)) | (all_22_8 = e20 % 60.95/9.65 | | | | | | | | | | | | | | | | | | & all_22_12 = e21 & ~ (all_22_7 = e22) & ~ % 60.95/9.65 | | | | | | | | | | | | | | | | | | (all_22_15 = e21)) % 60.95/9.65 | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | BETA: splitting (417) gives: % 60.95/9.65 | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | Case 1: % 60.95/9.65 | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | (418) (all_22_6 = e23 & all_22_12 = e21 & ~ (all_22_7 = % 60.95/9.65 | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_10 = e21)) | (all_22_6 = e23 % 60.95/9.65 | | | | | | | | | | | | | | | | | | | & all_22_15 = e21 & ~ (all_22_8 = e20) & ~ % 60.95/9.65 | | | | | | | | | | | | | | | | | | | (all_22_10 = e21)) | (all_22_7 = e22 & all_22_10 % 60.95/9.65 | | | | | | | | | | | | | | | | | | | = e21 & ~ (all_22_6 = e23) & ~ (all_22_12 = % 60.95/9.65 | | | | | | | | | | | | | | | | | | | e21)) % 60.95/9.65 | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | BETA: splitting (418) gives: % 60.95/9.65 | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | Case 1: % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | (419) all_22_6 = e23 & all_22_12 = e21 & ~ (all_22_7 = % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_10 = e21) % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (121), (352), (419) are inconsistent by sub-proof % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | #136. % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | Case 2: % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | (420) (all_22_6 = e23 & all_22_15 = e21 & ~ (all_22_8 = % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_10 = e21)) | (all_22_7 = e22 % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | & all_22_10 = e21 & ~ (all_22_6 = e23) & ~ % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | (all_22_12 = e21)) % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | BETA: splitting (420) gives: % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | Case 1: % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | (421) all_22_6 = e23 & all_22_15 = e21 & ~ (all_22_8 = % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_10 = e21) % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (374), (421) are inconsistent by sub-proof % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | #75. % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | Case 2: % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | (422) all_22_7 = e22 & all_22_10 = e21 & ~ (all_22_6 = % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_12 = e21) % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | ALPHA: (422) implies: % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | (423) all_22_10 = e21 % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | (424) all_22_7 = e22 % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (126), (424) imply: % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | (425) e22 = e20 % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (361), (423) imply: % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | (426) e22 = e21 % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | SIMP: (426) implies: % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | (427) e22 = e21 % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (425), (427) are inconsistent by sub-proof % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | #134. % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | End of split % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | End of split % 60.95/9.65 | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | Case 2: % 60.95/9.65 | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | (428) (all_22_7 = e22 & all_22_15 = e21 & ~ (all_22_8 = % 60.95/9.65 | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_12 = e21)) | (all_22_8 = e20 % 60.95/9.65 | | | | | | | | | | | | | | | | | | | & all_22_10 = e21 & ~ (all_22_6 = e23) & ~ % 60.95/9.65 | | | | | | | | | | | | | | | | | | | (all_22_15 = e21)) | (all_22_8 = e20 & all_22_12 % 60.95/9.65 | | | | | | | | | | | | | | | | | | | = e21 & ~ (all_22_7 = e22) & ~ (all_22_15 = % 60.95/9.65 | | | | | | | | | | | | | | | | | | | e21)) % 60.95/9.65 | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | BETA: splitting (428) gives: % 60.95/9.65 | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | Case 1: % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | (429) all_22_7 = e22 & all_22_15 = e21 & ~ (all_22_8 = % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_12 = e21) % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | ALPHA: (429) implies: % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | (430) all_22_7 = e22 % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (126), (430) imply: % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | (431) e22 = e20 % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | REDUCE: (122), (431) imply: % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | (432) $false % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | CLOSE: (432) is inconsistent. % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | Case 2: % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | (433) (all_22_8 = e20 & all_22_10 = e21 & ~ (all_22_6 = % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_15 = e21)) | (all_22_8 = e20 % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | & all_22_12 = e21 & ~ (all_22_7 = e22) & ~ % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | (all_22_15 = e21)) % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | BETA: splitting (433) gives: % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | Case 1: % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | (434) all_22_8 = e20 & all_22_10 = e21 & ~ (all_22_6 = % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_15 = e21) % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | ALPHA: (434) implies: % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | (435) all_22_10 = e21 % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | (436) all_22_8 = e20 % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (83), (436) imply: % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | (437) e22 = e20 % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (361), (435) imply: % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | (438) e22 = e21 % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | SIMP: (438) implies: % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | (439) e22 = e21 % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (437), (439) are inconsistent by sub-proof % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | #134. % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | Case 2: % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | (440) all_22_8 = e20 & all_22_12 = e21 & ~ (all_22_7 = % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_15 = e21) % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (83), (352), (440) are inconsistent by % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | sub-proof #69. % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | End of split % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | End of split % 60.95/9.65 | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | End of split % 60.95/9.65 | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | Case 2: % 60.95/9.65 | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | (441) (all_22_9 = e23 & all_22_12 = e20 & ~ (all_22_10 % 60.95/9.65 | | | | | | | | | | | | | | | | | | = e20) & ~ (all_22_11 = e22)) | (all_22_9 = % 60.95/9.65 | | | | | | | | | | | | | | | | | | e23 & all_22_14 = e20 & ~ (all_22_10 = e20) & % 60.95/9.65 | | | | | | | | | | | | | | | | | | ~ (all_22_13 = e21)) | (all_22_10 = e20 & % 60.95/9.65 | | | | | | | | | | | | | | | | | | all_22_11 = e22 & ~ (all_22_9 = e23) & ~ % 60.95/9.65 | | | | | | | | | | | | | | | | | | (all_22_12 = e20)) | (all_22_10 = e20 & % 60.95/9.65 | | | | | | | | | | | | | | | | | | all_22_13 = e21 & ~ (all_22_9 = e23) & ~ % 60.95/9.65 | | | | | | | | | | | | | | | | | | (all_22_14 = e20)) | (all_22_11 = e22 & % 60.95/9.65 | | | | | | | | | | | | | | | | | | all_22_14 = e20 & ~ (all_22_12 = e20) & ~ % 60.95/9.65 | | | | | | | | | | | | | | | | | | (all_22_13 = e21)) | (all_22_12 = e20 & % 60.95/9.65 | | | | | | | | | | | | | | | | | | all_22_13 = e21 & ~ (all_22_11 = e22) & ~ % 60.95/9.65 | | | | | | | | | | | | | | | | | | (all_22_14 = e20)) % 60.95/9.65 | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | BETA: splitting (441) gives: % 60.95/9.65 | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | Case 1: % 60.95/9.65 | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | (442) (all_22_9 = e23 & all_22_12 = e20 & ~ (all_22_10 % 60.95/9.65 | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_22_11 = e22)) | (all_22_9 = % 60.95/9.65 | | | | | | | | | | | | | | | | | | | e23 & all_22_14 = e20 & ~ (all_22_10 = e20) & % 60.95/9.65 | | | | | | | | | | | | | | | | | | | ~ (all_22_13 = e21)) | (all_22_10 = e20 & % 60.95/9.65 | | | | | | | | | | | | | | | | | | | all_22_11 = e22 & ~ (all_22_9 = e23) & ~ % 60.95/9.65 | | | | | | | | | | | | | | | | | | | (all_22_12 = e20)) % 60.95/9.65 | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | BETA: splitting (442) gives: % 60.95/9.65 | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | Case 1: % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | (443) all_22_9 = e23 & all_22_12 = e20 & ~ (all_22_10 = % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_11 = e22) % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (122), (352), (443) are inconsistent by sub-proof % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | #132. % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | Case 2: % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | (444) (all_22_9 = e23 & all_22_14 = e20 & ~ (all_22_10 % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_22_13 = e21)) | (all_22_10 = % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | e20 & all_22_11 = e22 & ~ (all_22_9 = e23) & ~ % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | (all_22_12 = e20)) % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | BETA: splitting (444) gives: % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | Case 1: % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | (445) all_22_9 = e23 & all_22_14 = e20 & ~ (all_22_10 = % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_13 = e21) % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | ALPHA: (445) implies: % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | (446) all_22_9 = e23 % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (89), (107), (446) are inconsistent by sub-proof % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | #74. % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | Case 2: % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | (447) all_22_10 = e20 & all_22_11 = e22 & ~ (all_22_9 = % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_12 = e20) % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | ALPHA: (447) implies: % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | (448) all_22_10 = e20 % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (361), (448) imply: % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | (449) e22 = e20 % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | REDUCE: (122), (449) imply: % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | (450) $false % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | CLOSE: (450) is inconsistent. % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | End of split % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | End of split % 60.95/9.65 | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | Case 2: % 60.95/9.65 | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | (451) (all_22_10 = e20 & all_22_13 = e21 & ~ (all_22_9 % 60.95/9.65 | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_22_14 = e20)) | (all_22_11 = % 60.95/9.65 | | | | | | | | | | | | | | | | | | | e22 & all_22_14 = e20 & ~ (all_22_12 = e20) & % 60.95/9.65 | | | | | | | | | | | | | | | | | | | ~ (all_22_13 = e21)) | (all_22_12 = e20 & % 60.95/9.65 | | | | | | | | | | | | | | | | | | | all_22_13 = e21 & ~ (all_22_11 = e22) & ~ % 60.95/9.65 | | | | | | | | | | | | | | | | | | | (all_22_14 = e20)) % 60.95/9.65 | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | BETA: splitting (451) gives: % 60.95/9.65 | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | Case 1: % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | (452) all_22_10 = e20 & all_22_13 = e21 & ~ (all_22_9 = % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_14 = e20) % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | ALPHA: (452) implies: % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | (453) all_22_13 = e21 % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | (454) all_22_10 = e20 % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (361), (454) imply: % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | (455) e22 = e20 % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (115), (453) imply: % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | (456) e22 = e21 % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (455), (456) are inconsistent by sub-proof % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | #68. % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | Case 2: % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | (457) (all_22_11 = e22 & all_22_14 = e20 & ~ (all_22_12 % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_22_13 = e21)) | (all_22_12 = % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | e20 & all_22_13 = e21 & ~ (all_22_11 = e22) & % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | ~ (all_22_14 = e20)) % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | BETA: splitting (457) gives: % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | Case 1: % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | (458) all_22_11 = e22 & all_22_14 = e20 & ~ (all_22_12 % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_22_13 = e21) % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | ALPHA: (458) implies: % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | (459) all_22_11 = e22 % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (375), (459) are inconsistent by sub-proof % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | #128. % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | Case 2: % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | (460) all_22_12 = e20 & all_22_13 = e21 & ~ (all_22_11 % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_22_14 = e20) % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | ALPHA: (460) implies: % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | (461) all_22_13 = e21 % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | (462) all_22_12 = e20 % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (352), (462) imply: % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | (463) e22 = e20 % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (115), (461) imply: % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | (464) e22 = e21 % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (463), (464) are inconsistent by sub-proof % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | #68. % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | End of split % 60.95/9.65 | | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | | End of split % 60.95/9.65 | | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | | End of split % 60.95/9.65 | | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | | End of split % 60.95/9.65 | | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | End of split % 60.95/9.65 | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | End of split % 60.95/9.65 | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | Case 2: % 60.95/9.65 | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | (465) all_26_3 = e21 | all_26_5 = e21 | all_26_10 = e21 % 60.95/9.65 | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | REF_CLOSE: (4), (92), (121), (127), (348), (356), (465) are % 60.95/9.65 | | | | | | | | | | | | | | | inconsistent by sub-proof #122. % 60.95/9.65 | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | End of split % 60.95/9.65 | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | Case 2: % 60.95/9.65 | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | (466) all_26_1 = e22 | all_26_4 = e22 | all_26_9 = e22 % 60.95/9.65 | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | BETA: splitting (466) gives: % 60.95/9.65 | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | Case 1: % 60.95/9.65 | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | (467) all_26_1 = e22 % 60.95/9.65 | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | REF_CLOSE: (53), (357), (467) are inconsistent by sub-proof % 60.95/9.65 | | | | | | | | | | | | | | | #72. % 60.95/9.65 | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | Case 2: % 60.95/9.65 | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | (468) all_26_4 = e22 | all_26_9 = e22 % 60.95/9.65 | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | BETA: splitting (468) gives: % 60.95/9.65 | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | Case 1: % 60.95/9.65 | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | (469) all_26_4 = e22 % 60.95/9.65 | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | COMBINE_EQS: (31), (469) imply: % 60.95/9.65 | | | | | | | | | | | | | | | | (470) all_14_8 = e22 % 60.95/9.65 | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | SIMP: (470) implies: % 60.95/9.65 | | | | | | | | | | | | | | | | (471) all_14_8 = e22 % 60.95/9.65 | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | REDUCE: (87), (471) imply: % 60.95/9.65 | | | | | | | | | | | | | | | | (472) $false % 60.95/9.65 | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | CLOSE: (472) is inconsistent. % 60.95/9.65 | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | Case 2: % 60.95/9.65 | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | (473) all_26_9 = e22 % 60.95/9.65 | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | COMBINE_EQS: (104), (473) imply: % 60.95/9.65 | | | | | | | | | | | | | | | | (474) e22 = e20 % 60.95/9.65 | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | REDUCE: (122), (474) imply: % 60.95/9.65 | | | | | | | | | | | | | | | | (475) $false % 60.95/9.65 | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | | CLOSE: (475) is inconsistent. % 60.95/9.65 | | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | | End of split % 60.95/9.65 | | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | | End of split % 60.95/9.65 | | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | End of split % 60.95/9.65 | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | End of split % 60.95/9.65 | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | Case 2: % 60.95/9.65 | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | (476) (all_22_14 = e21 & ( ~ (all_22_10 = e21) | % 60.95/9.65 | | | | | | | | | | | | all_22_6 = e23) & ( ~ (all_22_12 = e21) | % 60.95/9.65 | | | | | | | | | | | | all_22_7 = e22) & ( ~ (all_22_15 = e21) | % 60.95/9.65 | | | | | | | | | | | | all_22_8 = e20)) | (all_22_15 = e20 & ( ~ % 60.95/9.65 | | | | | | | | | | | | (all_22_10 = e20) | all_22_9 = e23) & ( ~ % 60.95/9.65 | | | | | | | | | | | | (all_22_12 = e20) | all_22_11 = e22) & ( ~ % 60.95/9.65 | | | | | | | | | | | | (all_22_14 = e20) | all_22_13 = e21)) % 60.95/9.65 | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | REF_CLOSE: (4), (37), (83), (122), (476) are inconsistent by % 60.95/9.65 | | | | | | | | | | | | sub-proof #103. % 60.95/9.65 | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | End of split % 60.95/9.65 | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | End of split % 60.95/9.65 | | | | | | | | | | % 60.95/9.65 | | | | | | | | | Case 2: % 60.95/9.65 | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | (477) all_26_7 = e20 | all_26_8 = e20 | all_26_11 = e20 % 60.95/9.65 | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | BETA: splitting (477) gives: % 60.95/9.65 | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | Case 1: % 60.95/9.65 | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | (478) all_26_7 = e20 % 60.95/9.65 | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | REF_CLOSE: (22), (331), (478) are inconsistent by sub-proof % 60.95/9.65 | | | | | | | | | | | #165. % 60.95/9.65 | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | Case 2: % 60.95/9.65 | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | (479) all_26_8 = e20 | all_26_11 = e20 % 60.95/9.65 | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | BETA: splitting (479) gives: % 60.95/9.65 | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | Case 1: % 60.95/9.65 | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | (480) all_26_8 = e20 % 60.95/9.65 | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | REF_CLOSE: (64), (131), (480) are inconsistent by sub-proof % 60.95/9.65 | | | | | | | | | | | | #98. % 60.95/9.65 | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | Case 2: % 60.95/9.65 | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | (481) all_26_11 = e20 % 60.95/9.65 | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | COMBINE_EQS: (116), (481) imply: % 60.95/9.65 | | | | | | | | | | | | (482) e22 = e20 % 60.95/9.65 | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | SIMP: (482) implies: % 60.95/9.65 | | | | | | | | | | | | (483) e22 = e20 % 60.95/9.65 | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | REDUCE: (122), (483) imply: % 60.95/9.65 | | | | | | | | | | | | (484) $false % 60.95/9.65 | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | CLOSE: (484) is inconsistent. % 60.95/9.65 | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | End of split % 60.95/9.65 | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | End of split % 60.95/9.65 | | | | | | | | | | % 60.95/9.65 | | | | | | | | | End of split % 60.95/9.65 | | | | | | | | | % 60.95/9.65 | | | | | | | | Case 2: % 60.95/9.65 | | | | | | | | | % 60.95/9.65 | | | | | | | | | (485) all_26_14 = e20 % 60.95/9.65 | | | | | | | | | % 60.95/9.65 | | | | | | | | | REF_CLOSE: (56), (122), (485) are inconsistent by sub-proof % 60.95/9.65 | | | | | | | | | #97. % 60.95/9.65 | | | | | | | | | % 60.95/9.65 | | | | | | | | End of split % 60.95/9.65 | | | | | | | | % 60.95/9.65 | | | | | | | End of split % 60.95/9.65 | | | | | | | % 60.95/9.65 | | | | | | End of split % 60.95/9.65 | | | | | | % 60.95/9.65 | | | | | End of split % 60.95/9.65 | | | | | % 60.95/9.65 | | | | Case 2: % 60.95/9.65 | | | | | % 60.95/9.65 | | | | | (486) ~ (all_18_6 = e20) % 60.95/9.65 | | | | | (487) all_18_6 = e23 | all_18_6 = e22 | all_18_6 = e21 % 60.95/9.65 | | | | | % 60.95/9.65 | | | | | REDUCE: (5), (486) imply: % 60.95/9.65 | | | | | (488) ~ (all_14_9 = e20) % 60.95/9.65 | | | | | % 60.95/9.65 | | | | | BETA: splitting (487) gives: % 60.95/9.65 | | | | | % 60.95/9.65 | | | | | Case 1: % 60.95/9.65 | | | | | | % 60.95/9.65 | | | | | | (489) all_18_6 = e22 % 60.95/9.65 | | | | | | % 60.95/9.65 | | | | | | REF_CLOSE: (5), (75), (489) are inconsistent by sub-proof #102. % 60.95/9.65 | | | | | | % 60.95/9.65 | | | | | Case 2: % 60.95/9.65 | | | | | | % 60.95/9.65 | | | | | | (490) all_18_6 = e23 | all_18_6 = e21 % 60.95/9.65 | | | | | | % 60.95/9.65 | | | | | | BETA: splitting (490) gives: % 60.95/9.65 | | | | | | % 60.95/9.65 | | | | | | Case 1: % 60.95/9.65 | | | | | | | % 60.95/9.65 | | | | | | | (491) all_18_6 = e21 % 60.95/9.65 | | | | | | | % 60.95/9.65 | | | | | | | COMBINE_EQS: (5), (491) imply: % 60.95/9.65 | | | | | | | (492) all_14_9 = e21 % 60.95/9.65 | | | | | | | % 60.95/9.65 | | | | | | | SIMP: (492) implies: % 60.95/9.65 | | | | | | | (493) all_14_9 = e21 % 60.95/9.65 | | | | | | | % 60.95/9.65 | | | | | | | COMBINE_EQS: (46), (493) imply: % 60.95/9.65 | | | | | | | (494) all_22_7 = e21 % 60.95/9.65 | | | | | | | % 60.95/9.65 | | | | | | | REDUCE: (24), (493) imply: % 60.95/9.65 | | | | | | | (495) ~ (all_14_8 = e21) % 60.95/9.65 | | | | | | | % 60.95/9.65 | | | | | | | REDUCE: (49), (493) imply: % 60.95/9.65 | | | | | | | (496) ~ (all_6_2 = e21) % 60.95/9.65 | | | | | | | % 60.95/9.65 | | | | | | | SIMP: (496) implies: % 60.95/9.65 | | | | | | | (497) ~ (all_6_2 = e21) % 60.95/9.65 | | | | | | | % 60.95/9.65 | | | | | | | REDUCE: (17), (493) imply: % 60.95/9.65 | | | | | | | (498) ~ (all_4_2 = e21) % 60.95/9.65 | | | | | | | % 60.95/9.65 | | | | | | | SIMP: (498) implies: % 60.95/9.65 | | | | | | | (499) ~ (all_4_2 = e21) % 60.95/9.65 | | | | | | | % 60.95/9.65 | | | | | | | BETA: splitting (99) gives: % 60.95/9.65 | | | | | | | % 60.95/9.65 | | | | | | | Case 1: % 60.95/9.65 | | | | | | | | % 60.95/9.65 | | | | | | | | (500) all_18_2 = e20 % 60.95/9.65 | | | | | | | | % 60.95/9.65 | | | | | | | | COMBINE_EQS: (90), (500) imply: % 60.95/9.65 | | | | | | | | (501) all_14_8 = e20 % 60.95/9.65 | | | | | | | | % 60.95/9.65 | | | | | | | | SIMP: (501) implies: % 60.95/9.65 | | | | | | | | (502) all_14_8 = e20 % 60.95/9.65 | | | | | | | | % 60.95/9.65 | | | | | | | | REDUCE: (109), (502) imply: % 60.95/9.65 | | | | | | | | (503) $false % 60.95/9.65 | | | | | | | | % 60.95/9.65 | | | | | | | | CLOSE: (503) is inconsistent. % 60.95/9.65 | | | | | | | | % 60.95/9.65 | | | | | | | Case 2: % 60.95/9.65 | | | | | | | | % 60.95/9.65 | | | | | | | | (504) all_18_2 = e23 | all_18_2 = e22 | all_18_2 = e21 % 60.95/9.65 | | | | | | | | % 60.95/9.65 | | | | | | | | BETA: splitting (504) gives: % 60.95/9.65 | | | | | | | | % 60.95/9.65 | | | | | | | | Case 1: % 60.95/9.65 | | | | | | | | | % 60.95/9.65 | | | | | | | | | (505) all_18_2 = e22 % 60.95/9.65 | | | | | | | | | % 60.95/9.65 | | | | | | | | | COMBINE_EQS: (90), (505) imply: % 60.95/9.65 | | | | | | | | | (506) all_14_8 = e22 % 60.95/9.65 | | | | | | | | | % 60.95/9.65 | | | | | | | | | SIMP: (506) implies: % 60.95/9.65 | | | | | | | | | (507) all_14_8 = e22 % 60.95/9.65 | | | | | | | | | % 60.95/9.65 | | | | | | | | | REDUCE: (87), (507) imply: % 60.95/9.65 | | | | | | | | | (508) $false % 60.95/9.65 | | | | | | | | | % 60.95/9.65 | | | | | | | | | CLOSE: (508) is inconsistent. % 60.95/9.65 | | | | | | | | | % 60.95/9.65 | | | | | | | | Case 2: % 60.95/9.65 | | | | | | | | | % 60.95/9.65 | | | | | | | | | (509) all_18_2 = e23 | all_18_2 = e21 % 60.95/9.65 | | | | | | | | | % 60.95/9.65 | | | | | | | | | BETA: splitting (509) gives: % 60.95/9.65 | | | | | | | | | % 60.95/9.65 | | | | | | | | | Case 1: % 60.95/9.65 | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | (510) all_18_2 = e21 % 60.95/9.65 | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | COMBINE_EQS: (90), (510) imply: % 60.95/9.65 | | | | | | | | | | (511) all_14_8 = e21 % 60.95/9.65 | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | SIMP: (511) implies: % 60.95/9.65 | | | | | | | | | | (512) all_14_8 = e21 % 60.95/9.65 | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | REDUCE: (495), (512) imply: % 60.95/9.65 | | | | | | | | | | (513) $false % 60.95/9.65 | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | CLOSE: (513) is inconsistent. % 60.95/9.65 | | | | | | | | | | % 60.95/9.65 | | | | | | | | | Case 2: % 60.95/9.65 | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | (514) all_18_2 = e23 % 60.95/9.65 | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | COMBINE_EQS: (90), (514) imply: % 60.95/9.65 | | | | | | | | | | (515) all_14_8 = e23 % 60.95/9.65 | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | SIMP: (515) implies: % 60.95/9.65 | | | | | | | | | | (516) all_14_8 = e23 % 60.95/9.65 | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | REDUCE: (52), (516) imply: % 60.95/9.65 | | | | | | | | | | (517) ~ (all_14_4 = e23) % 60.95/9.65 | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | REDUCE: (62), (516) imply: % 60.95/9.65 | | | | | | | | | | (518) ~ (all_8_2 = e23) % 60.95/9.65 | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | SIMP: (518) implies: % 60.95/9.65 | | | | | | | | | | (519) ~ (all_8_2 = e23) % 60.95/9.65 | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | REDUCE: (28), (516) imply: % 60.95/9.65 | | | | | | | | | | (520) ~ (all_4_2 = e23) % 60.95/9.65 | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | SIMP: (520) implies: % 60.95/9.65 | | | | | | | | | | (521) ~ (all_4_2 = e23) % 60.95/9.65 | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | REDUCE: (495), (516) imply: % 60.95/9.65 | | | | | | | | | | (522) ~ (e23 = e21) % 60.95/9.65 | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | BETA: splitting (13) gives: % 60.95/9.65 | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | Case 1: % 60.95/9.65 | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | (523) (all_22_10 = e23 & ( ~ (all_22_12 = e23) | % 60.95/9.65 | | | | | | | | | | | all_22_0 = e22) & ( ~ (all_22_14 = e23) | % 60.95/9.65 | | | | | | | | | | | all_22_1 = e21) & ( ~ (all_22_15 = e23) | % 60.95/9.65 | | | | | | | | | | | all_22_2 = e20)) | (all_22_12 = e22 & ( ~ % 60.95/9.65 | | | | | | | | | | | (all_22_10 = e22) | all_22_3 = e23) & ( ~ % 60.95/9.65 | | | | | | | | | | | (all_22_14 = e22) | all_22_4 = e21) & ( ~ % 60.95/9.65 | | | | | | | | | | | (all_22_15 = e22) | all_22_5 = e20)) % 60.95/9.65 | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | BETA: splitting (523) gives: % 60.95/9.65 | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | Case 1: % 60.95/9.65 | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | (524) all_22_10 = e23 & ( ~ (all_22_12 = e23) | all_22_0 % 60.95/9.65 | | | | | | | | | | | | = e22) & ( ~ (all_22_14 = e23) | all_22_1 = e21) % 60.95/9.65 | | | | | | | | | | | | & ( ~ (all_22_15 = e23) | all_22_2 = e20) % 60.95/9.65 | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | REF_CLOSE: (20), (519), (524) are inconsistent by sub-proof % 60.95/9.65 | | | | | | | | | | | | #92. % 60.95/9.65 | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | Case 2: % 60.95/9.65 | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | (525) all_22_12 = e22 & ( ~ (all_22_10 = e22) | all_22_3 % 60.95/9.65 | | | | | | | | | | | | = e23) & ( ~ (all_22_14 = e22) | all_22_4 = e21) % 60.95/9.65 | | | | | | | | | | | | & ( ~ (all_22_15 = e22) | all_22_5 = e20) % 60.95/9.65 | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | ALPHA: (525) implies: % 60.95/9.65 | | | | | | | | | | | | (526) all_22_12 = e22 % 60.95/9.65 | | | | | | | | | | | | (527) ~ (all_22_10 = e22) | all_22_3 = e23 % 60.95/9.65 | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | COMBINE_EQS: (16), (526) imply: % 60.95/9.65 | | | | | | | | | | | | (528) all_6_2 = e22 % 60.95/9.65 | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | SIMP: (528) implies: % 60.95/9.65 | | | | | | | | | | | | (529) all_6_2 = e22 % 60.95/9.65 | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | REDUCE: (76), (529) imply: % 60.95/9.65 | | | | | | | | | | | | (530) ~ (all_14_1 = e22) % 60.95/9.65 | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | REDUCE: (2), (529) imply: % 60.95/9.65 | | | | | | | | | | | | (531) ~ (e23 = e22) % 60.95/9.65 | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | SIMP: (531) implies: % 60.95/9.65 | | | | | | | | | | | | (532) ~ (e23 = e22) % 60.95/9.65 | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | BETA: splitting (527) gives: % 60.95/9.65 | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | Case 1: % 60.95/9.65 | | | | | | | | | | | | | % 60.95/9.65 | | | | | | | | | | | | | (533) ~ (all_22_10 = e22) % 60.95/9.66 | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | REDUCE: (20), (533) imply: % 60.95/9.66 | | | | | | | | | | | | | (534) ~ (all_8_2 = e22) % 60.95/9.66 | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | BETA: splitting (69) gives: % 60.95/9.66 | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | Case 1: % 60.95/9.66 | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | (535) all_18_10 = e20 % 60.95/9.66 | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | COMBINE_EQS: (30), (535) imply: % 60.95/9.66 | | | | | | | | | | | | | | (536) all_4_2 = e20 % 60.95/9.66 | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | SIMP: (536) implies: % 60.95/9.66 | | | | | | | | | | | | | | (537) all_4_2 = e20 % 60.95/9.66 | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | COMBINE_EQS: (74), (537) imply: % 60.95/9.66 | | | | | | | | | | | | | | (538) all_22_14 = e20 % 60.95/9.66 | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | REDUCE: (521), (537) imply: % 60.95/9.66 | | | | | | | | | | | | | | (539) ~ (e23 = e20) % 60.95/9.66 | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | REDUCE: (120), (537) imply: % 60.95/9.66 | | | | | | | | | | | | | | (540) ~ (e22 = e20) % 60.95/9.66 | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | REDUCE: (499), (537) imply: % 60.95/9.66 | | | | | | | | | | | | | | (541) ~ (e21 = e20) % 60.95/9.66 | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | BETA: splitting (61) gives: % 60.95/9.66 | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | Case 1: % 60.95/9.66 | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | (542) all_18_0 = e20 % 60.95/9.66 | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | REF_CLOSE: (9), (112), (542) are inconsistent by sub-proof % 60.95/9.66 | | | | | | | | | | | | | | | #168. % 60.95/9.66 | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | Case 2: % 60.95/9.66 | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | (543) all_18_0 = e23 | all_18_0 = e22 | all_18_0 = e21 % 60.95/9.66 | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | BETA: splitting (543) gives: % 60.95/9.66 | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | Case 1: % 60.95/9.66 | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | (544) all_18_0 = e22 % 60.95/9.66 | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | COMBINE_EQS: (9), (544) imply: % 60.95/9.66 | | | | | | | | | | | | | | | | (545) all_8_2 = e22 % 60.95/9.66 | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | SIMP: (545) implies: % 60.95/9.66 | | | | | | | | | | | | | | | | (546) all_8_2 = e22 % 60.95/9.66 | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | REDUCE: (534), (546) imply: % 60.95/9.66 | | | | | | | | | | | | | | | | (547) $false % 60.95/9.66 | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | CLOSE: (547) is inconsistent. % 60.95/9.66 | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | Case 2: % 60.95/9.66 | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | (548) ~ (all_18_0 = e22) % 60.95/9.66 | | | | | | | | | | | | | | | | (549) all_18_0 = e23 | all_18_0 = e21 % 60.95/9.66 | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | BETA: splitting (3) gives: % 60.95/9.66 | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | Case 1: % 60.95/9.66 | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | (550) (all_22_0 = e22 & all_22_14 = e23 & ~ (all_22_1 = % 60.95/9.66 | | | | | | | | | | | | | | | | | e21) & ~ (all_22_12 = e23)) | (all_22_0 = e22 % 60.95/9.66 | | | | | | | | | | | | | | | | | & all_22_15 = e23 & ~ (all_22_2 = e20) & ~ % 60.95/9.66 | | | | | | | | | | | | | | | | | (all_22_12 = e23)) | (all_22_1 = e21 & all_22_12 % 60.95/9.66 | | | | | | | | | | | | | | | | | = e23 & ~ (all_22_0 = e22) & ~ (all_22_14 = % 60.95/9.66 | | | | | | | | | | | | | | | | | e23)) | (all_22_1 = e21 & all_22_15 = e23 & ~ % 60.95/9.66 | | | | | | | | | | | | | | | | | (all_22_2 = e20) & ~ (all_22_14 = e23)) | % 60.95/9.66 | | | | | | | | | | | | | | | | | (all_22_2 = e20 & all_22_12 = e23 & ~ (all_22_0 = % 60.95/9.66 | | | | | | | | | | | | | | | | | e22) & ~ (all_22_15 = e23)) | (all_22_2 = e20 % 60.95/9.66 | | | | | | | | | | | | | | | | | & all_22_14 = e23 & ~ (all_22_1 = e21) & ~ % 60.95/9.66 | | | | | | | | | | | | | | | | | (all_22_15 = e23)) | (all_22_3 = e23 & all_22_14 % 60.95/9.66 | | | | | | | | | | | | | | | | | = e22 & ~ (all_22_4 = e21) & ~ (all_22_10 = % 60.95/9.66 | | | | | | | | | | | | | | | | | e22)) | (all_22_3 = e23 & all_22_15 = e22 & ~ % 60.95/9.66 | | | | | | | | | | | | | | | | | (all_22_5 = e20) & ~ (all_22_10 = e22)) | % 60.95/9.66 | | | | | | | | | | | | | | | | | (all_22_4 = e21 & all_22_10 = e22 & ~ (all_22_3 = % 60.95/9.66 | | | | | | | | | | | | | | | | | e23) & ~ (all_22_14 = e22)) | (all_22_4 = e21 % 60.95/9.66 | | | | | | | | | | | | | | | | | & all_22_15 = e22 & ~ (all_22_5 = e20) & ~ % 60.95/9.66 | | | | | | | | | | | | | | | | | (all_22_14 = e22)) | (all_22_5 = e20 & all_22_10 % 60.95/9.66 | | | | | | | | | | | | | | | | | = e22 & ~ (all_22_3 = e23) & ~ (all_22_15 = % 60.95/9.66 | | | | | | | | | | | | | | | | | e22)) | (all_22_5 = e20 & all_22_14 = e22 & ~ % 60.95/9.66 | | | | | | | | | | | | | | | | | (all_22_4 = e21) & ~ (all_22_15 = e22)) % 60.95/9.66 | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | BETA: splitting (550) gives: % 60.95/9.66 | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | Case 1: % 60.95/9.66 | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | (551) (all_22_0 = e22 & all_22_14 = e23 & ~ (all_22_1 = % 60.95/9.66 | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_12 = e23)) | (all_22_0 = e22 % 60.95/9.66 | | | | | | | | | | | | | | | | | | & all_22_15 = e23 & ~ (all_22_2 = e20) & ~ % 60.95/9.66 | | | | | | | | | | | | | | | | | | (all_22_12 = e23)) | (all_22_1 = e21 & all_22_12 % 60.95/9.66 | | | | | | | | | | | | | | | | | | = e23 & ~ (all_22_0 = e22) & ~ (all_22_14 = % 60.95/9.66 | | | | | | | | | | | | | | | | | | e23)) | (all_22_1 = e21 & all_22_15 = e23 & ~ % 60.95/9.66 | | | | | | | | | | | | | | | | | | (all_22_2 = e20) & ~ (all_22_14 = e23)) | % 60.95/9.66 | | | | | | | | | | | | | | | | | | (all_22_2 = e20 & all_22_12 = e23 & ~ (all_22_0 = % 60.95/9.66 | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_15 = e23)) | (all_22_2 = e20 % 60.95/9.66 | | | | | | | | | | | | | | | | | | & all_22_14 = e23 & ~ (all_22_1 = e21) & ~ % 60.95/9.66 | | | | | | | | | | | | | | | | | | (all_22_15 = e23)) % 60.95/9.66 | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | BETA: splitting (551) gives: % 60.95/9.66 | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | Case 1: % 60.95/9.66 | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | (552) (all_22_0 = e22 & all_22_14 = e23 & ~ (all_22_1 = % 60.95/9.66 | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_12 = e23)) | (all_22_0 = e22 % 60.95/9.66 | | | | | | | | | | | | | | | | | | | & all_22_15 = e23 & ~ (all_22_2 = e20) & ~ % 60.95/9.66 | | | | | | | | | | | | | | | | | | | (all_22_12 = e23)) | (all_22_1 = e21 & all_22_12 % 60.95/9.66 | | | | | | | | | | | | | | | | | | | = e23 & ~ (all_22_0 = e22) & ~ (all_22_14 = % 60.95/9.66 | | | | | | | | | | | | | | | | | | | e23)) % 60.95/9.66 | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | BETA: splitting (552) gives: % 60.95/9.66 | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | Case 1: % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | (553) all_22_0 = e22 & all_22_14 = e23 & ~ (all_22_1 = % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_12 = e23) % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | ALPHA: (553) implies: % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | (554) all_22_14 = e23 % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (538), (554) imply: % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | (555) e23 = e20 % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | REDUCE: (89), (555) imply: % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | (556) $false % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | CLOSE: (556) is inconsistent. % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | Case 2: % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | (557) (all_22_0 = e22 & all_22_15 = e23 & ~ (all_22_2 = % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_12 = e23)) | (all_22_1 = e21 % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | & all_22_12 = e23 & ~ (all_22_0 = e22) & ~ % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | (all_22_14 = e23)) % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (37), (522), (526), (532), (557) are inconsistent % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | by sub-proof #67. % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | End of split % 60.95/9.66 | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | Case 2: % 60.95/9.66 | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | (558) (all_22_1 = e21 & all_22_15 = e23 & ~ (all_22_2 = % 60.95/9.66 | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_14 = e23)) | (all_22_2 = e20 % 60.95/9.66 | | | | | | | | | | | | | | | | | | | & all_22_12 = e23 & ~ (all_22_0 = e22) & ~ % 60.95/9.66 | | | | | | | | | | | | | | | | | | | (all_22_15 = e23)) | (all_22_2 = e20 & all_22_14 % 60.95/9.66 | | | | | | | | | | | | | | | | | | | = e23 & ~ (all_22_1 = e21) & ~ (all_22_15 = % 60.95/9.66 | | | | | | | | | | | | | | | | | | | e23)) % 60.95/9.66 | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | BETA: splitting (558) gives: % 60.95/9.66 | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | Case 1: % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | (559) all_22_1 = e21 & all_22_15 = e23 & ~ (all_22_2 = % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_14 = e23) % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (37), (522), (559) are inconsistent by sub-proof % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | #159. % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | Case 2: % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | (560) (all_22_2 = e20 & all_22_12 = e23 & ~ (all_22_0 = % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_15 = e23)) | (all_22_2 = e20 % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | & all_22_14 = e23 & ~ (all_22_1 = e21) & ~ % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | (all_22_15 = e23)) % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | BETA: splitting (560) gives: % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | Case 1: % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | (561) all_22_2 = e20 & all_22_12 = e23 & ~ (all_22_0 = % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_15 = e23) % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | ALPHA: (561) implies: % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | (562) all_22_2 = e20 % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19), (562) imply: % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | (563) all_14_3 = e20 % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (63), (563) imply: % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | (564) all_26_12 = e20 % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (59), (79), (82), (95), (117), (122), (530), % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | (534), (564) are inconsistent by sub-proof #107. % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | Case 2: % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | (565) all_22_2 = e20 & all_22_14 = e23 & ~ (all_22_1 = % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_15 = e23) % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | ALPHA: (565) implies: % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | (566) all_22_2 = e20 % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19), (566) imply: % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | (567) all_14_3 = e20 % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (63), (567) imply: % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | (568) all_26_12 = e20 % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (59), (79), (82), (95), (117), (122), (530), % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | (534), (568) are inconsistent by sub-proof #107. % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | End of split % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | End of split % 60.95/9.66 | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | End of split % 60.95/9.66 | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | Case 2: % 60.95/9.66 | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | (569) (all_22_3 = e23 & all_22_14 = e22 & ~ (all_22_4 = % 60.95/9.66 | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_10 = e22)) | (all_22_3 = e23 % 60.95/9.66 | | | | | | | | | | | | | | | | | | & all_22_15 = e22 & ~ (all_22_5 = e20) & ~ % 60.95/9.66 | | | | | | | | | | | | | | | | | | (all_22_10 = e22)) | (all_22_4 = e21 & all_22_10 % 60.95/9.66 | | | | | | | | | | | | | | | | | | = e22 & ~ (all_22_3 = e23) & ~ (all_22_14 = % 60.95/9.66 | | | | | | | | | | | | | | | | | | e22)) | (all_22_4 = e21 & all_22_15 = e22 & ~ % 60.95/9.66 | | | | | | | | | | | | | | | | | | (all_22_5 = e20) & ~ (all_22_14 = e22)) | % 60.95/9.66 | | | | | | | | | | | | | | | | | | (all_22_5 = e20 & all_22_10 = e22 & ~ (all_22_3 = % 60.95/9.66 | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_15 = e22)) | (all_22_5 = e20 % 60.95/9.66 | | | | | | | | | | | | | | | | | | & all_22_14 = e22 & ~ (all_22_4 = e21) & ~ % 60.95/9.66 | | | | | | | | | | | | | | | | | | (all_22_15 = e22)) % 60.95/9.66 | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | BETA: splitting (569) gives: % 60.95/9.66 | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | Case 1: % 60.95/9.66 | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | (570) (all_22_3 = e23 & all_22_14 = e22 & ~ (all_22_4 = % 60.95/9.66 | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_10 = e22)) | (all_22_3 = e23 % 60.95/9.66 | | | | | | | | | | | | | | | | | | | & all_22_15 = e22 & ~ (all_22_5 = e20) & ~ % 60.95/9.66 | | | | | | | | | | | | | | | | | | | (all_22_10 = e22)) | (all_22_4 = e21 & all_22_10 % 60.95/9.66 | | | | | | | | | | | | | | | | | | | = e22 & ~ (all_22_3 = e23) & ~ (all_22_14 = % 60.95/9.66 | | | | | | | | | | | | | | | | | | | e22)) % 60.95/9.66 | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | BETA: splitting (570) gives: % 60.95/9.66 | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | Case 1: % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | (571) all_22_3 = e23 & all_22_14 = e22 & ~ (all_22_4 = % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_10 = e22) % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | ALPHA: (571) implies: % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | (572) all_22_14 = e22 % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (538), (572) imply: % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | (573) e22 = e20 % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | REDUCE: (122), (573) imply: % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | (574) $false % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | CLOSE: (574) is inconsistent. % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | Case 2: % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | (575) (all_22_3 = e23 & all_22_15 = e22 & ~ (all_22_5 = % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_10 = e22)) | (all_22_4 = e21 % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | & all_22_10 = e22 & ~ (all_22_3 = e23) & ~ % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | (all_22_14 = e22)) % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (37), (121), (534), (575) are inconsistent % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | by sub-proof #88. % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | End of split % 60.95/9.66 | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | Case 2: % 60.95/9.66 | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | (576) (all_22_4 = e21 & all_22_15 = e22 & ~ (all_22_5 = % 60.95/9.66 | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_14 = e22)) | (all_22_5 = e20 % 60.95/9.66 | | | | | | | | | | | | | | | | | | | & all_22_10 = e22 & ~ (all_22_3 = e23) & ~ % 60.95/9.66 | | | | | | | | | | | | | | | | | | | (all_22_15 = e22)) | (all_22_5 = e20 & all_22_14 % 60.95/9.66 | | | | | | | | | | | | | | | | | | | = e22 & ~ (all_22_4 = e21) & ~ (all_22_15 = % 60.95/9.66 | | | | | | | | | | | | | | | | | | | e22)) % 60.95/9.66 | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | BETA: splitting (576) gives: % 60.95/9.66 | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | Case 1: % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | (577) all_22_4 = e21 & all_22_15 = e22 & ~ (all_22_5 = % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_14 = e22) % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (37), (121), (577) are inconsistent by sub-proof % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | #156. % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | Case 2: % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | (578) (all_22_5 = e20 & all_22_10 = e22 & ~ (all_22_3 = % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_15 = e22)) | (all_22_5 = e20 % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | & all_22_14 = e22 & ~ (all_22_4 = e21) & ~ % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | (all_22_15 = e22)) % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | BETA: splitting (578) gives: % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | Case 1: % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | (579) all_22_5 = e20 & all_22_10 = e22 & ~ (all_22_3 = % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_15 = e22) % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | ALPHA: (579) implies: % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | (580) all_22_10 = e22 % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (534), (580) are inconsistent by sub-proof % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | #89. % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | Case 2: % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | (581) all_22_5 = e20 & all_22_14 = e22 & ~ (all_22_4 = % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_15 = e22) % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | ALPHA: (581) implies: % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | (582) all_22_14 = e22 % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (538), (582) imply: % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | (583) e22 = e20 % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | REDUCE: (122), (583) imply: % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | (584) $false % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | CLOSE: (584) is inconsistent. % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | End of split % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | End of split % 60.95/9.66 | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | End of split % 60.95/9.66 | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | End of split % 60.95/9.66 | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | Case 2: % 60.95/9.66 | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | (585) (all_22_6 = e23 & all_22_12 = e21 & ~ (all_22_7 = % 60.95/9.66 | | | | | | | | | | | | | | | | | e22) & ~ (all_22_10 = e21)) | (all_22_6 = e23 % 60.95/9.66 | | | | | | | | | | | | | | | | | & all_22_15 = e21 & ~ (all_22_8 = e20) & ~ % 60.95/9.66 | | | | | | | | | | | | | | | | | (all_22_10 = e21)) | (all_22_7 = e22 & all_22_10 % 60.95/9.66 | | | | | | | | | | | | | | | | | = e21 & ~ (all_22_6 = e23) & ~ (all_22_12 = % 60.95/9.66 | | | | | | | | | | | | | | | | | e21)) | (all_22_7 = e22 & all_22_15 = e21 & ~ % 60.95/9.66 | | | | | | | | | | | | | | | | | (all_22_8 = e20) & ~ (all_22_12 = e21)) | % 60.95/9.66 | | | | | | | | | | | | | | | | | (all_22_8 = e20 & all_22_10 = e21 & ~ (all_22_6 = % 60.95/9.66 | | | | | | | | | | | | | | | | | e23) & ~ (all_22_15 = e21)) | (all_22_8 = e20 % 60.95/9.66 | | | | | | | | | | | | | | | | | & all_22_12 = e21 & ~ (all_22_7 = e22) & ~ % 60.95/9.66 | | | | | | | | | | | | | | | | | (all_22_15 = e21)) | (all_22_9 = e23 & all_22_12 % 60.95/9.66 | | | | | | | | | | | | | | | | | = e20 & ~ (all_22_10 = e20) & ~ (all_22_11 = % 60.95/9.66 | | | | | | | | | | | | | | | | | e22)) | (all_22_9 = e23 & all_22_14 = e20 & ~ % 60.95/9.66 | | | | | | | | | | | | | | | | | (all_22_10 = e20) & ~ (all_22_13 = e21)) | % 60.95/9.66 | | | | | | | | | | | | | | | | | (all_22_10 = e20 & all_22_11 = e22 & ~ (all_22_9 % 60.95/9.66 | | | | | | | | | | | | | | | | | = e23) & ~ (all_22_12 = e20)) | (all_22_10 = % 60.95/9.66 | | | | | | | | | | | | | | | | | e20 & all_22_13 = e21 & ~ (all_22_9 = e23) & ~ % 60.95/9.66 | | | | | | | | | | | | | | | | | (all_22_14 = e20)) | (all_22_11 = e22 & % 60.95/9.66 | | | | | | | | | | | | | | | | | all_22_14 = e20 & ~ (all_22_12 = e20) & ~ % 60.95/9.66 | | | | | | | | | | | | | | | | | (all_22_13 = e21)) | (all_22_12 = e20 & % 60.95/9.66 | | | | | | | | | | | | | | | | | all_22_13 = e21 & ~ (all_22_11 = e22) & ~ % 60.95/9.66 | | | | | | | | | | | | | | | | | (all_22_14 = e20)) % 60.95/9.66 | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | BETA: splitting (585) gives: % 60.95/9.66 | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | Case 1: % 60.95/9.66 | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | (586) (all_22_6 = e23 & all_22_12 = e21 & ~ (all_22_7 = % 60.95/9.66 | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_10 = e21)) | (all_22_6 = e23 % 60.95/9.66 | | | | | | | | | | | | | | | | | | & all_22_15 = e21 & ~ (all_22_8 = e20) & ~ % 60.95/9.66 | | | | | | | | | | | | | | | | | | (all_22_10 = e21)) | (all_22_7 = e22 & all_22_10 % 60.95/9.66 | | | | | | | | | | | | | | | | | | = e21 & ~ (all_22_6 = e23) & ~ (all_22_12 = % 60.95/9.66 | | | | | | | | | | | | | | | | | | e21)) | (all_22_7 = e22 & all_22_15 = e21 & ~ % 60.95/9.66 | | | | | | | | | | | | | | | | | | (all_22_8 = e20) & ~ (all_22_12 = e21)) | % 60.95/9.66 | | | | | | | | | | | | | | | | | | (all_22_8 = e20 & all_22_10 = e21 & ~ (all_22_6 = % 60.95/9.66 | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_15 = e21)) | (all_22_8 = e20 % 60.95/9.66 | | | | | | | | | | | | | | | | | | & all_22_12 = e21 & ~ (all_22_7 = e22) & ~ % 60.95/9.66 | | | | | | | | | | | | | | | | | | (all_22_15 = e21)) % 60.95/9.66 | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | BETA: splitting (586) gives: % 60.95/9.66 | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | Case 1: % 60.95/9.66 | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | (587) (all_22_6 = e23 & all_22_12 = e21 & ~ (all_22_7 = % 60.95/9.66 | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_10 = e21)) | (all_22_6 = e23 % 60.95/9.66 | | | | | | | | | | | | | | | | | | | & all_22_15 = e21 & ~ (all_22_8 = e20) & ~ % 60.95/9.66 | | | | | | | | | | | | | | | | | | | (all_22_10 = e21)) | (all_22_7 = e22 & all_22_10 % 60.95/9.66 | | | | | | | | | | | | | | | | | | | = e21 & ~ (all_22_6 = e23) & ~ (all_22_12 = % 60.95/9.66 | | | | | | | | | | | | | | | | | | | e21)) % 60.95/9.66 | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | BETA: splitting (587) gives: % 60.95/9.66 | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | Case 1: % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | (588) all_22_6 = e23 & all_22_12 = e21 & ~ (all_22_7 = % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_10 = e21) % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (121), (526), (588) are inconsistent by sub-proof % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | #136. % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | Case 2: % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | (589) (all_22_6 = e23 & all_22_15 = e21 & ~ (all_22_8 = % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_10 = e21)) | (all_22_7 = e22 % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | & all_22_10 = e21 & ~ (all_22_6 = e23) & ~ % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | (all_22_12 = e21)) % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | BETA: splitting (589) gives: % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | Case 1: % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | (590) all_22_6 = e23 & all_22_15 = e21 & ~ (all_22_8 = % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_10 = e21) % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | ALPHA: (590) implies: % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | (591) ~ (all_22_10 = e21) % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | REDUCE: (20), (591) imply: % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | (592) ~ (all_8_2 = e21) % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (519), (549), (592) are inconsistent by % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | sub-proof #121. % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | Case 2: % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | (593) all_22_7 = e22 & all_22_10 = e21 & ~ (all_22_6 = % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_12 = e21) % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | ALPHA: (593) implies: % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | (594) all_22_7 = e22 % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (594) imply: % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | (595) e22 = e21 % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (595) imply: % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | (596) $false % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | CLOSE: (596) is inconsistent. % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | End of split % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | End of split % 60.95/9.66 | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | Case 2: % 60.95/9.66 | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | (597) (all_22_7 = e22 & all_22_15 = e21 & ~ (all_22_8 = % 60.95/9.66 | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_12 = e21)) | (all_22_8 = e20 % 60.95/9.66 | | | | | | | | | | | | | | | | | | | & all_22_10 = e21 & ~ (all_22_6 = e23) & ~ % 60.95/9.66 | | | | | | | | | | | | | | | | | | | (all_22_15 = e21)) | (all_22_8 = e20 & all_22_12 % 60.95/9.66 | | | | | | | | | | | | | | | | | | | = e21 & ~ (all_22_7 = e22) & ~ (all_22_15 = % 60.95/9.66 | | | | | | | | | | | | | | | | | | | e21)) % 60.95/9.66 | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | BETA: splitting (597) gives: % 60.95/9.66 | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | Case 1: % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | (598) all_22_7 = e22 & all_22_15 = e21 & ~ (all_22_8 = % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_12 = e21) % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | ALPHA: (598) implies: % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | (599) all_22_7 = e22 % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (599) imply: % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | (600) e22 = e21 % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (600) imply: % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | (601) $false % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | CLOSE: (601) is inconsistent. % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | Case 2: % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | (602) (all_22_8 = e20 & all_22_10 = e21 & ~ (all_22_6 = % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_15 = e21)) | (all_22_8 = e20 % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | & all_22_12 = e21 & ~ (all_22_7 = e22) & ~ % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | (all_22_15 = e21)) % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | BETA: splitting (602) gives: % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | Case 1: % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | (603) all_22_8 = e20 & all_22_10 = e21 & ~ (all_22_6 = % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_15 = e21) % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (83), (122), (603) are inconsistent by sub-proof % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | #150. % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | Case 2: % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | (604) all_22_8 = e20 & all_22_12 = e21 & ~ (all_22_7 = % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_15 = e21) % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (83), (526), (604) are inconsistent by % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | sub-proof #69. % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | End of split % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | End of split % 60.95/9.66 | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | End of split % 60.95/9.66 | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | Case 2: % 60.95/9.66 | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | (605) (all_22_9 = e23 & all_22_12 = e20 & ~ (all_22_10 % 60.95/9.66 | | | | | | | | | | | | | | | | | | = e20) & ~ (all_22_11 = e22)) | (all_22_9 = % 60.95/9.66 | | | | | | | | | | | | | | | | | | e23 & all_22_14 = e20 & ~ (all_22_10 = e20) & % 60.95/9.66 | | | | | | | | | | | | | | | | | | ~ (all_22_13 = e21)) | (all_22_10 = e20 & % 60.95/9.66 | | | | | | | | | | | | | | | | | | all_22_11 = e22 & ~ (all_22_9 = e23) & ~ % 60.95/9.66 | | | | | | | | | | | | | | | | | | (all_22_12 = e20)) | (all_22_10 = e20 & % 60.95/9.66 | | | | | | | | | | | | | | | | | | all_22_13 = e21 & ~ (all_22_9 = e23) & ~ % 60.95/9.66 | | | | | | | | | | | | | | | | | | (all_22_14 = e20)) | (all_22_11 = e22 & % 60.95/9.66 | | | | | | | | | | | | | | | | | | all_22_14 = e20 & ~ (all_22_12 = e20) & ~ % 60.95/9.66 | | | | | | | | | | | | | | | | | | (all_22_13 = e21)) | (all_22_12 = e20 & % 60.95/9.66 | | | | | | | | | | | | | | | | | | all_22_13 = e21 & ~ (all_22_11 = e22) & ~ % 60.95/9.66 | | | | | | | | | | | | | | | | | | (all_22_14 = e20)) % 60.95/9.66 | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | BETA: splitting (605) gives: % 60.95/9.66 | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | Case 1: % 60.95/9.66 | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | (606) (all_22_9 = e23 & all_22_12 = e20 & ~ (all_22_10 % 60.95/9.66 | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_22_11 = e22)) | (all_22_9 = % 60.95/9.66 | | | | | | | | | | | | | | | | | | | e23 & all_22_14 = e20 & ~ (all_22_10 = e20) & % 60.95/9.66 | | | | | | | | | | | | | | | | | | | ~ (all_22_13 = e21)) | (all_22_10 = e20 & % 60.95/9.66 | | | | | | | | | | | | | | | | | | | all_22_11 = e22 & ~ (all_22_9 = e23) & ~ % 60.95/9.66 | | | | | | | | | | | | | | | | | | | (all_22_12 = e20)) % 60.95/9.66 | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | BETA: splitting (606) gives: % 60.95/9.66 | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | Case 1: % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | (607) all_22_9 = e23 & all_22_12 = e20 & ~ (all_22_10 = % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_11 = e22) % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (122), (526), (607) are inconsistent by sub-proof % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | #132. % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | Case 2: % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | (608) (all_22_9 = e23 & all_22_14 = e20 & ~ (all_22_10 % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_22_13 = e21)) | (all_22_10 = % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | e20 & all_22_11 = e22 & ~ (all_22_9 = e23) & ~ % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | (all_22_12 = e20)) % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | BETA: splitting (608) gives: % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | Case 1: % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | (609) all_22_9 = e23 & all_22_14 = e20 & ~ (all_22_10 = % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_13 = e21) % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | ALPHA: (609) implies: % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | (610) all_22_9 = e23 % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (89), (107), (610) are inconsistent by sub-proof % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | #74. % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | Case 2: % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | (611) all_22_10 = e20 & all_22_11 = e22 & ~ (all_22_9 = % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_12 = e20) % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | ALPHA: (611) implies: % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | (612) all_22_11 = e22 % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (532), (612) are inconsistent by sub-proof % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | #128. % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | End of split % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | End of split % 60.95/9.66 | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | Case 2: % 60.95/9.66 | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | (613) (all_22_10 = e20 & all_22_13 = e21 & ~ (all_22_9 % 60.95/9.66 | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_22_14 = e20)) | (all_22_11 = % 60.95/9.66 | | | | | | | | | | | | | | | | | | | e22 & all_22_14 = e20 & ~ (all_22_12 = e20) & % 60.95/9.66 | | | | | | | | | | | | | | | | | | | ~ (all_22_13 = e21)) | (all_22_12 = e20 & % 60.95/9.66 | | | | | | | | | | | | | | | | | | | all_22_13 = e21 & ~ (all_22_11 = e22) & ~ % 60.95/9.66 | | | | | | | | | | | | | | | | | | | (all_22_14 = e20)) % 60.95/9.66 | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | BETA: splitting (613) gives: % 60.95/9.66 | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | Case 1: % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | (614) all_22_10 = e20 & all_22_13 = e21 & ~ (all_22_9 = % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_14 = e20) % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | ALPHA: (614) implies: % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | (615) all_22_13 = e21 % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (115), (615) imply: % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | (616) e22 = e21 % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | SIMP: (616) implies: % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | (617) e22 = e21 % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (617) imply: % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | (618) $false % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | CLOSE: (618) is inconsistent. % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | Case 2: % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | (619) (all_22_11 = e22 & all_22_14 = e20 & ~ (all_22_12 % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_22_13 = e21)) | (all_22_12 = % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | e20 & all_22_13 = e21 & ~ (all_22_11 = e22) & % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | ~ (all_22_14 = e20)) % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | BETA: splitting (619) gives: % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | Case 1: % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | (620) all_22_11 = e22 & all_22_14 = e20 & ~ (all_22_12 % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_22_13 = e21) % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | ALPHA: (620) implies: % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | (621) all_22_11 = e22 % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (532), (621) are inconsistent by sub-proof % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | #128. % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | Case 2: % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | (622) all_22_12 = e20 & all_22_13 = e21 & ~ (all_22_11 % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_22_14 = e20) % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | ALPHA: (622) implies: % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | (623) all_22_13 = e21 % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | (624) all_22_12 = e20 % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (526), (624) imply: % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | (625) e22 = e20 % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (115), (623) imply: % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | (626) e22 = e21 % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | SIMP: (626) implies: % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | (627) e22 = e21 % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (625), (627) are inconsistent by sub-proof % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | #134. % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | End of split % 60.95/9.66 | | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | | End of split % 60.95/9.66 | | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | | End of split % 60.95/9.66 | | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | | End of split % 60.95/9.66 | | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | | End of split % 60.95/9.66 | | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | | End of split % 60.95/9.66 | | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | End of split % 60.95/9.66 | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | Case 2: % 60.95/9.66 | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | (628) all_18_10 = e23 | all_18_10 = e22 | all_18_10 = % 60.95/9.66 | | | | | | | | | | | | | | e21 % 60.95/9.66 | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | | REF_CLOSE: (30), (120), (499), (521), (628) are inconsistent % 60.95/9.66 | | | | | | | | | | | | | | by sub-proof #83. % 60.95/9.66 | | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | End of split % 60.95/9.66 | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | Case 2: % 60.95/9.66 | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | (629) all_22_3 = e23 % 60.95/9.66 | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | COMBINE_EQS: (11), (629) imply: % 60.95/9.66 | | | | | | | | | | | | | (630) all_14_4 = e23 % 60.95/9.66 | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | SIMP: (630) implies: % 60.95/9.66 | | | | | | | | | | | | | (631) all_14_4 = e23 % 60.95/9.66 | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | REDUCE: (517), (631) imply: % 60.95/9.66 | | | | | | | | | | | | | (632) $false % 60.95/9.66 | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | | CLOSE: (632) is inconsistent. % 60.95/9.66 | | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | | End of split % 60.95/9.66 | | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | End of split % 60.95/9.66 | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | Case 2: % 60.95/9.66 | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | (633) (all_22_14 = e21 & ( ~ (all_22_10 = e21) | % 60.95/9.66 | | | | | | | | | | | all_22_6 = e23) & ( ~ (all_22_12 = e21) | % 60.95/9.66 | | | | | | | | | | | all_22_7 = e22) & ( ~ (all_22_15 = e21) | % 60.95/9.66 | | | | | | | | | | | all_22_8 = e20)) | (all_22_15 = e20 & ( ~ % 60.95/9.66 | | | | | | | | | | | (all_22_10 = e20) | all_22_9 = e23) & ( ~ % 60.95/9.66 | | | | | | | | | | | (all_22_12 = e20) | all_22_11 = e22) & ( ~ % 60.95/9.66 | | | | | | | | | | | (all_22_14 = e20) | all_22_13 = e21)) % 60.95/9.66 | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | | REF_CLOSE: (4), (37), (83), (122), (633) are inconsistent by % 60.95/9.66 | | | | | | | | | | | sub-proof #103. % 60.95/9.66 | | | | | | | | | | | % 60.95/9.66 | | | | | | | | | | End of split % 60.95/9.66 | | | | | | | | | | % 60.95/9.66 | | | | | | | | | End of split % 60.95/9.66 | | | | | | | | | % 60.95/9.66 | | | | | | | | End of split % 60.95/9.66 | | | | | | | | % 60.95/9.66 | | | | | | | End of split % 60.95/9.66 | | | | | | | % 60.95/9.66 | | | | | | Case 2: % 60.95/9.66 | | | | | | | % 60.95/9.66 | | | | | | | (634) all_18_6 = e23 % 60.95/9.66 | | | | | | | % 60.95/9.66 | | | | | | | REF_CLOSE: (5), (60), (634) are inconsistent by sub-proof #96. % 60.95/9.66 | | | | | | | % 60.95/9.66 | | | | | | End of split % 60.95/9.66 | | | | | | % 60.95/9.66 | | | | | End of split % 60.95/9.66 | | | | | % 60.95/9.66 | | | | End of split % 60.95/9.66 | | | | % 60.95/9.66 | | | Case 2: % 60.95/9.66 | | | | % 60.95/9.66 | | | | (635) all_18_11 = e23 | all_18_11 = e21 % 60.95/9.66 | | | | % 60.95/9.66 | | | | BETA: splitting (635) gives: % 60.95/9.66 | | | | % 60.95/9.66 | | | | Case 1: % 60.95/9.66 | | | | | % 60.95/9.66 | | | | | (636) all_18_11 = e21 % 60.95/9.66 | | | | | % 60.95/9.66 | | | | | COMBINE_EQS: (33), (636) imply: % 60.95/9.66 | | | | | (637) all_14_14 = e21 % 60.95/9.66 | | | | | % 60.95/9.66 | | | | | REDUCE: (91), (637) imply: % 60.95/9.66 | | | | | (638) $false % 60.95/9.66 | | | | | % 60.95/9.66 | | | | | CLOSE: (638) is inconsistent. % 60.95/9.66 | | | | | % 60.95/9.66 | | | | Case 2: % 60.95/9.66 | | | | | % 60.95/9.66 | | | | | (639) all_18_11 = e23 % 60.95/9.66 | | | | | % 60.95/9.66 | | | | | COMBINE_EQS: (33), (639) imply: % 60.95/9.66 | | | | | (640) all_14_14 = e23 % 60.95/9.66 | | | | | % 60.95/9.66 | | | | | REDUCE: (68), (640) imply: % 60.95/9.66 | | | | | (641) $false % 60.95/9.66 | | | | | % 60.95/9.66 | | | | | CLOSE: (641) is inconsistent. % 60.95/9.66 | | | | | % 60.95/9.66 | | | | End of split % 60.95/9.66 | | | | % 60.95/9.66 | | | End of split % 60.95/9.66 | | | % 60.95/9.66 | | Case 2: % 60.95/9.66 | | | % 60.95/9.66 | | | (642) all_26_10 = e20 | all_26_11 = e20 % 60.95/9.66 | | | % 60.95/9.66 | | | BETA: splitting (642) gives: % 60.95/9.66 | | | % 60.95/9.66 | | | Case 1: % 60.95/9.66 | | | | % 60.95/9.66 | | | | (643) all_26_10 = e20 % 60.95/9.66 | | | | % 60.95/9.66 | | | | COMBINE_EQS: (92), (643) imply: % 60.95/9.66 | | | | (644) e23 = e20 % 60.95/9.66 | | | | % 60.95/9.67 | | | | SIMP: (644) implies: % 60.95/9.67 | | | | (645) e23 = e20 % 60.95/9.67 | | | | % 60.95/9.67 | | | | REDUCE: (89), (645) imply: % 60.95/9.67 | | | | (646) $false % 60.95/9.67 | | | | % 60.95/9.67 | | | | CLOSE: (646) is inconsistent. % 60.95/9.67 | | | | % 60.95/9.67 | | | Case 2: % 60.95/9.67 | | | | % 60.95/9.67 | | | | (647) all_26_11 = e20 % 60.95/9.67 | | | | % 60.95/9.67 | | | | COMBINE_EQS: (35), (647) imply: % 60.95/9.67 | | | | (648) all_14_14 = e20 % 60.95/9.67 | | | | % 60.95/9.67 | | | | SIMP: (648) implies: % 60.95/9.67 | | | | (649) all_14_14 = e20 % 60.95/9.67 | | | | % 60.95/9.67 | | | | REDUCE: (34), (649) imply: % 60.95/9.67 | | | | (650) $false % 60.95/9.67 | | | | % 60.95/9.67 | | | | CLOSE: (650) is inconsistent. % 60.95/9.67 | | | | % 60.95/9.67 | | | End of split % 60.95/9.67 | | | % 60.95/9.67 | | End of split % 60.95/9.67 | | % 60.95/9.67 | End of split % 60.95/9.67 | % 60.95/9.67 End of proof % 60.95/9.67 % 60.95/9.67 Sub-proof #67 shows that the following formulas are inconsistent: % 60.95/9.67 ---------------------------------------------------------------- % 60.95/9.67 (1) ~ (e23 = e22) % 60.95/9.67 (2) all_22_15 = e21 % 60.95/9.67 (3) (all_22_0 = e22 & all_22_15 = e23 & ~ (all_22_2 = e20) & ~ (all_22_12 = % 60.95/9.67 e23)) | (all_22_1 = e21 & all_22_12 = e23 & ~ (all_22_0 = e22) & ~ % 60.95/9.67 (all_22_14 = e23)) % 60.95/9.67 (4) all_22_12 = e22 % 60.95/9.67 (5) ~ (e23 = e21) % 60.95/9.67 % 60.95/9.67 Begin of proof % 60.95/9.67 | % 60.95/9.67 | BETA: splitting (3) gives: % 60.95/9.67 | % 60.95/9.67 | Case 1: % 60.95/9.67 | | % 60.95/9.67 | | (6) all_22_0 = e22 & all_22_15 = e23 & ~ (all_22_2 = e20) & ~ % 60.95/9.67 | | (all_22_12 = e23) % 60.95/9.67 | | % 60.95/9.67 | | REF_CLOSE: (2), (5), (6) are inconsistent by sub-proof #161. % 60.95/9.67 | | % 60.95/9.67 | Case 2: % 60.95/9.67 | | % 60.95/9.67 | | (7) all_22_1 = e21 & all_22_12 = e23 & ~ (all_22_0 = e22) & ~ % 60.95/9.67 | | (all_22_14 = e23) % 60.95/9.67 | | % 60.95/9.67 | | ALPHA: (7) implies: % 60.95/9.67 | | (8) all_22_12 = e23 % 60.95/9.67 | | % 60.95/9.67 | | COMBINE_EQS: (4), (8) imply: % 60.95/9.67 | | (9) e23 = e22 % 60.95/9.67 | | % 60.95/9.67 | | REDUCE: (1), (9) imply: % 60.95/9.67 | | (10) $false % 60.95/9.67 | | % 60.95/9.67 | | CLOSE: (10) is inconsistent. % 60.95/9.67 | | % 60.95/9.67 | End of split % 60.95/9.67 | % 60.95/9.67 End of proof % 60.95/9.67 % 60.95/9.67 Sub-proof #68 shows that the following formulas are inconsistent: % 60.95/9.67 ---------------------------------------------------------------- % 60.95/9.67 (1) e22 = e21 % 60.95/9.67 (2) e22 = e20 % 60.95/9.67 (3) ~ (e21 = e20) % 60.95/9.67 % 60.95/9.67 Begin of proof % 60.95/9.67 | % 60.95/9.67 | SIMP: (1) implies: % 60.95/9.67 | (4) e22 = e21 % 60.95/9.67 | % 60.95/9.67 | COMBINE_EQS: (2), (4) imply: % 60.95/9.67 | (5) e21 = e20 % 60.95/9.67 | % 60.95/9.67 | REDUCE: (3), (5) imply: % 60.95/9.67 | (6) $false % 60.95/9.67 | % 60.95/9.67 | CLOSE: (6) is inconsistent. % 60.95/9.67 | % 60.95/9.67 End of proof % 60.95/9.67 % 60.95/9.67 Sub-proof #69 shows that the following formulas are inconsistent: % 60.95/9.67 ---------------------------------------------------------------- % 60.95/9.67 (1) all_22_8 = e20 & all_22_12 = e21 & ~ (all_22_7 = e22) & ~ (all_22_15 = % 60.95/9.67 e21) % 60.95/9.67 (2) all_22_8 = e22 % 60.95/9.67 (3) all_22_12 = e22 % 60.95/9.67 (4) ~ (e21 = e20) % 60.95/9.67 % 60.95/9.67 Begin of proof % 60.95/9.67 | % 60.95/9.67 | ALPHA: (1) implies: % 60.95/9.67 | (5) all_22_12 = e21 % 60.95/9.67 | (6) all_22_8 = e20 % 60.95/9.67 | % 60.95/9.67 | COMBINE_EQS: (2), (6) imply: % 60.95/9.67 | (7) e22 = e20 % 60.95/9.67 | % 60.95/9.67 | COMBINE_EQS: (3), (5) imply: % 60.95/9.67 | (8) e22 = e21 % 60.95/9.67 | % 60.95/9.67 | SIMP: (8) implies: % 60.95/9.67 | (9) e22 = e21 % 60.95/9.67 | % 60.95/9.67 | REF_CLOSE: (4), (7), (9) are inconsistent by sub-proof #134. % 60.95/9.67 | % 60.95/9.67 End of proof % 60.95/9.67 % 60.95/9.67 Sub-proof #70 shows that the following formulas are inconsistent: % 60.95/9.67 ---------------------------------------------------------------- % 60.95/9.67 (1) all_22_1 = e21 % 60.95/9.67 (2) all_22_1 = e20 % 60.95/9.67 (3) ~ (e21 = e20) % 60.95/9.67 % 60.95/9.67 Begin of proof % 60.95/9.67 | % 60.95/9.67 | COMBINE_EQS: (1), (2) imply: % 60.95/9.67 | (4) e21 = e20 % 60.95/9.67 | % 60.95/9.67 | SIMP: (4) implies: % 60.95/9.67 | (5) e21 = e20 % 60.95/9.67 | % 60.95/9.67 | REDUCE: (3), (5) imply: % 60.95/9.67 | (6) $false % 60.95/9.67 | % 60.95/9.67 | CLOSE: (6) is inconsistent. % 60.95/9.67 | % 60.95/9.67 End of proof % 60.95/9.67 % 60.95/9.67 Sub-proof #71 shows that the following formulas are inconsistent: % 60.95/9.67 ---------------------------------------------------------------- % 60.95/9.67 (1) all_22_0 = e22 % 60.95/9.67 (2) all_22_0 = e21 % 60.95/9.67 (3) ~ (e22 = e21) % 60.95/9.67 % 60.95/9.67 Begin of proof % 60.95/9.67 | % 60.95/9.67 | COMBINE_EQS: (1), (2) imply: % 60.95/9.67 | (4) e22 = e21 % 60.95/9.67 | % 60.95/9.67 | SIMP: (4) implies: % 60.95/9.67 | (5) e22 = e21 % 60.95/9.67 | % 60.95/9.67 | REDUCE: (3), (5) imply: % 60.95/9.67 | (6) $false % 60.95/9.67 | % 60.95/9.67 | CLOSE: (6) is inconsistent. % 60.95/9.67 | % 60.95/9.67 End of proof % 60.95/9.67 % 60.95/9.67 Sub-proof #72 shows that the following formulas are inconsistent: % 60.95/9.67 ---------------------------------------------------------------- % 60.95/9.67 (1) all_26_1 = all_14_4 % 60.95/9.67 (2) all_26_1 = e22 % 60.95/9.67 (3) ~ (all_14_4 = e22) % 60.95/9.67 % 60.95/9.67 Begin of proof % 60.95/9.67 | % 60.95/9.67 | COMBINE_EQS: (1), (2) imply: % 60.95/9.67 | (4) all_14_4 = e22 % 60.95/9.67 | % 60.95/9.67 | SIMP: (4) implies: % 60.95/9.67 | (5) all_14_4 = e22 % 60.95/9.67 | % 60.95/9.67 | REDUCE: (3), (5) imply: % 60.95/9.67 | (6) $false % 60.95/9.67 | % 60.95/9.67 | CLOSE: (6) is inconsistent. % 60.95/9.67 | % 60.95/9.67 End of proof % 60.95/9.67 % 60.95/9.67 Sub-proof #73 shows that the following formulas are inconsistent: % 60.95/9.67 ---------------------------------------------------------------- % 60.95/9.67 (1) ~ (e23 = e22) % 60.95/9.67 (2) all_22_13 = e22 % 60.95/9.67 (3) ~ (e22 = e20) % 60.95/9.67 (4) all_26_2 = e22 % 60.95/9.67 (5) ~ (all_14_2 = e22) % 60.95/9.67 (6) ~ (e22 = e21) % 60.95/9.67 (7) all_26_0 = e23 % 60.95/9.67 (8) all_26_6 = all_14_2 % 60.95/9.67 (9) all_22_13 = e21 % 60.95/9.67 (10) all_26_12 = e20 % 60.95/9.67 (11) all_26_0 = e22 | all_26_2 = e22 | all_26_6 = e22 | all_26_12 = e22 % 60.95/9.67 % 60.95/9.67 Begin of proof % 60.95/9.67 | % 60.95/9.67 | COMBINE_EQS: (2), (9) imply: % 60.95/9.67 | (12) e22 = e21 % 60.95/9.67 | % 60.95/9.67 | COMBINE_EQS: (4), (12) imply: % 60.95/9.67 | (13) all_26_2 = e21 % 60.95/9.67 | % 60.95/9.67 | REF_CLOSE: (1), (3), (5), (6), (7), (8), (10), (11), (13) are inconsistent by % 60.95/9.67 | sub-proof #124. % 60.95/9.67 | % 60.95/9.67 End of proof % 60.95/9.67 % 