%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : ALG119+1 : TPTP v8.1.2. Released v2.7.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n011.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Aug 30 16:36:27 EDT 2023 % Result : Theorem 22.86s 3.79s % Output : Proof 50.00s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : ALG119+1 : TPTP v8.1.2. Released v2.7.0. % 0.06/0.12 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.12/0.33 % Computer : n011.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 300 % 0.12/0.33 % DateTime : Mon Aug 28 03:21:55 EDT 2023 % 0.12/0.33 % CPUTime : % 0.19/0.59 ________ _____ % 0.19/0.59 ___ __ \_________(_)________________________________ % 0.19/0.59 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.19/0.59 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.19/0.59 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.19/0.59 % 0.19/0.59 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.19/0.59 (2023-06-19) % 0.19/0.59 % 0.19/0.59 (c) Philipp Rümmer, 2009-2023 % 0.19/0.59 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.19/0.59 Amanda Stjerna. % 0.19/0.59 Free software under BSD-3-Clause. % 0.19/0.59 % 0.19/0.59 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.19/0.59 % 0.19/0.60 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.19/0.61 Running up to 7 provers in parallel. % 0.19/0.62 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.19/0.62 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.19/0.62 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.19/0.62 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.19/0.62 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.19/0.62 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 0.19/0.62 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 8.15/1.83 Prover 4: Preprocessing ... % 8.15/1.84 Prover 1: Preprocessing ... % 8.15/1.85 Prover 6: Preprocessing ... % 8.15/1.85 Prover 3: Preprocessing ... % 8.15/1.85 Prover 0: Preprocessing ... % 8.15/1.85 Prover 2: Preprocessing ... % 8.15/1.85 Prover 5: Preprocessing ... % 15.21/2.75 Prover 1: Constructing countermodel ... % 15.21/2.75 Prover 2: Constructing countermodel ... % 15.22/2.75 Prover 4: Constructing countermodel ... % 15.22/2.77 Prover 3: Constructing countermodel ... % 15.90/2.87 Prover 6: Constructing countermodel ... % 15.90/2.87 Prover 0: Constructing countermodel ... % 21.10/3.56 Prover 5: Constructing countermodel ... % 22.86/3.78 Prover 0: proved (3168ms) % 22.86/3.78 Prover 6: proved (3164ms) % 22.86/3.78 % 22.86/3.79 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 22.86/3.79 % 22.86/3.79 % 22.86/3.79 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 22.86/3.79 % 22.86/3.79 Prover 3: proved (3170ms) % 22.86/3.79 % 22.86/3.79 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 22.86/3.79 % 22.86/3.79 Prover 2: stopped % 22.86/3.79 Prover 5: stopped % 22.86/3.79 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 22.86/3.79 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 22.86/3.79 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 22.86/3.79 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 22.86/3.80 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 27.01/4.40 Prover 11: Preprocessing ... % 27.01/4.42 Prover 13: Preprocessing ... % 27.01/4.42 Prover 7: Preprocessing ... % 27.01/4.43 Prover 8: Preprocessing ... % 27.01/4.44 Prover 10: Preprocessing ... % 30.35/4.77 Prover 8: Constructing countermodel ... % 31.36/4.88 Prover 13: Constructing countermodel ... % 31.36/4.91 Prover 7: Constructing countermodel ... % 31.84/4.95 Prover 11: Constructing countermodel ... % 31.84/4.99 Prover 10: Constructing countermodel ... % 44.34/6.59 Prover 1: Found proof (size 2862) % 44.34/6.59 Prover 1: proved (5979ms) % 44.34/6.59 Prover 7: stopped % 44.34/6.59 Prover 13: stopped % 44.34/6.59 Prover 11: stopped % 44.34/6.60 Prover 10: stopped % 44.34/6.60 Prover 8: stopped % 44.72/6.66 Prover 4: Found proof (size 2899) % 44.72/6.66 Prover 4: proved (6041ms) % 44.72/6.66 % 44.72/6.66 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 44.72/6.66 % 47.38/7.31 % SZS output start Proof for theBenchmark % 47.52/7.32 Assumptions after simplification: % 47.52/7.32 --------------------------------- % 47.52/7.32 % 47.52/7.32 (ax1) % 47.58/7.37 $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] : ? [v2: % 47.58/7.37 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : % 47.58/7.37 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? % 47.58/7.37 [v13: $i] : ? [v14: $i] : ? [v15: $i] : (op1(e13, e13) = v15 & op1(e13, e12) % 47.58/7.37 = v14 & op1(e13, e11) = v13 & op1(e13, e10) = v12 & op1(e12, e13) = v11 & % 47.58/7.37 op1(e12, e12) = v10 & op1(e12, e11) = v9 & op1(e12, e10) = v8 & op1(e11, % 47.58/7.37 e13) = v7 & op1(e11, e12) = v6 & op1(e11, e11) = v5 & op1(e11, e10) = v4 & % 47.58/7.37 op1(e10, e13) = v3 & op1(e10, e12) = v2 & op1(e10, e11) = v1 & op1(e10, e10) % 47.58/7.37 = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & % 47.58/7.37 $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & % 47.58/7.37 $i(v0) & (v15 = e13 | v15 = e12 | v15 = e11 | v15 = e10) & (v14 = e13 | v14 % 47.58/7.37 = e12 | v14 = e11 | v14 = e10) & (v13 = e13 | v13 = e12 | v13 = e11 | v13 % 47.58/7.37 = e10) & (v12 = e13 | v12 = e12 | v12 = e11 | v12 = e10) & (v11 = e13 | % 47.58/7.37 v11 = e12 | v11 = e11 | v11 = e10) & (v10 = e13 | v10 = e12 | v10 = e11 | % 47.58/7.37 v10 = e10) & (v9 = e13 | v9 = e12 | v9 = e11 | v9 = e10) & (v8 = e13 | v8 % 47.58/7.37 = e12 | v8 = e11 | v8 = e10) & (v7 = e13 | v7 = e12 | v7 = e11 | v7 = e10) % 47.58/7.37 & (v6 = e13 | v6 = e12 | v6 = e11 | v6 = e10) & (v5 = e13 | v5 = e12 | v5 = % 47.58/7.37 e11 | v5 = e10) & (v4 = e13 | v4 = e12 | v4 = e11 | v4 = e10) & (v3 = e13 % 47.58/7.37 | v3 = e12 | v3 = e11 | v3 = e10) & (v2 = e13 | v2 = e12 | v2 = e11 | v2 = % 47.58/7.37 e10) & (v1 = e13 | v1 = e12 | v1 = e11 | v1 = e10) & (v0 = e13 | v0 = e12 % 47.58/7.37 | v0 = e11 | v0 = e10)) % 47.58/7.37 % 47.58/7.37 (ax10) % 47.58/7.39 $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] : ? [v2: % 47.58/7.39 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : % 47.58/7.39 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? % 47.58/7.39 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? % 47.58/7.39 [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? % 47.58/7.39 [v23: $i] : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ? % 47.58/7.39 [v28: $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : (op1(e13, v15) = v31 % 47.58/7.39 & op1(e13, v11) = v30 & op1(e13, v7) = v29 & op1(e13, v3) = v28 & op1(e13, % 47.58/7.39 e13) = v15 & op1(e13, e12) = v11 & op1(e13, e11) = v7 & op1(e13, e10) = v3 % 47.58/7.39 & op1(e12, v14) = v27 & op1(e12, v10) = v26 & op1(e12, v6) = v25 & op1(e12, % 47.58/7.39 v2) = v24 & op1(e12, e13) = v14 & op1(e12, e12) = v10 & op1(e12, e11) = v6 % 47.58/7.39 & op1(e12, e10) = v2 & op1(e11, v13) = v23 & op1(e11, v9) = v22 & op1(e11, % 47.58/7.39 v5) = v21 & op1(e11, v1) = v20 & op1(e11, e13) = v13 & op1(e11, e12) = v9 % 47.58/7.39 & op1(e11, e11) = v5 & op1(e11, e10) = v1 & op1(e10, v12) = v19 & op1(e10, % 47.58/7.39 v8) = v18 & op1(e10, v4) = v17 & op1(e10, v0) = v16 & op1(e10, e13) = v12 % 47.58/7.39 & op1(e10, e12) = v8 & op1(e10, e11) = v4 & op1(e10, e10) = v0 & $i(v31) & % 47.58/7.39 $i(v30) & $i(v29) & $i(v28) & $i(v27) & $i(v26) & $i(v25) & $i(v24) & % 47.58/7.39 $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19) & $i(v18) & $i(v17) & % 47.58/7.39 $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) % 47.58/7.39 & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & % 47.58/7.39 $i(v0) & (v31 = e13 | v30 = e12 | v29 = e11 | v28 = e10) & (v27 = e13 | v26 % 47.58/7.39 = e12 | v25 = e11 | v24 = e10) & (v23 = e13 | v22 = e12 | v21 = e11 | v20 % 47.58/7.39 = e10) & (v19 = e13 | v18 = e12 | v17 = e11 | v16 = e10) & ((v15 = e13 & % 47.58/7.39 v10 = e13 & ~ (v14 = e12)) | (v15 = e13 & v5 = e13 & ~ (v13 = e11)) | % 47.58/7.39 (v15 = e13 & v0 = e13 & ~ (v12 = e10)) | (v15 = e12 & v10 = e12 & ~ (v11 % 47.58/7.39 = e13)) | (v15 = e12 & v9 = e11 & v6 = e11 & ~ (v11 = e13)) | (v15 = % 47.58/7.39 e12 & v8 = e10 & v2 = e10 & ~ (v11 = e13)) | (v15 = e11 & v9 = e12 & v6 % 47.58/7.39 = e12 & ~ (v7 = e13)) | (v15 = e11 & v5 = e11 & ~ (v7 = e13)) | (v15 = % 47.58/7.39 e11 & v4 = e10 & v1 = e10 & ~ (v7 = e13)) | (v15 = e10 & v8 = e12 & v2 % 47.58/7.39 = e12 & ~ (v3 = e13)) | (v15 = e10 & v4 = e11 & v1 = e11 & ~ (v3 = % 47.58/7.39 e13)) | (v14 = e13 & v11 = e13 & v5 = e12 & ~ (v9 = e11)) | (v14 = % 47.58/7.39 e13 & v11 = e13 & v0 = e12 & ~ (v8 = e10)) | (v14 = e12 & v11 = e12 & % 47.58/7.39 v5 = e13 & ~ (v13 = e11)) | (v14 = e12 & v11 = e12 & v0 = e13 & ~ (v12 % 47.58/7.39 = e10)) | (v13 = e13 & v10 = e11 & v7 = e13 & ~ (v6 = e12)) | (v13 = % 47.58/7.39 e13 & v7 = e13 & v0 = e11 & ~ (v4 = e10)) | (v13 = e11 & v10 = e13 & v7 % 47.58/7.39 = e11 & ~ (v14 = e12)) | (v13 = e11 & v7 = e11 & v0 = e13 & ~ (v12 = % 47.58/7.39 e10)) | (v12 = e13 & v10 = e10 & v3 = e13 & ~ (v2 = e12)) | (v12 = % 47.58/7.39 e13 & v5 = e10 & v3 = e13 & ~ (v1 = e11)) | (v12 = e10 & v10 = e13 & v3 % 47.58/7.39 = e10 & ~ (v14 = e12)) | (v12 = e10 & v5 = e13 & v3 = e10 & ~ (v13 = % 47.58/7.39 e11)) | (v10 = e12 & v5 = e12 & ~ (v9 = e11)) | (v10 = e12 & v0 = e12 % 47.58/7.39 & ~ (v8 = e10)) | (v10 = e11 & v5 = e11 & ~ (v6 = e12)) | (v10 = e11 & % 47.58/7.39 v4 = e10 & v1 = e10 & ~ (v6 = e12)) | (v10 = e10 & v4 = e11 & v1 = e11 % 47.58/7.39 & ~ (v2 = e12)) | (v9 = e12 & v6 = e12 & v0 = e11 & ~ (v4 = e10)) | % 47.58/7.39 (v9 = e11 & v6 = e11 & v0 = e12 & ~ (v8 = e10)) | (v8 = e12 & v5 = e10 & % 47.58/7.39 v2 = e12 & ~ (v1 = e11)) | (v8 = e10 & v5 = e12 & v2 = e10 & ~ (v9 = % 47.58/7.39 e11)) | (v5 = e11 & v0 = e11 & ~ (v4 = e10)) | (v0 = e10 & ((v15 = % 47.58/7.39 e10 & ~ (v3 = e13)) | (v10 = e10 & ~ (v2 = e12)) | (v5 = e10 & ~ % 47.58/7.39 (v1 = e11))))) & (( ~ (v15 = e13) & ~ (v14 = e12) & ~ (v13 = e11) % 47.58/7.39 & ~ (v12 = e10)) | ( ~ (v11 = e13) & ~ (v10 = e12) & ~ (v9 = e11) & % 47.58/7.39 ~ (v8 = e10)) | ( ~ (v7 = e13) & ~ (v6 = e12) & ~ (v5 = e11) & ~ (v4 % 47.58/7.39 = e10)) | ( ~ (v3 = e13) & ~ (v2 = e12) & ~ (v1 = e11) & ~ (v0 = % 47.58/7.39 e10)))) % 47.58/7.39 % 47.58/7.39 (ax11) % 47.58/7.40 $i(e23) & $i(e22) & $i(e21) & $i(e20) & ? [v0: $i] : ? [v1: $i] : ? [v2: % 47.58/7.40 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : % 47.58/7.40 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? % 47.58/7.40 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? % 47.58/7.40 [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? % 47.58/7.40 [v23: $i] : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ? % 47.58/7.40 [v28: $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : (op2(e23, v15) = v31 % 47.58/7.40 & op2(e23, v11) = v30 & op2(e23, v7) = v29 & op2(e23, v3) = v28 & op2(e23, % 47.58/7.40 e23) = v15 & op2(e23, e22) = v11 & op2(e23, e21) = v7 & op2(e23, e20) = v3 % 47.58/7.40 & op2(e22, v14) = v27 & op2(e22, v10) = v26 & op2(e22, v6) = v25 & op2(e22, % 47.58/7.40 v2) = v24 & op2(e22, e23) = v14 & op2(e22, e22) = v10 & op2(e22, e21) = v6 % 47.58/7.40 & op2(e22, e20) = v2 & op2(e21, v13) = v23 & op2(e21, v9) = v22 & op2(e21, % 47.58/7.40 v5) = v21 & op2(e21, v1) = v20 & op2(e21, e23) = v13 & op2(e21, e22) = v9 % 47.58/7.40 & op2(e21, e21) = v5 & op2(e21, e20) = v1 & op2(e20, v12) = v19 & op2(e20, % 47.58/7.40 v8) = v18 & op2(e20, v4) = v17 & op2(e20, v0) = v16 & op2(e20, e23) = v12 % 47.58/7.40 & op2(e20, e22) = v8 & op2(e20, e21) = v4 & op2(e20, e20) = v0 & $i(v31) & % 47.58/7.40 $i(v30) & $i(v29) & $i(v28) & $i(v27) & $i(v26) & $i(v25) & $i(v24) & % 47.58/7.40 $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19) & $i(v18) & $i(v17) & % 47.58/7.40 $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) % 47.58/7.40 & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & % 47.58/7.40 $i(v0) & (v31 = e23 | v30 = e22 | v29 = e21 | v28 = e20) & (v27 = e23 | v26 % 47.58/7.40 = e22 | v25 = e21 | v24 = e20) & (v23 = e23 | v22 = e22 | v21 = e21 | v20 % 47.58/7.40 = e20) & (v19 = e23 | v18 = e22 | v17 = e21 | v16 = e20) & ((v15 = e23 & % 47.58/7.40 v10 = e23 & ~ (v14 = e22)) | (v15 = e23 & v5 = e23 & ~ (v13 = e21)) | % 47.58/7.40 (v15 = e23 & v0 = e23 & ~ (v12 = e20)) | (v15 = e22 & v10 = e22 & ~ (v11 % 47.58/7.40 = e23)) | (v15 = e22 & v9 = e21 & v6 = e21 & ~ (v11 = e23)) | (v15 = % 47.58/7.40 e22 & v8 = e20 & v2 = e20 & ~ (v11 = e23)) | (v15 = e21 & v9 = e22 & v6 % 47.58/7.40 = e22 & ~ (v7 = e23)) | (v15 = e21 & v5 = e21 & ~ (v7 = e23)) | (v15 = % 47.58/7.40 e21 & v4 = e20 & v1 = e20 & ~ (v7 = e23)) | (v15 = e20 & v8 = e22 & v2 % 47.58/7.40 = e22 & ~ (v3 = e23)) | (v15 = e20 & v4 = e21 & v1 = e21 & ~ (v3 = % 47.58/7.40 e23)) | (v14 = e23 & v11 = e23 & v5 = e22 & ~ (v9 = e21)) | (v14 = % 47.58/7.40 e23 & v11 = e23 & v0 = e22 & ~ (v8 = e20)) | (v14 = e22 & v11 = e22 & % 47.58/7.40 v5 = e23 & ~ (v13 = e21)) | (v14 = e22 & v11 = e22 & v0 = e23 & ~ (v12 % 47.58/7.40 = e20)) | (v13 = e23 & v10 = e21 & v7 = e23 & ~ (v6 = e22)) | (v13 = % 47.58/7.40 e23 & v7 = e23 & v0 = e21 & ~ (v4 = e20)) | (v13 = e21 & v10 = e23 & v7 % 47.58/7.40 = e21 & ~ (v14 = e22)) | (v13 = e21 & v7 = e21 & v0 = e23 & ~ (v12 = % 47.58/7.40 e20)) | (v12 = e23 & v10 = e20 & v3 = e23 & ~ (v2 = e22)) | (v12 = % 47.58/7.40 e23 & v5 = e20 & v3 = e23 & ~ (v1 = e21)) | (v12 = e20 & v10 = e23 & v3 % 47.58/7.40 = e20 & ~ (v14 = e22)) | (v12 = e20 & v5 = e23 & v3 = e20 & ~ (v13 = % 47.58/7.40 e21)) | (v10 = e22 & v5 = e22 & ~ (v9 = e21)) | (v10 = e22 & v0 = e22 % 47.58/7.40 & ~ (v8 = e20)) | (v10 = e21 & v5 = e21 & ~ (v6 = e22)) | (v10 = e21 & % 47.58/7.40 v4 = e20 & v1 = e20 & ~ (v6 = e22)) | (v10 = e20 & v4 = e21 & v1 = e21 % 47.58/7.40 & ~ (v2 = e22)) | (v9 = e22 & v6 = e22 & v0 = e21 & ~ (v4 = e20)) | % 47.58/7.40 (v9 = e21 & v6 = e21 & v0 = e22 & ~ (v8 = e20)) | (v8 = e22 & v5 = e20 & % 47.58/7.40 v2 = e22 & ~ (v1 = e21)) | (v8 = e20 & v5 = e22 & v2 = e20 & ~ (v9 = % 47.58/7.40 e21)) | (v5 = e21 & v0 = e21 & ~ (v4 = e20)) | (v0 = e20 & ((v15 = % 47.58/7.40 e20 & ~ (v3 = e23)) | (v10 = e20 & ~ (v2 = e22)) | (v5 = e20 & ~ % 47.58/7.40 (v1 = e21))))) & (( ~ (v15 = e23) & ~ (v14 = e22) & ~ (v13 = e21) % 47.58/7.40 & ~ (v12 = e20)) | ( ~ (v11 = e23) & ~ (v10 = e22) & ~ (v9 = e21) & % 47.58/7.40 ~ (v8 = e20)) | ( ~ (v7 = e23) & ~ (v6 = e22) & ~ (v5 = e21) & ~ (v4 % 47.58/7.40 = e20)) | ( ~ (v3 = e23) & ~ (v2 = e22) & ~ (v1 = e21) & ~ (v0 = % 47.58/7.40 e20)))) % 47.58/7.40 % 47.58/7.40 (ax12) % 47.58/7.40 op1(e13, e13) = e12 & op1(e13, e12) = e11 & op1(e12, e11) = e10 & $i(e13) & % 47.58/7.40 $i(e12) & $i(e11) & $i(e10) % 47.58/7.40 % 47.58/7.40 (ax13) % 47.58/7.40 op2(e23, e23) = e22 & op2(e23, e22) = e21 & op2(e22, e21) = e20 & $i(e23) & % 47.58/7.40 $i(e22) & $i(e21) & $i(e20) % 47.58/7.40 % 47.58/7.40 (ax14) % 47.58/7.41 $i(e20) & $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] : % 47.58/7.41 ? [v2: $i] : (h1(e13) = e20 & h1(e12) = v1 & h1(e11) = v2 & h1(e10) = v0 & % 47.58/7.41 op2(v1, v2) = v0 & op2(e20, v1) = v2 & op2(e20, e20) = v1 & $i(v2) & $i(v1) % 47.58/7.41 & $i(v0)) % 47.58/7.41 % 47.58/7.41 (ax15) % 47.58/7.41 $i(e21) & $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] : % 47.58/7.41 ? [v2: $i] : (h2(e13) = e21 & h2(e12) = v1 & h2(e11) = v2 & h2(e10) = v0 & % 47.58/7.41 op2(v1, v2) = v0 & op2(e21, v1) = v2 & op2(e21, e21) = v1 & $i(v2) & $i(v1) % 47.58/7.41 & $i(v0)) % 47.58/7.41 % 47.58/7.41 (ax16) % 47.58/7.41 $i(e22) & $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] : % 47.58/7.41 ? [v2: $i] : (h3(e13) = e22 & h3(e12) = v1 & h3(e11) = v2 & h3(e10) = v0 & % 47.58/7.41 op2(v1, v2) = v0 & op2(e22, v1) = v2 & op2(e22, e22) = v1 & $i(v2) & $i(v1) % 47.58/7.41 & $i(v0)) % 47.58/7.41 % 47.58/7.41 (ax17) % 47.94/7.41 $i(e23) & $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] : % 47.94/7.41 ? [v2: $i] : (h4(e13) = e23 & h4(e12) = v1 & h4(e11) = v2 & h4(e10) = v0 & % 47.94/7.41 op2(v1, v2) = v0 & op2(e23, v1) = v2 & op2(e23, e23) = v1 & $i(v2) & $i(v1) % 47.94/7.41 & $i(v0)) % 47.94/7.41 % 47.94/7.41 (ax2) % 47.94/7.42 $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] : ? [v2: % 47.94/7.42 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : % 47.94/7.42 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? % 47.94/7.42 [v13: $i] : ? [v14: $i] : ? [v15: $i] : (op1(e13, e13) = v15 & op1(e13, e12) % 47.94/7.42 = v14 & op1(e13, e11) = v11 & op1(e13, e10) = v6 & op1(e12, e13) = v13 & % 47.94/7.42 op1(e12, e12) = v12 & op1(e12, e11) = v10 & op1(e12, e10) = v5 & op1(e11, % 47.94/7.42 e13) = v9 & op1(e11, e12) = v8 & op1(e11, e11) = v7 & op1(e11, e10) = v4 & % 47.94/7.42 op1(e10, e13) = v3 & op1(e10, e12) = v2 & op1(e10, e11) = v1 & op1(e10, e10) % 47.94/7.42 = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & % 47.94/7.42 $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & % 47.94/7.42 $i(v0) & (v15 = e13 | v14 = e13 | v11 = e13 | v6 = e13) & (v15 = e13 | v13 = % 47.94/7.42 e13 | v9 = e13 | v3 = e13) & (v15 = e12 | v14 = e12 | v11 = e12 | v6 = % 47.94/7.42 e12) & (v15 = e12 | v13 = e12 | v9 = e12 | v3 = e12) & (v15 = e11 | v14 = % 47.94/7.42 e11 | v11 = e11 | v6 = e11) & (v15 = e11 | v13 = e11 | v9 = e11 | v3 = % 47.94/7.42 e11) & (v15 = e10 | v14 = e10 | v11 = e10 | v6 = e10) & (v15 = e10 | v13 = % 47.94/7.42 e10 | v9 = e10 | v3 = e10) & (v14 = e13 | v12 = e13 | v8 = e13 | v2 = e13) % 47.94/7.42 & (v14 = e12 | v12 = e12 | v8 = e12 | v2 = e12) & (v14 = e11 | v12 = e11 | % 47.94/7.42 v8 = e11 | v2 = e11) & (v14 = e10 | v12 = e10 | v8 = e10 | v2 = e10) & % 47.94/7.42 (v13 = e13 | v12 = e13 | v10 = e13 | v5 = e13) & (v13 = e12 | v12 = e12 | % 47.94/7.42 v10 = e12 | v5 = e12) & (v13 = e11 | v12 = e11 | v10 = e11 | v5 = e11) & % 47.94/7.42 (v13 = e10 | v12 = e10 | v10 = e10 | v5 = e10) & (v11 = e13 | v10 = e13 | v7 % 47.94/7.42 = e13 | v1 = e13) & (v11 = e12 | v10 = e12 | v7 = e12 | v1 = e12) & (v11 = % 47.94/7.42 e11 | v10 = e11 | v7 = e11 | v1 = e11) & (v11 = e10 | v10 = e10 | v7 = e10 % 47.94/7.42 | v1 = e10) & (v9 = e13 | v8 = e13 | v7 = e13 | v4 = e13) & (v9 = e12 | v8 % 47.94/7.42 = e12 | v7 = e12 | v4 = e12) & (v9 = e11 | v8 = e11 | v7 = e11 | v4 = e11) % 47.94/7.42 & (v9 = e10 | v8 = e10 | v7 = e10 | v4 = e10) & (v6 = e13 | v5 = e13 | v4 = % 47.94/7.42 e13 | v0 = e13) & (v6 = e12 | v5 = e12 | v4 = e12 | v0 = e12) & (v6 = e11 % 47.94/7.42 | v5 = e11 | v4 = e11 | v0 = e11) & (v3 = e13 | v2 = e13 | v1 = e13 | v0 = % 47.94/7.42 e13) & (v3 = e12 | v2 = e12 | v1 = e12 | v0 = e12) & (v3 = e11 | v2 = e11 % 47.94/7.42 | v1 = e11 | v0 = e11) & (v0 = e10 | ((v6 = e10 | v5 = e10 | v4 = e10) & % 47.94/7.42 (v3 = e10 | v2 = e10 | v1 = e10)))) % 47.94/7.42 % 47.94/7.42 (ax3) % 47.94/7.42 $i(e23) & $i(e22) & $i(e21) & $i(e20) & ? [v0: $i] : ? [v1: $i] : ? [v2: % 47.94/7.42 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : % 47.94/7.42 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? % 47.94/7.42 [v13: $i] : ? [v14: $i] : ? [v15: $i] : (op2(e23, e23) = v15 & op2(e23, e22) % 47.94/7.42 = v14 & op2(e23, e21) = v13 & op2(e23, e20) = v12 & op2(e22, e23) = v11 & % 47.94/7.42 op2(e22, e22) = v10 & op2(e22, e21) = v9 & op2(e22, e20) = v8 & op2(e21, % 47.94/7.42 e23) = v7 & op2(e21, e22) = v6 & op2(e21, e21) = v5 & op2(e21, e20) = v4 & % 47.94/7.42 op2(e20, e23) = v3 & op2(e20, e22) = v2 & op2(e20, e21) = v1 & op2(e20, e20) % 47.94/7.42 = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & % 47.94/7.42 $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & % 47.94/7.42 $i(v0) & (v15 = e23 | v15 = e22 | v15 = e21 | v15 = e20) & (v14 = e23 | v14 % 47.94/7.42 = e22 | v14 = e21 | v14 = e20) & (v13 = e23 | v13 = e22 | v13 = e21 | v13 % 47.94/7.42 = e20) & (v12 = e23 | v12 = e22 | v12 = e21 | v12 = e20) & (v11 = e23 | % 47.94/7.42 v11 = e22 | v11 = e21 | v11 = e20) & (v10 = e23 | v10 = e22 | v10 = e21 | % 47.94/7.42 v10 = e20) & (v9 = e23 | v9 = e22 | v9 = e21 | v9 = e20) & (v8 = e23 | v8 % 47.94/7.42 = e22 | v8 = e21 | v8 = e20) & (v7 = e23 | v7 = e22 | v7 = e21 | v7 = e20) % 47.94/7.42 & (v6 = e23 | v6 = e22 | v6 = e21 | v6 = e20) & (v5 = e23 | v5 = e22 | v5 = % 47.94/7.42 e21 | v5 = e20) & (v4 = e23 | v4 = e22 | v4 = e21 | v4 = e20) & (v3 = e23 % 47.94/7.42 | v3 = e22 | v3 = e21 | v3 = e20) & (v2 = e23 | v2 = e22 | v2 = e21 | v2 = % 47.94/7.43 e20) & (v1 = e23 | v1 = e22 | v1 = e21 | v1 = e20) & (v0 = e23 | v0 = e22 % 47.94/7.43 | v0 = e21 | v0 = e20)) % 47.94/7.43 % 47.94/7.43 (ax4) % 47.94/7.43 $i(e23) & $i(e22) & $i(e21) & $i(e20) & ? [v0: $i] : ? [v1: $i] : ? [v2: % 47.94/7.43 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : % 47.94/7.43 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? % 47.94/7.43 [v13: $i] : ? [v14: $i] : ? [v15: $i] : (op2(e23, e23) = v15 & op2(e23, e22) % 47.94/7.43 = v14 & op2(e23, e21) = v11 & op2(e23, e20) = v6 & op2(e22, e23) = v13 & % 47.94/7.43 op2(e22, e22) = v12 & op2(e22, e21) = v10 & op2(e22, e20) = v5 & op2(e21, % 47.94/7.43 e23) = v9 & op2(e21, e22) = v8 & op2(e21, e21) = v7 & op2(e21, e20) = v4 & % 47.94/7.43 op2(e20, e23) = v3 & op2(e20, e22) = v2 & op2(e20, e21) = v1 & op2(e20, e20) % 47.94/7.43 = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & % 47.94/7.43 $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & % 47.94/7.43 $i(v0) & (v15 = e23 | v14 = e23 | v11 = e23 | v6 = e23) & (v15 = e23 | v13 = % 47.94/7.43 e23 | v9 = e23 | v3 = e23) & (v15 = e22 | v14 = e22 | v11 = e22 | v6 = % 47.94/7.43 e22) & (v15 = e22 | v13 = e22 | v9 = e22 | v3 = e22) & (v15 = e21 | v14 = % 47.94/7.43 e21 | v11 = e21 | v6 = e21) & (v15 = e21 | v13 = e21 | v9 = e21 | v3 = % 47.94/7.43 e21) & (v15 = e20 | v14 = e20 | v11 = e20 | v6 = e20) & (v15 = e20 | v13 = % 47.94/7.43 e20 | v9 = e20 | v3 = e20) & (v14 = e23 | v12 = e23 | v8 = e23 | v2 = e23) % 47.94/7.43 & (v14 = e22 | v12 = e22 | v8 = e22 | v2 = e22) & (v14 = e21 | v12 = e21 | % 47.94/7.43 v8 = e21 | v2 = e21) & (v14 = e20 | v12 = e20 | v8 = e20 | v2 = e20) & % 47.94/7.43 (v13 = e23 | v12 = e23 | v10 = e23 | v5 = e23) & (v13 = e22 | v12 = e22 | % 47.94/7.43 v10 = e22 | v5 = e22) & (v13 = e21 | v12 = e21 | v10 = e21 | v5 = e21) & % 47.94/7.43 (v13 = e20 | v12 = e20 | v10 = e20 | v5 = e20) & (v11 = e23 | v10 = e23 | v7 % 47.94/7.43 = e23 | v1 = e23) & (v11 = e22 | v10 = e22 | v7 = e22 | v1 = e22) & (v11 = % 47.94/7.43 e21 | v10 = e21 | v7 = e21 | v1 = e21) & (v11 = e20 | v10 = e20 | v7 = e20 % 47.94/7.43 | v1 = e20) & (v9 = e23 | v8 = e23 | v7 = e23 | v4 = e23) & (v9 = e22 | v8 % 47.94/7.43 = e22 | v7 = e22 | v4 = e22) & (v9 = e21 | v8 = e21 | v7 = e21 | v4 = e21) % 47.94/7.43 & (v9 = e20 | v8 = e20 | v7 = e20 | v4 = e20) & (v6 = e23 | v5 = e23 | v4 = % 47.94/7.43 e23 | v0 = e23) & (v6 = e22 | v5 = e22 | v4 = e22 | v0 = e22) & (v6 = e21 % 47.94/7.43 | v5 = e21 | v4 = e21 | v0 = e21) & (v3 = e23 | v2 = e23 | v1 = e23 | v0 = % 47.94/7.43 e23) & (v3 = e22 | v2 = e22 | v1 = e22 | v0 = e22) & (v3 = e21 | v2 = e21 % 47.94/7.43 | v1 = e21 | v0 = e21) & (v0 = e20 | ((v6 = e20 | v5 = e20 | v4 = e20) & % 47.94/7.43 (v3 = e20 | v2 = e20 | v1 = e20)))) % 47.94/7.43 % 47.94/7.43 (ax5) % 47.94/7.44 $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] : ? [v2: % 47.94/7.44 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : % 47.94/7.44 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? % 47.94/7.44 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ( ~ (v15 = v14) & ~ (v15 = v13) & % 47.94/7.44 ~ (v15 = v12) & ~ (v15 = v11) & ~ (v15 = v7) & ~ (v15 = v3) & ~ (v14 = % 47.94/7.44 v13) & ~ (v14 = v12) & ~ (v14 = v10) & ~ (v14 = v6) & ~ (v14 = v2) & % 47.94/7.44 ~ (v13 = v12) & ~ (v13 = v9) & ~ (v13 = v5) & ~ (v13 = v1) & ~ (v12 = % 47.94/7.44 v8) & ~ (v12 = v4) & ~ (v12 = v0) & ~ (v11 = v10) & ~ (v11 = v9) & ~ % 47.94/7.44 (v11 = v8) & ~ (v11 = v7) & ~ (v11 = v3) & ~ (v10 = v9) & ~ (v10 = v8) & % 47.94/7.44 ~ (v10 = v6) & ~ (v10 = v2) & ~ (v9 = v8) & ~ (v9 = v5) & ~ (v9 = v1) & % 47.94/7.44 ~ (v8 = v4) & ~ (v8 = v0) & ~ (v7 = v6) & ~ (v7 = v5) & ~ (v7 = v4) & % 47.94/7.44 ~ (v7 = v3) & ~ (v6 = v5) & ~ (v6 = v4) & ~ (v6 = v2) & ~ (v5 = v4) & ~ % 47.94/7.44 (v5 = v1) & ~ (v4 = v0) & ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~ % 47.94/7.44 (v2 = v1) & ~ (v2 = v0) & ~ (v1 = v0) & op1(e13, e13) = v15 & op1(e13, % 47.94/7.44 e12) = v11 & op1(e13, e11) = v7 & op1(e13, e10) = v3 & op1(e12, e13) = v14 % 47.94/7.44 & op1(e12, e12) = v10 & op1(e12, e11) = v6 & op1(e12, e10) = v2 & op1(e11, % 47.94/7.44 e13) = v13 & op1(e11, e12) = v9 & op1(e11, e11) = v5 & op1(e11, e10) = v1 % 47.94/7.44 & op1(e10, e13) = v12 & op1(e10, e12) = v8 & op1(e10, e11) = v4 & op1(e10, % 47.94/7.44 