60.95/9.67 Sub-proof #74 shows that the following formulas are inconsistent: % 60.95/9.67 ---------------------------------------------------------------- % 60.95/9.67 (1) all_22_9 = e23 % 60.95/9.67 (2) all_22_9 = e20 % 60.95/9.67 (3) ~ (e23 = e20) % 60.95/9.67 % 60.95/9.67 Begin of proof % 60.95/9.67 | % 60.95/9.67 | COMBINE_EQS: (1), (2) imply: % 60.95/9.67 | (4) e23 = e20 % 60.95/9.67 | % 60.95/9.67 | SIMP: (4) implies: % 60.95/9.67 | (5) e23 = e20 % 60.95/9.67 | % 60.95/9.67 | REDUCE: (3), (5) imply: % 60.95/9.67 | (6) $false % 60.95/9.67 | % 60.95/9.67 | CLOSE: (6) is inconsistent. % 60.95/9.67 | % 60.95/9.67 End of proof % 60.95/9.67 % 60.95/9.67 Sub-proof #75 shows that the following formulas are inconsistent: % 60.95/9.67 ---------------------------------------------------------------- % 60.95/9.67 (1) all_22_6 = e23 & all_22_15 = e21 & ~ (all_22_8 = e20) & ~ (all_22_10 = % 60.95/9.67 e21) % 60.95/9.67 (2) all_22_6 = all_14_8 % 60.95/9.67 (3) ~ (all_14_8 = e23) % 60.95/9.67 % 60.95/9.67 Begin of proof % 60.95/9.67 | % 60.95/9.67 | ALPHA: (1) implies: % 60.95/9.67 | (4) all_22_6 = e23 % 60.95/9.67 | % 60.95/9.67 | COMBINE_EQS: (2), (4) imply: % 60.95/9.67 | (5) all_14_8 = e23 % 60.95/9.67 | % 60.95/9.67 | REDUCE: (3), (5) imply: % 60.95/9.67 | (6) $false % 60.95/9.67 | % 60.95/9.67 | CLOSE: (6) is inconsistent. % 60.95/9.67 | % 60.95/9.67 End of proof % 60.95/9.67 % 60.95/9.67 Sub-proof #76 shows that the following formulas are inconsistent: % 60.95/9.67 ---------------------------------------------------------------- % 60.95/9.67 (1) all_26_0 = e23 % 60.95/9.67 (2) all_26_0 = e22 % 60.95/9.67 (3) ~ (e23 = e22) % 60.95/9.67 % 60.95/9.67 Begin of proof % 60.95/9.67 | % 60.95/9.67 | COMBINE_EQS: (1), (2) imply: % 60.95/9.67 | (4) e23 = e22 % 60.95/9.67 | % 60.95/9.67 | SIMP: (4) implies: % 60.95/9.67 | (5) e23 = e22 % 60.95/9.67 | % 60.95/9.67 | REDUCE: (3), (5) imply: % 60.95/9.67 | (6) $false % 60.95/9.67 | % 60.95/9.67 | CLOSE: (6) is inconsistent. % 60.95/9.67 | % 60.95/9.67 End of proof % 60.95/9.67 % 60.95/9.67 Sub-proof #77 shows that the following formulas are inconsistent: % 60.95/9.67 ---------------------------------------------------------------- % 60.95/9.67 (1) all_18_4 = all_14_1 % 60.95/9.67 (2) all_18_4 = e20 % 60.95/9.67 (3) ~ (all_14_1 = e20) % 60.95/9.67 % 60.95/9.67 Begin of proof % 60.95/9.67 | % 60.95/9.67 | COMBINE_EQS: (1), (2) imply: % 60.95/9.67 | (4) all_14_1 = e20 % 60.95/9.67 | % 60.95/9.67 | SIMP: (4) implies: % 60.95/9.67 | (5) all_14_1 = e20 % 60.95/9.67 | % 60.95/9.67 | REDUCE: (3), (5) imply: % 60.95/9.67 | (6) $false % 60.95/9.67 | % 60.95/9.67 | CLOSE: (6) is inconsistent. % 60.95/9.67 | % 60.95/9.67 End of proof % 60.95/9.67 % 60.95/9.67 Sub-proof #78 shows that the following formulas are inconsistent: % 60.95/9.67 ---------------------------------------------------------------- % 60.95/9.67 (1) all_26_13 = all_14_7 % 60.95/9.67 (2) ~ (all_14_7 = e20) % 60.95/9.67 (3) ~ (e22 = e20) % 60.95/9.67 (4) all_26_14 = e22 % 60.95/9.67 (5) all_26_13 = e20 | all_26_14 = e20 % 60.95/9.67 % 60.95/9.67 Begin of proof % 60.95/9.67 | % 60.95/9.67 | BETA: splitting (5) gives: % 60.95/9.67 | % 60.95/9.67 | Case 1: % 60.95/9.67 | | % 60.95/9.67 | | (6) all_26_13 = e20 % 60.95/9.67 | | % 60.95/9.67 | | COMBINE_EQS: (1), (6) imply: % 60.95/9.67 | | (7) all_14_7 = e20 % 60.95/9.67 | | % 60.95/9.67 | | SIMP: (7) implies: % 60.95/9.67 | | (8) all_14_7 = e20 % 60.95/9.67 | | % 60.95/9.67 | | REDUCE: (2), (8) imply: % 60.95/9.67 | | (9) $false % 60.95/9.67 | | % 60.95/9.67 | | CLOSE: (9) is inconsistent. % 60.95/9.67 | | % 60.95/9.67 | Case 2: % 60.95/9.67 | | % 60.95/9.67 | | (10) all_26_14 = e20 % 60.95/9.67 | | % 60.95/9.67 | | REF_CLOSE: (3), (4), (10) are inconsistent by sub-proof #97. % 60.95/9.67 | | % 60.95/9.67 | End of split % 60.95/9.67 | % 60.95/9.67 End of proof % 60.95/9.67 % 60.95/9.67 Sub-proof #79 shows that the following formulas are inconsistent: % 60.95/9.67 ---------------------------------------------------------------- % 60.95/9.67 (1) ~ (e21 = e20) % 60.95/9.67 (2) (all_22_14 = e21 & ( ~ (all_22_10 = e21) | all_22_6 = e23) & ( ~ % 60.95/9.67 (all_22_12 = e21) | all_22_7 = e22) & ( ~ (all_22_15 = e21) | % 60.95/9.67 all_22_8 = e20)) | (all_22_15 = e20 & ( ~ (all_22_10 = e20) | % 60.95/9.67 all_22_9 = e23) & ( ~ (all_22_12 = e20) | all_22_11 = e22) & ( ~ % 60.95/9.67 (all_22_14 = e20) | all_22_13 = e21)) % 60.95/9.67 (3) all_22_15 = e21 % 60.95/9.67 (4) ~ (e22 = e20) % 60.95/9.67 (5) all_22_8 = e22 % 60.95/9.67 % 60.95/9.67 Begin of proof % 60.95/9.67 | % 60.95/9.67 | BETA: splitting (2) gives: % 60.95/9.67 | % 60.95/9.67 | Case 1: % 60.95/9.67 | | % 60.95/9.67 | | (6) all_22_14 = e21 & ( ~ (all_22_10 = e21) | all_22_6 = e23) & ( ~ % 60.95/9.67 | | (all_22_12 = e21) | all_22_7 = e22) & ( ~ (all_22_15 = e21) | % 60.95/9.67 | | all_22_8 = e20) % 60.95/9.67 | | % 60.95/9.67 | | REF_CLOSE: (3), (4), (5), (6) are inconsistent by sub-proof #104. % 60.95/9.67 | | % 60.95/9.67 | Case 2: % 60.95/9.67 | | % 60.95/9.67 | | (7) all_22_15 = e20 & ( ~ (all_22_10 = e20) | all_22_9 = e23) & ( ~ % 60.95/9.67 | | (all_22_12 = e20) | all_22_11 = e22) & ( ~ (all_22_14 = e20) | % 60.95/9.67 | | all_22_13 = e21) % 60.95/9.67 | | % 60.95/9.67 | | ALPHA: (7) implies: % 60.95/9.67 | | (8) all_22_15 = e20 % 60.95/9.67 | | % 60.95/9.67 | | COMBINE_EQS: (3), (8) imply: % 60.95/9.67 | | (9) e21 = e20 % 60.95/9.67 | | % 60.95/9.67 | | REDUCE: (1), (9) imply: % 60.95/9.67 | | (10) $false % 60.95/9.67 | | % 60.95/9.67 | | CLOSE: (10) is inconsistent. % 60.95/9.67 | | % 60.95/9.67 | End of split % 60.95/9.67 | % 60.95/9.67 End of proof % 60.95/9.67 % 60.95/9.67 Sub-proof #80 shows that the following formulas are inconsistent: % 60.95/9.67 ---------------------------------------------------------------- % 60.95/9.67 (1) all_18_6 = all_14_9 % 60.95/9.67 (2) all_26_5 = all_14_9 % 60.95/9.67 (3) all_26_5 = e20 | all_26_8 = e20 | all_26_14 = e20 % 60.95/9.67 (4) ~ (all_14_9 = e20) % 60.95/9.67 (5) ~ (e22 = e20) % 60.95/9.67 (6) all_26_14 = e22 % 60.95/9.67 (7) ~ (all_14_9 = e23) % 60.95/9.67 (8) all_26_8 = all_4_2 % 60.95/9.67 (9) ~ (all_14_9 = e22) % 60.95/9.67 (10) all_18_6 = e23 | all_18_6 = e22 | all_18_6 = e21 % 60.95/9.67 (11) ~ (all_4_2 = e20) % 60.95/9.67 % 60.95/9.67 Begin of proof % 60.95/9.67 | % 60.95/9.67 | BETA: splitting (10) gives: % 60.95/9.67 | % 60.95/9.67 | Case 1: % 60.95/9.67 | | % 60.95/9.67 | | (12) all_18_6 = e22 % 60.95/9.67 | | % 60.95/9.67 | | COMBINE_EQS: (1), (12) imply: % 60.95/9.67 | | (13) all_14_9 = e22 % 60.95/9.67 | | % 60.95/9.67 | | REDUCE: (9), (13) imply: % 60.95/9.67 | | (14) $false % 60.95/9.67 | | % 60.95/9.67 | | CLOSE: (14) is inconsistent. % 60.95/9.67 | | % 60.95/9.67 | Case 2: % 60.95/9.67 | | % 60.95/9.67 | | (15) all_18_6 = e23 | all_18_6 = e21 % 60.95/9.67 | | % 60.95/9.67 | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (11), (15) are % 60.95/9.67 | | inconsistent by sub-proof #95. % 60.95/9.67 | | % 60.95/9.67 | End of split % 60.95/9.67 | % 60.95/9.67 End of proof % 60.95/9.67 % 60.95/9.67 Sub-proof #81 shows that the following formulas are inconsistent: % 60.95/9.67 ---------------------------------------------------------------- % 60.95/9.67 (1) all_26_4 = e23 % 60.95/9.67 (2) all_26_4 = e20 % 60.95/9.67 (3) ~ (e23 = e20) % 60.95/9.67 % 60.95/9.67 Begin of proof % 60.95/9.67 | % 60.95/9.67 | COMBINE_EQS: (1), (2) imply: % 60.95/9.67 | (4) e23 = e20 % 60.95/9.67 | % 60.95/9.67 | SIMP: (4) implies: % 60.95/9.67 | (5) e23 = e20 % 60.95/9.67 | % 60.95/9.67 | REDUCE: (3), (5) imply: % 60.95/9.67 | (6) $false % 60.95/9.67 | % 60.95/9.67 | CLOSE: (6) is inconsistent. % 60.95/9.67 | % 60.95/9.67 End of proof % 60.95/9.67 % 60.95/9.67 Sub-proof #82 shows that the following formulas are inconsistent: % 60.95/9.67 ---------------------------------------------------------------- % 60.95/9.67 (1) all_18_10 = all_4_2 % 60.95/9.67 (2) all_18_8 = all_14_2 % 60.95/9.67 (3) all_18_8 = e23 | all_18_8 = e21 % 60.95/9.67 (4) ~ (all_4_2 = e23) % 60.95/9.67 (5) all_18_10 = e23 | all_18_10 = e22 | all_18_10 = e21 % 60.95/9.67 (6) ~ (all_14_2 = all_4_2) % 60.95/9.67 (7) ~ (all_4_2 = e22) % 60.95/9.67 (8) ~ (all_14_2 = e23) % 60.95/9.67 % 60.95/9.67 Begin of proof % 60.95/9.67 | % 60.95/9.67 | BETA: splitting (3) gives: % 60.95/9.67 | % 60.95/9.67 | Case 1: % 60.95/9.67 | | % 60.95/9.67 | | (9) all_18_8 = e21 % 60.95/9.67 | | % 60.95/9.67 | | COMBINE_EQS: (2), (9) imply: % 60.95/9.67 | | (10) all_14_2 = e21 % 60.95/9.67 | | % 60.95/9.67 | | REDUCE: (6), (10) imply: % 60.95/9.67 | | (11) ~ (all_4_2 = e21) % 60.95/9.67 | | % 60.95/9.67 | | SIMP: (11) implies: % 60.95/9.67 | | (12) ~ (all_4_2 = e21) % 60.95/9.67 | | % 60.95/9.67 | | REF_CLOSE: (1), (4), (5), (7), (12) are inconsistent by sub-proof #83. % 60.95/9.67 | | % 60.95/9.67 | Case 2: % 60.95/9.67 | | % 60.95/9.67 | | (13) all_18_8 = e23 % 60.95/9.67 | | % 60.95/9.67 | | COMBINE_EQS: (2), (13) imply: % 60.95/9.67 | | (14) all_14_2 = e23 % 60.95/9.67 | | % 60.95/9.67 | | REDUCE: (8), (14) imply: % 60.95/9.67 | | (15) $false % 60.95/9.67 | | % 60.95/9.67 | | CLOSE: (15) is inconsistent. % 60.95/9.67 | | % 60.95/9.67 | End of split % 60.95/9.67 | % 60.95/9.67 End of proof % 60.95/9.67 % 60.95/9.67 Sub-proof #83 shows that the following formulas are inconsistent: % 60.95/9.67 ---------------------------------------------------------------- % 60.95/9.67 (1) all_18_10 = all_4_2 % 60.95/9.67 (2) ~ (all_4_2 = e23) % 60.95/9.67 (3) ~ (all_4_2 = e21) % 60.95/9.67 (4) all_18_10 = e23 | all_18_10 = e22 | all_18_10 = e21 % 60.95/9.67 (5) ~ (all_4_2 = e22) % 60.95/9.67 % 60.95/9.67 Begin of proof % 60.95/9.67 | % 60.95/9.67 | BETA: splitting (4) gives: % 60.95/9.67 | % 60.95/9.67 | Case 1: % 60.95/9.67 | | % 60.95/9.67 | | (6) all_18_10 = e22 % 60.95/9.67 | | % 60.95/9.67 | | REF_CLOSE: (1), (5), (6) are inconsistent by sub-proof #86. % 60.95/9.67 | | % 60.95/9.67 | Case 2: % 60.95/9.67 | | % 60.95/9.67 | | (7) all_18_10 = e23 | all_18_10 = e21 % 60.95/9.67 | | % 60.95/9.67 | | BETA: splitting (7) gives: % 60.95/9.67 | | % 60.95/9.67 | | Case 1: % 60.95/9.67 | | | % 60.95/9.67 | | | (8) all_18_10 = e21 % 60.95/9.67 | | | % 60.95/9.67 | | | COMBINE_EQS: (1), (8) imply: % 60.95/9.67 | | | (9) all_4_2 = e21 % 60.95/9.67 | | | % 60.95/9.67 | | | SIMP: (9) implies: % 60.95/9.67 | | | (10) all_4_2 = e21 % 60.95/9.67 | | | % 60.95/9.67 | | | REDUCE: (3), (10) imply: % 60.95/9.67 | | | (11) $false % 60.95/9.67 | | | % 60.95/9.67 | | | CLOSE: (11) is inconsistent. % 60.95/9.67 | | | % 60.95/9.67 | | Case 2: % 60.95/9.67 | | | % 60.95/9.67 | | | (12) all_18_10 = e23 % 60.95/9.67 | | | % 60.95/9.67 | | | REF_CLOSE: (1), (2), (12) are inconsistent by sub-proof #84. % 60.95/9.67 | | | % 60.95/9.67 | | End of split % 60.95/9.67 | | % 60.95/9.67 | End of split % 60.95/9.67 | % 60.95/9.67 End of proof % 60.95/9.67 % 60.95/9.67 Sub-proof #84 shows that the following formulas are inconsistent: % 60.95/9.67 ---------------------------------------------------------------- % 60.95/9.67 (1) all_18_10 = all_4_2 % 60.95/9.67 (2) all_18_10 = e23 % 60.95/9.67 (3) ~ (all_4_2 = e23) % 60.95/9.67 % 60.95/9.67 Begin of proof % 60.95/9.67 | % 60.95/9.67 | COMBINE_EQS: (1), (2) imply: % 60.95/9.67 | (4) all_4_2 = e23 % 60.95/9.67 | % 60.95/9.67 | SIMP: (4) implies: % 60.95/9.67 | (5) all_4_2 = e23 % 60.95/9.67 | % 60.95/9.67 | REDUCE: (3), (5) imply: % 60.95/9.67 | (6) $false % 60.95/9.67 | % 60.95/9.67 | CLOSE: (6) is inconsistent. % 60.95/9.67 | % 60.95/9.67 End of proof % 60.95/9.67 % 60.95/9.67 Sub-proof #85 shows that the following formulas are inconsistent: % 60.95/9.67 ---------------------------------------------------------------- % 60.95/9.67 (1) ~ (all_28_152 = all_28_154) | ~ (all_28_156 = all_28_158) | ( ~ % 60.95/9.67 (all_28_145 = e23) & ~ (all_28_149 = e23) & ~ (all_28_153 = e23) & ~ % 60.95/9.67 (all_28_157 = e23)) | ( ~ (all_28_145 = e22) & ~ (all_28_149 = e22) & % 60.95/9.67 ~ (all_28_153 = e22) & ~ (all_28_157 = e22)) | ( ~ (all_28_145 = e21) % 60.95/9.67 & ~ (all_28_149 = e21) & ~ (all_28_153 = e21) & ~ (all_28_157 = % 60.95/9.67 e21)) | ( ~ (all_28_145 = e20) & ~ (all_28_149 = e20) & ~ % 60.95/9.67 (all_28_153 = e20) & ~ (all_28_157 = e20)) % 60.95/9.67 (2) all_28_149 = e22 % 60.95/9.67 (3) all_28_158 = e21 % 60.95/9.67 (4) all_28_154 = e22 % 60.95/9.67 (5) all_28_152 = e22 % 60.95/9.67 (6) all_28_153 = e21 % 60.95/9.67 (7) all_28_157 = e20 % 60.95/9.67 (8) all_28_145 = e23 % 60.95/9.67 (9) all_28_156 = e21 % 60.95/9.67 % 60.95/9.67 Begin of proof % 60.95/9.67 | % 60.95/9.67 | BETA: splitting (1) gives: % 60.95/9.67 | % 60.95/9.67 | Case 1: % 60.95/9.67 | | % 60.95/9.67 | | (10) ~ (all_28_152 = all_28_154) % 60.95/9.67 | | % 60.95/9.67 | | REDUCE: (4), (5), (10) imply: % 60.95/9.67 | | (11) $false % 60.95/9.67 | | % 60.95/9.67 | | CLOSE: (11) is inconsistent. % 60.95/9.67 | | % 60.95/9.67 | Case 2: % 60.95/9.67 | | % 60.95/9.67 | | (12) ~ (all_28_156 = all_28_158) | ( ~ (all_28_145 = e23) & ~ % 60.95/9.67 | | (all_28_149 = e23) & ~ (all_28_153 = e23) & ~ (all_28_157 = % 60.95/9.67 | | e23)) | ( ~ (all_28_145 = e22) & ~ (all_28_149 = e22) & ~ % 60.95/9.67 | | (all_28_153 = e22) & ~ (all_28_157 = e22)) | ( ~ (all_28_145 = % 60.95/9.67 | | e21) & ~ (all_28_149 = e21) & ~ (all_28_153 = e21) & ~ % 60.95/9.67 | | (all_28_157 = e21)) | ( ~ (all_28_145 = e20) & ~ (all_28_149 = % 60.95/9.67 | | e20) & ~ (all_28_153 = e20) & ~ (all_28_157 = e20)) % 60.95/9.67 | | % 60.95/9.67 | | BETA: splitting (12) gives: % 60.95/9.67 | | % 60.95/9.67 | | Case 1: % 60.95/9.67 | | | % 60.95/9.67 | | | (13) ~ (all_28_156 = all_28_158) % 60.95/9.67 | | | % 60.95/9.67 | | | REDUCE: (3), (9), (13) imply: % 60.95/9.67 | | | (14) $false % 60.95/9.67 | | | % 60.95/9.67 | | | CLOSE: (14) is inconsistent. % 60.95/9.67 | | | % 60.95/9.67 | | Case 2: % 60.95/9.67 | | | % 60.95/9.67 | | | (15) ( ~ (all_28_145 = e23) & ~ (all_28_149 = e23) & ~ (all_28_153 = % 60.95/9.67 | | | e23) & ~ (all_28_157 = e23)) | ( ~ (all_28_145 = e22) & ~ % 60.95/9.67 | | | (all_28_149 = e22) & ~ (all_28_153 = e22) & ~ (all_28_157 = % 60.95/9.67 | | | e22)) | ( ~ (all_28_145 = e21) & ~ (all_28_149 = e21) & ~ % 60.95/9.67 | | | (all_28_153 = e21) & ~ (all_28_157 = e21)) | ( ~ (all_28_145 = % 60.95/9.67 | | | e20) & ~ (all_28_149 = e20) & ~ (all_28_153 = e20) & ~ % 60.95/9.67 | | | (all_28_157 = e20)) % 60.95/9.67 | | | % 60.95/9.67 | | | BETA: splitting (15) gives: % 60.95/9.67 | | | % 60.95/9.67 | | | Case 1: % 60.95/9.67 | | | | % 60.95/9.67 | | | | (16) ( ~ (all_28_145 = e23) & ~ (all_28_149 = e23) & ~ (all_28_153 % 60.95/9.67 | | | | = e23) & ~ (all_28_157 = e23)) | ( ~ (all_28_145 = e22) & % 60.95/9.67 | | | | ~ (all_28_149 = e22) & ~ (all_28_153 = e22) & ~ (all_28_157 % 60.95/9.67 | | | | = e22)) % 60.95/9.67 | | | | % 60.95/9.67 | | | | BETA: splitting (16) gives: % 60.95/9.67 | | | | % 60.95/9.67 | | | | Case 1: % 60.95/9.67 | | | | | % 60.95/9.67 | | | | | (17) ~ (all_28_145 = e23) & ~ (all_28_149 = e23) & ~ (all_28_153 % 60.95/9.67 | | | | | = e23) & ~ (all_28_157 = e23) % 60.95/9.67 | | | | | % 60.95/9.67 | | | | | ALPHA: (17) implies: % 60.95/9.67 | | | | | (18) ~ (all_28_145 = e23) % 60.95/9.67 | | | | | % 60.95/9.67 | | | | | REDUCE: (8), (18) imply: % 60.95/9.67 | | | | | (19) $false % 60.95/9.67 | | | | | % 60.95/9.67 | | | | | CLOSE: (19) is inconsistent. % 60.95/9.67 | | | | | % 60.95/9.67 | | | | Case 2: % 60.95/9.67 | | | | | % 60.95/9.67 | | | | | (20) ~ (all_28_145 = e22) & ~ (all_28_149 = e22) & ~ (all_28_153 % 60.95/9.67 | | | | | = e22) & ~ (all_28_157 = e22) % 60.95/9.67 | | | | | % 60.95/9.67 | | | | | ALPHA: (20) implies: % 60.95/9.67 | | | | | (21) ~ (all_28_149 = e22) % 60.95/9.67 | | | | | % 60.95/9.67 | | | | | REDUCE: (2), (21) imply: % 60.95/9.67 | | | | | (22) $false % 60.95/9.67 | | | | | % 60.95/9.67 | | | | | CLOSE: (22) is inconsistent. % 60.95/9.67 | | | | | % 60.95/9.67 | | | | End of split % 60.95/9.67 | | | | % 60.95/9.67 | | | Case 2: % 60.95/9.67 | | | | % 60.95/9.67 | | | | (23) ( ~ (all_28_145 = e21) & ~ (all_28_149 = e21) & ~ (all_28_153 % 60.95/9.67 | | | | = e21) & ~ (all_28_157 = e21)) | ( ~ (all_28_145 = e20) & % 60.95/9.67 | | | | ~ (all_28_149 = e20) & ~ (all_28_153 = e20) & ~ (all_28_157 % 60.95/9.67 | | | | = e20)) % 60.95/9.67 | | | | % 60.95/9.67 | | | | BETA: splitting (23) gives: % 60.95/9.67 | | | | % 60.95/9.67 | | | | Case 1: % 60.95/9.67 | | | | | % 60.95/9.67 | | | | | (24) ~ (all_28_145 = e21) & ~ (all_28_149 = e21) & ~ (all_28_153 % 60.95/9.67 | | | | | = e21) & ~ (all_28_157 = e21) % 60.95/9.67 | | | | | % 60.95/9.67 | | | | | ALPHA: (24) implies: % 60.95/9.67 | | | | | (25) ~ (all_28_153 = e21) % 60.95/9.67 | | | | | % 60.95/9.67 | | | | | REDUCE: (6), (25) imply: % 60.95/9.67 | | | | | (26) $false % 60.95/9.67 | | | | | % 60.95/9.67 | | | | | CLOSE: (26) is inconsistent. % 60.95/9.67 | | | | | % 60.95/9.67 | | | | Case 2: % 60.95/9.67 | | | | | % 60.95/9.67 | | | | | (27) ~ (all_28_145 = e20) & ~ (all_28_149 = e20) & ~ (all_28_153 % 60.95/9.67 | | | | | = e20) & ~ (all_28_157 = e20) % 60.95/9.67 | | | | | % 60.95/9.67 | | | | | ALPHA: (27) implies: % 60.95/9.67 | | | | | (28) ~ (all_28_157 = e20) % 60.95/9.67 | | | | | % 60.95/9.67 | | | | | REDUCE: (7), (28) imply: % 60.95/9.67 | | | | | (29) $false % 60.95/9.67 | | | | | % 60.95/9.67 | | | | | CLOSE: (29) is inconsistent. % 60.95/9.67 | | | | | % 60.95/9.67 | | | | End of split % 60.95/9.67 | | | | % 60.95/9.67 | | | End of split % 60.95/9.67 | | | % 60.95/9.67 | | End of split % 60.95/9.67 | | % 60.95/9.67 | End of split % 60.95/9.67 | % 60.95/9.67 End of proof % 60.95/9.67 % 60.95/9.67 Sub-proof #86 shows that the following formulas are inconsistent: % 60.95/9.67 ---------------------------------------------------------------- % 60.95/9.67 (1) all_18_10 = all_4_2 % 60.95/9.67 (2) all_18_10 = e22 % 60.95/9.67 (3) ~ (all_4_2 = e22) % 60.95/9.67 % 60.95/9.67 Begin of proof % 60.95/9.67 | % 60.95/9.67 | COMBINE_EQS: (1), (2) imply: % 60.95/9.67 | (4) all_4_2 = e22 % 60.95/9.67 | % 60.95/9.67 | SIMP: (4) implies: % 60.95/9.67 | (5) all_4_2 = e22 % 60.95/9.67 | % 60.95/9.67 | REDUCE: (3), (5) imply: % 60.95/9.67 | (6) $false % 60.95/9.67 | % 60.95/9.67 | CLOSE: (6) is inconsistent. % 60.95/9.67 | % 60.95/9.67 End of proof % 60.95/9.67 % 60.95/9.67 Sub-proof #87 shows that the following formulas are inconsistent: % 60.95/9.67 ---------------------------------------------------------------- % 60.95/9.67 (1) all_22_10 = all_8_2 % 60.95/9.67 (2) ~ (all_8_2 = e22) % 60.95/9.67 (3) all_22_15 = e21 % 60.95/9.67 (4) (all_22_3 = e23 & all_22_14 = e22 & ~ (all_22_4 = e21) & ~ (all_22_10 = % 60.95/9.67 e22)) | (all_22_3 = e23 & all_22_15 = e22 & ~ (all_22_5 = e20) & ~ % 60.95/9.67 (all_22_10 = e22)) | (all_22_4 = e21 & all_22_10 = e22 & ~ (all_22_3 = % 60.95/9.67 e23) & ~ (all_22_14 = e22)) | (all_22_4 = e21 & all_22_15 = e22 & ~ % 60.95/9.67 (all_22_5 = e20) & ~ (all_22_14 = e22)) | (all_22_5 = e20 & all_22_10 % 60.95/9.67 = e22 & ~ (all_22_3 = e23) & ~ (all_22_15 = e22)) | (all_22_5 = e20 & % 60.95/9.67 all_22_14 = e22 & ~ (all_22_4 = e21) & ~ (all_22_15 = e22)) % 60.95/9.67 (5) ~ (e22 = e21) % 60.95/9.67 (6) all_22_14 = all_4_2 % 60.95/9.67 (7) ~ (all_4_2 = e22) % 60.95/9.67 % 60.95/9.67 Begin of proof % 60.95/9.67 | % 60.95/9.67 | BETA: splitting (4) gives: % 60.95/9.67 | % 60.95/9.67 | Case 1: % 60.95/9.67 | | % 60.95/9.67 | | (8) (all_22_3 = e23 & all_22_14 = e22 & ~ (all_22_4 = e21) & ~ % 60.95/9.67 | | (all_22_10 = e22)) | (all_22_3 = e23 & all_22_15 = e22 & ~ % 60.95/9.67 | | (all_22_5 = e20) & ~ (all_22_10 = e22)) | (all_22_4 = e21 & % 60.95/9.67 | | all_22_10 = e22 & ~ (all_22_3 = e23) & ~ (all_22_14 = e22)) % 60.95/9.67 | | % 60.95/9.67 | | BETA: splitting (8) gives: % 60.95/9.67 | | % 60.95/9.67 | | Case 1: % 60.95/9.67 | | | % 60.95/9.68 | | | (9) all_22_3 = e23 & all_22_14 = e22 & ~ (all_22_4 = e21) & ~ % 60.95/9.68 | | | (all_22_10 = e22) % 60.95/9.68 | | | % 60.95/9.68 | | | ALPHA: (9) implies: % 60.95/9.68 | | | (10) all_22_14 = e22 % 60.95/9.68 | | | % 60.95/9.68 | | | REF_CLOSE: (6), (7), (10) are inconsistent by sub-proof #90. % 60.95/9.68 | | | % 60.95/9.68 | | Case 2: % 60.95/9.68 | | | % 60.95/9.68 | | | (11) (all_22_3 = e23 & all_22_15 = e22 & ~ (all_22_5 = e20) & ~ % 60.95/9.68 | | | (all_22_10 = e22)) | (all_22_4 = e21 & all_22_10 = e22 & ~ % 60.95/9.68 | | | (all_22_3 = e23) & ~ (all_22_14 = e22)) % 60.95/9.68 | | | % 60.95/9.68 | | | REF_CLOSE: (1), (2), (3), (5), (11) are inconsistent by sub-proof #88. % 60.95/9.68 | | | % 60.95/9.68 | | End of split % 60.95/9.68 | | % 60.95/9.68 | Case 2: % 60.95/9.68 | | % 60.95/9.68 | | (12) (all_22_4 = e21 & all_22_15 = e22 & ~ (all_22_5 = e20) & ~ % 60.95/9.68 | | (all_22_14 = e22)) | (all_22_5 = e20 & all_22_10 = e22 & ~ % 60.95/9.68 | | (all_22_3 = e23) & ~ (all_22_15 = e22)) | (all_22_5 = e20 & % 60.95/9.68 | | all_22_14 = e22 & ~ (all_22_4 = e21) & ~ (all_22_15 = e22)) % 60.95/9.68 | | % 60.95/9.68 | | BETA: splitting (12) gives: % 60.95/9.68 | | % 60.95/9.68 | | Case 1: % 60.95/9.68 | | | % 60.95/9.68 | | | (13) all_22_4 = e21 & all_22_15 = e22 & ~ (all_22_5 = e20) & ~ % 60.95/9.68 | | | (all_22_14 = e22) % 60.95/9.68 | | | % 60.95/9.68 | | | REF_CLOSE: (3), (5), (13) are inconsistent by sub-proof #156. % 60.95/9.68 | | | % 60.95/9.68 | | Case 2: % 60.95/9.68 | | | % 60.95/9.68 | | | (14) (all_22_5 = e20 & all_22_10 = e22 & ~ (all_22_3 = e23) & ~ % 60.95/9.68 | | | (all_22_15 = e22)) | (all_22_5 = e20 & all_22_14 = e22 & ~ % 60.95/9.68 | | | (all_22_4 = e21) & ~ (all_22_15 = e22)) % 60.95/9.68 | | | % 60.95/9.68 | | | BETA: splitting (14) gives: % 60.95/9.68 | | | % 60.95/9.68 | | | Case 1: % 60.95/9.68 | | | | % 60.95/9.68 | | | | (15) all_22_5 = e20 & all_22_10 = e22 & ~ (all_22_3 = e23) & ~ % 60.95/9.68 | | | | (all_22_15 = e22) % 60.95/9.68 | | | | % 60.95/9.68 | | | | ALPHA: (15) implies: % 60.95/9.68 | | | | (16) all_22_10 = e22 % 60.95/9.68 | | | | % 60.95/9.68 | | | | REF_CLOSE: (1), (2), (16) are inconsistent by sub-proof #89. % 60.95/9.68 | | | | % 60.95/9.68 | | | Case 2: % 60.95/9.68 | | | | % 60.95/9.68 | | | | (17) all_22_5 = e20 & all_22_14 = e22 & ~ (all_22_4 = e21) & ~ % 60.95/9.68 | | | | (all_22_15 = e22) % 60.95/9.68 | | | | % 60.95/9.68 | | | | ALPHA: (17) implies: % 60.95/9.68 | | | | (18) all_22_14 = e22 % 60.95/9.68 | | | | % 60.95/9.68 | | | | REF_CLOSE: (6), (7), (18) are inconsistent by sub-proof #90. % 60.95/9.68 | | | | % 60.95/9.68 | | | End of split % 60.95/9.68 | | | % 60.95/9.68 | | End of split % 60.95/9.68 | | % 60.95/9.68 | End of split % 60.95/9.68 | % 60.95/9.68 End of proof % 60.95/9.68 % 60.95/9.68 Sub-proof #88 shows that the following formulas are inconsistent: % 60.95/9.68 ---------------------------------------------------------------- % 60.95/9.68 (1) all_22_10 = all_8_2 % 60.95/9.68 (2) ~ (all_8_2 = e22) % 60.95/9.68 (3) all_22_15 = e21 % 60.95/9.68 (4) (all_22_3 = e23 & all_22_15 = e22 & ~ (all_22_5 = e20) & ~ (all_22_10 = % 60.95/9.68 e22)) | (all_22_4 = e21 & all_22_10 = e22 & ~ (all_22_3 = e23) & ~ % 60.95/9.68 (all_22_14 = e22)) % 60.95/9.68 (5) ~ (e22 = e21) % 60.95/9.68 % 60.95/9.68 Begin of proof % 60.95/9.68 | % 60.95/9.68 | BETA: splitting (4) gives: % 60.95/9.68 | % 60.95/9.68 | Case 1: % 60.95/9.68 | | % 60.95/9.68 | | (6) all_22_3 = e23 & all_22_15 = e22 & ~ (all_22_5 = e20) & ~ % 60.95/9.68 | | (all_22_10 = e22) % 60.95/9.68 | | % 60.95/9.68 | | REF_CLOSE: (3), (5), (6) are inconsistent by sub-proof #157. % 60.95/9.68 | | % 60.95/9.68 | Case 2: % 60.95/9.68 | | % 60.95/9.68 | | (7) all_22_4 = e21 & all_22_10 = e22 & ~ (all_22_3 = e23) & ~ % 60.95/9.68 | | (all_22_14 = e22) % 60.95/9.68 | | % 60.95/9.68 | | ALPHA: (7) implies: % 60.95/9.68 | | (8) all_22_10 = e22 % 60.95/9.68 | | % 60.95/9.68 | | REF_CLOSE: (1), (2), (8) are inconsistent by sub-proof #89. % 60.95/9.68 | | % 60.95/9.68 | End of split % 60.95/9.68 | % 60.95/9.68 End of proof % 60.95/9.68 % 60.95/9.68 Sub-proof #89 shows that the following formulas are inconsistent: % 60.95/9.68 ---------------------------------------------------------------- % 60.95/9.68 (1) all_22_10 = all_8_2 % 60.95/9.68 (2) all_22_10 = e22 % 60.95/9.68 (3) ~ (all_8_2 = e22) % 60.95/9.68 % 60.95/9.68 Begin of proof % 60.95/9.68 | % 60.95/9.68 | COMBINE_EQS: (1), (2) imply: % 60.95/9.68 | (4) all_8_2 = e22 % 60.95/9.68 | % 60.95/9.68 | SIMP: (4) implies: % 60.95/9.68 | (5) all_8_2 = e22 % 60.95/9.68 | % 60.95/9.68 | REDUCE: (3), (5) imply: % 60.95/9.68 | (6) $false % 60.95/9.68 | % 60.95/9.68 | CLOSE: (6) is inconsistent. % 60.95/9.68 | % 60.95/9.68 End of proof % 60.95/9.68 % 60.95/9.68 Sub-proof #90 shows that the following formulas are inconsistent: % 60.95/9.68 ---------------------------------------------------------------- % 60.95/9.68 (1) all_22_14 = all_4_2 % 60.95/9.68 (2) all_22_14 = e22 % 60.95/9.68 (3) ~ (all_4_2 = e22) % 60.95/9.68 % 60.95/9.68 Begin of proof % 60.95/9.68 | % 60.95/9.68 | COMBINE_EQS: (1), (2) imply: % 60.95/9.68 | (4) all_4_2 = e22 % 60.95/9.68 | % 60.95/9.68 | SIMP: (4) implies: % 60.95/9.68 | (5) all_4_2 = e22 % 60.95/9.68 | % 60.95/9.68 | REDUCE: (3), (5) imply: % 60.95/9.68 | (6) $false % 60.95/9.68 | % 60.95/9.68 | CLOSE: (6) is inconsistent. % 60.95/9.68 | % 60.95/9.68 End of proof % 60.95/9.68 % 60.95/9.68 Sub-proof #91 shows that the following formulas are inconsistent: % 60.95/9.68 ---------------------------------------------------------------- % 60.95/9.68 (1) all_22_2 = e20 & all_22_14 = e23 & ~ (all_22_1 = e21) & ~ (all_22_15 = % 60.95/9.68 e23) % 60.95/9.68 (2) all_22_2 = e23 % 60.95/9.68 (3) ~ (e23 = e20) % 60.95/9.68 % 60.95/9.68 Begin of proof % 60.95/9.68 | % 60.95/9.68 | ALPHA: (1) implies: % 60.95/9.68 | (4) all_22_2 = e20 % 60.95/9.68 | % 60.95/9.68 | COMBINE_EQS: (2), (4) imply: % 60.95/9.68 | (5) e23 = e20 % 60.95/9.68 | % 60.95/9.68 | SIMP: (5) implies: % 60.95/9.68 | (6) e23 = e20 % 60.95/9.68 | % 60.95/9.68 | REDUCE: (3), (6) imply: % 60.95/9.68 | (7) $false % 60.95/9.68 | % 60.95/9.68 | CLOSE: (7) is inconsistent. % 60.95/9.68 | % 60.95/9.68 End of proof % 60.95/9.68 % 60.95/9.68 Sub-proof #92 shows that the following formulas are inconsistent: % 60.95/9.68 ---------------------------------------------------------------- % 60.95/9.68 (1) all_22_10 = e23 & ( ~ (all_22_12 = e23) | all_22_0 = e22) & ( ~ % 60.95/9.68 (all_22_14 = e23) | all_22_1 = e21) & ( ~ (all_22_15 = e23) | all_22_2 % 60.95/9.68 = e20) % 60.95/9.68 (2) all_22_10 = all_8_2 % 60.95/9.68 (3) ~ (all_8_2 = e23) % 60.95/9.68 % 60.95/9.68 Begin of proof % 60.95/9.68 | % 60.95/9.68 | ALPHA: (1) implies: % 60.95/9.68 | (4) all_22_10 = e23 % 60.95/9.68 | % 60.95/9.68 | COMBINE_EQS: (2), (4) imply: % 60.95/9.68 | (5) all_8_2 = e23 % 60.95/9.68 | % 60.95/9.68 | SIMP: (5) implies: % 60.95/9.68 | (6) all_8_2 = e23 % 60.95/9.68 | % 60.95/9.68 | REDUCE: (3), (6) imply: % 60.95/9.68 | (7) $false % 60.95/9.68 | % 60.95/9.68 | CLOSE: (7) is inconsistent. % 60.95/9.68 | % 60.95/9.68 End of proof % 60.95/9.68 % 60.95/9.68 Sub-proof #93 shows that the following formulas are inconsistent: % 60.95/9.68 ---------------------------------------------------------------- % 60.95/9.68 (1) all_26_15 = e21 % 60.95/9.68 (2) all_26_15 = e20 % 60.95/9.68 (3) ~ (e21 = e20) % 60.95/9.68 % 60.95/9.68 Begin of proof % 60.95/9.68 | % 60.95/9.68 | COMBINE_EQS: (1), (2) imply: % 60.95/9.68 | (4) e21 = e20 % 60.95/9.68 | % 60.95/9.68 | SIMP: (4) implies: % 60.95/9.68 | (5) e21 = e20 % 60.95/9.68 | % 60.95/9.68 | REDUCE: (3), (5) imply: % 60.95/9.68 | (6) $false % 60.95/9.68 | % 60.95/9.68 | CLOSE: (6) is inconsistent. % 60.95/9.68 | % 60.95/9.68 End of proof % 60.95/9.68 % 60.95/9.68 Sub-proof #94 shows that the following formulas are inconsistent: % 60.95/9.68 ---------------------------------------------------------------- % 60.95/9.68 (1) ~ (all_14_2 = all_8_2) % 60.95/9.68 (2) ~ (all_6_2 = e23) % 60.95/9.68 (3) (all_22_0 = e22 & all_22_14 = e23 & ~ (all_22_1 = e21) & ~ (all_22_12 = % 60.95/9.68 e23)) | (all_22_0 = e22 & all_22_15 = e23 & ~ (all_22_2 = e20) & ~ % 60.95/9.68 (all_22_12 = e23)) | (all_22_1 = e21 & all_22_12 = e23 & ~ (all_22_0 = % 60.95/9.68 e22) & ~ (all_22_14 = e23)) | (all_22_1 = e21 & all_22_15 = e23 & ~ % 60.95/9.68 (all_22_2 = e20) & ~ (all_22_14 = e23)) | (all_22_2 = e20 & all_22_12 % 60.95/9.68 = e23 & ~ (all_22_0 = e22) & ~ (all_22_15 = e23)) | (all_22_2 = e20 & % 60.95/9.68 all_22_14 = e23 & ~ (all_22_1 = e21) & ~ (all_22_15 = e23)) | % 60.95/9.68 (all_22_3 = e23 & all_22_14 = e22 & ~ (all_22_4 = e21) & ~ (all_22_10 = % 60.95/9.68 e22)) | (all_22_3 = e23 & all_22_15 = e22 & ~ (all_22_5 = e20) & ~ % 60.95/9.68 (all_22_10 = e22)) | (all_22_4 = e21 & all_22_10 = e22 & ~ (all_22_3 = % 60.95/9.68 e23) & ~ (all_22_14 = e22)) | (all_22_4 = e21 & all_22_15 = e22 & ~ % 60.95/9.68 (all_22_5 = e20) & ~ (all_22_14 = e22)) | (all_22_5 = e20 & all_22_10 % 60.95/9.68 = e22 & ~ (all_22_3 = e23) & ~ (all_22_15 = e22)) | (all_22_5 = e20 & % 60.95/9.68 all_22_14 = e22 & ~ (all_22_4 = e21) & ~ (all_22_15 = e22)) | % 60.95/9.68 (all_22_6 = e23 & all_22_12 = e21 & ~ (all_22_7 = e22) & ~ (all_22_10 = % 60.95/9.68 e21)) | (all_22_6 = e23 & all_22_15 = e21 & ~ (all_22_8 = e20) & ~ % 60.95/9.68 (all_22_10 = e21)) | (all_22_7 = e22 & all_22_10 = e21 & ~ (all_22_6 = % 60.95/9.68 e23) & ~ (all_22_12 = e21)) | (all_22_7 = e22 & all_22_15 = e21 & ~ % 60.95/9.68 (all_22_8 = e20) & ~ (all_22_12 = e21)) | (all_22_8 = e20 & all_22_10 % 60.95/9.68 = e21 & ~ (all_22_6 = e23) & ~ (all_22_15 = e21)) | (all_22_8 = e20 & % 60.95/9.68 all_22_12 = e21 & ~ (all_22_7 = e22) & ~ (all_22_15 = e21)) | % 60.95/9.68 (all_22_9 = e23 & all_22_12 = e20 & ~ (all_22_10 = e20) & ~ (all_22_11 % 60.95/9.68 = e22)) | (all_22_9 = e23 & all_22_14 = e20 & ~ (all_22_10 = e20) & % 60.95/9.68 ~ (all_22_13 = e21)) | (all_22_10 = e20 & all_22_11 = e22 & ~ % 60.95/9.68 (all_22_9 = e23) & ~ (all_22_12 = e20)) | (all_22_10 = e20 & all_22_13 % 60.95/9.68 = e21 & ~ (all_22_9 = e23) & ~ (all_22_14 = e20)) | (all_22_11 = e22 % 60.95/9.68 & all_22_14 = e20 & ~ (all_22_12 = e20) & ~ (all_22_13 = e21)) | % 60.95/9.68 (all_22_12 = e20 & all_22_13 = e21 & ~ (all_22_11 = e22) & ~ (all_22_14 % 60.95/9.68 = e20)) % 60.95/9.68 (4) all_26_9 = e22 % 60.95/9.68 (5) all_18_6 = all_14_9 % 60.95/9.68 (6) ~ (all_14_1 = all_14_2) % 60.95/9.68 (7) all_26_3 = all_6_2 % 60.95/9.68 (8) ~ (e23 = e22) % 60.95/9.68 (9) ~ (all_14_4 = all_6_2) % 60.95/9.68 (10) all_22_3 = all_14_4 % 60.95/9.68 (11) all_26_2 = e20 | all_26_3 = e20 | all_26_5 = e20 | all_26_10 = e20 % 60.95/9.68 (12) all_22_6 = all_14_8 % 60.95/9.68 (13) all_22_12 = all_6_2 % 60.95/9.68 (14) all_22_10 = all_8_2 % 60.95/9.68 (15) all_26_7 = all_14_6 % 60.95/9.68 (16) all_26_0 = e21 | all_26_2 = e21 | all_26_6 = e21 | all_26_12 = e21 % 60.95/9.68 (17) all_22_5 = e23 % 60.95/9.68 (18) all_26_13 = e23 % 60.95/9.68 (19) ~ (all_14_8 = all_4_2) % 60.95/9.68 (20) ~ (all_14_1 = e20) % 60.95/9.68 (21) all_26_4 = all_14_8 % 60.95/9.68 (22) all_26_5 = all_14_9 % 60.95/9.68 (23) all_18_8 = all_14_2 % 60.95/9.68 (24) all_22_15 = e21 % 60.95/9.68 (25) all_26_6 = e23 | all_26_7 = e23 | all_26_8 = e23 | all_26_11 = e23 % 60.95/9.68 (26) all_18_8 = e23 | all_18_8 = e22 | all_18_8 = e21 | all_18_8 = e20 % 60.95/9.68 (27) ~ (all_14_6 = e20) % 60.95/9.68 (28) all_26_11 = e20 % 60.95/9.68 (29) ~ (all_14_4 = all_8_2) % 60.95/9.68 (30) all_26_1 = e20 | all_26_3 = e20 | all_26_7 = e20 | all_26_13 = e20 % 60.95/9.68 (31) all_26_0 = e23 | all_26_1 = e23 | all_26_4 = e23 | all_26_9 = e23 % 60.95/9.68 (32) all_26_1 = e22 | all_26_3 = e22 | all_26_7 = e22 | all_26_13 = e22 % 60.95/9.68 (33) ~ (all_14_9 = e20) % 60.95/9.68 (34) ~ (all_14_4 = e22) % 60.95/9.68 (35) all_22_7 = all_14_9 % 60.95/9.68 (36) all_22_11 = e23 % 60.95/9.68 (37) ~ (all_14_4 = all_14_8) % 60.95/9.68 (38) ~ (e22 = e20) % 60.95/9.68 (39) all_26_1 = all_14_4 % 60.95/9.68 (40) all_26_14 = e22 % 60.95/9.68 (41) all_26_2 = all_14_1 % 60.95/9.68 (42) ~ (all_14_9 = e23) % 60.95/9.68 (43) ~ (all_14_8 = all_8_2) % 60.95/9.68 (44) ~ (all_14_4 = e23) % 60.95/9.68 (45) all_22_13 = e20 % 60.95/9.68 (46) all_18_1 = e23 | all_18_1 = e22 | all_18_1 = e21 | all_18_1 = e20 % 60.95/9.68 (47) all_26_8 = all_4_2 % 60.95/9.68 (48) all_18_1 = all_14_4 % 60.95/9.68 (49) all_22_14 = all_4_2 % 60.95/9.68 (50) ~ (all_14_9 = e22) % 60.95/9.68 (51) ~ (all_14_2 = all_4_2) % 60.95/9.68 (52) ~ (all_14_1 = all_6_2) % 60.95/9.68 (53) ~ (all_4_2 = e22) % 60.95/9.68 (54) ~ (all_14_1 = all_8_2) % 60.95/9.68 (55) all_26_0 = all_8_2 % 60.95/9.68 (56) all_22_9 = e22 % 60.95/9.68 (57) all_26_4 = e20 | all_26_5 = e20 | all_26_8 = e20 | all_26_14 = e20 % 60.95/9.68 (58) all_22_1 = all_14_2 % 60.95/9.68 (59) all_26_6 = all_14_2 % 60.95/9.68 (60) all_22_8 = e22 % 60.95/9.68 (61) ~ (all_14_6 = e23) % 60.95/9.68 (62) ~ (all_14_8 = e22) % 60.95/9.68 (63) all_18_6 = e23 | all_18_6 = e22 | all_18_6 = e21 % 60.95/9.68 (64) ~ (all_4_2 = e20) % 60.95/9.68 (65) all_22_0 = all_14_1 % 60.95/9.68 (66) ~ (e23 = e20) % 60.95/9.68 (67) all_26_12 = e20 % 60.95/9.68 (68) ~ (all_14_2 = all_14_6) % 60.95/9.68 (69) all_26_0 = e22 | all_26_2 = e22 | all_26_6 = e22 | all_26_12 = e22 % 60.95/9.68 (70) ~ (all_14_2 = e20) % 60.95/9.68 % 60.95/9.68 Begin of proof % 60.95/9.68 | % 60.95/9.68 | BETA: splitting (63) gives: % 60.95/9.68 | % 60.95/9.68 | Case 1: % 60.95/9.68 | | % 60.95/9.68 | | (71) all_18_6 = e22 % 60.95/9.68 | | % 60.95/9.68 | | REF_CLOSE: (5), (50), (71) are inconsistent by sub-proof #102. % 60.95/9.68 | | % 60.95/9.68 | Case 2: % 60.95/9.68 | | % 60.95/9.68 | | (72) ~ (all_18_6 = e22) % 60.95/9.68 | | (73) all_18_6 = e23 | all_18_6 = e21 % 60.95/9.68 | | % 60.95/9.68 | | BETA: splitting (57) gives: % 60.95/9.68 | | % 60.95/9.68 | | Case 1: % 60.95/9.68 | | | % 60.95/9.68 | | | (74) all_26_4 = e20 % 60.95/9.68 | | | % 60.95/9.68 | | | COMBINE_EQS: (21), (74) imply: % 60.95/9.68 | | | (75) all_14_8 = e20 % 60.95/9.68 | | | % 60.95/9.68 | | | SIMP: (75) implies: % 60.95/9.68 | | | (76) all_14_8 = e20 % 60.95/9.68 | | | % 60.95/9.68 | | | COMBINE_EQS: (12), (76) imply: % 60.95/9.68 | | | (77) all_22_6 = e20 % 60.95/9.68 | | | % 60.95/9.68 | | | REDUCE: (37), (76) imply: % 60.95/9.68 | | | (78) ~ (all_14_4 = e20) % 60.95/9.68 | | | % 60.95/9.68 | | | REDUCE: (43), (76) imply: % 60.95/9.68 | | | (79) ~ (all_8_2 = e20) % 60.95/9.68 | | | % 60.95/9.68 | | | SIMP: (79) implies: % 60.95/9.68 | | | (80) ~ (all_8_2 = e20) % 60.95/9.68 | | | % 60.95/9.68 | | | REDUCE: (19), (76) imply: % 60.95/9.68 | | | (81) ~ (all_4_2 = e20) % 60.95/9.68 | | | % 60.95/9.68 | | | REDUCE: (62), (76) imply: % 60.95/9.68 | | | (82) ~ (e22 = e20) % 60.95/9.68 | | | % 60.95/9.68 | | | BETA: splitting (46) gives: % 60.95/9.68 | | | % 60.95/9.68 | | | Case 1: % 60.95/9.68 | | | | % 60.95/9.68 | | | | (83) all_18_1 = e20 % 60.95/9.68 | | | | % 60.95/9.68 | | | | COMBINE_EQS: (48), (83) imply: % 60.95/9.68 | | | | (84) all_14_4 = e20 % 60.95/9.68 | | | | % 60.95/9.68 | | | | REDUCE: (78), (84) imply: % 60.95/9.68 | | | | (85) $false % 60.95/9.68 | | | | % 60.95/9.68 | | | | CLOSE: (85) is inconsistent. % 60.95/9.68 | | | | % 60.95/9.68 | | | Case 2: % 60.95/9.68 | | | | % 60.95/9.68 | | | | (86) ~ (all_18_1 = e20) % 60.95/9.68 | | | | (87) all_18_1 = e23 | all_18_1 = e22 | all_18_1 = e21 % 60.95/9.68 | | | | % 60.95/9.68 | | | | BETA: splitting (87) gives: % 60.95/9.68 | | | | % 60.95/9.68 | | | | Case 1: % 60.95/9.68 | | | | | % 60.95/9.68 | | | | | (88) all_18_1 = e22 % 60.95/9.68 | | | | | % 60.95/9.68 | | | | | COMBINE_EQS: (48), (88) imply: % 60.95/9.68 | | | | | (89) all_14_4 = e22 % 60.95/9.68 | | | | | % 60.95/9.68 | | | | | REDUCE: (34), (89) imply: % 60.95/9.68 | | | | | (90) $false % 60.95/9.68 | | | | | % 60.95/9.68 | | | | | CLOSE: (90) is inconsistent. % 60.95/9.68 | | | | | % 60.95/9.68 | | | | Case 2: % 60.95/9.68 | | | | | % 60.95/9.68 | | | | | (91) ~ (all_18_1 = e22) % 60.95/9.68 | | | | | (92) all_18_1 = e23 | all_18_1 = e21 % 60.95/9.68 | | | | | % 60.95/9.68 | | | | | BETA: splitting (92) gives: % 60.95/9.68 | | | | | % 60.95/9.68 | | | | | Case 1: % 60.95/9.68 | | | | | | % 60.95/9.68 | | | | | | (93) all_18_1 = e21 % 60.95/9.68 | | | | | | % 60.95/9.68 | | | | | | COMBINE_EQS: (48), (93) imply: % 60.95/9.68 | | | | | | (94) all_14_4 = e21 % 60.95/9.68 | | | | | | % 60.95/9.68 | | | | | | COMBINE_EQS: (10), (94) imply: % 60.95/9.68 | | | | | | (95) all_22_3 = e21 % 60.95/9.68 | | | | | | % 60.95/9.68 | | | | | | COMBINE_EQS: (39), (94) imply: % 60.95/9.68 | | | | | | (96) all_26_1 = e21 % 60.95/9.68 | | | | | | % 60.95/9.68 | | | | | | REDUCE: (29), (94) imply: % 60.95/9.68 | | | | | | (97) ~ (all_8_2 = e21) % 60.95/9.68 | | | | | | % 60.95/9.68 | | | | | | SIMP: (97) implies: % 60.95/9.68 | | | | | | (98) ~ (all_8_2 = e21) % 60.95/9.68 | | | | | | % 60.95/9.68 | | | | | | REDUCE: (9), (94) imply: % 60.95/9.68 | | | | | | (99) ~ (all_6_2 = e21) % 60.95/9.68 | | | | | | % 60.95/9.68 | | | | | | SIMP: (99) implies: % 60.95/9.68 | | | | | | (100) ~ (all_6_2 = e21) % 60.95/9.68 | | | | | | % 60.95/9.68 | | | | | | REDUCE: (44), (94) imply: % 60.95/9.68 | | | | | | (101) ~ (e23 = e21) % 60.95/9.68 | | | | | | % 60.95/9.68 | | | | | | SIMP: (101) implies: % 60.95/9.68 | | | | | | (102) ~ (e23 = e21) % 60.95/9.68 | | | | | | % 60.95/9.68 | | | | | | REDUCE: (34), (94) imply: % 60.95/9.68 | | | | | | (103) ~ (e22 = e21) % 60.95/9.68 | | | | | | % 60.95/9.68 | | | | | | SIMP: (103) implies: % 60.95/9.68 | | | | | | (104) ~ (e22 = e21) % 60.95/9.68 | | | | | | % 60.95/9.68 | | | | | | REDUCE: (78), (94) imply: % 60.95/9.68 | | | | | | (105) ~ (e21 = e20) % 60.95/9.68 | | | | | | % 60.95/9.68 | | | | | | BETA: splitting (11) gives: % 60.95/9.68 | | | | | | % 60.95/9.68 | | | | | | Case 1: % 60.95/9.68 | | | | | | | % 60.95/9.68 | | | | | | | (106) all_26_2 = e20 % 60.95/9.68 | | | | | | | % 60.95/9.68 | | | | | | | COMBINE_EQS: (41), (106) imply: % 60.95/9.68 | | | | | | | (107) all_14_1 = e20 % 60.95/9.68 | | | | | | | % 60.95/9.68 | | | | | | | SIMP: (107) implies: % 60.95/9.68 | | | | | | | (108) all_14_1 = e20 % 60.95/9.68 | | | | | | | % 60.95/9.68 | | | | | | | REDUCE: (20), (108) imply: % 60.95/9.68 | | | | | | | (109) $false % 60.95/9.68 | | | | | | | % 60.95/9.68 | | | | | | | CLOSE: (109) is inconsistent. % 60.95/9.68 | | | | | | | % 60.95/9.68 | | | | | | Case 2: % 60.95/9.68 | | | | | | | % 60.95/9.68 | | | | | | | (110) all_26_3 = e20 | all_26_5 = e20 | all_26_10 = e20 % 60.95/9.68 | | | | | | | % 60.95/9.68 | | | | | | | BETA: splitting (30) gives: % 60.95/9.68 | | | | | | | % 60.95/9.68 | | | | | | | Case 1: % 60.95/9.68 | | | | | | | | % 60.95/9.68 | | | | | | | | (111) all_26_1 = e20 % 60.95/9.68 | | | | | | | | % 60.95/9.68 | | | | | | | | REF_CLOSE: (96), (105), (111) are inconsistent by sub-proof % 60.95/9.68 | | | | | | | | #167. % 60.95/9.68 | | | | | | | | % 60.95/9.68 | | | | | | | Case 2: % 60.95/9.68 | | | | | | | | % 60.95/9.68 | | | | | | | | (112) all_26_3 = e20 | all_26_7 = e20 | all_26_13 = e20 % 60.95/9.68 | | | | | | | | % 60.95/9.68 | | | | | | | | BETA: splitting (31) gives: % 60.95/9.68 | | | | | | | | % 60.95/9.68 | | | | | | | | Case 1: % 60.95/9.68 | | | | | | | | | % 60.95/9.68 | | | | | | | | | (113) all_26_0 = e23 % 60.95/9.68 | | | | | | | | | % 60.95/9.68 | | | | | | | | | COMBINE_EQS: (55), (113) imply: % 60.95/9.68 | | | | | | | | | (114) all_8_2 = e23 % 60.95/9.68 | | | | | | | | | % 60.95/9.68 | | | | | | | | | COMBINE_EQS: (14), (114) imply: % 60.95/9.68 | | | | | | | | | (115) all_22_10 = e23 % 60.95/9.68 | | | | | | | | | % 60.95/9.68 | | | | | | | | | REDUCE: (54), (114) imply: % 60.95/9.68 | | | | | | | | | (116) ~ (all_14_1 = e23) % 60.95/9.68 | | | | | | | | | % 60.95/9.68 | | | | | | | | | REDUCE: (1), (114) imply: % 60.95/9.68 | | | | | | | | | (117) ~ (all_14_2 = e23) % 60.95/9.68 | | | | | | | | | % 60.95/9.68 | | | | | | | | | BETA: splitting (25) gives: % 60.95/9.68 | | | | | | | | | % 60.95/9.68 | | | | | | | | | Case 1: % 60.95/9.68 | | | | | | | | | | % 60.95/9.68 | | | | | | | | | | (118) all_26_6 = e23 % 60.95/9.68 | | | | | | | | | | % 60.95/9.68 | | | | | | | | | | COMBINE_EQS: (59), (118) imply: % 60.95/9.68 | | | | | | | | | | (119) all_14_2 = e23 % 60.95/9.68 | | | | | | | | | | % 60.95/9.68 | | | | | | | | | | SIMP: (119) implies: % 60.95/9.68 | | | | | | | | | | (120) all_14_2 = e23 % 60.95/9.68 | | | | | | | | | | % 60.95/9.68 | | | | | | | | | | REDUCE: (117), (120) imply: % 60.95/9.68 | | | | | | | | | | (121) $false % 60.95/9.68 | | | | | | | | | | % 60.95/9.68 | | | | | | | | | | CLOSE: (121) is inconsistent. % 60.95/9.68 | | | | | | | | | | % 60.95/9.68 | | | | | | | | | Case 2: % 60.95/9.68 | | | | | | | | | | % 60.95/9.68 | | | | | | | | | | (122) all_26_7 = e23 | all_26_8 = e23 | all_26_11 = e23 % 60.95/9.68 | | | | | | | | | | % 60.95/9.68 | | | | | | | | | | BETA: splitting (122) gives: % 60.95/9.68 | | | | | | | | | | % 60.95/9.68 | | | | | | | | | | Case 1: % 60.95/9.68 | | | | | | | | | | | % 60.95/9.68 | | | | | | | | | | | (123) all_26_7 = e23 % 60.95/9.68 | | | | | | | | | | | % 60.95/9.68 | | | | | | | | | | | COMBINE_EQS: (15), (123) imply: % 60.95/9.68 | | | | | | | | | | | (124) all_14_6 = e23 % 60.95/9.68 | | | | | | | | | | | % 60.95/9.68 | | | | | | | | | | | SIMP: (124) implies: % 60.95/9.68 | | | | | | | | | | | (125) all_14_6 = e23 % 60.95/9.68 | | | | | | | | | | | % 60.95/9.68 | | | | | | | | | | | REDUCE: (61), (125) imply: % 60.95/9.68 | | | | | | | | | | | (126) $false % 60.95/9.68 | | | | | | | | | | | % 60.95/9.68 | | | | | | | | | | | CLOSE: (126) is inconsistent. % 60.95/9.68 | | | | | | | | | | | % 60.95/9.68 | | | | | | | | | | Case 2: % 60.95/9.68 | | | | | | | | | | | % 60.95/9.68 | | | | | | | | | | | (127) all_26_8 = e23 | all_26_11 = e23 % 60.95/9.68 | | | | | | | | | | | % 60.95/9.68 | | | | | | | | | | | BETA: splitting (110) gives: % 60.95/9.68 | | | | | | | | | | | % 60.95/9.68 | | | | | | | | | | | Case 1: % 60.95/9.68 | | | | | | | | | | | | % 60.95/9.68 | | | | | | | | | | | | (128) all_26_3 = e20 % 60.95/9.68 | | | | | | | | | | | | % 60.95/9.68 | | | | | | | | | | | | COMBINE_EQS: (7), (128) imply: % 60.95/9.68 | | | | | | | | | | | | (129) all_6_2 = e20 % 60.95/9.68 | | | | | | | | | | | | % 60.95/9.68 | | | | | | | | | | | | SIMP: (129) implies: % 60.95/9.68 | | | | | | | | | | | | (130) all_6_2 = e20 % 60.95/9.68 | | | | | | | | | | | | % 60.95/9.68 | | | | | | | | | | | | COMBINE_EQS: (13), (130) imply: % 60.95/9.68 | | | | | | | | | | | | (131) all_22_12 = e20 % 60.95/9.68 | | | | | | | | | | | | % 60.95/9.68 | | | | | | | | | | | | REDUCE: (2), (130) imply: % 60.95/9.68 | | | | | | | | | | | | (132) ~ (e23 = e20) % 60.95/9.68 | | | | | | | | | | | | % 60.95/9.68 | | | | | | | | | | | | REDUCE: (100), (130) imply: % 60.95/9.68 | | | | | | | | | | | | (133) ~ (e21 = e20) % 60.95/9.68 | | | | | | | | | | | | % 60.95/9.68 | | | | | | | | | | | | BETA: splitting (127) gives: % 60.95/9.68 | | | | | | | | | | | | % 60.95/9.68 | | | | | | | | | | | | Case 1: % 60.95/9.68 | | | | | | | | | | | | | % 60.95/9.68 | | | | | | | | | | | | | (134) all_26_8 = e23 % 60.95/9.68 | | | | | | | | | | | | | % 60.95/9.68 | | | | | | | | | | | | | COMBINE_EQS: (47), (134) imply: % 60.95/9.68 | | | | | | | | | | | | | (135) all_4_2 = e23 % 60.95/9.68 | | | | | | | | | | | | | % 60.95/9.68 | | | | | | | | | | | | | SIMP: (135) implies: % 60.95/9.68 | | | | | | | | | | | | | (136) all_4_2 = e23 % 60.95/9.68 | | | | | | | | | | | | | % 60.95/9.68 | | | | | | | | | | | | | COMBINE_EQS: (49), (136) imply: % 60.95/9.68 | | | | | | | | | | | | | (137) all_22_14 = e23 % 60.95/9.68 | | | | | | | | | | | | | % 60.95/9.68 | | | | | | | | | | | | | BETA: splitting (32) gives: % 60.95/9.68 | | | | | | | | | | | | | % 60.95/9.68 | | | | | | | | | | | | | Case 1: % 60.95/9.68 | | | | | | | | | | | | | | % 60.95/9.68 | | | | | | | | | | | | | | (138) all_26_1 = e22 % 60.95/9.68 | | | | | | | | | | | | | | % 60.95/9.68 | | | | | | | | | | | | | | COMBINE_EQS: (96), (138) imply: % 60.95/9.68 | | | | | | | | | | | | | | (139) e22 = e21 % 60.95/9.68 | | | | | | | | | | | | | | % 60.95/9.68 | | | | | | | | | | | | | | SIMP: (139) implies: % 60.95/9.68 | | | | | | | | | | | | | | (140) e22 = e21 % 60.95/9.68 | | | | | | | | | | | | | | % 60.95/9.68 | | | | | | | | | | | | | | REDUCE: (104), (140) imply: % 60.95/9.68 | | | | | | | | | | | | | | (141) $false % 60.95/9.68 | | | | | | | | | | | | | | % 60.95/9.68 | | | | | | | | | | | | | | CLOSE: (141) is inconsistent. % 60.95/9.68 | | | | | | | | | | | | | | % 60.95/9.68 | | | | | | | | | | | | | Case 2: % 60.95/9.68 | | | | | | | | | | | | | | % 60.95/9.68 | | | | | | | | | | | | | | (142) ~ (all_26_1 = e22) % 60.95/9.68 | | | | | | | | | | | | | | (143) all_26_3 = e22 | all_26_7 = e22 | all_26_13 = e22 % 60.95/9.68 | | | | | | | | | | | | | | % 60.95/9.68 | | | | | | | | | | | | | | BETA: splitting (143) gives: % 60.95/9.68 | | | | | | | | | | | | | | % 60.95/9.68 | | | | | | | | | | | | | | Case 1: % 60.95/9.68 | | | | | | | | | | | | | | | % 60.95/9.68 | | | | | | | | | | | | | | | (144) all_26_3 = e22 % 60.95/9.68 | | | | | | | | | | | | | | | % 60.95/9.68 | | | | | | | | | | | | | | | COMBINE_EQS: (128), (144) imply: % 60.95/9.68 | | | | | | | | | | | | | | | (145) e22 = e20 % 60.95/9.68 | | | | | | | | | | | | | | | % 60.95/9.68 | | | | | | | | | | | | | | | REDUCE: (38), (145) imply: % 60.95/9.68 | | | | | | | | | | | | | | | (146) $false % 60.95/9.68 | | | | | | | | | | | | | | | % 60.95/9.68 | | | | | | | | | | | | | | | CLOSE: (146) is inconsistent. % 60.95/9.68 | | | | | | | | | | | | | | | % 60.95/9.68 | | | | | | | | | | | | | | Case 2: % 60.95/9.68 | | | | | | | | | | | | | | | % 60.95/9.68 | | | | | | | | | | | | | | | (147) ~ (all_26_3 = e22) % 60.95/9.68 | | | | | | | | | | | | | | | (148) all_26_7 = e22 | all_26_13 = e22 % 60.95/9.68 | | | | | | | | | | | | | | | % 60.95/9.68 | | | | | | | | | | | | | | | BETA: splitting (3) gives: % 60.95/9.68 | | | | | | | | | | | | | | | % 60.95/9.68 | | | | | | | | | | | | | | | Case 1: % 60.95/9.68 | | | | | | | | | | | | | | | | % 60.95/9.68 | | | | | | | | | | | | | | | | (149) (all_22_0 = e22 & all_22_14 = e23 & ~ (all_22_1 = % 60.95/9.68 | | | | | | | | | | | | | | | | e21) & ~ (all_22_12 = e23)) | (all_22_0 = e22 % 60.95/9.68 | | | | | | | | | | | | | | | | & all_22_15 = e23 & ~ (all_22_2 = e20) & ~ % 60.95/9.68 | | | | | | | | | | | | | | | | (all_22_12 = e23)) | (all_22_1 = e21 & all_22_12 % 60.95/9.68 | | | | | | | | | | | | | | | | = e23 & ~ (all_22_0 = e22) & ~ (all_22_14 = % 60.95/9.68 | | | | | | | | | | | | | | | | e23)) | (all_22_1 = e21 & all_22_15 = e23 & ~ % 60.95/9.68 | | | | | | | | | | | | | | | | (all_22_2 = e20) & ~ (all_22_14 = e23)) | % 60.95/9.68 | | | | | | | | | | | | | | | | (all_22_2 = e20 & all_22_12 = e23 & ~ (all_22_0 = % 60.95/9.68 | | | | | | | | | | | | | | | | e22) & ~ (all_22_15 = e23)) | (all_22_2 = e20 % 60.95/9.68 | | | | | | | | | | | | | | | | & all_22_14 = e23 & ~ (all_22_1 = e21) & ~ % 60.95/9.68 | | | | | | | | | | | | | | | | (all_22_15 = e23)) | (all_22_3 = e23 & all_22_14 % 60.95/9.68 | | | | | | | | | | | | | | | | = e22 & ~ (all_22_4 = e21) & ~ (all_22_10 = % 60.95/9.68 | | | | | | | | | | | | | | | | e22)) | (all_22_3 = e23 & all_22_15 = e22 & ~ % 60.95/9.68 | | | | | | | | | | | | | | | | (all_22_5 = e20) & ~ (all_22_10 = e22)) | % 60.95/9.68 | | | | | | | | | | | | | | | | (all_22_4 = e21 & all_22_10 = e22 & ~ (all_22_3 = % 60.95/9.68 | | | | | | | | | | | | | | | | e23) & ~ (all_22_14 = e22)) | (all_22_4 = e21 % 60.95/9.68 | | | | | | | | | | | | | | | | & all_22_15 = e22 & ~ (all_22_5 = e20) & ~ % 60.95/9.68 | | | | | | | | | | | | | | | | (all_22_14 = e22)) | (all_22_5 = e20 & all_22_10 % 60.95/9.68 | | | | | | | | | | | | | | | | = e22 & ~ (all_22_3 = e23) & ~ (all_22_15 = % 60.95/9.68 | | | | | | | | | | | | | | | | e22)) | (all_22_5 = e20 & all_22_14 = e22 & ~ % 60.95/9.68 | | | | | | | | | | | | | | | | (all_22_4 = e21) & ~ (all_22_15 = e22)) % 60.95/9.68 | | | | | | | | | | | | | | | | % 60.95/9.68 | | | | | | | | | | | | | | | | BETA: splitting (149) gives: % 60.95/9.68 | | | | | | | | | | | | | | | | % 60.95/9.68 | | | | | | | | | | | | | | | | Case 1: % 60.95/9.68 | | | | | | | | | | | | | | | | | % 60.95/9.68 | | | | | | | | | | | | | | | | | (150) (all_22_0 = e22 & all_22_14 = e23 & ~ (all_22_1 = % 60.95/9.68 | | | | | | | | | | | | | | | | | e21) & ~ (all_22_12 = e23)) | (all_22_0 = e22 % 60.95/9.68 | | | | | | | | | | | | | | | | | & all_22_15 = e23 & ~ (all_22_2 = e20) & ~ % 60.95/9.68 | | | | | | | | | | | | | | | | | (all_22_12 = e23)) | (all_22_1 = e21 & all_22_12 % 60.95/9.68 | | | | | | | | | | | | | | | | | = e23 & ~ (all_22_0 = e22) & ~ (all_22_14 = % 60.95/9.68 | | | | | | | | | | | | | | | | | e23)) | (all_22_1 = e21 & all_22_15 = e23 & ~ % 60.95/9.68 | | | | | | | | | | | | | | | | | (all_22_2 = e20) & ~ (all_22_14 = e23)) | % 60.95/9.68 | | | | | | | | | | | | | | | | | (all_22_2 = e20 & all_22_12 = e23 & ~ (all_22_0 = % 60.95/9.68 | | | | | | | | | | | | | | | | | e22) & ~ (all_22_15 = e23)) | (all_22_2 = e20 % 60.95/9.68 | | | | | | | | | | | | | | | | | & all_22_14 = e23 & ~ (all_22_1 = e21) & ~ % 60.95/9.68 | | | | | | | | | | | | | | | | | (all_22_15 = e23)) % 60.95/9.68 | | | | | | | | | | | | | | | | | % 60.95/9.68 | | | | | | | | | | | | | | | | | BETA: splitting (150) gives: % 60.95/9.68 | | | | | | | | | | | | | | | | | % 60.95/9.68 | | | | | | | | | | | | | | | | | Case 1: % 60.95/9.68 | | | | | | | | | | | | | | | | | | % 60.95/9.68 | | | | | | | | | | | | | | | | | | (151) (all_22_0 = e22 & all_22_14 = e23 & ~ (all_22_1 = % 60.95/9.68 | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_12 = e23)) | (all_22_0 = e22 % 60.95/9.68 | | | | | | | | | | | | | | | | | | & all_22_15 = e23 & ~ (all_22_2 = e20) & ~ % 60.95/9.68 | | | | | | | | | | | | | | | | | | (all_22_12 = e23)) | (all_22_1 = e21 & all_22_12 % 60.95/9.68 | | | | | | | | | | | | | | | | | | = e23 & ~ (all_22_0 = e22) & ~ (all_22_14 = % 60.95/9.68 | | | | | | | | | | | | | | | | | | e23)) % 60.95/9.68 | | | | | | | | | | | | | | | | | | % 60.95/9.68 | | | | | | | | | | | | | | | | | | BETA: splitting (151) gives: % 60.95/9.68 | | | | | | | | | | | | | | | | | | % 60.95/9.68 | | | | | | | | | | | | | | | | | | Case 1: % 60.95/9.68 | | | | | | | | | | | | | | | | | | | % 60.95/9.68 | | | | | | | | | | | | | | | | | | | (152) all_22_0 = e22 & all_22_14 = e23 & ~ (all_22_1 = % 60.95/9.68 | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_12 = e23) % 60.95/9.68 | | | | | | | | | | | | | | | | | | | % 60.95/9.68 | | | | | | | | | | | | | | | | | | | ALPHA: (152) implies: % 60.95/9.68 | | | | | | | | | | | | | | | | | | | (153) all_22_0 = e22 % 60.95/9.68 | | | | | | | | | | | | | | | | | | | (154) ~ (all_22_1 = e21) % 60.95/9.68 | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (65), (153) imply: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | (155) all_14_1 = e22 % 60.95/9.69 | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | SIMP: (155) implies: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | (156) all_14_1 = e22 % 60.95/9.69 | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | REDUCE: (58), (154) imply: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | (157) ~ (all_14_2 = e21) % 60.95/9.69 | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | REDUCE: (6), (156) imply: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | (158) ~ (all_14_2 = e22) % 60.95/9.69 | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | SIMP: (158) implies: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | (159) ~ (all_14_2 = e22) % 60.95/9.69 | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | REDUCE: (116), (156) imply: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | (160) ~ (e23 = e22) % 60.95/9.69 | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (16), (38), (59), (67), (69), (102), (104), % 60.95/9.69 | | | | | | | | | | | | | | | | | | | (105), (113), (157), (159) are inconsistent by % 60.95/9.69 | | | | | | | | | | | | | | | | | | | sub-proof #101. % 60.95/9.69 | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | Case 2: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | (161) (all_22_0 = e22 & all_22_15 = e23 & ~ (all_22_2 = % 60.95/9.69 | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_12 = e23)) | (all_22_1 = e21 % 60.95/9.69 | | | | | | | | | | | | | | | | | | | & all_22_12 = e23 & ~ (all_22_0 = e22) & ~ % 60.95/9.69 | | | | | | | | | | | | | | | | | | | (all_22_14 = e23)) % 60.95/9.69 | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | BETA: splitting (161) gives: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | Case 1: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | (162) all_22_0 = e22 & all_22_15 = e23 & ~ (all_22_2 = % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_12 = e23) % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (24), (102), (162) are inconsistent by sub-proof % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | #161. % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | Case 2: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | (163) all_22_1 = e21 & all_22_12 = e23 & ~ (all_22_0 = % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_14 = e23) % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | ALPHA: (163) implies: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | (164) all_22_12 = e23 % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (131), (164) imply: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | (165) e23 = e20 % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | REDUCE: (66), (165) imply: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | (166) $false % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | CLOSE: (166) is inconsistent. % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | End of split % 60.95/9.69 | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | End of split % 60.95/9.69 | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | Case 2: % 60.95/9.69 | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | (167) (all_22_1 = e21 & all_22_15 = e23 & ~ (all_22_2 = % 60.95/9.69 | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_14 = e23)) | (all_22_2 = e20 % 60.95/9.69 | | | | | | | | | | | | | | | | | | & all_22_12 = e23 & ~ (all_22_0 = e22) & ~ % 60.95/9.69 | | | | | | | | | | | | | | | | | | (all_22_15 = e23)) | (all_22_2 = e20 & all_22_14 % 60.95/9.69 | | | | | | | | | | | | | | | | | | = e23 & ~ (all_22_1 = e21) & ~ (all_22_15 = % 60.95/9.69 | | | | | | | | | | | | | | | | | | e23)) % 60.95/9.69 | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | BETA: splitting (167) gives: % 60.95/9.69 | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | Case 1: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | (168) all_22_1 = e21 & all_22_15 = e23 & ~ (all_22_2 = % 60.95/9.69 | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_14 = e23) % 60.95/9.69 | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (24), (102), (168) are inconsistent by sub-proof % 60.95/9.69 | | | | | | | | | | | | | | | | | | | #159. % 60.95/9.69 | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | Case 2: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | (169) (all_22_2 = e20 & all_22_12 = e23 & ~ (all_22_0 = % 60.95/9.69 | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_15 = e23)) | (all_22_2 = e20 % 60.95/9.69 | | | | | | | | | | | | | | | | | | | & all_22_14 = e23 & ~ (all_22_1 = e21) & ~ % 60.95/9.69 | | | | | | | | | | | | | | | | | | | (all_22_15 = e23)) % 60.95/9.69 | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | BETA: splitting (169) gives: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | Case 1: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | (170) all_22_2 = e20 & all_22_12 = e23 & ~ (all_22_0 = % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_15 = e23) % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | ALPHA: (170) implies: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | (171) all_22_12 = e23 % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (131), (171) imply: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | (172) e23 = e20 % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | REDUCE: (66), (172) imply: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | (173) $false % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | CLOSE: (173) is inconsistent. % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | Case 2: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | (174) all_22_2 = e20 & all_22_14 = e23 & ~ (all_22_1 = % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_15 = e23) % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | ALPHA: (174) implies: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | (175) ~ (all_22_15 = e23) % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | (176) ~ (all_22_1 = e21) % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | REDUCE: (58), (176) imply: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | (177) ~ (all_14_2 = e21) % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | BETA: splitting (26) gives: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | Case 1: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | | (178) all_18_8 = e20 % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (23), (178) imply: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | | (179) all_14_2 = e20 % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | | SIMP: (179) implies: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | | (180) all_14_2 = e20 % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | | REDUCE: (70), (180) imply: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | | (181) $false % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | | CLOSE: (181) is inconsistent. % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | Case 2: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | | (182) all_18_8 = e23 | all_18_8 = e22 | all_18_8 = e21 % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (182) gives: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | | Case 1: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | | | (183) all_18_8 = e22 % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (23), (183) imply: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | | | (184) all_14_2 = e22 % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | | | SIMP: (184) implies: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | | | (185) all_14_2 = e22 % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (68), (185) imply: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | | | (186) ~ (all_14_6 = e22) % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | | | SIMP: (186) implies: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | | | (187) ~ (all_14_6 = e22) % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (185) imply: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | | | (188) ~ (e23 = e22) % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (15), (18), (148), (187) are inconsistent by % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | | | sub-proof #100. % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | | Case 2: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | | | (189) ~ (all_18_8 = e22) % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (23), (189) imply: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | | | (190) ~ (all_14_2 = e22) % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (16), (38), (59), (67), (69), (102), (104), % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | | | (105), (113), (177), (190) are inconsistent by % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | | | sub-proof #101. % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | | End of split % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | End of split % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | End of split % 60.95/9.69 | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | End of split % 60.95/9.69 | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | End of split % 60.95/9.69 | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | Case 2: % 60.95/9.69 | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | (191) (all_22_3 = e23 & all_22_14 = e22 & ~ (all_22_4 = % 60.95/9.69 | | | | | | | | | | | | | | | | | e21) & ~ (all_22_10 = e22)) | (all_22_3 = e23 % 60.95/9.69 | | | | | | | | | | | | | | | | | & all_22_15 = e22 & ~ (all_22_5 = e20) & ~ % 60.95/9.69 | | | | | | | | | | | | | | | | | (all_22_10 = e22)) | (all_22_4 = e21 & all_22_10 % 60.95/9.69 | | | | | | | | | | | | | | | | | = e22 & ~ (all_22_3 = e23) & ~ (all_22_14 = % 60.95/9.69 | | | | | | | | | | | | | | | | | e22)) | (all_22_4 = e21 & all_22_15 = e22 & ~ % 60.95/9.69 | | | | | | | | | | | | | | | | | (all_22_5 = e20) & ~ (all_22_14 = e22)) | % 60.95/9.69 | | | | | | | | | | | | | | | | | (all_22_5 = e20 & all_22_10 = e22 & ~ (all_22_3 = % 60.95/9.69 | | | | | | | | | | | | | | | | | e23) & ~ (all_22_15 = e22)) | (all_22_5 = e20 % 60.95/9.69 | | | | | | | | | | | | | | | | | & all_22_14 = e22 & ~ (all_22_4 = e21) & ~ % 60.95/9.69 | | | | | | | | | | | | | | | | | (all_22_15 = e22)) % 60.95/9.69 | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | BETA: splitting (191) gives: % 60.95/9.69 | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | Case 1: % 60.95/9.69 | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | (192) (all_22_3 = e23 & all_22_14 = e22 & ~ (all_22_4 = % 60.95/9.69 | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_10 = e22)) | (all_22_3 = e23 % 60.95/9.69 | | | | | | | | | | | | | | | | | | & all_22_15 = e22 & ~ (all_22_5 = e20) & ~ % 60.95/9.69 | | | | | | | | | | | | | | | | | | (all_22_10 = e22)) | (all_22_4 = e21 & all_22_10 % 60.95/9.69 | | | | | | | | | | | | | | | | | | = e22 & ~ (all_22_3 = e23) & ~ (all_22_14 = % 60.95/9.69 | | | | | | | | | | | | | | | | | | e22)) % 60.95/9.69 | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives: % 60.95/9.69 | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | Case 1: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | (193) all_22_3 = e23 & all_22_14 = e22 & ~ (all_22_4 = % 60.95/9.69 | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_10 = e22) % 60.95/9.69 | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | ALPHA: (193) implies: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | (194) all_22_14 = e22 % 60.95/9.69 | | | | | | | | | | | | | | | | | | | (195) all_22_3 = e23 % 60.95/9.69 | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (95), (195) imply: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | (196) e23 = e21 % 60.95/9.69 | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (137), (194) imply: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | (197) e23 = e22 % 60.95/9.69 | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | SIMP: (197) implies: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | (198) e23 = e22 % 60.95/9.69 | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (196), (198) imply: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | (199) e22 = e21 % 60.95/9.69 | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | REDUCE: (104), (199) imply: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | (200) $false % 60.95/9.69 | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | CLOSE: (200) is inconsistent. % 60.95/9.69 | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | Case 2: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | (201) (all_22_3 = e23 & all_22_15 = e22 & ~ (all_22_5 = % 60.95/9.69 | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_10 = e22)) | (all_22_4 = e21 % 60.95/9.69 | | | | | | | | | | | | | | | | | | | & all_22_10 = e22 & ~ (all_22_3 = e23) & ~ % 60.95/9.69 | | | | | | | | | | | | | | | | | | | (all_22_14 = e22)) % 60.95/9.69 | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | Case 1: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | (202) all_22_3 = e23 & all_22_15 = e22 & ~ (all_22_5 = % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_10 = e22) % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (24), (104), (202) are inconsistent by sub-proof % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | #157. % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | Case 2: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | (203) all_22_4 = e21 & all_22_10 = e22 & ~ (all_22_3 = % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_14 = e22) % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (115), (203) are inconsistent by sub-proof % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | #140. % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | End of split % 60.95/9.69 | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | End of split % 60.95/9.69 | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | Case 2: % 60.95/9.69 | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | (204) (all_22_4 = e21 & all_22_15 = e22 & ~ (all_22_5 = % 60.95/9.69 | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_14 = e22)) | (all_22_5 = e20 % 60.95/9.69 | | | | | | | | | | | | | | | | | | & all_22_10 = e22 & ~ (all_22_3 = e23) & ~ % 60.95/9.69 | | | | | | | | | | | | | | | | | | (all_22_15 = e22)) | (all_22_5 = e20 & all_22_14 % 60.95/9.69 | | | | | | | | | | | | | | | | | | = e22 & ~ (all_22_4 = e21) & ~ (all_22_15 = % 60.95/9.69 | | | | | | | | | | | | | | | | | | e22)) % 60.95/9.69 | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives: % 60.95/9.69 | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | Case 1: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | (205) all_22_4 = e21 & all_22_15 = e22 & ~ (all_22_5 = % 60.95/9.69 | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_14 = e22) % 60.95/9.69 | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (24), (104), (205) are inconsistent by sub-proof % 60.95/9.69 | | | | | | | | | | | | | | | | | | | #156. % 60.95/9.69 | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | Case 2: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | (206) (all_22_5 = e20 & all_22_10 = e22 & ~ (all_22_3 = % 60.95/9.69 | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_15 = e22)) | (all_22_5 = e20 % 60.95/9.69 | | | | | | | | | | | | | | | | | | | & all_22_14 = e22 & ~ (all_22_4 = e21) & ~ % 60.95/9.69 | | | | | | | | | | | | | | | | | | | (all_22_15 = e22)) % 60.95/9.69 | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | Case 1: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | (207) all_22_5 = e20 & all_22_10 = e22 & ~ (all_22_3 = % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_15 = e22) % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | ALPHA: (207) implies: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | (208) all_22_10 = e22 % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | (209) all_22_5 = e20 % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17), (209) imply: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | (210) e23 = e20 % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | SIMP: (210) implies: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | (211) e23 = e20 % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (115), (208) imply: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | (212) e23 = e22 % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | SIMP: (212) implies: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | (213) e23 = e22 % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (211), (213) are inconsistent by sub-proof % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | #158. % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | Case 2: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | (214) all_22_5 = e20 & all_22_14 = e22 & ~ (all_22_4 = % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_15 = e22) % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (38), (137), (214) are inconsistent by % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | sub-proof #153. % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | End of split % 60.95/9.69 | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | End of split % 60.95/9.69 | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | End of split % 60.95/9.69 | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | End of split % 60.95/9.69 | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | Case 2: % 60.95/9.69 | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | (215) (all_22_6 = e23 & all_22_12 = e21 & ~ (all_22_7 = % 60.95/9.69 | | | | | | | | | | | | | | | | e22) & ~ (all_22_10 = e21)) | (all_22_6 = e23 % 60.95/9.69 | | | | | | | | | | | | | | | | & all_22_15 = e21 & ~ (all_22_8 = e20) & ~ % 60.95/9.69 | | | | | | | | | | | | | | | | (all_22_10 = e21)) | (all_22_7 = e22 & all_22_10 % 60.95/9.69 | | | | | | | | | | | | | | | | = e21 & ~ (all_22_6 = e23) & ~ (all_22_12 = % 60.95/9.69 | | | | | | | | | | | | | | | | e21)) | (all_22_7 = e22 & all_22_15 = e21 & ~ % 60.95/9.69 | | | | | | | | | | | | | | | | (all_22_8 = e20) & ~ (all_22_12 = e21)) | % 60.95/9.69 | | | | | | | | | | | | | | | | (all_22_8 = e20 & all_22_10 = e21 & ~ (all_22_6 = % 60.95/9.69 | | | | | | | | | | | | | | | | e23) & ~ (all_22_15 = e21)) | (all_22_8 = e20 % 60.95/9.69 | | | | | | | | | | | | | | | | & all_22_12 = e21 & ~ (all_22_7 = e22) & ~ % 60.95/9.69 | | | | | | | | | | | | | | | | (all_22_15 = e21)) | (all_22_9 = e23 & all_22_12 % 60.95/9.69 | | | | | | | | | | | | | | | | = e20 & ~ (all_22_10 = e20) & ~ (all_22_11 = % 60.95/9.69 | | | | | | | | | | | | | | | | e22)) | (all_22_9 = e23 & all_22_14 = e20 & ~ % 60.95/9.69 | | | | | | | | | | | | | | | | (all_22_10 = e20) & ~ (all_22_13 = e21)) | % 60.95/9.69 | | | | | | | | | | | | | | | | (all_22_10 = e20 & all_22_11 = e22 & ~ (all_22_9 % 60.95/9.69 | | | | | | | | | | | | | | | | = e23) & ~ (all_22_12 = e20)) | (all_22_10 = % 60.95/9.69 | | | | | | | | | | | | | | | | e20 & all_22_13 = e21 & ~ (all_22_9 = e23) & ~ % 60.95/9.69 | | | | | | | | | | | | | | | | (all_22_14 = e20)) | (all_22_11 = e22 & % 60.95/9.69 | | | | | | | | | | | | | | | | all_22_14 = e20 & ~ (all_22_12 = e20) & ~ % 60.95/9.69 | | | | | | | | | | | | | | | | (all_22_13 = e21)) | (all_22_12 = e20 & % 60.95/9.69 | | | | | | | | | | | | | | | | all_22_13 = e21 & ~ (all_22_11 = e22) & ~ % 60.95/9.69 | | | | | | | | | | | | | | | | (all_22_14 = e20)) % 60.95/9.69 | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | BETA: splitting (215) gives: % 60.95/9.69 | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | Case 1: % 60.95/9.69 | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | (216) (all_22_6 = e23 & all_22_12 = e21 & ~ (all_22_7 = % 60.95/9.69 | | | | | | | | | | | | | | | | | e22) & ~ (all_22_10 = e21)) | (all_22_6 = e23 % 60.95/9.69 | | | | | | | | | | | | | | | | | & all_22_15 = e21 & ~ (all_22_8 = e20) & ~ % 60.95/9.69 | | | | | | | | | | | | | | | | | (all_22_10 = e21)) | (all_22_7 = e22 & all_22_10 % 60.95/9.69 | | | | | | | | | | | | | | | | | = e21 & ~ (all_22_6 = e23) & ~ (all_22_12 = % 60.95/9.69 | | | | | | | | | | | | | | | | | e21)) | (all_22_7 = e22 & all_22_15 = e21 & ~ % 60.95/9.69 | | | | | | | | | | | | | | | | | (all_22_8 = e20) & ~ (all_22_12 = e21)) | % 60.95/9.69 | | | | | | | | | | | | | | | | | (all_22_8 = e20 & all_22_10 = e21 & ~ (all_22_6 = % 60.95/9.69 | | | | | | | | | | | | | | | | | e23) & ~ (all_22_15 = e21)) | (all_22_8 = e20 % 60.95/9.69 | | | | | | | | | | | | | | | | | & all_22_12 = e21 & ~ (all_22_7 = e22) & ~ % 60.95/9.69 | | | | | | | | | | | | | | | | | (all_22_15 = e21)) % 60.95/9.69 | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | BETA: splitting (216) gives: % 60.95/9.69 | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | Case 1: % 60.95/9.69 | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | (217) (all_22_6 = e23 & all_22_12 = e21 & ~ (all_22_7 = % 60.95/9.69 | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_10 = e21)) | (all_22_6 = e23 % 60.95/9.69 | | | | | | | | | | | | | | | | | | & all_22_15 = e21 & ~ (all_22_8 = e20) & ~ % 60.95/9.69 | | | | | | | | | | | | | | | | | | (all_22_10 = e21)) | (all_22_7 = e22 & all_22_10 % 60.95/9.69 | | | | | | | | | | | | | | | | | | = e21 & ~ (all_22_6 = e23) & ~ (all_22_12 = % 60.95/9.69 | | | | | | | | | | | | | | | | | | e21)) % 60.95/9.69 | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives: % 60.95/9.69 | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | Case 1: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | (218) all_22_6 = e23 & all_22_12 = e21 & ~ (all_22_7 = % 60.95/9.69 | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_10 = e21) % 60.95/9.69 | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | ALPHA: (218) implies: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | (219) all_22_12 = e21 % 60.95/9.69 | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (131), (219) imply: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | (220) e21 = e20 % 60.95/9.69 | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | REDUCE: (105), (220) imply: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | (221) $false % 60.95/9.69 | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | CLOSE: (221) is inconsistent. % 60.95/9.69 | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | Case 2: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | (222) (all_22_6 = e23 & all_22_15 = e21 & ~ (all_22_8 = % 60.95/9.69 | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_10 = e21)) | (all_22_7 = e22 % 60.95/9.69 | | | | | | | | | | | | | | | | | | | & all_22_10 = e21 & ~ (all_22_6 = e23) & ~ % 60.95/9.69 | | | | | | | | | | | | | | | | | | | (all_22_12 = e21)) % 60.95/9.69 | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | Case 1: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | (223) all_22_6 = e23 & all_22_15 = e21 & ~ (all_22_8 = % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_10 = e21) % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | ALPHA: (223) implies: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | (224) all_22_6 = e23 % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (77), (224) imply: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | (225) e23 = e20 % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | REDUCE: (66), (225) imply: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | (226) $false % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | CLOSE: (226) is inconsistent. % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | Case 2: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | (227) all_22_7 = e22 & all_22_10 = e21 & ~ (all_22_6 = % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_12 = e21) % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | ALPHA: (227) implies: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | (228) all_22_10 = e21 % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (115), (228) imply: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | (229) e23 = e21 % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | SIMP: (229) implies: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | (230) e23 = e21 % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | REDUCE: (102), (230) imply: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | (231) $false % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | CLOSE: (231) is inconsistent. % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | End of split % 60.95/9.69 | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | End of split % 60.95/9.69 | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | Case 2: % 60.95/9.69 | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | (232) (all_22_7 = e22 & all_22_15 = e21 & ~ (all_22_8 = % 60.95/9.69 | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_12 = e21)) | (all_22_8 = e20 % 60.95/9.69 | | | | | | | | | | | | | | | | | | & all_22_10 = e21 & ~ (all_22_6 = e23) & ~ % 60.95/9.69 | | | | | | | | | | | | | | | | | | (all_22_15 = e21)) | (all_22_8 = e20 & all_22_12 % 60.95/9.69 | | | | | | | | | | | | | | | | | | = e21 & ~ (all_22_7 = e22) & ~ (all_22_15 = % 60.95/9.69 | | | | | | | | | | | | | | | | | | e21)) % 60.95/9.69 | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives: % 60.95/9.69 | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | Case 1: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | (233) all_22_7 = e22 & all_22_15 = e21 & ~ (all_22_8 = % 60.95/9.69 | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_12 = e21) % 60.95/9.69 | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | ALPHA: (233) implies: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | (234) all_22_7 = e22 % 60.95/9.69 | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (50), (234) are inconsistent by sub-proof % 60.95/9.69 | | | | | | | | | | | | | | | | | | | #99. % 60.95/9.69 | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | Case 2: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | (235) (all_22_8 = e20 & all_22_10 = e21 & ~ (all_22_6 = % 60.95/9.69 | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_15 = e21)) | (all_22_8 = e20 % 60.95/9.69 | | | | | | | | | | | | | | | | | | | & all_22_12 = e21 & ~ (all_22_7 = e22) & ~ % 60.95/9.69 | | | | | | | | | | | | | | | | | | | (all_22_15 = e21)) % 60.95/9.69 | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | Case 1: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | (236) all_22_8 = e20 & all_22_10 = e21 & ~ (all_22_6 = % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_15 = e21) % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | ALPHA: (236) implies: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | (237) all_22_8 = e20 % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (60), (237) are inconsistent by sub-proof % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | #135. % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | Case 2: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | (238) all_22_8 = e20 & all_22_12 = e21 & ~ (all_22_7 = % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_15 = e21) % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | ALPHA: (238) implies: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | (239) all_22_12 = e21 % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (131), (239) imply: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | (240) e21 = e20 % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | REDUCE: (105), (240) imply: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | (241) $false % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | CLOSE: (241) is inconsistent. % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | End of split % 60.95/9.69 | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | End of split % 60.95/9.69 | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | End of split % 60.95/9.69 | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | Case 2: % 60.95/9.69 | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | (242) (all_22_9 = e23 & all_22_12 = e20 & ~ (all_22_10 % 60.95/9.69 | | | | | | | | | | | | | | | | | = e20) & ~ (all_22_11 = e22)) | (all_22_9 = % 60.95/9.69 | | | | | | | | | | | | | | | | | e23 & all_22_14 = e20 & ~ (all_22_10 = e20) & % 60.95/9.69 | | | | | | | | | | | | | | | | | ~ (all_22_13 = e21)) | (all_22_10 = e20 & % 60.95/9.69 | | | | | | | | | | | | | | | | | all_22_11 = e22 & ~ (all_22_9 = e23) & ~ % 60.95/9.69 | | | | | | | | | | | | | | | | | (all_22_12 = e20)) | (all_22_10 = e20 & % 60.95/9.69 | | | | | | | | | | | | | | | | | all_22_13 = e21 & ~ (all_22_9 = e23) & ~ % 60.95/9.69 | | | | | | | | | | | | | | | | | (all_22_14 = e20)) | (all_22_11 = e22 & % 60.95/9.69 | | | | | | | | | | | | | | | | | all_22_14 = e20 & ~ (all_22_12 = e20) & ~ % 60.95/9.69 | | | | | | | | | | | | | | | | | (all_22_13 = e21)) | (all_22_12 = e20 & % 60.95/9.69 | | | | | | | | | | | | | | | | | all_22_13 = e21 & ~ (all_22_11 = e22) & ~ % 60.95/9.69 | | | | | | | | | | | | | | | | | (all_22_14 = e20)) % 60.95/9.69 | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | BETA: splitting (242) gives: % 60.95/9.69 | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | Case 1: % 60.95/9.69 | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | (243) (all_22_9 = e23 & all_22_12 = e20 & ~ (all_22_10 % 60.95/9.69 | | | | | | | | | | | | | | | | | | = e20) & ~ (all_22_11 = e22)) | (all_22_9 = % 60.95/9.69 | | | | | | | | | | | | | | | | | | e23 & all_22_14 = e20 & ~ (all_22_10 = e20) & % 60.95/9.69 | | | | | | | | | | | | | | | | | | ~ (all_22_13 = e21)) | (all_22_10 = e20 & % 60.95/9.69 | | | | | | | | | | | | | | | | | | all_22_11 = e22 & ~ (all_22_9 = e23) & ~ % 60.95/9.69 | | | | | | | | | | | | | | | | | | (all_22_12 = e20)) % 60.95/9.69 | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives: % 60.95/9.69 | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | Case 1: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | (244) all_22_9 = e23 & all_22_12 = e20 & ~ (all_22_10 = % 60.95/9.69 | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_11 = e22) % 60.95/9.69 | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | ALPHA: (244) implies: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | (245) all_22_9 = e23 % 60.95/9.69 | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (56), (245) are inconsistent by sub-proof % 60.95/9.69 | | | | | | | | | | | | | | | | | | | #149. % 60.95/9.69 | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | Case 2: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | (246) (all_22_9 = e23 & all_22_14 = e20 & ~ (all_22_10 % 60.95/9.69 | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_22_13 = e21)) | (all_22_10 = % 60.95/9.69 | | | | | | | | | | | | | | | | | | | e20 & all_22_11 = e22 & ~ (all_22_9 = e23) & ~ % 60.95/9.69 | | | | | | | | | | | | | | | | | | | (all_22_12 = e20)) % 60.95/9.69 | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | Case 1: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | (247) all_22_9 = e23 & all_22_14 = e20 & ~ (all_22_10 = % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | e20) & ~ (all_22_13 = e21) % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | ALPHA: (247) implies: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | (248) all_22_14 = e20 % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | (249) all_22_9 = e23 % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (56), (249) imply: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | (250) e23 = e22 % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (137), (248), (250) are inconsistent by % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | sub-proof #148. % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | Case 2: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | (251) all_22_10 = e20 & all_22_11 = e22 & ~ (all_22_9 = % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_12 = e20) % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | ALPHA: (251) implies: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | (252) all_22_11 = e22 % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | (253) all_22_10 = e20 % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (115), (253) imply: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | (254) e23 = e20 % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | SIMP: (254) implies: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | (255) e23 = e20 % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (36), (252) imply: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | (256) e23 = e22 % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | SIMP: (256) implies: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | (257) e23 = e22 % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (255), (257) are inconsistent by sub-proof % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | #158. % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | End of split % 60.95/9.69 | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | End of split % 60.95/9.69 | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | Case 2: % 60.95/9.69 | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | (258) (all_22_10 = e20 & all_22_13 = e21 & ~ (all_22_9 % 60.95/9.69 | | | | | | | | | | | | | | | | | | = e23) & ~ (all_22_14 = e20)) | (all_22_11 = % 60.95/9.69 | | | | | | | | | | | | | | | | | | e22 & all_22_14 = e20 & ~ (all_22_12 = e20) & % 60.95/9.69 | | | | | | | | | | | | | | | | | | ~ (all_22_13 = e21)) | (all_22_12 = e20 & % 60.95/9.69 | | | | | | | | | | | | | | | | | | all_22_13 = e21 & ~ (all_22_11 = e22) & ~ % 60.95/9.69 | | | | | | | | | | | | | | | | | | (all_22_14 = e20)) % 60.95/9.69 | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | BETA: splitting (258) gives: % 60.95/9.69 | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | Case 1: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | (259) all_22_10 = e20 & all_22_13 = e21 & ~ (all_22_9 = % 60.95/9.69 | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_14 = e20) % 60.95/9.69 | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (105), (259) are inconsistent by sub-proof % 60.95/9.69 | | | | | | | | | | | | | | | | | | | #129. % 60.95/9.69 | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | Case 2: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | (260) (all_22_11 = e22 & all_22_14 = e20 & ~ (all_22_12 % 60.95/9.69 | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_22_13 = e21)) | (all_22_12 = % 60.95/9.69 | | | | | | | | | | | | | | | | | | | e20 & all_22_13 = e21 & ~ (all_22_11 = e22) & % 60.95/9.69 | | | | | | | | | | | | | | | | | | | ~ (all_22_14 = e20)) % 60.95/9.69 | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | BETA: splitting (260) gives: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | Case 1: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | (261) all_22_11 = e22 & all_22_14 = e20 & ~ (all_22_12 % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | = e20) & ~ (all_22_13 = e21) % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | ALPHA: (261) implies: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | (262) all_22_14 = e20 % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | (263) all_22_11 = e22 % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (36), (263) imply: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | (264) e23 = e22 % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (137), (262), (264) are inconsistent by % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | sub-proof #148. % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | Case 2: % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | (265) all_22_12 = e20 & all_22_13 = e21 & ~ (all_22_11 % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | = e22) & ~ (all_22_14 = e20) % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (105), (265) are inconsistent by sub-proof % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | #127. % 60.95/9.69 | | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | | End of split % 60.95/9.69 | | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | | End of split % 60.95/9.69 | | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | | End of split % 60.95/9.69 | | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | | End of split % 60.95/9.69 | | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | | End of split % 60.95/9.69 | | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | | End of split % 60.95/9.69 | | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | End of split % 60.95/9.69 | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | Case 2: % 60.95/9.69 | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | (266) all_26_11 = e23 % 60.95/9.69 | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | COMBINE_EQS: (28), (266) imply: % 60.95/9.69 | | | | | | | | | | | | | (267) e23 = e20 % 60.95/9.69 | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | REDUCE: (66), (267) imply: % 60.95/9.69 | | | | | | | | | | | | | (268) $false % 60.95/9.69 | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | | CLOSE: (268) is inconsistent. % 60.95/9.69 | | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | End of split % 60.95/9.69 | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | Case 2: % 60.95/9.69 | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | (269) ~ (all_26_3 = e20) % 60.95/9.69 | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | REDUCE: (7), (269) imply: % 60.95/9.69 | | | | | | | | | | | | (270) ~ (all_6_2 = e20) % 60.95/9.69 | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | | REF_CLOSE: (7), (15), (18), (27), (66), (112), (270) are % 60.95/9.69 | | | | | | | | | | | | inconsistent by sub-proof #163. % 60.95/9.69 | | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | | End of split % 60.95/9.69 | | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | End of split % 60.95/9.69 | | | | | | | | | | % 60.95/9.69 | | | | | | | | | End of split % 60.95/9.69 | | | | | | | | | % 60.95/9.69 | | | | | | | | Case 2: % 60.95/9.69 | | | | | | | | | % 60.95/9.69 | | | | | | | | | (271) all_26_1 = e23 | all_26_4 = e23 | all_26_9 = e23 % 60.95/9.69 | | | | | | | | | % 60.95/9.69 | | | | | | | | | BETA: splitting (271) gives: % 60.95/9.69 | | | | | | | | | % 60.95/9.69 | | | | | | | | | Case 1: % 60.95/9.69 | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | (272) all_26_1 = e23 % 60.95/9.69 | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | COMBINE_EQS: (96), (272) imply: % 60.95/9.69 | | | | | | | | | | (273) e23 = e21 % 60.95/9.69 | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | REDUCE: (102), (273) imply: % 60.95/9.69 | | | | | | | | | | (274) $false % 60.95/9.69 | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | CLOSE: (274) is inconsistent. % 60.95/9.69 | | | | | | | | | | % 60.95/9.69 | | | | | | | | | Case 2: % 60.95/9.69 | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | (275) all_26_4 = e23 | all_26_9 = e23 % 60.95/9.69 | | | | | | | | | | % 60.95/9.69 | | | | | | | | | | REF_CLOSE: (4), (8), (66), (74), (275) are inconsistent by % 60.95/9.69 | | | | | | | | | | sub-proof #116. % 60.95/9.69 | | | | | | | | | | % 60.95/9.69 | | | | | | | | | End of split % 60.95/9.69 | | | | | | | | | % 60.95/9.69 | | | | | | | | End of split % 60.95/9.69 | | | | | | | | % 60.95/9.69 | | | | | | | End of split % 60.95/9.69 | | | | | | | % 60.95/9.69 | | | | | | End of split % 60.95/9.69 | | | | | | % 60.95/9.69 | | | | | Case 2: % 60.95/9.69 | | | | | | % 60.95/9.69 | | | | | | (276) all_18_1 = e23 % 60.95/9.69 | | | | | | % 60.95/9.69 | | | | | | COMBINE_EQS: (48), (276) imply: % 60.95/9.69 | | | | | | (277) all_14_4 = e23 % 60.95/9.69 | | | | | | % 60.95/9.69 | | | | | | REDUCE: (44), (277) imply: % 60.95/9.69 | | | | | | (278) $false % 60.95/9.69 | | | | | | % 60.95/9.69 | | | | | | CLOSE: (278) is inconsistent. % 60.95/9.69 | | | | | | % 60.95/9.69 | | | | | End of split % 60.95/9.69 | | | | | % 60.95/9.69 | | | | End of split % 60.95/9.69 | | | | % 60.95/9.69 | | | End of split % 60.95/9.69 | | | % 60.95/9.69 | | Case 2: % 60.95/9.69 | | | % 60.95/9.69 | | | (279) all_26_5 = e20 | all_26_8 = e20 | all_26_14 = e20 % 60.95/9.69 | | | % 60.95/9.69 | | | REF_CLOSE: (5), (22), (33), (38), (40), (42), (47), (64), (73), (279) are % 60.95/9.69 | | | inconsistent by sub-proof #95. % 60.95/9.69 | | | % 60.95/9.69 | | End of split % 60.95/9.69 | | % 60.95/9.69 | End of split % 60.95/9.69 | % 60.95/9.69 End of proof % 60.95/9.69 % 60.95/9.69 Sub-proof #95 shows that the following formulas are inconsistent: % 60.95/9.69 ---------------------------------------------------------------- % 60.95/9.69 (1) all_18_6 = all_14_9 % 60.95/9.69 (2) all_18_6 = e23 | all_18_6 = e21 % 60.95/9.69 (3) all_26_5 = all_14_9 % 60.95/9.69 (4) all_26_5 = e20 | all_26_8 = e20 | all_26_14 = e20 % 60.95/9.69 (5) ~ (all_14_9 = e20) % 60.95/9.69 (6) ~ (e22 = e20) % 60.95/9.69 (7) all_26_14 = e22 % 60.95/9.69 (8) ~ (all_14_9 = e23) % 60.95/9.69 (9) all_26_8 = all_4_2 % 60.95/9.69 (10) ~ (all_4_2 = e20) % 60.95/9.69 % 60.95/9.69 Begin of proof % 60.95/9.69 | % 60.95/9.69 | BETA: splitting (2) gives: % 60.95/9.69 | % 60.95/9.69 | Case 1: % 60.95/9.69 | | % 60.95/9.69 | | (11) all_18_6 = e21 % 60.95/9.69 | | % 60.95/9.69 | | COMBINE_EQS: (1), (11) imply: % 60.95/9.69 | | (12) all_14_9 = e21 % 60.95/9.69 | | % 60.95/9.69 | | SIMP: (12) implies: % 60.95/9.69 | | (13) all_14_9 = e21 % 60.95/9.70 | | % 60.95/9.70 | | COMBINE_EQS: (3), (13) imply: % 60.95/9.70 | | (14) all_26_5 = e21 % 60.95/9.70 | | % 60.95/9.70 | | REDUCE: (5), (13) imply: % 60.95/9.70 | | (15) ~ (e21 = e20) % 60.95/9.70 | | % 60.95/9.70 | | BETA: splitting (4) gives: % 60.95/9.70 | | % 60.95/9.70 | | Case 1: % 60.95/9.70 | | | % 60.95/9.70 | | | (16) all_26_5 = e20 % 60.95/9.70 | | | % 60.95/9.70 | | | COMBINE_EQS: (14), (16) imply: % 60.95/9.70 | | | (17) e21 = e20 % 60.95/9.70 | | | % 60.95/9.70 | | | SIMP: (17) implies: % 60.95/9.70 | | | (18) e21 = e20 % 60.95/9.70 | | | % 60.95/9.70 | | | REDUCE: (15), (18) imply: % 60.95/9.70 | | | (19) $false % 60.95/9.70 | | | % 60.95/9.70 | | | CLOSE: (19) is inconsistent. % 60.95/9.70 | | | % 60.95/9.70 | | Case 2: % 60.95/9.70 | | | % 60.95/9.70 | | | (20) all_26_8 = e20 | all_26_14 = e20 % 60.95/9.70 | | | % 60.95/9.70 | | | BETA: splitting (20) gives: % 60.95/9.70 | | | % 60.95/9.70 | | | Case 1: % 60.95/9.70 | | | | % 60.95/9.70 | | | | (21) all_26_8 = e20 % 60.95/9.70 | | | | % 60.95/9.70 | | | | REF_CLOSE: (9), (10), (21) are inconsistent by sub-proof #98. % 60.95/9.70 | | | | % 60.95/9.70 | | | Case 2: % 60.95/9.70 | | | | % 60.95/9.70 | | | | (22) all_26_14 = e20 % 60.95/9.70 | | | | % 60.95/9.70 | | | | REF_CLOSE: (6), (7), (22) are inconsistent by sub-proof #97. % 60.95/9.70 | | | | % 60.95/9.70 | | | End of split % 60.95/9.70 | | | % 60.95/9.70 | | End of split % 60.95/9.70 | | % 60.95/9.70 | Case 2: % 60.95/9.70 | | % 60.95/9.70 | | (23) all_18_6 = e23 % 60.95/9.70 | | % 60.95/9.70 | | REF_CLOSE: (1), (8), (23) are inconsistent by sub-proof #96. % 60.95/9.70 | | % 60.95/9.70 | End of split % 60.95/9.70 | % 60.95/9.70 End of proof % 60.95/9.70 % 60.95/9.70 Sub-proof #96 shows that the following formulas are inconsistent: % 60.95/9.70 ---------------------------------------------------------------- % 60.95/9.70 (1) all_18_6 = all_14_9 % 60.95/9.70 (2) all_18_6 = e23 % 60.95/9.70 (3) ~ (all_14_9 = e23) % 60.95/9.70 % 60.95/9.70 Begin of proof % 60.95/9.70 | % 60.95/9.70 | COMBINE_EQS: (1), (2) imply: % 60.95/9.70 | (4) all_14_9 = e23 % 60.95/9.70 | % 60.95/9.70 | SIMP: (4) implies: % 60.95/9.70 | (5) all_14_9 = e23 % 60.95/9.70 | % 60.95/9.70 | REDUCE: (3), (5) imply: % 60.95/9.70 | (6) $false % 60.95/9.70 | % 60.95/9.70 | CLOSE: (6) is inconsistent. % 60.95/9.70 | % 60.95/9.70 End of proof % 60.95/9.70 % 60.95/9.70 Sub-proof #97 shows that the following formulas are inconsistent: % 60.95/9.70 ---------------------------------------------------------------- % 60.95/9.70 (1) all_26_14 = e22 % 60.95/9.70 (2) all_26_14 = e20 % 60.95/9.70 (3) ~ (e22 = e20) % 60.95/9.70 % 60.95/9.70 Begin of proof % 60.95/9.70 | % 60.95/9.70 | COMBINE_EQS: (1), (2) imply: % 60.95/9.70 | (4) e22 = e20 % 60.95/9.70 | % 60.95/9.70 | SIMP: (4) implies: % 60.95/9.70 | (5) e22 = e20 % 60.95/9.70 | % 60.95/9.70 | REDUCE: (3), (5) imply: % 60.95/9.70 | (6) $false % 60.95/9.70 | % 60.95/9.70 | CLOSE: (6) is inconsistent. % 60.95/9.70 | % 60.95/9.70 End of proof % 60.95/9.70 % 60.95/9.70 Sub-proof #98 shows that the following formulas are inconsistent: % 60.95/9.70 ---------------------------------------------------------------- % 60.95/9.70 (1) all_26_8 = all_4_2 % 60.95/9.70 (2) all_26_8 = e20 % 60.95/9.70 (3) ~ (all_4_2 = e20) % 60.95/9.70 % 60.95/9.70 Begin of proof % 60.95/9.70 | % 60.95/9.70 | COMBINE_EQS: (1), (2) imply: % 60.95/9.70 | (4) all_4_2 = e20 % 60.95/9.70 | % 60.95/9.70 | SIMP: (4) implies: % 60.95/9.70 | (5) all_4_2 = e20 % 60.95/9.70 | % 60.95/9.70 | REDUCE: (3), (5) imply: % 60.95/9.70 | (6) $false % 60.95/9.70 | % 60.95/9.70 | CLOSE: (6) is inconsistent. % 60.95/9.70 | % 60.95/9.70 End of proof % 60.95/9.70 % 60.95/9.70 Sub-proof #99 shows that the following formulas are inconsistent: % 60.95/9.70 ---------------------------------------------------------------- % 60.95/9.70 (1) all_22_7 = all_14_9 % 60.95/9.70 (2) all_22_7 = e22 % 60.95/9.70 (3) ~ (all_14_9 = e22) % 60.95/9.70 % 60.95/9.70 Begin of proof % 60.95/9.70 | % 60.95/9.70 | COMBINE_EQS: (1), (2) imply: % 60.95/9.70 | (4) all_14_9 = e22 % 60.95/9.70 | % 60.95/9.70 | SIMP: (4) implies: % 60.95/9.70 | (5) all_14_9 = e22 % 60.95/9.70 | % 60.95/9.70 | REDUCE: (3), (5) imply: % 60.95/9.70 | (6) $false % 60.95/9.70 | % 60.95/9.70 | CLOSE: (6) is inconsistent. % 60.95/9.70 | % 60.95/9.70 End of proof % 60.95/9.70 % 60.95/9.70 Sub-proof #100 shows that the following formulas are inconsistent: % 60.95/9.70 ---------------------------------------------------------------- % 60.95/9.70 (1) ~ (e23 = e22) % 60.95/9.70 (2) all_26_7 = e22 | all_26_13 = e22 % 60.95/9.70 (3) all_26_7 = all_14_6 % 60.95/9.70 (4) all_26_13 = e23 % 60.95/9.70 (5) ~ (all_14_6 = e22) % 60.95/9.70 % 60.95/9.70 Begin of proof % 60.95/9.70 | % 60.95/9.70 | BETA: splitting (2) gives: % 60.95/9.70 | % 60.95/9.70 | Case 1: % 60.95/9.70 | | % 60.95/9.70 | | (6) all_26_7 = e22 % 60.95/9.70 | | % 60.95/9.70 | | COMBINE_EQS: (3), (6) imply: % 60.95/9.70 | | (7) all_14_6 = e22 % 60.95/9.70 | | % 60.95/9.70 | | SIMP: (7) implies: % 60.95/9.70 | | (8) all_14_6 = e22 % 60.95/9.70 | | % 60.95/9.70 | | REDUCE: (5), (8) imply: % 60.95/9.70 | | (9) $false % 60.95/9.70 | | % 60.95/9.70 | | CLOSE: (9) is inconsistent. % 60.95/9.70 | | % 60.95/9.70 | Case 2: % 60.95/9.70 | | % 60.95/9.70 | | (10) all_26_13 = e22 % 60.95/9.70 | | % 60.95/9.70 | | COMBINE_EQS: (4), (10) imply: % 60.95/9.70 | | (11) e23 = e22 % 60.95/9.70 | | % 60.95/9.70 | | SIMP: (11) implies: % 60.95/9.70 | | (12) e23 = e22 % 60.95/9.70 | | % 60.95/9.70 | | REDUCE: (1), (12) imply: % 60.95/9.70 | | (13) $false % 60.95/9.70 | | % 60.95/9.70 | | CLOSE: (13) is inconsistent. % 60.95/9.70 | | % 60.95/9.70 | End of split % 60.95/9.70 | % 60.95/9.70 End of proof % 60.95/9.70 % 60.95/9.70 Sub-proof #101 shows that the following formulas are inconsistent: % 60.95/9.70 ---------------------------------------------------------------- % 60.95/9.70 (1) ~ (e21 = e20) % 60.95/9.70 (2) ~ (e23 = e22) % 60.95/9.70 (3) ~ (all_14_2 = e21) % 60.95/9.70 (4) all_26_0 = e21 | all_26_2 = e21 | all_26_6 = e21 | all_26_12 = e21 % 60.95/9.70 (5) ~ (e22 = e20) % 60.95/9.70 (6) ~ (all_14_2 = e22) % 60.95/9.70 (7) ~ (e22 = e21) % 60.95/9.70 (8) all_26_0 = e23 % 60.95/9.70 (9) all_26_6 = all_14_2 % 60.95/9.70 (10) all_26_12 = e20 % 60.95/9.70 (11) all_26_0 = e22 | all_26_2 = e22 | all_26_6 = e22 | all_26_12 = e22 % 60.95/9.70 (12) ~ (e23 = e21) % 60.95/9.70 % 60.95/9.70 Begin of proof % 60.95/9.70 | % 60.95/9.70 | BETA: splitting (4) gives: % 60.95/9.70 | % 60.95/9.70 | Case 1: % 60.95/9.70 | | % 60.95/9.70 | | (13) all_26_0 = e21 % 60.95/9.70 | | % 60.95/9.70 | | COMBINE_EQS: (8), (13) imply: % 60.95/9.70 | | (14) e23 = e21 % 60.95/9.70 | | % 60.95/9.70 | | REDUCE: (12), (14) imply: % 60.95/9.70 | | (15) $false % 60.95/9.70 | | % 60.95/9.70 | | CLOSE: (15) is inconsistent. % 60.95/9.70 | | % 60.95/9.70 | Case 2: % 60.95/9.70 | | % 60.95/9.70 | | (16) all_26_2 = e21 | all_26_6 = e21 | all_26_12 = e21 % 60.95/9.70 | | % 60.95/9.70 | | BETA: splitting (16) gives: % 60.95/9.70 | | % 60.95/9.70 | | Case 1: % 60.95/9.70 | | | % 60.95/9.70 | | | (17) all_26_2 = e21 % 60.95/9.70 | | | % 60.95/9.70 | | | REF_CLOSE: (2), (5), (6), (7), (8), (9), (10), (11), (17) are inconsistent % 60.95/9.70 | | | by sub-proof #124. % 60.95/9.70 | | | % 60.95/9.70 | | Case 2: % 60.95/9.70 | | | % 61.27/9.70 | | | (18) all_26_6 = e21 | all_26_12 = e21 % 61.27/9.70 | | | % 61.27/9.70 | | | BETA: splitting (18) gives: % 61.27/9.70 | | | % 61.27/9.70 | | | Case 1: % 61.27/9.70 | | | | % 61.27/9.70 | | | | (19) all_26_6 = e21 % 61.27/9.70 | | | | % 61.27/9.70 | | | | COMBINE_EQS: (9), (19) imply: % 61.27/9.70 | | | | (20) all_14_2 = e21 % 61.27/9.70 | | | | % 61.27/9.70 | | | | SIMP: (20) implies: % 61.27/9.70 | | | | (21) all_14_2 = e21 % 61.27/9.70 | | | | % 61.27/9.70 | | | | REDUCE: (3), (21) imply: % 61.27/9.70 | | | | (22) $false % 61.27/9.70 | | | | % 61.27/9.70 | | | | CLOSE: (22) is inconsistent. % 61.27/9.70 | | | | % 61.27/9.70 | | | Case 2: % 61.27/9.70 | | | | % 61.27/9.70 | | | | (23) all_26_12 = e21 % 61.27/9.70 | | | | % 61.27/9.70 | | | | COMBINE_EQS: (10), (23) imply: % 61.27/9.70 | | | | (24) e21 = e20 % 61.27/9.70 | | | | % 61.27/9.70 | | | | REDUCE: (1), (24) imply: % 61.27/9.70 | | | | (25) $false % 61.27/9.70 | | | | % 61.27/9.70 | | | | CLOSE: (25) is inconsistent. % 61.27/9.70 | | | | % 61.27/9.70 | | | End of split % 61.27/9.70 | | | % 61.27/9.70 | | End of split % 61.27/9.70 | | % 61.27/9.70 | End of split % 61.27/9.70 | % 61.27/9.70 End of proof % 61.27/9.70 % 61.27/9.70 Sub-proof #102 shows that the following formulas are inconsistent: % 61.27/9.70 ---------------------------------------------------------------- % 61.27/9.70 (1) all_18_6 = all_14_9 % 61.27/9.70 (2) all_18_6 = e22 % 61.27/9.70 (3) ~ (all_14_9 = e22) % 61.27/9.70 % 61.27/9.70 Begin of proof % 61.27/9.70 | % 61.27/9.70 | COMBINE_EQS: (1), (2) imply: % 61.27/9.70 | (4) all_14_9 = e22 % 61.27/9.70 | % 61.27/9.70 | SIMP: (4) implies: % 61.27/9.70 | (5) all_14_9 = e22 % 61.27/9.70 | % 61.27/9.70 | REDUCE: (3), (5) imply: % 61.27/9.70 | (6) $false % 61.27/9.70 | % 61.27/9.70 | CLOSE: (6) is inconsistent. % 61.27/9.70 | % 61.27/9.70 End of proof % 61.27/9.70 % 61.27/9.70 Sub-proof #103 shows that the following formulas are inconsistent: % 61.27/9.70 ---------------------------------------------------------------- % 61.27/9.70 (1) ~ (e21 = e20) % 61.27/9.70 (2) (all_22_14 = e21 & ( ~ (all_22_10 = e21) | all_22_6 = e23) & ( ~ % 61.27/9.70 (all_22_12 = e21) | all_22_7 = e22) & ( ~ (all_22_15 = e21) | % 61.27/9.70 all_22_8 = e20)) | (all_22_15 = e20 & ( ~ (all_22_10 = e20) | % 61.27/9.70 all_22_9 = e23) & ( ~ (all_22_12 = e20) | all_22_11 = e22) & ( ~ % 61.27/9.70 (all_22_14 = e20) | all_22_13 = e21)) % 61.27/9.70 (3) all_22_15 = e21 % 61.27/9.70 (4) ~ (e22 = e20) % 61.27/9.70 (5) all_22_8 = e22 % 61.27/9.70 % 61.27/9.70 Begin of proof % 61.27/9.70 | % 61.27/9.70 | BETA: splitting (2) gives: % 61.27/9.70 | % 61.27/9.70 | Case 1: % 61.27/9.70 | | % 61.27/9.70 | | (6) all_22_14 = e21 & ( ~ (all_22_10 = e21) | all_22_6 = e23) & ( ~ % 61.27/9.70 | | (all_22_12 = e21) | all_22_7 = e22) & ( ~ (all_22_15 = e21) | % 61.27/9.70 | | all_22_8 = e20) % 61.27/9.70 | | % 61.27/9.70 | | REF_CLOSE: (3), (4), (5), (6) are inconsistent by sub-proof #104. % 61.27/9.70 | | % 61.27/9.70 | Case 2: % 61.27/9.70 | | % 61.27/9.70 | | (7) all_22_15 = e20 & ( ~ (all_22_10 = e20) | all_22_9 = e23) & ( ~ % 61.27/9.70 | | (all_22_12 = e20) | all_22_11 = e22) & ( ~ (all_22_14 = e20) | % 61.27/9.70 | | all_22_13 = e21) % 61.27/9.70 | | % 61.27/9.70 | | ALPHA: (7) implies: % 61.27/9.70 | | (8) all_22_15 = e20 % 61.27/9.70 | | % 61.27/9.70 | | COMBINE_EQS: (3), (8) imply: % 61.27/9.70 | | (9) e21 = e20 % 61.27/9.70 | | % 61.27/9.70 | | SIMP: (9) implies: % 61.27/9.70 | | (10) e21 = e20 % 61.27/9.70 | | % 61.27/9.70 | | REDUCE: (1), (10) imply: % 61.27/9.70 | | (11) $false % 61.27/9.70 | | % 61.27/9.70 | | CLOSE: (11) is inconsistent. % 61.27/9.70 | | % 61.27/9.70 | End of split % 61.27/9.70 | % 61.27/9.70 End of proof % 61.27/9.70 % 61.27/9.70 Sub-proof #104 shows that the following formulas are inconsistent: % 61.27/9.70 ---------------------------------------------------------------- % 61.27/9.70 (1) all_22_14 = e21 & ( ~ (all_22_10 = e21) | all_22_6 = e23) & ( ~ % 61.27/9.70 (all_22_12 = e21) | all_22_7 = e22) & ( ~ (all_22_15 = e21) | all_22_8 % 61.27/9.70 = e20) % 61.27/9.70 (2) all_22_15 = e21 % 61.27/9.70 (3) all_22_8 = e22 % 61.27/9.70 (4) ~ (e22 = e20) % 61.27/9.70 % 61.27/9.70 Begin of proof % 61.27/9.70 | % 61.27/9.70 | ALPHA: (1) implies: % 61.27/9.70 | (5) ~ (all_22_15 = e21) | all_22_8 = e20 % 61.27/9.70 | % 61.27/9.70 | BETA: splitting (5) gives: % 61.27/9.70 | % 61.27/9.70 | Case 1: % 61.27/9.70 | | % 61.27/9.70 | | (6) ~ (all_22_15 = e21) % 61.27/9.70 | | % 61.27/9.70 | | REDUCE: (2), (6) imply: % 61.27/9.70 | | (7) $false % 61.27/9.70 | | % 61.27/9.70 | | CLOSE: (7) is inconsistent. % 61.27/9.70 | | % 61.27/9.70 | Case 2: % 61.27/9.70 | | % 61.27/9.70 | | (8) all_22_8 = e20 % 61.27/9.70 | | % 61.27/9.70 | | COMBINE_EQS: (3), (8) imply: % 61.27/9.70 | | (9) e22 = e20 % 61.27/9.70 | | % 61.27/9.70 | | REDUCE: (4), (9) imply: % 61.27/9.70 | | (10) $false % 61.27/9.70 | | % 61.27/9.70 | | CLOSE: (10) is inconsistent. % 61.27/9.70 | | % 61.27/9.70 | End of split % 61.27/9.70 | % 61.27/9.70 End of proof % 61.27/9.70 % 61.27/9.70 Sub-proof #105 shows that the following formulas are inconsistent: % 61.27/9.70 ---------------------------------------------------------------- % 61.27/9.70 (1) all_18_0 = all_8_2 % 61.27/9.70 (2) all_26_0 = e23 | all_26_2 = e23 | all_26_6 = e23 | all_26_12 = e23 % 61.27/9.70 (3) all_18_0 = e23 | all_18_0 = e22 | all_18_0 = e21 % 61.27/9.70 (4) all_18_2 = e23 | all_18_2 = e22 | all_18_2 = e21 % 61.27/9.70 (5) ~ (all_8_2 = e22) % 61.27/9.70 (6) ~ (all_14_8 = e21) % 61.27/9.70 (7) ~ (all_14_8 = all_8_2) % 61.27/9.70 (8) ~ (all_8_2 = e21) % 61.27/9.70 (9) all_26_0 = all_8_2 % 61.27/9.70 (10) ~ (all_14_8 = e22) % 61.27/9.70 (11) all_18_2 = all_14_8 % 61.27/9.70 % 61.27/9.70 Begin of proof % 61.27/9.70 | % 61.27/9.70 | BETA: splitting (2) gives: % 61.27/9.70 | % 61.27/9.70 | Case 1: % 61.27/9.70 | | % 61.27/9.70 | | (12) all_26_0 = e23 % 61.27/9.70 | | % 61.27/9.70 | | COMBINE_EQS: (9), (12) imply: % 61.27/9.70 | | (13) all_8_2 = e23 % 61.27/9.70 | | % 61.27/9.70 | | SIMP: (13) implies: % 61.27/9.70 | | (14) all_8_2 = e23 % 61.27/9.70 | | % 61.27/9.70 | | REDUCE: (7), (14) imply: % 61.27/9.70 | | (15) ~ (all_14_8 = e23) % 61.27/9.70 | | % 61.27/9.70 | | BETA: splitting (4) gives: % 61.27/9.70 | | % 61.27/9.70 | | Case 1: % 61.27/9.70 | | | % 61.27/9.70 | | | (16) all_18_2 = e22 % 61.27/9.70 | | | % 61.27/9.70 | | | COMBINE_EQS: (11), (16) imply: % 61.27/9.70 | | | (17) all_14_8 = e22 % 61.27/9.70 | | | % 61.27/9.70 | | | REDUCE: (10), (17) imply: % 61.27/9.70 | | | (18) $false % 61.27/9.70 | | | % 61.27/9.70 | | | CLOSE: (18) is inconsistent. % 61.27/9.70 | | | % 61.27/9.70 | | Case 2: % 61.27/9.70 | | | % 61.27/9.70 | | | (19) all_18_2 = e23 | all_18_2 = e21 % 61.27/9.70 | | | % 61.27/9.70 | | | BETA: splitting (19) gives: % 61.27/9.70 | | | % 61.27/9.70 | | | Case 1: % 61.27/9.70 | | | | % 61.27/9.70 | | | | (20) all_18_2 = e21 % 61.27/9.70 | | | | % 61.27/9.70 | | | | COMBINE_EQS: (11), (20) imply: % 61.27/9.70 | | | | (21) all_14_8 = e21 % 61.27/9.70 | | | | % 61.27/9.70 | | | | REDUCE: (6), (21) imply: % 61.27/9.70 | | | | (22) $false % 61.27/9.70 | | | | % 61.27/9.70 | | | | CLOSE: (22) is inconsistent. % 61.27/9.70 | | | | % 61.27/9.70 | | | Case 2: % 61.27/9.70 | | | | % 61.27/9.70 | | | | (23) all_18_2 = e23 % 61.27/9.70 | | | | % 61.27/9.70 | | | | COMBINE_EQS: (11), (23) imply: % 61.27/9.70 | | | | (24) all_14_8 = e23 % 61.27/9.70 | | | | % 61.27/9.70 | | | | REDUCE: (15), (24) imply: % 61.27/9.70 | | | | (25) $false % 61.27/9.70 | | | | % 61.27/9.70 | | | | CLOSE: (25) is inconsistent. % 61.27/9.70 | | | | % 61.27/9.70 | | | End of split % 61.27/9.70 | | | % 61.27/9.70 | | End of split % 61.27/9.70 | | % 61.27/9.70 | Case 2: % 61.27/9.70 | | % 61.27/9.70 | | (26) ~ (all_26_0 = e23) % 61.27/9.70 | | % 61.27/9.70 | | REDUCE: (9), (26) imply: % 61.27/9.70 | | (27) ~ (all_8_2 = e23) % 61.27/9.70 | | % 61.27/9.70 | | REF_CLOSE: (1), (3), (5), (8), (27) are inconsistent by sub-proof #120. % 61.27/9.70 | | % 61.27/9.70 | End of split % 61.27/9.70 | % 61.27/9.70 End of proof % 61.27/9.70 % 61.27/9.70 Sub-proof #106 shows that the following formulas are inconsistent: % 61.27/9.70 ---------------------------------------------------------------- % 61.27/9.70 (1) all_22_3 = all_14_4 % 61.27/9.70 (2) all_22_10 = all_8_2 % 61.27/9.70 (3) ~ (all_14_1 = e22) % 61.27/9.70 (4) ~ (all_22_10 = e22) | all_22_3 = e23 % 61.27/9.70 (5) ~ (e22 = e20) % 61.27/9.70 (6) ~ (all_14_2 = e22) % 61.27/9.70 (7) all_26_2 = all_14_1 % 61.27/9.70 (8) ~ (all_14_4 = e23) % 61.27/9.70 (9) all_26_0 = all_8_2 % 61.27/9.70 (10) all_26_6 = all_14_2 % 61.27/9.70 (11) all_26_12 = e20 % 61.27/9.70 (12) all_26_0 = e22 | all_26_2 = e22 | all_26_6 = e22 | all_26_12 = e22 % 61.27/9.70 % 61.27/9.70 Begin of proof % 61.27/9.70 | % 61.27/9.70 | BETA: splitting (4) gives: % 61.27/9.70 | % 61.27/9.70 | Case 1: % 61.27/9.70 | | % 61.27/9.70 | | (13) ~ (all_22_10 = e22) % 61.27/9.70 | | % 61.27/9.70 | | REDUCE: (2), (13) imply: % 61.27/9.70 | | (14) ~ (all_8_2 = e22) % 61.27/9.70 | | % 61.27/9.70 | | REF_CLOSE: (3), (5), (6), (7), (9), (10), (11), (12), (14) are inconsistent % 61.27/9.70 | | by sub-proof #107. % 61.27/9.70 | | % 61.27/9.70 | Case 2: % 61.27/9.70 | | % 61.27/9.70 | | (15) all_22_3 = e23 % 61.27/9.70 | | % 61.27/9.70 | | COMBINE_EQS: (1), (15) imply: % 61.27/9.70 | | (16) all_14_4 = e23 % 61.27/9.70 | | % 61.27/9.70 | | REDUCE: (8), (16) imply: % 61.27/9.70 | | (17) $false % 61.27/9.70 | | % 61.27/9.70 | | CLOSE: (17) is inconsistent. % 61.27/9.70 | | % 61.27/9.70 | End of split % 61.27/9.70 | % 61.27/9.70 End of proof % 61.27/9.70 % 61.27/9.70 Sub-proof #107 shows that the following formulas are inconsistent: % 61.27/9.70 ---------------------------------------------------------------- % 61.27/9.70 (1) ~ (all_14_1 = e22) % 61.27/9.70 (2) ~ (all_8_2 = e22) % 61.27/9.70 (3) ~ (e22 = e20) % 61.27/9.70 (4) ~ (all_14_2 = e22) % 61.27/9.70 (5) all_26_2 = all_14_1 % 61.27/9.70 (6) all_26_0 = all_8_2 % 61.27/9.70 (7) all_26_6 = all_14_2 % 61.27/9.70 (8) all_26_12 = e20 % 61.27/9.70 (9) all_26_0 = e22 | all_26_2 = e22 | all_26_6 = e22 | all_26_12 = e22 % 61.27/9.70 % 61.27/9.70 Begin of proof % 61.27/9.70 | % 61.27/9.70 | BETA: splitting (9) gives: % 61.27/9.70 | % 61.27/9.70 | Case 1: % 61.27/9.70 | | % 61.27/9.70 | | (10) all_26_0 = e22 % 61.27/9.70 | | % 61.27/9.70 | | COMBINE_EQS: (6), (10) imply: % 61.27/9.70 | | (11) all_8_2 = e22 % 61.27/9.70 | | % 61.27/9.70 | | REDUCE: (2), (11) imply: % 61.27/9.70 | | (12) $false % 61.27/9.70 | | % 61.27/9.70 | | CLOSE: (12) is inconsistent. % 61.27/9.70 | | % 61.27/9.70 | Case 2: % 61.27/9.70 | | % 61.27/9.70 | | (13) all_26_2 = e22 | all_26_6 = e22 | all_26_12 = e22 % 61.27/9.70 | | % 61.27/9.70 | | REF_CLOSE: (1), (3), (4), (5), (7), (8), (13) are inconsistent by sub-proof % 61.27/9.70 | | #108. % 61.27/9.70 | | % 61.27/9.70 | End of split % 61.27/9.70 | % 61.27/9.70 End of proof % 61.27/9.70 % 61.27/9.70 Sub-proof #108 shows that the following formulas are inconsistent: % 61.27/9.70 ---------------------------------------------------------------- % 61.27/9.70 (1) ~ (all_14_1 = e22) % 61.27/9.70 (2) ~ (e22 = e20) % 61.27/9.70 (3) ~ (all_14_2 = e22) % 61.27/9.70 (4) all_26_2 = all_14_1 % 61.27/9.70 (5) all_26_2 = e22 | all_26_6 = e22 | all_26_12 = e22 % 61.27/9.70 (6) all_26_6 = all_14_2 % 61.27/9.70 (7) all_26_12 = e20 % 61.27/9.70 % 61.27/9.70 Begin of proof % 61.27/9.70 | % 61.27/9.70 | BETA: splitting (5) gives: % 61.27/9.70 | % 61.27/9.70 | Case 1: % 61.27/9.70 | | % 61.27/9.70 | | (8) all_26_2 = e22 % 61.27/9.70 | | % 61.27/9.70 | | REF_CLOSE: (1), (4), (8) are inconsistent by sub-proof #109. % 61.27/9.70 | | % 61.27/9.70 | Case 2: % 61.27/9.70 | | % 61.27/9.70 | | (9) all_26_6 = e22 | all_26_12 = e22 % 61.27/9.70 | | % 61.27/9.70 | | REF_CLOSE: (2), (3), (6), (7), (9) are inconsistent by sub-proof #125. % 61.27/9.70 | | % 61.27/9.70 | End of split % 61.27/9.70 | % 61.27/9.70 End of proof % 61.27/9.70 % 61.27/9.70 Sub-proof #109 shows that the following formulas are inconsistent: % 61.27/9.70 ---------------------------------------------------------------- % 61.27/9.70 (1) all_26_2 = all_14_1 % 61.27/9.70 (2) all_26_2 = e22 % 61.27/9.70 (3) ~ (all_14_1 = e22) % 61.27/9.70 % 61.27/9.70 Begin of proof % 61.27/9.70 | % 61.27/9.70 | COMBINE_EQS: (1), (2) imply: % 61.27/9.70 | (4) all_14_1 = e22 % 61.27/9.70 | % 61.27/9.70 | SIMP: (4) implies: % 61.27/9.70 | (5) all_14_1 = e22 % 61.27/9.70 | % 61.27/9.70 | REDUCE: (3), (5) imply: % 61.27/9.70 | (6) $false % 61.27/9.70 | % 61.27/9.70 | CLOSE: (6) is inconsistent. % 61.27/9.70 | % 61.27/9.70 End of proof % 61.27/9.70 % 61.27/9.70 Sub-proof #110 shows that the following formulas are inconsistent: % 61.27/9.70 ---------------------------------------------------------------- % 61.27/9.70 (1) (all_22_0 = e22 & all_22_14 = e23 & ~ (all_22_1 = e21) & ~ (all_22_12 = % 61.27/9.70 e23)) | (all_22_0 = e22 & all_22_15 = e23 & ~ (all_22_2 = e20) & ~ % 61.27/9.70 (all_22_12 = e23)) | (all_22_1 = e21 & all_22_12 = e23 & ~ (all_22_0 = % 61.27/9.70 e22) & ~ (all_22_14 = e23)) | (all_22_1 = e21 & all_22_15 = e23 & ~ % 61.27/9.70 (all_22_2 = e20) & ~ (all_22_14 = e23)) | (all_22_2 = e20 & all_22_12 % 61.27/9.70 = e23 & ~ (all_22_0 = e22) & ~ (all_22_15 = e23)) | (all_22_2 = e20 & % 61.27/9.70 all_22_14 = e23 & ~ (all_22_1 = e21) & ~ (all_22_15 = e23)) | % 61.27/9.70 (all_22_3 = e23 & all_22_14 = e22 & ~ (all_22_4 = e21) & ~ (all_22_10 = % 61.27/9.70 e22)) | (all_22_3 = e23 & all_22_15 = e22 & ~ (all_22_5 = e20) & ~ % 61.27/9.70 (all_22_10 = e22)) | (all_22_4 = e21 & all_22_10 = e22 & ~ (all_22_3 = % 61.27/9.70 e23) & ~ (all_22_14 = e22)) | (all_22_4 = e21 & all_22_15 = e22 & ~ % 61.27/9.70 (all_22_5 = e20) & ~ (all_22_14 = e22)) | (all_22_5 = e20 & all_22_10 % 61.27/9.70 = e22 & ~ (all_22_3 = e23) & ~ (all_22_15 = e22)) | (all_22_5 = e20 & % 61.27/9.70 all_22_14 = e22 & ~ (all_22_4 = e21) & ~ (all_22_15 = e22)) | % 61.27/9.70 (all_22_6 = e23 & all_22_12 = e21 & ~ (all_22_7 = e22) & ~ (all_22_10 = % 61.27/9.70 e21)) | (all_22_6 = e23 & all_22_15 = e21 & ~ (all_22_8 = e20) & ~ % 61.27/9.70 (all_22_10 = e21)) | (all_22_7 = e22 & all_22_10 = e21 & ~ (all_22_6 = % 61.27/9.70 e23) & ~ (all_22_12 = e21)) | (all_22_7 = e22 & all_22_15 = e21 & ~ % 61.27/9.70 (all_22_8 = e20) & ~ (all_22_12 = e21)) | (all_22_8 = e20 & all_22_10 % 61.27/9.70 = e21 & ~ (all_22_6 = e23) & ~ (all_22_15 = e21)) | (all_22_8 = e20 & % 61.27/9.70 all_22_12 = e21 & ~ (all_22_7 = e22) & ~ (all_22_15 = e21)) | % 61.27/9.70 (all_22_9 = e23 & all_22_12 = e20 & ~ (all_22_10 = e20) & ~ (all_22_11 % 61.27/9.70 = e22)) | (all_22_9 = e23 & all_22_14 = e20 & ~ (all_22_10 = e20) & % 61.27/9.70 ~ (all_22_13 = e21)) | (all_22_10 = e20 & all_22_11 = e22 & ~ % 61.27/9.70 (all_22_9 = e23) & ~ (all_22_12 = e20)) | (all_22_10 = e20 & all_22_13 % 61.27/9.70 = e21 & ~ (all_22_9 = e23) & ~ (all_22_14 = e20)) | (all_22_11 = e22 % 61.27/9.70 & all_22_14 = e20 & ~ (all_22_12 = e20) & ~ (all_22_13 = e21)) | % 61.27/9.70 (all_22_12 = e20 & all_22_13 = e21 & ~ (all_22_11 = e22) & ~ (all_22_14 % 61.27/9.70 = e20)) % 61.27/9.70 (2) ~ (e21 = e20) % 61.27/9.70 (3) all_26_9 = e22 % 61.27/9.70 (4) ~ (e23 = e22) % 61.27/9.70 (5) all_22_7 = e20 % 61.27/9.70 (6) ~ (all_14_8 = e20) % 61.27/9.70 (7) all_22_5 = e23 % 61.27/9.70 (8) all_26_1 = e23 | all_26_4 = e23 | all_26_9 = e23 % 61.27/9.70 (9) ~ (all_14_8 = all_4_2) % 61.27/9.70 (10) all_26_4 = all_14_8 % 61.27/9.70 (11) all_22_15 = e21 % 61.27/9.70 (12) all_22_1 = e22 % 61.27/9.70 (13) ~ (all_14_8 = e21) % 61.27/9.70 (14) all_22_10 = e21 % 61.27/9.70 (15) all_26_1 = e20 % 61.27/9.70 (16) all_22_11 = e23 % 61.27/9.70 (17) ~ (e22 = e20) % 61.27/9.70 (18) all_22_3 = e20 % 61.27/9.70 (19) all_22_13 = e20 % 61.27/9.70 (20) ~ (e22 = e21) % 61.27/9.70 (21) all_22_14 = all_4_2 % 61.27/9.70 (22) all_22_12 = e22 % 61.27/9.70 (23) all_22_9 = e22 % 61.27/9.70 (24) all_22_8 = e22 % 61.27/9.70 (25) ~ (all_14_8 = e22) % 61.27/9.70 (26) ~ (e23 = e20) % 61.27/9.70 % 61.27/9.70 Begin of proof % 61.27/9.70 | % 61.27/9.70 | BETA: splitting (8) gives: % 61.27/9.70 | % 61.27/9.70 | Case 1: % 61.27/9.70 | | % 61.27/9.70 | | (27) all_26_1 = e23 % 61.27/9.70 | | % 61.27/9.70 | | COMBINE_EQS: (15), (27) imply: % 61.27/9.70 | | (28) e23 = e20 % 61.27/9.70 | | % 61.27/9.70 | | REDUCE: (26), (28) imply: % 61.27/9.70 | | (29) $false % 61.27/9.70 | | % 61.27/9.70 | | CLOSE: (29) is inconsistent. % 61.27/9.70 | | % 61.27/9.70 | Case 2: % 61.27/9.70 | | % 61.27/9.70 | | (30) all_26_4 = e23 | all_26_9 = e23 % 61.27/9.70 | | % 61.27/9.70 | | BETA: splitting (30) gives: % 61.27/9.70 | | % 61.27/9.70 | | Case 1: % 61.27/9.70 | | | % 61.27/9.70 | | | (31) all_26_4 = e23 % 61.27/9.70 | | | % 61.27/9.70 | | | COMBINE_EQS: (10), (31) imply: % 61.27/9.70 | | | (32) all_14_8 = e23 % 61.27/9.70 | | | % 61.27/9.70 | | | SIMP: (32) implies: % 61.27/9.70 | | | (33) all_14_8 = e23 % 61.27/9.70 | | | % 61.27/9.70 | | | REDUCE: (9), (33) imply: % 61.27/9.70 | | | (34) ~ (all_4_2 = e23) % 61.27/9.70 | | | % 61.27/9.70 | | | SIMP: (34) implies: % 61.27/9.70 | | | (35) ~ (all_4_2 = e23) % 61.27/9.70 | | | % 61.27/9.70 | | | REDUCE: (13), (33) imply: % 61.27/9.70 | | | (36) ~ (e23 = e21) % 61.27/9.70 | | | % 61.27/9.70 | | | BETA: splitting (1) gives: % 61.27/9.70 | | | % 61.27/9.70 | | | Case 1: % 61.27/9.70 | | | | % 61.27/9.71 | | | | (37) (all_22_0 = e22 & all_22_14 = e23 & ~ (all_22_1 = e21) & ~ % 61.27/9.71 | | | | (all_22_12 = e23)) | (all_22_0 = e22 & all_22_15 = e23 & ~ % 61.27/9.71 | | | | (all_22_2 = e20) & ~ (all_22_12 = e23)) | (all_22_1 = e21 & % 61.27/9.71 | | | | all_22_12 = e23 & ~ (all_22_0 = e22) & ~ (all_22_14 = e23)) % 61.27/9.71 | | | | | (all_22_1 = e21 & all_22_15 = e23 & ~ (all_22_2 = e20) & ~ % 61.27/9.71 | | | | (all_22_14 = e23)) | (all_22_2 = e20 & all_22_12 = e23 & ~ % 61.27/9.71 | | | | (all_22_0 = e22) & ~ (all_22_15 = e23)) | (all_22_2 = e20 & % 61.27/9.71 | | | | all_22_14 = e23 & ~ (all_22_1 = e21) & ~ (all_22_15 = e23)) % 61.27/9.71 | | | | | (all_22_3 = e23 & all_22_14 = e22 & ~ (all_22_4 = e21) & ~ % 61.27/9.71 | | | | (all_22_10 = e22)) | (all_22_3 = e23 & all_22_15 = e22 & ~ % 61.27/9.71 | | | | (all_22_5 = e20) & ~ (all_22_10 = e22)) | (all_22_4 = e21 & % 61.27/9.71 | | | | all_22_10 = e22 & ~ (all_22_3 = e23) & ~ (all_22_14 = e22)) % 61.27/9.71 | | | | | (all_22_4 = e21 & all_22_15 = e22 & ~ (all_22_5 = e20) & ~ % 61.27/9.71 | | | | (all_22_14 = e22)) | (all_22_5 = e20 & all_22_10 = e22 & ~ % 61.27/9.71 | | | | (all_22_3 = e23) & ~ (all_22_15 = e22)) | (all_22_5 = e20 & % 61.27/9.71 | | | | all_22_14 = e22 & ~ (all_22_4 = e21) & ~ (all_22_15 = e22)) % 61.27/9.71 | | | | % 61.27/9.71 | | | | BETA: splitting (37) gives: % 61.27/9.71 | | | | % 61.27/9.71 | | | | Case 1: % 61.27/9.71 | | | | | % 61.27/9.71 | | | | | (38) (all_22_0 = e22 & all_22_14 = e23 & ~ (all_22_1 = e21) & ~ % 61.27/9.71 | | | | | (all_22_12 = e23)) | (all_22_0 = e22 & all_22_15 = e23 & ~ % 61.27/9.71 | | | | | (all_22_2 = e20) & ~ (all_22_12 = e23)) | (all_22_1 = e21 & % 61.27/9.71 | | | | | all_22_12 = e23 & ~ (all_22_0 = e22) & ~ (all_22_14 = % 61.27/9.71 | | | | | e23)) | (all_22_1 = e21 & all_22_15 = e23 & ~ (all_22_2 = % 61.27/9.71 | | | | | e20) & ~ (all_22_14 = e23)) | (all_22_2 = e20 & all_22_12 % 61.27/9.71 | | | | | = e23 & ~ (all_22_0 = e22) & ~ (all_22_15 = e23)) | % 61.27/9.71 | | | | | (all_22_2 = e20 & all_22_14 = e23 & ~ (all_22_1 = e21) & ~ % 61.27/9.71 | | | | | (all_22_15 = e23)) % 61.27/9.71 | | | | | % 61.27/9.71 | | | | | BETA: splitting (38) gives: % 61.27/9.71 | | | | | % 61.27/9.71 | | | | | Case 1: % 61.27/9.71 | | | | | | % 61.27/9.71 | | | | | | (39) (all_22_0 = e22 & all_22_14 = e23 & ~ (all_22_1 = e21) & ~ % 61.27/9.71 | | | | | | (all_22_12 = e23)) | (all_22_0 = e22 & all_22_15 = e23 & % 61.27/9.71 | | | | | | ~ (all_22_2 = e20) & ~ (all_22_12 = e23)) | (all_22_1 = % 61.27/9.71 | | | | | | e21 & all_22_12 = e23 & ~ (all_22_0 = e22) & ~ % 61.27/9.71 | | | | | | (all_22_14 = e23)) % 61.27/9.71 | | | | | | % 61.27/9.71 | | | | | | BETA: splitting (39) gives: % 61.27/9.71 | | | | | | % 61.27/9.71 | | | | | | Case 1: % 61.27/9.71 | | | | | | | % 61.27/9.71 | | | | | | | (40) all_22_0 = e22 & all_22_14 = e23 & ~ (all_22_1 = e21) & % 61.27/9.71 | | | | | | | ~ (all_22_12 = e23) % 61.27/9.71 | | | | | | | % 61.27/9.71 | | | | | | | ALPHA: (40) implies: % 61.27/9.71 | | | | | | | (41) all_22_14 = e23 % 61.27/9.71 | | | | | | | % 61.27/9.71 | | | | | | | REF_CLOSE: (21), (35), (41) are inconsistent by sub-proof #119. % 61.27/9.71 | | | | | | | % 61.27/9.71 | | | | | | Case 2: % 61.27/9.71 | | | | | | | % 61.27/9.71 | | | | | | | (42) (all_22_0 = e22 & all_22_15 = e23 & ~ (all_22_2 = e20) & % 61.27/9.71 | | | | | | | ~ (all_22_12 = e23)) | (all_22_1 = e21 & all_22_12 = e23 % 61.27/9.71 | | | | | | | & ~ (all_22_0 = e22) & ~ (all_22_14 = e23)) % 61.27/9.71 | | | | | | | % 61.27/9.71 | | | | | | | BETA: splitting (42) gives: % 61.27/9.71 | | | | | | | % 61.27/9.71 | | | | | | | Case 1: % 61.27/9.71 | | | | | | | | % 61.27/9.71 | | | | | | | | (43) all_22_0 = e22 & all_22_15 = e23 & ~ (all_22_2 = e20) & % 61.27/9.71 | | | | | | | | ~ (all_22_12 = e23) % 61.27/9.71 | | | | | | | | % 61.27/9.71 | | | | | | | | ALPHA: (43) implies: % 61.27/9.71 | | | | | | | | (44) all_22_15 = e23 % 61.27/9.71 | | | | | | | | % 61.27/9.71 | | | | | | | | REF_CLOSE: (11), (36), (44) are inconsistent by sub-proof #118. % 61.27/9.71 | | | | | | | | % 61.27/9.71 | | | | | | | Case 2: % 61.27/9.71 | | | | | | | | % 61.27/9.71 | | | | | | | | (45) all_22_1 = e21 & all_22_12 = e23 & ~ (all_22_0 = e22) & % 61.27/9.71 | | | | | | | | ~ (all_22_14 = e23) % 61.27/9.71 | | | | | | | | % 61.27/9.71 | | | | | | | | ALPHA: (45) implies: % 61.27/9.71 | | | | | | | | (46) all_22_1 = e21 % 61.27/9.71 | | | | | | | | % 61.27/9.71 | | | | | | | | REF_CLOSE: (12), (20), (46) are inconsistent by sub-proof #143. % 61.27/9.71 | | | | | | | | % 61.27/9.71 | | | | | | | End of split % 61.27/9.71 | | | | | | | % 61.27/9.71 | | | | | | End of split % 61.27/9.71 | | | | | | % 61.27/9.71 | | | | | Case 2: % 61.27/9.71 | | | | | | % 61.27/9.71 | | | | | | (47) (all_22_1 = e21 & all_22_15 = e23 & ~ (all_22_2 = e20) & ~ % 61.27/9.71 | | | | | | (all_22_14 = e23)) | (all_22_2 = e20 & all_22_12 = e23 & % 61.27/9.71 | | | | | | ~ (all_22_0 = e22) & ~ (all_22_15 = e23)) | (all_22_2 = % 61.27/9.71 | | | | | | e20 & all_22_14 = e23 & ~ (all_22_1 = e21) & ~ % 61.27/9.71 | | | | | | (all_22_15 = e23)) % 61.27/9.71 | | | | | | % 61.27/9.71 | | | | | | BETA: splitting (47) gives: % 61.27/9.71 | | | | | | % 61.27/9.71 | | | | | | Case 1: % 61.27/9.71 | | | | | | | % 61.27/9.71 | | | | | | | (48) all_22_1 = e21 & all_22_15 = e23 & ~ (all_22_2 = e20) & % 61.27/9.71 | | | | | | | ~ (all_22_14 = e23) % 61.27/9.71 | | | | | | | % 61.27/9.71 | | | | | | | ALPHA: (48) implies: % 61.27/9.71 | | | | | | | (49) all_22_1 = e21 % 61.27/9.71 | | | | | | | % 61.27/9.71 | | | | | | | REF_CLOSE: (12), (20), (49) are inconsistent by sub-proof #143. % 61.27/9.71 | | | | | | | % 61.27/9.71 | | | | | | Case 2: % 61.27/9.71 | | | | | | | % 61.27/9.71 | | | | | | | (50) (all_22_2 = e20 & all_22_12 = e23 & ~ (all_22_0 = e22) & % 61.27/9.71 | | | | | | | ~ (all_22_15 = e23)) | (all_22_2 = e20 & all_22_14 = e23 % 61.27/9.71 | | | | | | | & ~ (all_22_1 = e21) & ~ (all_22_15 = e23)) % 61.27/9.71 | | | | | | | % 61.27/9.71 | | | | | | | BETA: splitting (50) gives: % 61.27/9.71 | | | | | | | % 61.27/9.71 | | | | | | | Case 1: % 61.27/9.71 | | | | | | | | % 61.27/9.71 | | | | | | | | (51) all_22_2 = e20 & all_22_12 = e23 & ~ (all_22_0 = e22) & % 61.27/9.71 | | | | | | | | ~ (all_22_15 = e23) % 61.27/9.71 | | | | | | | | % 61.27/9.71 | | | | | | | | ALPHA: (51) implies: % 61.27/9.71 | | | | | | | | (52) all_22_12 = e23 % 61.27/9.71 | | | | | | | | % 61.27/9.71 | | | | | | | | REF_CLOSE: (4), (22), (52) are inconsistent by sub-proof #117. % 61.27/9.71 | | | | | | | | % 61.27/9.71 | | | | | | | Case 2: % 61.27/9.71 | | | | | | | | % 61.27/9.71 | | | | | | | | (53) all_22_2 = e20 & all_22_14 = e23 & ~ (all_22_1 = e21) & % 61.27/9.71 | | | | | | | | ~ (all_22_15 = e23) % 61.27/9.71 | | | | | | | | % 61.27/9.71 | | | | | | | | ALPHA: (53) implies: % 61.27/9.71 | | | | | | | | (54) all_22_14 = e23 % 61.27/9.71 | | | | | | | | % 61.27/9.71 | | | | | | | | REF_CLOSE: (21), (35), (54) are inconsistent by sub-proof #119. % 61.27/9.71 | | | | | | | | % 61.27/9.71 | | | | | | | End of split % 61.27/9.71 | | | | | | | % 61.27/9.71 | | | | | | End of split % 61.27/9.71 | | | | | | % 61.27/9.71 | | | | | End of split % 61.27/9.71 | | | | | % 61.27/9.71 | | | | Case 2: % 61.27/9.71 | | | | | % 61.27/9.71 | | | | | (55) (all_22_3 = e23 & all_22_14 = e22 & ~ (all_22_4 = e21) & ~ % 61.27/9.71 | | | | | (all_22_10 = e22)) | (all_22_3 = e23 & all_22_15 = e22 & ~ % 61.27/9.71 | | | | | (all_22_5 = e20) & ~ (all_22_10 = e22)) | (all_22_4 = e21 & % 61.27/9.71 | | | | | all_22_10 = e22 & ~ (all_22_3 = e23) & ~ (all_22_14 = % 61.27/9.71 | | | | | e22)) | (all_22_4 = e21 & all_22_15 = e22 & ~ (all_22_5 = % 61.27/9.71 | | | | | e20) & ~ (all_22_14 = e22)) | (all_22_5 = e20 & all_22_10 % 61.27/9.71 | | | | | = e22 & ~ (all_22_3 = e23) & ~ (all_22_15 = e22)) | % 61.27/9.71 | | | | | (all_22_5 = e20 & all_22_14 = e22 & ~ (all_22_4 = e21) & ~ % 61.27/9.71 | | | | | (all_22_15 = e22)) % 61.27/9.71 | | | | | % 61.27/9.71 | | | | | BETA: splitting (55) gives: % 61.27/9.71 | | | | | % 61.27/9.71 | | | | | Case 1: % 61.27/9.71 | | | | | | % 61.27/9.71 | | | | | | (56) (all_22_3 = e23 & all_22_14 = e22 & ~ (all_22_4 = e21) & ~ % 61.27/9.71 | | | | | | (all_22_10 = e22)) | (all_22_3 = e23 & all_22_15 = e22 & % 61.27/9.71 | | | | | | ~ (all_22_5 = e20) & ~ (all_22_10 = e22)) | (all_22_4 = % 61.27/9.71 | | | | | | e21 & all_22_10 = e22 & ~ (all_22_3 = e23) & ~ % 61.27/9.71 | | | | | | (all_22_14 = e22)) % 61.27/9.71 | | | | | | % 61.27/9.71 | | | | | | BETA: splitting (56) gives: % 61.27/9.71 | | | | | | % 61.27/9.71 | | | | | | Case 1: % 61.27/9.71 | | | | | | | % 61.27/9.71 | | | | | | | (57) all_22_3 = e23 & all_22_14 = e22 & ~ (all_22_4 = e21) & % 61.27/9.71 | | | | | | | ~ (all_22_10 = e22) % 61.27/9.71 | | | | | | | % 61.27/9.71 | | | | | | | ALPHA: (57) implies: % 61.27/9.71 | | | | | | | (58) all_22_3 = e23 % 61.27/9.71 | | | | | | | % 61.27/9.71 | | | | | | | REF_CLOSE: (3), (4), (18), (26), (30), (31), (58) are inconsistent % 61.27/9.71 | | | | | | | by sub-proof #115. % 61.27/9.71 | | | | | | | % 61.27/9.71 | | | | | | Case 2: % 61.27/9.71 | | | | | | | % 61.27/9.71 | | | | | | | (59) (all_22_3 = e23 & all_22_15 = e22 & ~ (all_22_5 = e20) & % 61.27/9.71 | | | | | | | ~ (all_22_10 = e22)) | (all_22_4 = e21 & all_22_10 = e22 % 61.27/9.71 | | | | | | | & ~ (all_22_3 = e23) & ~ (all_22_14 = e22)) % 61.27/9.71 | | | | | | | % 61.27/9.71 | | | | | | | BETA: splitting (59) gives: % 61.27/9.71 | | | | | | | % 61.27/9.71 | | | | | | | Case 1: % 61.27/9.71 | | | | | | | | % 61.27/9.71 | | | | | | | | (60) all_22_3 = e23 & all_22_15 = e22 & ~ (all_22_5 = e20) & % 61.27/9.71 | | | | | | | | ~ (all_22_10 = e22) % 61.27/9.71 | | | | | | | | % 61.27/9.71 | | | | | | | | ALPHA: (60) implies: % 61.27/9.71 | | | | | | | | (61) all_22_3 = e23 % 61.27/9.71 | | | | | | | | % 61.27/9.71 | | | | | | | | REF_CLOSE: (3), (4), (18), (26), (30), (31), (61) are % 61.27/9.71 | | | | | | | | inconsistent by sub-proof #115. % 61.27/9.71 | | | | | | | | % 61.27/9.71 | | | | | | | Case 2: % 61.27/9.71 | | | | | | | | % 61.27/9.71 | | | | | | | | (62) all_22_4 = e21 & all_22_10 = e22 & ~ (all_22_3 = e23) & % 61.27/9.71 | | | | | | | | ~ (all_22_14 = e22) % 61.27/9.71 | | | | | | | | % 61.27/9.71 | | | | | | | | ALPHA: (62) implies: % 61.27/9.71 | | | | | | | | (63) all_22_10 = e22 % 61.27/9.71 | | | | | | | | % 61.27/9.71 | | | | | | | | COMBINE_EQS: (14), (63) imply: % 61.27/9.71 | | | | | | | | (64) e22 = e21 % 61.27/9.71 | | | | | | | | % 61.27/9.71 | | | | | | | | SIMP: (64) implies: % 61.27/9.71 | | | | | | | | (65) e22 = e21 % 61.27/9.71 | | | | | | | | % 61.27/9.71 | | | | | | | | REDUCE: (20), (65) imply: % 61.27/9.71 | | | | | | | | (66) $false % 61.27/9.71 | | | | | | | | % 61.27/9.71 | | | | | | | | CLOSE: (66) is inconsistent. % 61.27/9.71 | | | | | | | | % 61.27/9.71 | | | | | | | End of split % 61.27/9.71 | | | | | | | % 61.27/9.71 | | | | | | End of split % 61.27/9.71 | | | | | | % 61.27/9.71 | | | | | Case 2: % 61.27/9.71 | | | | | | % 61.27/9.71 | | | | | | (67) (all_22_4 = e21 & all_22_15 = e22 & ~ (all_22_5 = e20) & ~ % 61.27/9.71 | | | | | | (all_22_14 = e22)) | (all_22_5 = e20 & all_22_10 = e22 & % 61.27/9.71 | | | | | | ~ (all_22_3 = e23) & ~ (all_22_15 = e22)) | (all_22_5 = % 61.27/9.71 | | | | | | e20 & all_22_14 = e22 & ~ (all_22_4 = e21) & ~ % 61.27/9.71 | | | | | | (all_22_15 = e22)) % 61.27/9.71 | | | | | | % 61.27/9.71 | | | | | | BETA: splitting (67) gives: % 61.27/9.71 | | | | | | % 61.27/9.71 | | | | | | Case 1: % 61.27/9.71 | | | | | | | % 61.27/9.71 | | | | | | | (68) all_22_4 = e21 & all_22_15 = e22 & ~ (all_22_5 = e20) & % 61.27/9.71 | | | | | | | ~ (all_22_14 = e22) % 61.27/9.71 | | | | | | | % 61.27/9.71 | | | | | | | REF_CLOSE: (11), (20), (68) are inconsistent by sub-proof #156. % 61.27/9.71 | | | | | | | % 61.27/9.71 | | | | | | Case 2: % 61.27/9.71 | | | | | | | % 61.27/9.71 | | | | | | | (69) (all_22_5 = e20 & all_22_10 = e22 & ~ (all_22_3 = e23) & % 61.27/9.71 | | | | | | | ~ (all_22_15 = e22)) | (all_22_5 = e20 & all_22_14 = e22 % 61.27/9.71 | | | | | | | & ~ (all_22_4 = e21) & ~ (all_22_15 = e22)) % 61.27/9.71 | | | | | | | % 61.27/9.71 | | | | | | | BETA: splitting (69) gives: % 61.27/9.71 | | | | | | | % 61.27/9.71 | | | | | | | Case 1: % 61.27/9.71 | | | | | | | | % 61.27/9.71 | | | | | | | | (70) all_22_5 = e20 & all_22_10 = e22 & ~ (all_22_3 = e23) & % 61.27/9.71 | | | | | | | | ~ (all_22_15 = e22) % 61.27/9.71 | | | | | | | | % 61.27/9.71 | | | | | | | | ALPHA: (70) implies: % 61.27/9.71 | | | | | | | | (71) all_22_5 = e20 % 61.27/9.71 | | | | | | | | % 61.27/9.71 | | | | | | | | REF_CLOSE: (3), (4), (7), (26), (30), (31), (71) are % 61.27/9.71 | | | | | | | | inconsistent by sub-proof #114. % 61.27/9.71 | | | | | | | | % 61.27/9.71 | | | | | | | Case 2: % 61.27/9.71 | | | | | | | | % 61.27/9.71 | | | | | | | | (72) all_22_5 = e20 & all_22_14 = e22 & ~ (all_22_4 = e21) & % 61.27/9.71 | | | | | | | | ~ (all_22_15 = e22) % 61.27/9.71 | | | | | | | | % 61.27/9.71 | | | | | | | | ALPHA: (72) implies: % 61.27/9.71 | | | | | | | | (73) all_22_5 = e20 % 61.27/9.71 | | | | | | | | % 61.27/9.71 | | | | | | | | REF_CLOSE: (3), (4), (7), (26), (30), (31), (73) are % 61.27/9.71 | | | | | | | | inconsistent by sub-proof #114. % 61.27/9.71 | | | | | | | | % 61.27/9.71 | | | | | | | End of split % 61.27/9.71 | | | | | | | % 61.27/9.71 | | | | | | End of split % 61.27/9.71 | | | | | | % 61.27/9.71 | | | | | End of split % 61.27/9.71 | | | | | % 61.27/9.71 | | | | End of split % 61.27/9.71 | | | | % 61.27/9.71 | | | Case 2: % 61.27/9.71 | | | | % 61.27/9.71 | | | | (74) (all_22_6 = e23 & all_22_12 = e21 & ~ (all_22_7 = e22) & ~ % 61.27/9.71 | | | | (all_22_10 = e21)) | (all_22_6 = e23 & all_22_15 = e21 & ~ % 61.27/9.71 | | | | (all_22_8 = e20) & ~ (all_22_10 = e21)) | (all_22_7 = e22 & % 61.27/9.71 | | | | all_22_10 = e21 & ~ (all_22_6 = e23) & ~ (all_22_12 = e21)) % 61.27/9.71 | | | | | (all_22_7 = e22 & all_22_15 = e21 & ~ (all_22_8 = e20) & ~ % 61.27/9.71 | | | | (all_22_12 = e21)) | (all_22_8 = e20 & all_22_10 = e21 & ~ % 61.27/9.71 | | | | (all_22_6 = e23) & ~ (all_22_15 = e21)) | (all_22_8 = e20 & % 61.27/9.71 | | | | all_22_12 = e21 & ~ (all_22_7 = e22) & ~ (all_22_15 = e21)) % 61.27/9.71 | | | | | (all_22_9 = e23 & all_22_12 = e20 & ~ (all_22_10 = e20) & ~ % 61.27/9.71 | | | | (all_22_11 = e22)) | (all_22_9 = e23 & all_22_14 = e20 & ~ % 61.27/9.71 | | | | (all_22_10 = e20) & ~ (all_22_13 = e21)) | (all_22_10 = e20 & % 61.27/9.71 | | | | all_22_11 = e22 & ~ (all_22_9 = e23) & ~ (all_22_12 = e20)) % 61.27/9.71 | | | | | (all_22_10 = e20 & all_22_13 = e21 & ~ (all_22_9 = e23) & ~ % 61.27/9.71 | | | | (all_22_14 = e20)) | (all_22_11 = e22 & all_22_14 = e20 & ~ % 61.27/9.71 | | | | (all_22_12 = e20) & ~ (all_22_13 = e21)) | (all_22_12 = e20 & % 61.27/9.71 | | | | all_22_13 = e21 & ~ (all_22_11 = e22) & ~ (all_22_14 = e20)) % 61.27/9.71 | | | | % 61.27/9.71 | | | | BETA: splitting (74) gives: % 61.27/9.71 | | | | % 61.27/9.71 | | | | Case 1: % 61.27/9.71 | | | | | % 61.27/9.71 | | | | | (75) (all_22_6 = e23 & all_22_12 = e21 & ~ (all_22_7 = e22) & ~ % 61.27/9.71 | | | | | (all_22_10 = e21)) | (all_22_6 = e23 & all_22_15 = e21 & ~ % 61.27/9.71 | | | | | (all_22_8 = e20) & ~ (all_22_10 = e21)) | (all_22_7 = e22 & % 61.27/9.71 | | | | | all_22_10 = e21 & ~ (all_22_6 = e23) & ~ (all_22_12 = % 61.27/9.71 | | | | | e21)) | (all_22_7 = e22 & all_22_15 = e21 & ~ (all_22_8 = % 61.27/9.71 | | | | | e20) & ~ (all_22_12 = e21)) | (all_22_8 = e20 & all_22_10 % 61.27/9.71 | | | | | = e21 & ~ (all_22_6 = e23) & ~ (all_22_15 = e21)) | % 61.27/9.71 | | | | | (all_22_8 = e20 & all_22_12 = e21 & ~ (all_22_7 = e22) & ~ % 61.27/9.71 | | | | | (all_22_15 = e21)) % 61.27/9.71 | | | | | % 61.27/9.71 | | | | | BETA: splitting (75) gives: % 61.27/9.71 | | | | | % 61.27/9.71 | | | | | Case 1: % 61.27/9.71 | | | | | | % 61.27/9.71 | | | | | | (76) (all_22_6 = e23 & all_22_12 = e21 & ~ (all_22_7 = e22) & ~ % 61.27/9.71 | | | | | | (all_22_10 = e21)) | (all_22_6 = e23 & all_22_15 = e21 & % 61.27/9.71 | | | | | | ~ (all_22_8 = e20) & ~ (all_22_10 = e21)) | (all_22_7 = % 61.27/9.71 | | | | | | e22 & all_22_10 = e21 & ~ (all_22_6 = e23) & ~ % 61.27/9.71 | | | | | | (all_22_12 = e21)) % 61.27/9.71 | | | | | | % 61.27/9.71 | | | | | | BETA: splitting (76) gives: % 61.27/9.71 | | | | | | % 61.27/9.71 | | | | | | Case 1: % 61.27/9.71 | | | | | | | % 61.27/9.71 | | | | | | | (77) all_22_6 = e23 & all_22_12 = e21 & ~ (all_22_7 = e22) & % 61.27/9.71 | | | | | | | ~ (all_22_10 = e21) % 61.27/9.71 | | | | | | | % 61.27/9.71 | | | | | | | REF_CLOSE: (20), (22), (77) are inconsistent by sub-proof #113. % 61.27/9.71 | | | | | | | % 61.27/9.71 | | | | | | Case 2: % 61.27/9.71 | | | | | | | % 61.27/9.71 | | | | | | | (78) (all_22_6 = e23 & all_22_15 = e21 & ~ (all_22_8 = e20) & % 61.27/9.71 | | | | | | | ~ (all_22_10 = e21)) | (all_22_7 = e22 & all_22_10 = e21 % 61.27/9.71 | | | | | | | & ~ (all_22_6 = e23) & ~ (all_22_12 = e21)) % 61.27/9.71 | | | | | | | % 61.27/9.71 | | | | | | | BETA: splitting (78) gives: % 61.27/9.71 | | | | | | | % 61.27/9.71 | | | | | | | Case 1: % 61.27/9.71 | | | | | | | | % 61.27/9.71 | | | | | | | | (79) all_22_6 = e23 & all_22_15 = e21 & ~ (all_22_8 = e20) & % 61.27/9.71 | | | | | | | | ~ (all_22_10 = e21) % 61.27/9.71 | | | | | | | | % 61.27/9.71 | | | | | | | | ALPHA: (79) implies: % 61.27/9.71 | | | | | | | | (80) ~ (all_22_10 = e21) % 61.27/9.71 | | | | | | | | % 61.27/9.71 | | | | | | | | REDUCE: (14), (80) imply: % 61.27/9.71 | | | | | | | | (81) $false % 61.27/9.71 | | | | | | | | % 61.27/9.71 | | | | | | | | CLOSE: (81) is inconsistent. % 61.27/9.71 | | | | | | | | % 61.27/9.71 | | | | | | | Case 2: % 61.27/9.71 | | | | | | | | % 61.27/9.71 | | | | | | | | (82) all_22_7 = e22 & all_22_10 = e21 & ~ (all_22_6 = e23) & % 61.27/9.71 | | | | | | | | ~ (all_22_12 = e21) % 61.27/9.71 | | | | | | | | % 61.27/9.71 | | | | | | | | ALPHA: (82) implies: % 61.27/9.71 | | | | | | | | (83) all_22_7 = e22 % 61.27/9.71 | | | | | | | | % 61.27/9.71 | | | | | | | | REF_CLOSE: (5), (17), (83) are inconsistent by sub-proof #152. % 61.27/9.71 | | | | | | | | % 61.27/9.71 | | | | | | | End of split % 61.27/9.71 | | | | | | | % 61.27/9.71 | | | | | | End of split % 61.27/9.71 | | | | | | % 61.27/9.71 | | | | | Case 2: % 61.27/9.71 | | | | | | % 61.27/9.71 | | | | | | (84) (all_22_7 = e22 & all_22_15 = e21 & ~ (all_22_8 = e20) & ~ % 61.27/9.71 | | | | | | (all_22_12 = e21)) | (all_22_8 = e20 & all_22_10 = e21 & % 61.27/9.71 | | | | | | ~ (all_22_6 = e23) & ~ (all_22_15 = e21)) | (all_22_8 = % 61.27/9.71 | | | | | | e20 & all_22_12 = e21 & ~ (all_22_7 = e22) & ~ % 61.27/9.71 | | | | | | (all_22_15 = e21)) % 61.27/9.71 | | | | | | % 61.27/9.71 | | | | | | BETA: splitting (84) gives: % 61.27/9.71 | | | | | | % 61.27/9.71 | | | | | | Case 1: % 61.27/9.71 | | | | | | | % 61.27/9.71 | | | | | | | (85) all_22_7 = e22 & all_22_15 = e21 & ~ (all_22_8 = e20) & % 61.27/9.71 | | | | | | | ~ (all_22_12 = e21) % 61.27/9.71 | | | | | | | % 61.27/9.71 | | | | | | | ALPHA: (85) implies: % 61.27/9.71 | | | | | | | (86) all_22_7 = e22 % 61.27/9.71 | | | | | | | % 61.27/9.71 | | | | | | | REF_CLOSE: (5), (17), (86) are inconsistent by sub-proof #152. % 61.27/9.71 | | | | | | | % 61.27/9.71 | | | | | | Case 2: % 61.27/9.71 | | | | | | | % 61.27/9.71 | | | | | | | (87) (all_22_8 = e20 & all_22_10 = e21 & ~ (all_22_6 = e23) & % 61.27/9.71 | | | | | | | ~ (all_22_15 = e21)) | (all_22_8 = e20 & all_22_12 = e21 % 61.27/9.71 | | | | | | | & ~ (all_22_7 = e22) & ~ (all_22_15 = e21)) % 61.27/9.71 | | | | | | | % 61.27/9.71 | | | | | | | BETA: splitting (87) gives: % 61.27/9.71 | | | | | | | % 61.27/9.71 | | | | | | | Case 1: % 61.27/9.71 | | | | | | | | % 61.27/9.71 | | | | | | | | (88) all_22_8 = e20 & all_22_10 = e21 & ~ (all_22_6 = e23) & % 61.27/9.71 | | | | | | | | ~ (all_22_15 = e21) % 61.27/9.71 | | | | | | | | % 61.27/9.71 | | | | | | | | ALPHA: (88) implies: % 61.27/9.71 | | | | | | | | (89) all_22_8 = e20 % 61.27/9.71 | | | | | | | | % 61.27/9.71 | | | | | | | | REF_CLOSE: (17), (24), (89) are inconsistent by sub-proof #135. % 61.27/9.71 | | | | | | | | % 61.27/9.71 | | | | | | | Case 2: % 61.27/9.71 | | | | | | | | % 61.27/9.71 | | | | | | | | (90) all_22_8 = e20 & all_22_12 = e21 & ~ (all_22_7 = e22) & % 61.27/9.71 | | | | | | | | ~ (all_22_15 = e21) % 61.27/9.71 | | | | | | | | % 61.27/9.71 | | | | | | | | ALPHA: (90) implies: % 61.27/9.71 | | | | | | | | (91) all_22_12 = e21 % 61.27/9.71 | | | | | | | | (92) all_22_8 = e20 % 61.27/9.71 | | | | | | | | % 61.27/9.71 | | | | | | | | COMBINE_EQS: (24), (92) imply: % 61.27/9.71 | | | | | | | | (93) e22 = e20 % 61.27/9.71 | | | | | | | | % 61.27/9.71 | | | | | | | | SIMP: (93) implies: % 61.27/9.71 | | | | | | | | (94) e22 = e20 % 61.27/9.71 | | | | | | | | % 61.27/9.71 | | | | | | | | COMBINE_EQS: (22), (91) imply: % 61.27/9.71 | | | | | | | | (95) e22 = e21 % 61.27/9.71 | | | | | | | | % 61.27/9.71 | | | | | | | | REF_CLOSE: (2), (94), (95) are inconsistent by sub-proof #134. % 61.27/9.71 | | | | | | | | % 61.27/9.71 | | | | | | | End of split % 61.27/9.71 | | | | | | | % 61.27/9.71 | | | | | | End of split % 61.27/9.71 | | | | | | % 61.27/9.71 | | | | | End of split % 61.27/9.71 | | | | | % 61.27/9.71 | | | | Case 2: % 61.27/9.71 | | | | | % 61.27/9.71 | | | | | (96) (all_22_9 = e23 & all_22_12 = e20 & ~ (all_22_10 = e20) & ~ % 61.27/9.71 | | | | | (all_22_11 = e22)) | (all_22_9 = e23 & all_22_14 = e20 & ~ % 61.27/9.71 | | | | | (all_22_10 = e20) & ~ (all_22_13 = e21)) | (all_22_10 = e20 % 61.27/9.71 | | | | | & all_22_11 = e22 & ~ (all_22_9 = e23) & ~ (all_22_12 = % 61.27/9.71 | | | | | e20)) | (all_22_10 = e20 & all_22_13 = e21 & ~ (all_22_9 % 61.27/9.71 | | | | | = e23) & ~ (all_22_14 = e20)) | (all_22_11 = e22 & % 61.27/9.71 | | | | | all_22_14 = e20 & ~ (all_22_12 = e20) & ~ (all_22_13 = % 61.27/9.71 | | | | | e21)) | (all_22_12 = e20 & all_22_13 = e21 & ~ (all_22_11 % 61.27/9.71 | | | | | = e22) & ~ (all_22_14 = e20)) % 61.27/9.71 | | | | | % 61.27/9.71 | | | | | BETA: splitting (96) gives: % 61.27/9.71 | | | | | % 61.27/9.71 | | | | | Case 1: % 61.27/9.71 | | | | | | % 61.27/9.71 | | | | | | (97) (all_22_9 = e23 & all_22_12 = e20 & ~ (all_22_10 = e20) & % 61.27/9.71 | | | | | | ~ (all_22_11 = e22)) | (all_22_9 = e23 & all_22_14 = e20 & % 61.27/9.71 | | | | | | ~ (all_22_10 = e20) & ~ (all_22_13 = e21)) | (all_22_10 % 61.27/9.71 | | | | | | = e20 & all_22_11 = e22 & ~ (all_22_9 = e23) & ~ % 61.27/9.71 | | | | | | (all_22_12 = e20)) % 61.27/9.71 | | | | | | % 61.27/9.71 | | | | | | BETA: splitting (97) gives: % 61.27/9.71 | | | | | | % 61.27/9.71 | | | | | | Case 1: % 61.27/9.71 | | | | | | | % 61.27/9.71 | | | | | | | (98) all_22_9 = e23 & all_22_12 = e20 & ~ (all_22_10 = e20) & % 61.27/9.71 | | | | | | | ~ (all_22_11 = e22) % 61.27/9.71 | | | | | | | % 61.27/9.71 | | | | | | | ALPHA: (98) implies: % 61.27/9.71 | | | | | | | (99) all_22_12 = e20 % 61.27/9.71 | | | | | | | (100) all_22_9 = e23 % 61.27/9.71 | | | | | | | % 61.27/9.71 | | | | | | | COMBINE_EQS: (23), (100) imply: % 61.27/9.71 | | | | | | | (101) e23 = e22 % 61.27/9.71 | | | | | | | % 61.27/9.71 | | | | | | | COMBINE_EQS: (22), (99) imply: % 61.27/9.71 | | | | | | | (102) e22 = e20 % 61.27/9.71 | | | | | | | % 61.27/9.71 | | | | | | | SIMP: (102) implies: % 61.27/9.71 | | | | | | | (103) e22 = e20 % 61.27/9.71 | | | | | | | % 61.27/9.71 | | | | | | | COMBINE_EQS: (101), (103) imply: % 61.27/9.71 | | | | | | | (104) e23 = e20 % 61.27/9.71 | | | | | | | % 61.27/9.71 | | | | | | | COMBINE_EQS: (31), (104) imply: % 61.27/9.71 | | | | | | | (105) all_26_4 = e20 % 61.27/9.71 | | | | | | | % 61.27/9.71 | | | | | | | REF_CLOSE: (3), (4), (26), (30), (105) are inconsistent by % 61.27/9.71 | | | | | | | sub-proof #116. % 61.27/9.71 | | | | | | | % 61.27/9.71 | | | | | | Case 2: % 61.27/9.71 | | | | | | | % 61.27/9.71 | | | | | | | (106) (all_22_9 = e23 & all_22_14 = e20 & ~ (all_22_10 = e20) % 61.27/9.71 | | | | | | | & ~ (all_22_13 = e21)) | (all_22_10 = e20 & all_22_11 % 61.27/9.71 | | | | | | | = e22 & ~ (all_22_9 = e23) & ~ (all_22_12 = e20)) % 61.27/9.71 | | | | | | | % 61.27/9.71 | | | | | | | BETA: splitting (106) gives: % 61.27/9.71 | | | | | | | % 61.27/9.71 | | | | | | | Case 1: % 61.27/9.71 | | | | | | | | % 61.27/9.71 | | | | | | | | (107) all_22_9 = e23 & all_22_14 = e20 & ~ (all_22_10 = e20) % 61.27/9.71 | | | | | | | | & ~ (all_22_13 = e21) % 61.27/9.71 | | | | | | | | % 61.27/9.71 | | | | | | | | REF_CLOSE: (4), (23), (107) are inconsistent by sub-proof #131. % 61.27/9.71 | | | | | | | | % 61.27/9.71 | | | | | | | Case 2: % 61.27/9.71 | | | | | | | | % 61.27/9.71 | | | | | | | | (108) all_22_10 = e20 & all_22_11 = e22 & ~ (all_22_9 = e23) % 61.27/9.71 | | | | | | | | & ~ (all_22_12 = e20) % 61.27/9.71 | | | | | | | | % 61.27/9.71 | | | | | | | | ALPHA: (108) implies: % 61.27/9.71 | | | | | | | | (109) all_22_10 = e20 % 61.27/9.71 | | | | | | | | % 61.27/9.71 | | | | | | | | COMBINE_EQS: (14), (109) imply: % 61.27/9.71 | | | | | | | | (110) e21 = e20 % 61.27/9.71 | | | | | | | | % 61.27/9.71 | | | | | | | | SIMP: (110) implies: % 61.27/9.71 | | | | | | | | (111) e21 = e20 % 61.27/9.71 | | | | | | | | % 61.27/9.71 | | | | | | | | REDUCE: (2), (111) imply: % 61.27/9.71 | | | | | | | | (112) $false % 61.27/9.71 | | | | | | | | % 61.27/9.71 | | | | | | | | CLOSE: (112) is inconsistent. % 61.27/9.71 | | | | | | | | % 61.27/9.71 | | | | | | | End of split % 61.27/9.71 | | | | | | | % 61.27/9.71 | | | | | | End of split % 61.27/9.71 | | | | | | % 61.27/9.71 | | | | | Case 2: % 61.27/9.71 | | | | | | % 61.27/9.71 | | | | | | (113) (all_22_10 = e20 & all_22_13 = e21 & ~ (all_22_9 = e23) & % 61.27/9.71 | | | | | | ~ (all_22_14 = e20)) | (all_22_11 = e22 & all_22_14 = e20 % 61.27/9.71 | | | | | | & ~ (all_22_12 = e20) & ~ (all_22_13 = e21)) | % 61.27/9.71 | | | | | | (all_22_12 = e20 & all_22_13 = e21 & ~ (all_22_11 = e22) & % 61.27/9.71 | | | | | | ~ (all_22_14 = e20)) % 61.27/9.71 | | | | | | % 61.27/9.71 | | | | | | BETA: splitting (113) gives: % 61.27/9.71 | | | | | | % 61.27/9.71 | | | | | | Case 1: % 61.27/9.71 | | | | | | | % 61.27/9.71 | | | | | | | (114) all_22_10 = e20 & all_22_13 = e21 & ~ (all_22_9 = e23) & % 61.27/9.71 | | | | | | | ~ (all_22_14 = e20) % 61.27/9.71 | | | | | | | % 61.27/9.71 | | | | | | | REF_CLOSE: (2), (19), (114) are inconsistent by sub-proof #129. % 61.27/9.71 | | | | | | | % 61.27/9.71 | | | | | | Case 2: % 61.27/9.71 | | | | | | | % 61.27/9.71 | | | | | | | (115) (all_22_11 = e22 & all_22_14 = e20 & ~ (all_22_12 = e20) % 61.27/9.71 | | | | | | | & ~ (all_22_13 = e21)) | (all_22_12 = e20 & all_22_13 % 61.27/9.71 | | | | | | | = e21 & ~ (all_22_11 = e22) & ~ (all_22_14 = e20)) % 61.27/9.71 | | | | | | | % 61.27/9.71 | | | | | | | REF_CLOSE: (2), (4), (16), (19), (115) are inconsistent by % 61.27/9.71 | | | | | | | sub-proof #111. % 61.27/9.71 | | | | | | | % 61.27/9.71 | | | | | | End of split % 61.27/9.71 | | | | | | % 61.27/9.71 | | | | | End of split % 61.27/9.71 | | | | | % 61.27/9.71 | | | | End of split % 61.27/9.71 | | | | % 61.27/9.71 | | | End of split % 61.27/9.71 | | | % 61.27/9.71 | | Case 2: % 61.27/9.71 | | | % 61.27/9.71 | | | (116) all_26_9 = e23 % 61.27/9.71 | | | % 61.27/9.71 | | | COMBINE_EQS: (3), (116) imply: % 61.27/9.71 | | | (117) e23 = e22 % 61.27/9.71 | | | % 61.27/9.71 | | | REDUCE: (4), (117) imply: % 61.27/9.71 | | | (118) $false % 61.27/9.71 | | | % 61.27/9.71 | | | CLOSE: (118) is inconsistent. % 61.27/9.71 | | | % 61.27/9.71 | | End of split % 61.27/9.71 | | % 61.27/9.71 | End of split % 61.27/9.71 | % 61.27/9.71 End of proof % 61.27/9.71 % 61.27/9.71 Sub-proof #111 shows that the following formulas are inconsistent: % 61.27/9.71 ---------------------------------------------------------------- % 61.27/9.71 (1) ~ (e21 = e20) % 61.27/9.71 (2) (all_22_11 = e22 & all_22_14 = e20 & ~ (all_22_12 = e20) & ~ (all_22_13 % 61.27/9.71 = e21)) | (all_22_12 = e20 & all_22_13 = e21 & ~ (all_22_11 = e22) & % 61.27/9.71 ~ (all_22_14 = e20)) % 61.27/9.71 (3) ~ (e23 = e22) % 61.27/9.71 (4) all_22_11 = e23 % 61.27/9.71 (5) all_22_13 = e20 % 61.27/9.71 % 61.27/9.71 Begin of proof % 61.27/9.71 | % 61.27/9.71 | BETA: splitting (2) gives: % 61.27/9.71 | % 61.27/9.71 | Case 1: % 61.27/9.71 | | % 61.27/9.71 | | (6) all_22_11 = e22 & all_22_14 = e20 & ~ (all_22_12 = e20) & ~ % 61.27/9.71 | | (all_22_13 = e21) % 61.27/9.71 | | % 61.27/9.71 | | REF_CLOSE: (3), (4), (6) are inconsistent by sub-proof #112. % 61.27/9.71 | | % 61.27/9.71 | Case 2: % 61.27/9.71 | | % 61.27/9.71 | | (7) all_22_12 = e20 & all_22_13 = e21 & ~ (all_22_11 = e22) & ~ % 61.27/9.71 | | (all_22_14 = e20) % 61.27/9.71 | | % 61.27/9.71 | | ALPHA: (7) implies: % 61.27/9.71 | | (8) all_22_13 = e21 % 61.27/9.71 | | % 61.27/9.71 | | REF_CLOSE: (1), (5), (8) are inconsistent by sub-proof #146. % 61.27/9.71 | | % 61.27/9.71 | End of split % 61.27/9.71 | % 61.27/9.71 End of proof % 61.27/9.71 % 61.27/9.71 Sub-proof #112 shows that the following formulas are inconsistent: % 61.27/9.71 ---------------------------------------------------------------- % 61.27/9.71 (1) all_22_11 = e22 & all_22_14 = e20 & ~ (all_22_12 = e20) & ~ (all_22_13 % 61.27/9.71 = e21) % 61.27/9.71 (2) all_22_11 = e23 % 61.27/9.71 (3) ~ (e23 = e22) % 61.27/9.71 % 61.27/9.71 Begin of proof % 61.27/9.71 | % 61.27/9.71 | ALPHA: (1) implies: % 61.27/9.71 | (4) all_22_11 = e22 % 61.27/9.71 | % 61.27/9.71 | COMBINE_EQS: (2), (4) imply: % 61.27/9.71 | (5) e23 = e22 % 61.27/9.71 | % 61.27/9.71 | REDUCE: (3), (5) imply: % 61.27/9.71 | (6) $false % 61.27/9.71 | % 61.27/9.71 | CLOSE: (6) is inconsistent. % 61.27/9.71 | % 61.27/9.71 End of proof % 61.27/9.71 % 61.27/9.71 Sub-proof #113 shows that the following formulas are inconsistent: % 61.27/9.71 ---------------------------------------------------------------- % 61.27/9.71 (1) all_22_6 = e23 & all_22_12 = e21 & ~ (all_22_7 = e22) & ~ (all_22_10 = % 61.27/9.71 e21) % 61.27/9.71 (2) all_22_12 = e22 % 61.27/9.71 (3) ~ (e22 = e21) % 61.27/9.71 % 61.27/9.71 Begin of proof % 61.27/9.71 | % 61.27/9.71 | ALPHA: (1) implies: % 61.27/9.71 | (4) all_22_12 = e21 % 61.27/9.71 | % 61.27/9.71 | COMBINE_EQS: (2), (4) imply: % 61.27/9.71 | (5) e22 = e21 % 61.27/9.71 | % 61.27/9.71 | REDUCE: (3), (5) imply: % 61.27/9.71 | (6) $false % 61.27/9.71 | % 61.27/9.71 | CLOSE: (6) is inconsistent. % 61.27/9.71 | % 61.27/9.71 End of proof % 61.27/9.71 % 61.27/9.71 Sub-proof #114 shows that the following formulas are inconsistent: % 61.27/9.71 ---------------------------------------------------------------- % 61.27/9.71 (1) all_26_9 = e22 % 61.27/9.71 (2) ~ (e23 = e22) % 61.27/9.71 (3) all_22_5 = e23 % 61.27/9.71 (4) all_26_4 = e23 % 61.27/9.71 (5) all_22_5 = e20 % 61.27/9.71 (6) ~ (e23 = e20) % 61.27/9.71 (7) all_26_4 = e23 | all_26_9 = e23 % 61.27/9.71 % 61.27/9.71 Begin of proof % 61.27/9.71 | % 61.27/9.71 | COMBINE_EQS: (3), (5) imply: % 61.27/9.71 | (8) e23 = e20 % 61.27/9.71 | % 61.27/9.71 | SIMP: (8) implies: % 61.27/9.71 | (9) e23 = e20 % 61.27/9.71 | % 61.27/9.71 | COMBINE_EQS: (4), (9) imply: % 61.27/9.71 | (10) all_26_4 = e20 % 61.27/9.71 | % 61.27/9.71 | REF_CLOSE: (1), (2), (6), (7), (10) are inconsistent by sub-proof #116. % 61.27/9.71 | % 61.27/9.71 End of proof % 61.27/9.71 % 61.27/9.71 Sub-proof #115 shows that the following formulas are inconsistent: % 61.27/9.71 ---------------------------------------------------------------- % 61.27/9.71 (1) all_26_9 = e22 % 61.27/9.71 (2) ~ (e23 = e22) % 61.27/9.71 (3) all_22_3 = e23 % 61.27/9.71 (4) all_22_3 = e20 % 61.27/9.71 (5) all_26_4 = e23 % 61.27/9.71 (6) ~ (e23 = e20) % 61.27/9.71 (7) all_26_4 = e23 | all_26_9 = e23 % 61.27/9.71 % 61.27/9.71 Begin of proof % 61.27/9.71 | % 61.27/9.71 | COMBINE_EQS: (3), (4) imply: % 61.27/9.71 | (8) e23 = e20 % 61.27/9.71 | % 61.27/9.71 | COMBINE_EQS: (5), (8) imply: % 61.27/9.71 | (9) all_26_4 = e20 % 61.27/9.71 | % 61.27/9.71 | REF_CLOSE: (1), (2), (6), (7), (9) are inconsistent by sub-proof #116. % 61.27/9.71 | % 61.27/9.71 End of proof % 61.27/9.71 % 61.27/9.71 Sub-proof #116 shows that the following formulas are inconsistent: % 61.27/9.71 ---------------------------------------------------------------- % 61.27/9.71 (1) all_26_9 = e22 % 61.27/9.71 (2) ~ (e23 = e22) % 61.27/9.71 (3) all_26_4 = e20 % 61.27/9.71 (4) ~ (e23 = e20) % 61.27/9.71 (5) all_26_4 = e23 | all_26_9 = e23 % 61.27/9.71 % 61.27/9.71 Begin of proof % 61.27/9.71 | % 61.27/9.71 | BETA: splitting (5) gives: % 61.27/9.71 | % 61.27/9.71 | Case 1: % 61.27/9.71 | | % 61.27/9.71 | | (6) all_26_4 = e23 % 61.27/9.71 | | % 61.27/9.71 | | COMBINE_EQS: (3), (6) imply: % 61.27/9.71 | | (7) e23 = e20 % 61.27/9.71 | | % 61.27/9.71 | | REDUCE: (4), (7) imply: % 61.27/9.71 | | (8) $false % 61.27/9.71 | | % 61.27/9.71 | | CLOSE: (8) is inconsistent. % 61.27/9.71 | | % 61.27/9.71 | Case 2: % 61.27/9.71 | | % 61.27/9.71 | | (9) all_26_9 = e23 % 61.27/9.71 | | % 61.27/9.71 | | COMBINE_EQS: (1), (9) imply: % 61.27/9.71 | | (10) e23 = e22 % 61.27/9.71 | | % 61.27/9.71 | | REDUCE: (2), (10) imply: % 61.27/9.71 | | (11) $false % 61.27/9.71 | | % 61.27/9.71 | | CLOSE: (11) is inconsistent. % 61.27/9.71 | | % 61.27/9.71 | End of split % 61.27/9.71 | % 61.27/9.71 End of proof % 61.27/9.71 % 61.27/9.71 Sub-proof #117 shows that the following formulas are inconsistent: % 61.27/9.71 ---------------------------------------------------------------- % 61.27/9.71 (1) all_22_12 = e23 % 61.27/9.71 (2) all_22_12 = e22 % 61.27/9.71 (3) ~ (e23 = e22) % 61.27/9.71 % 61.27/9.71 Begin of proof % 61.27/9.71 | % 61.27/9.71 | COMBINE_EQS: (1), (2) imply: % 61.27/9.71 | (4) e23 = e22 % 61.27/9.71 | % 61.27/9.71 | SIMP: (4) implies: % 61.27/9.71 | (5) e23 = e22 % 61.27/9.71 | % 61.27/9.71 | REDUCE: (3), (5) imply: % 61.27/9.71 | (6) $false % 61.27/9.71 | % 61.27/9.72 | CLOSE: (6) is inconsistent. % 61.27/9.72 | % 61.27/9.72 End of proof % 61.27/9.72 % 61.27/9.72 Sub-proof #118 shows that the following formulas are inconsistent: % 61.27/9.72 ---------------------------------------------------------------- % 61.27/9.72 (1) all_22_15 = e23 % 61.27/9.72 (2) all_22_15 = e21 % 61.27/9.72 (3) ~ (e23 = e21) % 61.27/9.72 % 61.27/9.72 Begin of proof % 61.27/9.72 | % 61.27/9.72 | COMBINE_EQS: (1), (2) imply: % 61.27/9.72 | (4) e23 = e21 % 61.27/9.72 | % 61.27/9.72 | SIMP: (4) implies: % 61.27/9.72 | (5) e23 = e21 % 61.27/9.72 | % 61.27/9.72 | REDUCE: (3), (5) imply: % 61.27/9.72 | (6) $false % 61.27/9.72 | % 61.27/9.72 | CLOSE: (6) is inconsistent. % 61.27/9.72 | % 61.27/9.72 End of proof % 61.27/9.72 % 61.27/9.72 Sub-proof #119 shows that the following formulas are inconsistent: % 61.27/9.72 ---------------------------------------------------------------- % 61.27/9.72 (1) all_22_14 = all_4_2 % 61.27/9.72 (2) all_22_14 = e23 % 61.27/9.72 (3) ~ (all_4_2 = e23) % 61.27/9.72 % 61.27/9.72 Begin of proof % 61.27/9.72 | % 61.27/9.72 | COMBINE_EQS: (1), (2) imply: % 61.27/9.72 | (4) all_4_2 = e23 % 61.27/9.72 | % 61.27/9.72 | SIMP: (4) implies: % 61.27/9.72 | (5) all_4_2 = e23 % 61.27/9.72 | % 61.27/9.72 | REDUCE: (3), (5) imply: % 61.27/9.72 | (6) $false % 61.27/9.72 | % 61.27/9.72 | CLOSE: (6) is inconsistent. % 61.27/9.72 | % 61.27/9.72 End of proof % 61.27/9.72 % 61.27/9.72 Sub-proof #120 shows that the following formulas are inconsistent: % 61.27/9.72 ---------------------------------------------------------------- % 61.27/9.72 (1) all_18_0 = all_8_2 % 61.27/9.72 (2) all_18_0 = e23 | all_18_0 = e22 | all_18_0 = e21 % 61.27/9.72 (3) ~ (all_8_2 = e22) % 61.27/9.72 (4) ~ (all_8_2 = e23) % 61.27/9.72 (5) ~ (all_8_2 = e21) % 61.27/9.72 % 61.27/9.72 Begin of proof % 61.27/9.72 | % 61.27/9.72 | BETA: splitting (2) gives: % 61.27/9.72 | % 61.27/9.72 | Case 1: % 61.27/9.72 | | % 61.27/9.72 | | (6) all_18_0 = e22 % 61.27/9.72 | | % 61.27/9.72 | | COMBINE_EQS: (1), (6) imply: % 61.27/9.72 | | (7) all_8_2 = e22 % 61.27/9.72 | | % 61.27/9.72 | | REDUCE: (3), (7) imply: % 61.27/9.72 | | (8) $false % 61.27/9.72 | | % 61.27/9.72 | | CLOSE: (8) is inconsistent. % 61.27/9.72 | | % 61.27/9.72 | Case 2: % 61.27/9.72 | | % 61.27/9.72 | | (9) all_18_0 = e23 | all_18_0 = e21 % 61.27/9.72 | | % 61.27/9.72 | | REF_CLOSE: (1), (4), (5), (9) are inconsistent by sub-proof #121. % 61.27/9.72 | | % 61.27/9.72 | End of split % 61.27/9.72 | % 61.27/9.72 End of proof % 61.27/9.72 % 61.27/9.72 Sub-proof #121 shows that the following formulas are inconsistent: % 61.27/9.72 ---------------------------------------------------------------- % 61.27/9.72 (1) all_18_0 = e23 | all_18_0 = e21 % 61.27/9.72 (2) all_18_0 = all_8_2 % 61.27/9.72 (3) ~ (all_8_2 = e21) % 61.27/9.72 (4) ~ (all_8_2 = e23) % 61.27/9.72 % 61.27/9.72 Begin of proof % 61.27/9.72 | % 61.27/9.72 | BETA: splitting (1) gives: % 61.27/9.72 | % 61.27/9.72 | Case 1: % 61.27/9.72 | | % 61.27/9.72 | | (5) all_18_0 = e21 % 61.27/9.72 | | % 61.27/9.72 | | COMBINE_EQS: (2), (5) imply: % 61.27/9.72 | | (6) all_8_2 = e21 % 61.27/9.72 | | % 61.27/9.72 | | REDUCE: (3), (6) imply: % 61.27/9.72 | | (7) $false % 61.27/9.72 | | % 61.27/9.72 | | CLOSE: (7) is inconsistent. % 61.27/9.72 | | % 61.27/9.72 | Case 2: % 61.27/9.72 | | % 61.27/9.72 | | (8) all_18_0 = e23 % 61.27/9.72 | | % 61.27/9.72 | | COMBINE_EQS: (2), (8) imply: % 61.27/9.72 | | (9) all_8_2 = e23 % 61.27/9.72 | | % 61.27/9.72 | | REDUCE: (4), (9) imply: % 61.27/9.72 | | (10) $false % 61.27/9.72 | | % 61.27/9.72 | | CLOSE: (10) is inconsistent. % 61.27/9.72 | | % 61.27/9.72 | End of split % 61.27/9.72 | % 61.27/9.72 End of proof % 61.27/9.72 % 61.27/9.72 Sub-proof #122 shows that the following formulas are inconsistent: % 61.27/9.72 ---------------------------------------------------------------- % 61.27/9.72 (1) all_26_5 = e20 % 61.27/9.72 (2) ~ (e21 = e20) % 61.27/9.72 (3) all_26_3 = e22 % 61.27/9.72 (4) ~ (e22 = e21) % 61.27/9.72 (5) all_26_10 = e23 % 61.27/9.72 (6) all_26_3 = e21 | all_26_5 = e21 | all_26_10 = e21 % 61.27/9.72 (7) ~ (e23 = e21) % 61.27/9.72 % 61.27/9.72 Begin of proof % 61.27/9.72 | % 61.27/9.72 | BETA: splitting (6) gives: % 61.27/9.72 | % 61.27/9.72 | Case 1: % 61.27/9.72 | | % 61.27/9.72 | | (8) all_26_3 = e21 % 61.27/9.72 | | % 61.27/9.72 | | REF_CLOSE: (3), (4), (8) are inconsistent by sub-proof #123. % 61.27/9.72 | | % 61.27/9.72 | Case 2: % 61.27/9.72 | | % 61.27/9.72 | | (9) all_26_5 = e21 | all_26_10 = e21 % 61.27/9.72 | | % 61.27/9.72 | | BETA: splitting (9) gives: % 61.27/9.72 | | % 61.27/9.72 | | Case 1: % 61.27/9.72 | | | % 61.27/9.72 | | | (10) all_26_5 = e21 % 61.27/9.72 | | | % 61.27/9.72 | | | COMBINE_EQS: (1), (10) imply: % 61.27/9.72 | | | (11) e21 = e20 % 61.27/9.72 | | | % 61.27/9.72 | | | REDUCE: (2), (11) imply: % 61.27/9.72 | | | (12) $false % 61.27/9.72 | | | % 61.27/9.72 | | | CLOSE: (12) is inconsistent. % 61.27/9.72 | | | % 61.27/9.72 | | Case 2: % 61.27/9.72 | | | % 61.27/9.72 | | | (13) all_26_10 = e21 % 61.27/9.72 | | | % 61.27/9.72 | | | COMBINE_EQS: (5), (13) imply: % 61.27/9.72 | | | (14) e23 = e21 % 61.27/9.72 | | | % 61.27/9.72 | | | SIMP: (14) implies: % 61.27/9.72 | | | (15) e23 = e21 % 61.27/9.72 | | | % 61.27/9.72 | | | REDUCE: (7), (15) imply: % 61.27/9.72 | | | (16) $false % 61.27/9.72 | | | % 61.27/9.72 | | | CLOSE: (16) is inconsistent. % 61.27/9.72 | | | % 61.27/9.72 | | End of split % 61.27/9.72 | | % 61.27/9.72 | End of split % 61.27/9.72 | % 61.27/9.72 End of proof % 61.27/9.72 % 61.27/9.72 Sub-proof #123 shows that the following formulas are inconsistent: % 61.27/9.72 ---------------------------------------------------------------- % 61.27/9.72 (1) all_26_3 = e22 % 61.27/9.72 (2) all_26_3 = e21 % 61.27/9.72 (3) ~ (e22 = e21) % 61.27/9.72 % 61.27/9.72 Begin of proof % 61.27/9.72 | % 61.27/9.72 | COMBINE_EQS: (1), (2) imply: % 61.27/9.72 | (4) e22 = e21 % 61.27/9.72 | % 61.27/9.72 | SIMP: (4) implies: % 61.27/9.72 | (5) e22 = e21 % 61.27/9.72 | % 61.27/9.72 | REDUCE: (3), (5) imply: % 61.27/9.72 | (6) $false % 61.27/9.72 | % 61.27/9.72 | CLOSE: (6) is inconsistent. % 61.27/9.72 | % 61.27/9.72 End of proof % 61.27/9.72 % 61.27/9.72 Sub-proof #124 shows that the following formulas are inconsistent: % 61.27/9.72 ---------------------------------------------------------------- % 61.27/9.72 (1) ~ (e23 = e22) % 61.27/9.72 (2) all_26_2 = e21 % 61.27/9.72 (3) ~ (e22 = e20) % 61.27/9.72 (4) ~ (all_14_2 = e22) % 61.27/9.72 (5) ~ (e22 = e21) % 61.27/9.72 (6) all_26_0 = e23 % 61.27/9.72 (7) all_26_6 = all_14_2 % 61.27/9.72 (8) all_26_12 = e20 % 61.27/9.72 (9) all_26_0 = e22 | all_26_2 = e22 | all_26_6 = e22 | all_26_12 = e22 % 61.27/9.72 % 61.27/9.72 Begin of proof % 61.27/9.72 | % 61.27/9.72 | BETA: splitting (9) gives: % 61.27/9.72 | % 61.27/9.72 | Case 1: % 61.27/9.72 | | % 61.27/9.72 | | (10) all_26_0 = e22 % 61.27/9.72 | | % 61.27/9.72 | | COMBINE_EQS: (6), (10) imply: % 61.27/9.72 | | (11) e23 = e22 % 61.27/9.72 | | % 61.27/9.72 | | REDUCE: (1), (11) imply: % 61.27/9.72 | | (12) $false % 61.27/9.72 | | % 61.27/9.72 | | CLOSE: (12) is inconsistent. % 61.27/9.72 | | % 61.27/9.72 | Case 2: % 61.27/9.72 | | % 61.27/9.72 | | (13) all_26_2 = e22 | all_26_6 = e22 | all_26_12 = e22 % 61.27/9.72 | | % 61.27/9.72 | | BETA: splitting (13) gives: % 61.27/9.72 | | % 61.27/9.72 | | Case 1: % 61.27/9.72 | | | % 61.27/9.72 | | | (14) all_26_2 = e22 % 61.27/9.72 | | | % 61.27/9.72 | | | COMBINE_EQS: (2), (14) imply: % 61.27/9.72 | | | (15) e22 = e21 % 61.27/9.72 | | | % 61.27/9.72 | | | SIMP: (15) implies: % 61.27/9.72 | | | (16) e22 = e21 % 61.27/9.72 | | | % 61.27/9.72 | | | REDUCE: (5), (16) imply: % 61.27/9.72 | | | (17) $false % 61.27/9.72 | | | % 61.27/9.72 | | | CLOSE: (17) is inconsistent. % 61.27/9.72 | | | % 61.27/9.72 | | Case 2: % 61.27/9.72 | | | % 61.27/9.72 | | | (18) all_26_6 = e22 | all_26_12 = e22 % 61.27/9.72 | | | % 61.27/9.72 | | | REF_CLOSE: (3), (4), (7), (8), (18) are inconsistent by sub-proof #125. % 61.27/9.72 | | | % 61.27/9.72 | | End of split % 61.27/9.72 | | % 61.27/9.72 | End of split % 61.27/9.72 | % 61.27/9.72 End of proof % 61.27/9.72 % 61.27/9.72 Sub-proof #125 shows that the following formulas are inconsistent: % 61.27/9.72 ---------------------------------------------------------------- % 61.27/9.72 (1) all_26_6 = e22 | all_26_12 = e22 % 61.27/9.72 (2) ~ (e22 = e20) % 61.27/9.72 (3) ~ (all_14_2 = e22) % 61.27/9.72 (4) all_26_6 = all_14_2 % 61.27/9.72 (5) all_26_12 = e20 % 61.27/9.72 % 61.27/9.72 Begin of proof % 61.27/9.72 | % 61.27/9.72 | BETA: splitting (1) gives: % 61.27/9.72 | % 61.27/9.72 | Case 1: % 61.27/9.72 | | % 61.27/9.72 | | (6) all_26_6 = e22 % 61.27/9.72 | | % 61.27/9.72 | | COMBINE_EQS: (4), (6) imply: % 61.27/9.72 | | (7) all_14_2 = e22 % 61.27/9.72 | | % 61.27/9.72 | | SIMP: (7) implies: % 61.27/9.72 | | (8) all_14_2 = e22 % 61.27/9.72 | | % 61.27/9.72 | | REDUCE: (3), (8) imply: % 61.27/9.72 | | (9) $false % 61.27/9.72 | | % 61.27/9.72 | | CLOSE: (9) is inconsistent. % 61.27/9.72 | | % 61.27/9.72 | Case 2: % 61.27/9.72 | | % 61.27/9.72 | | (10) all_26_12 = e22 % 61.27/9.72 | | % 61.27/9.72 | | COMBINE_EQS: (5), (10) imply: % 61.27/9.72 | | (11) e22 = e20 % 61.27/9.72 | | % 61.27/9.72 | | REDUCE: (2), (11) imply: % 61.27/9.72 | | (12) $false % 61.27/9.72 | | % 61.27/9.72 | | CLOSE: (12) is inconsistent. % 61.27/9.72 | | % 61.27/9.72 | End of split % 61.27/9.72 | % 61.27/9.72 End of proof % 61.27/9.72 % 61.27/9.72 Sub-proof #126 shows that the following formulas are inconsistent: % 61.27/9.72 ---------------------------------------------------------------- % 61.27/9.72 (1) ~ (e21 = e20) % 61.27/9.72 (2) ~ (e23 = e22) % 61.27/9.72 (3) (all_22_10 = e20 & all_22_13 = e21 & ~ (all_22_9 = e23) & ~ (all_22_14 % 61.27/9.72 = e20)) | (all_22_11 = e22 & all_22_14 = e20 & ~ (all_22_12 = e20) & % 61.27/9.72 ~ (all_22_13 = e21)) | (all_22_12 = e20 & all_22_13 = e21 & ~ % 61.27/9.72 (all_22_11 = e22) & ~ (all_22_14 = e20)) % 61.27/9.72 (4) all_22_11 = e23 % 61.27/9.72 (5) all_22_13 = e20 % 61.27/9.72 % 61.27/9.72 Begin of proof % 61.27/9.72 | % 61.27/9.72 | BETA: splitting (3) gives: % 61.27/9.72 | % 61.27/9.72 | Case 1: % 61.27/9.72 | | % 61.27/9.72 | | (6) all_22_10 = e20 & all_22_13 = e21 & ~ (all_22_9 = e23) & ~ % 61.27/9.72 | | (all_22_14 = e20) % 61.27/9.72 | | % 61.27/9.72 | | REF_CLOSE: (1), (5), (6) are inconsistent by sub-proof #129. % 61.27/9.72 | | % 61.27/9.72 | Case 2: % 61.27/9.72 | | % 61.27/9.72 | | (7) (all_22_11 = e22 & all_22_14 = e20 & ~ (all_22_12 = e20) & ~ % 61.27/9.72 | | (all_22_13 = e21)) | (all_22_12 = e20 & all_22_13 = e21 & ~ % 61.27/9.72 | | (all_22_11 = e22) & ~ (all_22_14 = e20)) % 61.27/9.72 | | % 61.27/9.72 | | BETA: splitting (7) gives: % 61.27/9.72 | | % 61.27/9.72 | | Case 1: % 61.27/9.72 | | | % 61.27/9.72 | | | (8) all_22_11 = e22 & all_22_14 = e20 & ~ (all_22_12 = e20) & ~ % 61.27/9.72 | | | (all_22_13 = e21) % 61.27/9.72 | | | % 61.27/9.72 | | | ALPHA: (8) implies: % 61.27/9.72 | | | (9) all_22_11 = e22 % 61.27/9.72 | | | % 61.27/9.72 | | | REF_CLOSE: (2), (4), (9) are inconsistent by sub-proof #128. % 61.27/9.72 | | | % 61.27/9.72 | | Case 2: % 61.27/9.72 | | | % 61.27/9.72 | | | (10) all_22_12 = e20 & all_22_13 = e21 & ~ (all_22_11 = e22) & ~ % 61.27/9.72 | | | (all_22_14 = e20) % 61.27/9.72 | | | % 61.27/9.72 | | | REF_CLOSE: (1), (5), (10) are inconsistent by sub-proof #127. % 61.27/9.72 | | | % 61.27/9.72 | | End of split % 61.27/9.72 | | % 61.27/9.72 | End of split % 61.27/9.72 | % 61.27/9.72 End of proof % 61.27/9.72 % 61.27/9.72 Sub-proof #127 shows that the following formulas are inconsistent: % 61.27/9.72 ---------------------------------------------------------------- % 61.27/9.72 (1) all_22_12 = e20 & all_22_13 = e21 & ~ (all_22_11 = e22) & ~ (all_22_14 % 61.27/9.72 = e20) % 61.27/9.72 (2) all_22_13 = e20 % 61.27/9.72 (3) ~ (e21 = e20) % 61.27/9.72 % 61.27/9.72 Begin of proof % 61.27/9.72 | % 61.27/9.72 | ALPHA: (1) implies: % 61.27/9.72 | (4) all_22_13 = e21 % 61.27/9.72 | % 61.27/9.72 | COMBINE_EQS: (2), (4) imply: % 61.27/9.72 | (5) e21 = e20 % 61.27/9.72 | % 61.27/9.72 | REDUCE: (3), (5) imply: % 61.27/9.72 | (6) $false % 61.27/9.72 | % 61.27/9.72 | CLOSE: (6) is inconsistent. % 61.27/9.72 | % 61.27/9.72 End of proof % 61.27/9.72 % 61.27/9.72 Sub-proof #128 shows that the following formulas are inconsistent: % 61.27/9.72 ---------------------------------------------------------------- % 61.27/9.72 (1) all_22_11 = e23 % 61.27/9.72 (2) all_22_11 = e22 % 61.27/9.72 (3) ~ (e23 = e22) % 61.27/9.72 % 61.27/9.72 Begin of proof % 61.27/9.72 | % 61.27/9.72 | COMBINE_EQS: (1), (2) imply: % 61.27/9.72 | (4) e23 = e22 % 61.27/9.72 | % 61.27/9.72 | SIMP: (4) implies: % 61.27/9.72 | (5) e23 = e22 % 61.27/9.72 | % 61.27/9.72 | REDUCE: (3), (5) imply: % 61.27/9.72 | (6) $false % 61.27/9.72 | % 61.27/9.72 | CLOSE: (6) is inconsistent. % 61.27/9.72 | % 61.27/9.72 End of proof % 61.27/9.72 % 61.27/9.72 Sub-proof #129 shows that the following formulas are inconsistent: % 61.27/9.72 ---------------------------------------------------------------- % 61.27/9.72 (1) all_22_10 = e20 & all_22_13 = e21 & ~ (all_22_9 = e23) & ~ (all_22_14 = % 61.27/9.72 e20) % 61.27/9.72 (2) all_22_13 = e20 % 61.27/9.72 (3) ~ (e21 = e20) % 61.27/9.72 % 61.27/9.72 Begin of proof % 61.27/9.72 | % 61.27/9.72 | ALPHA: (1) implies: % 61.27/9.72 | (4) all_22_13 = e21 % 61.27/9.72 | % 61.27/9.72 | COMBINE_EQS: (2), (4) imply: % 61.27/9.72 | (5) e21 = e20 % 61.27/9.72 | % 61.27/9.72 | REDUCE: (3), (5) imply: % 61.27/9.72 | (6) $false % 61.27/9.72 | % 61.27/9.72 | CLOSE: (6) is inconsistent. % 61.27/9.72 | % 61.27/9.72 End of proof % 61.27/9.72 % 61.27/9.72 Sub-proof #130 shows that the following formulas are inconsistent: % 61.27/9.72 ---------------------------------------------------------------- % 61.27/9.72 (1) all_22_10 = e20 & all_22_11 = e22 & ~ (all_22_9 = e23) & ~ (all_22_12 = % 61.27/9.72 e20) % 61.27/9.72 (2) all_22_10 = e23 % 61.27/9.72 (3) all_22_11 = e23 % 61.27/9.72 (4) ~ (e22 = e20) % 61.27/9.72 % 61.27/9.72 Begin of proof % 61.27/9.72 | % 61.27/9.72 | ALPHA: (1) implies: % 61.27/9.72 | (5) all_22_11 = e22 % 61.27/9.72 | (6) all_22_10 = e20 % 61.27/9.72 | % 61.27/9.72 | COMBINE_EQS: (2), (6) imply: % 61.27/9.72 | (7) e23 = e20 % 61.27/9.72 | % 61.27/9.72 | COMBINE_EQS: (3), (5) imply: % 61.27/9.72 | (8) e23 = e22 % 61.27/9.72 | % 61.27/9.72 | REF_CLOSE: (4), (7), (8) are inconsistent by sub-proof #154. % 61.27/9.72 | % 61.27/9.72 End of proof % 61.27/9.72 % 61.27/9.72 Sub-proof #131 shows that the following formulas are inconsistent: % 61.27/9.72 ---------------------------------------------------------------- % 61.27/9.72 (1) all_22_9 = e23 & all_22_14 = e20 & ~ (all_22_10 = e20) & ~ (all_22_13 = % 61.27/9.72 e21) % 61.27/9.72 (2) all_22_9 = e22 % 61.27/9.72 (3) ~ (e23 = e22) % 61.27/9.72 % 61.27/9.72 Begin of proof % 61.27/9.72 | % 61.27/9.72 | ALPHA: (1) implies: % 61.27/9.72 | (4) all_22_9 = e23 % 61.27/9.72 | % 61.27/9.72 | COMBINE_EQS: (2), (4) imply: % 61.27/9.72 | (5) e23 = e22 % 61.27/9.72 | % 61.27/9.72 | REDUCE: (3), (5) imply: % 61.27/9.72 | (6) $false % 61.27/9.72 | % 61.27/9.72 | CLOSE: (6) is inconsistent. % 61.27/9.72 | % 61.27/9.72 End of proof % 61.27/9.72 % 61.27/9.72 Sub-proof #132 shows that the following formulas are inconsistent: % 61.27/9.72 ---------------------------------------------------------------- % 61.27/9.72 (1) all_22_9 = e23 & all_22_12 = e20 & ~ (all_22_10 = e20) & ~ (all_22_11 = % 61.27/9.72 e22) % 61.27/9.72 (2) all_22_12 = e22 % 61.27/9.72 (3) ~ (e22 = e20) % 61.27/9.72 % 61.27/9.72 Begin of proof % 61.27/9.72 | % 61.27/9.72 | ALPHA: (1) implies: % 61.27/9.72 | (4) all_22_12 = e20 % 61.27/9.72 | % 61.27/9.72 | COMBINE_EQS: (2), (4) imply: % 61.27/9.72 | (5) e22 = e20 % 61.27/9.72 | % 61.27/9.72 | SIMP: (5) implies: % 61.27/9.72 | (6) e22 = e20 % 61.27/9.72 | % 61.27/9.72 | REDUCE: (3), (6) imply: % 61.27/9.72 | (7) $false % 61.27/9.72 | % 61.27/9.72 | CLOSE: (7) is inconsistent. % 61.27/9.72 | % 61.27/9.72 End of proof % 61.27/9.72 % 61.27/9.72 Sub-proof #133 shows that the following formulas are inconsistent: % 61.27/9.72 ---------------------------------------------------------------- % 61.27/9.72 (1) ~ (e21 = e20) % 61.27/9.72 (2) (all_22_8 = e20 & all_22_10 = e21 & ~ (all_22_6 = e23) & ~ (all_22_15 = % 61.27/9.72 e21)) | (all_22_8 = e20 & all_22_12 = e21 & ~ (all_22_7 = e22) & ~ % 61.27/9.72 (all_22_15 = e21)) % 61.27/9.72 (3) ~ (e22 = e20) % 61.27/9.72 (4) all_22_12 = e22 % 61.27/9.72 (5) all_22_8 = e22 % 61.27/9.72 % 61.27/9.72 Begin of proof % 61.27/9.72 | % 61.27/9.72 | BETA: splitting (2) gives: % 61.27/9.72 | % 61.27/9.72 | Case 1: % 61.27/9.72 | | % 61.27/9.72 | | (6) all_22_8 = e20 & all_22_10 = e21 & ~ (all_22_6 = e23) & ~ % 61.27/9.72 | | (all_22_15 = e21) % 61.27/9.72 | | % 61.27/9.72 | | ALPHA: (6) implies: % 61.27/9.72 | | (7) all_22_8 = e20 % 61.27/9.72 | | % 61.27/9.72 | | REF_CLOSE: (3), (5), (7) are inconsistent by sub-proof #135. % 61.27/9.72 | | % 61.27/9.72 | Case 2: % 61.27/9.72 | | % 61.27/9.72 | | (8) all_22_8 = e20 & all_22_12 = e21 & ~ (all_22_7 = e22) & ~ % 61.27/9.72 | | (all_22_15 = e21) % 61.27/9.72 | | % 61.27/9.72 | | ALPHA: (8) implies: % 61.27/9.72 | | (9) all_22_12 = e21 % 61.27/9.72 | | (10) all_22_8 = e20 % 61.27/9.72 | | % 61.27/9.72 | | COMBINE_EQS: (5), (10) imply: % 61.27/9.72 | | (11) e22 = e20 % 61.27/9.72 | | % 61.27/9.72 | | SIMP: (11) implies: % 61.27/9.72 | | (12) e22 = e20 % 61.27/9.72 | | % 61.27/9.72 | | COMBINE_EQS: (4), (9) imply: % 61.27/9.72 | | (13) e22 = e21 % 61.27/9.72 | | % 61.27/9.72 | | SIMP: (13) implies: % 61.27/9.72 | | (14) e22 = e21 % 61.27/9.72 | | % 61.27/9.72 | | REF_CLOSE: (1), (12), (14) are inconsistent by sub-proof #134. % 61.27/9.72 | | % 61.27/9.72 | End of split % 61.27/9.72 | % 61.27/9.72 End of proof % 61.27/9.72 % 61.27/9.72 Sub-proof #134 shows that the following formulas are inconsistent: % 61.27/9.72 ---------------------------------------------------------------- % 61.27/9.72 (1) e22 = e21 % 61.27/9.72 (2) e22 = e20 % 61.27/9.72 (3) ~ (e21 = e20) % 61.27/9.72 % 61.27/9.72 Begin of proof % 61.27/9.72 | % 61.27/9.72 | COMBINE_EQS: (1), (2) imply: % 61.27/9.72 | (4) e21 = e20 % 61.27/9.72 | % 61.27/9.72 | SIMP: (4) implies: % 61.27/9.72 | (5) e21 = e20 % 61.27/9.72 | % 61.27/9.72 | REDUCE: (3), (5) imply: % 61.27/9.72 | (6) $false % 61.27/9.72 | % 61.27/9.72 | CLOSE: (6) is inconsistent. % 61.27/9.72 | % 61.27/9.72 End of proof % 61.27/9.72 % 61.27/9.72 Sub-proof #135 shows that the following formulas are inconsistent: % 61.27/9.72 ---------------------------------------------------------------- % 61.27/9.72 (1) all_22_8 = e22 % 61.27/9.72 (2) all_22_8 = e20 % 61.27/9.72 (3) ~ (e22 = e20) % 61.27/9.72 % 61.27/9.72 Begin of proof % 61.27/9.72 | % 61.27/9.72 | COMBINE_EQS: (1), (2) imply: % 61.27/9.72 | (4) e22 = e20 % 61.27/9.72 | % 61.27/9.72 | SIMP: (4) implies: % 61.27/9.72 | (5) e22 = e20 % 61.27/9.72 | % 61.27/9.72 | REDUCE: (3), (5) imply: % 61.27/9.72 | (6) $false % 61.27/9.72 | % 61.27/9.72 | CLOSE: (6) is inconsistent. % 61.27/9.72 | % 61.27/9.72 End of proof % 61.27/9.72 % 61.27/9.72 Sub-proof #136 shows that the following formulas are inconsistent: % 61.27/9.72 ---------------------------------------------------------------- % 61.27/9.72 (1) all_22_6 = e23 & all_22_12 = e21 & ~ (all_22_7 = e22) & ~ (all_22_10 = % 61.27/9.72 e21) % 61.27/9.72 (2) all_22_12 = e22 % 61.27/9.72 (3) ~ (e22 = e21) % 61.27/9.72 % 61.27/9.72 Begin of proof % 61.27/9.72 | % 61.27/9.72 | ALPHA: (1) implies: % 61.27/9.72 | (4) all_22_12 = e21 % 61.27/9.72 | % 61.27/9.72 | COMBINE_EQS: (2), (4) imply: % 61.27/9.72 | (5) e22 = e21 % 61.27/9.72 | % 61.27/9.72 | SIMP: (5) implies: % 61.27/9.72 | (6) e22 = e21 % 61.27/9.72 | % 61.27/9.72 | REDUCE: (3), (6) imply: % 61.27/9.72 | (7) $false % 61.27/9.72 | % 61.27/9.72 | CLOSE: (7) is inconsistent. % 61.27/9.72 | % 61.27/9.72 End of proof % 61.27/9.72 % 61.27/9.72 Sub-proof #137 shows that the following formulas are inconsistent: % 61.27/9.72 ---------------------------------------------------------------- % 61.27/9.72 (1) all_22_5 = e23 % 61.27/9.72 (2) (all_22_5 = e20 & all_22_10 = e22 & ~ (all_22_3 = e23) & ~ (all_22_15 = % 61.27/9.72 e22)) | (all_22_5 = e20 & all_22_14 = e22 & ~ (all_22_4 = e21) & ~ % 61.27/9.72 (all_22_15 = e22)) % 61.27/9.72 (3) ~ (e22 = e20) % 61.27/9.72 (4) all_22_10 = e23 % 61.27/9.72 (5) ~ (e23 = e20) % 61.27/9.72 % 61.27/9.72 Begin of proof % 61.27/9.72 | % 61.27/9.72 | BETA: splitting (2) gives: % 61.27/9.72 | % 61.27/9.72 | Case 1: % 61.27/9.72 | | % 61.27/9.72 | | (6) all_22_5 = e20 & all_22_10 = e22 & ~ (all_22_3 = e23) & ~ % 61.27/9.72 | | (all_22_15 = e22) % 61.27/9.72 | | % 61.27/9.72 | | ALPHA: (6) implies: % 61.27/9.72 | | (7) all_22_10 = e22 % 61.27/9.72 | | (8) all_22_5 = e20 % 61.27/9.72 | | % 61.27/9.72 | | COMBINE_EQS: (1), (8) imply: % 61.27/9.72 | | (9) e23 = e20 % 61.27/9.72 | | % 61.27/9.72 | | COMBINE_EQS: (4), (7) imply: % 61.27/9.72 | | (10) e23 = e22 % 61.27/9.72 | | % 61.27/9.72 | | REF_CLOSE: (3), (9), (10) are inconsistent by sub-proof #154. % 61.27/9.72 | | % 61.27/9.72 | Case 2: % 61.27/9.72 | | % 61.27/9.72 | | (11) all_22_5 = e20 & all_22_14 = e22 & ~ (all_22_4 = e21) & ~ % 61.27/9.72 | | (all_22_15 = e22) % 61.27/9.72 | | % 61.27/9.72 | | REF_CLOSE: (1), (5), (11) are inconsistent by sub-proof #138. % 61.27/9.72 | | % 61.27/9.72 | End of split % 61.27/9.72 | % 61.27/9.72 End of proof % 61.27/9.72 % 61.27/9.72 Sub-proof #138 shows that the following formulas are inconsistent: % 61.27/9.72 ---------------------------------------------------------------- % 61.27/9.72 (1) all_22_5 = e20 & all_22_14 = e22 & ~ (all_22_4 = e21) & ~ (all_22_15 = % 61.27/9.72 e22) % 61.27/9.72 (2) all_22_5 = e23 % 61.27/9.72 (3) ~ (e23 = e20) % 61.27/9.72 % 61.27/9.72 Begin of proof % 61.27/9.72 | % 61.27/9.72 | ALPHA: (1) implies: % 61.27/9.72 | (4) all_22_5 = e20 % 61.27/9.72 | % 61.27/9.72 | COMBINE_EQS: (2), (4) imply: % 61.27/9.72 | (5) e23 = e20 % 61.27/9.72 | % 61.27/9.72 | REDUCE: (3), (5) imply: % 61.27/9.72 | (6) $false % 61.27/9.72 | % 61.27/9.72 | CLOSE: (6) is inconsistent. % 61.27/9.72 | % 61.27/9.72 End of proof % 61.27/9.72 % 61.27/9.72 Sub-proof #139 shows that the following formulas are inconsistent: % 61.27/9.72 ---------------------------------------------------------------- % 61.27/9.72 (1) ~ (e23 = e22) % 61.27/9.72 (2) all_22_15 = e21 % 61.27/9.72 (3) (all_22_3 = e23 & all_22_15 = e22 & ~ (all_22_5 = e20) & ~ (all_22_10 = % 61.27/9.72 e22)) | (all_22_4 = e21 & all_22_10 = e22 & ~ (all_22_3 = e23) & ~ % 61.27/9.72 (all_22_14 = e22)) % 61.27/9.72 (4) ~ (e22 = e21) % 61.27/9.72 (5) all_22_10 = e23 % 61.27/9.72 % 61.27/9.72 Begin of proof % 61.27/9.72 | % 61.27/9.72 | BETA: splitting (3) gives: % 61.27/9.72 | % 61.27/9.72 | Case 1: % 61.27/9.72 | | % 61.27/9.72 | | (6) all_22_3 = e23 & all_22_15 = e22 & ~ (all_22_5 = e20) & ~ % 61.27/9.72 | | (all_22_10 = e22) % 61.27/9.72 | | % 61.27/9.72 | | ALPHA: (6) implies: % 61.27/9.72 | | (7) all_22_15 = e22 % 61.27/9.72 | | % 61.27/9.72 | | REF_CLOSE: (2), (4), (7) are inconsistent by sub-proof #141. % 61.27/9.72 | | % 61.27/9.72 | Case 2: % 61.27/9.72 | | % 61.27/9.72 | | (8) all_22_4 = e21 & all_22_10 = e22 & ~ (all_22_3 = e23) & ~ % 61.27/9.72 | | (all_22_14 = e22) % 61.27/9.72 | | % 61.27/9.72 | | REF_CLOSE: (1), (5), (8) are inconsistent by sub-proof #140. % 61.27/9.72 | | % 61.27/9.72 | End of split % 61.27/9.72 | % 61.27/9.72 End of proof % 61.27/9.72 % 61.27/9.72 Sub-proof #140 shows that the following formulas are inconsistent: % 61.27/9.72 ---------------------------------------------------------------- % 61.27/9.72 (1) all_22_4 = e21 & all_22_10 = e22 & ~ (all_22_3 = e23) & ~ (all_22_14 = % 61.27/9.72 e22) % 61.27/9.72 (2) all_22_10 = e23 % 61.27/9.72 (3) ~ (e23 = e22) % 61.27/9.72 % 61.27/9.72 Begin of proof % 61.27/9.72 | % 61.27/9.72 | ALPHA: (1) implies: % 61.27/9.72 | (4) all_22_10 = e22 % 61.27/9.72 | % 61.27/9.72 | COMBINE_EQS: (2), (4) imply: % 61.27/9.72 | (5) e23 = e22 % 61.27/9.72 | % 61.27/9.72 | SIMP: (5) implies: % 61.27/9.72 | (6) e23 = e22 % 61.27/9.72 | % 61.27/9.72 | REDUCE: (3), (6) imply: % 61.27/9.72 | (7) $false % 61.27/9.72 | % 61.27/9.72 | CLOSE: (7) is inconsistent. % 61.27/9.72 | % 61.27/9.72 End of proof % 61.27/9.72 % 61.27/9.72 Sub-proof #141 shows that the following formulas are inconsistent: % 61.27/9.72 ---------------------------------------------------------------- % 61.27/9.72 (1) all_22_15 = e22 % 61.27/9.72 (2) all_22_15 = e21 % 61.27/9.72 (3) ~ (e22 = e21) % 61.27/9.72 % 61.27/9.72 Begin of proof % 61.27/9.72 | % 61.27/9.72 | COMBINE_EQS: (1), (2) imply: % 61.27/9.72 | (4) e22 = e21 % 61.27/9.72 | % 61.27/9.72 | SIMP: (4) implies: % 61.27/9.72 | (5) e22 = e21 % 61.27/9.72 | % 61.27/9.72 | REDUCE: (3), (5) imply: % 61.27/9.72 | (6) $false % 61.27/9.72 | % 61.27/9.72 | CLOSE: (6) is inconsistent. % 61.27/9.72 | % 61.27/9.72 End of proof % 61.27/9.72 % 61.27/9.72 Sub-proof #142 shows that the following formulas are inconsistent: % 61.27/9.72 ---------------------------------------------------------------- % 61.27/9.72 (1) all_22_2 = e20 & all_22_12 = e23 & ~ (all_22_0 = e22) & ~ (all_22_15 = % 61.27/9.72 e23) % 61.27/9.72 (2) all_22_12 = e22 % 61.27/9.72 (3) ~ (e23 = e22) % 61.27/9.72 % 61.27/9.72 Begin of proof % 61.27/9.72 | % 61.27/9.72 | ALPHA: (1) implies: % 61.27/9.72 | (4) all_22_12 = e23 % 61.27/9.72 | % 61.27/9.72 | COMBINE_EQS: (2), (4) imply: % 61.27/9.72 | (5) e23 = e22 % 61.27/9.72 | % 61.27/9.72 | REDUCE: (3), (5) imply: % 61.27/9.72 | (6) $false % 61.27/9.72 | % 61.27/9.72 | CLOSE: (6) is inconsistent. % 61.27/9.72 | % 61.27/9.72 End of proof % 61.27/9.72 % 61.27/9.72 Sub-proof #143 shows that the following formulas are inconsistent: % 61.27/9.72 ---------------------------------------------------------------- % 61.27/9.72 (1) all_22_1 = e22 % 61.27/9.72 (2) all_22_1 = e21 % 61.27/9.72 (3) ~ (e22 = e21) % 61.27/9.72 % 61.27/9.72 Begin of proof % 61.27/9.72 | % 61.27/9.72 | COMBINE_EQS: (1), (2) imply: % 61.27/9.72 | (4) e22 = e21 % 61.27/9.72 | % 61.27/9.72 | SIMP: (4) implies: % 61.27/9.72 | (5) e22 = e21 % 61.27/9.72 | % 61.27/9.72 | REDUCE: (3), (5) imply: % 61.27/9.72 | (6) $false % 61.27/9.72 | % 61.27/9.72 | CLOSE: (6) is inconsistent. % 61.27/9.72 | % 61.27/9.72 End of proof % 61.27/9.72 % 61.27/9.72 Sub-proof #144 shows that the following formulas are inconsistent: % 61.27/9.72 ---------------------------------------------------------------- % 61.27/9.72 (1) ~ (all_6_2 = e23) % 61.27/9.73 (2) (all_22_0 = e22 & all_22_14 = e23 & ~ (all_22_1 = e21) & ~ (all_22_12 = % 61.27/9.73 e23)) | (all_22_0 = e22 & all_22_15 = e23 & ~ (all_22_2 = e20) & ~ % 61.27/9.73 (all_22_12 = e23)) | (all_22_1 = e21 & all_22_12 = e23 & ~ (all_22_0 = % 61.27/9.73 e22) & ~ (all_22_14 = e23)) | (all_22_1 = e21 & all_22_15 = e23 & ~ % 61.27/9.73 (all_22_2 = e20) & ~ (all_22_14 = e23)) | (all_22_2 = e20 & all_22_12 % 61.27/9.73 = e23 & ~ (all_22_0 = e22) & ~ (all_22_15 = e23)) | (all_22_2 = e20 & % 61.27/9.73 all_22_14 = e23 & ~ (all_22_1 = e21) & ~ (all_22_15 = e23)) | % 61.27/9.73 (all_22_3 = e23 & all_22_14 = e22 & ~ (all_22_4 = e21) & ~ (all_22_10 = % 61.27/9.73 e22)) | (all_22_3 = e23 & all_22_15 = e22 & ~ (all_22_5 = e20) & ~ % 61.27/9.73 (all_22_10 = e22)) | (all_22_4 = e21 & all_22_10 = e22 & ~ (all_22_3 = % 61.27/9.73 e23) & ~ (all_22_14 = e22)) | (all_22_4 = e21 & all_22_15 = e22 & ~ % 61.27/9.73 (all_22_5 = e20) & ~ (all_22_14 = e22)) | (all_22_5 = e20 & all_22_10 % 61.27/9.73 = e22 & ~ (all_22_3 = e23) & ~ (all_22_15 = e22)) | (all_22_5 = e20 & % 61.27/9.73 all_22_14 = e22 & ~ (all_22_4 = e21) & ~ (all_22_15 = e22)) | % 61.27/9.73 (all_22_6 = e23 & all_22_12 = e21 & ~ (all_22_7 = e22) & ~ (all_22_10 = % 61.27/9.73 e21)) | (all_22_6 = e23 & all_22_15 = e21 & ~ (all_22_8 = e20) & ~ % 61.27/9.73 (all_22_10 = e21)) | (all_22_7 = e22 & all_22_10 = e21 & ~ (all_22_6 = % 61.27/9.73 e23) & ~ (all_22_12 = e21)) | (all_22_7 = e22 & all_22_15 = e21 & ~ % 61.27/9.73 (all_22_8 = e20) & ~ (all_22_12 = e21)) | (all_22_8 = e20 & all_22_10 % 61.27/9.73 = e21 & ~ (all_22_6 = e23) & ~ (all_22_15 = e21)) | (all_22_8 = e20 & % 61.27/9.73 all_22_12 = e21 & ~ (all_22_7 = e22) & ~ (all_22_15 = e21)) | % 61.27/9.73 (all_22_9 = e23 & all_22_12 = e20 & ~ (all_22_10 = e20) & ~ (all_22_11 % 61.27/9.73 = e22)) | (all_22_9 = e23 & all_22_14 = e20 & ~ (all_22_10 = e20) & % 61.27/9.73 ~ (all_22_13 = e21)) | (all_22_10 = e20 & all_22_11 = e22 & ~ % 61.27/9.73 (all_22_9 = e23) & ~ (all_22_12 = e20)) | (all_22_10 = e20 & all_22_13 % 61.27/9.73 = e21 & ~ (all_22_9 = e23) & ~ (all_22_14 = e20)) | (all_22_11 = e22 % 61.27/9.73 & all_22_14 = e20 & ~ (all_22_12 = e20) & ~ (all_22_13 = e21)) | % 61.27/9.73 (all_22_12 = e20 & all_22_13 = e21 & ~ (all_22_11 = e22) & ~ (all_22_14 % 61.27/9.73 = e20)) % 61.27/9.73 (3) ~ (e21 = e20) % 61.27/9.73 (4) all_26_9 = e22 % 61.27/9.73 (5) all_26_3 = all_6_2 % 61.27/9.73 (6) all_26_0 = e21 | all_26_1 = e21 | all_26_4 = e21 | all_26_9 = e21 % 61.27/9.73 (7) all_22_6 = all_14_8 % 61.27/9.73 (8) all_22_7 = e20 % 61.27/9.73 (9) all_22_12 = all_6_2 % 61.27/9.73 (10) all_26_7 = all_14_6 % 61.27/9.73 (11) all_22_5 = e23 % 61.27/9.73 (12) all_26_13 = e23 % 61.27/9.73 (13) ~ (all_14_8 = all_4_2) % 61.27/9.73 (14) all_18_10 = all_4_2 % 61.27/9.73 (15) all_26_4 = all_14_8 % 61.27/9.73 (16) all_22_15 = e21 % 61.27/9.73 (17) ~ (all_14_6 = e20) % 61.27/9.73 (18) all_26_1 = e20 | all_26_3 = e20 | all_26_7 = e20 | all_26_13 = e20 % 61.27/9.73 (19) all_18_10 = e23 | all_18_10 = e22 | all_18_10 = e21 % 61.27/9.73 (20) all_22_11 = e23 % 61.27/9.73 (21) ~ (all_6_2 = e20) % 61.27/9.73 (22) ~ (e22 = e20) % 61.27/9.73 (23) ~ (all_22_14 = e23) | all_22_1 = e21 % 61.27/9.73 (24) all_22_3 = e20 % 61.27/9.73 (25) all_22_13 = e20 % 61.27/9.73 (26) ~ (e22 = e21) % 61.27/9.73 (27) all_26_0 = e23 % 61.27/9.73 (28) all_22_14 = all_4_2 % 61.27/9.73 (29) ~ (all_14_2 = all_4_2) % 61.27/9.73 (30) ~ (all_4_2 = e22) % 61.27/9.73 (31) all_22_10 = e23 % 61.27/9.73 (32) all_22_9 = e22 % 61.27/9.73 (33) all_22_1 = all_14_2 % 61.27/9.73 (34) all_22_8 = e22 % 61.27/9.73 (35) ~ (all_14_8 = e22) % 61.27/9.73 (36) ~ (e23 = e20) % 61.27/9.73 (37) ~ (all_14_2 = e20) % 61.27/9.73 (38) ~ (e23 = e21) % 61.27/9.73 % 61.27/9.73 Begin of proof % 61.27/9.73 | % 61.27/9.73 | BETA: splitting (6) gives: % 61.27/9.73 | % 61.27/9.73 | Case 1: % 61.27/9.73 | | % 61.27/9.73 | | (39) all_26_0 = e21 % 61.27/9.73 | | % 61.27/9.73 | | COMBINE_EQS: (27), (39) imply: % 61.27/9.73 | | (40) e23 = e21 % 61.27/9.73 | | % 61.27/9.73 | | REDUCE: (38), (40) imply: % 61.27/9.73 | | (41) $false % 61.27/9.73 | | % 61.27/9.73 | | CLOSE: (41) is inconsistent. % 61.27/9.73 | | % 61.27/9.73 | Case 2: % 61.27/9.73 | | % 61.27/9.73 | | (42) all_26_1 = e21 | all_26_4 = e21 | all_26_9 = e21 % 61.27/9.73 | | % 61.27/9.73 | | BETA: splitting (42) gives: % 61.27/9.73 | | % 61.27/9.73 | | Case 1: % 61.27/9.73 | | | % 61.27/9.73 | | | (43) all_26_1 = e21 % 61.27/9.73 | | | % 61.27/9.73 | | | REF_CLOSE: (3), (5), (10), (12), (17), (18), (21), (36), (43) are % 61.27/9.73 | | | inconsistent by sub-proof #162. % 61.27/9.73 | | | % 61.27/9.73 | | Case 2: % 61.27/9.73 | | | % 61.27/9.73 | | | (44) all_26_4 = e21 | all_26_9 = e21 % 61.27/9.73 | | | % 61.27/9.73 | | | BETA: splitting (44) gives: % 61.27/9.73 | | | % 61.27/9.73 | | | Case 1: % 61.27/9.73 | | | | % 61.27/9.73 | | | | (45) all_26_4 = e21 % 61.27/9.73 | | | | % 61.27/9.73 | | | | COMBINE_EQS: (15), (45) imply: % 61.27/9.73 | | | | (46) all_14_8 = e21 % 61.27/9.73 | | | | % 61.27/9.73 | | | | SIMP: (46) implies: % 61.27/9.73 | | | | (47) all_14_8 = e21 % 61.27/9.73 | | | | % 61.27/9.73 | | | | COMBINE_EQS: (7), (47) imply: % 61.27/9.73 | | | | (48) all_22_6 = e21 % 61.27/9.73 | | | | % 61.27/9.73 | | | | REDUCE: (13), (47) imply: % 61.27/9.73 | | | | (49) ~ (all_4_2 = e21) % 61.27/9.73 | | | | % 61.27/9.73 | | | | SIMP: (49) implies: % 61.27/9.73 | | | | (50) ~ (all_4_2 = e21) % 61.27/9.73 | | | | % 61.27/9.73 | | | | REDUCE: (35), (47) imply: % 61.27/9.73 | | | | (51) ~ (e22 = e21) % 61.27/9.73 | | | | % 61.27/9.73 | | | | BETA: splitting (19) gives: % 61.27/9.73 | | | | % 61.27/9.73 | | | | Case 1: % 61.27/9.73 | | | | | % 61.27/9.73 | | | | | (52) all_18_10 = e22 % 61.27/9.73 | | | | | % 61.27/9.73 | | | | | COMBINE_EQS: (14), (52) imply: % 61.27/9.73 | | | | | (53) all_4_2 = e22 % 61.27/9.73 | | | | | % 61.27/9.73 | | | | | REDUCE: (30), (53) imply: % 61.27/9.73 | | | | | (54) $false % 61.27/9.73 | | | | | % 61.27/9.73 | | | | | CLOSE: (54) is inconsistent. % 61.27/9.73 | | | | | % 61.27/9.73 | | | | Case 2: % 61.27/9.73 | | | | | % 61.27/9.73 | | | | | (55) ~ (all_18_10 = e22) % 61.27/9.73 | | | | | (56) all_18_10 = e23 | all_18_10 = e21 % 61.27/9.73 | | | | | % 61.27/9.73 | | | | | BETA: splitting (56) gives: % 61.27/9.73 | | | | | % 61.27/9.73 | | | | | Case 1: % 61.27/9.73 | | | | | | % 61.27/9.73 | | | | | | (57) all_18_10 = e21 % 61.27/9.73 | | | | | | % 61.27/9.73 | | | | | | COMBINE_EQS: (14), (57) imply: % 61.27/9.73 | | | | | | (58) all_4_2 = e21 % 61.27/9.73 | | | | | | % 61.27/9.73 | | | | | | REDUCE: (50), (58) imply: % 61.27/9.73 | | | | | | (59) $false % 61.27/9.73 | | | | | | % 61.27/9.73 | | | | | | CLOSE: (59) is inconsistent. % 61.27/9.73 | | | | | | % 61.27/9.73 | | | | | Case 2: % 61.27/9.73 | | | | | | % 61.27/9.73 | | | | | | (60) all_18_10 = e23 % 61.27/9.73 | | | | | | % 61.27/9.73 | | | | | | COMBINE_EQS: (14), (60) imply: % 61.27/9.73 | | | | | | (61) all_4_2 = e23 % 61.27/9.73 | | | | | | % 61.27/9.73 | | | | | | COMBINE_EQS: (28), (61) imply: % 61.27/9.73 | | | | | | (62) all_22_14 = e23 % 61.27/9.73 | | | | | | % 61.27/9.73 | | | | | | REDUCE: (29), (61) imply: % 61.27/9.73 | | | | | | (63) ~ (all_14_2 = e23) % 61.27/9.73 | | | | | | % 61.27/9.73 | | | | | | REDUCE: (30), (61) imply: % 61.27/9.73 | | | | | | (64) ~ (e23 = e22) % 61.27/9.73 | | | | | | % 61.27/9.73 | | | | | | BETA: splitting (23) gives: % 61.27/9.73 | | | | | | % 61.27/9.73 | | | | | | Case 1: % 61.27/9.73 | | | | | | | % 61.27/9.73 | | | | | | | (65) ~ (all_22_14 = e23) % 61.27/9.73 | | | | | | | % 61.27/9.73 | | | | | | | REDUCE: (62), (65) imply: % 61.27/9.73 | | | | | | | (66) $false % 61.27/9.73 | | | | | | | % 61.27/9.73 | | | | | | | CLOSE: (66) is inconsistent. % 61.27/9.73 | | | | | | | % 61.27/9.73 | | | | | | Case 2: % 61.27/9.73 | | | | | | | % 61.27/9.73 | | | | | | | (67) all_22_1 = e21 % 61.27/9.73 | | | | | | | % 61.27/9.73 | | | | | | | COMBINE_EQS: (33), (67) imply: % 61.27/9.73 | | | | | | | (68) all_14_2 = e21 % 61.27/9.73 | | | | | | | % 61.27/9.73 | | | | | | | SIMP: (68) implies: % 61.27/9.73 | | | | | | | (69) all_14_2 = e21 % 61.27/9.73 | | | | | | | % 61.27/9.73 | | | | | | | REDUCE: (63), (69) imply: % 61.27/9.73 | | | | | | | (70) ~ (e23 = e21) % 61.27/9.73 | | | | | | | % 61.27/9.73 | | | | | | | REF_CLOSE: (1), (2), (3), (8), (9), (11), (16), (20), (22), (24), % 61.27/9.73 | | | | | | | (25), (26), (31), (32), (34), (38), (48), (62), (64), % 61.27/9.73 | | | | | | | (67) are inconsistent by sub-proof #145. % 61.27/9.73 | | | | | | | % 61.27/9.73 | | | | | | End of split % 61.27/9.73 | | | | | | % 61.27/9.73 | | | | | End of split % 61.27/9.73 | | | | | % 61.27/9.73 | | | | End of split % 61.27/9.73 | | | | % 61.27/9.73 | | | Case 2: % 61.27/9.73 | | | | % 61.27/9.73 | | | | (71) all_26_9 = e21 % 61.27/9.73 | | | | % 61.27/9.73 | | | | COMBINE_EQS: (4), (71) imply: % 61.27/9.73 | | | | (72) e22 = e21 % 61.27/9.73 | | | | % 61.27/9.73 | | | | SIMP: (72) implies: % 61.27/9.73 | | | | (73) e22 = e21 % 61.27/9.73 | | | | % 61.27/9.73 | | | | REDUCE: (26), (73) imply: % 61.27/9.73 | | | | (74) $false % 61.27/9.73 | | | | % 61.27/9.73 | | | | CLOSE: (74) is inconsistent. % 61.27/9.73 | | | | % 61.27/9.73 | | | End of split % 61.27/9.73 | | | % 61.27/9.73 | | End of split % 61.27/9.73 | | % 61.27/9.73 | End of split % 61.27/9.73 | % 61.27/9.73 End of proof % 61.27/9.73 % 61.27/9.73 Sub-proof #145 shows that the following formulas are inconsistent: % 61.27/9.73 ---------------------------------------------------------------- % 61.27/9.73 (1) ~ (all_6_2 = e23) % 61.27/9.73 (2) (all_22_0 = e22 & all_22_14 = e23 & ~ (all_22_1 = e21) & ~ (all_22_12 = % 61.27/9.73 e23)) | (all_22_0 = e22 & all_22_15 = e23 & ~ (all_22_2 = e20) & ~ % 61.27/9.73 (all_22_12 = e23)) | (all_22_1 = e21 & all_22_12 = e23 & ~ (all_22_0 = % 61.27/9.73 e22) & ~ (all_22_14 = e23)) | (all_22_1 = e21 & all_22_15 = e23 & ~ % 61.27/9.73 (all_22_2 = e20) & ~ (all_22_14 = e23)) | (all_22_2 = e20 & all_22_12 % 61.27/9.73 = e23 & ~ (all_22_0 = e22) & ~ (all_22_15 = e23)) | (all_22_2 = e20 & % 61.27/9.73 all_22_14 = e23 & ~ (all_22_1 = e21) & ~ (all_22_15 = e23)) | % 61.27/9.73 (all_22_3 = e23 & all_22_14 = e22 & ~ (all_22_4 = e21) & ~ (all_22_10 = % 61.27/9.73 e22)) | (all_22_3 = e23 & all_22_15 = e22 & ~ (all_22_5 = e20) & ~ % 61.27/9.73 (all_22_10 = e22)) | (all_22_4 = e21 & all_22_10 = e22 & ~ (all_22_3 = % 61.27/9.73 e23) & ~ (all_22_14 = e22)) | (all_22_4 = e21 & all_22_15 = e22 & ~ % 61.27/9.73 (all_22_5 = e20) & ~ (all_22_14 = e22)) | (all_22_5 = e20 & all_22_10 % 61.27/9.73 = e22 & ~ (all_22_3 = e23) & ~ (all_22_15 = e22)) | (all_22_5 = e20 & % 61.27/9.73 all_22_14 = e22 & ~ (all_22_4 = e21) & ~ (all_22_15 = e22)) | % 61.27/9.73 (all_22_6 = e23 & all_22_12 = e21 & ~ (all_22_7 = e22) & ~ (all_22_10 = % 61.27/9.73 e21)) | (all_22_6 = e23 & all_22_15 = e21 & ~ (all_22_8 = e20) & ~ % 61.27/9.73 (all_22_10 = e21)) | (all_22_7 = e22 & all_22_10 = e21 & ~ (all_22_6 = % 61.27/9.73 e23) & ~ (all_22_12 = e21)) | (all_22_7 = e22 & all_22_15 = e21 & ~ % 61.27/9.73 (all_22_8 = e20) & ~ (all_22_12 = e21)) | (all_22_8 = e20 & all_22_10 % 61.27/9.73 = e21 & ~ (all_22_6 = e23) & ~ (all_22_15 = e21)) | (all_22_8 = e20 & % 61.27/9.73 all_22_12 = e21 & ~ (all_22_7 = e22) & ~ (all_22_15 = e21)) | % 61.27/9.73 (all_22_9 = e23 & all_22_12 = e20 & ~ (all_22_10 = e20) & ~ (all_22_11 % 61.27/9.73 = e22)) | (all_22_9 = e23 & all_22_14 = e20 & ~ (all_22_10 = e20) & % 61.27/9.73 ~ (all_22_13 = e21)) | (all_22_10 = e20 & all_22_11 = e22 & ~ % 61.27/9.73 (all_22_9 = e23) & ~ (all_22_12 = e20)) | (all_22_10 = e20 & all_22_13 % 61.27/9.73 = e21 & ~ (all_22_9 = e23) & ~ (all_22_14 = e20)) | (all_22_11 = e22 % 61.27/9.73 & all_22_14 = e20 & ~ (all_22_12 = e20) & ~ (all_22_13 = e21)) | % 61.27/9.73 (all_22_12 = e20 & all_22_13 = e21 & ~ (all_22_11 = e22) & ~ (all_22_14 % 61.27/9.73 = e20)) % 61.27/9.73 (3) ~ (e21 = e20) % 61.27/9.73 (4) ~ (e23 = e22) % 61.27/9.73 (5) all_22_7 = e20 % 61.27/9.73 (6) all_22_12 = all_6_2 % 61.27/9.73 (7) all_22_5 = e23 % 61.27/9.73 (8) all_22_15 = e21 % 61.27/9.73 (9) all_22_1 = e21 % 61.27/9.73 (10) all_22_11 = e23 % 61.27/9.73 (11) ~ (e22 = e20) % 61.27/9.73 (12) all_22_3 = e20 % 61.27/9.73 (13) all_22_6 = e21 % 61.27/9.73 (14) all_22_13 = e20 % 61.27/9.73 (15) ~ (e22 = e21) % 61.27/9.73 (16) all_22_10 = e23 % 61.27/9.73 (17) all_22_9 = e22 % 61.27/9.73 (18) all_22_8 = e22 % 61.27/9.73 (19) all_22_14 = e23 % 61.27/9.73 (20) ~ (e23 = e21) % 61.27/9.73 % 61.27/9.73 Begin of proof % 61.27/9.73 | % 61.27/9.73 | BETA: splitting (2) gives: % 61.27/9.73 | % 61.27/9.73 | Case 1: % 61.27/9.73 | | % 61.27/9.73 | | (21) (all_22_0 = e22 & all_22_14 = e23 & ~ (all_22_1 = e21) & ~ % 61.27/9.73 | | (all_22_12 = e23)) | (all_22_0 = e22 & all_22_15 = e23 & ~ % 61.27/9.73 | | (all_22_2 = e20) & ~ (all_22_12 = e23)) | (all_22_1 = e21 & % 61.27/9.73 | | all_22_12 = e23 & ~ (all_22_0 = e22) & ~ (all_22_14 = e23)) | % 61.27/9.73 | | (all_22_1 = e21 & all_22_15 = e23 & ~ (all_22_2 = e20) & ~ % 61.27/9.73 | | (all_22_14 = e23)) | (all_22_2 = e20 & all_22_12 = e23 & ~ % 61.27/9.73 | | (all_22_0 = e22) & ~ (all_22_15 = e23)) | (all_22_2 = e20 & % 61.27/9.73 | | all_22_14 = e23 & ~ (all_22_1 = e21) & ~ (all_22_15 = e23)) | % 61.27/9.73 | | (all_22_3 = e23 & all_22_14 = e22 & ~ (all_22_4 = e21) & ~ % 61.27/9.73 | | (all_22_10 = e22)) | (all_22_3 = e23 & all_22_15 = e22 & ~ % 61.27/9.73 | | (all_22_5 = e20) & ~ (all_22_10 = e22)) | (all_22_4 = e21 & % 61.27/9.73 | | all_22_10 = e22 & ~ (all_22_3 = e23) & ~ (all_22_14 = e22)) | % 61.27/9.73 | | (all_22_4 = e21 & all_22_15 = e22 & ~ (all_22_5 = e20) & ~ % 61.27/9.73 | | (all_22_14 = e22)) | (all_22_5 = e20 & all_22_10 = e22 & ~ % 61.27/9.73 | | (all_22_3 = e23) & ~ (all_22_15 = e22)) | (all_22_5 = e20 & % 61.27/9.73 | | all_22_14 = e22 & ~ (all_22_4 = e21) & ~ (all_22_15 = e22)) % 61.27/9.73 | | % 61.27/9.73 | | BETA: splitting (21) gives: % 61.27/9.73 | | % 61.27/9.73 | | Case 1: % 61.27/9.73 | | | % 61.27/9.73 | | | (22) (all_22_0 = e22 & all_22_14 = e23 & ~ (all_22_1 = e21) & ~ % 61.27/9.73 | | | (all_22_12 = e23)) | (all_22_0 = e22 & all_22_15 = e23 & ~ % 61.27/9.73 | | | (all_22_2 = e20) & ~ (all_22_12 = e23)) | (all_22_1 = e21 & % 61.27/9.73 | | | all_22_12 = e23 & ~ (all_22_0 = e22) & ~ (all_22_14 = e23)) | % 61.27/9.73 | | | (all_22_1 = e21 & all_22_15 = e23 & ~ (all_22_2 = e20) & ~ % 61.27/9.73 | | | (all_22_14 = e23)) | (all_22_2 = e20 & all_22_12 = e23 & ~ % 61.27/9.73 | | | (all_22_0 = e22) & ~ (all_22_15 = e23)) | (all_22_2 = e20 & % 61.27/9.73 | | | all_22_14 = e23 & ~ (all_22_1 = e21) & ~ (all_22_15 = e23)) % 61.27/9.73 | | | % 61.27/9.73 | | | BETA: splitting (22) gives: % 61.27/9.73 | | | % 61.27/9.73 | | | Case 1: % 61.27/9.73 | | | | % 61.27/9.73 | | | | (23) (all_22_0 = e22 & all_22_14 = e23 & ~ (all_22_1 = e21) & ~ % 61.27/9.73 | | | | (all_22_12 = e23)) | (all_22_0 = e22 & all_22_15 = e23 & ~ % 61.27/9.73 | | | | (all_22_2 = e20) & ~ (all_22_12 = e23)) | (all_22_1 = e21 & % 61.27/9.73 | | | | all_22_12 = e23 & ~ (all_22_0 = e22) & ~ (all_22_14 = e23)) % 61.27/9.73 | | | | % 61.27/9.73 | | | | BETA: splitting (23) gives: % 61.27/9.73 | | | | % 61.27/9.73 | | | | Case 1: % 61.27/9.73 | | | | | % 61.27/9.73 | | | | | (24) all_22_0 = e22 & all_22_14 = e23 & ~ (all_22_1 = e21) & ~ % 61.27/9.73 | | | | | (all_22_12 = e23) % 61.27/9.73 | | | | | % 61.27/9.73 | | | | | ALPHA: (24) implies: % 61.27/9.73 | | | | | (25) ~ (all_22_1 = e21) % 61.27/9.73 | | | | | % 61.27/9.73 | | | | | REDUCE: (9), (25) imply: % 61.27/9.73 | | | | | (26) $false % 61.27/9.73 | | | | | % 61.27/9.73 | | | | | CLOSE: (26) is inconsistent. % 61.27/9.73 | | | | | % 61.27/9.73 | | | | Case 2: % 61.27/9.73 | | | | | % 61.27/9.73 | | | | | (27) (all_22_0 = e22 & all_22_15 = e23 & ~ (all_22_2 = e20) & ~ % 61.27/9.73 | | | | | (all_22_12 = e23)) | (all_22_1 = e21 & all_22_12 = e23 & ~ % 61.27/9.73 | | | | | (all_22_0 = e22) & ~ (all_22_14 = e23)) % 61.27/9.73 | | | | | % 61.27/9.73 | | | | | BETA: splitting (27) gives: % 61.27/9.73 | | | | | % 61.27/9.73 | | | | | Case 1: % 61.27/9.73 | | | | | | % 61.27/9.73 | | | | | | (28) all_22_0 = e22 & all_22_15 = e23 & ~ (all_22_2 = e20) & ~ % 61.27/9.73 | | | | | | (all_22_12 = e23) % 61.27/9.73 | | | | | | % 61.27/9.73 | | | | | | REF_CLOSE: (8), (20), (28) are inconsistent by sub-proof #161. % 61.27/9.73 | | | | | | % 61.27/9.73 | | | | | Case 2: % 61.27/9.73 | | | | | | % 61.27/9.73 | | | | | | (29) all_22_1 = e21 & all_22_12 = e23 & ~ (all_22_0 = e22) & ~ % 61.27/9.73 | | | | | | (all_22_14 = e23) % 61.27/9.73 | | | | | | % 61.27/9.73 | | | | | | ALPHA: (29) implies: % 61.27/9.73 | | | | | | (30) all_22_12 = e23 % 61.27/9.73 | | | | | | % 61.27/9.73 | | | | | | REF_CLOSE: (1), (6), (30) are inconsistent by sub-proof #160. % 61.27/9.73 | | | | | | % 61.27/9.73 | | | | | End of split % 61.27/9.73 | | | | | % 61.27/9.73 | | | | End of split % 61.27/9.73 | | | | % 61.27/9.73 | | | Case 2: % 61.27/9.73 | | | | % 61.27/9.73 | | | | (31) (all_22_1 = e21 & all_22_15 = e23 & ~ (all_22_2 = e20) & ~ % 61.27/9.73 | | | | (all_22_14 = e23)) | (all_22_2 = e20 & all_22_12 = e23 & ~ % 61.27/9.73 | | | | (all_22_0 = e22) & ~ (all_22_15 = e23)) | (all_22_2 = e20 & % 61.27/9.73 | | | | all_22_14 = e23 & ~ (all_22_1 = e21) & ~ (all_22_15 = e23)) % 61.27/9.73 | | | | % 61.27/9.73 | | | | BETA: splitting (31) gives: % 61.27/9.73 | | | | % 61.27/9.73 | | | | Case 1: % 61.27/9.73 | | | | | % 61.27/9.73 | | | | | (32) all_22_1 = e21 & all_22_15 = e23 & ~ (all_22_2 = e20) & ~ % 61.27/9.73 | | | | | (all_22_14 = e23) % 61.27/9.73 | | | | | % 61.27/9.73 | | | | | REF_CLOSE: (8), (20), (32) are inconsistent by sub-proof #159. % 61.27/9.73 | | | | | % 61.27/9.73 | | | | Case 2: % 61.27/9.73 | | | | | % 61.27/9.73 | | | | | (33) (all_22_2 = e20 & all_22_12 = e23 & ~ (all_22_0 = e22) & ~ % 61.27/9.73 | | | | | (all_22_15 = e23)) | (all_22_2 = e20 & all_22_14 = e23 & ~ % 61.27/9.73 | | | | | (all_22_1 = e21) & ~ (all_22_15 = e23)) % 61.27/9.73 | | | | | % 61.27/9.73 | | | | | BETA: splitting (33) gives: % 61.27/9.73 | | | | | % 61.27/9.73 | | | | | Case 1: % 61.27/9.73 | | | | | | % 61.27/9.73 | | | | | | (34) all_22_2 = e20 & all_22_12 = e23 & ~ (all_22_0 = e22) & ~ % 61.27/9.73 | | | | | | (all_22_15 = e23) % 61.27/9.73 | | | | | | % 61.27/9.73 | | | | | | ALPHA: (34) implies: % 61.27/9.73 | | | | | | (35) all_22_12 = e23 % 61.27/9.73 | | | | | | % 61.27/9.73 | | | | | | REF_CLOSE: (1), (6), (35) are inconsistent by sub-proof #160. % 61.27/9.73 | | | | | | % 61.27/9.73 | | | | | Case 2: % 61.27/9.73 | | | | | | % 61.27/9.73 | | | | | | (36) all_22_2 = e20 & all_22_14 = e23 & ~ (all_22_1 = e21) & ~ % 61.27/9.73 | | | | | | (all_22_15 = e23) % 61.27/9.73 | | | | | | % 61.27/9.73 | | | | | | ALPHA: (36) implies: % 61.27/9.73 | | | | | | (37) ~ (all_22_1 = e21) % 61.27/9.73 | | | | | | % 61.27/9.73 | | | | | | REDUCE: (9), (37) imply: % 61.27/9.73 | | | | | | (38) $false % 61.27/9.73 | | | | | | % 61.27/9.73 | | | | | | CLOSE: (38) is inconsistent. % 61.27/9.73 | | | | | | % 61.27/9.73 | | | | | End of split % 61.27/9.73 | | | | | % 61.27/9.73 | | | | End of split % 61.27/9.73 | | | | % 61.27/9.73 | | | End of split % 61.27/9.73 | | | % 61.27/9.73 | | Case 2: % 61.27/9.73 | | | % 61.27/9.73 | | | (39) (all_22_3 = e23 & all_22_14 = e22 & ~ (all_22_4 = e21) & ~ % 61.27/9.73 | | | (all_22_10 = e22)) | (all_22_3 = e23 & all_22_15 = e22 & ~ % 61.27/9.73 | | | (all_22_5 = e20) & ~ (all_22_10 = e22)) | (all_22_4 = e21 & % 61.27/9.73 | | | all_22_10 = e22 & ~ (all_22_3 = e23) & ~ (all_22_14 = e22)) | % 61.27/9.73 | | | (all_22_4 = e21 & all_22_15 = e22 & ~ (all_22_5 = e20) & ~ % 61.27/9.73 | | | (all_22_14 = e22)) | (all_22_5 = e20 & all_22_10 = e22 & ~ % 61.27/9.73 | | | (all_22_3 = e23) & ~ (all_22_15 = e22)) | (all_22_5 = e20 & % 61.27/9.73 | | | all_22_14 = e22 & ~ (all_22_4 = e21) & ~ (all_22_15 = e22)) % 61.27/9.73 | | | % 61.27/9.73 | | | BETA: splitting (39) gives: % 61.27/9.73 | | | % 61.27/9.73 | | | Case 1: % 61.27/9.73 | | | | % 61.27/9.73 | | | | (40) (all_22_3 = e23 & all_22_14 = e22 & ~ (all_22_4 = e21) & ~ % 61.27/9.73 | | | | (all_22_10 = e22)) | (all_22_3 = e23 & all_22_15 = e22 & ~ % 61.27/9.73 | | | | (all_22_5 = e20) & ~ (all_22_10 = e22)) | (all_22_4 = e21 & % 61.27/9.73 | | | | all_22_10 = e22 & ~ (all_22_3 = e23) & ~ (all_22_14 = e22)) % 61.27/9.73 | | | | % 61.27/9.73 | | | | BETA: splitting (40) gives: % 61.27/9.73 | | | | % 61.27/9.73 | | | | Case 1: % 61.27/9.73 | | | | | % 61.27/9.73 | | | | | (41) all_22_3 = e23 & all_22_14 = e22 & ~ (all_22_4 = e21) & ~ % 61.27/9.73 | | | | | (all_22_10 = e22) % 61.27/9.73 | | | | | % 61.27/9.73 | | | | | ALPHA: (41) implies: % 61.27/9.73 | | | | | (42) all_22_14 = e22 % 61.27/9.73 | | | | | (43) all_22_3 = e23 % 61.27/9.73 | | | | | % 61.27/9.73 | | | | | COMBINE_EQS: (12), (43) imply: % 61.27/9.73 | | | | | (44) e23 = e20 % 61.27/9.73 | | | | | % 61.27/9.73 | | | | | SIMP: (44) implies: % 61.27/9.73 | | | | | (45) e23 = e20 % 61.27/9.73 | | | | | % 61.27/9.73 | | | | | COMBINE_EQS: (19), (42) imply: % 61.27/9.73 | | | | | (46) e23 = e22 % 61.27/9.73 | | | | | % 61.27/9.73 | | | | | SIMP: (46) implies: % 61.27/9.73 | | | | | (47) e23 = e22 % 61.27/9.73 | | | | | % 61.27/9.73 | | | | | REF_CLOSE: (11), (45), (47) are inconsistent by sub-proof #158. % 61.27/9.73 | | | | | % 61.27/9.73 | | | | Case 2: % 61.27/9.73 | | | | | % 61.27/9.73 | | | | | (48) (all_22_3 = e23 & all_22_15 = e22 & ~ (all_22_5 = e20) & ~ % 61.27/9.73 | | | | | (all_22_10 = e22)) | (all_22_4 = e21 & all_22_10 = e22 & ~ % 61.27/9.73 | | | | | (all_22_3 = e23) & ~ (all_22_14 = e22)) % 61.27/9.73 | | | | | % 61.27/9.73 | | | | | BETA: splitting (48) gives: % 61.27/9.73 | | | | | % 61.27/9.73 | | | | | Case 1: % 61.27/9.73 | | | | | | % 61.27/9.73 | | | | | | (49) all_22_3 = e23 & all_22_15 = e22 & ~ (all_22_5 = e20) & ~ % 61.27/9.73 | | | | | | (all_22_10 = e22) % 61.27/9.73 | | | | | | % 61.27/9.73 | | | | | | REF_CLOSE: (8), (15), (49) are inconsistent by sub-proof #157. % 61.27/9.73 | | | | | | % 61.27/9.73 | | | | | Case 2: % 61.27/9.73 | | | | | | % 61.27/9.73 | | | | | | (50) all_22_4 = e21 & all_22_10 = e22 & ~ (all_22_3 = e23) & ~ % 61.27/9.73 | | | | | | (all_22_14 = e22) % 61.27/9.73 | | | | | | % 61.27/9.73 | | | | | | ALPHA: (50) implies: % 61.27/9.73 | | | | | | (51) all_22_10 = e22 % 61.27/9.73 | | | | | | % 61.27/9.73 | | | | | | COMBINE_EQS: (16), (51) imply: % 61.27/9.73 | | | | | | (52) e23 = e22 % 61.27/9.73 | | | | | | % 61.27/9.73 | | | | | | REDUCE: (4), (52) imply: % 61.27/9.73 | | | | | | (53) $false % 61.27/9.73 | | | | | | % 61.27/9.73 | | | | | | CLOSE: (53) is inconsistent. % 61.27/9.73 | | | | | | % 61.27/9.73 | | | | | End of split % 61.27/9.73 | | | | | % 61.27/9.73 | | | | End of split % 61.27/9.73 | | | | % 61.27/9.73 | | | Case 2: % 61.27/9.73 | | | | % 61.27/9.73 | | | | (54) (all_22_4 = e21 & all_22_15 = e22 & ~ (all_22_5 = e20) & ~ % 61.27/9.73 | | | | (all_22_14 = e22)) | (all_22_5 = e20 & all_22_10 = e22 & ~ % 61.27/9.73 | | | | (all_22_3 = e23) & ~ (all_22_15 = e22)) | (all_22_5 = e20 & % 61.27/9.73 | | | | all_22_14 = e22 & ~ (all_22_4 = e21) & ~ (all_22_15 = e22)) % 61.27/9.73 | | | | % 61.27/9.73 | | | | BETA: splitting (54) gives: % 61.27/9.73 | | | | % 61.27/9.73 | | | | Case 1: % 61.27/9.73 | | | | | % 61.27/9.73 | | | | | (55) all_22_4 = e21 & all_22_15 = e22 & ~ (all_22_5 = e20) & ~ % 61.27/9.73 | | | | | (all_22_14 = e22) % 61.27/9.73 | | | | | % 61.27/9.73 | | | | | REF_CLOSE: (8), (15), (55) are inconsistent by sub-proof #156. % 61.27/9.73 | | | | | % 61.27/9.73 | | | | Case 2: % 61.27/9.73 | | | | | % 61.27/9.73 | | | | | (56) (all_22_5 = e20 & all_22_10 = e22 & ~ (all_22_3 = e23) & ~ % 61.27/9.73 | | | | | (all_22_15 = e22)) | (all_22_5 = e20 & all_22_14 = e22 & ~ % 61.27/9.73 | | | | | (all_22_4 = e21) & ~ (all_22_15 = e22)) % 61.27/9.73 | | | | | % 61.27/9.73 | | | | | BETA: splitting (56) gives: % 61.27/9.73 | | | | | % 61.27/9.73 | | | | | Case 1: % 61.27/9.73 | | | | | | % 61.27/9.73 | | | | | | (57) all_22_5 = e20 & all_22_10 = e22 & ~ (all_22_3 = e23) & ~ % 61.27/9.73 | | | | | | (all_22_15 = e22) % 61.27/9.73 | | | | | | % 61.27/9.73 | | | | | | ALPHA: (57) implies: % 61.27/9.73 | | | | | | (58) all_22_10 = e22 % 61.27/9.73 | | | | | | (59) all_22_5 = e20 % 61.27/9.73 | | | | | | % 61.27/9.73 | | | | | | COMBINE_EQS: (7), (59) imply: % 61.27/9.73 | | | | | | (60) e23 = e20 % 61.27/9.73 | | | | | | % 61.27/9.73 | | | | | | SIMP: (60) implies: % 61.27/9.73 | | | | | | (61) e23 = e20 % 61.27/9.73 | | | | | | % 61.27/9.73 | | | | | | REF_CLOSE: (11), (16), (58), (61) are inconsistent by sub-proof % 61.27/9.73 | | | | | | #155. % 61.27/9.73 | | | | | | % 61.27/9.73 | | | | | Case 2: % 61.27/9.73 | | | | | | % 61.27/9.73 | | | | | | (62) all_22_5 = e20 & all_22_14 = e22 & ~ (all_22_4 = e21) & ~ % 61.27/9.73 | | | | | | (all_22_15 = e22) % 61.27/9.73 | | | | | | % 61.27/9.73 | | | | | | REF_CLOSE: (7), (11), (19), (62) are inconsistent by sub-proof #153. % 61.27/9.73 | | | | | | % 61.27/9.73 | | | | | End of split % 61.27/9.73 | | | | | % 61.27/9.73 | | | | End of split % 61.27/9.73 | | | | % 61.27/9.73 | | | End of split % 61.27/9.73 | | | % 61.27/9.73 | | End of split % 61.27/9.73 | | % 61.27/9.73 | Case 2: % 61.27/9.73 | | % 61.27/9.73 | | (63) (all_22_6 = e23 & all_22_12 = e21 & ~ (all_22_7 = e22) & ~ % 61.27/9.73 | | (all_22_10 = e21)) | (all_22_6 = e23 & all_22_15 = e21 & ~ % 61.27/9.73 | | (all_22_8 = e20) & ~ (all_22_10 = e21)) | (all_22_7 = e22 & % 61.27/9.73 | | all_22_10 = e21 & ~ (all_22_6 = e23) & ~ (all_22_12 = e21)) | % 61.27/9.73 | | (all_22_7 = e22 & all_22_15 = e21 & ~ (all_22_8 = e20) & ~ % 61.27/9.73 | | (all_22_12 = e21)) | (all_22_8 = e20 & all_22_10 = e21 & ~ % 61.27/9.73 | | (all_22_6 = e23) & ~ (all_22_15 = e21)) | (all_22_8 = e20 & % 61.27/9.73 | | all_22_12 = e21 & ~ (all_22_7 = e22) & ~ (all_22_15 = e21)) | % 61.27/9.73 | | (all_22_9 = e23 & all_22_12 = e20 & ~ (all_22_10 = e20) & ~ % 61.27/9.73 | | (all_22_11 = e22)) | (all_22_9 = e23 & all_22_14 = e20 & ~ % 61.27/9.73 | | (all_22_10 = e20) & ~ (all_22_13 = e21)) | (all_22_10 = e20 & % 61.27/9.73 | | all_22_11 = e22 & ~ (all_22_9 = e23) & ~ (all_22_12 = e20)) | % 61.27/9.73 | | (all_22_10 = e20 & all_22_13 = e21 & ~ (all_22_9 = e23) & ~ % 61.27/9.73 | | (all_22_14 = e20)) | (all_22_11 = e22 & all_22_14 = e20 & ~ % 61.27/9.73 | | (all_22_12 = e20) & ~ (all_22_13 = e21)) | (all_22_12 = e20 & % 61.27/9.73 | | all_22_13 = e21 & ~ (all_22_11 = e22) & ~ (all_22_14 = e20)) % 61.27/9.73 | | % 61.27/9.73 | | BETA: splitting (63) gives: % 61.27/9.73 | | % 61.27/9.73 | | Case 1: % 61.27/9.73 | | | % 61.27/9.73 | | | (64) (all_22_6 = e23 & all_22_12 = e21 & ~ (all_22_7 = e22) & ~ % 61.27/9.73 | | | (all_22_10 = e21)) | (all_22_6 = e23 & all_22_15 = e21 & ~ % 61.27/9.73 | | | (all_22_8 = e20) & ~ (all_22_10 = e21)) | (all_22_7 = e22 & % 61.27/9.73 | | | all_22_10 = e21 & ~ (all_22_6 = e23) & ~ (all_22_12 = e21)) | % 61.27/9.73 | | | (all_22_7 = e22 & all_22_15 = e21 & ~ (all_22_8 = e20) & ~ % 61.27/9.73 | | | (all_22_12 = e21)) | (all_22_8 = e20 & all_22_10 = e21 & ~ % 61.27/9.73 | | | (all_22_6 = e23) & ~ (all_22_15 = e21)) | (all_22_8 = e20 & % 61.27/9.73 | | | all_22_12 = e21 & ~ (all_22_7 = e22) & ~ (all_22_15 = e21)) % 61.27/9.73 | | | % 61.27/9.73 | | | BETA: splitting (64) gives: % 61.27/9.73 | | | % 61.27/9.73 | | | Case 1: % 61.27/9.73 | | | | % 61.27/9.73 | | | | (65) (all_22_6 = e23 & all_22_12 = e21 & ~ (all_22_7 = e22) & ~ % 61.27/9.73 | | | | (all_22_10 = e21)) | (all_22_6 = e23 & all_22_15 = e21 & ~ % 61.27/9.73 | | | | (all_22_8 = e20) & ~ (all_22_10 = e21)) | (all_22_7 = e22 & % 61.27/9.73 | | | | all_22_10 = e21 & ~ (all_22_6 = e23) & ~ (all_22_12 = e21)) % 61.27/9.73 | | | | % 61.27/9.73 | | | | BETA: splitting (65) gives: % 61.27/9.73 | | | | % 61.27/9.73 | | | | Case 1: % 61.27/9.73 | | | | | % 61.27/9.73 | | | | | (66) all_22_6 = e23 & all_22_12 = e21 & ~ (all_22_7 = e22) & ~ % 61.27/9.73 | | | | | (all_22_10 = e21) % 61.27/9.73 | | | | | % 61.27/9.73 | | | | | ALPHA: (66) implies: % 61.27/9.73 | | | | | (67) all_22_6 = e23 % 61.27/9.73 | | | | | % 61.27/9.73 | | | | | COMBINE_EQS: (13), (67) imply: % 61.27/9.73 | | | | | (68) e23 = e21 % 61.27/9.73 | | | | | % 61.27/9.73 | | | | | REDUCE: (20), (68) imply: % 61.27/9.73 | | | | | (69) $false % 61.27/9.73 | | | | | % 61.27/9.73 | | | | | CLOSE: (69) is inconsistent. % 61.27/9.73 | | | | | % 61.27/9.73 | | | | Case 2: % 61.27/9.73 | | | | | % 61.27/9.73 | | | | | (70) (all_22_6 = e23 & all_22_15 = e21 & ~ (all_22_8 = e20) & ~ % 61.27/9.73 | | | | | (all_22_10 = e21)) | (all_22_7 = e22 & all_22_10 = e21 & ~ % 61.27/9.73 | | | | | (all_22_6 = e23) & ~ (all_22_12 = e21)) % 61.27/9.73 | | | | | % 61.27/9.73 | | | | | REF_CLOSE: (5), (11), (13), (20), (70) are inconsistent by sub-proof % 61.27/9.73 | | | | | #151. % 61.27/9.73 | | | | | % 61.27/9.73 | | | | End of split % 61.27/9.73 | | | | % 61.27/9.73 | | | Case 2: % 61.27/9.73 | | | | % 61.27/9.73 | | | | (71) (all_22_7 = e22 & all_22_15 = e21 & ~ (all_22_8 = e20) & ~ % 61.27/9.73 | | | | (all_22_12 = e21)) | (all_22_8 = e20 & all_22_10 = e21 & ~ % 61.27/9.73 | | | | (all_22_6 = e23) & ~ (all_22_15 = e21)) | (all_22_8 = e20 & % 61.27/9.73 | | | | all_22_12 = e21 & ~ (all_22_7 = e22) & ~ (all_22_15 = e21)) % 61.27/9.73 | | | | % 61.27/9.73 | | | | BETA: splitting (71) gives: % 61.27/9.73 | | | | % 61.27/9.73 | | | | Case 1: % 61.27/9.73 | | | | | % 61.27/9.73 | | | | | (72) all_22_7 = e22 & all_22_15 = e21 & ~ (all_22_8 = e20) & ~ % 61.27/9.73 | | | | | (all_22_12 = e21) % 61.27/9.73 | | | | | % 61.27/9.73 | | | | | ALPHA: (72) implies: % 61.27/9.73 | | | | | (73) all_22_7 = e22 % 61.27/9.73 | | | | | % 61.27/9.73 | | | | | REF_CLOSE: (5), (11), (73) are inconsistent by sub-proof #152. % 61.27/9.73 | | | | | % 61.27/9.73 | | | | Case 2: % 61.27/9.73 | | | | | % 61.27/9.73 | | | | | (74) (all_22_8 = e20 & all_22_10 = e21 & ~ (all_22_6 = e23) & ~ % 61.27/9.73 | | | | | (all_22_15 = e21)) | (all_22_8 = e20 & all_22_12 = e21 & ~ % 61.27/9.73 | | | | | (all_22_7 = e22) & ~ (all_22_15 = e21)) % 61.27/9.73 | | | | | % 61.27/9.73 | | | | | BETA: splitting (74) gives: % 61.27/9.73 | | | | | % 61.27/9.73 | | | | | Case 1: % 61.27/9.73 | | | | | | % 61.27/9.73 | | | | | | (75) all_22_8 = e20 & all_22_10 = e21 & ~ (all_22_6 = e23) & ~ % 61.27/9.73 | | | | | | (all_22_15 = e21) % 61.27/9.73 | | | | | | % 61.27/9.73 | | | | | | REF_CLOSE: (11), (18), (75) are inconsistent by sub-proof #150. % 61.27/9.73 | | | | | | % 61.27/9.73 | | | | | Case 2: % 61.27/9.73 | | | | | | % 61.27/9.73 | | | | | | (76) all_22_8 = e20 & all_22_12 = e21 & ~ (all_22_7 = e22) & ~ % 61.27/9.73 | | | | | | (all_22_15 = e21) % 61.27/9.73 | | | | | | % 61.27/9.73 | | | | | | ALPHA: (76) implies: % 61.27/9.73 | | | | | | (77) all_22_8 = e20 % 61.27/9.73 | | | | | | % 61.27/9.73 | | | | | | COMBINE_EQS: (18), (77) imply: % 61.27/9.73 | | | | | | (78) e22 = e20 % 61.27/9.73 | | | | | | % 61.27/9.73 | | | | | | REDUCE: (11), (78) imply: % 61.27/9.73 | | | | | | (79) $false % 61.27/9.73 | | | | | | % 61.27/9.73 | | | | | | CLOSE: (79) is inconsistent. % 61.27/9.73 | | | | | | % 61.27/9.73 | | | | | End of split % 61.27/9.73 | | | | | % 61.27/9.73 | | | | End of split % 61.27/9.73 | | | | % 61.27/9.73 | | | End of split % 61.27/9.73 | | | % 61.27/9.73 | | Case 2: % 61.27/9.73 | | | % 61.27/9.74 | | | (80) (all_22_9 = e23 & all_22_12 = e20 & ~ (all_22_10 = e20) & ~ % 61.27/9.74 | | | (all_22_11 = e22)) | (all_22_9 = e23 & all_22_14 = e20 & ~ % 61.27/9.74 | | | (all_22_10 = e20) & ~ (all_22_13 = e21)) | (all_22_10 = e20 & % 61.27/9.74 | | | all_22_11 = e22 & ~ (all_22_9 = e23) & ~ (all_22_12 = e20)) | % 61.27/9.74 | | | (all_22_10 = e20 & all_22_13 = e21 & ~ (all_22_9 = e23) & ~ % 61.27/9.74 | | | (all_22_14 = e20)) | (all_22_11 = e22 & all_22_14 = e20 & ~ % 61.27/9.74 | | | (all_22_12 = e20) & ~ (all_22_13 = e21)) | (all_22_12 = e20 & % 61.27/9.74 | | | all_22_13 = e21 & ~ (all_22_11 = e22) & ~ (all_22_14 = e20)) % 61.27/9.74 | | | % 61.27/9.74 | | | BETA: splitting (80) gives: % 61.27/9.74 | | | % 61.27/9.74 | | | Case 1: % 61.27/9.74 | | | | % 61.27/9.74 | | | | (81) (all_22_9 = e23 & all_22_12 = e20 & ~ (all_22_10 = e20) & ~ % 61.27/9.74 | | | | (all_22_11 = e22)) | (all_22_9 = e23 & all_22_14 = e20 & ~ % 61.27/9.74 | | | | (all_22_10 = e20) & ~ (all_22_13 = e21)) | (all_22_10 = e20 & % 61.27/9.74 | | | | all_22_11 = e22 & ~ (all_22_9 = e23) & ~ (all_22_12 = e20)) % 61.27/9.74 | | | | % 61.27/9.74 | | | | BETA: splitting (81) gives: % 61.27/9.74 | | | | % 61.27/9.74 | | | | Case 1: % 61.27/9.74 | | | | | % 61.27/9.74 | | | | | (82) all_22_9 = e23 & all_22_12 = e20 & ~ (all_22_10 = e20) & ~ % 61.27/9.74 | | | | | (all_22_11 = e22) % 61.27/9.74 | | | | | % 61.27/9.74 | | | | | ALPHA: (82) implies: % 61.27/9.74 | | | | | (83) all_22_9 = e23 % 61.27/9.74 | | | | | % 61.27/9.74 | | | | | REF_CLOSE: (4), (17), (83) are inconsistent by sub-proof #149. % 61.27/9.74 | | | | | % 61.27/9.74 | | | | Case 2: % 61.27/9.74 | | | | | % 61.27/9.74 | | | | | (84) (all_22_9 = e23 & all_22_14 = e20 & ~ (all_22_10 = e20) & ~ % 61.27/9.74 | | | | | (all_22_13 = e21)) | (all_22_10 = e20 & all_22_11 = e22 & ~ % 61.27/9.74 | | | | | (all_22_9 = e23) & ~ (all_22_12 = e20)) % 61.27/9.74 | | | | | % 61.27/9.74 | | | | | BETA: splitting (84) gives: % 61.27/9.74 | | | | | % 61.27/9.74 | | | | | Case 1: % 61.27/9.74 | | | | | | % 61.27/9.74 | | | | | | (85) all_22_9 = e23 & all_22_14 = e20 & ~ (all_22_10 = e20) & ~ % 61.27/9.74 | | | | | | (all_22_13 = e21) % 61.27/9.74 | | | | | | % 61.27/9.74 | | | | | | ALPHA: (85) implies: % 61.27/9.74 | | | | | | (86) all_22_14 = e20 % 61.27/9.74 | | | | | | (87) all_22_9 = e23 % 61.27/9.74 | | | | | | % 61.27/9.74 | | | | | | COMBINE_EQS: (17), (87) imply: % 61.27/9.74 | | | | | | (88) e23 = e22 % 61.27/9.74 | | | | | | % 61.27/9.74 | | | | | | REF_CLOSE: (11), (19), (86), (88) are inconsistent by sub-proof % 61.27/9.74 | | | | | | #148. % 61.27/9.74 | | | | | | % 61.27/9.74 | | | | | Case 2: % 61.27/9.74 | | | | | | % 61.27/9.74 | | | | | | (89) all_22_10 = e20 & all_22_11 = e22 & ~ (all_22_9 = e23) & ~ % 61.27/9.74 | | | | | | (all_22_12 = e20) % 61.27/9.74 | | | | | | % 61.27/9.74 | | | | | | REF_CLOSE: (10), (11), (16), (89) are inconsistent by sub-proof % 61.27/9.74 | | | | | | #147. % 61.27/9.74 | | | | | | % 61.27/9.74 | | | | | End of split % 61.27/9.74 | | | | | % 61.27/9.74 | | | | End of split % 61.27/9.74 | | | | % 61.27/9.74 | | | Case 2: % 61.27/9.74 | | | | % 61.27/9.74 | | | | (90) (all_22_10 = e20 & all_22_13 = e21 & ~ (all_22_9 = e23) & ~ % 61.27/9.74 | | | | (all_22_14 = e20)) | (all_22_11 = e22 & all_22_14 = e20 & ~ % 61.27/9.74 | | | | (all_22_12 = e20) & ~ (all_22_13 = e21)) | (all_22_12 = e20 & % 61.27/9.74 | | | | all_22_13 = e21 & ~ (all_22_11 = e22) & ~ (all_22_14 = e20)) % 61.27/9.74 | | | | % 61.27/9.74 | | | | BETA: splitting (90) gives: % 61.27/9.74 | | | | % 61.27/9.74 | | | | Case 1: % 61.27/9.74 | | | | | % 61.27/9.74 | | | | | (91) all_22_10 = e20 & all_22_13 = e21 & ~ (all_22_9 = e23) & ~ % 61.27/9.74 | | | | | (all_22_14 = e20) % 61.27/9.74 | | | | | % 61.27/9.74 | | | | | ALPHA: (91) implies: % 61.27/9.74 | | | | | (92) all_22_13 = e21 % 61.27/9.74 | | | | | % 61.27/9.74 | | | | | REF_CLOSE: (3), (14), (92) are inconsistent by sub-proof #146. % 61.27/9.74 | | | | | % 61.27/9.74 | | | | Case 2: % 61.27/9.74 | | | | | % 61.27/9.74 | | | | | (93) (all_22_11 = e22 & all_22_14 = e20 & ~ (all_22_12 = e20) & ~ % 61.27/9.74 | | | | | (all_22_13 = e21)) | (all_22_12 = e20 & all_22_13 = e21 & ~ % 61.27/9.74 | | | | | (all_22_11 = e22) & ~ (all_22_14 = e20)) % 61.27/9.74 | | | | | % 61.27/9.74 | | | | | BETA: splitting (93) gives: % 61.27/9.74 | | | | | % 61.27/9.74 | | | | | Case 1: % 61.27/9.74 | | | | | | % 61.27/9.74 | | | | | | (94) all_22_11 = e22 & all_22_14 = e20 & ~ (all_22_12 = e20) & % 61.27/9.74 | | | | | | ~ (all_22_13 = e21) % 61.27/9.74 | | | | | | % 61.27/9.74 | | | | | | ALPHA: (94) implies: % 61.27/9.74 | | | | | | (95) all_22_14 = e20 % 61.27/9.74 | | | | | | (96) all_22_11 = e22 % 61.27/9.74 | | | | | | % 61.27/9.74 | | | | | | COMBINE_EQS: (10), (96) imply: % 61.27/9.74 | | | | | | (97) e23 = e22 % 61.27/9.74 | | | | | | % 61.27/9.74 | | | | | | REF_CLOSE: (11), (19), (95), (97) are inconsistent by sub-proof % 61.27/9.74 | | | | | | #148. % 61.27/9.74 | | | | | | % 61.27/9.74 | | | | | Case 2: % 61.27/9.74 | | | | | | % 61.27/9.74 | | | | | | (98) all_22_12 = e20 & all_22_13 = e21 & ~ (all_22_11 = e22) & % 61.27/9.74 | | | | | | ~ (all_22_14 = e20) % 61.27/9.74 | | | | | | % 61.27/9.74 | | | | | | ALPHA: (98) implies: % 61.27/9.74 | | | | | | (99) all_22_13 = e21 % 61.27/9.74 | | | | | | % 61.27/9.74 | | | | | | REF_CLOSE: (3), (14), (99) are inconsistent by sub-proof #146. % 61.27/9.74 | | | | | | % 61.27/9.74 | | | | | End of split % 61.27/9.74 | | | | | % 61.27/9.74 | | | | End of split % 61.27/9.74 | | | | % 61.27/9.74 | | | End of split % 61.27/9.74 | | | % 61.27/9.74 | | End of split % 61.27/9.74 | | % 61.27/9.74 | End of split % 61.27/9.74 | % 61.27/9.74 End of proof % 61.27/9.74 % 61.27/9.74 Sub-proof #146 shows that the following formulas are inconsistent: % 61.27/9.74 ---------------------------------------------------------------- % 61.27/9.74 (1) all_22_13 = e21 % 61.27/9.74 (2) all_22_13 = e20 % 61.27/9.74 (3) ~ (e21 = e20) % 61.27/9.74 % 61.27/9.74 Begin of proof % 61.27/9.74 | % 61.27/9.74 | COMBINE_EQS: (1), (2) imply: % 61.27/9.74 | (4) e21 = e20 % 61.27/9.74 | % 61.27/9.74 | SIMP: (4) implies: % 61.27/9.74 | (5) e21 = e20 % 61.27/9.74 | % 61.27/9.74 | REDUCE: (3), (5) imply: % 61.27/9.74 | (6) $false % 61.27/9.74 | % 61.27/9.74 | CLOSE: (6) is inconsistent. % 61.27/9.74 | % 61.27/9.74 End of proof % 61.27/9.74 % 61.27/9.74 Sub-proof #147 shows that the following formulas are inconsistent: % 61.27/9.74 ---------------------------------------------------------------- % 61.27/9.74 (1) all_22_10 = e20 & all_22_11 = e22 & ~ (all_22_9 = e23) & ~ (all_22_12 = % 61.27/9.74 e20) % 61.27/9.74 (2) all_22_10 = e23 % 61.27/9.74 (3) all_22_11 = e23 % 61.27/9.74 (4) ~ (e22 = e20) % 61.27/9.74 % 61.27/9.74 Begin of proof % 61.27/9.74 | % 61.27/9.74 | ALPHA: (1) implies: % 61.27/9.74 | (5) all_22_11 = e22 % 61.27/9.74 | (6) all_22_10 = e20 % 61.27/9.74 | % 61.27/9.74 | COMBINE_EQS: (2), (6) imply: % 61.27/9.74 | (7) e23 = e20 % 61.27/9.74 | % 61.27/9.74 | COMBINE_EQS: (3), (5) imply: % 61.27/9.74 | (8) e23 = e22 % 61.27/9.74 | % 61.27/9.74 | COMBINE_EQS: (7), (8) imply: % 61.27/9.74 | (9) e22 = e20 % 61.27/9.74 | % 61.27/9.74 | REDUCE: (4), (9) imply: % 61.27/9.74 | (10) $false % 61.27/9.74 | % 61.27/9.74 | CLOSE: (10) is inconsistent. % 61.27/9.74 | % 61.27/9.74 End of proof % 61.27/9.74 % 61.27/9.74 Sub-proof #148 shows that the following formulas are inconsistent: % 61.27/9.74 ---------------------------------------------------------------- % 61.27/9.74 (1) e23 = e22 % 61.27/9.74 (2) all_22_14 = e23 % 61.27/9.74 (3) all_22_14 = e20 % 61.27/9.74 (4) ~ (e22 = e20) % 61.27/9.74 % 61.27/9.74 Begin of proof % 61.27/9.74 | % 61.27/9.74 | SIMP: (1) implies: % 61.27/9.74 | (5) e23 = e22 % 61.27/9.74 | % 61.27/9.74 | COMBINE_EQS: (2), (3) imply: % 61.27/9.74 | (6) e23 = e20 % 61.27/9.74 | % 61.27/9.74 | SIMP: (6) implies: % 61.27/9.74 | (7) e23 = e20 % 61.27/9.74 | % 61.27/9.74 | REF_CLOSE: (4), (5), (7) are inconsistent by sub-proof #158. % 61.27/9.74 | % 61.27/9.74 End of proof % 61.27/9.74 % 61.27/9.74 Sub-proof #149 shows that the following formulas are inconsistent: % 61.27/9.74 ---------------------------------------------------------------- % 61.27/9.74 (1) all_22_9 = e23 % 61.27/9.74 (2) all_22_9 = e22 % 61.27/9.74 (3) ~ (e23 = e22) % 61.27/9.74 % 61.27/9.74 Begin of proof % 61.27/9.74 | % 61.27/9.74 | COMBINE_EQS: (1), (2) imply: % 61.27/9.74 | (4) e23 = e22 % 61.27/9.74 | % 61.27/9.74 | SIMP: (4) implies: % 61.27/9.74 | (5) e23 = e22 % 61.27/9.74 | % 61.27/9.74 | REDUCE: (3), (5) imply: % 61.27/9.74 | (6) $false % 61.27/9.74 | % 61.27/9.74 | CLOSE: (6) is inconsistent. % 61.27/9.74 | % 61.27/9.74 End of proof % 61.27/9.74 % 61.27/9.74 Sub-proof #150 shows that the following formulas are inconsistent: % 61.27/9.74 ---------------------------------------------------------------- % 61.27/9.74 (1) all_22_8 = e20 & all_22_10 = e21 & ~ (all_22_6 = e23) & ~ (all_22_15 = % 61.27/9.74 e21) % 61.27/9.74 (2) all_22_8 = e22 % 61.27/9.74 (3) ~ (e22 = e20) % 61.27/9.74 % 61.27/9.74 Begin of proof % 61.27/9.74 | % 61.27/9.74 | ALPHA: (1) implies: % 61.27/9.74 | (4) all_22_8 = e20 % 61.27/9.74 | % 61.27/9.74 | COMBINE_EQS: (2), (4) imply: % 61.27/9.74 | (5) e22 = e20 % 61.27/9.74 | % 61.27/9.74 | REDUCE: (3), (5) imply: % 61.27/9.74 | (6) $false % 61.27/9.74 | % 61.27/9.74 | CLOSE: (6) is inconsistent. % 61.27/9.74 | % 61.27/9.74 End of proof % 61.27/9.74 % 61.27/9.74 Sub-proof #151 shows that the following formulas are inconsistent: % 61.27/9.74 ---------------------------------------------------------------- % 61.27/9.74 (1) all_22_7 = e20 % 61.27/9.74 (2) (all_22_6 = e23 & all_22_15 = e21 & ~ (all_22_8 = e20) & ~ (all_22_10 = % 61.27/9.74 e21)) | (all_22_7 = e22 & all_22_10 = e21 & ~ (all_22_6 = e23) & ~ % 61.27/9.74 (all_22_12 = e21)) % 61.27/9.74 (3) ~ (e22 = e20) % 61.27/9.74 (4) all_22_6 = e21 % 61.27/9.74 (5) ~ (e23 = e21) % 61.27/9.74 % 61.27/9.74 Begin of proof % 61.27/9.74 | % 61.27/9.74 | BETA: splitting (2) gives: % 61.27/9.74 | % 61.27/9.74 | Case 1: % 61.27/9.74 | | % 61.27/9.74 | | (6) all_22_6 = e23 & all_22_15 = e21 & ~ (all_22_8 = e20) & ~ % 61.27/9.74 | | (all_22_10 = e21) % 61.27/9.74 | | % 61.27/9.74 | | ALPHA: (6) implies: % 61.27/9.74 | | (7) all_22_6 = e23 % 61.27/9.74 | | % 61.27/9.74 | | COMBINE_EQS: (4), (7) imply: % 61.27/9.74 | | (8) e23 = e21 % 61.27/9.74 | | % 61.27/9.74 | | REDUCE: (5), (8) imply: % 61.27/9.74 | | (9) $false % 61.27/9.74 | | % 61.27/9.74 | | CLOSE: (9) is inconsistent. % 61.27/9.74 | | % 61.27/9.74 | Case 2: % 61.27/9.74 | | % 61.27/9.74 | | (10) all_22_7 = e22 & all_22_10 = e21 & ~ (all_22_6 = e23) & ~ % 61.27/9.74 | | (all_22_12 = e21) % 61.27/9.74 | | % 61.27/9.74 | | ALPHA: (10) implies: % 61.27/9.74 | | (11) all_22_7 = e22 % 61.27/9.74 | | % 61.27/9.74 | | REF_CLOSE: (1), (3), (11) are inconsistent by sub-proof #152. % 61.27/9.74 | | % 61.27/9.74 | End of split % 61.27/9.74 | % 61.27/9.74 End of proof % 61.27/9.74 % 61.27/9.74 Sub-proof #152 shows that the following formulas are inconsistent: % 61.27/9.74 ---------------------------------------------------------------- % 61.27/9.74 (1) all_22_7 = e22 % 61.27/9.74 (2) all_22_7 = e20 % 61.27/9.74 (3) ~ (e22 = e20) % 61.27/9.74 % 61.27/9.74 Begin of proof % 61.27/9.74 | % 61.27/9.74 | COMBINE_EQS: (1), (2) imply: % 61.27/9.74 | (4) e22 = e20 % 61.27/9.74 | % 61.27/9.74 | SIMP: (4) implies: % 61.27/9.74 | (5) e22 = e20 % 61.27/9.74 | % 61.27/9.74 | REDUCE: (3), (5) imply: % 61.27/9.74 | (6) $false % 61.27/9.74 | % 61.27/9.74 | CLOSE: (6) is inconsistent. % 61.27/9.74 | % 61.27/9.74 End of proof % 61.27/9.74 % 61.27/9.74 Sub-proof #153 shows that the following formulas are inconsistent: % 61.27/9.74 ---------------------------------------------------------------- % 61.27/9.74 (1) all_22_5 = e20 & all_22_14 = e22 & ~ (all_22_4 = e21) & ~ (all_22_15 = % 61.27/9.74 e22) % 61.27/9.74 (2) all_22_5 = e23 % 61.27/9.74 (3) all_22_14 = e23 % 61.27/9.74 (4) ~ (e22 = e20) % 61.27/9.74 % 61.27/9.74 Begin of proof % 61.27/9.74 | % 61.27/9.74 | ALPHA: (1) implies: % 61.27/9.74 | (5) all_22_14 = e22 % 61.27/9.74 | (6) all_22_5 = e20 % 61.27/9.74 | % 61.27/9.74 | COMBINE_EQS: (2), (6) imply: % 61.27/9.74 | (7) e23 = e20 % 61.27/9.74 | % 61.27/9.74 | SIMP: (7) implies: % 61.27/9.74 | (8) e23 = e20 % 61.27/9.74 | % 61.27/9.74 | COMBINE_EQS: (3), (5) imply: % 61.27/9.74 | (9) e23 = e22 % 61.27/9.74 | % 61.27/9.74 | REF_CLOSE: (4), (8), (9) are inconsistent by sub-proof #154. % 61.27/9.74 | % 61.27/9.74 End of proof % 61.27/9.74 % 61.27/9.74 Sub-proof #154 shows that the following formulas are inconsistent: % 61.27/9.74 ---------------------------------------------------------------- % 61.27/9.74 (1) e23 = e22 % 61.27/9.74 (2) e23 = e20 % 61.27/9.74 (3) ~ (e22 = e20) % 61.27/9.74 % 61.27/9.74 Begin of proof % 61.27/9.74 | % 61.27/9.74 | SIMP: (1) implies: % 61.27/9.74 | (4) e23 = e22 % 61.27/9.74 | % 61.27/9.74 | COMBINE_EQS: (2), (4) imply: % 61.27/9.74 | (5) e22 = e20 % 61.27/9.74 | % 61.27/9.74 | REDUCE: (3), (5) imply: % 61.27/9.74 | (6) $false % 61.27/9.74 | % 61.27/9.74 | CLOSE: (6) is inconsistent. % 61.27/9.74 | % 61.27/9.74 End of proof % 61.27/9.74 % 61.27/9.74 Sub-proof #155 shows that the following formulas are inconsistent: % 61.27/9.74 ---------------------------------------------------------------- % 61.27/9.74 (1) all_22_10 = e22 % 61.27/9.74 (2) all_22_10 = e23 % 61.27/9.74 (3) e23 = e20 % 61.27/9.74 (4) ~ (e22 = e20) % 61.27/9.74 % 61.27/9.74 Begin of proof % 61.27/9.74 | % 61.27/9.74 | COMBINE_EQS: (1), (2) imply: % 61.27/9.74 | (5) e23 = e22 % 61.27/9.74 | % 61.27/9.74 | COMBINE_EQS: (3), (5) imply: % 61.27/9.74 | (6) e22 = e20 % 61.27/9.74 | % 61.27/9.74 | REDUCE: (4), (6) imply: % 61.27/9.74 | (7) $false % 61.27/9.74 | % 61.27/9.74 | CLOSE: (7) is inconsistent. % 61.27/9.74 | % 61.27/9.74 End of proof % 61.27/9.74 % 61.27/9.74 Sub-proof #156 shows that the following formulas are inconsistent: % 61.27/9.74 ---------------------------------------------------------------- % 61.27/9.74 (1) all_22_4 = e21 & all_22_15 = e22 & ~ (all_22_5 = e20) & ~ (all_22_14 = % 61.27/9.74 e22) % 61.27/9.74 (2) all_22_15 = e21 % 61.27/9.74 (3) ~ (e22 = e21) % 61.27/9.74 % 61.27/9.74 Begin of proof % 61.27/9.74 | % 61.27/9.74 | ALPHA: (1) implies: % 61.27/9.74 | (4) all_22_15 = e22 % 61.27/9.74 | % 61.27/9.74 | COMBINE_EQS: (2), (4) imply: % 61.27/9.74 | (5) e22 = e21 % 61.27/9.74 | % 61.27/9.74 | REDUCE: (3), (5) imply: % 61.27/9.74 | (6) $false % 61.27/9.74 | % 61.27/9.74 | CLOSE: (6) is inconsistent. % 61.27/9.74 | % 61.27/9.74 End of proof % 61.27/9.74 % 61.27/9.74 Sub-proof #157 shows that the following formulas are inconsistent: % 61.27/9.74 ---------------------------------------------------------------- % 61.27/9.74 (1) all_22_3 = e23 & all_22_15 = e22 & ~ (all_22_5 = e20) & ~ (all_22_10 = % 61.27/9.74 e22) % 61.27/9.74 (2) all_22_15 = e21 % 61.27/9.74 (3) ~ (e22 = e21) % 61.27/9.74 % 61.27/9.74 Begin of proof % 61.27/9.74 | % 61.27/9.74 | ALPHA: (1) implies: % 61.27/9.74 | (4) all_22_15 = e22 % 61.27/9.74 | % 61.27/9.74 | COMBINE_EQS: (2), (4) imply: % 61.27/9.74 | (5) e22 = e21 % 61.27/9.74 | % 61.27/9.74 | REDUCE: (3), (5) imply: % 61.27/9.74 | (6) $false % 61.27/9.74 | % 61.27/9.74 | CLOSE: (6) is inconsistent. % 61.27/9.74 | % 61.27/9.74 End of proof % 61.27/9.74 % 61.27/9.74 Sub-proof #158 shows that the following formulas are inconsistent: % 61.27/9.74 ---------------------------------------------------------------- % 61.27/9.74 (1) e23 = e22 % 61.27/9.74 (2) e23 = e20 % 61.27/9.74 (3) ~ (e22 = e20) % 61.27/9.74 % 61.27/9.74 Begin of proof % 61.27/9.74 | % 61.27/9.74 | COMBINE_EQS: (1), (2) imply: % 61.27/9.74 | (4) e22 = e20 % 61.27/9.74 | % 61.27/9.74 | SIMP: (4) implies: % 61.27/9.74 | (5) e22 = e20 % 61.27/9.74 | % 61.27/9.74 | REDUCE: (3), (5) imply: % 61.27/9.74 | (6) $false % 61.27/9.74 | % 61.27/9.74 | CLOSE: (6) is inconsistent. % 61.27/9.74 | % 61.27/9.74 End of proof % 61.27/9.74 % 61.27/9.74 Sub-proof #159 shows that the following formulas are inconsistent: % 61.27/9.74 ---------------------------------------------------------------- % 61.27/9.74 (1) all_22_1 = e21 & all_22_15 = e23 & ~ (all_22_2 = e20) & ~ (all_22_14 = % 61.27/9.74 e23) % 61.27/9.74 (2) all_22_15 = e21 % 61.27/9.74 (3) ~ (e23 = e21) % 61.27/9.74 % 61.27/9.74 Begin of proof % 61.27/9.74 | % 61.27/9.74 | ALPHA: (1) implies: % 61.27/9.74 | (4) all_22_15 = e23 % 61.27/9.74 | % 61.27/9.74 | COMBINE_EQS: (2), (4) imply: % 61.27/9.74 | (5) e23 = e21 % 61.27/9.74 | % 61.27/9.74 | REDUCE: (3), (5) imply: % 61.27/9.74 | (6) $false % 61.27/9.74 | % 61.27/9.74 | CLOSE: (6) is inconsistent. % 61.27/9.74 | % 61.27/9.74 End of proof % 61.27/9.74 % 61.27/9.74 Sub-proof #160 shows that the following formulas are inconsistent: % 61.27/9.74 ---------------------------------------------------------------- % 61.27/9.74 (1) all_22_12 = all_6_2 % 61.27/9.74 (2) all_22_12 = e23 % 61.27/9.74 (3) ~ (all_6_2 = e23) % 61.27/9.74 % 61.27/9.74 Begin of proof % 61.27/9.74 | % 61.27/9.74 | COMBINE_EQS: (1), (2) imply: % 61.27/9.74 | (4) all_6_2 = e23 % 61.27/9.74 | % 61.27/9.74 | SIMP: (4) implies: % 61.27/9.74 | (5) all_6_2 = e23 % 61.27/9.74 | % 61.27/9.74 | REDUCE: (3), (5) imply: % 61.27/9.74 | (6) $false % 61.27/9.74 | % 61.27/9.74 | CLOSE: (6) is inconsistent. % 61.27/9.74 | % 61.27/9.74 End of proof % 61.27/9.74 % 61.27/9.74 Sub-proof #161 shows that the following formulas are inconsistent: % 61.27/9.74 ---------------------------------------------------------------- % 61.27/9.74 (1) all_22_0 = e22 & all_22_15 = e23 & ~ (all_22_2 = e20) & ~ (all_22_12 = % 61.27/9.74 e23) % 61.27/9.74 (2) all_22_15 = e21 % 61.27/9.74 (3) ~ (e23 = e21) % 61.27/9.74 % 61.27/9.74 Begin of proof % 61.27/9.74 | % 61.27/9.74 | ALPHA: (1) implies: % 61.27/9.74 | (4) all_22_15 = e23 % 61.27/9.74 | % 61.27/9.74 | COMBINE_EQS: (2), (4) imply: % 61.27/9.74 | (5) e23 = e21 % 61.27/9.74 | % 61.27/9.74 | REDUCE: (3), (5) imply: % 61.27/9.74 | (6) $false % 61.27/9.74 | % 61.27/9.74 | CLOSE: (6) is inconsistent. % 61.27/9.74 | % 61.27/9.74 End of proof % 61.27/9.74 % 61.27/9.74 Sub-proof #162 shows that the following formulas are inconsistent: % 61.27/9.74 ---------------------------------------------------------------- % 61.27/9.74 (1) ~ (e21 = e20) % 61.27/9.74 (2) all_26_3 = all_6_2 % 61.27/9.74 (3) all_26_7 = all_14_6 % 61.27/9.74 (4) all_26_13 = e23 % 61.27/9.74 (5) ~ (all_14_6 = e20) % 61.27/9.74 (6) all_26_1 = e20 | all_26_3 = e20 | all_26_7 = e20 | all_26_13 = e20 % 61.27/9.74 (7) all_26_1 = e21 % 61.27/9.74 (8) ~ (all_6_2 = e20) % 61.27/9.74 (9) ~ (e23 = e20) % 61.27/9.74 % 61.27/9.74 Begin of proof % 61.27/9.74 | % 61.27/9.74 | BETA: splitting (6) gives: % 61.27/9.74 | % 61.27/9.74 | Case 1: % 61.27/9.74 | | % 61.27/9.74 | | (10) all_26_1 = e20 % 61.27/9.74 | | % 61.27/9.74 | | REF_CLOSE: (1), (7), (10) are inconsistent by sub-proof #167. % 61.27/9.74 | | % 61.27/9.74 | Case 2: % 61.27/9.74 | | % 61.27/9.74 | | (11) all_26_3 = e20 | all_26_7 = e20 | all_26_13 = e20 % 61.27/9.74 | | % 61.27/9.74 | | REF_CLOSE: (2), (3), (4), (5), (8), (9), (11) are inconsistent by sub-proof % 61.27/9.74 | | #163. % 61.27/9.74 | | % 61.27/9.74 | End of split % 61.27/9.74 | % 61.27/9.74 End of proof % 61.27/9.74 % 61.27/9.74 Sub-proof #163 shows that the following formulas are inconsistent: % 61.27/9.74 ---------------------------------------------------------------- % 61.27/9.74 (1) all_26_3 = all_6_2 % 61.27/9.74 (2) all_26_3 = e20 | all_26_7 = e20 | all_26_13 = e20 % 61.27/9.74 (3) all_26_7 = all_14_6 % 61.27/9.74 (4) all_26_13 = e23 % 61.27/9.74 (5) ~ (all_14_6 = e20) % 61.27/9.74 (6) ~ (all_6_2 = e20) % 61.27/9.74 (7) ~ (e23 = e20) % 61.27/9.74 % 61.27/9.74 Begin of proof % 61.27/9.74 | % 61.27/9.74 | BETA: splitting (2) gives: % 61.27/9.74 | % 61.27/9.74 | Case 1: % 61.27/9.74 | | % 61.27/9.74 | | (8) all_26_3 = e20 % 61.27/9.74 | | % 61.27/9.74 | | REF_CLOSE: (1), (6), (8) are inconsistent by sub-proof #166. % 61.27/9.74 | | % 61.27/9.74 | Case 2: % 61.27/9.74 | | % 61.27/9.74 | | (9) all_26_7 = e20 | all_26_13 = e20 % 61.27/9.74 | | % 61.27/9.74 | | BETA: splitting (9) gives: % 61.27/9.74 | | % 61.27/9.74 | | Case 1: % 61.27/9.74 | | | % 61.27/9.74 | | | (10) all_26_7 = e20 % 61.27/9.74 | | | % 61.27/9.74 | | | REF_CLOSE: (3), (5), (10) are inconsistent by sub-proof #165. % 61.27/9.74 | | | % 61.27/9.74 | | Case 2: % 61.27/9.74 | | | % 61.27/9.74 | | | (11) all_26_13 = e20 % 61.27/9.74 | | | % 61.27/9.74 | | | REF_CLOSE: (4), (7), (11) are inconsistent by sub-proof #164. % 61.27/9.74 | | | % 61.27/9.74 | | End of split % 61.27/9.74 | | % 61.27/9.74 | End of split % 61.27/9.74 | % 61.27/9.74 End of proof % 61.27/9.74 % 61.27/9.74 Sub-proof #164 shows that the following formulas are inconsistent: % 61.27/9.74 ---------------------------------------------------------------- % 61.27/9.74 (1) all_26_13 = e23 % 61.27/9.74 (2) all_26_13 = e20 % 61.27/9.74 (3) ~ (e23 = e20) % 61.27/9.74 % 61.27/9.74 Begin of proof % 61.27/9.74 | % 61.27/9.74 | COMBINE_EQS: (1), (2) imply: % 61.27/9.74 | (4) e23 = e20 % 61.27/9.74 | % 61.27/9.74 | SIMP: (4) implies: % 61.27/9.74 | (5) e23 = e20 % 61.27/9.74 | % 61.27/9.74 | REDUCE: (3), (5) imply: % 61.27/9.74 | (6) $false % 61.27/9.74 | % 61.27/9.74 | CLOSE: (6) is inconsistent. % 61.27/9.74 | % 61.27/9.74 End of proof % 61.27/9.74 % 61.27/9.74 Sub-proof #165 shows that the following formulas are inconsistent: % 61.27/9.74 ---------------------------------------------------------------- % 61.27/9.74 (1) all_26_7 = all_14_6 % 61.27/9.74 (2) all_26_7 = e20 % 61.27/9.74 (3) ~ (all_14_6 = e20) % 61.27/9.74 % 61.27/9.74 Begin of proof % 61.27/9.74 | % 61.27/9.74 | COMBINE_EQS: (1), (2) imply: % 61.27/9.74 | (4) all_14_6 = e20 % 61.27/9.74 | % 61.27/9.74 | SIMP: (4) implies: % 61.27/9.74 | (5) all_14_6 = e20 % 61.27/9.74 | % 61.27/9.74 | REDUCE: (3), (5) imply: % 61.27/9.74 | (6) $false % 61.27/9.74 | % 61.27/9.74 | CLOSE: (6) is inconsistent. % 61.27/9.74 | % 61.27/9.74 End of proof % 61.27/9.74 % 61.27/9.74 Sub-proof #166 shows that the following formulas are inconsistent: % 61.27/9.74 ---------------------------------------------------------------- % 61.27/9.74 (1) all_26_3 = all_6_2 % 61.27/9.74 (2) all_26_3 = e20 % 61.27/9.74 (3) ~ (all_6_2 = e20) % 61.27/9.74 % 61.27/9.74 Begin of proof % 61.27/9.74 | % 61.27/9.74 | COMBINE_EQS: (1), (2) imply: % 61.27/9.74 | (4) all_6_2 = e20 % 61.27/9.74 | % 61.27/9.74 | SIMP: (4) implies: % 61.27/9.74 | (5) all_6_2 = e20 % 61.27/9.74 | % 61.27/9.74 | REDUCE: (3), (5) imply: % 61.27/9.74 | (6) $false % 61.27/9.74 | % 61.27/9.74 | CLOSE: (6) is inconsistent. % 61.27/9.74 | % 61.27/9.74 End of proof % 61.27/9.74 % 61.27/9.74 Sub-proof #167 shows that the following formulas are inconsistent: % 61.27/9.74 ---------------------------------------------------------------- % 61.27/9.74 (1) all_26_1 = e21 % 61.27/9.74 (2) all_26_1 = e20 % 61.27/9.74 (3) ~ (e21 = e20) % 61.27/9.74 % 61.27/9.74 Begin of proof % 61.27/9.74 | % 61.27/9.74 | COMBINE_EQS: (1), (2) imply: % 61.27/9.74 | (4) e21 = e20 % 61.27/9.74 | % 61.27/9.74 | SIMP: (4) implies: % 61.27/9.74 | (5) e21 = e20 % 61.27/9.74 | % 61.27/9.74 | REDUCE: (3), (5) imply: % 61.27/9.74 | (6) $false % 61.27/9.74 | % 61.27/9.74 | CLOSE: (6) is inconsistent. % 61.27/9.74 | % 61.27/9.74 End of proof % 61.27/9.74 % 61.27/9.74 Sub-proof #168 shows that the following formulas are inconsistent: % 61.27/9.74 ---------------------------------------------------------------- % 61.27/9.74 (1) all_18_0 = all_8_2 % 61.27/9.74 (2) all_18_0 = e20 % 61.27/9.74 (3) ~ (all_8_2 = e20) % 61.27/9.74 % 61.27/9.74 Begin of proof % 61.27/9.74 | % 61.27/9.74 | COMBINE_EQS: (1), (2) imply: % 61.27/9.74 | (4) all_8_2 = e20 % 61.27/9.74 | % 61.27/9.74 | SIMP: (4) implies: % 61.27/9.74 | (5) all_8_2 = e20 % 61.27/9.74 | % 61.27/9.74 | REDUCE: (3), (5) imply: % 61.27/9.74 | (6) $false % 61.27/9.74 | % 61.27/9.74 | CLOSE: (6) is inconsistent. % 61.27/9.74 | % 61.27/9.74 End of proof % 61.27/9.74 % 61.27/9.74 Sub-proof #169 shows that the following formulas are inconsistent: % 61.27/9.74 ---------------------------------------------------------------- % 61.27/9.74 (1) all_16_9 = all_12_6 % 61.27/9.74 (2) all_16_9 = e10 % 61.27/9.74 (3) ~ (all_12_6 = e10) % 61.27/9.74 % 61.27/9.74 Begin of proof % 61.27/9.74 | % 61.27/9.74 | COMBINE_EQS: (1), (2) imply: % 61.27/9.74 | (4) all_12_6 = e10 % 61.27/9.74 | % 61.27/9.74 | SIMP: (4) implies: % 61.27/9.74 | (5) all_12_6 = e10 % 61.27/9.74 | % 61.27/9.74 | REDUCE: (3), (5) imply: % 61.27/9.74 | (6) $false % 61.27/9.74 | % 61.27/9.74 | CLOSE: (6) is inconsistent. % 61.27/9.74 | % 61.27/9.74 End of proof % 61.27/9.74 % 61.27/9.74 Sub-proof #170 shows that the following formulas are inconsistent: % 61.27/9.74 ---------------------------------------------------------------- % 61.27/9.74 (1) all_16_1 = all_12_4 % 61.27/9.74 (2) all_16_1 = e12 % 61.27/9.74 (3) ~ (all_12_4 = e12) % 61.27/9.74 % 61.27/9.74 Begin of proof % 61.27/9.74 | % 61.27/9.74 | COMBINE_EQS: (1), (2) imply: % 61.27/9.74 | (4) all_12_4 = e12 % 61.27/9.74 | % 61.27/9.74 | SIMP: (4) implies: % 61.27/9.74 | (5) all_12_4 = e12 % 61.27/9.74 | % 61.27/9.74 | REDUCE: (3), (5) imply: % 61.27/9.74 | (6) $false % 61.27/9.74 | % 61.27/9.74 | CLOSE: (6) is inconsistent. % 61.27/9.74 | % 61.27/9.74 End of proof % 61.27/9.74 % 61.27/9.74 Sub-proof #171 shows that the following formulas are inconsistent: % 61.27/9.74 ---------------------------------------------------------------- % 61.27/9.74 (1) all_16_1 = all_12_4 % 61.27/9.74 (2) all_16_1 = e10 % 61.27/9.74 (3) ~ (all_12_4 = e10) % 61.27/9.74 % 61.27/9.74 Begin of proof % 61.27/9.74 | % 61.27/9.74 | COMBINE_EQS: (1), (2) imply: % 61.27/9.74 | (4) all_12_4 = e10 % 61.27/9.74 | % 61.27/9.74 | SIMP: (4) implies: % 61.27/9.74 | (5) all_12_4 = e10 % 61.27/9.74 | % 61.27/9.74 | REDUCE: (3), (5) imply: % 61.27/9.74 | (6) $false % 61.27/9.74 | % 61.27/9.74 | CLOSE: (6) is inconsistent. % 61.27/9.74 | % 61.27/9.74 End of proof % 61.27/9.74 % 61.27/9.74 Sub-proof #172 shows that the following formulas are inconsistent: % 61.27/9.74 ---------------------------------------------------------------- % 61.27/9.74 (1) all_20_6 = e13 & all_20_12 = e11 & ~ (all_20_7 = e12) & ~ (all_20_10 = % 61.27/9.74 e11) % 61.27/9.74 (2) all_20_12 = e12 % 61.27/9.74 (3) ~ (e12 = e11) % 61.27/9.74 % 61.27/9.74 Begin of proof % 61.27/9.74 | % 61.27/9.74 | ALPHA: (1) implies: % 61.27/9.74 | (4) all_20_12 = e11 % 61.27/9.74 | % 61.27/9.74 | COMBINE_EQS: (2), (4) imply: % 61.27/9.74 | (5) e12 = e11 % 61.27/9.74 | % 61.27/9.74 | SIMP: (5) implies: % 61.27/9.74 | (6) e12 = e11 % 61.27/9.74 | % 61.27/9.74 | REDUCE: (3), (6) imply: % 61.27/9.74 | (7) $false % 61.27/9.74 | % 61.27/9.74 | CLOSE: (7) is inconsistent. % 61.27/9.74 | % 61.27/9.74 End of proof % 61.27/9.74 % 61.27/9.74 Sub-proof #173 shows that the following formulas are inconsistent: % 61.27/9.74 ---------------------------------------------------------------- % 61.27/9.74 (1) all_20_4 = e11 & all_20_15 = e12 & ~ (all_20_5 = e10) & ~ (all_20_14 = % 61.27/9.74 e12) % 61.27/9.74 (2) all_20_15 = e11 % 61.27/9.74 (3) ~ (e12 = e11) % 61.27/9.74 % 61.27/9.74 Begin of proof % 61.27/9.74 | % 61.27/9.74 | ALPHA: (1) implies: % 61.27/9.74 | (4) all_20_15 = e12 % 61.27/9.74 | % 61.27/9.74 | COMBINE_EQS: (2), (4) imply: % 61.27/9.74 | (5) e12 = e11 % 61.27/9.74 | % 61.27/9.74 | REDUCE: (3), (5) imply: % 61.27/9.74 | (6) $false % 61.27/9.74 | % 61.27/9.74 | CLOSE: (6) is inconsistent. % 61.27/9.74 | % 61.27/9.74 End of proof % 61.27/9.74 % 61.27/9.74 Sub-proof #174 shows that the following formulas are inconsistent: % 61.27/9.74 ---------------------------------------------------------------- % 61.27/9.74 (1) all_20_10 = all_12_0 % 61.27/9.74 (2) all_20_10 = e12 % 61.27/9.74 (3) ~ (all_12_0 = e12) % 61.27/9.74 % 61.27/9.74 Begin of proof % 61.27/9.74 | % 61.27/9.74 | COMBINE_EQS: (1), (2) imply: % 61.27/9.74 | (4) all_12_0 = e12 % 61.27/9.74 | % 61.27/9.74 | SIMP: (4) implies: % 61.27/9.74 | (5) all_12_0 = e12 % 61.27/9.74 | % 61.27/9.74 | REDUCE: (3), (5) imply: % 61.27/9.74 | (6) $false % 61.27/9.74 | % 61.27/9.74 | CLOSE: (6) is inconsistent. % 61.27/9.74 | % 61.27/9.74 End of proof % 61.27/9.74 % 61.27/9.74 Sub-proof #175 shows that the following formulas are inconsistent: % 61.27/9.74 ---------------------------------------------------------------- % 61.27/9.74 (1) all_20_14 = all_12_10 % 61.27/9.74 (2) all_20_14 = e12 % 61.27/9.74 (3) ~ (all_12_10 = e12) % 61.27/9.74 % 61.27/9.74 Begin of proof % 61.27/9.74 | % 61.27/9.74 | COMBINE_EQS: (1), (2) imply: % 61.27/9.74 | (4) all_12_10 = e12 % 61.27/9.74 | % 61.27/9.74 | SIMP: (4) implies: % 61.27/9.74 | (5) all_12_10 = e12 % 61.27/9.74 | % 61.27/9.74 | REDUCE: (3), (5) imply: % 61.27/9.74 | (6) $false % 61.27/9.74 | % 61.27/9.74 | CLOSE: (6) is inconsistent. % 61.27/9.74 | % 61.27/9.74 End of proof % 61.27/9.74 % 61.27/9.74 Sub-proof #176 shows that the following formulas are inconsistent: % 61.27/9.74 ---------------------------------------------------------------- % 61.27/9.74 (1) all_20_1 = e11 & all_20_15 = e13 & ~ (all_20_2 = e10) & ~ (all_20_14 = % 61.27/9.74 e13) % 61.27/9.74 (2) all_20_1 = e12 % 61.27/9.74 (3) ~ (e12 = e11) % 61.27/9.74 % 61.27/9.74 Begin of proof % 61.27/9.74 | % 61.27/9.74 | ALPHA: (1) implies: % 61.27/9.74 | (4) all_20_1 = e11 % 61.27/9.74 | % 61.27/9.74 | COMBINE_EQS: (2), (4) imply: % 61.27/9.74 | (5) e12 = e11 % 61.27/9.74 | % 61.27/9.75 | REDUCE: (3), (5) imply: % 61.27/9.75 | (6) $false % 61.27/9.75 | % 61.27/9.75 | CLOSE: (6) is inconsistent. % 61.27/9.75 | % 61.27/9.75 End of proof % 61.27/9.75 % 61.27/9.75 Sub-proof #177 shows that the following formulas are inconsistent: % 61.27/9.75 ---------------------------------------------------------------- % 61.27/9.75 (1) all_20_1 = e11 & all_20_12 = e13 & ~ (all_20_0 = e12) & ~ (all_20_14 = % 61.27/9.75 e13) % 61.27/9.75 (2) all_20_1 = e12 % 61.27/9.75 (3) ~ (e12 = e11) % 61.27/9.75 % 61.27/9.75 Begin of proof % 61.27/9.75 | % 61.27/9.75 | ALPHA: (1) implies: % 61.27/9.75 | (4) all_20_1 = e11 % 61.27/9.75 | % 61.27/9.75 | COMBINE_EQS: (2), (4) imply: % 61.27/9.75 | (5) e12 = e11 % 61.27/9.75 | % 61.27/9.75 | REDUCE: (3), (5) imply: % 61.27/9.75 | (6) $false % 61.27/9.75 | % 61.27/9.75 | CLOSE: (6) is inconsistent. % 61.27/9.75 | % 61.27/9.75 End of proof % 61.27/9.75 % 61.27/9.75 Sub-proof #178 shows that the following formulas are inconsistent: % 61.27/9.75 ---------------------------------------------------------------- % 61.27/9.75 (1) all_20_0 = e12 & all_20_15 = e13 & ~ (all_20_2 = e10) & ~ (all_20_12 = % 61.27/9.75 e13) % 61.27/9.75 (2) all_20_15 = e11 % 61.27/9.75 (3) ~ (e13 = e11) % 61.27/9.75 % 61.27/9.75 Begin of proof % 61.27/9.75 | % 61.27/9.75 | ALPHA: (1) implies: % 61.27/9.75 | (4) all_20_15 = e13 % 61.27/9.75 | % 61.27/9.75 | COMBINE_EQS: (2), (4) imply: % 61.27/9.75 | (5) e13 = e11 % 61.27/9.75 | % 61.27/9.75 | REDUCE: (3), (5) imply: % 61.27/9.75 | (6) $false % 61.27/9.75 | % 61.27/9.75 | CLOSE: (6) is inconsistent. % 61.27/9.75 | % 61.27/9.75 End of proof % 61.27/9.75 % 61.27/9.75 Sub-proof #179 shows that the following formulas are inconsistent: % 61.27/9.75 ---------------------------------------------------------------- % 61.27/9.75 (1) all_24_2 = all_12_1 % 61.27/9.75 (2) all_24_2 = e12 % 61.27/9.75 (3) ~ (all_12_1 = e12) % 61.27/9.75 % 61.27/9.75 Begin of proof % 61.27/9.75 | % 61.27/9.75 | COMBINE_EQS: (1), (2) imply: % 61.27/9.75 | (4) all_12_1 = e12 % 61.27/9.75 | % 61.27/9.75 | SIMP: (4) implies: % 61.27/9.75 | (5) all_12_1 = e12 % 61.27/9.75 | % 61.27/9.75 | REDUCE: (3), (5) imply: % 61.27/9.75 | (6) $false % 61.27/9.75 | % 61.27/9.75 | CLOSE: (6) is inconsistent. % 61.27/9.75 | % 61.27/9.75 End of proof % 61.27/9.75 % 61.27/9.75 Sub-proof #180 shows that the following formulas are inconsistent: % 61.27/9.75 ---------------------------------------------------------------- % 61.27/9.75 (1) all_24_0 = all_12_0 % 61.27/9.75 (2) all_24_0 = e12 % 61.27/9.75 (3) ~ (all_12_0 = e12) % 61.27/9.75 % 61.27/9.75 Begin of proof % 61.27/9.75 | % 61.27/9.75 | COMBINE_EQS: (1), (2) imply: % 61.27/9.75 | (4) all_12_0 = e12 % 61.27/9.75 | % 61.27/9.75 | SIMP: (4) implies: % 61.27/9.75 | (5) all_12_0 = e12 % 61.27/9.75 | % 61.27/9.75 | REDUCE: (3), (5) imply: % 61.27/9.75 | (6) $false % 61.27/9.75 | % 61.27/9.75 | CLOSE: (6) is inconsistent. % 61.27/9.75 | % 61.27/9.75 End of proof % 61.27/9.75 % 61.27/9.75 Sub-proof #181 shows that the following formulas are inconsistent: % 61.27/9.75 ---------------------------------------------------------------- % 61.27/9.75 (1) all_20_10 = e13 & ( ~ (all_20_12 = e13) | all_20_0 = e12) & ( ~ % 61.27/9.75 (all_20_14 = e13) | all_20_1 = e11) & ( ~ (all_20_15 = e13) | all_20_2 % 61.27/9.75 = e10) % 61.27/9.75 (2) all_20_10 = all_12_0 % 61.27/9.75 (3) ~ (all_12_0 = e13) % 61.27/9.75 % 61.27/9.75 Begin of proof % 61.27/9.75 | % 61.27/9.75 | ALPHA: (1) implies: % 61.27/9.75 | (4) all_20_10 = e13 % 61.27/9.75 | % 61.27/9.75 | COMBINE_EQS: (2), (4) imply: % 61.27/9.75 | (5) all_12_0 = e13 % 61.27/9.75 | % 61.27/9.75 | SIMP: (5) implies: % 61.27/9.75 | (6) all_12_0 = e13 % 61.27/9.75 | % 61.27/9.75 | REDUCE: (3), (6) imply: % 61.27/9.75 | (7) $false % 61.27/9.75 | % 61.27/9.75 | CLOSE: (7) is inconsistent. % 61.27/9.75 | % 61.27/9.75 End of proof % 61.27/9.75 % SZS output end Proof for theBenchmark % 61.27/9.75 % 61.27/9.75 9130ms %------------------------------------------------------------------------------