e10) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & % 47.94/7.44 $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & % 47.94/7.44 $i(v1) & $i(v0)) % 47.94/7.44 % 47.94/7.44 (ax6) % 47.94/7.44 $i(e23) & $i(e22) & $i(e21) & $i(e20) & ? [v0: $i] : ? [v1: $i] : ? [v2: % 47.94/7.44 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : % 47.94/7.44 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? % 47.94/7.44 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ( ~ (v15 = v14) & ~ (v15 = v13) & % 47.94/7.44 ~ (v15 = v12) & ~ (v15 = v11) & ~ (v15 = v7) & ~ (v15 = v3) & ~ (v14 = % 47.94/7.44 v13) & ~ (v14 = v12) & ~ (v14 = v10) & ~ (v14 = v6) & ~ (v14 = v2) & % 47.94/7.44 ~ (v13 = v12) & ~ (v13 = v9) & ~ (v13 = v5) & ~ (v13 = v1) & ~ (v12 = % 47.94/7.44 v8) & ~ (v12 = v4) & ~ (v12 = v0) & ~ (v11 = v10) & ~ (v11 = v9) & ~ % 47.94/7.44 (v11 = v8) & ~ (v11 = v7) & ~ (v11 = v3) & ~ (v10 = v9) & ~ (v10 = v8) & % 47.94/7.44 ~ (v10 = v6) & ~ (v10 = v2) & ~ (v9 = v8) & ~ (v9 = v5) & ~ (v9 = v1) & % 47.94/7.44 ~ (v8 = v4) & ~ (v8 = v0) & ~ (v7 = v6) & ~ (v7 = v5) & ~ (v7 = v4) & % 47.94/7.44 ~ (v7 = v3) & ~ (v6 = v5) & ~ (v6 = v4) & ~ (v6 = v2) & ~ (v5 = v4) & ~ % 47.94/7.44 (v5 = v1) & ~ (v4 = v0) & ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~ % 47.94/7.44 (v2 = v1) & ~ (v2 = v0) & ~ (v1 = v0) & op2(e23, e23) = v15 & op2(e23, % 47.94/7.44 e22) = v11 & op2(e23, e21) = v7 & op2(e23, e20) = v3 & op2(e22, e23) = v14 % 47.94/7.44 & op2(e22, e22) = v10 & op2(e22, e21) = v6 & op2(e22, e20) = v2 & op2(e21, % 47.94/7.44 e23) = v13 & op2(e21, e22) = v9 & op2(e21, e21) = v5 & op2(e21, e20) = v1 % 47.94/7.44 & op2(e20, e23) = v12 & op2(e20, e22) = v8 & op2(e20, e21) = v4 & op2(e20, % 47.94/7.44 e20) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & % 47.94/7.44 $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & % 47.94/7.44 $i(v1) & $i(v0)) % 47.94/7.44 % 47.94/7.44 (ax7) % 47.94/7.45 ~ (e13 = e12) & ~ (e13 = e11) & ~ (e13 = e10) & ~ (e12 = e11) & ~ (e12 = % 47.94/7.45 e10) & ~ (e11 = e10) & $i(e13) & $i(e12) & $i(e11) & $i(e10) % 47.94/7.45 % 47.94/7.45 (ax8) % 47.94/7.45 ~ (e23 = e22) & ~ (e23 = e21) & ~ (e23 = e20) & ~ (e22 = e21) & ~ (e22 = % 47.94/7.45 e20) & ~ (e21 = e20) & $i(e23) & $i(e22) & $i(e21) & $i(e20) % 47.94/7.45 % 47.94/7.45 (co1) % 47.94/7.47 $i(e23) & $i(e22) & $i(e21) & $i(e20) & $i(e13) & $i(e12) & $i(e11) & $i(e10) % 47.94/7.47 & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? % 47.94/7.47 [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: % 47.94/7.47 $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] : ? [v15: % 47.94/7.47 $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ? [v19: $i] : ? [v20: % 47.94/7.47 $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i] : ? [v24: $i] : ? [v25: % 47.94/7.47 $i] : ? [v26: $i] : ? [v27: $i] : ? [v28: $i] : ? [v29: $i] : ? [v30: % 47.94/7.47 $i] : ? [v31: $i] : ? [v32: $i] : ? [v33: $i] : ? [v34: $i] : ? [v35: % 47.94/7.47 $i] : ? [v36: $i] : ? [v37: $i] : ? [v38: $i] : ? [v39: $i] : ? [v40: % 47.94/7.47 $i] : ? [v41: $i] : ? [v42: $i] : ? [v43: $i] : ? [v44: $i] : ? [v45: % 47.94/7.47 $i] : ? [v46: $i] : ? [v47: $i] : ? [v48: $i] : ? [v49: $i] : ? [v50: % 47.94/7.47 $i] : ? [v51: $i] : ? [v52: $i] : ? [v53: $i] : ? [v54: $i] : ? [v55: % 47.94/7.47 $i] : ? [v56: $i] : ? [v57: $i] : ? [v58: $i] : ? [v59: $i] : ? [v60: % 47.94/7.47 $i] : ? [v61: $i] : ? [v62: $i] : ? [v63: $i] : ? [v64: $i] : ? [v65: % 47.94/7.47 $i] : ? [v66: $i] : ? [v67: $i] : ? [v68: $i] : ? [v69: $i] : ? [v70: % 47.94/7.47 $i] : ? [v71: $i] : ? [v72: $i] : ? [v73: $i] : ? [v74: $i] : ? [v75: % 47.94/7.47 $i] : ? [v76: $i] : ? [v77: $i] : ? [v78: $i] : ? [v79: $i] : ? [v80: % 47.94/7.47 $i] : ? [v81: $i] : ? [v82: $i] : ? [v83: $i] : ? [v84: $i] : ? [v85: % 47.94/7.47 $i] : ? [v86: $i] : ? [v87: $i] : ? [v88: $i] : ? [v89: $i] : ? [v90: % 47.94/7.47 $i] : ? [v91: $i] : ? [v92: $i] : ? [v93: $i] : ? [v94: $i] : ? [v95: % 47.94/7.47 $i] : ? [v96: $i] : ? [v97: $i] : ? [v98: $i] : ? [v99: $i] : ? [v100: % 47.94/7.47 $i] : ? [v101: $i] : ? [v102: $i] : ? [v103: $i] : ? [v104: $i] : ? % 47.94/7.47 [v105: $i] : ? [v106: $i] : ? [v107: $i] : ? [v108: $i] : ? [v109: $i] : % 47.94/7.47 ? [v110: $i] : ? [v111: $i] : ? [v112: $i] : ? [v113: $i] : ? [v114: $i] : % 47.94/7.47 ? [v115: $i] : ? [v116: $i] : ? [v117: $i] : ? [v118: $i] : ? [v119: $i] % 47.94/7.47 : ? [v120: $i] : ? [v121: $i] : ? [v122: $i] : ? [v123: $i] : ? [v124: % 47.94/7.47 $i] : ? [v125: $i] : ? [v126: $i] : ? [v127: $i] : ? [v128: $i] : ? % 47.94/7.47 [v129: $i] : ? [v130: $i] : ? [v131: $i] : ? [v132: $i] : ? [v133: $i] : % 47.94/7.47 ? [v134: $i] : ? [v135: $i] : ? [v136: $i] : ? [v137: $i] : ? [v138: $i] : % 47.94/7.47 ? [v139: $i] : ? [v140: $i] : ? [v141: $i] : ? [v142: $i] : ? [v143: $i] % 47.94/7.47 : ? [v144: $i] : ? [v145: $i] : ? [v146: $i] : ? [v147: $i] : ? [v148: % 47.94/7.47 $i] : ? [v149: $i] : ? [v150: $i] : ? [v151: $i] : ? [v152: $i] : ? % 47.94/7.47 [v153: $i] : ? [v154: $i] : ? [v155: $i] : ? [v156: $i] : ? [v157: $i] : % 47.94/7.47 ? [v158: $i] : ? [v159: $i] : (h4(v49) = v158 & h4(v46) = v156 & h4(v43) = % 47.94/7.47 v154 & h4(v40) = v152 & h4(v37) = v150 & h4(v34) = v148 & h4(v31) = v146 & % 47.94/7.47 h4(v28) = v144 & h4(v25) = v142 & h4(v22) = v140 & h4(v19) = v138 & h4(v16) % 47.94/7.47 = v136 & h4(v12) = v133 & h4(v8) = v130 & h4(v4) = v127 & h4(v0) = v124 & % 47.94/7.47 h4(e13) = v134 & h4(e12) = v131 & h4(e11) = v128 & h4(e10) = v125 & h3(v49) % 47.94/7.47 = v122 & h3(v46) = v120 & h3(v43) = v118 & h3(v40) = v116 & h3(v37) = v114 & % 47.94/7.47 h3(v34) = v112 & h3(v31) = v110 & h3(v28) = v108 & h3(v25) = v106 & h3(v22) % 47.94/7.47 = v104 & h3(v19) = v102 & h3(v16) = v100 & h3(v12) = v97 & h3(v8) = v94 & % 47.94/7.47 h3(v4) = v91 & h3(v0) = v88 & h3(e13) = v98 & h3(e12) = v95 & h3(e11) = v92 % 47.94/7.47 & h3(e10) = v89 & h2(v49) = v86 & h2(v46) = v84 & h2(v43) = v82 & h2(v40) = % 47.94/7.47 v80 & h2(v37) = v78 & h2(v34) = v76 & h2(v31) = v74 & h2(v28) = v72 & % 47.94/7.47 h2(v25) = v70 & h2(v22) = v68 & h2(v19) = v66 & h2(v16) = v64 & h2(v12) = % 47.94/7.47 v61 & h2(v8) = v58 & h2(v4) = v55 & h2(v0) = v52 & h2(e13) = v62 & h2(e12) = % 47.94/7.47 v59 & h2(e11) = v56 & h2(e10) = v53 & h1(v49) = v50 & h1(v46) = v47 & % 47.94/7.47 h1(v43) = v44 & h1(v40) = v41 & h1(v37) = v38 & h1(v34) = v35 & h1(v31) = % 47.94/7.47 v32 & h1(v28) = v29 & h1(v25) = v26 & h1(v22) = v23 & h1(v19) = v20 & % 47.94/7.47 h1(v16) = v17 & h1(v12) = v13 & h1(v8) = v9 & h1(v4) = v5 & h1(v0) = v1 & % 47.94/7.47 h1(e13) = v14 & h1(e12) = v10 & h1(e11) = v6 & h1(e10) = v2 & op2(v134, % 47.94/7.47 v134) = v159 & op2(v134, v131) = v157 & op2(v134, v128) = v155 & op2(v134, % 47.94/7.47 v125) = v153 & op2(v131, v134) = v151 & op2(v131, v131) = v149 & op2(v131, % 47.94/7.47 v128) = v147 & op2(v131, v125) = v145 & op2(v128, v134) = v143 & op2(v128, % 47.94/7.47 v131) = v141 & op2(v128, v128) = v139 & op2(v128, v125) = v137 & op2(v125, % 47.94/7.47 v134) = v135 & op2(v125, v131) = v132 & op2(v125, v128) = v129 & op2(v125, % 47.94/7.47 v125) = v126 & op2(v98, v98) = v123 & op2(v98, v95) = v121 & op2(v98, v92) % 47.94/7.47 = v119 & op2(v98, v89) = v117 & op2(v95, v98) = v115 & op2(v95, v95) = v113 % 47.94/7.47 & op2(v95, v92) = v111 & op2(v95, v89) = v109 & op2(v92, v98) = v107 & % 47.94/7.47 op2(v92, v95) = v105 & op2(v92, v92) = v103 & op2(v92, v89) = v101 & % 47.94/7.47 op2(v89, v98) = v99 & op2(v89, v95) = v96 & op2(v89, v92) = v93 & op2(v89, % 47.94/7.47 v89) = v90 & op2(v62, v62) = v87 & op2(v62, v59) = v85 & op2(v62, v56) = % 47.94/7.47 v83 & op2(v62, v53) = v81 & op2(v59, v62) = v79 & op2(v59, v59) = v77 & % 47.94/7.47 op2(v59, v56) = v75 & op2(v59, v53) = v73 & op2(v56, v62) = v71 & op2(v56, % 47.94/7.47 v59) = v69 & op2(v56, v56) = v67 & op2(v56, v53) = v65 & op2(v53, v62) = % 47.94/7.47 v63 & op2(v53, v59) = v60 & op2(v53, v56) = v57 & op2(v53, v53) = v54 & % 47.94/7.47 op2(v14, v14) = v51 & op2(v14, v10) = v48 & op2(v14, v6) = v45 & op2(v14, % 47.94/7.47 v2) = v42 & op2(v10, v14) = v39 & op2(v10, v10) = v36 & op2(v10, v6) = v33 % 47.94/7.47 & op2(v10, v2) = v30 & op2(v6, v14) = v27 & op2(v6, v10) = v24 & op2(v6, v6) % 47.94/7.47 = v21 & op2(v6, v2) = v18 & op2(v2, v14) = v15 & op2(v2, v10) = v11 & % 47.94/7.47 op2(v2, v6) = v7 & op2(v2, v2) = v3 & op1(e13, e13) = v49 & op1(e13, e12) = % 47.94/7.47 v46 & op1(e13, e11) = v43 & op1(e13, e10) = v40 & op1(e12, e13) = v37 & % 47.94/7.47 op1(e12, e12) = v34 & op1(e12, e11) = v31 & op1(e12, e10) = v28 & op1(e11, % 47.94/7.47 e13) = v25 & op1(e11, e12) = v22 & op1(e11, e11) = v19 & op1(e11, e10) = % 47.94/7.47 v16 & op1(e10, e13) = v12 & op1(e10, e12) = v8 & op1(e10, e11) = v4 & % 47.94/7.47 op1(e10, e10) = v0 & $i(v159) & $i(v158) & $i(v157) & $i(v156) & $i(v155) & % 47.94/7.47 $i(v154) & $i(v153) & $i(v152) & $i(v151) & $i(v150) & $i(v149) & $i(v148) & % 47.94/7.47 $i(v147) & $i(v146) & $i(v145) & $i(v144) & $i(v143) & $i(v142) & $i(v141) & % 47.94/7.47 $i(v140) & $i(v139) & $i(v138) & $i(v137) & $i(v136) & $i(v135) & $i(v134) & % 47.94/7.47 $i(v133) & $i(v132) & $i(v131) & $i(v130) & $i(v129) & $i(v128) & $i(v127) & % 47.94/7.47 $i(v126) & $i(v125) & $i(v124) & $i(v123) & $i(v122) & $i(v121) & $i(v120) & % 47.94/7.47 $i(v119) & $i(v118) & $i(v117) & $i(v116) & $i(v115) & $i(v114) & $i(v113) & % 47.94/7.47 $i(v112) & $i(v111) & $i(v110) & $i(v109) & $i(v108) & $i(v107) & $i(v106) & % 47.94/7.47 $i(v105) & $i(v104) & $i(v103) & $i(v102) & $i(v101) & $i(v100) & $i(v99) & % 47.94/7.47 $i(v98) & $i(v97) & $i(v96) & $i(v95) & $i(v94) & $i(v93) & $i(v92) & % 47.94/7.47 $i(v91) & $i(v90) & $i(v89) & $i(v88) & $i(v87) & $i(v86) & $i(v85) & % 47.94/7.47 $i(v84) & $i(v83) & $i(v82) & $i(v81) & $i(v80) & $i(v79) & $i(v78) & % 47.94/7.47 $i(v77) & $i(v76) & $i(v75) & $i(v74) & $i(v73) & $i(v72) & $i(v71) & % 47.94/7.47 $i(v70) & $i(v69) & $i(v68) & $i(v67) & $i(v66) & $i(v65) & $i(v64) & % 47.94/7.47 $i(v63) & $i(v62) & $i(v61) & $i(v60) & $i(v59) & $i(v58) & $i(v57) & % 47.94/7.47 $i(v56) & $i(v55) & $i(v54) & $i(v53) & $i(v52) & $i(v51) & $i(v50) & % 47.94/7.47 $i(v49) & $i(v48) & $i(v47) & $i(v46) & $i(v45) & $i(v44) & $i(v43) & % 47.94/7.47 $i(v42) & $i(v41) & $i(v40) & $i(v39) & $i(v38) & $i(v37) & $i(v36) & % 47.94/7.47 $i(v35) & $i(v34) & $i(v33) & $i(v32) & $i(v31) & $i(v30) & $i(v29) & % 47.94/7.47 $i(v28) & $i(v27) & $i(v26) & $i(v25) & $i(v24) & $i(v23) & $i(v22) & % 47.94/7.47 $i(v21) & $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & % 47.94/7.47 $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & % 47.94/7.47 $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ( ~ (v159 = % 47.94/7.47 v158) | ~ (v157 = v156) | ~ (v155 = v154) | ~ (v153 = v152) | ~ % 47.94/7.47 (v151 = v150) | ~ (v149 = v148) | ~ (v147 = v146) | ~ (v145 = v144) | % 47.94/7.47 ~ (v143 = v142) | ~ (v141 = v140) | ~ (v139 = v138) | ~ (v137 = v136) | % 47.94/7.47 ~ (v135 = v133) | ~ (v132 = v130) | ~ (v129 = v127) | ~ (v126 = v124) % 47.94/7.47 | ( ~ (v134 = e23) & ~ (v131 = e23) & ~ (v128 = e23) & ~ (v125 = e23)) % 47.94/7.47 | ( ~ (v134 = e22) & ~ (v131 = e22) & ~ (v128 = e22) & ~ (v125 = e22)) % 47.94/7.47 | ( ~ (v134 = e21) & ~ (v131 = e21) & ~ (v128 = e21) & ~ (v125 = e21)) % 47.94/7.47 | ( ~ (v134 = e20) & ~ (v131 = e20) & ~ (v128 = e20) & ~ (v125 = e20))) % 47.94/7.47 & ( ~ (v123 = v122) | ~ (v121 = v120) | ~ (v119 = v118) | ~ (v117 = v116) % 47.94/7.47 | ~ (v115 = v114) | ~ (v113 = v112) | ~ (v111 = v110) | ~ (v109 = % 47.94/7.47 v108) | ~ (v107 = v106) | ~ (v105 = v104) | ~ (v103 = v102) | ~ % 47.94/7.47 (v101 = v100) | ~ (v99 = v97) | ~ (v96 = v94) | ~ (v93 = v91) | ~ (v90 % 47.94/7.47 = v88) | ( ~ (v98 = e23) & ~ (v95 = e23) & ~ (v92 = e23) & ~ (v89 = % 47.94/7.47 e23)) | ( ~ (v98 = e22) & ~ (v95 = e22) & ~ (v92 = e22) & ~ (v89 = % 47.94/7.47 e22)) | ( ~ (v98 = e21) & ~ (v95 = e21) & ~ (v92 = e21) & ~ (v89 = % 47.94/7.47 e21)) | ( ~ (v98 = e20) & ~ (v95 = e20) & ~ (v92 = e20) & ~ (v89 = % 47.94/7.47 e20))) & ( ~ (v87 = v86) | ~ (v85 = v84) | ~ (v83 = v82) | ~ (v81 = % 47.94/7.47 v80) | ~ (v79 = v78) | ~ (v77 = v76) | ~ (v75 = v74) | ~ (v73 = v72) % 47.94/7.47 | ~ (v71 = v70) | ~ (v69 = v68) | ~ (v67 = v66) | ~ (v65 = v64) | ~ % 47.94/7.47 (v63 = v61) | ~ (v60 = v58) | ~ (v57 = v55) | ~ (v54 = v52) | ( ~ (v62 % 47.94/7.47 = e23) & ~ (v59 = e23) & ~ (v56 = e23) & ~ (v53 = e23)) | ( ~ (v62 % 47.94/7.47 = e22) & ~ (v59 = e22) & ~ (v56 = e22) & ~ (v53 = e22)) | ( ~ (v62 % 47.94/7.47 = e21) & ~ (v59 = e21) & ~ (v56 = e21) & ~ (v53 = e21)) | ( ~ (v62 % 47.94/7.47 = e20) & ~ (v59 = e20) & ~ (v56 = e20) & ~ (v53 = e20))) & ( ~ (v51 % 47.94/7.47 = v50) | ~ (v48 = v47) | ~ (v45 = v44) | ~ (v42 = v41) | ~ (v39 = % 47.94/7.47 v38) | ~ (v36 = v35) | ~ (v33 = v32) | ~ (v30 = v29) | ~ (v27 = v26) % 47.94/7.47 | ~ (v24 = v23) | ~ (v21 = v20) | ~ (v18 = v17) | ~ (v15 = v13) | ~ % 47.94/7.47 (v11 = v9) | ~ (v7 = v5) | ~ (v3 = v1) | ( ~ (v14 = e23) & ~ (v10 = % 47.94/7.47 e23) & ~ (v6 = e23) & ~ (v2 = e23)) | ( ~ (v14 = e22) & ~ (v10 = % 47.94/7.47 e22) & ~ (v6 = e22) & ~ (v2 = e22)) | ( ~ (v14 = e21) & ~ (v10 = % 47.94/7.47 e21) & ~ (v6 = e21) & ~ (v2 = e21)) | ( ~ (v14 = e20) & ~ (v10 = % 47.94/7.47 e20) & ~ (v6 = e20) & ~ (v2 = e20)))) % 47.94/7.47 % 47.94/7.47 (function-axioms) % 47.94/7.47 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (op2(v3, % 47.94/7.47 v2) = v1) | ~ (op2(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: % 47.94/7.47 $i] : ! [v3: $i] : (v1 = v0 | ~ (op1(v3, v2) = v1) | ~ (op1(v3, v2) = % 47.94/7.47 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h4(v2) = % 47.94/7.47 v1) | ~ (h4(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = % 47.94/7.47 v0 | ~ (h3(v2) = v1) | ~ (h3(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! % 47.94/7.47 [v2: $i] : (v1 = v0 | ~ (h2(v2) = v1) | ~ (h2(v2) = v0)) & ! [v0: $i] : ! % 47.94/7.47 [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h1(v2) = v1) | ~ (h1(v2) = v0)) % 47.94/7.47 % 47.94/7.47 Further assumptions not needed in the proof: % 47.94/7.47 -------------------------------------------- % 47.94/7.47 ax9 % 47.94/7.47 % 47.94/7.47 Those formulas are unsatisfiable: % 47.94/7.47 --------------------------------- % 47.94/7.47 % 47.94/7.47 Begin of proof % 47.94/7.48 | % 47.94/7.48 | ALPHA: (ax1) implies: % 47.94/7.48 | (1) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 47.94/7.48 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? % 47.94/7.48 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] : % 47.94/7.48 | ? [v15: $i] : (op1(e13, e13) = v15 & op1(e13, e12) = v14 & op1(e13, % 47.94/7.48 | e11) = v13 & op1(e13, e10) = v12 & op1(e12, e13) = v11 & op1(e12, % 47.94/7.48 | e12) = v10 & op1(e12, e11) = v9 & op1(e12, e10) = v8 & op1(e11, % 47.94/7.48 | e13) = v7 & op1(e11, e12) = v6 & op1(e11, e11) = v5 & op1(e11, e10) % 47.94/7.48 | = v4 & op1(e10, e13) = v3 & op1(e10, e12) = v2 & op1(e10, e11) = v1 & % 47.94/7.48 | op1(e10, e10) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) % 47.94/7.48 | & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & % 47.94/7.48 | $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v15 = e13 | v15 = e12 | v15 = % 47.94/7.48 | e11 | v15 = e10) & (v14 = e13 | v14 = e12 | v14 = e11 | v14 = e10) % 47.94/7.48 | & (v13 = e13 | v13 = e12 | v13 = e11 | v13 = e10) & (v12 = e13 | v12 % 47.94/7.48 | = e12 | v12 = e11 | v12 = e10) & (v11 = e13 | v11 = e12 | v11 = e11 % 47.94/7.48 | | v11 = e10) & (v10 = e13 | v10 = e12 | v10 = e11 | v10 = e10) & % 47.94/7.48 | (v9 = e13 | v9 = e12 | v9 = e11 | v9 = e10) & (v8 = e13 | v8 = e12 | % 47.94/7.48 | v8 = e11 | v8 = e10) & (v7 = e13 | v7 = e12 | v7 = e11 | v7 = e10) % 47.94/7.48 | & (v6 = e13 | v6 = e12 | v6 = e11 | v6 = e10) & (v5 = e13 | v5 = e12 % 47.94/7.48 | | v5 = e11 | v5 = e10) & (v4 = e13 | v4 = e12 | v4 = e11 | v4 = % 47.94/7.48 | e10) & (v3 = e13 | v3 = e12 | v3 = e11 | v3 = e10) & (v2 = e13 | v2 % 47.94/7.48 | = e12 | v2 = e11 | v2 = e10) & (v1 = e13 | v1 = e12 | v1 = e11 | v1 % 47.94/7.48 | = e10) & (v0 = e13 | v0 = e12 | v0 = e11 | v0 = e10)) % 47.94/7.48 | % 47.94/7.48 | ALPHA: (ax2) implies: % 47.94/7.49 | (2) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 47.94/7.49 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? % 47.94/7.49 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] : % 47.94/7.49 | ? [v15: $i] : (op1(e13, e13) = v15 & op1(e13, e12) = v14 & op1(e13, % 47.94/7.49 | e11) = v11 & op1(e13, e10) = v6 & op1(e12, e13) = v13 & op1(e12, % 47.94/7.49 | e12) = v12 & op1(e12, e11) = v10 & op1(e12, e10) = v5 & op1(e11, % 47.94/7.49 | e13) = v9 & op1(e11, e12) = v8 & op1(e11, e11) = v7 & op1(e11, e10) % 47.94/7.49 | = v4 & op1(e10, e13) = v3 & op1(e10, e12) = v2 & op1(e10, e11) = v1 & % 47.94/7.49 | op1(e10, e10) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) % 47.94/7.49 | & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & % 47.94/7.49 | $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v15 = e13 | v14 = e13 | v11 = % 47.94/7.49 | e13 | v6 = e13) & (v15 = e13 | v13 = e13 | v9 = e13 | v3 = e13) & % 47.94/7.49 | (v15 = e12 | v14 = e12 | v11 = e12 | v6 = e12) & (v15 = e12 | v13 = % 47.94/7.49 | e12 | v9 = e12 | v3 = e12) & (v15 = e11 | v14 = e11 | v11 = e11 | % 47.94/7.49 | v6 = e11) & (v15 = e11 | v13 = e11 | v9 = e11 | v3 = e11) & (v15 = % 47.94/7.49 | e10 | v14 = e10 | v11 = e10 | v6 = e10) & (v15 = e10 | v13 = e10 | % 47.94/7.49 | v9 = e10 | v3 = e10) & (v14 = e13 | v12 = e13 | v8 = e13 | v2 = % 47.94/7.49 | e13) & (v14 = e12 | v12 = e12 | v8 = e12 | v2 = e12) & (v14 = e11 | % 47.94/7.49 | v12 = e11 | v8 = e11 | v2 = e11) & (v14 = e10 | v12 = e10 | v8 = % 47.94/7.49 | e10 | v2 = e10) & (v13 = e13 | v12 = e13 | v10 = e13 | v5 = e13) & % 47.94/7.49 | (v13 = e12 | v12 = e12 | v10 = e12 | v5 = e12) & (v13 = e11 | v12 = % 47.94/7.49 | e11 | v10 = e11 | v5 = e11) & (v13 = e10 | v12 = e10 | v10 = e10 | % 47.94/7.49 | v5 = e10) & (v11 = e13 | v10 = e13 | v7 = e13 | v1 = e13) & (v11 = % 47.94/7.49 | e12 | v10 = e12 | v7 = e12 | v1 = e12) & (v11 = e11 | v10 = e11 | % 47.94/7.49 | v7 = e11 | v1 = e11) & (v11 = e10 | v10 = e10 | v7 = e10 | v1 = % 47.94/7.49 | e10) & (v9 = e13 | v8 = e13 | v7 = e13 | v4 = e13) & (v9 = e12 | v8 % 47.94/7.49 | = e12 | v7 = e12 | v4 = e12) & (v9 = e11 | v8 = e11 | v7 = e11 | v4 % 47.94/7.49 | = e11) & (v9 = e10 | v8 = e10 | v7 = e10 | v4 = e10) & (v6 = e13 | % 47.94/7.49 | v5 = e13 | v4 = e13 | v0 = e13) & (v6 = e12 | v5 = e12 | v4 = e12 | % 47.94/7.49 | v0 = e12) & (v6 = e11 | v5 = e11 | v4 = e11 | v0 = e11) & (v3 = e13 % 47.94/7.49 | | v2 = e13 | v1 = e13 | v0 = e13) & (v3 = e12 | v2 = e12 | v1 = e12 % 47.94/7.49 | | v0 = e12) & (v3 = e11 | v2 = e11 | v1 = e11 | v0 = e11) & (v0 = % 47.94/7.49 | e10 | ((v6 = e10 | v5 = e10 | v4 = e10) & (v3 = e10 | v2 = e10 | v1 % 47.94/7.49 | = e10)))) % 47.94/7.49 | % 47.94/7.49 | ALPHA: (ax3) implies: % 47.94/7.49 | (3) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 47.94/7.49 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? % 47.94/7.49 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] : % 47.94/7.49 | ? [v15: $i] : (op2(e23, e23) = v15 & op2(e23, e22) = v14 & op2(e23, % 47.94/7.49 | e21) = v13 & op2(e23, e20) = v12 & op2(e22, e23) = v11 & op2(e22, % 47.94/7.49 | e22) = v10 & op2(e22, e21) = v9 & op2(e22, e20) = v8 & op2(e21, % 47.94/7.49 | e23) = v7 & op2(e21, e22) = v6 & op2(e21, e21) = v5 & op2(e21, e20) % 47.94/7.49 | = v4 & op2(e20, e23) = v3 & op2(e20, e22) = v2 & op2(e20, e21) = v1 & % 47.94/7.49 | op2(e20, e20) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) % 47.94/7.49 | & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & % 47.94/7.49 | $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v15 = e23 | v15 = e22 | v15 = % 47.94/7.49 | e21 | v15 = e20) & (v14 = e23 | v14 = e22 | v14 = e21 | v14 = e20) % 47.94/7.49 | & (v13 = e23 | v13 = e22 | v13 = e21 | v13 = e20) & (v12 = e23 | v12 % 47.94/7.49 | = e22 | v12 = e21 | v12 = e20) & (v11 = e23 | v11 = e22 | v11 = e21 % 47.94/7.49 | | v11 = e20) & (v10 = e23 | v10 = e22 | v10 = e21 | v10 = e20) & % 47.94/7.49 | (v9 = e23 | v9 = e22 | v9 = e21 | v9 = e20) & (v8 = e23 | v8 = e22 | % 47.94/7.49 | v8 = e21 | v8 = e20) & (v7 = e23 | v7 = e22 | v7 = e21 | v7 = e20) % 47.94/7.49 | & (v6 = e23 | v6 = e22 | v6 = e21 | v6 = e20) & (v5 = e23 | v5 = e22 % 47.94/7.49 | | v5 = e21 | v5 = e20) & (v4 = e23 | v4 = e22 | v4 = e21 | v4 = % 47.94/7.49 | e20) & (v3 = e23 | v3 = e22 | v3 = e21 | v3 = e20) & (v2 = e23 | v2 % 47.94/7.49 | = e22 | v2 = e21 | v2 = e20) & (v1 = e23 | v1 = e22 | v1 = e21 | v1 % 47.94/7.49 | = e20) & (v0 = e23 | v0 = e22 | v0 = e21 | v0 = e20)) % 47.94/7.49 | % 47.94/7.49 | ALPHA: (ax4) implies: % 47.94/7.50 | (4) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 47.94/7.50 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? % 47.94/7.50 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] : % 47.94/7.50 | ? [v15: $i] : (op2(e23, e23) = v15 & op2(e23, e22) = v14 & op2(e23, % 47.94/7.50 | e21) = v11 & op2(e23, e20) = v6 & op2(e22, e23) = v13 & op2(e22, % 47.94/7.50 | e22) = v12 & op2(e22, e21) = v10 & op2(e22, e20) = v5 & op2(e21, % 47.94/7.50 | e23) = v9 & op2(e21, e22) = v8 & op2(e21, e21) = v7 & op2(e21, e20) % 47.94/7.50 | = v4 & op2(e20, e23) = v3 & op2(e20, e22) = v2 & op2(e20, e21) = v1 & % 47.94/7.50 | op2(e20, e20) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) % 47.94/7.50 | & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & % 47.94/7.50 | $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v15 = e23 | v14 = e23 | v11 = % 47.94/7.50 | e23 | v6 = e23) & (v15 = e23 | v13 = e23 | v9 = e23 | v3 = e23) & % 47.94/7.50 | (v15 = e22 | v14 = e22 | v11 = e22 | v6 = e22) & (v15 = e22 | v13 = % 47.94/7.50 | e22 | v9 = e22 | v3 = e22) & (v15 = e21 | v14 = e21 | v11 = e21 | % 47.94/7.50 | v6 = e21) & (v15 = e21 | v13 = e21 | v9 = e21 | v3 = e21) & (v15 = % 47.94/7.50 | e20 | v14 = e20 | v11 = e20 | v6 = e20) & (v15 = e20 | v13 = e20 | % 47.94/7.50 | v9 = e20 | v3 = e20) & (v14 = e23 | v12 = e23 | v8 = e23 | v2 = % 47.94/7.50 | e23) & (v14 = e22 | v12 = e22 | v8 = e22 | v2 = e22) & (v14 = e21 | % 47.94/7.50 | v12 = e21 | v8 = e21 | v2 = e21) & (v14 = e20 | v12 = e20 | v8 = % 47.94/7.50 | e20 | v2 = e20) & (v13 = e23 | v12 = e23 | v10 = e23 | v5 = e23) & % 47.94/7.50 | (v13 = e22 | v12 = e22 | v10 = e22 | v5 = e22) & (v13 = e21 | v12 = % 47.94/7.50 | e21 | v10 = e21 | v5 = e21) & (v13 = e20 | v12 = e20 | v10 = e20 | % 47.94/7.50 | v5 = e20) & (v11 = e23 | v10 = e23 | v7 = e23 | v1 = e23) & (v11 = % 47.94/7.50 | e22 | v10 = e22 | v7 = e22 | v1 = e22) & (v11 = e21 | v10 = e21 | % 47.94/7.50 | v7 = e21 | v1 = e21) & (v11 = e20 | v10 = e20 | v7 = e20 | v1 = % 47.94/7.50 | e20) & (v9 = e23 | v8 = e23 | v7 = e23 | v4 = e23) & (v9 = e22 | v8 % 47.94/7.50 | = e22 | v7 = e22 | v4 = e22) & (v9 = e21 | v8 = e21 | v7 = e21 | v4 % 47.94/7.50 | = e21) & (v9 = e20 | v8 = e20 | v7 = e20 | v4 = e20) & (v6 = e23 | % 47.94/7.50 | v5 = e23 | v4 = e23 | v0 = e23) & (v6 = e22 | v5 = e22 | v4 = e22 | % 47.94/7.50 | v0 = e22) & (v6 = e21 | v5 = e21 | v4 = e21 | v0 = e21) & (v3 = e23 % 47.94/7.50 | | v2 = e23 | v1 = e23 | v0 = e23) & (v3 = e22 | v2 = e22 | v1 = e22 % 47.94/7.50 | | v0 = e22) & (v3 = e21 | v2 = e21 | v1 = e21 | v0 = e21) & (v0 = % 47.94/7.50 | e20 | ((v6 = e20 | v5 = e20 | v4 = e20) & (v3 = e20 | v2 = e20 | v1 % 47.94/7.50 | = e20)))) % 47.94/7.50 | % 47.94/7.50 | ALPHA: (ax5) implies: % 47.94/7.50 | (5) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 47.94/7.50 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? % 47.94/7.50 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] : % 47.94/7.50 | ? [v15: $i] : ( ~ (v15 = v14) & ~ (v15 = v13) & ~ (v15 = v12) & ~ % 47.94/7.50 | (v15 = v11) & ~ (v15 = v7) & ~ (v15 = v3) & ~ (v14 = v13) & ~ % 47.94/7.50 | (v14 = v12) & ~ (v14 = v10) & ~ (v14 = v6) & ~ (v14 = v2) & ~ % 47.94/7.50 | (v13 = v12) & ~ (v13 = v9) & ~ (v13 = v5) & ~ (v13 = v1) & ~ (v12 % 47.94/7.50 | = v8) & ~ (v12 = v4) & ~ (v12 = v0) & ~ (v11 = v10) & ~ (v11 = % 47.94/7.50 | v9) & ~ (v11 = v8) & ~ (v11 = v7) & ~ (v11 = v3) & ~ (v10 = v9) % 47.94/7.50 | & ~ (v10 = v8) & ~ (v10 = v6) & ~ (v10 = v2) & ~ (v9 = v8) & ~ % 47.94/7.50 | (v9 = v5) & ~ (v9 = v1) & ~ (v8 = v4) & ~ (v8 = v0) & ~ (v7 = v6) % 47.94/7.50 | & ~ (v7 = v5) & ~ (v7 = v4) & ~ (v7 = v3) & ~ (v6 = v5) & ~ (v6 % 47.94/7.50 | = v4) & ~ (v6 = v2) & ~ (v5 = v4) & ~ (v5 = v1) & ~ (v4 = v0) & % 47.94/7.50 | ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~ (v2 = v1) & ~ (v2 = % 47.94/7.50 | v0) & ~ (v1 = v0) & op1(e13, e13) = v15 & op1(e13, e12) = v11 & % 47.94/7.50 | op1(e13, e11) = v7 & op1(e13, e10) = v3 & op1(e12, e13) = v14 & % 47.94/7.50 | op1(e12, e12) = v10 & op1(e12, e11) = v6 & op1(e12, e10) = v2 & % 47.94/7.50 | op1(e11, e13) = v13 & op1(e11, e12) = v9 & op1(e11, e11) = v5 & % 47.94/7.50 | op1(e11, e10) = v1 & op1(e10, e13) = v12 & op1(e10, e12) = v8 & % 47.94/7.50 | op1(e10, e11) = v4 & op1(e10, e10) = v0 & $i(v15) & $i(v14) & $i(v13) % 47.94/7.50 | & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & % 47.94/7.50 | $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0)) % 47.94/7.50 | % 47.94/7.50 | ALPHA: (ax6) implies: % 47.94/7.50 | (6) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 47.94/7.50 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? % 47.94/7.50 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] : % 47.94/7.50 | ? [v15: $i] : ( ~ (v15 = v14) & ~ (v15 = v13) & ~ (v15 = v12) & ~ % 47.94/7.50 | (v15 = v11) & ~ (v15 = v7) & ~ (v15 = v3) & ~ (v14 = v13) & ~ % 47.94/7.50 | (v14 = v12) & ~ (v14 = v10) & ~ (v14 = v6) & ~ (v14 = v2) & ~ % 47.94/7.50 | (v13 = v12) & ~ (v13 = v9) & ~ (v13 = v5) & ~ (v13 = v1) & ~ (v12 % 47.94/7.50 | = v8) & ~ (v12 = v4) & ~ (v12 = v0) & ~ (v11 = v10) & ~ (v11 = % 47.94/7.50 | v9) & ~ (v11 = v8) & ~ (v11 = v7) & ~ (v11 = v3) & ~ (v10 = v9) % 47.94/7.50 | & ~ (v10 = v8) & ~ (v10 = v6) & ~ (v10 = v2) & ~ (v9 = v8) & ~ % 47.94/7.50 | (v9 = v5) & ~ (v9 = v1) & ~ (v8 = v4) & ~ (v8 = v0) & ~ (v7 = v6) % 47.94/7.50 | & ~ (v7 = v5) & ~ (v7 = v4) & ~ (v7 = v3) & ~ (v6 = v5) & ~ (v6 % 47.94/7.50 | = v4) & ~ (v6 = v2) & ~ (v5 = v4) & ~ (v5 = v1) & ~ (v4 = v0) & % 47.94/7.50 | ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~ (v2 = v1) & ~ (v2 = % 47.94/7.50 | v0) & ~ (v1 = v0) & op2(e23, e23) = v15 & op2(e23, e22) = v11 & % 47.94/7.50 | op2(e23, e21) = v7 & op2(e23, e20) = v3 & op2(e22, e23) = v14 & % 47.94/7.50 | op2(e22, e22) = v10 & op2(e22, e21) = v6 & op2(e22, e20) = v2 & % 47.94/7.50 | op2(e21, e23) = v13 & op2(e21, e22) = v9 & op2(e21, e21) = v5 & % 47.94/7.50 | op2(e21, e20) = v1 & op2(e20, e23) = v12 & op2(e20, e22) = v8 & % 47.94/7.50 | op2(e20, e21) = v4 & op2(e20, e20) = v0 & $i(v15) & $i(v14) & $i(v13) % 47.94/7.50 | & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & % 47.94/7.50 | $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0)) % 47.94/7.50 | % 47.94/7.50 | ALPHA: (ax7) implies: % 47.94/7.51 | (7) ~ (e11 = e10) % 47.94/7.51 | (8) ~ (e12 = e10) % 47.94/7.51 | % 47.94/7.51 | ALPHA: (ax8) implies: % 47.94/7.51 | (9) ~ (e21 = e20) % 47.94/7.51 | (10) ~ (e22 = e20) % 47.94/7.51 | (11) ~ (e23 = e20) % 47.94/7.51 | (12) ~ (e23 = e21) % 47.94/7.51 | (13) ~ (e23 = e22) % 47.94/7.51 | % 47.94/7.51 | ALPHA: (ax10) implies: % 47.94/7.51 | (14) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 47.94/7.51 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : % 47.94/7.51 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: % 47.94/7.51 | $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ? % 47.94/7.51 | [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i] % 47.94/7.51 | : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ? [v28: % 47.94/7.51 | $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : (op1(e13, v15) = % 47.94/7.51 | v31 & op1(e13, v11) = v30 & op1(e13, v7) = v29 & op1(e13, v3) = v28 % 47.94/7.51 | & op1(e13, e13) = v15 & op1(e13, e12) = v11 & op1(e13, e11) = v7 & % 47.94/7.51 | op1(e13, e10) = v3 & op1(e12, v14) = v27 & op1(e12, v10) = v26 & % 47.94/7.51 | op1(e12, v6) = v25 & op1(e12, v2) = v24 & op1(e12, e13) = v14 & % 47.94/7.51 | op1(e12, e12) = v10 & op1(e12, e11) = v6 & op1(e12, e10) = v2 & % 47.94/7.51 | op1(e11, v13) = v23 & op1(e11, v9) = v22 & op1(e11, v5) = v21 & % 47.94/7.51 | op1(e11, v1) = v20 & op1(e11, e13) = v13 & op1(e11, e12) = v9 & % 47.94/7.51 | op1(e11, e11) = v5 & op1(e11, e10) = v1 & op1(e10, v12) = v19 & % 47.94/7.51 | op1(e10, v8) = v18 & op1(e10, v4) = v17 & op1(e10, v0) = v16 & % 47.94/7.51 | op1(e10, e13) = v12 & op1(e10, e12) = v8 & op1(e10, e11) = v4 & % 47.94/7.51 | op1(e10, e10) = v0 & $i(v31) & $i(v30) & $i(v29) & $i(v28) & $i(v27) % 47.94/7.51 | & $i(v26) & $i(v25) & $i(v24) & $i(v23) & $i(v22) & $i(v21) & % 47.94/7.51 | $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) % 47.94/7.52 | & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & % 47.94/7.52 | $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v31 % 47.94/7.52 | = e13 | v30 = e12 | v29 = e11 | v28 = e10) & (v27 = e13 | v26 = % 47.94/7.52 | e12 | v25 = e11 | v24 = e10) & (v23 = e13 | v22 = e12 | v21 = e11 % 47.94/7.52 | | v20 = e10) & (v19 = e13 | v18 = e12 | v17 = e11 | v16 = e10) & % 47.94/7.52 | ((v15 = e13 & v10 = e13 & ~ (v14 = e12)) | (v15 = e13 & v5 = e13 & % 47.94/7.52 | ~ (v13 = e11)) | (v15 = e13 & v0 = e13 & ~ (v12 = e10)) | (v15 % 47.94/7.52 | = e12 & v10 = e12 & ~ (v11 = e13)) | (v15 = e12 & v9 = e11 & v6 % 47.94/7.52 | = e11 & ~ (v11 = e13)) | (v15 = e12 & v8 = e10 & v2 = e10 & ~ % 47.94/7.52 | (v11 = e13)) | (v15 = e11 & v9 = e12 & v6 = e12 & ~ (v7 = e13)) % 47.94/7.52 | | (v15 = e11 & v5 = e11 & ~ (v7 = e13)) | (v15 = e11 & v4 = e10 & % 47.94/7.52 | v1 = e10 & ~ (v7 = e13)) | (v15 = e10 & v8 = e12 & v2 = e12 & % 47.94/7.52 | ~ (v3 = e13)) | (v15 = e10 & v4 = e11 & v1 = e11 & ~ (v3 = % 47.94/7.52 | e13)) | (v14 = e13 & v11 = e13 & v5 = e12 & ~ (v9 = e11)) | % 47.94/7.52 | (v14 = e13 & v11 = e13 & v0 = e12 & ~ (v8 = e10)) | (v14 = e12 & % 47.94/7.52 | v11 = e12 & v5 = e13 & ~ (v13 = e11)) | (v14 = e12 & v11 = e12 % 47.94/7.52 | & v0 = e13 & ~ (v12 = e10)) | (v13 = e13 & v10 = e11 & v7 = e13 % 47.94/7.52 | & ~ (v6 = e12)) | (v13 = e13 & v7 = e13 & v0 = e11 & ~ (v4 = % 47.94/7.52 | e10)) | (v13 = e11 & v10 = e13 & v7 = e11 & ~ (v14 = e12)) | % 47.94/7.52 | (v13 = e11 & v7 = e11 & v0 = e13 & ~ (v12 = e10)) | (v12 = e13 & % 47.94/7.52 | v10 = e10 & v3 = e13 & ~ (v2 = e12)) | (v12 = e13 & v5 = e10 & % 47.94/7.52 | v3 = e13 & ~ (v1 = e11)) | (v12 = e10 & v10 = e13 & v3 = e10 & % 47.94/7.52 | ~ (v14 = e12)) | (v12 = e10 & v5 = e13 & v3 = e10 & ~ (v13 = % 47.94/7.52 | e11)) | (v10 = e12 & v5 = e12 & ~ (v9 = e11)) | (v10 = e12 & % 47.94/7.52 | v0 = e12 & ~ (v8 = e10)) | (v10 = e11 & v5 = e11 & ~ (v6 = % 47.94/7.52 | e12)) | (v10 = e11 & v4 = e10 & v1 = e10 & ~ (v6 = e12)) | % 47.94/7.52 | (v10 = e10 & v4 = e11 & v1 = e11 & ~ (v2 = e12)) | (v9 = e12 & v6 % 47.94/7.52 | = e12 & v0 = e11 & ~ (v4 = e10)) | (v9 = e11 & v6 = e11 & v0 = % 47.94/7.52 | e12 & ~ (v8 = e10)) | (v8 = e12 & v5 = e10 & v2 = e12 & ~ (v1 % 47.94/7.52 | = e11)) | (v8 = e10 & v5 = e12 & v2 = e10 & ~ (v9 = e11)) | % 47.94/7.52 | (v5 = e11 & v0 = e11 & ~ (v4 = e10)) | (v0 = e10 & ((v15 = e10 & % 47.94/7.52 | ~ (v3 = e13)) | (v10 = e10 & ~ (v2 = e12)) | (v5 = e10 & ~ % 47.94/7.52 | (v1 = e11))))) & (( ~ (v15 = e13) & ~ (v14 = e12) & ~ (v13 % 47.94/7.52 | = e11) & ~ (v12 = e10)) | ( ~ (v11 = e13) & ~ (v10 = e12) & % 47.94/7.52 | ~ (v9 = e11) & ~ (v8 = e10)) | ( ~ (v7 = e13) & ~ (v6 = e12) & % 47.94/7.52 | ~ (v5 = e11) & ~ (v4 = e10)) | ( ~ (v3 = e13) & ~ (v2 = e12) % 47.94/7.52 | & ~ (v1 = e11) & ~ (v0 = e10)))) % 47.94/7.52 | % 47.94/7.52 | ALPHA: (ax11) implies: % 47.94/7.52 | (15) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 47.94/7.52 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : % 47.94/7.52 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: % 47.94/7.52 | $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ? % 47.94/7.52 | [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i] % 47.94/7.52 | : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ? [v28: % 47.94/7.52 | $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : (op2(e23, v15) = % 47.94/7.52 | v31 & op2(e23, v11) = v30 & op2(e23, v7) = v29 & op2(e23, v3) = v28 % 47.94/7.52 | & op2(e23, e23) = v15 & op2(e23, e22) = v11 & op2(e23, e21) = v7 & % 47.94/7.52 | op2(e23, e20) = v3 & op2(e22, v14) = v27 & op2(e22, v10) = v26 & % 47.94/7.52 | op2(e22, v6) = v25 & op2(e22, v2) = v24 & op2(e22, e23) = v14 & % 47.94/7.52 | op2(e22, e22) = v10 & op2(e22, e21) = v6 & op2(e22, e20) = v2 & % 47.94/7.52 | op2(e21, v13) = v23 & op2(e21, v9) = v22 & op2(e21, v5) = v21 & % 47.94/7.52 | op2(e21, v1) = v20 & op2(e21, e23) = v13 & op2(e21, e22) = v9 & % 47.94/7.52 | op2(e21, e21) = v5 & op2(e21, e20) = v1 & op2(e20, v12) = v19 & % 47.94/7.52 | op2(e20, v8) = v18 & op2(e20, v4) = v17 & op2(e20, v0) = v16 & % 47.94/7.52 | op2(e20, e23) = v12 & op2(e20, e22) = v8 & op2(e20, e21) = v4 & % 47.94/7.52 | op2(e20, e20) = v0 & $i(v31) & $i(v30) & $i(v29) & $i(v28) & $i(v27) % 47.94/7.52 | & $i(v26) & $i(v25) & $i(v24) & $i(v23) & $i(v22) & $i(v21) & % 47.94/7.52 | $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) % 47.94/7.52 | & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & % 47.94/7.52 | $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v31 % 47.94/7.52 | = e23 | v30 = e22 | v29 = e21 | v28 = e20) & (v27 = e23 | v26 = % 47.94/7.52 | e22 | v25 = e21 | v24 = e20) & (v23 = e23 | v22 = e22 | v21 = e21 % 47.94/7.52 | | v20 = e20) & (v19 = e23 | v18 = e22 | v17 = e21 | v16 = e20) & % 47.94/7.52 | ((v15 = e23 & v10 = e23 & ~ (v14 = e22)) | (v15 = e23 & v5 = e23 & % 47.94/7.52 | ~ (v13 = e21)) | (v15 = e23 & v0 = e23 & ~ (v12 = e20)) | (v15 % 47.94/7.52 | = e22 & v10 = e22 & ~ (v11 = e23)) | (v15 = e22 & v9 = e21 & v6 % 47.94/7.52 | = e21 & ~ (v11 = e23)) | (v15 = e22 & v8 = e20 & v2 = e20 & ~ % 47.94/7.52 | (v11 = e23)) | (v15 = e21 & v9 = e22 & v6 = e22 & ~ (v7 = e23)) % 47.94/7.52 | | (v15 = e21 & v5 = e21 & ~ (v7 = e23)) | (v15 = e21 & v4 = e20 & % 47.94/7.52 | v1 = e20 & ~ (v7 = e23)) | (v15 = e20 & v8 = e22 & v2 = e22 & % 47.94/7.52 | ~ (v3 = e23)) | (v15 = e20 & v4 = e21 & v1 = e21 & ~ (v3 = % 47.94/7.52 | e23)) | (v14 = e23 & v11 = e23 & v5 = e22 & ~ (v9 = e21)) | % 47.94/7.52 | (v14 = e23 & v11 = e23 & v0 = e22 & ~ (v8 = e20)) | (v14 = e22 & % 47.94/7.52 | v11 = e22 & v5 = e23 & ~ (v13 = e21)) | (v14 = e22 & v11 = e22 % 47.94/7.52 | & v0 = e23 & ~ (v12 = e20)) | (v13 = e23 & v10 = e21 & v7 = e23 % 47.94/7.52 | & ~ (v6 = e22)) | (v13 = e23 & v7 = e23 & v0 = e21 & ~ (v4 = % 47.94/7.52 | e20)) | (v13 = e21 & v10 = e23 & v7 = e21 & ~ (v14 = e22)) | % 47.94/7.52 | (v13 = e21 & v7 = e21 & v0 = e23 & ~ (v12 = e20)) | (v12 = e23 & % 47.94/7.52 | v10 = e20 & v3 = e23 & ~ (v2 = e22)) | (v12 = e23 & v5 = e20 & % 47.94/7.52 | v3 = e23 & ~ (v1 = e21)) | (v12 = e20 & v10 = e23 & v3 = e20 & % 47.94/7.52 | ~ (v14 = e22)) | (v12 = e20 & v5 = e23 & v3 = e20 & ~ (v13 = % 47.94/7.52 | e21)) | (v10 = e22 & v5 = e22 & ~ (v9 = e21)) | (v10 = e22 & % 47.94/7.52 | v0 = e22 & ~ (v8 = e20)) | (v10 = e21 & v5 = e21 & ~ (v6 = % 47.94/7.52 | e22)) | (v10 = e21 & v4 = e20 & v1 = e20 & ~ (v6 = e22)) | % 47.94/7.52 | (v10 = e20 & v4 = e21 & v1 = e21 & ~ (v2 = e22)) | (v9 = e22 & v6 % 47.94/7.52 | = e22 & v0 = e21 & ~ (v4 = e20)) | (v9 = e21 & v6 = e21 & v0 = % 47.94/7.52 | e22 & ~ (v8 = e20)) | (v8 = e22 & v5 = e20 & v2 = e22 & ~ (v1 % 47.94/7.52 | = e21)) | (v8 = e20 & v5 = e22 & v2 = e20 & ~ (v9 = e21)) | % 47.94/7.52 | (v5 = e21 & v0 = e21 & ~ (v4 = e20)) | (v0 = e20 & ((v15 = e20 & % 47.94/7.52 | ~ (v3 = e23)) | (v10 = e20 & ~ (v2 = e22)) | (v5 = e20 & ~ % 47.94/7.52 | (v1 = e21))))) & (( ~ (v15 = e23) & ~ (v14 = e22) & ~ (v13 % 47.94/7.52 | = e21) & ~ (v12 = e20)) | ( ~ (v11 = e23) & ~ (v10 = e22) & % 47.94/7.52 | ~ (v9 = e21) & ~ (v8 = e20)) | ( ~ (v7 = e23) & ~ (v6 = e22) & % 47.94/7.52 | ~ (v5 = e21) & ~ (v4 = e20)) | ( ~ (v3 = e23) & ~ (v2 = e22) % 47.94/7.52 | & ~ (v1 = e21) & ~ (v0 = e20)))) % 47.94/7.52 | % 47.94/7.52 | ALPHA: (ax12) implies: % 47.94/7.52 | (16) op1(e12, e11) = e10 % 47.94/7.53 | (17) op1(e13, e12) = e11 % 47.94/7.53 | (18) op1(e13, e13) = e12 % 47.94/7.53 | % 47.94/7.53 | ALPHA: (ax13) implies: % 47.94/7.53 | (19) op2(e22, e21) = e20 % 47.94/7.53 | (20) op2(e23, e22) = e21 % 47.94/7.53 | (21) op2(e23, e23) = e22 % 47.94/7.53 | % 47.94/7.53 | ALPHA: (ax14) implies: % 47.94/7.53 | (22) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (h1(e13) = e20 & h1(e12) = % 47.94/7.53 | v1 & h1(e11) = v2 & h1(e10) = v0 & op2(v1, v2) = v0 & op2(e20, v1) = % 47.94/7.53 | v2 & op2(e20, e20) = v1 & $i(v2) & $i(v1) & $i(v0)) % 47.94/7.53 | % 47.94/7.53 | ALPHA: (ax15) implies: % 47.94/7.53 | (23) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (h2(e13) = e21 & h2(e12) = % 47.94/7.53 | v1 & h2(e11) = v2 & h2(e10) = v0 & op2(v1, v2) = v0 & op2(e21, v1) = % 47.94/7.53 | v2 & op2(e21, e21) = v1 & $i(v2) & $i(v1) & $i(v0)) % 47.94/7.53 | % 47.94/7.53 | ALPHA: (ax16) implies: % 47.94/7.53 | (24) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (h3(e13) = e22 & h3(e12) = % 47.94/7.53 | v1 & h3(e11) = v2 & h3(e10) = v0 & op2(v1, v2) = v0 & op2(e22, v1) = % 47.94/7.53 | v2 & op2(e22, e22) = v1 & $i(v2) & $i(v1) & $i(v0)) % 47.94/7.53 | % 47.94/7.53 | ALPHA: (ax17) implies: % 47.94/7.53 | (25) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (h4(e13) = e23 & h4(e12) = % 47.94/7.53 | v1 & h4(e11) = v2 & h4(e10) = v0 & op2(v1, v2) = v0 & op2(e23, v1) = % 47.94/7.53 | v2 & op2(e23, e23) = v1 & $i(v2) & $i(v1) & $i(v0)) % 47.94/7.53 | % 47.94/7.53 | ALPHA: (co1) implies: % 47.94/7.55 | (26) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 47.94/7.55 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : % 47.94/7.55 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: % 47.94/7.55 | $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ? % 47.94/7.55 | [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i] % 47.94/7.55 | : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ? [v28: % 47.94/7.55 | $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : ? [v32: $i] : ? % 47.94/7.55 | [v33: $i] : ? [v34: $i] : ? [v35: $i] : ? [v36: $i] : ? [v37: $i] % 47.94/7.55 | : ? [v38: $i] : ? [v39: $i] : ? [v40: $i] : ? [v41: $i] : ? [v42: % 47.94/7.55 | $i] : ? [v43: $i] : ? [v44: $i] : ? [v45: $i] : ? [v46: $i] : ? % 47.94/7.55 | [v47: $i] : ? [v48: $i] : ? [v49: $i] : ? [v50: $i] : ? [v51: $i] % 47.94/7.55 | : ? [v52: $i] : ? [v53: $i] : ? [v54: $i] : ? [v55: $i] : ? [v56: % 47.94/7.55 | $i] : ? [v57: $i] : ? [v58: $i] : ? [v59: $i] : ? [v60: $i] : ? % 47.94/7.55 | [v61: $i] : ? [v62: $i] : ? [v63: $i] : ? [v64: $i] : ? [v65: $i] % 47.94/7.55 | : ? [v66: $i] : ? [v67: $i] : ? [v68: $i] : ? [v69: $i] : ? [v70: % 47.94/7.55 | $i] : ? [v71: $i] : ? [v72: $i] : ? [v73: $i] : ? [v74: $i] : ? % 47.94/7.55 | [v75: $i] : ? [v76: $i] : ? [v77: $i] : ? [v78: $i] : ? [v79: $i] % 47.94/7.55 | : ? [v80: $i] : ? [v81: $i] : ? [v82: $i] : ? [v83: $i] : ? [v84: % 47.94/7.55 | $i] : ? [v85: $i] : ? [v86: $i] : ? [v87: $i] : ? [v88: $i] : ? % 47.94/7.55 | [v89: $i] : ? [v90: $i] : ? [v91: $i] : ? [v92: $i] : ? [v93: $i] % 47.94/7.55 | : ? [v94: $i] : ? [v95: $i] : ? [v96: $i] : ? [v97: $i] : ? [v98: % 47.94/7.55 | $i] : ? [v99: $i] : ? [v100: $i] : ? [v101: $i] : ? [v102: $i] : % 47.94/7.55 | ? [v103: $i] : ? [v104: $i] : ? [v105: $i] : ? [v106: $i] : ? % 47.94/7.55 | [v107: $i] : ? [v108: $i] : ? [v109: $i] : ? [v110: $i] : ? [v111: % 47.94/7.55 | $i] : ? [v112: $i] : ? [v113: $i] : ? [v114: $i] : ? [v115: $i] % 47.94/7.55 | : ? [v116: $i] : ? [v117: $i] : ? [v118: $i] : ? [v119: $i] : ? % 47.94/7.55 | [v120: $i] : ? [v121: $i] : ? [v122: $i] : ? [v123: $i] : ? [v124: % 47.94/7.55 | $i] : ? [v125: $i] : ? [v126: $i] : ? [v127: $i] : ? [v128: $i] % 47.94/7.55 | : ? [v129: $i] : ? [v130: $i] : ? [v131: $i] : ? [v132: $i] : ? % 47.94/7.55 | [v133: $i] : ? [v134: $i] : ? [v135: $i] : ? [v136: $i] : ? [v137: % 47.94/7.55 | $i] : ? [v138: $i] : ? [v139: $i] : ? [v140: $i] : ? [v141: $i] % 47.94/7.55 | : ? [v142: $i] : ? [v143: $i] : ? [v144: $i] : ? [v145: $i] : ? % 47.94/7.55 | [v146: $i] : ? [v147: $i] : ? [v148: $i] : ? [v149: $i] : ? [v150: % 47.94/7.55 | $i] : ? [v151: $i] : ? [v152: $i] : ? [v153: $i] : ? [v154: $i] % 47.94/7.55 | : ? [v155: $i] : ? [v156: $i] : ? [v157: $i] : ? [v158: $i] : ? % 47.94/7.55 | [v159: $i] : (h4(v49) = v158 & h4(v46) = v156 & h4(v43) = v154 & % 47.94/7.55 | h4(v40) = v152 & h4(v37) = v150 & h4(v34) = v148 & h4(v31) = v146 & % 47.94/7.55 | h4(v28) = v144 & h4(v25) = v142 & h4(v22) = v140 & h4(v19) = v138 & % 47.94/7.55 | h4(v16) = v136 & h4(v12) = v133 & h4(v8) = v130 & h4(v4) = v127 & % 47.94/7.55 | h4(v0) = v124 & h4(e13) = v134 & h4(e12) = v131 & h4(e11) = v128 & % 47.94/7.55 | h4(e10) = v125 & h3(v49) = v122 & h3(v46) = v120 & h3(v43) = v118 & % 47.94/7.55 | h3(v40) = v116 & h3(v37) = v114 & h3(v34) = v112 & h3(v31) = v110 & % 47.94/7.55 | h3(v28) = v108 & h3(v25) = v106 & h3(v22) = v104 & h3(v19) = v102 & % 47.94/7.55 | h3(v16) = v100 & h3(v12) = v97 & h3(v8) = v94 & h3(v4) = v91 & % 47.94/7.55 | h3(v0) = v88 & h3(e13) = v98 & h3(e12) = v95 & h3(e11) = v92 & % 47.94/7.55 | h3(e10) = v89 & h2(v49) = v86 & h2(v46) = v84 & h2(v43) = v82 & % 47.94/7.55 | h2(v40) = v80 & h2(v37) = v78 & h2(v34) = v76 & h2(v31) = v74 & % 47.94/7.55 | h2(v28) = v72 & h2(v25) = v70 & h2(v22) = v68 & h2(v19) = v66 & % 47.94/7.55 | h2(v16) = v64 & h2(v12) = v61 & h2(v8) = v58 & h2(v4) = v55 & h2(v0) % 47.94/7.55 | = v52 & h2(e13) = v62 & h2(e12) = v59 & h2(e11) = v56 & h2(e10) = % 47.94/7.55 | v53 & h1(v49) = v50 & h1(v46) = v47 & h1(v43) = v44 & h1(v40) = v41 % 47.94/7.55 | & h1(v37) = v38 & h1(v34) = v35 & h1(v31) = v32 & h1(v28) = v29 & % 47.94/7.55 | h1(v25) = v26 & h1(v22) = v23 & h1(v19) = v20 & h1(v16) = v17 & % 47.94/7.55 | h1(v12) = v13 & h1(v8) = v9 & h1(v4) = v5 & h1(v0) = v1 & h1(e13) = % 47.94/7.55 | v14 & h1(e12) = v10 & h1(e11) = v6 & h1(e10) = v2 & op2(v134, v134) % 47.94/7.55 | = v159 & op2(v134, v131) = v157 & op2(v134, v128) = v155 & op2(v134, % 47.94/7.55 | v125) = v153 & op2(v131, v134) = v151 & op2(v131, v131) = v149 & % 47.94/7.55 | op2(v131, v128) = v147 & op2(v131, v125) = v145 & op2(v128, v134) = % 47.94/7.55 | v143 & op2(v128, v131) = v141 & op2(v128, v128) = v139 & op2(v128, % 47.94/7.55 | v125) = v137 & op2(v125, v134) = v135 & op2(v125, v131) = v132 & % 47.94/7.55 | op2(v125, v128) = v129 & op2(v125, v125) = v126 & op2(v98, v98) = % 47.94/7.55 | v123 & op2(v98, v95) = v121 & op2(v98, v92) = v119 & op2(v98, v89) = % 47.94/7.55 | v117 & op2(v95, v98) = v115 & op2(v95, v95) = v113 & op2(v95, v92) = % 47.94/7.55 | v111 & op2(v95, v89) = v109 & op2(v92, v98) = v107 & op2(v92, v95) = % 47.94/7.55 | v105 & op2(v92, v92) = v103 & op2(v92, v89) = v101 & op2(v89, v98) = % 47.94/7.55 | v99 & op2(v89, v95) = v96 & op2(v89, v92) = v93 & op2(v89, v89) = % 47.94/7.55 | v90 & op2(v62, v62) = v87 & op2(v62, v59) = v85 & op2(v62, v56) = % 47.94/7.55 | v83 & op2(v62, v53) = v81 & op2(v59, v62) = v79 & op2(v59, v59) = % 47.94/7.55 | v77 & op2(v59, v56) = v75 & op2(v59, v53) = v73 & op2(v56, v62) = % 47.94/7.55 | v71 & op2(v56, v59) = v69 & op2(v56, v56) = v67 & op2(v56, v53) = % 47.94/7.55 | v65 & op2(v53, v62) = v63 & op2(v53, v59) = v60 & op2(v53, v56) = % 47.94/7.55 | v57 & op2(v53, v53) = v54 & op2(v14, v14) = v51 & op2(v14, v10) = % 47.94/7.55 | v48 & op2(v14, v6) = v45 & op2(v14, v2) = v42 & op2(v10, v14) = v39 % 47.94/7.55 | & op2(v10, v10) = v36 & op2(v10, v6) = v33 & op2(v10, v2) = v30 & % 47.94/7.55 | op2(v6, v14) = v27 & op2(v6, v10) = v24 & op2(v6, v6) = v21 & % 47.94/7.55 | op2(v6, v2) = v18 & op2(v2, v14) = v15 & op2(v2, v10) = v11 & % 47.94/7.55 | op2(v2, v6) = v7 & op2(v2, v2) = v3 & op1(e13, e13) = v49 & op1(e13, % 47.94/7.55 | e12) = v46 & op1(e13, e11) = v43 & op1(e13, e10) = v40 & op1(e12, % 47.94/7.55 | e13) = v37 & op1(e12, e12) = v34 & op1(e12, e11) = v31 & op1(e12, % 47.94/7.55 | e10) = v28 & op1(e11, e13) = v25 & op1(e11, e12) = v22 & op1(e11, % 47.94/7.55 | e11) = v19 & op1(e11, e10) = v16 & op1(e10, e13) = v12 & op1(e10, % 47.94/7.55 | e12) = v8 & op1(e10, e11) = v4 & op1(e10, e10) = v0 & $i(v159) & % 47.94/7.55 | $i(v158) & $i(v157) & $i(v156) & $i(v155) & $i(v154) & $i(v153) & % 47.94/7.55 | $i(v152) & $i(v151) & $i(v150) & $i(v149) & $i(v148) & $i(v147) & % 47.94/7.55 | $i(v146) & $i(v145) & $i(v144) & $i(v143) & $i(v142) & $i(v141) & % 47.94/7.55 | $i(v140) & $i(v139) & $i(v138) & $i(v137) & $i(v136) & $i(v135) & % 47.94/7.55 | $i(v134) & $i(v133) & $i(v132) & $i(v131) & $i(v130) & $i(v129) & % 47.94/7.55 | $i(v128) & $i(v127) & $i(v126) & $i(v125) & $i(v124) & $i(v123) & % 47.94/7.55 | $i(v122) & $i(v121) & $i(v120) & $i(v119) & $i(v118) & $i(v117) & % 47.94/7.55 | $i(v116) & $i(v115) & $i(v114) & $i(v113) & $i(v112) & $i(v111) & % 47.94/7.55 | $i(v110) & $i(v109) & $i(v108) & $i(v107) & $i(v106) & $i(v105) & % 47.94/7.55 | $i(v104) & $i(v103) & $i(v102) & $i(v101) & $i(v100) & $i(v99) & % 47.94/7.55 | $i(v98) & $i(v97) & $i(v96) & $i(v95) & $i(v94) & $i(v93) & $i(v92) % 47.94/7.55 | & $i(v91) & $i(v90) & $i(v89) & $i(v88) & $i(v87) & $i(v86) & % 47.94/7.55 | $i(v85) & $i(v84) & $i(v83) & $i(v82) & $i(v81) & $i(v80) & $i(v79) % 47.94/7.55 | & $i(v78) & $i(v77) & $i(v76) & $i(v75) & $i(v74) & $i(v73) & % 47.94/7.55 | $i(v72) & $i(v71) & $i(v70) & $i(v69) & $i(v68) & $i(v67) & $i(v66) % 47.94/7.55 | & $i(v65) & $i(v64) & $i(v63) & $i(v62) & $i(v61) & $i(v60) & % 47.94/7.55 | $i(v59) & $i(v58) & $i(v57) & $i(v56) & $i(v55) & $i(v54) & $i(v53) % 47.94/7.55 | & $i(v52) & $i(v51) & $i(v50) & $i(v49) & $i(v48) & $i(v47) & % 47.94/7.55 | $i(v46) & $i(v45) & $i(v44) & $i(v43) & $i(v42) & $i(v41) & $i(v40) % 47.94/7.55 | & $i(v39) & $i(v38) & $i(v37) & $i(v36) & $i(v35) & $i(v34) & % 47.94/7.55 | $i(v33) & $i(v32) & $i(v31) & $i(v30) & $i(v29) & $i(v28) & $i(v27) % 47.94/7.55 | & $i(v26) & $i(v25) & $i(v24) & $i(v23) & $i(v22) & $i(v21) & % 47.94/7.55 | $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) % 47.94/7.55 | & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & % 47.94/7.55 | $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ( ~ % 47.94/7.55 | (v159 = v158) | ~ (v157 = v156) | ~ (v155 = v154) | ~ (v153 = % 47.94/7.55 | v152) | ~ (v151 = v150) | ~ (v149 = v148) | ~ (v147 = v146) | % 47.94/7.55 | ~ (v145 = v144) | ~ (v143 = v142) | ~ (v141 = v140) | ~ (v139 % 47.94/7.55 | = v138) | ~ (v137 = v136) | ~ (v135 = v133) | ~ (v132 = v130) % 47.94/7.55 | | ~ (v129 = v127) | ~ (v126 = v124) | ( ~ (v134 = e23) & ~ % 47.94/7.55 | (v131 = e23) & ~ (v128 = e23) & ~ (v125 = e23)) | ( ~ (v134 = % 47.94/7.55 | e22) & ~ (v131 = e22) & ~ (v128 = e22) & ~ (v125 = e22)) | % 47.94/7.55 | ( ~ (v134 = e21) & ~ (v131 = e21) & ~ (v128 = e21) & ~ (v125 = % 47.94/7.55 | e21)) | ( ~ (v134 = e20) & ~ (v131 = e20) & ~ (v128 = e20) & % 47.94/7.55 | ~ (v125 = e20))) & ( ~ (v123 = v122) | ~ (v121 = v120) | ~ % 47.94/7.55 | (v119 = v118) | ~ (v117 = v116) | ~ (v115 = v114) | ~ (v113 = % 47.94/7.55 | v112) | ~ (v111 = v110) | ~ (v109 = v108) | ~ (v107 = v106) | % 47.94/7.55 | ~ (v105 = v104) | ~ (v103 = v102) | ~ (v101 = v100) | ~ (v99 = % 47.94/7.55 | v97) | ~ (v96 = v94) | ~ (v93 = v91) | ~ (v90 = v88) | ( ~ % 47.94/7.55 | (v98 = e23) & ~ (v95 = e23) & ~ (v92 = e23) & ~ (v89 = e23)) % 47.94/7.55 | | ( ~ (v98 = e22) & ~ (v95 = e22) & ~ (v92 = e22) & ~ (v89 = % 47.94/7.55 | e22)) | ( ~ (v98 = e21) & ~ (v95 = e21) & ~ (v92 = e21) & ~ % 47.94/7.55 | (v89 = e21)) | ( ~ (v98 = e20) & ~ (v95 = e20) & ~ (v92 = e20) % 47.94/7.55 | & ~ (v89 = e20))) & ( ~ (v87 = v86) | ~ (v85 = v84) | ~ (v83 % 47.94/7.55 | = v82) | ~ (v81 = v80) | ~ (v79 = v78) | ~ (v77 = v76) | ~ % 47.94/7.55 | (v75 = v74) | ~ (v73 = v72) | ~ (v71 = v70) | ~ (v69 = v68) | % 47.94/7.55 | ~ (v67 = v66) | ~ (v65 = v64) | ~ (v63 = v61) | ~ (v60 = v58) | % 47.94/7.55 | ~ (v57 = v55) | ~ (v54 = v52) | ( ~ (v62 = e23) & ~ (v59 = e23) % 47.94/7.55 | & ~ (v56 = e23) & ~ (v53 = e23)) | ( ~ (v62 = e22) & ~ (v59 = % 47.94/7.55 | e22) & ~ (v56 = e22) & ~ (v53 = e22)) | ( ~ (v62 = e21) & ~ % 47.94/7.55 | (v59 = e21) & ~ (v56 = e21) & ~ (v53 = e21)) | ( ~ (v62 = e20) % 47.94/7.55 | & ~ (v59 = e20) & ~ (v56 = e20) & ~ (v53 = e20))) & ( ~ (v51 % 47.94/7.55 | = v50) | ~ (v48 = v47) | ~ (v45 = v44) | ~ (v42 = v41) | ~ % 47.94/7.55 | (v39 = v38) | ~ (v36 = v35) | ~ (v33 = v32) | ~ (v30 = v29) | % 47.94/7.55 | ~ (v27 = v26) | ~ (v24 = v23) | ~ (v21 = v20) | ~ (v18 = v17) | % 47.94/7.55 | ~ (v15 = v13) | ~ (v11 = v9) | ~ (v7 = v5) | ~ (v3 = v1) | ( ~ % 47.94/7.55 | (v14 = e23) & ~ (v10 = e23) & ~ (v6 = e23) & ~ (v2 = e23)) | % 47.94/7.55 | ( ~ (v14 = e22) & ~ (v10 = e22) & ~ (v6 = e22) & ~ (v2 = e22)) % 47.94/7.55 | | ( ~ (v14 = e21) & ~ (v10 = e21) & ~ (v6 = e21) & ~ (v2 = % 47.94/7.55 | e21)) | ( ~ (v14 = e20) & ~ (v10 = e20) & ~ (v6 = e20) & ~ % 47.94/7.55 | (v2 = e20)))) % 47.94/7.55 | % 47.94/7.55 | ALPHA: (function-axioms) implies: % 47.94/7.55 | (27) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h1(v2) = v1) % 47.94/7.55 | | ~ (h1(v2) = v0)) % 47.94/7.55 | (28) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h2(v2) = v1) % 47.94/7.55 | | ~ (h2(v2) = v0)) % 47.94/7.55 | (29) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h3(v2) = v1) % 47.94/7.55 | | ~ (h3(v2) = v0)) % 47.94/7.55 | (30) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h4(v2) = v1) % 47.94/7.55 | | ~ (h4(v2) = v0)) % 47.94/7.55 | (31) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 47.94/7.55 | (op1(v3, v2) = v1) | ~ (op1(v3, v2) = v0)) % 47.94/7.55 | (32) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 47.94/7.55 | (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0)) % 47.94/7.55 | % 47.94/7.55 | DELTA: instantiating (23) with fresh symbols all_4_0, all_4_1, all_4_2 gives: % 47.94/7.55 | (33) h2(e13) = e21 & h2(e12) = all_4_1 & h2(e11) = all_4_0 & h2(e10) = % 47.94/7.55 | all_4_2 & op2(all_4_1, all_4_0) = all_4_2 & op2(e21, all_4_1) = % 47.94/7.55 | all_4_0 & op2(e21, e21) = all_4_1 & $i(all_4_0) & $i(all_4_1) & % 47.94/7.55 | $i(all_4_2) % 47.94/7.55 | % 47.94/7.55 | ALPHA: (33) implies: % 47.94/7.55 | (34) op2(e21, e21) = all_4_1 % 47.94/7.55 | (35) op2(e21, all_4_1) = all_4_0 % 47.94/7.55 | (36) h2(e12) = all_4_1 % 47.94/7.55 | (37) h2(e13) = e21 % 47.94/7.55 | % 47.94/7.55 | DELTA: instantiating (24) with fresh symbols all_6_0, all_6_1, all_6_2 gives: % 47.94/7.55 | (38) h3(e13) = e22 & h3(e12) = all_6_1 & h3(e11) = all_6_0 & h3(e10) = % 47.94/7.55 | all_6_2 & op2(all_6_1, all_6_0) = all_6_2 & op2(e22, all_6_1) = % 47.94/7.55 | all_6_0 & op2(e22, e22) = all_6_1 & $i(all_6_0) & $i(all_6_1) & % 47.94/7.55 | $i(all_6_2) % 47.94/7.55 | % 47.94/7.55 | ALPHA: (38) implies: % 47.94/7.55 | (39) op2(e22, e22) = all_6_1 % 47.94/7.55 | (40) op2(e22, all_6_1) = all_6_0 % 47.94/7.55 | (41) h3(e12) = all_6_1 % 47.94/7.55 | (42) h3(e13) = e22 % 47.94/7.55 | % 47.94/7.55 | DELTA: instantiating (25) with fresh symbols all_8_0, all_8_1, all_8_2 gives: % 47.94/7.55 | (43) h4(e13) = e23 & h4(e12) = all_8_1 & h4(e11) = all_8_0 & h4(e10) = % 47.94/7.55 | all_8_2 & op2(all_8_1, all_8_0) = all_8_2 & op2(e23, all_8_1) = % 47.94/7.55 | all_8_0 & op2(e23, e23) = all_8_1 & $i(all_8_0) & $i(all_8_1) & % 47.94/7.55 | $i(all_8_2) % 47.94/7.55 | % 47.94/7.55 | ALPHA: (43) implies: % 47.94/7.55 | (44) op2(e23, e23) = all_8_1 % 47.94/7.55 | (45) op2(e23, all_8_1) = all_8_0 % 47.94/7.55 | (46) op2(all_8_1, all_8_0) = all_8_2 % 47.94/7.55 | (47) h4(e10) = all_8_2 % 47.94/7.55 | (48) h4(e11) = all_8_0 % 47.94/7.55 | (49) h4(e12) = all_8_1 % 47.94/7.55 | (50) h4(e13) = e23 % 47.94/7.55 | % 47.94/7.55 | DELTA: instantiating (22) with fresh symbols all_10_0, all_10_1, all_10_2 % 47.94/7.55 | gives: % 47.94/7.55 | (51) h1(e13) = e20 & h1(e12) = all_10_1 & h1(e11) = all_10_0 & h1(e10) = % 47.94/7.55 | all_10_2 & op2(all_10_1, all_10_0) = all_10_2 & op2(e20, all_10_1) = % 47.94/7.55 | all_10_0 & op2(e20, e20) = all_10_1 & $i(all_10_0) & $i(all_10_1) & % 47.94/7.55 | $i(all_10_2) % 47.94/7.55 | % 47.94/7.55 | ALPHA: (51) implies: % 47.94/7.55 | (52) op2(e20, e20) = all_10_1 % 47.94/7.55 | (53) op2(e20, all_10_1) = all_10_0 % 47.94/7.55 | (54) h1(e12) = all_10_1 % 47.94/7.56 | (55) h1(e13) = e20 % 47.94/7.56 | % 47.94/7.56 | DELTA: instantiating (5) with fresh symbols all_12_0, all_12_1, all_12_2, % 47.94/7.56 | all_12_3, all_12_4, all_12_5, all_12_6, all_12_7, all_12_8, all_12_9, % 47.94/7.56 | all_12_10, all_12_11, all_12_12, all_12_13, all_12_14, all_12_15 gives: % 47.94/7.56 | (56) ~ (all_12_0 = all_12_1) & ~ (all_12_0 = all_12_2) & ~ (all_12_0 = % 47.94/7.56 | all_12_3) & ~ (all_12_0 = all_12_4) & ~ (all_12_0 = all_12_8) & ~ % 47.94/7.56 | (all_12_0 = all_12_12) & ~ (all_12_1 = all_12_2) & ~ (all_12_1 = % 47.94/7.56 | all_12_3) & ~ (all_12_1 = all_12_5) & ~ (all_12_1 = all_12_9) & ~ % 47.94/7.56 | (all_12_1 = all_12_13) & ~ (all_12_2 = all_12_3) & ~ (all_12_2 = % 47.94/7.56 | all_12_6) & ~ (all_12_2 = all_12_10) & ~ (all_12_2 = all_12_14) & % 47.94/7.56 | ~ (all_12_3 = all_12_7) & ~ (all_12_3 = all_12_11) & ~ (all_12_3 = % 47.94/7.56 | all_12_15) & ~ (all_12_4 = all_12_5) & ~ (all_12_4 = all_12_6) & % 47.94/7.56 | ~ (all_12_4 = all_12_7) & ~ (all_12_4 = all_12_8) & ~ (all_12_4 = % 47.94/7.56 | all_12_12) & ~ (all_12_5 = all_12_6) & ~ (all_12_5 = all_12_7) & % 47.94/7.56 | ~ (all_12_5 = all_12_9) & ~ (all_12_5 = all_12_13) & ~ (all_12_6 = % 47.94/7.56 | all_12_7) & ~ (all_12_6 = all_12_10) & ~ (all_12_6 = all_12_14) & % 47.94/7.56 | ~ (all_12_7 = all_12_11) & ~ (all_12_7 = all_12_15) & ~ (all_12_8 = % 47.94/7.56 | all_12_9) & ~ (all_12_8 = all_12_10) & ~ (all_12_8 = all_12_11) & % 47.94/7.56 | ~ (all_12_8 = all_12_12) & ~ (all_12_9 = all_12_10) & ~ (all_12_9 = % 47.94/7.56 | all_12_11) & ~ (all_12_9 = all_12_13) & ~ (all_12_10 = all_12_11) % 47.94/7.56 | & ~ (all_12_10 = all_12_14) & ~ (all_12_11 = all_12_15) & ~ % 47.94/7.56 | (all_12_12 = all_12_13) & ~ (all_12_12 = all_12_14) & ~ (all_12_12 = % 47.94/7.56 | all_12_15) & ~ (all_12_13 = all_12_14) & ~ (all_12_13 = all_12_15) % 47.94/7.56 | & ~ (all_12_14 = all_12_15) & op1(e13, e13) = all_12_0 & op1(e13, % 47.94/7.56 | e12) = all_12_4 & op1(e13, e11) = all_12_8 & op1(e13, e10) = % 47.94/7.56 | all_12_12 & op1(e12, e13) = all_12_1 & op1(e12, e12) = all_12_5 & % 47.94/7.56 | op1(e12, e11) = all_12_9 & op1(e12, e10) = all_12_13 & op1(e11, e13) = % 47.94/7.56 | all_12_2 & op1(e11, e12) = all_12_6 & op1(e11, e11) = all_12_10 & % 47.94/7.56 | op1(e11, e10) = all_12_14 & op1(e10, e13) = all_12_3 & op1(e10, e12) = % 47.94/7.56 | all_12_7 & op1(e10, e11) = all_12_11 & op1(e10, e10) = all_12_15 & % 47.94/7.56 | $i(all_12_0) & $i(all_12_1) & $i(all_12_2) & $i(all_12_3) & % 47.94/7.56 | $i(all_12_4) & $i(all_12_5) & $i(all_12_6) & $i(all_12_7) & % 47.94/7.56 | $i(all_12_8) & $i(all_12_9) & $i(all_12_10) & $i(all_12_11) & % 47.94/7.56 | $i(all_12_12) & $i(all_12_13) & $i(all_12_14) & $i(all_12_15) % 47.94/7.56 | % 47.94/7.56 | ALPHA: (56) implies: % 47.94/7.56 | (57) ~ (all_12_14 = all_12_15) % 47.94/7.56 | (58) ~ (all_12_13 = all_12_15) % 47.94/7.56 | (59) ~ (all_12_13 = all_12_14) % 47.94/7.56 | (60) ~ (all_12_12 = all_12_15) % 47.94/7.56 | (61) ~ (all_12_12 = all_12_14) % 47.94/7.56 | (62) ~ (all_12_11 = all_12_15) % 47.94/7.56 | (63) ~ (all_12_10 = all_12_14) % 47.94/7.56 | (64) ~ (all_12_10 = all_12_11) % 47.94/7.56 | (65) ~ (all_12_9 = all_12_11) % 47.94/7.56 | (66) ~ (all_12_9 = all_12_10) % 47.94/7.56 | (67) ~ (all_12_8 = all_12_12) % 47.94/7.56 | (68) ~ (all_12_8 = all_12_11) % 47.94/7.56 | (69) ~ (all_12_8 = all_12_10) % 47.94/7.56 | (70) ~ (all_12_8 = all_12_9) % 47.94/7.56 | (71) ~ (all_12_7 = all_12_15) % 47.94/7.56 | (72) ~ (all_12_7 = all_12_11) % 47.94/7.56 | (73) ~ (all_12_6 = all_12_14) % 47.94/7.56 | (74) ~ (all_12_6 = all_12_7) % 47.94/7.56 | (75) ~ (all_12_5 = all_12_9) % 47.94/7.56 | (76) ~ (all_12_5 = all_12_7) % 47.94/7.56 | (77) ~ (all_12_5 = all_12_6) % 47.94/7.56 | (78) ~ (all_12_4 = all_12_12) % 47.94/7.56 | (79) ~ (all_12_4 = all_12_8) % 47.94/7.56 | (80) ~ (all_12_4 = all_12_7) % 47.94/7.56 | (81) ~ (all_12_4 = all_12_5) % 47.94/7.56 | (82) ~ (all_12_3 = all_12_15) % 47.94/7.56 | (83) ~ (all_12_3 = all_12_11) % 47.94/7.56 | (84) ~ (all_12_3 = all_12_7) % 47.94/7.56 | (85) ~ (all_12_2 = all_12_14) % 47.94/7.56 | (86) ~ (all_12_2 = all_12_10) % 47.94/7.56 | (87) ~ (all_12_2 = all_12_6) % 47.94/7.56 | (88) ~ (all_12_2 = all_12_3) % 47.94/7.56 | (89) ~ (all_12_1 = all_12_13) % 47.94/7.56 | (90) ~ (all_12_1 = all_12_9) % 47.94/7.56 | (91) ~ (all_12_1 = all_12_5) % 47.94/7.56 | (92) ~ (all_12_1 = all_12_3) % 47.94/7.56 | (93) ~ (all_12_1 = all_12_2) % 47.94/7.56 | (94) ~ (all_12_0 = all_12_12) % 47.94/7.56 | (95) ~ (all_12_0 = all_12_8) % 47.94/7.56 | (96) ~ (all_12_0 = all_12_3) % 47.94/7.56 | (97) ~ (all_12_0 = all_12_2) % 47.94/7.56 | (98) ~ (all_12_0 = all_12_1) % 47.94/7.56 | (99) op1(e10, e10) = all_12_15 % 47.94/7.56 | (100) op1(e10, e11) = all_12_11 % 47.94/7.56 | (101) op1(e10, e12) = all_12_7 % 47.94/7.56 | (102) op1(e10, e13) = all_12_3 % 47.94/7.56 | (103) op1(e11, e10) = all_12_14 % 47.94/7.56 | (104) op1(e11, e11) = all_12_10 % 47.94/7.56 | (105) op1(e11, e12) = all_12_6 % 47.94/7.56 | (106) op1(e11, e13) = all_12_2 % 47.94/7.56 | (107) op1(e12, e10) = all_12_13 % 47.94/7.56 | (108) op1(e12, e11) = all_12_9 % 47.94/7.56 | (109) op1(e12, e12) = all_12_5 % 47.94/7.56 | (110) op1(e12, e13) = all_12_1 % 47.94/7.56 | (111) op1(e13, e10) = all_12_12 % 47.94/7.56 | (112) op1(e13, e11) = all_12_8 % 47.94/7.56 | (113) op1(e13, e12) = all_12_4 % 47.94/7.56 | (114) op1(e13, e13) = all_12_0 % 47.94/7.56 | % 47.94/7.56 | DELTA: instantiating (6) with fresh symbols all_14_0, all_14_1, all_14_2, % 47.94/7.56 | all_14_3, all_14_4, all_14_5, all_14_6, all_14_7, all_14_8, all_14_9, % 47.94/7.56 | all_14_10, all_14_11, all_14_12, all_14_13, all_14_14, all_14_15 gives: % 47.94/7.57 | (115) ~ (all_14_0 = all_14_1) & ~ (all_14_0 = all_14_2) & ~ (all_14_0 = % 47.94/7.57 | all_14_3) & ~ (all_14_0 = all_14_4) & ~ (all_14_0 = all_14_8) & % 47.94/7.57 | ~ (all_14_0 = all_14_12) & ~ (all_14_1 = all_14_2) & ~ (all_14_1 = % 47.94/7.57 | all_14_3) & ~ (all_14_1 = all_14_5) & ~ (all_14_1 = all_14_9) & % 47.94/7.57 | ~ (all_14_1 = all_14_13) & ~ (all_14_2 = all_14_3) & ~ (all_14_2 = % 47.94/7.57 | all_14_6) & ~ (all_14_2 = all_14_10) & ~ (all_14_2 = all_14_14) & % 47.94/7.57 | ~ (all_14_3 = all_14_7) & ~ (all_14_3 = all_14_11) & ~ (all_14_3 = % 47.94/7.57 | all_14_15) & ~ (all_14_4 = all_14_5) & ~ (all_14_4 = all_14_6) & % 47.94/7.57 | ~ (all_14_4 = all_14_7) & ~ (all_14_4 = all_14_8) & ~ (all_14_4 = % 47.94/7.57 | all_14_12) & ~ (all_14_5 = all_14_6) & ~ (all_14_5 = all_14_7) & % 47.94/7.57 | ~ (all_14_5 = all_14_9) & ~ (all_14_5 = all_14_13) & ~ (all_14_6 = % 47.94/7.57 | all_14_7) & ~ (all_14_6 = all_14_10) & ~ (all_14_6 = all_14_14) & % 47.94/7.57 | ~ (all_14_7 = all_14_11) & ~ (all_14_7 = all_14_15) & ~ (all_14_8 % 47.94/7.57 | = all_14_9) & ~ (all_14_8 = all_14_10) & ~ (all_14_8 = all_14_11) % 47.94/7.57 | & ~ (all_14_8 = all_14_12) & ~ (all_14_9 = all_14_10) & ~ % 47.94/7.57 | (all_14_9 = all_14_11) & ~ (all_14_9 = all_14_13) & ~ (all_14_10 = % 47.94/7.57 | all_14_11) & ~ (all_14_10 = all_14_14) & ~ (all_14_11 = % 47.94/7.57 | all_14_15) & ~ (all_14_12 = all_14_13) & ~ (all_14_12 = % 47.94/7.57 | all_14_14) & ~ (all_14_12 = all_14_15) & ~ (all_14_13 = % 47.94/7.57 | all_14_14) & ~ (all_14_13 = all_14_15) & ~ (all_14_14 = % 47.94/7.57 | all_14_15) & op2(e23, e23) = all_14_0 & op2(e23, e22) = all_14_4 & % 47.94/7.57 | op2(e23, e21) = all_14_8 & op2(e23, e20) = all_14_12 & op2(e22, e23) % 47.94/7.57 | = all_14_1 & op2(e22, e22) = all_14_5 & op2(e22, e21) = all_14_9 & % 47.94/7.57 | op2(e22, e20) = all_14_13 & op2(e21, e23) = all_14_2 & op2(e21, e22) % 47.94/7.57 | = all_14_6 & op2(e21, e21) = all_14_10 & op2(e21, e20) = all_14_14 & % 47.94/7.57 | op2(e20, e23) = all_14_3 & op2(e20, e22) = all_14_7 & op2(e20, e21) = % 47.94/7.57 | all_14_11 & op2(e20, e20) = all_14_15 & $i(all_14_0) & $i(all_14_1) & % 47.94/7.57 | $i(all_14_2) & $i(all_14_3) & $i(all_14_4) & $i(all_14_5) & % 47.94/7.57 | $i(all_14_6) & $i(all_14_7) & $i(all_14_8) & $i(all_14_9) & % 47.94/7.57 | $i(all_14_10) & $i(all_14_11) & $i(all_14_12) & $i(all_14_13) & % 47.94/7.57 | $i(all_14_14) & $i(all_14_15) % 47.94/7.57 | % 47.94/7.57 | ALPHA: (115) implies: % 47.94/7.57 | (116) ~ (all_14_14 = all_14_15) % 47.94/7.57 | (117) ~ (all_14_13 = all_14_15) % 47.94/7.57 | (118) ~ (all_14_13 = all_14_14) % 47.94/7.57 | (119) ~ (all_14_12 = all_14_15) % 47.94/7.57 | (120) ~ (all_14_12 = all_14_14) % 47.94/7.57 | (121) ~ (all_14_12 = all_14_13) % 47.94/7.57 | (122) ~ (all_14_11 = all_14_15) % 47.94/7.57 | (123) ~ (all_14_10 = all_14_14) % 47.94/7.57 | (124) ~ (all_14_10 = all_14_11) % 47.94/7.57 | (125) ~ (all_14_9 = all_14_11) % 47.94/7.57 | (126) ~ (all_14_9 = all_14_10) % 47.94/7.57 | (127) ~ (all_14_8 = all_14_12) % 47.94/7.57 | (128) ~ (all_14_8 = all_14_11) % 47.94/7.57 | (129) ~ (all_14_8 = all_14_10) % 47.94/7.57 | (130) ~ (all_14_8 = all_14_9) % 47.94/7.57 | (131) ~ (all_14_7 = all_14_15) % 47.94/7.57 | (132) ~ (all_14_7 = all_14_11) % 47.94/7.57 | (133) ~ (all_14_6 = all_14_14) % 47.94/7.57 | (134) ~ (all_14_5 = all_14_13) % 47.94/7.57 | (135) ~ (all_14_5 = all_14_9) % 47.94/7.57 | (136) ~ (all_14_5 = all_14_7) % 47.94/7.57 | (137) ~ (all_14_5 = all_14_6) % 47.94/7.57 | (138) ~ (all_14_4 = all_14_12) % 47.94/7.57 | (139) ~ (all_14_4 = all_14_8) % 47.94/7.57 | (140) ~ (all_14_4 = all_14_7) % 47.94/7.57 | (141) ~ (all_14_4 = all_14_6) % 47.94/7.57 | (142) ~ (all_14_4 = all_14_5) % 47.94/7.57 | (143) ~ (all_14_3 = all_14_15) % 47.94/7.57 | (144) ~ (all_14_3 = all_14_11) % 47.94/7.57 | (145) ~ (all_14_3 = all_14_7) % 47.94/7.57 | (146) ~ (all_14_2 = all_14_14) % 47.94/7.57 | (147) ~ (all_14_2 = all_14_10) % 47.94/7.57 | (148) ~ (all_14_2 = all_14_6) % 47.94/7.57 | (149) ~ (all_14_2 = all_14_3) % 47.94/7.57 | (150) ~ (all_14_1 = all_14_13) % 47.94/7.57 | (151) ~ (all_14_1 = all_14_9) % 47.94/7.57 | (152) ~ (all_14_1 = all_14_5) % 47.94/7.57 | (153) ~ (all_14_1 = all_14_3) % 47.94/7.57 | (154) ~ (all_14_1 = all_14_2) % 47.94/7.57 | (155) ~ (all_14_0 = all_14_3) % 47.94/7.57 | (156) ~ (all_14_0 = all_14_2) % 47.94/7.57 | (157) ~ (all_14_0 = all_14_1) % 47.94/7.57 | (158) op2(e20, e20) = all_14_15 % 47.94/7.57 | (159) op2(e20, e21) = all_14_11 % 47.94/7.57 | (160) op2(e20, e22) = all_14_7 % 47.94/7.57 | (161) op2(e20, e23) = all_14_3 % 47.94/7.57 | (162) op2(e21, e20) = all_14_14 % 47.94/7.57 | (163) op2(e21, e21) = all_14_10 % 47.94/7.57 | (164) op2(e21, e22) = all_14_6 % 47.94/7.57 | (165) op2(e21, e23) = all_14_2 % 47.94/7.57 | (166) op2(e22, e20) = all_14_13 % 47.94/7.57 | (167) op2(e22, e21) = all_14_9 % 47.94/7.57 | (168) op2(e22, e22) = all_14_5 % 47.94/7.57 | (169) op2(e22, e23) = all_14_1 % 47.94/7.57 | (170) op2(e23, e20) = all_14_12 % 47.94/7.57 | (171) op2(e23, e21) = all_14_8 % 47.94/7.57 | (172) op2(e23, e22) = all_14_4 % 47.94/7.57 | (173) op2(e23, e23) = all_14_0 % 47.94/7.57 | % 47.94/7.57 | DELTA: instantiating (1) with fresh symbols all_16_0, all_16_1, all_16_2, % 47.94/7.57 | all_16_3, all_16_4, all_16_5, all_16_6, all_16_7, all_16_8, all_16_9, % 47.94/7.57 | all_16_10, all_16_11, all_16_12, all_16_13, all_16_14, all_16_15 gives: % 47.94/7.57 | (174) op1(e13, e13) = all_16_0 & op1(e13, e12) = all_16_1 & op1(e13, e11) = % 47.94/7.57 | all_16_2 & op1(e13, e10) = all_16_3 & op1(e12, e13) = all_16_4 & % 47.94/7.57 | op1(e12, e12) = all_16_5 & op1(e12, e11) = all_16_6 & op1(e12, e10) = % 47.94/7.57 | all_16_7 & op1(e11, e13) = all_16_8 & op1(e11, e12) = all_16_9 & % 47.94/7.57 | op1(e11, e11) = all_16_10 & op1(e11, e10) = all_16_11 & op1(e10, e13) % 47.94/7.57 | = all_16_12 & op1(e10, e12) = all_16_13 & op1(e10, e11) = all_16_14 & % 47.94/7.57 | op1(e10, e10) = all_16_15 & $i(all_16_0) & $i(all_16_1) & % 47.94/7.57 | $i(all_16_2) & $i(all_16_3) & $i(all_16_4) & $i(all_16_5) & % 47.94/7.57 | $i(all_16_6) & $i(all_16_7) & $i(all_16_8) & $i(all_16_9) & % 47.94/7.57 | $i(all_16_10) & $i(all_16_11) & $i(all_16_12) & $i(all_16_13) & % 47.94/7.57 | $i(all_16_14) & $i(all_16_15) & (all_16_0 = e13 | all_16_0 = e12 | % 47.94/7.58 | all_16_0 = e11 | all_16_0 = e10) & (all_16_1 = e13 | all_16_1 = e12 % 47.94/7.58 | | all_16_1 = e11 | all_16_1 = e10) & (all_16_2 = e13 | all_16_2 = % 47.94/7.58 | e12 | all_16_2 = e11 | all_16_2 = e10) & (all_16_3 = e13 | all_16_3 % 47.94/7.58 | = e12 | all_16_3 = e11 | all_16_3 = e10) & (all_16_4 = e13 | % 47.94/7.58 | all_16_4 = e12 | all_16_4 = e11 | all_16_4 = e10) & (all_16_5 = e13 % 47.94/7.58 | | all_16_5 = e12 | all_16_5 = e11 | all_16_5 = e10) & (all_16_6 = % 47.94/7.58 | e13 | all_16_6 = e12 | all_16_6 = e11 | all_16_6 = e10) & (all_16_7 % 47.94/7.58 | = e13 | all_16_7 = e12 | all_16_7 = e11 | all_16_7 = e10) & % 47.94/7.58 | (all_16_8 = e13 | all_16_8 = e12 | all_16_8 = e11 | all_16_8 = e10) & % 47.94/7.58 | (all_16_9 = e13 | all_16_9 = e12 | all_16_9 = e11 | all_16_9 = e10) & % 47.94/7.58 | (all_16_10 = e13 | all_16_10 = e12 | all_16_10 = e11 | all_16_10 = % 47.94/7.58 | e10) & (all_16_11 = e13 | all_16_11 = e12 | all_16_11 = e11 | % 47.94/7.58 | all_16_11 = e10) & (all_16_12 = e13 | all_16_12 = e12 | all_16_12 = % 47.94/7.58 | e11 | all_16_12 = e10) & (all_16_13 = e13 | all_16_13 = e12 | % 47.94/7.58 | all_16_13 = e11 | all_16_13 = e10) & (all_16_14 = e13 | all_16_14 = % 47.94/7.58 | e12 | all_16_14 = e11 | all_16_14 = e10) & (all_16_15 = e13 | % 47.94/7.58 | all_16_15 = e12 | all_16_15 = e11 | all_16_15 = e10) % 47.94/7.58 | % 47.94/7.58 | ALPHA: (174) implies: % 47.94/7.58 | (175) op1(e10, e10) = all_16_15 % 47.94/7.58 | (176) op1(e10, e11) = all_16_14 % 47.94/7.58 | (177) op1(e10, e12) = all_16_13 % 47.94/7.58 | (178) op1(e10, e13) = all_16_12 % 47.94/7.58 | (179) op1(e11, e10) = all_16_11 % 47.94/7.58 | (180) op1(e11, e11) = all_16_10 % 47.94/7.58 | (181) op1(e11, e12) = all_16_9 % 47.94/7.58 | (182) op1(e11, e13) = all_16_8 % 47.94/7.58 | (183) op1(e12, e10) = all_16_7 % 47.94/7.58 | (184) op1(e12, e11) = all_16_6 % 47.94/7.58 | (185) op1(e12, e12) = all_16_5 % 47.94/7.58 | (186) op1(e12, e13) = all_16_4 % 47.94/7.58 | (187) op1(e13, e11) = all_16_2 % 47.94/7.58 | (188) op1(e13, e12) = all_16_1 % 47.94/7.58 | (189) op1(e13, e13) = all_16_0 % 47.94/7.58 | (190) all_16_15 = e13 | all_16_15 = e12 | all_16_15 = e11 | all_16_15 = e10 % 47.94/7.58 | (191) all_16_14 = e13 | all_16_14 = e12 | all_16_14 = e11 | all_16_14 = e10 % 47.94/7.58 | (192) all_16_13 = e13 | all_16_13 = e12 | all_16_13 = e11 | all_16_13 = e10 % 47.94/7.58 | (193) all_16_12 = e13 | all_16_12 = e12 | all_16_12 = e11 | all_16_12 = e10 % 47.94/7.58 | (194) all_16_11 = e13 | all_16_11 = e12 | all_16_11 = e11 | all_16_11 = e10 % 47.94/7.58 | (195) all_16_10 = e13 | all_16_10 = e12 | all_16_10 = e11 | all_16_10 = e10 % 47.94/7.58 | (196) all_16_9 = e13 | all_16_9 = e12 | all_16_9 = e11 | all_16_9 = e10 % 47.94/7.58 | (197) all_16_8 = e13 | all_16_8 = e12 | all_16_8 = e11 | all_16_8 = e10 % 47.94/7.58 | (198) all_16_5 = e13 | all_16_5 = e12 | all_16_5 = e11 | all_16_5 = e10 % 47.94/7.58 | (199) all_16_4 = e13 | all_16_4 = e12 | all_16_4 = e11 | all_16_4 = e10 % 47.94/7.58 | (200) all_16_2 = e13 | all_16_2 = e12 | all_16_2 = e11 | all_16_2 = e10 % 47.94/7.58 | % 47.94/7.58 | DELTA: instantiating (3) with fresh symbols all_18_0, all_18_1, all_18_2, % 47.94/7.58 | all_18_3, all_18_4, all_18_5, all_18_6, all_18_7, all_18_8, all_18_9, % 47.94/7.58 | all_18_10, all_18_11, all_18_12, all_18_13, all_18_14, all_18_15 gives: % 48.39/7.58 | (201) op2(e23, e23) = all_18_0 & op2(e23, e22) = all_18_1 & op2(e23, e21) = % 48.39/7.58 | all_18_2 & op2(e23, e20) = all_18_3 & op2(e22, e23) = all_18_4 & % 48.39/7.58 | op2(e22, e22) = all_18_5 & op2(e22, e21) = all_18_6 & op2(e22, e20) = % 48.39/7.58 | all_18_7 & op2(e21, e23) = all_18_8 & op2(e21, e22) = all_18_9 & % 48.39/7.58 | op2(e21, e21) = all_18_10 & op2(e21, e20) = all_18_11 & op2(e20, e23) % 48.39/7.58 | = all_18_12 & op2(e20, e22) = all_18_13 & op2(e20, e21) = all_18_14 & % 48.39/7.58 | op2(e20, e20) = all_18_15 & $i(all_18_0) & $i(all_18_1) & % 48.39/7.58 | $i(all_18_2) & $i(all_18_3) & $i(all_18_4) & $i(all_18_5) & % 48.39/7.58 | $i(all_18_6) & $i(all_18_7) & $i(all_18_8) & $i(all_18_9) & % 48.39/7.58 | $i(all_18_10) & $i(all_18_11) & $i(all_18_12) & $i(all_18_13) & % 48.39/7.58 | $i(all_18_14) & $i(all_18_15) & (all_18_0 = e23 | all_18_0 = e22 | % 48.39/7.58 | all_18_0 = e21 | all_18_0 = e20) & (all_18_1 = e23 | all_18_1 = e22 % 48.39/7.58 | | all_18_1 = e21 | all_18_1 = e20) & (all_18_2 = e23 | all_18_2 = % 48.39/7.58 | e22 | all_18_2 = e21 | all_18_2 = e20) & (all_18_3 = e23 | all_18_3 % 48.39/7.58 | = e22 | all_18_3 = e21 | all_18_3 = e20) & (all_18_4 = e23 | % 48.39/7.58 | all_18_4 = e22 | all_18_4 = e21 | all_18_4 = e20) & (all_18_5 = e23 % 48.39/7.58 | | all_18_5 = e22 | all_18_5 = e21 | all_18_5 = e20) & (all_18_6 = % 48.39/7.58 | e23 | all_18_6 = e22 | all_18_6 = e21 | all_18_6 = e20) & (all_18_7 % 48.39/7.58 | = e23 | all_18_7 = e22 | all_18_7 = e21 | all_18_7 = e20) & % 48.39/7.58 | (all_18_8 = e23 | all_18_8 = e22 | all_18_8 = e21 | all_18_8 = e20) & % 48.39/7.58 | (all_18_9 = e23 | all_18_9 = e22 | all_18_9 = e21 | all_18_9 = e20) & % 48.39/7.58 | (all_18_10 = e23 | all_18_10 = e22 | all_18_10 = e21 | all_18_10 = % 48.39/7.58 | e20) & (all_18_11 = e23 | all_18_11 = e22 | all_18_11 = e21 | % 48.39/7.58 | all_18_11 = e20) & (all_18_12 = e23 | all_18_12 = e22 | all_18_12 = % 48.39/7.58 | e21 | all_18_12 = e20) & (all_18_13 = e23 | all_18_13 = e22 | % 48.39/7.58 | all_18_13 = e21 | all_18_13 = e20) & (all_18_14 = e23 | all_18_14 = % 48.39/7.58 | e22 | all_18_14 = e21 | all_18_14 = e20) & (all_18_15 = e23 | % 48.39/7.58 | all_18_15 = e22 | all_18_15 = e21 | all_18_15 = e20) % 48.39/7.58 | % 48.39/7.58 | ALPHA: (201) implies: % 48.39/7.58 | (202) op2(e20, e20) = all_18_15 % 48.39/7.58 | (203) op2(e20, e21) = all_18_14 % 48.39/7.58 | (204) op2(e20, e22) = all_18_13 % 48.39/7.58 | (205) op2(e20, e23) = all_18_12 % 48.39/7.58 | (206) op2(e21, e20) = all_18_11 % 48.39/7.58 | (207) op2(e21, e21) = all_18_10 % 48.39/7.58 | (208) op2(e21, e22) = all_18_9 % 48.39/7.58 | (209) op2(e21, e23) = all_18_8 % 48.39/7.58 | (210) op2(e22, e20) = all_18_7 % 48.39/7.58 | (211) op2(e22, e21) = all_18_6 % 48.39/7.58 | (212) op2(e22, e22) = all_18_5 % 48.39/7.58 | (213) op2(e22, e23) = all_18_4 % 48.39/7.58 | (214) op2(e23, e20) = all_18_3 % 48.39/7.58 | (215) op2(e23, e21) = all_18_2 % 48.39/7.58 | (216) op2(e23, e22) = all_18_1 % 48.39/7.58 | (217) op2(e23, e23) = all_18_0 % 48.39/7.58 | (218) all_18_15 = e23 | all_18_15 = e22 | all_18_15 = e21 | all_18_15 = e20 % 48.39/7.58 | (219) all_18_14 = e23 | all_18_14 = e22 | all_18_14 = e21 | all_18_14 = e20 % 48.39/7.58 | (220) all_18_13 = e23 | all_18_13 = e22 | all_18_13 = e21 | all_18_13 = e20 % 48.39/7.58 | (221) all_18_12 = e23 | all_18_12 = e22 | all_18_12 = e21 | all_18_12 = e20 % 48.39/7.58 | (222) all_18_11 = e23 | all_18_11 = e22 | all_18_11 = e21 | all_18_11 = e20 % 48.39/7.58 | (223) all_18_10 = e23 | all_18_10 = e22 | all_18_10 = e21 | all_18_10 = e20 % 48.39/7.58 | (224) all_18_9 = e23 | all_18_9 = e22 | all_18_9 = e21 | all_18_9 = e20 % 48.39/7.59 | (225) all_18_8 = e23 | all_18_8 = e22 | all_18_8 = e21 | all_18_8 = e20 % 48.39/7.59 | (226) all_18_7 = e23 | all_18_7 = e22 | all_18_7 = e21 | all_18_7 = e20 % 48.39/7.59 | (227) all_18_5 = e23 | all_18_5 = e22 | all_18_5 = e21 | all_18_5 = e20 % 48.39/7.59 | (228) all_18_4 = e23 | all_18_4 = e22 | all_18_4 = e21 | all_18_4 = e20 % 48.39/7.59 | (229) all_18_2 = e23 | all_18_2 = e22 | all_18_2 = e21 | all_18_2 = e20 % 48.39/7.59 | % 48.39/7.59 | DELTA: instantiating (4) with fresh symbols all_20_0, all_20_1, all_20_2, % 48.39/7.59 | all_20_3, all_20_4, all_20_5, all_20_6, all_20_7, all_20_8, all_20_9, % 48.39/7.59 | all_20_10, all_20_11, all_20_12, all_20_13, all_20_14, all_20_15 gives: % 48.39/7.59 | (230) op2(e23, e23) = all_20_0 & op2(e23, e22) = all_20_1 & op2(e23, e21) = % 48.39/7.59 | all_20_4 & op2(e23, e20) = all_20_9 & op2(e22, e23) = all_20_2 & % 48.39/7.59 | op2(e22, e22) = all_20_3 & op2(e22, e21) = all_20_5 & op2(e22, e20) = % 48.39/7.59 | all_20_10 & op2(e21, e23) = all_20_6 & op2(e21, e22) = all_20_7 & % 48.39/7.59 | op2(e21, e21) = all_20_8 & op2(e21, e20) = all_20_11 & op2(e20, e23) % 48.39/7.59 | = all_20_12 & op2(e20, e22) = all_20_13 & op2(e20, e21) = all_20_14 & % 48.39/7.59 | op2(e20, e20) = all_20_15 & $i(all_20_0) & $i(all_20_1) & % 48.39/7.59 | $i(all_20_2) & $i(all_20_3) & $i(all_20_4) & $i(all_20_5) & % 48.39/7.59 | $i(all_20_6) & $i(all_20_7) & $i(all_20_8) & $i(all_20_9) & % 48.39/7.59 | $i(all_20_10) & $i(all_20_11) & $i(all_20_12) & $i(all_20_13) & % 48.39/7.59 | $i(all_20_14) & $i(all_20_15) & (all_20_0 = e23 | all_20_1 = e23 | % 48.39/7.59 | all_20_4 = e23 | all_20_9 = e23) & (all_20_0 = e23 | all_20_2 = e23 % 48.39/7.59 | | all_20_6 = e23 | all_20_12 = e23) & (all_20_0 = e22 | all_20_1 = % 48.39/7.59 | e22 | all_20_4 = e22 | all_20_9 = e22) & (all_20_0 = e22 | all_20_2 % 48.39/7.59 | = e22 | all_20_6 = e22 | all_20_12 = e22) & (all_20_0 = e21 | % 48.39/7.59 | all_20_1 = e21 | all_20_4 = e21 | all_20_9 = e21) & (all_20_0 = e21 % 48.39/7.59 | | all_20_2 = e21 | all_20_6 = e21 | all_20_12 = e21) & (all_20_0 = % 48.39/7.59 | e20 | all_20_1 = e20 | all_20_4 = e20 | all_20_9 = e20) & (all_20_0 % 48.39/7.59 | = e20 | all_20_2 = e20 | all_20_6 = e20 | all_20_12 = e20) & % 48.39/7.59 | (all_20_1 = e23 | all_20_3 = e23 | all_20_7 = e23 | all_20_13 = e23) % 48.39/7.59 | & (all_20_1 = e22 | all_20_3 = e22 | all_20_7 = e22 | all_20_13 = % 48.39/7.59 | e22) & (all_20_1 = e21 | all_20_3 = e21 | all_20_7 = e21 | % 48.39/7.59 | all_20_13 = e21) & (all_20_1 = e20 | all_20_3 = e20 | all_20_7 = % 48.39/7.59 | e20 | all_20_13 = e20) & (all_20_2 = e23 | all_20_3 = e23 | % 48.39/7.59 | all_20_5 = e23 | all_20_10 = e23) & (all_20_2 = e22 | all_20_3 = % 48.39/7.59 | e22 | all_20_5 = e22 | all_20_10 = e22) & (all_20_2 = e21 | % 48.39/7.59 | all_20_3 = e21 | all_20_5 = e21 | all_20_10 = e21) & (all_20_2 = % 48.39/7.59 | e20 | all_20_3 = e20 | all_20_5 = e20 | all_20_10 = e20) & % 48.39/7.59 | (all_20_4 = e23 | all_20_5 = e23 | all_20_8 = e23 | all_20_14 = e23) % 48.39/7.59 | & (all_20_4 = e22 | all_20_5 = e22 | all_20_8 = e22 | all_20_14 = % 48.39/7.59 | e22) & (all_20_4 = e21 | all_20_5 = e21 | all_20_8 = e21 | % 48.39/7.59 | all_20_14 = e21) & (all_20_4 = e20 | all_20_5 = e20 | all_20_8 = % 48.39/7.59 | e20 | all_20_14 = e20) & (all_20_6 = e23 | all_20_7 = e23 | % 48.39/7.59 | all_20_8 = e23 | all_20_11 = e23) & (all_20_6 = e22 | all_20_7 = % 48.39/7.59 | e22 | all_20_8 = e22 | all_20_11 = e22) & (all_20_6 = e21 | % 48.39/7.59 | all_20_7 = e21 | all_20_8 = e21 | all_20_11 = e21) & (all_20_6 = % 48.39/7.59 | e20 | all_20_7 = e20 | all_20_8 = e20 | all_20_11 = e20) & % 48.39/7.59 | (all_20_9 = e23 | all_20_10 = e23 | all_20_11 = e23 | all_20_15 = % 48.39/7.59 | e23) & (all_20_9 = e22 | all_20_10 = e22 | all_20_11 = e22 | % 48.39/7.59 | all_20_15 = e22) & (all_20_9 = e21 | all_20_10 = e21 | all_20_11 = % 48.39/7.59 | e21 | all_20_15 = e21) & (all_20_12 = e23 | all_20_13 = e23 | % 48.39/7.59 | all_20_14 = e23 | all_20_15 = e23) & (all_20_12 = e22 | all_20_13 = % 48.39/7.59 | e22 | all_20_14 = e22 | all_20_15 = e22) & (all_20_12 = e21 | % 48.39/7.59 | all_20_13 = e21 | all_20_14 = e21 | all_20_15 = e21) & (all_20_15 = % 48.39/7.59 | e20 | ((all_20_9 = e20 | all_20_10 = e20 | all_20_11 = e20) & % 48.39/7.59 | (all_20_12 = e20 | all_20_13 = e20 | all_20_14 = e20))) % 48.39/7.59 | % 48.39/7.59 | ALPHA: (230) implies: % 48.39/7.59 | (231) op2(e20, e20) = all_20_15 % 48.39/7.59 | (232) op2(e20, e21) = all_20_14 % 48.39/7.59 | (233) op2(e20, e22) = all_20_13 % 48.39/7.59 | (234) op2(e20, e23) = all_20_12 % 48.39/7.59 | (235) op2(e21, e20) = all_20_11 % 48.39/7.59 | (236) op2(e21, e21) = all_20_8 % 48.39/7.59 | (237) op2(e21, e22) = all_20_7 % 48.39/7.59 | (238) op2(e21, e23) = all_20_6 % 48.39/7.59 | (239) op2(e22, e20) = all_20_10 % 48.39/7.59 | (240) op2(e22, e21) = all_20_5 % 48.39/7.59 | (241) op2(e22, e22) = all_20_3 % 48.39/7.59 | (242) op2(e22, e23) = all_20_2 % 48.39/7.59 | (243) op2(e23, e20) = all_20_9 % 48.39/7.59 | (244) op2(e23, e21) = all_20_4 % 48.39/7.59 | (245) op2(e23, e22) = all_20_1 % 48.39/7.59 | (246) op2(e23, e23) = all_20_0 % 48.39/7.59 | (247) all_20_15 = e20 | ((all_20_9 = e20 | all_20_10 = e20 | all_20_11 = % 48.39/7.59 | e20) & (all_20_12 = e20 | all_20_13 = e20 | all_20_14 = e20)) % 48.39/7.59 | (248) all_20_12 = e23 | all_20_13 = e23 | all_20_14 = e23 | all_20_15 = e23 % 48.39/7.59 | (249) all_20_6 = e20 | all_20_7 = e20 | all_20_8 = e20 | all_20_11 = e20 % 48.39/7.59 | (250) all_20_6 = e23 | all_20_7 = e23 | all_20_8 = e23 | all_20_11 = e23 % 48.39/7.59 | (251) all_20_4 = e22 | all_20_5 = e22 | all_20_8 = e22 | all_20_14 = e22 % 48.39/7.59 | (252) all_20_2 = e21 | all_20_3 = e21 | all_20_5 = e21 | all_20_10 = e21 % 48.39/7.59 | (253) all_20_2 = e23 | all_20_3 = e23 | all_20_5 = e23 | all_20_10 = e23 % 48.39/7.59 | (254) all_20_1 = e20 | all_20_3 = e20 | all_20_7 = e20 | all_20_13 = e20 % 48.39/7.59 | (255) all_20_0 = e20 | all_20_1 = e20 | all_20_4 = e20 | all_20_9 = e20 % 48.39/7.59 | (256) all_20_0 = e23 | all_20_1 = e23 | all_20_4 = e23 | all_20_9 = e23 % 48.39/7.59 | % 48.39/7.59 | DELTA: instantiating (2) with fresh symbols all_22_0, all_22_1, all_22_2, % 48.39/7.59 | all_22_3, all_22_4, all_22_5, all_22_6, all_22_7, all_22_8, all_22_9, % 48.39/7.59 | all_22_10, all_22_11, all_22_12, all_22_13, all_22_14, all_22_15 gives: % 48.39/7.60 | (257) op1(e13, e13) = all_22_0 & op1(e13, e12) = all_22_1 & op1(e13, e11) = % 48.39/7.60 | all_22_4 & op1(e13, e10) = all_22_9 & op1(e12, e13) = all_22_2 & % 48.39/7.60 | op1(e12, e12) = all_22_3 & op1(e12, e11) = all_22_5 & op1(e12, e10) = % 48.39/7.60 | all_22_10 & op1(e11, e13) = all_22_6 & op1(e11, e12) = all_22_7 & % 48.39/7.60 | op1(e11, e11) = all_22_8 & op1(e11, e10) = all_22_11 & op1(e10, e13) % 48.39/7.60 | = all_22_12 & op1(e10, e12) = all_22_13 & op1(e10, e11) = all_22_14 & % 48.39/7.60 | op1(e10, e10) = all_22_15 & $i(all_22_0) & $i(all_22_1) & % 48.39/7.60 | $i(all_22_2) & $i(all_22_3) & $i(all_22_4) & $i(all_22_5) & % 48.39/7.60 | $i(all_22_6) & $i(all_22_7) & $i(all_22_8) & $i(all_22_9) & % 48.39/7.60 | $i(all_22_10) & $i(all_22_11) & $i(all_22_12) & $i(all_22_13) & % 48.39/7.60 | $i(all_22_14) & $i(all_22_15) & (all_22_0 = e13 | all_22_1 = e13 | % 48.39/7.60 | all_22_4 = e13 | all_22_9 = e13) & (all_22_0 = e13 | all_22_2 = e13 % 48.39/7.60 | | all_22_6 = e13 | all_22_12 = e13) & (all_22_0 = e12 | all_22_1 = % 48.39/7.60 | e12 | all_22_4 = e12 | all_22_9 = e12) & (all_22_0 = e12 | all_22_2 % 48.39/7.60 | = e12 | all_22_6 = e12 | all_22_12 = e12) & (all_22_0 = e11 | % 48.39/7.60 | all_22_1 = e11 | all_22_4 = e11 | all_22_9 = e11) & (all_22_0 = e11 % 48.39/7.60 | | all_22_2 = e11 | all_22_6 = e11 | all_22_12 = e11) & (all_22_0 = % 48.39/7.60 | e10 | all_22_1 = e10 | all_22_4 = e10 | all_22_9 = e10) & (all_22_0 % 48.39/7.60 | = e10 | all_22_2 = e10 | all_22_6 = e10 | all_22_12 = e10) & % 48.39/7.60 | (all_22_1 = e13 | all_22_3 = e13 | all_22_7 = e13 | all_22_13 = e13) % 48.39/7.60 | & (all_22_1 = e12 | all_22_3 = e12 | all_22_7 = e12 | all_22_13 = % 48.39/7.60 | e12) & (all_22_1 = e11 | all_22_3 = e11 | all_22_7 = e11 | % 48.39/7.60 | all_22_13 = e11) & (all_22_1 = e10 | all_22_3 = e10 | all_22_7 = % 48.39/7.60 | e10 | all_22_13 = e10) & (all_22_2 = e13 | all_22_3 = e13 | % 48.39/7.60 | all_22_5 = e13 | all_22_10 = e13) & (all_22_2 = e12 | all_22_3 = % 48.39/7.60 | e12 | all_22_5 = e12 | all_22_10 = e12) & (all_22_2 = e11 | % 48.39/7.60 | all_22_3 = e11 | all_22_5 = e11 | all_22_10 = e11) & (all_22_2 = % 48.39/7.60 | e10 | all_22_3 = e10 | all_22_5 = e10 | all_22_10 = e10) & % 48.39/7.60 | (all_22_4 = e13 | all_22_5 = e13 | all_22_8 = e13 | all_22_14 = e13) % 48.39/7.60 | & (all_22_4 = e12 | all_22_5 = e12 | all_22_8 = e12 | all_22_14 = % 48.39/7.60 | e12) & (all_22_4 = e11 | all_22_5 = e11 | all_22_8 = e11 | % 48.39/7.60 | all_22_14 = e11) & (all_22_4 = e10 | all_22_5 = e10 | all_22_8 = % 48.39/7.60 | e10 | all_22_14 = e10) & (all_22_6 = e13 | all_22_7 = e13 | % 48.39/7.60 | all_22_8 = e13 | all_22_11 = e13) & (all_22_6 = e12 | all_22_7 = % 48.39/7.60 | e12 | all_22_8 = e12 | all_22_11 = e12) & (all_22_6 = e11 | % 48.39/7.60 | all_22_7 = e11 | all_22_8 = e11 | all_22_11 = e11) & (all_22_6 = % 48.39/7.60 | e10 | all_22_7 = e10 | all_22_8 = e10 | all_22_11 = e10) & % 48.39/7.60 | (all_22_9 = e13 | all_22_10 = e13 | all_22_11 = e13 | all_22_15 = % 48.39/7.60 | e13) & (all_22_9 = e12 | all_22_10 = e12 | all_22_11 = e12 | % 48.39/7.60 | all_22_15 = e12) & (all_22_9 = e11 | all_22_10 = e11 | all_22_11 = % 48.39/7.60 | e11 | all_22_15 = e11) & (all_22_12 = e13 | all_22_13 = e13 | % 48.39/7.60 | all_22_14 = e13 | all_22_15 = e13) & (all_22_12 = e12 | all_22_13 = % 48.39/7.60 | e12 | all_22_14 = e12 | all_22_15 = e12) & (all_22_12 = e11 | % 48.39/7.60 | all_22_13 = e11 | all_22_14 = e11 | all_22_15 = e11) & (all_22_15 = % 48.39/7.60 | e10 | ((all_22_9 = e10 | all_22_10 = e10 | all_22_11 = e10) & % 48.39/7.60 | (all_22_12 = e10 | all_22_13 = e10 | all_22_14 = e10))) % 48.39/7.60 | % 48.39/7.60 | ALPHA: (257) implies: % 48.39/7.60 | (258) op1(e10, e10) = all_22_15 % 48.39/7.60 | (259) op1(e10, e11) = all_22_14 % 48.39/7.60 | (260) op1(e10, e12) = all_22_13 % 48.39/7.60 | (261) op1(e10, e13) = all_22_12 % 48.39/7.60 | (262) op1(e11, e10) = all_22_11 % 48.39/7.60 | (263) op1(e11, e11) = all_22_8 % 48.39/7.60 | (264) op1(e11, e12) = all_22_7 % 48.39/7.60 | (265) op1(e11, e13) = all_22_6 % 48.39/7.60 | (266) op1(e12, e10) = all_22_10 % 48.39/7.60 | (267) op1(e12, e11) = all_22_5 % 48.39/7.60 | (268) op1(e12, e12) = all_22_3 % 48.39/7.60 | (269) op1(e12, e13) = all_22_2 % 48.39/7.60 | (270) op1(e13, e10) = all_22_9 % 48.39/7.60 | (271) op1(e13, e11) = all_22_4 % 48.39/7.60 | (272) op1(e13, e12) = all_22_1 % 48.39/7.60 | (273) op1(e13, e13) = all_22_0 % 48.39/7.60 | (274) all_22_15 = e10 | ((all_22_9 = e10 | all_22_10 = e10 | all_22_11 = % 48.39/7.60 | e10) & (all_22_12 = e10 | all_22_13 = e10 | all_22_14 = e10)) % 48.39/7.60 | (275) all_22_12 = e13 | all_22_13 = e13 | all_22_14 = e13 | all_22_15 = e13 % 48.39/7.60 | (276) all_22_6 = e10 | all_22_7 = e10 | all_22_8 = e10 | all_22_11 = e10 % 48.39/7.60 | (277) all_22_6 = e11 | all_22_7 = e11 | all_22_8 = e11 | all_22_11 = e11 % 48.39/7.60 | (278) all_22_6 = e13 | all_22_7 = e13 | all_22_8 = e13 | all_22_11 = e13 % 48.39/7.60 | (279) all_22_4 = e12 | all_22_5 = e12 | all_22_8 = e12 | all_22_14 = e12 % 48.39/7.60 | (280) all_22_2 = e11 | all_22_3 = e11 | all_22_5 = e11 | all_22_10 = e11 % 48.39/7.60 | (281) all_22_2 = e12 | all_22_3 = e12 | all_22_5 = e12 | all_22_10 = e12 % 48.39/7.60 | (282) all_22_2 = e13 | all_22_3 = e13 | all_22_5 = e13 | all_22_10 = e13 % 48.39/7.60 | (283) all_22_1 = e13 | all_22_3 = e13 | all_22_7 = e13 | all_22_13 = e13 % 48.39/7.60 | (284) all_22_0 = e10 | all_22_1 = e10 | all_22_4 = e10 | all_22_9 = e10 % 48.39/7.60 | % 48.39/7.60 | DELTA: instantiating (15) with fresh symbols all_24_0, all_24_1, all_24_2, % 48.39/7.60 | all_24_3, all_24_4, all_24_5, all_24_6, all_24_7, all_24_8, all_24_9, % 48.39/7.60 | all_24_10, all_24_11, all_24_12, all_24_13, all_24_14, all_24_15, % 48.39/7.60 | all_24_16, all_24_17, all_24_18, all_24_19, all_24_20, all_24_21, % 48.39/7.60 | all_24_22, all_24_23, all_24_24, all_24_25, all_24_26, all_24_27, % 48.39/7.60 | all_24_28, all_24_29, all_24_30, all_24_31 gives: % 48.39/7.61 | (285) op2(e23, all_24_16) = all_24_0 & op2(e23, all_24_20) = all_24_1 & % 48.39/7.61 | op2(e23, all_24_24) = all_24_2 & op2(e23, all_24_28) = all_24_3 & % 48.39/7.61 | op2(e23, e23) = all_24_16 & op2(e23, e22) = all_24_20 & op2(e23, e21) % 48.39/7.61 | = all_24_24 & op2(e23, e20) = all_24_28 & op2(e22, all_24_17) = % 48.39/7.61 | all_24_4 & op2(e22, all_24_21) = all_24_5 & op2(e22, all_24_25) = % 48.39/7.61 | all_24_6 & op2(e22, all_24_29) = all_24_7 & op2(e22, e23) = all_24_17 % 48.39/7.61 | & op2(e22, e22) = all_24_21 & op2(e22, e21) = all_24_25 & op2(e22, % 48.39/7.61 | e20) = all_24_29 & op2(e21, all_24_18) = all_24_8 & op2(e21, % 48.39/7.61 | all_24_22) = all_24_9 & op2(e21, all_24_26) = all_24_10 & op2(e21, % 48.39/7.61 | all_24_30) = all_24_11 & op2(e21, e23) = all_24_18 & op2(e21, e22) % 48.39/7.61 | = all_24_22 & op2(e21, e21) = all_24_26 & op2(e21, e20) = all_24_30 & % 48.39/7.61 | op2(e20, all_24_19) = all_24_12 & op2(e20, all_24_23) = all_24_13 & % 48.39/7.61 | op2(e20, all_24_27) = all_24_14 & op2(e20, all_24_31) = all_24_15 & % 48.39/7.61 | op2(e20, e23) = all_24_19 & op2(e20, e22) = all_24_23 & op2(e20, e21) % 48.39/7.61 | = all_24_27 & op2(e20, e20) = all_24_31 & $i(all_24_0) & $i(all_24_1) % 48.39/7.61 | & $i(all_24_2) & $i(all_24_3) & $i(all_24_4) & $i(all_24_5) & % 48.39/7.61 | $i(all_24_6) & $i(all_24_7) & $i(all_24_8) & $i(all_24_9) & % 48.39/7.61 | $i(all_24_10) & $i(all_24_11) & $i(all_24_12) & $i(all_24_13) & % 48.39/7.61 | $i(all_24_14) & $i(all_24_15) & $i(all_24_16) & $i(all_24_17) & % 48.39/7.61 | $i(all_24_18) & $i(all_24_19) & $i(all_24_20) & $i(all_24_21) & % 48.39/7.61 | $i(all_24_22) & $i(all_24_23) & $i(all_24_24) & $i(all_24_25) & % 48.39/7.61 | $i(all_24_26) & $i(all_24_27) & $i(all_24_28) & $i(all_24_29) & % 48.39/7.61 | $i(all_24_30) & $i(all_24_31) & (all_24_0 = e23 | all_24_1 = e22 | % 48.39/7.61 | all_24_2 = e21 | all_24_3 = e20) & (all_24_4 = e23 | all_24_5 = e22 % 48.39/7.61 | | all_24_6 = e21 | all_24_7 = e20) & (all_24_8 = e23 | all_24_9 = % 48.39/7.61 | e22 | all_24_10 = e21 | all_24_11 = e20) & (all_24_12 = e23 | % 48.39/7.61 | all_24_13 = e22 | all_24_14 = e21 | all_24_15 = e20) & ((all_24_16 % 48.39/7.61 | = e23 & all_24_21 = e23 & ~ (all_24_17 = e22)) | (all_24_16 = % 48.39/7.61 | e23 & all_24_26 = e23 & ~ (all_24_18 = e21)) | (all_24_16 = e23 % 48.39/7.61 | & all_24_31 = e23 & ~ (all_24_19 = e20)) | (all_24_16 = e22 & % 48.39/7.61 | all_24_21 = e22 & ~ (all_24_20 = e23)) | (all_24_16 = e22 & % 48.39/7.61 | all_24_22 = e21 & all_24_25 = e21 & ~ (all_24_20 = e23)) | % 48.39/7.61 | (all_24_16 = e22 & all_24_23 = e20 & all_24_29 = e20 & ~ % 48.39/7.61 | (all_24_20 = e23)) | (all_24_16 = e21 & all_24_22 = e22 & % 48.39/7.61 | all_24_25 = e22 & ~ (all_24_24 = e23)) | (all_24_16 = e21 & % 48.39/7.61 | all_24_26 = e21 & ~ (all_24_24 = e23)) | (all_24_16 = e21 & % 48.39/7.61 | all_24_27 = e20 & all_24_30 = e20 & ~ (all_24_24 = e23)) | % 48.39/7.61 | (all_24_16 = e20 & all_24_23 = e22 & all_24_29 = e22 & ~ % 48.39/7.61 | (all_24_28 = e23)) | (all_24_16 = e20 & all_24_27 = e21 & % 48.39/7.61 | all_24_30 = e21 & ~ (all_24_28 = e23)) | (all_24_17 = e23 & % 48.39/7.61 | all_24_20 = e23 & all_24_26 = e22 & ~ (all_24_22 = e21)) | % 48.39/7.61 | (all_24_17 = e23 & all_24_20 = e23 & all_24_31 = e22 & ~ % 48.39/7.61 | (all_24_23 = e20)) | (all_24_17 = e22 & all_24_20 = e22 & % 48.39/7.61 | all_24_26 = e23 & ~ (all_24_18 = e21)) | (all_24_17 = e22 & % 48.39/7.61 | all_24_20 = e22 & all_24_31 = e23 & ~ (all_24_19 = e20)) | % 48.39/7.61 | (all_24_18 = e23 & all_24_21 = e21 & all_24_24 = e23 & ~ % 48.39/7.61 | (all_24_25 = e22)) | (all_24_18 = e23 & all_24_24 = e23 & % 48.39/7.61 | all_24_31 = e21 & ~ (all_24_27 = e20)) | (all_24_18 = e21 & % 48.39/7.61 | all_24_21 = e23 & all_24_24 = e21 & ~ (all_24_17 = e22)) | % 48.39/7.61 | (all_24_18 = e21 & all_24_24 = e21 & all_24_31 = e23 & ~ % 48.39/7.61 | (all_24_19 = e20)) | (all_24_19 = e23 & all_24_21 = e20 & % 48.39/7.61 | all_24_28 = e23 & ~ (all_24_29 = e22)) | (all_24_19 = e23 & % 48.39/7.61 | all_24_26 = e20 & all_24_28 = e23 & ~ (all_24_30 = e21)) | % 48.39/7.61 | (all_24_19 = e20 & all_24_21 = e23 & all_24_28 = e20 & ~ % 48.39/7.61 | (all_24_17 = e22)) | (all_24_19 = e20 & all_24_26 = e23 & % 48.39/7.61 | all_24_28 = e20 & ~ (all_24_18 = e21)) | (all_24_21 = e22 & % 48.39/7.61 | all_24_26 = e22 & ~ (all_24_22 = e21)) | (all_24_21 = e22 & % 48.39/7.61 | all_24_31 = e22 & ~ (all_24_23 = e20)) | (all_24_21 = e21 & % 48.39/7.61 | all_24_26 = e21 & ~ (all_24_25 = e22)) | (all_24_21 = e21 & % 48.39/7.61 | all_24_27 = e20 & all_24_30 = e20 & ~ (all_24_25 = e22)) | % 48.39/7.61 | (all_24_21 = e20 & all_24_27 = e21 & all_24_30 = e21 & ~ % 48.39/7.61 | (all_24_29 = e22)) | (all_24_22 = e22 & all_24_25 = e22 & % 48.39/7.61 | all_24_31 = e21 & ~ (all_24_27 = e20)) | (all_24_22 = e21 & % 48.39/7.61 | all_24_25 = e21 & all_24_31 = e22 & ~ (all_24_23 = e20)) | % 48.39/7.61 | (all_24_23 = e22 & all_24_26 = e20 & all_24_29 = e22 & ~ % 48.39/7.61 | (all_24_30 = e21)) | (all_24_23 = e20 & all_24_26 = e22 & % 48.39/7.61 | all_24_29 = e20 & ~ (all_24_22 = e21)) | (all_24_26 = e21 & % 48.39/7.61 | all_24_31 = e21 & ~ (all_24_27 = e20)) | (all_24_31 = e20 & % 48.39/7.61 | ((all_24_16 = e20 & ~ (all_24_28 = e23)) | (all_24_21 = e20 & ~ % 48.39/7.61 | (all_24_29 = e22)) | (all_24_26 = e20 & ~ (all_24_30 = % 48.39/7.61 | e21))))) & (( ~ (all_24_16 = e23) & ~ (all_24_17 = e22) & % 48.39/7.61 | ~ (all_24_18 = e21) & ~ (all_24_19 = e20)) | ( ~ (all_24_20 = % 48.39/7.61 | e23) & ~ (all_24_21 = e22) & ~ (all_24_22 = e21) & ~ % 48.39/7.61 | (all_24_23 = e20)) | ( ~ (all_24_24 = e23) & ~ (all_24_25 = e22) % 48.39/7.61 | & ~ (all_24_26 = e21) & ~ (all_24_27 = e20)) | ( ~ (all_24_28 = % 48.39/7.61 | e23) & ~ (all_24_29 = e22) & ~ (all_24_30 = e21) & ~ % 48.39/7.61 | (all_24_31 = e20))) % 48.39/7.61 | % 48.39/7.61 | ALPHA: (285) implies: % 48.39/7.61 | (286) op2(e20, e20) = all_24_31 % 48.39/7.61 | (287) op2(e20, e21) = all_24_27 % 48.39/7.61 | (288) op2(e20, e22) = all_24_23 % 48.39/7.61 | (289) op2(e20, e23) = all_24_19 % 48.39/7.61 | (290) op2(e20, all_24_31) = all_24_15 % 48.39/7.61 | (291) op2(e20, all_24_27) = all_24_14 % 48.39/7.61 | (292) op2(e20, all_24_23) = all_24_13 % 48.39/7.61 | (293) op2(e20, all_24_19) = all_24_12 % 48.39/7.61 | (294) op2(e21, e20) = all_24_30 % 48.39/7.61 | (295) op2(e21, e21) = all_24_26 % 48.39/7.61 | (296) op2(e21, e22) = all_24_22 % 48.39/7.61 | (297) op2(e21, e23) = all_24_18 % 48.39/7.61 | (298) op2(e21, all_24_30) = all_24_11 % 48.39/7.61 | (299) op2(e21, all_24_26) = all_24_10 % 48.39/7.61 | (300) op2(e21, all_24_22) = all_24_9 % 48.39/7.61 | (301) op2(e21, all_24_18) = all_24_8 % 48.39/7.61 | (302) op2(e22, e20) = all_24_29 % 48.39/7.61 | (303) op2(e22, e21) = all_24_25 % 48.39/7.61 | (304) op2(e22, e22) = all_24_21 % 48.39/7.61 | (305) op2(e22, e23) = all_24_17 % 48.39/7.61 | (306) op2(e22, all_24_29) = all_24_7 % 48.39/7.61 | (307) op2(e22, all_24_25) = all_24_6 % 48.39/7.61 | (308) op2(e22, all_24_21) = all_24_5 % 48.39/7.61 | (309) op2(e22, all_24_17) = all_24_4 % 48.39/7.61 | (310) op2(e23, e20) = all_24_28 % 48.39/7.61 | (311) op2(e23, e21) = all_24_24 % 48.39/7.61 | (312) op2(e23, e22) = all_24_20 % 48.39/7.61 | (313) op2(e23, e23) = all_24_16 % 48.39/7.61 | (314) op2(e23, all_24_28) = all_24_3 % 48.39/7.61 | (315) op2(e23, all_24_20) = all_24_1 % 48.39/7.61 | (316) op2(e23, all_24_16) = all_24_0 % 48.39/7.61 | (317) ( ~ (all_24_16 = e23) & ~ (all_24_17 = e22) & ~ (all_24_18 = e21) & % 48.39/7.61 | ~ (all_24_19 = e20)) | ( ~ (all_24_20 = e23) & ~ (all_24_21 = % 48.39/7.61 | e22) & ~ (all_24_22 = e21) & ~ (all_24_23 = e20)) | ( ~ % 48.39/7.61 | (all_24_24 = e23) & ~ (all_24_25 = e22) & ~ (all_24_26 = e21) & % 48.39/7.61 | ~ (all_24_27 = e20)) | ( ~ (all_24_28 = e23) & ~ (all_24_29 = e22) % 48.39/7.61 | & ~ (all_24_30 = e21) & ~ (all_24_31 = e20)) % 48.39/7.61 | (318) all_24_12 = e23 | all_24_13 = e22 | all_24_14 = e21 | all_24_15 = e20 % 48.39/7.61 | (319) all_24_8 = e23 | all_24_9 = e22 | all_24_10 = e21 | all_24_11 = e20 % 48.39/7.61 | (320) all_24_4 = e23 | all_24_5 = e22 | all_24_6 = e21 | all_24_7 = e20 % 48.39/7.61 | % 48.39/7.61 | DELTA: instantiating (14) with fresh symbols all_26_0, all_26_1, all_26_2, % 48.39/7.61 | all_26_3, all_26_4, all_26_5, all_26_6, all_26_7, all_26_8, all_26_9, % 48.39/7.61 | all_26_10, all_26_11, all_26_12, all_26_13, all_26_14, all_26_15, % 48.39/7.61 | all_26_16, all_26_17, all_26_18, all_26_19, all_26_20, all_26_21, % 48.39/7.61 | all_26_22, all_26_23, all_26_24, all_26_25, all_26_26, all_26_27, % 48.39/7.61 | all_26_28, all_26_29, all_26_30, all_26_31 gives: % 48.39/7.62 | (321) op1(e13, all_26_16) = all_26_0 & op1(e13, all_26_20) = all_26_1 & % 48.39/7.62 | op1(e13, all_26_24) = all_26_2 & op1(e13, all_26_28) = all_26_3 & % 48.39/7.62 | op1(e13, e13) = all_26_16 & op1(e13, e12) = all_26_20 & op1(e13, e11) % 48.39/7.62 | = all_26_24 & op1(e13, e10) = all_26_28 & op1(e12, all_26_17) = % 48.39/7.62 | all_26_4 & op1(e12, all_26_21) = all_26_5 & op1(e12, all_26_25) = % 48.39/7.62 | all_26_6 & op1(e12, all_26_29) = all_26_7 & op1(e12, e13) = all_26_17 % 48.39/7.62 | & op1(e12, e12) = all_26_21 & op1(e12, e11) = all_26_25 & op1(e12, % 48.39/7.62 | e10) = all_26_29 & op1(e11, all_26_18) = all_26_8 & op1(e11, % 48.39/7.62 | all_26_22) = all_26_9 & op1(e11, all_26_26) = all_26_10 & op1(e11, % 48.39/7.62 | all_26_30) = all_26_11 & op1(e11, e13) = all_26_18 & op1(e11, e12) % 48.39/7.62 | = all_26_22 & op1(e11, e11) = all_26_26 & op1(e11, e10) = all_26_30 & % 48.39/7.62 | op1(e10, all_26_19) = all_26_12 & op1(e10, all_26_23) = all_26_13 & % 48.39/7.62 | op1(e10, all_26_27) = all_26_14 & op1(e10, all_26_31) = all_26_15 & % 48.39/7.62 | op1(e10, e13) = all_26_19 & op1(e10, e12) = all_26_23 & op1(e10, e11) % 48.39/7.62 | = all_26_27 & op1(e10, e10) = all_26_31 & $i(all_26_0) & $i(all_26_1) % 48.39/7.62 | & $i(all_26_2) & $i(all_26_3) & $i(all_26_4) & $i(all_26_5) & % 48.39/7.62 | $i(all_26_6) & $i(all_26_7) & $i(all_26_8) & $i(all_26_9) & % 48.39/7.62 | $i(all_26_10) & $i(all_26_11) & $i(all_26_12) & $i(all_26_13) & % 48.39/7.62 | $i(all_26_14) & $i(all_26_15) & $i(all_26_16) & $i(all_26_17) & % 48.39/7.62 | $i(all_26_18) & $i(all_26_19) & $i(all_26_20) & $i(all_26_21) & % 48.39/7.62 | $i(all_26_22) & $i(all_26_23) & $i(all_26_24) & $i(all_26_25) & % 48.39/7.62 | $i(all_26_26) & $i(all_26_27) & $i(all_26_28) & $i(all_26_29) & % 48.39/7.62 | $i(all_26_30) & $i(all_26_31) & (all_26_0 = e13 | all_26_1 = e12 | % 48.39/7.62 | all_26_2 = e11 | all_26_3 = e10) & (all_26_4 = e13 | all_26_5 = e12 % 48.39/7.62 | | all_26_6 = e11 | all_26_7 = e10) & (all_26_8 = e13 | all_26_9 = % 48.39/7.62 | e12 | all_26_10 = e11 | all_26_11 = e10) & (all_26_12 = e13 | % 48.39/7.62 | all_26_13 = e12 | all_26_14 = e11 | all_26_15 = e10) & ((all_26_16 % 48.39/7.62 | = e13 & all_26_21 = e13 & ~ (all_26_17 = e12)) | (all_26_16 = % 48.39/7.62 | e13 & all_26_26 = e13 & ~ (all_26_18 = e11)) | (all_26_16 = e13 % 48.39/7.62 | & all_26_31 = e13 & ~ (all_26_19 = e10)) | (all_26_16 = e12 & % 48.39/7.62 | all_26_21 = e12 & ~ (all_26_20 = e13)) | (all_26_16 = e12 & % 48.39/7.62 | all_26_22 = e11 & all_26_25 = e11 & ~ (all_26_20 = e13)) | % 48.39/7.62 | (all_26_16 = e12 & all_26_23 = e10 & all_26_29 = e10 & ~ % 48.39/7.62 | (all_26_20 = e13)) | (all_26_16 = e11 & all_26_22 = e12 & % 48.39/7.62 | all_26_25 = e12 & ~ (all_26_24 = e13)) | (all_26_16 = e11 & % 48.39/7.62 | all_26_26 = e11 & ~ (all_26_24 = e13)) | (all_26_16 = e11 & % 48.39/7.62 | all_26_27 = e10 & all_26_30 = e10 & ~ (all_26_24 = e13)) | % 48.39/7.62 | (all_26_16 = e10 & all_26_23 = e12 & all_26_29 = e12 & ~ % 48.39/7.62 | (all_26_28 = e13)) | (all_26_16 = e10 & all_26_27 = e11 & % 48.39/7.62 | all_26_30 = e11 & ~ (all_26_28 = e13)) | (all_26_17 = e13 & % 48.39/7.62 | all_26_20 = e13 & all_26_26 = e12 & ~ (all_26_22 = e11)) | % 48.39/7.62 | (all_26_17 = e13 & all_26_20 = e13 & all_26_31 = e12 & ~ % 48.39/7.62 | (all_26_23 = e10)) | (all_26_17 = e12 & all_26_20 = e12 & % 48.39/7.62 | all_26_26 = e13 & ~ (all_26_18 = e11)) | (all_26_17 = e12 & % 48.39/7.62 | all_26_20 = e12 & all_26_31 = e13 & ~ (all_26_19 = e10)) | % 48.39/7.62 | (all_26_18 = e13 & all_26_21 = e11 & all_26_24 = e13 & ~ % 48.39/7.62 | (all_26_25 = e12)) | (all_26_18 = e13 & all_26_24 = e13 & % 48.39/7.62 | all_26_31 = e11 & ~ (all_26_27 = e10)) | (all_26_18 = e11 & % 48.39/7.62 | all_26_21 = e13 & all_26_24 = e11 & ~ (all_26_17 = e12)) | % 48.39/7.62 | (all_26_18 = e11 & all_26_24 = e11 & all_26_31 = e13 & ~ % 48.39/7.62 | (all_26_19 = e10)) | (all_26_19 = e13 & all_26_21 = e10 & % 48.39/7.62 | all_26_28 = e13 & ~ (all_26_29 = e12)) | (all_26_19 = e13 & % 48.39/7.62 | all_26_26 = e10 & all_26_28 = e13 & ~ (all_26_30 = e11)) | % 48.39/7.62 | (all_26_19 = e10 & all_26_21 = e13 & all_26_28 = e10 & ~ % 48.39/7.62 | (all_26_17 = e12)) | (all_26_19 = e10 & all_26_26 = e13 & % 48.39/7.62 | all_26_28 = e10 & ~ (all_26_18 = e11)) | (all_26_21 = e12 & % 48.39/7.62 | all_26_26 = e12 & ~ (all_26_22 = e11)) | (all_26_21 = e12 & % 48.39/7.62 | all_26_31 = e12 & ~ (all_26_23 = e10)) | (all_26_21 = e11 & % 48.39/7.62 | all_26_26 = e11 & ~ (all_26_25 = e12)) | (all_26_21 = e11 & % 48.39/7.62 | all_26_27 = e10 & all_26_30 = e10 & ~ (all_26_25 = e12)) | % 48.39/7.62 | (all_26_21 = e10 & all_26_27 = e11 & all_26_30 = e11 & ~ % 48.39/7.62 | (all_26_29 = e12)) | (all_26_22 = e12 & all_26_25 = e12 & % 48.39/7.62 | all_26_31 = e11 & ~ (all_26_27 = e10)) | (all_26_22 = e11 & % 48.39/7.62 | all_26_25 = e11 & all_26_31 = e12 & ~ (all_26_23 = e10)) | % 48.39/7.62 | (all_26_23 = e12 & all_26_26 = e10 & all_26_29 = e12 & ~ % 48.39/7.62 | (all_26_30 = e11)) | (all_26_23 = e10 & all_26_26 = e12 & % 48.39/7.62 | all_26_29 = e10 & ~ (all_26_22 = e11)) | (all_26_26 = e11 & % 48.39/7.62 | all_26_31 = e11 & ~ (all_26_27 = e10)) | (all_26_31 = e10 & % 48.39/7.62 | ((all_26_16 = e10 & ~ (all_26_28 = e13)) | (all_26_21 = e10 & ~ % 48.39/7.62 | (all_26_29 = e12)) | (all_26_26 = e10 & ~ (all_26_30 = % 48.39/7.62 | e11))))) & (( ~ (all_26_16 = e13) & ~ (all_26_17 = e12) & % 48.39/7.62 | ~ (all_26_18 = e11) & ~ (all_26_19 = e10)) | ( ~ (all_26_20 = % 48.39/7.62 | e13) & ~ (all_26_21 = e12) & ~ (all_26_22 = e11) & ~ % 48.39/7.62 | (all_26_23 = e10)) | ( ~ (all_26_24 = e13) & ~ (all_26_25 = e12) % 48.39/7.62 | & ~ (all_26_26 = e11) & ~ (all_26_27 = e10)) | ( ~ (all_26_28 = % 48.39/7.62 | e13) & ~ (all_26_29 = e12) & ~ (all_26_30 = e11) & ~ % 48.39/7.62 | (all_26_31 = e10))) % 48.39/7.62 | % 48.39/7.62 | ALPHA: (321) implies: % 48.39/7.62 | (322) op1(e10, e10) = all_26_31 % 48.39/7.62 | (323) op1(e10, e11) = all_26_27 % 48.39/7.62 | (324) op1(e10, e12) = all_26_23 % 48.39/7.62 | (325) op1(e10, e13) = all_26_19 % 48.39/7.62 | (326) op1(e10, all_26_31) = all_26_15 % 48.39/7.62 | (327) op1(e10, all_26_27) = all_26_14 % 48.39/7.62 | (328) op1(e10, all_26_23) = all_26_13 % 48.39/7.62 | (329) op1(e10, all_26_19) = all_26_12 % 48.39/7.62 | (330) op1(e11, e10) = all_26_30 % 48.39/7.62 | (331) op1(e11, e11) = all_26_26 % 48.39/7.62 | (332) op1(e11, e12) = all_26_22 % 48.39/7.62 | (333) op1(e11, e13) = all_26_18 % 48.39/7.62 | (334) op1(e11, all_26_30) = all_26_11 % 48.39/7.62 | (335) op1(e11, all_26_26) = all_26_10 % 48.39/7.62 | (336) op1(e11, all_26_22) = all_26_9 % 48.39/7.62 | (337) op1(e11, all_26_18) = all_26_8 % 48.39/7.62 | (338) op1(e12, e10) = all_26_29 % 48.39/7.62 | (339) op1(e12, e11) = all_26_25 % 48.39/7.62 | (340) op1(e12, e12) = all_26_21 % 48.39/7.62 | (341) op1(e12, e13) = all_26_17 % 48.39/7.62 | (342) op1(e12, all_26_29) = all_26_7 % 48.39/7.62 | (343) op1(e12, all_26_25) = all_26_6 % 48.39/7.62 | (344) op1(e12, all_26_21) = all_26_5 % 48.39/7.62 | (345) op1(e12, all_26_17) = all_26_4 % 48.39/7.62 | (346) op1(e13, e10) = all_26_28 % 48.39/7.62 | (347) op1(e13, e11) = all_26_24 % 48.39/7.62 | (348) op1(e13, e12) = all_26_20 % 48.39/7.62 | (349) op1(e13, e13) = all_26_16 % 48.39/7.62 | (350) ( ~ (all_26_16 = e13) & ~ (all_26_17 = e12) & ~ (all_26_18 = e11) & % 48.39/7.62 | ~ (all_26_19 = e10)) | ( ~ (all_26_20 = e13) & ~ (all_26_21 = % 48.39/7.62 | e12) & ~ (all_26_22 = e11) & ~ (all_26_23 = e10)) | ( ~ % 48.39/7.62 | (all_26_24 = e13) & ~ (all_26_25 = e12) & ~ (all_26_26 = e11) & % 48.39/7.62 | ~ (all_26_27 = e10)) | ( ~ (all_26_28 = e13) & ~ (all_26_29 = e12) % 48.39/7.62 | & ~ (all_26_30 = e11) & ~ (all_26_31 = e10)) % 48.39/7.62 | (351) all_26_12 = e13 | all_26_13 = e12 | all_26_14 = e11 | all_26_15 = e10 % 48.39/7.62 | (352) all_26_8 = e13 | all_26_9 = e12 | all_26_10 = e11 | all_26_11 = e10 % 48.39/7.62 | (353) all_26_4 = e13 | all_26_5 = e12 | all_26_6 = e11 | all_26_7 = e10 % 48.39/7.62 | % 48.39/7.62 | DELTA: instantiating (26) with fresh symbols all_28_0, all_28_1, all_28_2, % 48.39/7.62 | all_28_3, all_28_4, all_28_5, all_28_6, all_28_7, all_28_8, all_28_9, % 48.39/7.62 | all_28_10, all_28_11, all_28_12, all_28_13, all_28_14, all_28_15, % 48.39/7.62 | all_28_16, all_28_17, all_28_18, all_28_19, all_28_20, all_28_21, % 48.39/7.62 | all_28_22, all_28_23, all_28_24, all_28_25, all_28_26, all_28_27, % 48.39/7.62 | all_28_28, all_28_29, all_28_30, all_28_31, all_28_32, all_28_33, % 48.39/7.62 | all_28_34, all_28_35, all_28_36, all_28_37, all_28_38, all_28_39, % 48.39/7.62 | all_28_40, all_28_41, all_28_42, all_28_43, all_28_44, all_28_45, % 48.39/7.62 | all_28_46, all_28_47, all_28_48, all_28_49, all_28_50, all_28_51, % 48.39/7.62 | all_28_52, all_28_53, all_28_54, all_28_55, all_28_56, all_28_57, % 48.39/7.62 | all_28_58, all_28_59, all_28_60, all_28_61, all_28_62, all_28_63, % 48.39/7.62 | all_28_64, all_28_65, all_28_66, all_28_67, all_28_68, all_28_69, % 48.39/7.62 | all_28_70, all_28_71, all_28_72, all_28_73, all_28_74, all_28_75, % 48.39/7.62 | all_28_76, all_28_77, all_28_78, all_28_79, all_28_80, all_28_81, % 48.39/7.62 | all_28_82, all_28_83, all_28_84, all_28_85, all_28_86, all_28_87, % 48.39/7.62 | all_28_88, all_28_89, all_28_90, all_28_91, all_28_92, all_28_93, % 48.39/7.62 | all_28_94, all_28_95, all_28_96, all_28_97, all_28_98, all_28_99, % 48.39/7.62 | all_28_100, all_28_101, all_28_102, all_28_103, all_28_104, all_28_105, % 48.39/7.62 | all_28_106, all_28_107, all_28_108, all_28_109, all_28_110, all_28_111, % 48.39/7.62 | all_28_112, all_28_113, all_28_114, all_28_115, all_28_116, all_28_117, % 48.39/7.62 | all_28_118, all_28_119, all_28_120, all_28_121, all_28_122, all_28_123, % 48.39/7.62 | all_28_124, all_28_125, all_28_126, all_28_127, all_28_128, all_28_129, % 48.39/7.62 | all_28_130, all_28_131, all_28_132, all_28_133, all_28_134, all_28_135, % 48.39/7.62 | all_28_136, all_28_137, all_28_138, all_28_139, all_28_140, all_28_141, % 48.39/7.62 | all_28_142, all_28_143, all_28_144, all_28_145, all_28_146, all_28_147, % 48.39/7.62 | all_28_148, all_28_149, all_28_150, all_28_151, all_28_152, all_28_153, % 48.39/7.62 | all_28_154, all_28_155, all_28_156, all_28_157, all_28_158, all_28_159 % 48.39/7.62 | gives: % 48.39/7.63 | (354) h4(all_28_110) = all_28_1 & h4(all_28_113) = all_28_3 & % 48.39/7.63 | h4(all_28_116) = all_28_5 & h4(all_28_119) = all_28_7 & % 48.39/7.63 | h4(all_28_122) = all_28_9 & h4(all_28_125) = all_28_11 & % 48.39/7.63 | h4(all_28_128) = all_28_13 & h4(all_28_131) = all_28_15 & % 48.39/7.63 | h4(all_28_134) = all_28_17 & h4(all_28_137) = all_28_19 & % 48.39/7.63 | h4(all_28_140) = all_28_21 & h4(all_28_143) = all_28_23 & % 48.39/7.63 | h4(all_28_147) = all_28_26 & h4(all_28_151) = all_28_29 & % 48.39/7.63 | h4(all_28_155) = all_28_32 & h4(all_28_159) = all_28_35 & h4(e13) = % 48.39/7.63 | all_28_25 & h4(e12) = all_28_28 & h4(e11) = all_28_31 & h4(e10) = % 48.39/7.63 | all_28_34 & h3(all_28_110) = all_28_37 & h3(all_28_113) = all_28_39 & % 48.39/7.63 | h3(all_28_116) = all_28_41 & h3(all_28_119) = all_28_43 & % 48.39/7.63 | h3(all_28_122) = all_28_45 & h3(all_28_125) = all_28_47 & % 48.39/7.63 | h3(all_28_128) = all_28_49 & h3(all_28_131) = all_28_51 & % 48.39/7.63 | h3(all_28_134) = all_28_53 & h3(all_28_137) = all_28_55 & % 48.39/7.63 | h3(all_28_140) = all_28_57 & h3(all_28_143) = all_28_59 & % 48.39/7.63 | h3(all_28_147) = all_28_62 & h3(all_28_151) = all_28_65 & % 48.39/7.63 | h3(all_28_155) = all_28_68 & h3(all_28_159) = all_28_71 & h3(e13) = % 48.39/7.63 | all_28_61 & h3(e12) = all_28_64 & h3(e11) = all_28_67 & h3(e10) = % 48.39/7.63 | all_28_70 & h2(all_28_110) = all_28_73 & h2(all_28_113) = all_28_75 & % 48.39/7.63 | h2(all_28_116) = all_28_77 & h2(all_28_119) = all_28_79 & % 48.39/7.63 | h2(all_28_122) = all_28_81 & h2(all_28_125) = all_28_83 & % 48.39/7.63 | h2(all_28_128) = all_28_85 & h2(all_28_131) = all_28_87 & % 48.39/7.63 | h2(all_28_134) = all_28_89 & h2(all_28_137) = all_28_91 & % 48.39/7.63 | h2(all_28_140) = all_28_93 & h2(all_28_143) = all_28_95 & % 48.39/7.63 | h2(all_28_147) = all_28_98 & h2(all_28_151) = all_28_101 & % 48.39/7.63 | h2(all_28_155) = all_28_104 & h2(all_28_159) = all_28_107 & h2(e13) = % 48.39/7.63 | all_28_97 & h2(e12) = all_28_100 & h2(e11) = all_28_103 & h2(e10) = % 48.39/7.63 | all_28_106 & h1(all_28_110) = all_28_109 & h1(all_28_113) = % 48.39/7.63 | all_28_112 & h1(all_28_116) = all_28_115 & h1(all_28_119) = % 48.39/7.63 | all_28_118 & h1(all_28_122) = all_28_121 & h1(all_28_125) = % 48.39/7.63 | all_28_124 & h1(all_28_128) = all_28_127 & h1(all_28_131) = % 48.39/7.63 | all_28_130 & h1(all_28_134) = all_28_133 & h1(all_28_137) = % 48.39/7.63 | all_28_136 & h1(all_28_140) = all_28_139 & h1(all_28_143) = % 48.39/7.63 | all_28_142 & h1(all_28_147) = all_28_146 & h1(all_28_151) = % 48.39/7.63 | all_28_150 & h1(all_28_155) = all_28_154 & h1(all_28_159) = % 48.39/7.63 | all_28_158 & h1(e13) = all_28_145 & h1(e12) = all_28_149 & h1(e11) = % 48.39/7.63 | all_28_153 & h1(e10) = all_28_157 & op2(all_28_25, all_28_25) = % 48.39/7.63 | all_28_0 & op2(all_28_25, all_28_28) = all_28_2 & op2(all_28_25, % 48.39/7.63 | all_28_31) = all_28_4 & op2(all_28_25, all_28_34) = all_28_6 & % 48.39/7.63 | op2(all_28_28, all_28_25) = all_28_8 & op2(all_28_28, all_28_28) = % 48.39/7.63 | all_28_10 & op2(all_28_28, all_28_31) = all_28_12 & op2(all_28_28, % 48.39/7.63 | all_28_34) = all_28_14 & op2(all_28_31, all_28_25) = all_28_16 & % 48.39/7.63 | op2(all_28_31, all_28_28) = all_28_18 & op2(all_28_31, all_28_31) = % 48.39/7.63 | all_28_20 & op2(all_28_31, all_28_34) = all_28_22 & op2(all_28_34, % 48.39/7.63 | all_28_25) = all_28_24 & op2(all_28_34, all_28_28) = all_28_27 & % 48.39/7.63 | op2(all_28_34, all_28_31) = all_28_30 & op2(all_28_34, all_28_34) = % 48.39/7.63 | all_28_33 & op2(all_28_61, all_28_61) = all_28_36 & op2(all_28_61, % 48.39/7.63 | all_28_64) = all_28_38 & op2(all_28_61, all_28_67) = all_28_40 & % 48.39/7.63 | op2(all_28_61, all_28_70) = all_28_42 & op2(all_28_64, all_28_61) = % 48.39/7.63 | all_28_44 & op2(all_28_64, all_28_64) = all_28_46 & op2(all_28_64, % 48.39/7.63 | all_28_67) = all_28_48 & op2(all_28_64, all_28_70) = all_28_50 & % 48.39/7.63 | op2(all_28_67, all_28_61) = all_28_52 & op2(all_28_67, all_28_64) = % 48.39/7.63 | all_28_54 & op2(all_28_67, all_28_67) = all_28_56 & op2(all_28_67, % 48.39/7.63 | all_28_70) = all_28_58 & op2(all_28_70, all_28_61) = all_28_60 & % 48.39/7.63 | op2(all_28_70, all_28_64) = all_28_63 & op2(all_28_70, all_28_67) = % 48.39/7.63 | all_28_66 & op2(all_28_70, all_28_70) = all_28_69 & op2(all_28_97, % 48.39/7.63 | all_28_97) = all_28_72 & op2(all_28_97, all_28_100) = all_28_74 & % 48.39/7.63 | op2(all_28_97, all_28_103) = all_28_76 & op2(all_28_97, all_28_106) = % 48.39/7.63 | all_28_78 & op2(all_28_100, all_28_97) = all_28_80 & op2(all_28_100, % 48.39/7.63 | all_28_100) = all_28_82 & op2(all_28_100, all_28_103) = all_28_84 & % 48.39/7.63 | op2(all_28_100, all_28_106) = all_28_86 & op2(all_28_103, all_28_97) % 48.39/7.63 | = all_28_88 & op2(all_28_103, all_28_100) = all_28_90 & % 48.39/7.63 | op2(all_28_103, all_28_103) = all_28_92 & op2(all_28_103, all_28_106) % 48.39/7.63 | = all_28_94 & op2(all_28_106, all_28_97) = all_28_96 & % 48.39/7.63 | op2(all_28_106, all_28_100) = all_28_99 & op2(all_28_106, all_28_103) % 48.39/7.63 | = all_28_102 & op2(all_28_106, all_28_106) = all_28_105 & % 48.39/7.63 | op2(all_28_145, all_28_145) = all_28_108 & op2(all_28_145, % 48.39/7.63 | all_28_149) = all_28_111 & op2(all_28_145, all_28_153) = all_28_114 % 48.39/7.63 | & op2(all_28_145, all_28_157) = all_28_117 & op2(all_28_149, % 48.39/7.63 | all_28_145) = all_28_120 & op2(all_28_149, all_28_149) = all_28_123 % 48.39/7.63 | & op2(all_28_149, all_28_153) = all_28_126 & op2(all_28_149, % 48.39/7.63 | all_28_157) = all_28_129 & op2(all_28_153, all_28_145) = all_28_132 % 48.39/7.63 | & op2(all_28_153, all_28_149) = all_28_135 & op2(all_28_153, % 48.39/7.63 | all_28_153) = all_28_138 & op2(all_28_153, all_28_157) = all_28_141 % 48.39/7.63 | & op2(all_28_157, all_28_145) = all_28_144 & op2(all_28_157, % 48.39/7.63 | all_28_149) = all_28_148 & op2(all_28_157, all_28_153) = all_28_152 % 48.39/7.63 | & op2(all_28_157, all_28_157) = all_28_156 & op1(e13, e13) = % 48.39/7.63 | all_28_110 & op1(e13, e12) = all_28_113 & op1(e13, e11) = all_28_116 % 48.39/7.63 | & op1(e13, e10) = all_28_119 & op1(e12, e13) = all_28_122 & op1(e12, % 48.39/7.63 | e12) = all_28_125 & op1(e12, e11) = all_28_128 & op1(e12, e10) = % 48.39/7.63 | all_28_131 & op1(e11, e13) = all_28_134 & op1(e11, e12) = all_28_137 % 48.39/7.63 | & op1(e11, e11) = all_28_140 & op1(e11, e10) = all_28_143 & op1(e10, % 48.39/7.63 | e13) = all_28_147 & op1(e10, e12) = all_28_151 & op1(e10, e11) = % 48.39/7.63 | all_28_155 & op1(e10, e10) = all_28_159 & $i(all_28_0) & $i(all_28_1) % 48.39/7.63 | & $i(all_28_2) & $i(all_28_3) & $i(all_28_4) & $i(all_28_5) & % 48.39/7.63 | $i(all_28_6) & $i(all_28_7) & $i(all_28_8) & $i(all_28_9) & % 48.39/7.63 | $i(all_28_10) & $i(all_28_11) & $i(all_28_12) & $i(all_28_13) & % 48.39/7.63 | $i(all_28_14) & $i(all_28_15) & $i(all_28_16) & $i(all_28_17) & % 48.39/7.63 | $i(all_28_18) & $i(all_28_19) & $i(all_28_20) & $i(all_28_21) & % 48.39/7.63 | $i(all_28_22) & $i(all_28_23) & $i(all_28_24) & $i(all_28_25) & % 48.39/7.63 | $i(all_28_26) & $i(all_28_27) & $i(all_28_28) & $i(all_28_29) & % 48.39/7.63 | $i(all_28_30) & $i(all_28_31) & $i(all_28_32) & $i(all_28_33) & % 48.39/7.63 | $i(all_28_34) & $i(all_28_35) & $i(all_28_36) & $i(all_28_37) & % 48.39/7.63 | $i(all_28_38) & $i(all_28_39) & $i(all_28_40) & $i(all_28_41) & % 48.39/7.63 | $i(all_28_42) & $i(all_28_43) & $i(all_28_44) & $i(all_28_45) & % 48.39/7.63 | $i(all_28_46) & $i(all_28_47) & $i(all_28_48) & $i(all_28_49) & % 48.39/7.63 | $i(all_28_50) & $i(all_28_51) & $i(all_28_52) & $i(all_28_53) & % 48.39/7.63 | $i(all_28_54) & $i(all_28_55) & $i(all_28_56) & $i(all_28_57) & % 48.39/7.63 | $i(all_28_58) & $i(all_28_59) & $i(all_28_60) & $i(all_28_61) & % 48.39/7.63 | $i(all_28_62) & $i(all_28_63) & $i(all_28_64) & $i(all_28_65) & % 48.39/7.63 | $i(all_28_66) & $i(all_28_67) & $i(all_28_68) & $i(all_28_69) & % 48.39/7.63 | $i(all_28_70) & $i(all_28_71) & $i(all_28_72) & $i(all_28_73) & % 48.39/7.63 | $i(all_28_74) & $i(all_28_75) & $i(all_28_76) & $i(all_28_77) & % 48.39/7.63 | $i(all_28_78) & $i(all_28_79) & $i(all_28_80) & $i(all_28_81) & % 48.39/7.63 | $i(all_28_82) & $i(all_28_83) & $i(all_28_84) & $i(all_28_85) & % 48.39/7.63 | $i(all_28_86) & $i(all_28_87) & $i(all_28_88) & $i(all_28_89) & % 48.39/7.63 | $i(all_28_90) & $i(all_28_91) & $i(all_28_92) & $i(all_28_93) & % 48.39/7.63 | $i(all_28_94) & $i(all_28_95) & $i(all_28_96) & $i(all_28_97) & % 48.39/7.63 | $i(all_28_98) & $i(all_28_99) & $i(all_28_100) & $i(all_28_101) & % 48.39/7.63 | $i(all_28_102) & $i(all_28_103) & $i(all_28_104) & $i(all_28_105) & % 48.39/7.63 | $i(all_28_106) & $i(all_28_107) & $i(all_28_108) & $i(all_28_109) & % 48.39/7.63 | $i(all_28_110) & $i(all_28_111) & $i(all_28_112) & $i(all_28_113) & % 48.39/7.63 | $i(all_28_114) & $i(all_28_115) & $i(all_28_116) & $i(all_28_117) & % 48.39/7.63 | $i(all_28_118) & $i(all_28_119) & $i(all_28_120) & $i(all_28_121) & % 48.39/7.63 | $i(all_28_122) & $i(all_28_123) & $i(all_28_124) & $i(all_28_125) & % 48.39/7.63 | $i(all_28_126) & $i(all_28_127) & $i(all_28_128) & $i(all_28_129) & % 48.39/7.63 | $i(all_28_130) & $i(all_28_131) & $i(all_28_132) & $i(all_28_133) & % 48.39/7.63 | $i(all_28_134) & $i(all_28_135) & $i(all_28_136) & $i(all_28_137) & % 48.39/7.63 | $i(all_28_138) & $i(all_28_139) & $i(all_28_140) & $i(all_28_141) & % 48.39/7.63 | $i(all_28_142) & $i(all_28_143) & $i(all_28_144) & $i(all_28_145) & % 48.39/7.63 | $i(all_28_146) & $i(all_28_147) & $i(all_28_148) & $i(all_28_149) & % 48.39/7.63 | $i(all_28_150) & $i(all_28_151) & $i(all_28_152) & $i(all_28_153) & % 48.39/7.63 | $i(all_28_154) & $i(all_28_155) & $i(all_28_156) & $i(all_28_157) & % 48.39/7.63 | $i(all_28_158) & $i(all_28_159) & ( ~ (all_28_0 = all_28_1) | ~ % 48.39/7.63 | (all_28_2 = all_28_3) | ~ (all_28_4 = all_28_5) | ~ (all_28_6 = % 48.39/7.63 | all_28_7) | ~ (all_28_8 = all_28_9) | ~ (all_28_10 = all_28_11) % 48.39/7.63 | | ~ (all_28_12 = all_28_13) | ~ (all_28_14 = all_28_15) | ~ % 48.39/7.63 | (all_28_16 = all_28_17) | ~ (all_28_18 = all_28_19) | ~ % 48.39/7.63 | (all_28_20 = all_28_21) | ~ (all_28_22 = all_28_23) | ~ % 48.39/7.63 | (all_28_24 = all_28_26) | ~ (all_28_27 = all_28_29) | ~ % 48.39/7.63 | (all_28_30 = all_28_32) | ~ (all_28_33 = all_28_35) | ( ~ % 48.39/7.63 | (all_28_25 = e23) & ~ (all_28_28 = e23) & ~ (all_28_31 = e23) & % 48.39/7.63 | ~ (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & ~ (all_28_28 = % 48.39/7.63 | e22) & ~ (all_28_31 = e22) & ~ (all_28_34 = e22)) | ( ~ % 48.39/7.63 | (all_28_25 = e21) & ~ (all_28_28 = e21) & ~ (all_28_31 = e21) & % 48.39/7.63 | ~ (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~ (all_28_28 = % 48.39/7.63 | e20) & ~ (all_28_31 = e20) & ~ (all_28_34 = e20))) & ( ~ % 48.39/7.63 | (all_28_36 = all_28_37) | ~ (all_28_38 = all_28_39) | ~ % 48.39/7.63 | (all_28_40 = all_28_41) | ~ (all_28_42 = all_28_43) | ~ % 48.39/7.63 | (all_28_44 = all_28_45) | ~ (all_28_46 = all_28_47) | ~ % 48.39/7.63 | (all_28_48 = all_28_49) | ~ (all_28_50 = all_28_51) | ~ % 48.39/7.63 | (all_28_52 = all_28_53) | ~ (all_28_54 = all_28_55) | ~ % 48.39/7.63 | (all_28_56 = all_28_57) | ~ (all_28_58 = all_28_59) | ~ % 48.39/7.63 | (all_28_60 = all_28_62) | ~ (all_28_63 = all_28_65) | ~ % 48.39/7.63 | (all_28_66 = all_28_68) | ~ (all_28_69 = all_28_71) | ( ~ % 48.39/7.63 | (all_28_61 = e23) & ~ (all_28_64 = e23) & ~ (all_28_67 = e23) & % 48.39/7.63 | ~ (all_28_70 = e23)) | ( ~ (all_28_61 = e22) & ~ (all_28_64 = % 48.39/7.63 | e22) & ~ (all_28_67 = e22) & ~ (all_28_70 = e22)) | ( ~ % 48.39/7.63 | (all_28_61 = e21) & ~ (all_28_64 = e21) & ~ (all_28_67 = e21) & % 48.39/7.63 | ~ (all_28_70 = e21)) | ( ~ (all_28_61 = e20) & ~ (all_28_64 = % 48.39/7.63 | e20) & ~ (all_28_67 = e20) & ~ (all_28_70 = e20))) & ( ~ % 48.39/7.63 | (all_28_72 = all_28_73) | ~ (all_28_74 = all_28_75) | ~ % 48.39/7.63 | (all_28_76 = all_28_77) | ~ (all_28_78 = all_28_79) | ~ % 48.39/7.63 | (all_28_80 = all_28_81) | ~ (all_28_82 = all_28_83) | ~ % 48.39/7.63 | (all_28_84 = all_28_85) | ~ (all_28_86 = all_28_87) | ~ % 48.39/7.63 | (all_28_88 = all_28_89) | ~ (all_28_90 = all_28_91) | ~ % 48.39/7.63 | (all_28_92 = all_28_93) | ~ (all_28_94 = all_28_95) | ~ % 48.39/7.63 | (all_28_96 = all_28_98) | ~ (all_28_99 = all_28_101) | ~ % 48.39/7.63 | (all_28_102 = all_28_104) | ~ (all_28_105 = all_28_107) | ( ~ % 48.39/7.63 | (all_28_97 = e23) & ~ (all_28_100 = e23) & ~ (all_28_103 = e23) % 48.39/7.63 | & ~ (all_28_106 = e23)) | ( ~ (all_28_97 = e22) & ~ (all_28_100 % 48.39/7.63 | = e22) & ~ (all_28_103 = e22) & ~ (all_28_106 = e22)) | ( ~ % 48.39/7.63 | (all_28_97 = e21) & ~ (all_28_100 = e21) & ~ (all_28_103 = e21) % 48.39/7.63 | & ~ (all_28_106 = e21)) | ( ~ (all_28_97 = e20) & ~ (all_28_100 % 48.39/7.63 | = e20) & ~ (all_28_103 = e20) & ~ (all_28_106 = e20))) & ( ~ % 48.39/7.63 | (all_28_108 = all_28_109) | ~ (all_28_111 = all_28_112) | ~ % 48.39/7.63 | (all_28_114 = all_28_115) | ~ (all_28_117 = all_28_118) | ~ % 48.39/7.63 | (all_28_120 = all_28_121) | ~ (all_28_123 = all_28_124) | ~ % 48.39/7.63 | (all_28_126 = all_28_127) | ~ (all_28_129 = all_28_130) | ~ % 48.39/7.63 | (all_28_132 = all_28_133) | ~ (all_28_135 = all_28_136) | ~ % 48.39/7.63 | (all_28_138 = all_28_139) | ~ (all_28_141 = all_28_142) | ~ % 48.39/7.63 | (all_28_144 = all_28_146) | ~ (all_28_148 = all_28_150) | ~ % 48.39/7.63 | (all_28_152 = all_28_154) | ~ (all_28_156 = all_28_158) | ( ~ % 48.39/7.63 | (all_28_145 = e23) & ~ (all_28_149 = e23) & ~ (all_28_153 = % 48.39/7.63 | e23) & ~ (all_28_157 = e23)) | ( ~ (all_28_145 = e22) & ~ % 48.39/7.63 | (all_28_149 = e22) & ~ (all_28_153 = e22) & ~ (all_28_157 = % 48.39/7.63 | e22)) | ( ~ (all_28_145 = e21) & ~ (all_28_149 = e21) & ~ % 48.39/7.63 | (all_28_153 = e21) & ~ (all_28_157 = e21)) | ( ~ (all_28_145 = % 48.39/7.63 | e20) & ~ (all_28_149 = e20) & ~ (all_28_153 = e20) & ~ % 48.39/7.63 | (all_28_157 = e20))) % 48.39/7.63 | % 48.39/7.63 | ALPHA: (354) implies: % 48.39/7.63 | (355) op1(e10, e10) = all_28_159 % 48.39/7.63 | (356) op1(e10, e11) = all_28_155 % 48.39/7.63 | (357) op1(e10, e12) = all_28_151 % 48.39/7.63 | (358) op1(e10, e13) = all_28_147 % 48.39/7.64 | (359) op1(e11, e10) = all_28_143 % 48.39/7.64 | (360) op1(e11, e11) = all_28_140 % 48.39/7.64 | (361) op1(e11, e12) = all_28_137 % 48.39/7.64 | (362) op1(e11, e13) = all_28_134 % 48.39/7.64 | (363) op1(e12, e10) = all_28_131 % 48.39/7.64 | (364) op1(e12, e11) = all_28_128 % 48.39/7.64 | (365) op1(e12, e12) = all_28_125 % 48.39/7.64 | (366) op1(e12, e13) = all_28_122 % 48.39/7.64 | (367) op1(e13, e10) = all_28_119 % 48.39/7.64 | (368) op1(e13, e11) = all_28_116 % 48.39/7.64 | (369) op1(e13, e12) = all_28_113 % 48.39/7.64 | (370) op1(e13, e13) = all_28_110 % 48.39/7.64 | (371) op2(all_28_145, all_28_149) = all_28_111 % 48.39/7.64 | (372) op2(all_28_145, all_28_145) = all_28_108 % 48.39/7.64 | (373) op2(all_28_97, all_28_100) = all_28_74 % 48.39/7.64 | (374) op2(all_28_97, all_28_97) = all_28_72 % 48.39/7.64 | (375) op2(all_28_61, all_28_64) = all_28_38 % 48.39/7.64 | (376) op2(all_28_61, all_28_61) = all_28_36 % 48.39/7.64 | (377) op2(all_28_34, all_28_34) = all_28_33 % 48.39/7.64 | (378) op2(all_28_34, all_28_31) = all_28_30 % 48.39/7.64 | (379) op2(all_28_34, all_28_28) = all_28_27 % 48.39/7.64 | (380) op2(all_28_34, all_28_25) = all_28_24 % 48.39/7.64 | (381) op2(all_28_31, all_28_34) = all_28_22 % 48.39/7.64 | (382) op2(all_28_31, all_28_31) = all_28_20 % 48.39/7.64 | (383) op2(all_28_31, all_28_28) = all_28_18 % 48.39/7.64 | (384) op2(all_28_31, all_28_25) = all_28_16 % 48.39/7.64 | (385) op2(all_28_28, all_28_34) = all_28_14 % 48.39/7.64 | (386) op2(all_28_28, all_28_31) = all_28_12 % 48.39/7.64 | (387) op2(all_28_28, all_28_28) = all_28_10 % 48.39/7.64 | (388) op2(all_28_28, all_28_25) = all_28_8 % 48.39/7.64 | (389) op2(all_28_25, all_28_34) = all_28_6 % 48.39/7.64 | (390) op2(all_28_25, all_28_31) = all_28_4 % 48.39/7.64 | (391) op2(all_28_25, all_28_28) = all_28_2 % 48.39/7.64 | (392) op2(all_28_25, all_28_25) = all_28_0 % 48.39/7.64 | (393) h1(e12) = all_28_149 % 48.39/7.64 | (394) h1(e13) = all_28_145 % 48.39/7.64 | (395) h2(e12) = all_28_100 % 48.39/7.64 | (396) h2(e13) = all_28_97 % 48.39/7.64 | (397) h3(e12) = all_28_64 % 48.39/7.64 | (398) h3(e13) = all_28_61 % 48.39/7.64 | (399) h4(e10) = all_28_34 % 48.39/7.64 | (400) h4(e11) = all_28_31 % 48.39/7.64 | (401) h4(e12) = all_28_28 % 48.39/7.64 | (402) h4(e13) = all_28_25 % 48.39/7.64 | (403) h4(all_28_159) = all_28_35 % 48.39/7.64 | (404) h4(all_28_155) = all_28_32 % 48.39/7.64 | (405) h4(all_28_151) = all_28_29 % 48.39/7.64 | (406) h4(all_28_147) = all_28_26 % 48.39/7.64 | (407) h4(all_28_143) = all_28_23 % 48.39/7.64 | (408) h4(all_28_140) = all_28_21 % 48.39/7.64 | (409) h4(all_28_137) = all_28_19 % 48.39/7.64 | (410) h4(all_28_134) = all_28_17 % 48.39/7.64 | (411) h4(all_28_131) = all_28_15 % 48.39/7.64 | (412) h4(all_28_128) = all_28_13 % 48.39/7.64 | (413) h4(all_28_125) = all_28_11 % 48.39/7.64 | (414) h4(all_28_122) = all_28_9 % 48.39/7.64 | (415) h4(all_28_119) = all_28_7 % 48.39/7.64 | (416) h4(all_28_116) = all_28_5 % 48.39/7.64 | (417) h4(all_28_113) = all_28_3 % 48.39/7.64 | (418) h4(all_28_110) = all_28_1 % 48.39/7.64 | (419) ~ (all_28_0 = all_28_1) | ~ (all_28_2 = all_28_3) | ~ (all_28_4 = % 48.39/7.64 | all_28_5) | ~ (all_28_6 = all_28_7) | ~ (all_28_8 = all_28_9) | % 48.39/7.64 | ~ (all_28_10 = all_28_11) | ~ (all_28_12 = all_28_13) | ~ % 48.39/7.64 | (all_28_14 = all_28_15) | ~ (all_28_16 = all_28_17) | ~ (all_28_18 % 48.39/7.64 | = all_28_19) | ~ (all_28_20 = all_28_21) | ~ (all_28_22 = % 48.39/7.64 | all_28_23) | ~ (all_28_24 = all_28_26) | ~ (all_28_27 = % 48.39/7.64 | all_28_29) | ~ (all_28_30 = all_28_32) | ~ (all_28_33 = % 48.39/7.64 | all_28_35) | ( ~ (all_28_25 = e23) & ~ (all_28_28 = e23) & ~ % 48.39/7.64 | (all_28_31 = e23) & ~ (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & % 48.39/7.64 | ~ (all_28_28 = e22) & ~ (all_28_31 = e22) & ~ (all_28_34 = e22)) % 48.39/7.64 | | ( ~ (all_28_25 = e21) & ~ (all_28_28 = e21) & ~ (all_28_31 = e21) % 48.39/7.64 | & ~ (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~ (all_28_28 = % 48.39/7.64 | e20) & ~ (all_28_31 = e20) & ~ (all_28_34 = e20)) % 48.39/7.64 | % 48.39/7.64 | GROUND_INST: instantiating (31) with all_16_15, all_26_31, e10, e10, % 48.39/7.64 | simplifying with (175), (322) gives: % 48.39/7.64 | (420) all_26_31 = all_16_15 % 48.39/7.64 | % 48.39/7.64 | GROUND_INST: instantiating (31) with all_12_15, all_26_31, e10, e10, % 48.39/7.64 | simplifying with (99), (322) gives: % 48.39/7.64 | (421) all_26_31 = all_12_15 % 48.39/7.64 | % 48.39/7.64 | GROUND_INST: instantiating (31) with all_26_31, all_28_159, e10, e10, % 48.39/7.64 | simplifying with (322), (355) gives: % 48.39/7.64 | (422) all_28_159 = all_26_31 % 48.39/7.64 | % 48.39/7.64 | GROUND_INST: instantiating (31) with all_22_15, all_28_159, e10, e10, % 48.39/7.64 | simplifying with (258), (355) gives: % 48.39/7.64 | (423) all_28_159 = all_22_15 % 48.39/7.64 | % 48.39/7.64 | GROUND_INST: instantiating (31) with all_22_14, all_26_27, e11, e10, % 48.39/7.64 | simplifying with (259), (323) gives: % 48.39/7.64 | (424) all_26_27 = all_22_14 % 48.39/7.64 | % 48.39/7.64 | GROUND_INST: instantiating (31) with all_16_14, all_26_27, e11, e10, % 48.39/7.64 | simplifying with (176), (323) gives: % 48.39/7.64 | (425) all_26_27 = all_16_14 % 48.39/7.64 | % 48.39/7.64 | GROUND_INST: instantiating (31) with all_26_27, all_28_155, e11, e10, % 48.39/7.64 | simplifying with (323), (356) gives: % 48.39/7.64 | (426) all_28_155 = all_26_27 % 48.39/7.64 | % 48.39/7.64 | GROUND_INST: instantiating (31) with all_12_11, all_28_155, e11, e10, % 48.39/7.64 | simplifying with (100), (356) gives: % 48.39/7.64 | (427) all_28_155 = all_12_11 % 48.39/7.64 | % 48.39/7.64 | GROUND_INST: instantiating (31) with all_16_13, all_26_23, e12, e10, % 48.39/7.64 | simplifying with (177), (324) gives: % 48.39/7.64 | (428) all_26_23 = all_16_13 % 48.39/7.64 | % 48.39/7.64 | GROUND_INST: instantiating (31) with all_12_7, all_26_23, e12, e10, % 48.39/7.64 | simplifying with (101), (324) gives: % 48.39/7.64 | (429) all_26_23 = all_12_7 % 48.39/7.64 | % 48.39/7.64 | GROUND_INST: instantiating (31) with all_26_23, all_28_151, e12, e10, % 48.39/7.64 | simplifying with (324), (357) gives: % 48.39/7.64 | (430) all_28_151 = all_26_23 % 48.39/7.64 | % 48.39/7.64 | GROUND_INST: instantiating (31) with all_22_13, all_28_151, e12, e10, % 48.39/7.64 | simplifying with (260), (357) gives: % 48.39/7.64 | (431) all_28_151 = all_22_13 % 48.39/7.64 | % 48.39/7.64 | GROUND_INST: instantiating (31) with all_16_12, all_22_12, e13, e10, % 48.39/7.64 | simplifying with (178), (261) gives: % 48.39/7.64 | (432) all_22_12 = all_16_12 % 48.39/7.64 | % 48.39/7.64 | GROUND_INST: instantiating (31) with all_22_12, all_26_19, e13, e10, % 48.39/7.64 | simplifying with (261), (325) gives: % 48.39/7.64 | (433) all_26_19 = all_22_12 % 48.39/7.64 | % 48.39/7.65 | GROUND_INST: instantiating (31) with all_26_19, all_28_147, e13, e10, % 48.39/7.65 | simplifying with (325), (358) gives: % 48.39/7.65 | (434) all_28_147 = all_26_19 % 48.39/7.65 | % 48.39/7.65 | GROUND_INST: instantiating (31) with all_12_3, all_28_147, e13, e10, % 48.39/7.65 | simplifying with (102), (358) gives: % 48.39/7.65 | (435) all_28_147 = all_12_3 % 48.39/7.65 | % 48.39/7.65 | GROUND_INST: instantiating (31) with all_16_11, all_22_11, e10, e11, % 48.39/7.65 | simplifying with (179), (262) gives: % 48.39/7.65 | (436) all_22_11 = all_16_11 % 48.39/7.65 | % 48.39/7.65 | GROUND_INST: instantiating (31) with all_26_30, all_28_143, e10, e11, % 48.39/7.65 | simplifying with (330), (359) gives: % 48.39/7.65 | (437) all_28_143 = all_26_30 % 48.39/7.65 | % 48.39/7.65 | GROUND_INST: instantiating (31) with all_22_11, all_28_143, e10, e11, % 48.39/7.65 | simplifying with (262), (359) gives: % 48.39/7.65 | (438) all_28_143 = all_22_11 % 48.39/7.65 | % 48.39/7.65 | GROUND_INST: instantiating (31) with all_12_14, all_28_143, e10, e11, % 48.39/7.65 | simplifying with (103), (359) gives: % 48.39/7.65 | (439) all_28_143 = all_12_14 % 48.39/7.65 | % 48.39/7.65 | GROUND_INST: instantiating (31) with all_12_10, all_22_8, e11, e11, % 48.39/7.65 | simplifying with (104), (263) gives: % 48.39/7.65 | (440) all_22_8 = all_12_10 % 48.39/7.65 | % 48.39/7.65 | GROUND_INST: instantiating (31) with all_26_26, all_28_140, e11, e11, % 48.39/7.65 | simplifying with (331), (360) gives: % 48.39/7.65 | (441) all_28_140 = all_26_26 % 48.39/7.65 | % 48.39/7.65 | GROUND_INST: instantiating (31) with all_22_8, all_28_140, e11, e11, % 48.39/7.65 | simplifying with (263), (360) gives: % 48.39/7.65 | (442) all_28_140 = all_22_8 % 48.39/7.65 | % 48.39/7.65 | GROUND_INST: instantiating (31) with all_16_10, all_28_140, e11, e11, % 48.39/7.65 | simplifying with (180), (360) gives: % 48.39/7.65 | (443) all_28_140 = all_16_10 % 48.39/7.65 | % 48.39/7.65 | GROUND_INST: instantiating (31) with all_12_6, all_26_22, e12, e11, % 48.39/7.65 | simplifying with (105), (332) gives: % 48.39/7.65 | (444) all_26_22 = all_12_6 % 48.39/7.65 | % 48.39/7.65 | GROUND_INST: instantiating (31) with all_26_22, all_28_137, e12, e11, % 48.39/7.65 | simplifying with (332), (361) gives: % 48.39/7.65 | (445) all_28_137 = all_26_22 % 48.39/7.65 | % 48.39/7.65 | GROUND_INST: instantiating (31) with all_22_7, all_28_137, e12, e11, % 48.39/7.65 | simplifying with (264), (361) gives: % 48.39/7.65 | (446) all_28_137 = all_22_7 % 48.39/7.65 | % 48.39/7.65 | GROUND_INST: instantiating (31) with all_16_9, all_28_137, e12, e11, % 48.39/7.65 | simplifying with (181), (361) gives: % 48.39/7.65 | (447) all_28_137 = all_16_9 % 48.39/7.65 | % 48.39/7.65 | GROUND_INST: instantiating (31) with all_16_8, all_22_6, e13, e11, simplifying % 48.39/7.65 | with (182), (265) gives: % 48.39/7.65 | (448) all_22_6 = all_16_8 % 48.39/7.65 | % 48.39/7.65 | GROUND_INST: instantiating (31) with all_22_6, all_26_18, e13, e11, % 48.39/7.65 | simplifying with (265), (333) gives: % 48.39/7.65 | (449) all_26_18 = all_22_6 % 48.39/7.65 | % 48.39/7.65 | GROUND_INST: instantiating (31) with all_26_18, all_28_134, e13, e11, % 48.39/7.65 | simplifying with (333), (362) gives: % 48.39/7.65 | (450) all_28_134 = all_26_18 % 48.39/7.65 | % 48.39/7.65 | GROUND_INST: instantiating (31) with all_12_2, all_28_134, e13, e11, % 48.39/7.65 | simplifying with (106), (362) gives: % 48.39/7.65 | (451) all_28_134 = all_12_2 % 48.39/7.65 | % 48.39/7.65 | GROUND_INST: instantiating (31) with all_22_10, all_26_29, e10, e12, % 48.39/7.65 | simplifying with (266), (338) gives: % 48.39/7.65 | (452) all_26_29 = all_22_10 % 48.39/7.65 | % 48.39/7.65 | GROUND_INST: instantiating (31) with all_16_7, all_26_29, e10, e12, % 48.39/7.65 | simplifying with (183), (338) gives: % 48.39/7.65 | (453) all_26_29 = all_16_7 % 48.39/7.65 | % 48.39/7.65 | GROUND_INST: instantiating (31) with all_26_29, all_28_131, e10, e12, % 48.39/7.65 | simplifying with (338), (363) gives: % 48.39/7.65 | (454) all_28_131 = all_26_29 % 48.39/7.65 | % 48.39/7.65 | GROUND_INST: instantiating (31) with all_12_13, all_28_131, e10, e12, % 48.39/7.65 | simplifying with (107), (363) gives: % 48.39/7.65 | (455) all_28_131 = all_12_13 % 48.39/7.65 | % 48.39/7.65 | GROUND_INST: instantiating (31) with all_16_6, all_22_5, e11, e12, simplifying % 48.39/7.65 | with (184), (267) gives: % 48.39/7.65 | (456) all_22_5 = all_16_6 % 48.39/7.65 | % 48.39/7.65 | GROUND_INST: instantiating (31) with all_16_6, all_26_25, e11, e12, % 48.39/7.65 | simplifying with (184), (339) gives: % 48.39/7.65 | (457) all_26_25 = all_16_6 % 48.39/7.65 | % 48.39/7.65 | GROUND_INST: instantiating (31) with e10, all_26_25, e11, e12, simplifying % 48.39/7.65 | with (16), (339) gives: % 48.39/7.65 | (458) all_26_25 = e10 % 48.39/7.65 | % 48.39/7.65 | GROUND_INST: instantiating (31) with all_22_5, all_28_128, e11, e12, % 48.39/7.65 | simplifying with (267), (364) gives: % 48.39/7.65 | (459) all_28_128 = all_22_5 % 48.39/7.65 | % 48.39/7.65 | GROUND_INST: instantiating (31) with all_12_9, all_28_128, e11, e12, % 48.39/7.65 | simplifying with (108), (364) gives: % 48.39/7.65 | (460) all_28_128 = all_12_9 % 48.39/7.65 | % 48.39/7.65 | GROUND_INST: instantiating (31) with all_12_5, all_22_3, e12, e12, simplifying % 48.39/7.65 | with (109), (268) gives: % 48.39/7.65 | (461) all_22_3 = all_12_5 % 48.39/7.65 | % 48.39/7.65 | GROUND_INST: instantiating (31) with all_26_21, all_28_125, e12, e12, % 48.39/7.65 | simplifying with (340), (365) gives: % 48.39/7.65 | (462) all_28_125 = all_26_21 % 48.39/7.65 | % 48.39/7.65 | GROUND_INST: instantiating (31) with all_22_3, all_28_125, e12, e12, % 48.39/7.65 | simplifying with (268), (365) gives: % 48.39/7.65 | (463) all_28_125 = all_22_3 % 48.39/7.65 | % 48.39/7.65 | GROUND_INST: instantiating (31) with all_16_5, all_28_125, e12, e12, % 48.39/7.65 | simplifying with (185), (365) gives: % 48.39/7.65 | (464) all_28_125 = all_16_5 % 48.39/7.65 | % 48.39/7.65 | GROUND_INST: instantiating (31) with all_16_4, all_22_2, e13, e12, simplifying % 48.39/7.65 | with (186), (269) gives: % 48.39/7.65 | (465) all_22_2 = all_16_4 % 48.39/7.65 | % 48.39/7.65 | GROUND_INST: instantiating (31) with all_22_2, all_26_17, e13, e12, % 48.39/7.65 | simplifying with (269), (341) gives: % 48.39/7.65 | (466) all_26_17 = all_22_2 % 48.39/7.65 | % 48.39/7.65 | GROUND_INST: instantiating (31) with all_26_17, all_28_122, e13, e12, % 48.39/7.65 | simplifying with (341), (366) gives: % 48.39/7.65 | (467) all_28_122 = all_26_17 % 48.39/7.65 | % 48.39/7.65 | GROUND_INST: instantiating (31) with all_12_1, all_28_122, e13, e12, % 48.39/7.65 | simplifying with (110), (366) gives: % 48.39/7.65 | (468) all_28_122 = all_12_1 % 48.39/7.65 | % 48.39/7.65 | GROUND_INST: instantiating (31) with all_22_9, all_26_28, e10, e13, % 48.39/7.65 | simplifying with (270), (346) gives: % 48.39/7.65 | (469) all_26_28 = all_22_9 % 48.39/7.65 | % 48.39/7.65 | GROUND_INST: instantiating (31) with all_26_28, all_28_119, e10, e13, % 48.39/7.65 | simplifying with (346), (367) gives: % 48.39/7.65 | (470) all_28_119 = all_26_28 % 48.39/7.65 | % 48.39/7.65 | GROUND_INST: instantiating (31) with all_12_12, all_28_119, e10, e13, % 48.39/7.65 | simplifying with (111), (367) gives: % 48.39/7.65 | (471) all_28_119 = all_12_12 % 48.39/7.65 | % 48.39/7.65 | GROUND_INST: instantiating (31) with all_22_4, all_26_24, e11, e13, % 48.39/7.65 | simplifying with (271), (347) gives: % 48.39/7.65 | (472) all_26_24 = all_22_4 % 48.39/7.65 | % 48.39/7.65 | GROUND_INST: instantiating (31) with all_16_2, all_26_24, e11, e13, % 48.39/7.65 | simplifying with (187), (347) gives: % 48.39/7.65 | (473) all_26_24 = all_16_2 % 48.39/7.65 | % 48.39/7.65 | GROUND_INST: instantiating (31) with all_22_4, all_28_116, e11, e13, % 48.39/7.65 | simplifying with (271), (368) gives: % 48.39/7.65 | (474) all_28_116 = all_22_4 % 48.39/7.65 | % 48.39/7.65 | GROUND_INST: instantiating (31) with all_12_8, all_28_116, e11, e13, % 48.39/7.65 | simplifying with (112), (368) gives: % 48.39/7.65 | (475) all_28_116 = all_12_8 % 48.39/7.65 | % 48.39/7.65 | GROUND_INST: instantiating (31) with all_12_4, all_16_1, e12, e13, simplifying % 48.39/7.65 | with (113), (188) gives: % 48.39/7.65 | (476) all_16_1 = all_12_4 % 48.39/7.65 | % 48.39/7.65 | GROUND_INST: instantiating (31) with all_16_1, all_26_20, e12, e13, % 48.39/7.65 | simplifying with (188), (348) gives: % 48.39/7.65 | (477) all_26_20 = all_16_1 % 48.39/7.65 | % 48.39/7.65 | GROUND_INST: instantiating (31) with e11, all_26_20, e12, e13, simplifying % 48.39/7.65 | with (17), (348) gives: % 48.39/7.65 | (478) all_26_20 = e11 % 48.39/7.65 | % 48.39/7.65 | GROUND_INST: instantiating (31) with all_26_20, all_28_113, e12, e13, % 48.39/7.65 | simplifying with (348), (369) gives: % 48.39/7.65 | (479) all_28_113 = all_26_20 % 48.39/7.65 | % 48.39/7.65 | GROUND_INST: instantiating (31) with all_22_1, all_28_113, e12, e13, % 48.39/7.65 | simplifying with (272), (369) gives: % 48.39/7.65 | (480) all_28_113 = all_22_1 % 48.39/7.65 | % 48.39/7.65 | GROUND_INST: instantiating (31) with all_22_0, all_26_16, e13, e13, % 48.39/7.65 | simplifying with (273), (349) gives: % 48.39/7.65 | (481) all_26_16 = all_22_0 % 48.39/7.65 | % 48.39/7.65 | GROUND_INST: instantiating (31) with e12, all_26_16, e13, e13, simplifying % 48.39/7.65 | with (18), (349) gives: % 48.39/7.65 | (482) all_26_16 = e12 % 48.39/7.65 | % 48.39/7.65 | GROUND_INST: instantiating (31) with all_22_0, all_28_110, e13, e13, % 48.39/7.65 | simplifying with (273), (370) gives: % 48.39/7.65 | (483) all_28_110 = all_22_0 % 48.39/7.65 | % 48.39/7.65 | GROUND_INST: instantiating (31) with all_16_0, all_28_110, e13, e13, % 48.39/7.65 | simplifying with (189), (370) gives: % 48.39/7.65 | (484) all_28_110 = all_16_0 % 48.39/7.65 | % 48.39/7.65 | GROUND_INST: instantiating (31) with all_12_0, all_28_110, e13, e13, % 48.39/7.65 | simplifying with (114), (370) gives: % 48.39/7.65 | (485) all_28_110 = all_12_0 % 48.39/7.65 | % 48.39/7.66 | GROUND_INST: instantiating (32) with all_18_15, all_20_15, e20, e20, % 48.39/7.66 | simplifying with (202), (231) gives: % 48.39/7.66 | (486) all_20_15 = all_18_15 % 48.39/7.66 | % 48.39/7.66 | GROUND_INST: instantiating (32) with all_10_1, all_20_15, e20, e20, % 48.39/7.66 | simplifying with (52), (231) gives: % 48.39/7.66 | (487) all_20_15 = all_10_1 % 48.39/7.66 | % 48.39/7.66 | GROUND_INST: instantiating (32) with all_20_15, all_24_31, e20, e20, % 48.39/7.66 | simplifying with (231), (286) gives: % 48.39/7.66 | (488) all_24_31 = all_20_15 % 48.39/7.66 | % 48.39/7.66 | GROUND_INST: instantiating (32) with all_14_15, all_24_31, e20, e20, % 48.39/7.66 | simplifying with (158), (286) gives: % 48.39/7.66 | (489) all_24_31 = all_14_15 % 48.39/7.66 | % 48.39/7.66 | GROUND_INST: instantiating (32) with all_14_11, all_20_14, e21, e20, % 48.39/7.66 | simplifying with (159), (232) gives: % 48.39/7.66 | (490) all_20_14 = all_14_11 % 48.39/7.66 | % 48.39/7.66 | GROUND_INST: instantiating (32) with all_20_14, all_24_27, e21, e20, % 48.39/7.66 | simplifying with (232), (287) gives: % 48.39/7.66 | (491) all_24_27 = all_20_14 % 48.39/7.66 | % 48.39/7.66 | GROUND_INST: instantiating (32) with all_18_14, all_24_27, e21, e20, % 48.39/7.66 | simplifying with (203), (287) gives: % 48.39/7.66 | (492) all_24_27 = all_18_14 % 48.39/7.66 | % 48.39/7.66 | GROUND_INST: instantiating (32) with all_14_7, all_20_13, e22, e20, % 48.39/7.66 | simplifying with (160), (233) gives: % 48.39/7.66 | (493) all_20_13 = all_14_7 % 48.39/7.66 | % 48.39/7.66 | GROUND_INST: instantiating (32) with all_20_13, all_24_23, e22, e20, % 48.39/7.66 | simplifying with (233), (288) gives: % 48.39/7.66 | (494) all_24_23 = all_20_13 % 48.39/7.66 | % 48.39/7.66 | GROUND_INST: instantiating (32) with all_18_13, all_24_23, e22, e20, % 48.39/7.66 | simplifying with (204), (288) gives: % 48.39/7.66 | (495) all_24_23 = all_18_13 % 48.39/7.66 | % 48.39/7.66 | GROUND_INST: instantiating (32) with all_18_12, all_20_12, e23, e20, % 48.39/7.66 | simplifying with (205), (234) gives: % 48.39/7.66 | (496) all_20_12 = all_18_12 % 48.39/7.66 | % 48.39/7.66 | GROUND_INST: instantiating (32) with all_20_12, all_24_19, e23, e20, % 48.39/7.66 | simplifying with (234), (289) gives: % 48.39/7.66 | (497) all_24_19 = all_20_12 % 48.39/7.66 | % 48.39/7.66 | GROUND_INST: instantiating (32) with all_14_3, all_24_19, e23, e20, % 48.39/7.66 | simplifying with (161), (289) gives: % 48.39/7.66 | (498) all_24_19 = all_14_3 % 48.39/7.66 | % 48.39/7.66 | GROUND_INST: instantiating (32) with all_20_11, all_24_30, e20, e21, % 48.39/7.66 | simplifying with (235), (294) gives: % 48.39/7.66 | (499) all_24_30 = all_20_11 % 48.39/7.66 | % 48.39/7.66 | GROUND_INST: instantiating (32) with all_18_11, all_24_30, e20, e21, % 48.39/7.66 | simplifying with (206), (294) gives: % 48.39/7.66 | (500) all_24_30 = all_18_11 % 48.39/7.66 | % 48.39/7.66 | GROUND_INST: instantiating (32) with all_14_14, all_24_30, e20, e21, % 48.39/7.66 | simplifying with (162), (294) gives: % 48.39/7.66 | (501) all_24_30 = all_14_14 % 48.39/7.66 | % 48.39/7.66 | GROUND_INST: instantiating (32) with all_14_10, all_18_10, e21, e21, % 48.39/7.66 | simplifying with (163), (207) gives: % 48.39/7.66 | (502) all_18_10 = all_14_10 % 48.39/7.66 | % 48.39/7.66 | GROUND_INST: instantiating (32) with all_18_10, all_20_8, e21, e21, % 48.39/7.66 | simplifying with (207), (236) gives: % 48.39/7.66 | (503) all_20_8 = all_18_10 % 48.39/7.66 | % 48.39/7.66 | GROUND_INST: instantiating (32) with all_20_8, all_24_26, e21, e21, % 48.39/7.66 | simplifying with (236), (295) gives: % 48.39/7.66 | (504) all_24_26 = all_20_8 % 48.39/7.66 | % 48.39/7.66 | GROUND_INST: instantiating (32) with all_4_1, all_24_26, e21, e21, simplifying % 48.39/7.66 | with (34), (295) gives: % 48.39/7.66 | (505) all_24_26 = all_4_1 % 48.39/7.66 | % 48.39/7.66 | GROUND_INST: instantiating (32) with all_20_7, all_24_22, e22, e21, % 48.39/7.66 | simplifying with (237), (296) gives: % 48.39/7.66 | (506) all_24_22 = all_20_7 % 48.39/7.66 | % 48.39/7.66 | GROUND_INST: instantiating (32) with all_18_9, all_24_22, e22, e21, % 48.39/7.66 | simplifying with (208), (296) gives: % 48.39/7.66 | (507) all_24_22 = all_18_9 % 48.39/7.66 | % 48.39/7.66 | GROUND_INST: instantiating (32) with all_14_6, all_24_22, e22, e21, % 48.39/7.66 | simplifying with (164), (296) gives: % 48.39/7.66 | (508) all_24_22 = all_14_6 % 48.39/7.66 | % 48.39/7.66 | GROUND_INST: instantiating (32) with all_14_2, all_20_6, e23, e21, simplifying % 48.39/7.66 | with (165), (238) gives: % 48.39/7.66 | (509) all_20_6 = all_14_2 % 48.39/7.66 | % 48.39/7.66 | GROUND_INST: instantiating (32) with all_20_6, all_24_18, e23, e21, % 48.39/7.66 | simplifying with (238), (297) gives: % 48.39/7.66 | (510) all_24_18 = all_20_6 % 48.39/7.66 | % 48.39/7.66 | GROUND_INST: instantiating (32) with all_18_8, all_24_18, e23, e21, % 48.39/7.66 | simplifying with (209), (297) gives: % 48.39/7.66 | (511) all_24_18 = all_18_8 % 48.39/7.66 | % 48.39/7.66 | GROUND_INST: instantiating (32) with all_14_13, all_20_10, e20, e22, % 48.39/7.66 | simplifying with (166), (239) gives: % 48.39/7.66 | (512) all_20_10 = all_14_13 % 48.39/7.66 | % 48.39/7.66 | GROUND_INST: instantiating (32) with all_20_10, all_24_29, e20, e22, % 48.39/7.66 | simplifying with (239), (302) gives: % 48.39/7.66 | (513) all_24_29 = all_20_10 % 48.39/7.66 | % 48.39/7.66 | GROUND_INST: instantiating (32) with all_18_7, all_24_29, e20, e22, % 48.39/7.66 | simplifying with (210), (302) gives: % 48.39/7.66 | (514) all_24_29 = all_18_7 % 48.39/7.66 | % 48.39/7.66 | GROUND_INST: instantiating (32) with e20, all_18_6, e21, e22, simplifying with % 48.39/7.66 | (19), (211) gives: % 48.39/7.66 | (515) all_18_6 = e20 % 48.39/7.66 | % 48.39/7.66 | GROUND_INST: instantiating (32) with all_18_6, all_20_5, e21, e22, simplifying % 48.39/7.66 | with (211), (240) gives: % 48.39/7.66 | (516) all_20_5 = all_18_6 % 48.39/7.66 | % 48.39/7.66 | GROUND_INST: instantiating (32) with all_20_5, all_24_25, e21, e22, % 48.39/7.66 | simplifying with (240), (303) gives: % 48.39/7.66 | (517) all_24_25 = all_20_5 % 48.39/7.66 | % 48.39/7.66 | GROUND_INST: instantiating (32) with all_14_9, all_24_25, e21, e22, % 48.39/7.66 | simplifying with (167), (303) gives: % 48.39/7.66 | (518) all_24_25 = all_14_9 % 48.39/7.66 | % 48.39/7.66 | GROUND_INST: instantiating (32) with all_18_5, all_20_3, e22, e22, simplifying % 48.39/7.66 | with (212), (241) gives: % 48.39/7.66 | (519) all_20_3 = all_18_5 % 48.39/7.66 | % 48.39/7.66 | GROUND_INST: instantiating (32) with all_6_1, all_20_3, e22, e22, simplifying % 48.39/7.66 | with (39), (241) gives: % 48.39/7.66 | (520) all_20_3 = all_6_1 % 48.39/7.66 | % 48.39/7.66 | GROUND_INST: instantiating (32) with all_20_3, all_24_21, e22, e22, % 48.39/7.66 | simplifying with (241), (304) gives: % 48.39/7.66 | (521) all_24_21 = all_20_3 % 48.39/7.66 | % 48.39/7.66 | GROUND_INST: instantiating (32) with all_14_5, all_24_21, e22, e22, % 48.39/7.66 | simplifying with (168), (304) gives: % 48.39/7.66 | (522) all_24_21 = all_14_5 % 48.39/7.66 | % 48.39/7.66 | GROUND_INST: instantiating (32) with all_14_1, all_20_2, e23, e22, simplifying % 48.39/7.66 | with (169), (242) gives: % 48.39/7.66 | (523) all_20_2 = all_14_1 % 48.39/7.66 | % 48.39/7.66 | GROUND_INST: instantiating (32) with all_20_2, all_24_17, e23, e22, % 48.39/7.66 | simplifying with (242), (305) gives: % 48.39/7.66 | (524) all_24_17 = all_20_2 % 48.39/7.66 | % 48.39/7.66 | GROUND_INST: instantiating (32) with all_18_4, all_24_17, e23, e22, % 48.39/7.66 | simplifying with (213), (305) gives: % 48.39/7.66 | (525) all_24_17 = all_18_4 % 48.39/7.66 | % 48.39/7.66 | GROUND_INST: instantiating (32) with all_14_12, all_20_9, e20, e23, % 48.39/7.66 | simplifying with (170), (243) gives: % 48.39/7.66 | (526) all_20_9 = all_14_12 % 48.39/7.66 | % 48.39/7.66 | GROUND_INST: instantiating (32) with all_20_9, all_24_28, e20, e23, % 48.39/7.66 | simplifying with (243), (310) gives: % 48.39/7.66 | (527) all_24_28 = all_20_9 % 48.39/7.66 | % 48.39/7.66 | GROUND_INST: instantiating (32) with all_18_3, all_24_28, e20, e23, % 48.39/7.66 | simplifying with (214), (310) gives: % 48.39/7.66 | (528) all_24_28 = all_18_3 % 48.39/7.66 | % 48.39/7.66 | GROUND_INST: instantiating (32) with all_14_8, all_20_4, e21, e23, simplifying % 48.39/7.66 | with (171), (244) gives: % 48.39/7.66 | (529) all_20_4 = all_14_8 % 48.39/7.66 | % 48.39/7.66 | GROUND_INST: instantiating (32) with all_20_4, all_24_24, e21, e23, % 48.39/7.66 | simplifying with (244), (311) gives: % 48.39/7.66 | (530) all_24_24 = all_20_4 % 48.39/7.66 | % 48.39/7.66 | GROUND_INST: instantiating (32) with all_18_2, all_24_24, e21, e23, % 48.39/7.66 | simplifying with (215), (311) gives: % 48.39/7.66 | (531) all_24_24 = all_18_2 % 48.39/7.66 | % 48.39/7.66 | GROUND_INST: instantiating (32) with e21, all_18_1, e22, e23, simplifying with % 48.39/7.66 | (20), (216) gives: % 48.39/7.66 | (532) all_18_1 = e21 % 48.39/7.66 | % 48.39/7.66 | GROUND_INST: instantiating (32) with all_18_1, all_20_1, e22, e23, simplifying % 48.39/7.66 | with (216), (245) gives: % 48.39/7.66 | (533) all_20_1 = all_18_1 % 48.39/7.66 | % 48.39/7.66 | GROUND_INST: instantiating (32) with all_20_1, all_24_20, e22, e23, % 48.39/7.66 | simplifying with (245), (312) gives: % 48.39/7.66 | (534) all_24_20 = all_20_1 % 48.39/7.66 | % 48.39/7.66 | GROUND_INST: instantiating (32) with all_14_4, all_24_20, e22, e23, % 48.39/7.66 | simplifying with (172), (312) gives: % 48.39/7.66 | (535) all_24_20 = all_14_4 % 48.39/7.66 | % 48.39/7.66 | GROUND_INST: instantiating (32) with all_8_1, all_14_0, e23, e23, simplifying % 48.39/7.66 | with (44), (173) gives: % 48.39/7.66 | (536) all_14_0 = all_8_1 % 48.39/7.66 | % 48.39/7.66 | GROUND_INST: instantiating (32) with all_14_0, all_18_0, e23, e23, simplifying % 48.39/7.66 | with (173), (217) gives: % 48.39/7.66 | (537) all_18_0 = all_14_0 % 48.39/7.66 | % 48.39/7.66 | GROUND_INST: instantiating (32) with all_18_0, all_20_0, e23, e23, simplifying % 48.39/7.66 | with (217), (246) gives: % 48.39/7.66 | (538) all_20_0 = all_18_0 % 48.39/7.66 | % 48.39/7.66 | GROUND_INST: instantiating (32) with all_20_0, all_24_16, e23, e23, % 48.39/7.66 | simplifying with (246), (313) gives: % 48.39/7.66 | (539) all_24_16 = all_20_0 % 48.39/7.66 | % 48.39/7.66 | GROUND_INST: instantiating (32) with e22, all_24_16, e23, e23, simplifying % 48.39/7.66 | with (21), (313) gives: % 48.39/7.66 | (540) all_24_16 = e22 % 48.39/7.66 | % 48.39/7.66 | GROUND_INST: instantiating (27) with all_10_1, all_28_149, e12, simplifying % 48.39/7.66 | with (54), (393) gives: % 48.39/7.67 | (541) all_28_149 = all_10_1 % 48.39/7.67 | % 48.39/7.67 | GROUND_INST: instantiating (27) with e20, all_28_145, e13, simplifying with % 48.39/7.67 | (55), (394) gives: % 48.39/7.67 | (542) all_28_145 = e20 % 48.39/7.67 | % 48.39/7.67 | GROUND_INST: instantiating (28) with all_4_1, all_28_100, e12, simplifying % 48.39/7.67 | with (36), (395) gives: % 48.39/7.67 | (543) all_28_100 = all_4_1 % 48.39/7.67 | % 48.39/7.67 | GROUND_INST: instantiating (28) with e21, all_28_97, e13, simplifying with % 48.39/7.67 | (37), (396) gives: % 48.39/7.67 | (544) all_28_97 = e21 % 48.39/7.67 | % 48.39/7.67 | GROUND_INST: instantiating (29) with all_6_1, all_28_64, e12, simplifying with % 48.39/7.67 | (41), (397) gives: % 48.39/7.67 | (545) all_28_64 = all_6_1 % 48.39/7.67 | % 48.39/7.67 | GROUND_INST: instantiating (29) with e22, all_28_61, e13, simplifying with % 48.39/7.67 | (42), (398) gives: % 48.39/7.67 | (546) all_28_61 = e22 % 48.39/7.67 | % 48.39/7.67 | GROUND_INST: instantiating (30) with all_8_2, all_28_34, e10, simplifying with % 48.39/7.67 | (47), (399) gives: % 48.39/7.67 | (547) all_28_34 = all_8_2 % 48.39/7.67 | % 48.39/7.67 | GROUND_INST: instantiating (30) with all_8_0, all_28_31, e11, simplifying with % 48.39/7.67 | (48), (400) gives: % 48.39/7.67 | (548) all_28_31 = all_8_0 % 48.39/7.67 | % 48.39/7.67 | GROUND_INST: instantiating (30) with all_8_1, all_28_28, e12, simplifying with % 48.39/7.67 | (49), (401) gives: % 48.39/7.67 | (549) all_28_28 = all_8_1 % 48.39/7.67 | % 48.39/7.67 | GROUND_INST: instantiating (30) with e23, all_28_25, e13, simplifying with % 48.39/7.67 | (50), (402) gives: % 48.39/7.67 | (550) all_28_25 = e23 % 48.39/7.67 | % 48.39/7.67 | COMBINE_EQS: (483), (484) imply: % 48.39/7.67 | (551) all_22_0 = all_16_0 % 48.39/7.67 | % 48.39/7.67 | SIMP: (551) implies: % 48.39/7.67 | (552) all_22_0 = all_16_0 % 48.39/7.67 | % 48.39/7.67 | COMBINE_EQS: (484), (485) imply: % 48.39/7.67 | (553) all_16_0 = all_12_0 % 48.39/7.67 | % 48.39/7.67 | COMBINE_EQS: (479), (480) imply: % 48.39/7.67 | (554) all_26_20 = all_22_1 % 48.39/7.67 | % 48.39/7.67 | SIMP: (554) implies: % 48.39/7.67 | (555) all_26_20 = all_22_1 % 48.39/7.67 | % 49.11/7.67 | COMBINE_EQS: (474), (475) imply: % 49.11/7.67 | (556) all_22_4 = all_12_8 % 49.11/7.67 | % 49.11/7.67 | SIMP: (556) implies: % 49.11/7.67 | (557) all_22_4 = all_12_8 % 49.11/7.67 | % 49.11/7.67 | COMBINE_EQS: (470), (471) imply: % 49.11/7.67 | (558) all_26_28 = all_12_12 % 49.11/7.67 | % 49.11/7.67 | SIMP: (558) implies: % 49.11/7.67 | (559) all_26_28 = all_12_12 % 49.11/7.67 | % 49.11/7.67 | COMBINE_EQS: (467), (468) imply: % 49.11/7.67 | (560) all_26_17 = all_12_1 % 49.11/7.67 | % 49.11/7.67 | SIMP: (560) implies: % 49.11/7.67 | (561) all_26_17 = all_12_1 % 49.11/7.67 | % 49.11/7.67 | COMBINE_EQS: (462), (464) imply: % 49.11/7.67 | (562) all_26_21 = all_16_5 % 49.11/7.67 | % 49.11/7.67 | COMBINE_EQS: (462), (463) imply: % 49.11/7.67 | (563) all_26_21 = all_22_3 % 49.11/7.67 | % 49.11/7.67 | COMBINE_EQS: (459), (460) imply: % 49.11/7.67 | (564) all_22_5 = all_12_9 % 49.11/7.67 | % 49.11/7.67 | SIMP: (564) implies: % 49.11/7.67 | (565) all_22_5 = all_12_9 % 49.11/7.67 | % 49.11/7.67 | COMBINE_EQS: (454), (455) imply: % 49.11/7.67 | (566) all_26_29 = all_12_13 % 49.11/7.67 | % 49.11/7.67 | SIMP: (566) implies: % 49.11/7.67 | (567) all_26_29 = all_12_13 % 49.11/7.67 | % 49.11/7.67 | COMBINE_EQS: (450), (451) imply: % 49.11/7.67 | (568) all_26_18 = all_12_2 % 49.11/7.67 | % 49.11/7.67 | SIMP: (568) implies: % 49.11/7.67 | (569) all_26_18 = all_12_2 % 49.11/7.67 | % 49.11/7.67 | COMBINE_EQS: (445), (446) imply: % 49.11/7.67 | (570) all_26_22 = all_22_7 % 49.11/7.67 | % 49.11/7.67 | SIMP: (570) implies: % 49.11/7.67 | (571) all_26_22 = all_22_7 % 49.11/7.67 | % 49.11/7.67 | COMBINE_EQS: (446), (447) imply: % 49.11/7.67 | (572) all_22_7 = all_16_9 % 49.11/7.67 | % 49.11/7.67 | COMBINE_EQS: (441), (443) imply: % 49.11/7.67 | (573) all_26_26 = all_16_10 % 49.11/7.67 | % 49.11/7.67 | COMBINE_EQS: (441), (442) imply: % 49.11/7.67 | (574) all_26_26 = all_22_8 % 49.11/7.67 | % 49.11/7.67 | COMBINE_EQS: (437), (439) imply: % 49.11/7.67 | (575) all_26_30 = all_12_14 % 49.11/7.67 | % 49.11/7.67 | COMBINE_EQS: (437), (438) imply: % 49.11/7.67 | (576) all_26_30 = all_22_11 % 49.11/7.67 | % 49.11/7.67 | COMBINE_EQS: (434), (435) imply: % 49.11/7.67 | (577) all_26_19 = all_12_3 % 49.11/7.67 | % 49.11/7.67 | SIMP: (577) implies: % 49.11/7.67 | (578) all_26_19 = all_12_3 % 49.11/7.67 | % 49.11/7.67 | COMBINE_EQS: (430), (431) imply: % 49.11/7.67 | (579) all_26_23 = all_22_13 % 49.11/7.67 | % 49.11/7.67 | SIMP: (579) implies: % 49.11/7.67 | (580) all_26_23 = all_22_13 % 49.11/7.67 | % 49.11/7.67 | COMBINE_EQS: (426), (427) imply: % 49.11/7.67 | (581) all_26_27 = all_12_11 % 49.11/7.67 | % 49.11/7.67 | SIMP: (581) implies: % 49.11/7.67 | (582) all_26_27 = all_12_11 % 49.11/7.67 | % 49.11/7.67 | COMBINE_EQS: (422), (423) imply: % 49.11/7.67 | (583) all_26_31 = all_22_15 % 49.11/7.67 | % 49.11/7.67 | SIMP: (583) implies: % 49.11/7.67 | (584) all_26_31 = all_22_15 % 49.11/7.67 | % 49.11/7.67 | COMBINE_EQS: (481), (482) imply: % 49.11/7.67 | (585) all_22_0 = e12 % 49.11/7.67 | % 49.11/7.67 | SIMP: (585) implies: % 49.11/7.67 | (586) all_22_0 = e12 % 49.11/7.67 | % 49.11/7.67 | COMBINE_EQS: (466), (561) imply: % 49.11/7.67 | (587) all_22_2 = all_12_1 % 49.11/7.67 | % 49.11/7.67 | SIMP: (587) implies: % 49.11/7.67 | (588) all_22_2 = all_12_1 % 49.11/7.67 | % 49.11/7.67 | COMBINE_EQS: (449), (569) imply: % 49.11/7.67 | (589) all_22_6 = all_12_2 % 49.11/7.67 | % 49.11/7.67 | SIMP: (589) implies: % 49.11/7.67 | (590) all_22_6 = all_12_2 % 49.11/7.67 | % 49.11/7.67 | COMBINE_EQS: (433), (578) imply: % 49.11/7.67 | (591) all_22_12 = all_12_3 % 49.11/7.67 | % 49.11/7.67 | SIMP: (591) implies: % 49.11/7.67 | (592) all_22_12 = all_12_3 % 49.11/7.67 | % 49.11/7.67 | COMBINE_EQS: (478), (555) imply: % 49.11/7.67 | (593) all_22_1 = e11 % 49.11/7.67 | % 49.11/7.67 | COMBINE_EQS: (477), (555) imply: % 49.11/7.67 | (594) all_22_1 = all_16_1 % 49.11/7.67 | % 49.11/7.67 | COMBINE_EQS: (562), (563) imply: % 49.11/7.67 | (595) all_22_3 = all_16_5 % 49.11/7.67 | % 49.11/7.67 | SIMP: (595) implies: % 49.11/7.67 | (596) all_22_3 = all_16_5 % 49.11/7.67 | % 49.11/7.67 | COMBINE_EQS: (444), (571) imply: % 49.11/7.67 | (597) all_22_7 = all_12_6 % 49.11/7.67 | % 49.11/7.67 | SIMP: (597) implies: % 49.11/7.67 | (598) all_22_7 = all_12_6 % 49.11/7.67 | % 49.11/7.67 | COMBINE_EQS: (429), (580) imply: % 49.11/7.67 | (599) all_22_13 = all_12_7 % 49.11/7.67 | % 49.11/7.67 | COMBINE_EQS: (428), (580) imply: % 49.11/7.67 | (600) all_22_13 = all_16_13 % 49.11/7.67 | % 49.11/7.67 | COMBINE_EQS: (472), (473) imply: % 49.11/7.67 | (601) all_22_4 = all_16_2 % 49.11/7.67 | % 49.11/7.67 | SIMP: (601) implies: % 49.11/7.67 | (602) all_22_4 = all_16_2 % 49.11/7.67 | % 49.11/7.67 | COMBINE_EQS: (457), (458) imply: % 49.11/7.67 | (603) all_16_6 = e10 % 49.11/7.67 | % 49.11/7.67 | SIMP: (603) implies: % 49.11/7.67 | (604) all_16_6 = e10 % 49.11/7.67 | % 49.11/7.67 | COMBINE_EQS: (573), (574) imply: % 49.11/7.67 | (605) all_22_8 = all_16_10 % 49.11/7.67 | % 49.11/7.67 | SIMP: (605) implies: % 49.11/7.67 | (606) all_22_8 = all_16_10 % 49.11/7.67 | % 49.11/7.67 | COMBINE_EQS: (424), (582) imply: % 49.11/7.67 | (607) all_22_14 = all_12_11 % 49.11/7.67 | % 49.11/7.67 | COMBINE_EQS: (424), (425) imply: % 49.11/7.67 | (608) all_22_14 = all_16_14 % 49.11/7.67 | % 49.11/7.67 | COMBINE_EQS: (469), (559) imply: % 49.11/7.67 | (609) all_22_9 = all_12_12 % 49.11/7.67 | % 49.11/7.67 | COMBINE_EQS: (452), (453) imply: % 49.11/7.67 | (610) all_22_10 = all_16_7 % 49.11/7.67 | % 49.11/7.67 | COMBINE_EQS: (452), (567) imply: % 49.11/7.67 | (611) all_22_10 = all_12_13 % 49.11/7.67 | % 49.11/7.67 | COMBINE_EQS: (575), (576) imply: % 49.11/7.67 | (612) all_22_11 = all_12_14 % 49.11/7.67 | % 49.11/7.67 | SIMP: (612) implies: % 49.11/7.67 | (613) all_22_11 = all_12_14 % 49.11/7.67 | % 49.11/7.67 | COMBINE_EQS: (421), (584) imply: % 49.11/7.67 | (614) all_22_15 = all_12_15 % 49.11/7.67 | % 49.11/7.67 | COMBINE_EQS: (420), (584) imply: % 49.11/7.67 | (615) all_22_15 = all_16_15 % 49.11/7.67 | % 49.11/7.67 | COMBINE_EQS: (539), (540) imply: % 49.11/7.67 | (616) all_20_0 = e22 % 49.11/7.67 | % 49.11/7.67 | SIMP: (616) implies: % 49.11/7.67 | (617) all_20_0 = e22 % 49.11/7.67 | % 49.11/7.67 | COMBINE_EQS: (524), (525) imply: % 49.11/7.67 | (618) all_20_2 = all_18_4 % 49.11/7.67 | % 49.11/7.67 | SIMP: (618) implies: % 49.11/7.67 | (619) all_20_2 = all_18_4 % 49.11/7.67 | % 49.11/7.67 | COMBINE_EQS: (510), (511) imply: % 49.11/7.67 | (620) all_20_6 = all_18_8 % 49.11/7.67 | % 49.11/7.67 | SIMP: (620) implies: % 49.11/7.67 | (621) all_20_6 = all_18_8 % 49.11/7.67 | % 49.11/7.67 | COMBINE_EQS: (497), (498) imply: % 49.11/7.67 | (622) all_20_12 = all_14_3 % 49.11/7.67 | % 49.11/7.67 | SIMP: (622) implies: % 49.11/7.67 | (623) all_20_12 = all_14_3 % 49.11/7.67 | % 49.11/7.67 | COMBINE_EQS: (534), (535) imply: % 49.11/7.67 | (624) all_20_1 = all_14_4 % 49.11/7.67 | % 49.11/7.67 | SIMP: (624) implies: % 49.11/7.67 | (625) all_20_1 = all_14_4 % 49.11/7.67 | % 49.11/7.67 | COMBINE_EQS: (521), (522) imply: % 49.11/7.67 | (626) all_20_3 = all_14_5 % 49.11/7.67 | % 49.11/7.67 | SIMP: (626) implies: % 49.11/7.67 | (627) all_20_3 = all_14_5 % 49.11/7.67 | % 49.11/7.67 | COMBINE_EQS: (506), (507) imply: % 49.11/7.67 | (628) all_20_7 = all_18_9 % 49.11/7.67 | % 49.11/7.67 | COMBINE_EQS: (506), (508) imply: % 49.11/7.67 | (629) all_20_7 = all_14_6 % 49.11/7.67 | % 49.11/7.67 | COMBINE_EQS: (494), (495) imply: % 49.11/7.67 | (630) all_20_13 = all_18_13 % 49.11/7.67 | % 49.11/7.67 | SIMP: (630) implies: % 49.11/7.67 | (631) all_20_13 = all_18_13 % 49.11/7.67 | % 49.11/7.67 | COMBINE_EQS: (530), (531) imply: % 49.11/7.67 | (632) all_20_4 = all_18_2 % 49.11/7.67 | % 49.11/7.67 | SIMP: (632) implies: % 49.11/7.67 | (633) all_20_4 = all_18_2 % 49.11/7.67 | % 49.11/7.67 | COMBINE_EQS: (517), (518) imply: % 49.11/7.67 | (634) all_20_5 = all_14_9 % 49.11/7.68 | % 49.11/7.68 | SIMP: (634) implies: % 49.11/7.68 | (635) all_20_5 = all_14_9 % 49.11/7.68 | % 49.11/7.68 | COMBINE_EQS: (504), (505) imply: % 49.11/7.68 | (636) all_20_8 = all_4_1 % 49.11/7.68 | % 49.11/7.68 | SIMP: (636) implies: % 49.11/7.68 | (637) all_20_8 = all_4_1 % 49.11/7.68 | % 49.11/7.68 | COMBINE_EQS: (491), (492) imply: % 49.11/7.68 | (638) all_20_14 = all_18_14 % 49.11/7.68 | % 49.11/7.68 | SIMP: (638) implies: % 49.11/7.68 | (639) all_20_14 = all_18_14 % 49.11/7.68 | % 49.11/7.68 | COMBINE_EQS: (527), (528) imply: % 49.11/7.68 | (640) all_20_9 = all_18_3 % 49.11/7.68 | % 49.11/7.68 | SIMP: (640) implies: % 49.11/7.68 | (641) all_20_9 = all_18_3 % 49.11/7.68 | % 49.11/7.68 | COMBINE_EQS: (513), (514) imply: % 49.11/7.68 | (642) all_20_10 = all_18_7 % 49.11/7.68 | % 49.11/7.68 | SIMP: (642) implies: % 49.11/7.68 | (643) all_20_10 = all_18_7 % 49.11/7.68 | % 49.11/7.68 | COMBINE_EQS: (499), (500) imply: % 49.11/7.68 | (644) all_20_11 = all_18_11 % 49.11/7.68 | % 49.11/7.68 | COMBINE_EQS: (499), (501) imply: % 49.11/7.68 | (645) all_20_11 = all_14_14 % 49.11/7.68 | % 49.11/7.68 | COMBINE_EQS: (488), (489) imply: % 49.11/7.68 | (646) all_20_15 = all_14_15 % 49.11/7.68 | % 49.11/7.68 | SIMP: (646) implies: % 49.11/7.68 | (647) all_20_15 = all_14_15 % 49.11/7.68 | % 49.11/7.68 | COMBINE_EQS: (552), (586) imply: % 49.11/7.68 | (648) all_16_0 = e12 % 49.11/7.68 | % 49.11/7.68 | SIMP: (648) implies: % 49.11/7.68 | (649) all_16_0 = e12 % 49.11/7.68 | % 49.11/7.68 | COMBINE_EQS: (593), (594) imply: % 49.11/7.68 | (650) all_16_1 = e11 % 49.11/7.68 | % 49.11/7.68 | SIMP: (650) implies: % 49.11/7.68 | (651) all_16_1 = e11 % 49.11/7.68 | % 49.11/7.68 | COMBINE_EQS: (465), (588) imply: % 49.11/7.68 | (652) all_16_4 = all_12_1 % 49.11/7.68 | % 49.11/7.68 | COMBINE_EQS: (461), (596) imply: % 49.11/7.68 | (653) all_16_5 = all_12_5 % 49.11/7.68 | % 49.11/7.68 | COMBINE_EQS: (557), (602) imply: % 49.11/7.68 | (654) all_16_2 = all_12_8 % 49.11/7.68 | % 49.11/7.68 | COMBINE_EQS: (456), (565) imply: % 49.11/7.68 | (655) all_16_6 = all_12_9 % 49.11/7.68 | % 49.11/7.68 | SIMP: (655) implies: % 49.11/7.68 | (656) all_16_6 = all_12_9 % 49.11/7.68 | % 49.11/7.68 | COMBINE_EQS: (448), (590) imply: % 49.11/7.68 | (657) all_16_8 = all_12_2 % 49.11/7.68 | % 49.11/7.68 | SIMP: (657) implies: % 49.11/7.68 | (658) all_16_8 = all_12_2 % 49.11/7.68 | % 49.11/7.68 | COMBINE_EQS: (572), (598) imply: % 49.11/7.68 | (659) all_16_9 = all_12_6 % 49.11/7.68 | % 49.11/7.68 | COMBINE_EQS: (440), (606) imply: % 49.11/7.68 | (660) all_16_10 = all_12_10 % 49.11/7.68 | % 49.11/7.68 | SIMP: (660) implies: % 49.11/7.68 | (661) all_16_10 = all_12_10 % 49.11/7.68 | % 49.11/7.68 | COMBINE_EQS: (610), (611) imply: % 49.11/7.68 | (662) all_16_7 = all_12_13 % 49.11/7.68 | % 49.11/7.68 | SIMP: (662) implies: % 49.11/7.68 | (663) all_16_7 = all_12_13 % 49.11/7.68 | % 49.11/7.68 | COMBINE_EQS: (436), (613) imply: % 49.11/7.68 | (664) all_16_11 = all_12_14 % 49.11/7.68 | % 49.11/7.68 | SIMP: (664) implies: % 49.11/7.68 | (665) all_16_11 = all_12_14 % 49.11/7.68 | % 49.11/7.68 | COMBINE_EQS: (432), (592) imply: % 49.11/7.68 | (666) all_16_12 = all_12_3 % 49.11/7.68 | % 49.11/7.68 | SIMP: (666) implies: % 49.11/7.68 | (667) all_16_12 = all_12_3 % 49.11/7.68 | % 49.11/7.68 | COMBINE_EQS: (599), (600) imply: % 49.11/7.68 | (668) all_16_13 = all_12_7 % 49.11/7.68 | % 49.11/7.68 | SIMP: (668) implies: % 49.11/7.68 | (669) all_16_13 = all_12_7 % 49.11/7.68 | % 49.11/7.68 | COMBINE_EQS: (607), (608) imply: % 49.11/7.68 | (670) all_16_14 = all_12_11 % 49.11/7.68 | % 49.11/7.68 | SIMP: (670) implies: % 49.11/7.68 | (671) all_16_14 = all_12_11 % 49.11/7.68 | % 49.11/7.68 | COMBINE_EQS: (614), (615) imply: % 49.11/7.68 | (672) all_16_15 = all_12_15 % 49.11/7.68 | % 49.11/7.68 | COMBINE_EQS: (538), (617) imply: % 49.11/7.68 | (673) all_18_0 = e22 % 49.11/7.68 | % 49.11/7.68 | SIMP: (673) implies: % 49.11/7.68 | (674) all_18_0 = e22 % 49.11/7.68 | % 49.11/7.68 | COMBINE_EQS: (533), (625) imply: % 49.11/7.68 | (675) all_18_1 = all_14_4 % 49.11/7.68 | % 49.11/7.68 | SIMP: (675) implies: % 49.11/7.68 | (676) all_18_1 = all_14_4 % 49.11/7.68 | % 49.11/7.68 | COMBINE_EQS: (523), (619) imply: % 49.11/7.68 | (677) all_18_4 = all_14_1 % 49.11/7.68 | % 49.11/7.68 | COMBINE_EQS: (519), (520) imply: % 49.11/7.68 | (678) all_18_5 = all_6_1 % 49.11/7.68 | % 49.11/7.68 | COMBINE_EQS: (519), (627) imply: % 49.11/7.68 | (679) all_18_5 = all_14_5 % 49.11/7.68 | % 49.11/7.68 | COMBINE_EQS: (529), (633) imply: % 49.11/7.68 | (680) all_18_2 = all_14_8 % 49.11/7.68 | % 49.11/7.68 | COMBINE_EQS: (516), (635) imply: % 49.11/7.68 | (681) all_18_6 = all_14_9 % 49.11/7.68 | % 49.11/7.68 | SIMP: (681) implies: % 49.11/7.68 | (682) all_18_6 = all_14_9 % 49.11/7.68 | % 49.11/7.68 | COMBINE_EQS: (509), (621) imply: % 49.11/7.68 | (683) all_18_8 = all_14_2 % 49.11/7.68 | % 49.11/7.68 | COMBINE_EQS: (628), (629) imply: % 49.11/7.68 | (684) all_18_9 = all_14_6 % 49.11/7.68 | % 49.11/7.68 | SIMP: (684) implies: % 49.11/7.68 | (685) all_18_9 = all_14_6 % 49.11/7.68 | % 49.11/7.68 | COMBINE_EQS: (503), (637) imply: % 49.11/7.68 | (686) all_18_10 = all_4_1 % 49.11/7.68 | % 49.11/7.68 | SIMP: (686) implies: % 49.11/7.68 | (687) all_18_10 = all_4_1 % 49.11/7.68 | % 49.11/7.68 | COMBINE_EQS: (526), (641) imply: % 49.11/7.68 | (688) all_18_3 = all_14_12 % 49.11/7.68 | % 49.11/7.68 | SIMP: (688) implies: % 49.11/7.68 | (689) all_18_3 = all_14_12 % 49.11/7.68 | % 49.11/7.68 | COMBINE_EQS: (512), (643) imply: % 49.11/7.68 | (690) all_18_7 = all_14_13 % 49.11/7.68 | % 49.11/7.68 | SIMP: (690) implies: % 49.11/7.68 | (691) all_18_7 = all_14_13 % 49.11/7.68 | % 49.11/7.68 | COMBINE_EQS: (644), (645) imply: % 49.11/7.68 | (692) all_18_11 = all_14_14 % 49.11/7.68 | % 49.11/7.68 | SIMP: (692) implies: % 49.11/7.68 | (693) all_18_11 = all_14_14 % 49.11/7.68 | % 49.11/7.68 | COMBINE_EQS: (496), (623) imply: % 49.11/7.68 | (694) all_18_12 = all_14_3 % 49.11/7.68 | % 49.11/7.68 | SIMP: (694) implies: % 49.11/7.68 | (695) all_18_12 = all_14_3 % 49.11/7.68 | % 49.11/7.68 | COMBINE_EQS: (493), (631) imply: % 49.11/7.68 | (696) all_18_13 = all_14_7 % 49.11/7.68 | % 49.11/7.68 | COMBINE_EQS: (490), (639) imply: % 49.11/7.68 | (697) all_18_14 = all_14_11 % 49.11/7.68 | % 49.11/7.68 | COMBINE_EQS: (486), (487) imply: % 49.11/7.68 | (698) all_18_15 = all_10_1 % 49.11/7.68 | % 49.11/7.68 | COMBINE_EQS: (486), (647) imply: % 49.11/7.68 | (699) all_18_15 = all_14_15 % 49.11/7.68 | % 49.11/7.68 | COMBINE_EQS: (537), (674) imply: % 49.11/7.68 | (700) all_14_0 = e22 % 49.11/7.68 | % 49.11/7.68 | SIMP: (700) implies: % 49.11/7.68 | (701) all_14_0 = e22 % 49.11/7.68 | % 49.11/7.68 | COMBINE_EQS: (532), (676) imply: % 49.11/7.68 | (702) all_14_4 = e21 % 49.11/7.68 | % 49.11/7.68 | COMBINE_EQS: (678), (679) imply: % 49.11/7.68 | (703) all_14_5 = all_6_1 % 49.11/7.68 | % 49.11/7.68 | COMBINE_EQS: (515), (682) imply: % 49.11/7.68 | (704) all_14_9 = e20 % 49.11/7.68 | % 49.11/7.68 | COMBINE_EQS: (502), (687) imply: % 49.11/7.68 | (705) all_14_10 = all_4_1 % 49.11/7.68 | % 49.11/7.68 | SIMP: (705) implies: % 49.11/7.68 | (706) all_14_10 = all_4_1 % 49.11/7.68 | % 49.11/7.68 | COMBINE_EQS: (698), (699) imply: % 49.11/7.68 | (707) all_14_15 = all_10_1 % 49.11/7.68 | % 49.11/7.68 | COMBINE_EQS: (553), (649) imply: % 49.11/7.68 | (708) all_12_0 = e12 % 49.11/7.68 | % 49.11/7.68 | SIMP: (708) implies: % 49.11/7.68 | (709) all_12_0 = e12 % 49.11/7.68 | % 49.11/7.68 | COMBINE_EQS: (476), (651) imply: % 49.11/7.68 | (710) all_12_4 = e11 % 49.11/7.68 | % 49.11/7.68 | SIMP: (710) implies: % 49.11/7.68 | (711) all_12_4 = e11 % 49.11/7.68 | % 49.11/7.68 | COMBINE_EQS: (604), (656) imply: % 49.11/7.68 | (712) all_12_9 = e10 % 49.11/7.68 | % 49.11/7.68 | COMBINE_EQS: (536), (701) imply: % 49.11/7.68 | (713) all_8_1 = e22 % 49.11/7.68 | % 49.11/7.68 | SIMP: (713) implies: % 49.11/7.68 | (714) all_8_1 = e22 % 49.11/7.68 | % 49.11/7.68 | COMBINE_EQS: (635), (704) imply: % 49.11/7.68 | (715) all_20_5 = e20 % 49.11/7.68 | % 49.11/7.68 | COMBINE_EQS: (625), (702) imply: % 49.11/7.68 | (716) all_20_1 = e21 % 49.11/7.68 | % 49.11/7.68 | COMBINE_EQS: (565), (712) imply: % 49.11/7.68 | (717) all_22_5 = e10 % 49.11/7.68 | % 49.11/7.68 | COMBINE_EQS: (489), (707) imply: % 49.11/7.68 | (718) all_24_31 = all_10_1 % 49.11/7.68 | % 49.11/7.68 | COMBINE_EQS: (514), (691) imply: % 49.11/7.68 | (719) all_24_29 = all_14_13 % 49.11/7.68 | % 49.11/7.68 | COMBINE_EQS: (528), (689) imply: % 49.11/7.68 | (720) all_24_28 = all_14_12 % 49.11/7.68 | % 49.11/7.68 | COMBINE_EQS: (492), (697) imply: % 49.11/7.68 | (721) all_24_27 = all_14_11 % 49.11/7.68 | % 49.11/7.68 | COMBINE_EQS: (518), (704) imply: % 49.11/7.68 | (722) all_24_25 = e20 % 49.11/7.68 | % 49.11/7.68 | COMBINE_EQS: (531), (680) imply: % 49.11/7.68 | (723) all_24_24 = all_14_8 % 49.11/7.68 | % 49.11/7.68 | COMBINE_EQS: (495), (696) imply: % 49.11/7.68 | (724) all_24_23 = all_14_7 % 49.11/7.68 | % 49.11/7.68 | COMBINE_EQS: (522), (703) imply: % 49.11/7.68 | (725) all_24_21 = all_6_1 % 49.11/7.68 | % 49.11/7.68 | COMBINE_EQS: (535), (702) imply: % 49.11/7.68 | (726) all_24_20 = e21 % 49.11/7.68 | % 49.11/7.68 | COMBINE_EQS: (511), (683) imply: % 49.11/7.68 | (727) all_24_18 = all_14_2 % 49.11/7.68 | % 49.11/7.68 | COMBINE_EQS: (525), (677) imply: % 49.11/7.68 | (728) all_24_17 = all_14_1 % 49.11/7.68 | % 49.11/7.68 | COMBINE_EQS: (573), (661) imply: % 49.11/7.68 | (729) all_26_26 = all_12_10 % 49.11/7.68 | % 49.11/7.68 | COMBINE_EQS: (473), (654) imply: % 49.11/7.68 | (730) all_26_24 = all_12_8 % 49.11/7.68 | % 49.11/7.68 | COMBINE_EQS: (562), (653) imply: % 49.11/7.68 | (731) all_26_21 = all_12_5 % 49.11/7.68 | % 49.11/7.68 | COMBINE_EQS: (423), (614) imply: % 49.11/7.68 | (732) all_28_159 = all_12_15 % 49.11/7.68 | % 49.11/7.68 | COMBINE_EQS: (431), (599) imply: % 49.11/7.68 | (733) all_28_151 = all_12_7 % 49.11/7.68 | % 49.11/7.68 | COMBINE_EQS: (441), (729) imply: % 49.11/7.68 | (734) all_28_140 = all_12_10 % 49.11/7.68 | % 49.11/7.68 | COMBINE_EQS: (446), (598) imply: % 49.11/7.68 | (735) all_28_137 = all_12_6 % 49.11/7.68 | % 49.11/7.68 | COMBINE_EQS: (460), (712) imply: % 49.11/7.68 | (736) all_28_128 = e10 % 49.11/7.68 | % 49.11/7.68 | COMBINE_EQS: (462), (731) imply: % 49.11/7.68 | (737) all_28_125 = all_12_5 % 49.11/7.68 | % 49.11/7.68 | COMBINE_EQS: (480), (593) imply: % 49.11/7.68 | (738) all_28_113 = e11 % 49.11/7.68 | % 49.11/7.68 | COMBINE_EQS: (484), (649) imply: % 49.11/7.68 | (739) all_28_110 = e12 % 49.11/7.68 | % 49.11/7.68 | COMBINE_EQS: (549), (714) imply: % 49.11/7.68 | (740) all_28_28 = e22 % 49.11/7.68 | % 49.11/7.68 | REDUCE: (157), (701) imply: % 49.11/7.68 | (741) ~ (all_14_1 = e22) % 49.11/7.68 | % 49.11/7.68 | SIMP: (741) implies: % 49.11/7.68 | (742) ~ (all_14_1 = e22) % 49.11/7.68 | % 49.11/7.68 | REDUCE: (156), (701) imply: % 49.11/7.68 | (743) ~ (all_14_2 = e22) % 49.11/7.68 | % 49.11/7.68 | SIMP: (743) implies: % 49.11/7.68 | (744) ~ (all_14_2 = e22) % 49.11/7.68 | % 49.11/7.68 | REDUCE: (155), (701) imply: % 49.11/7.68 | (745) ~ (all_14_3 = e22) % 49.11/7.68 | % 49.11/7.68 | SIMP: (745) implies: % 49.11/7.68 | (746) ~ (all_14_3 = e22) % 49.11/7.68 | % 49.11/7.68 | REDUCE: (152), (703) imply: % 49.11/7.69 | (747) ~ (all_14_1 = all_6_1) % 49.11/7.69 | % 49.11/7.69 | REDUCE: (151), (704) imply: % 49.11/7.69 | (748) ~ (all_14_1 = e20) % 49.11/7.69 | % 49.11/7.69 | REDUCE: (147), (706) imply: % 49.11/7.69 | (749) ~ (all_14_2 = all_4_1) % 49.11/7.69 | % 49.11/7.69 | REDUCE: (143), (707) imply: % 49.11/7.69 | (750) ~ (all_14_3 = all_10_1) % 49.11/7.69 | % 49.11/7.69 | REDUCE: (142), (702), (703) imply: % 49.11/7.69 | (751) ~ (all_6_1 = e21) % 49.11/7.69 | % 49.11/7.69 | SIMP: (751) implies: % 49.11/7.69 | (752) ~ (all_6_1 = e21) % 49.11/7.69 | % 49.11/7.69 | REDUCE: (141), (702) imply: % 49.11/7.69 | (753) ~ (all_14_6 = e21) % 49.11/7.69 | % 49.11/7.69 | SIMP: (753) implies: % 49.11/7.69 | (754) ~ (all_14_6 = e21) % 49.11/7.69 | % 49.11/7.69 | REDUCE: (140), (702) imply: % 49.11/7.69 | (755) ~ (all_14_7 = e21) % 49.11/7.69 | % 49.11/7.69 | SIMP: (755) implies: % 49.11/7.69 | (756) ~ (all_14_7 = e21) % 49.11/7.69 | % 49.11/7.69 | REDUCE: (139), (702) imply: % 49.11/7.69 | (757) ~ (all_14_8 = e21) % 49.11/7.69 | % 49.11/7.69 | SIMP: (757) implies: % 49.11/7.69 | (758) ~ (all_14_8 = e21) % 49.11/7.69 | % 49.11/7.69 | REDUCE: (138), (702) imply: % 49.11/7.69 | (759) ~ (all_14_12 = e21) % 49.11/7.69 | % 49.11/7.69 | SIMP: (759) implies: % 49.11/7.69 | (760) ~ (all_14_12 = e21) % 49.11/7.69 | % 49.11/7.69 | REDUCE: (137), (703) imply: % 49.11/7.69 | (761) ~ (all_14_6 = all_6_1) % 49.11/7.69 | % 49.11/7.69 | SIMP: (761) implies: % 49.11/7.69 | (762) ~ (all_14_6 = all_6_1) % 49.11/7.69 | % 49.11/7.69 | REDUCE: (136), (703) imply: % 49.11/7.69 | (763) ~ (all_14_7 = all_6_1) % 49.11/7.69 | % 49.11/7.69 | SIMP: (763) implies: % 49.11/7.69 | (764) ~ (all_14_7 = all_6_1) % 49.11/7.69 | % 49.11/7.69 | REDUCE: (135), (703), (704) imply: % 49.11/7.69 | (765) ~ (all_6_1 = e20) % 49.11/7.69 | % 49.11/7.69 | REDUCE: (134), (703) imply: % 49.11/7.69 | (766) ~ (all_14_13 = all_6_1) % 49.11/7.69 | % 49.11/7.69 | SIMP: (766) implies: % 49.11/7.69 | (767) ~ (all_14_13 = all_6_1) % 49.11/7.69 | % 49.11/7.69 | REDUCE: (131), (707) imply: % 49.11/7.69 | (768) ~ (all_14_7 = all_10_1) % 49.11/7.69 | % 49.11/7.69 | REDUCE: (130), (704) imply: % 49.11/7.69 | (769) ~ (all_14_8 = e20) % 49.11/7.69 | % 49.11/7.69 | REDUCE: (129), (706) imply: % 49.11/7.69 | (770) ~ (all_14_8 = all_4_1) % 49.11/7.69 | % 49.11/7.69 | REDUCE: (126), (704), (706) imply: % 49.11/7.69 | (771) ~ (all_4_1 = e20) % 49.11/7.69 | % 49.11/7.69 | SIMP: (771) implies: % 49.11/7.69 | (772) ~ (all_4_1 = e20) % 49.11/7.69 | % 49.11/7.69 | REDUCE: (125), (704) imply: % 49.11/7.69 | (773) ~ (all_14_11 = e20) % 49.11/7.69 | % 49.11/7.69 | SIMP: (773) implies: % 49.11/7.69 | (774) ~ (all_14_11 = e20) % 49.11/7.69 | % 49.11/7.69 | REDUCE: (124), (706) imply: % 49.11/7.69 | (775) ~ (all_14_11 = all_4_1) % 49.11/7.69 | % 49.11/7.69 | SIMP: (775) implies: % 49.11/7.69 | (776) ~ (all_14_11 = all_4_1) % 49.11/7.69 | % 49.11/7.69 | REDUCE: (123), (706) imply: % 49.11/7.69 | (777) ~ (all_14_14 = all_4_1) % 49.11/7.69 | % 49.11/7.69 | SIMP: (777) implies: % 49.11/7.69 | (778) ~ (all_14_14 = all_4_1) % 49.11/7.69 | % 49.11/7.69 | REDUCE: (122), (707) imply: % 49.11/7.69 | (779) ~ (all_14_11 = all_10_1) % 49.11/7.69 | % 49.11/7.69 | REDUCE: (119), (707) imply: % 49.11/7.69 | (780) ~ (all_14_12 = all_10_1) % 49.11/7.69 | % 49.11/7.69 | REDUCE: (117), (707) imply: % 49.11/7.69 | (781) ~ (all_14_13 = all_10_1) % 49.11/7.69 | % 49.11/7.69 | REDUCE: (116), (707) imply: % 49.11/7.69 | (782) ~ (all_14_14 = all_10_1) % 49.11/7.69 | % 49.11/7.69 | REDUCE: (98), (709) imply: % 49.11/7.69 | (783) ~ (all_12_1 = e12) % 49.11/7.69 | % 49.11/7.69 | SIMP: (783) implies: % 49.11/7.69 | (784) ~ (all_12_1 = e12) % 49.11/7.69 | % 49.11/7.69 | REDUCE: (97), (709) imply: % 49.11/7.69 | (785) ~ (all_12_2 = e12) % 49.11/7.69 | % 49.11/7.69 | SIMP: (785) implies: % 49.11/7.69 | (786) ~ (all_12_2 = e12) % 49.11/7.69 | % 49.11/7.69 | REDUCE: (96), (709) imply: % 49.11/7.69 | (787) ~ (all_12_3 = e12) % 49.11/7.69 | % 49.11/7.69 | SIMP: (787) implies: % 49.11/7.69 | (788) ~ (all_12_3 = e12) % 49.11/7.69 | % 49.11/7.69 | REDUCE: (95), (709) imply: % 49.11/7.69 | (789) ~ (all_12_8 = e12) % 49.11/7.69 | % 49.11/7.69 | SIMP: (789) implies: % 49.11/7.69 | (790) ~ (all_12_8 = e12) % 49.11/7.69 | % 49.11/7.69 | REDUCE: (94), (709) imply: % 49.11/7.69 | (791) ~ (all_12_12 = e12) % 49.11/7.69 | % 49.11/7.69 | SIMP: (791) implies: % 49.11/7.69 | (792) ~ (all_12_12 = e12) % 49.11/7.69 | % 49.11/7.69 | REDUCE: (90), (712) imply: % 49.11/7.69 | (793) ~ (all_12_1 = e10) % 49.11/7.69 | % 49.11/7.69 | REDUCE: (81), (711) imply: % 49.11/7.69 | (794) ~ (all_12_5 = e11) % 49.11/7.69 | % 49.11/7.69 | SIMP: (794) implies: % 49.11/7.69 | (795) ~ (all_12_5 = e11) % 49.11/7.69 | % 49.11/7.69 | REDUCE: (80), (711) imply: % 49.11/7.69 | (796) ~ (all_12_7 = e11) % 49.11/7.69 | % 49.11/7.69 | SIMP: (796) implies: % 49.11/7.69 | (797) ~ (all_12_7 = e11) % 49.11/7.69 | % 49.11/7.69 | REDUCE: (79), (711) imply: % 49.11/7.69 | (798) ~ (all_12_8 = e11) % 49.11/7.69 | % 49.11/7.69 | SIMP: (798) implies: % 49.11/7.69 | (799) ~ (all_12_8 = e11) % 49.11/7.69 | % 49.11/7.69 | REDUCE: (78), (711) imply: % 49.11/7.69 | (800) ~ (all_12_12 = e11) % 49.21/7.69 | % 49.21/7.69 | SIMP: (800) implies: % 49.21/7.69 | (801) ~ (all_12_12 = e11) % 49.21/7.69 | % 49.21/7.69 | REDUCE: (75), (712) imply: % 49.21/7.69 | (802) ~ (all_12_5 = e10) % 49.21/7.69 | % 49.21/7.69 | REDUCE: (70), (712) imply: % 49.21/7.69 | (803) ~ (all_12_8 = e10) % 49.21/7.69 | % 49.21/7.69 | REDUCE: (66), (712) imply: % 49.21/7.69 | (804) ~ (all_12_10 = e10) % 49.21/7.69 | % 49.21/7.69 | SIMP: (804) implies: % 49.21/7.69 | (805) ~ (all_12_10 = e10) % 49.21/7.69 | % 49.21/7.69 | REDUCE: (65), (712) imply: % 49.21/7.69 | (806) ~ (all_12_11 = e10) % 49.21/7.69 | % 49.21/7.69 | SIMP: (806) implies: % 49.21/7.69 | (807) ~ (all_12_11 = e10) % 49.21/7.69 | % 49.21/7.69 | REDUCE: (418), (739) imply: % 49.21/7.69 | (808) h4(e12) = all_28_1 % 49.21/7.69 | % 49.21/7.69 | REDUCE: (417), (738) imply: % 49.21/7.69 | (809) h4(e11) = all_28_3 % 49.21/7.69 | % 49.21/7.69 | REDUCE: (416), (475) imply: % 49.21/7.69 | (810) h4(all_12_8) = all_28_5 % 49.21/7.69 | % 49.21/7.69 | REDUCE: (415), (471) imply: % 49.21/7.69 | (811) h4(all_12_12) = all_28_7 % 49.21/7.69 | % 49.21/7.69 | REDUCE: (414), (468) imply: % 49.21/7.69 | (812) h4(all_12_1) = all_28_9 % 49.21/7.69 | % 49.21/7.69 | REDUCE: (413), (737) imply: % 49.21/7.69 | (813) h4(all_12_5) = all_28_11 % 49.21/7.69 | % 49.21/7.69 | REDUCE: (412), (736) imply: % 49.21/7.69 | (814) h4(e10) = all_28_13 % 49.21/7.69 | % 49.21/7.69 | REDUCE: (411), (455) imply: % 49.21/7.69 | (815) h4(all_12_13) = all_28_15 % 49.21/7.69 | % 49.21/7.69 | REDUCE: (410), (451) imply: % 49.21/7.69 | (816) h4(all_12_2) = all_28_17 % 49.21/7.69 | % 49.21/7.69 | REDUCE: (409), (735) imply: % 49.21/7.69 | (817) h4(all_12_6) = all_28_19 % 49.21/7.69 | % 49.21/7.69 | REDUCE: (408), (734) imply: % 49.21/7.69 | (818) h4(all_12_10) = all_28_21 % 49.21/7.69 | % 49.21/7.69 | REDUCE: (407), (439) imply: % 49.21/7.69 | (819) h4(all_12_14) = all_28_23 % 49.21/7.69 | % 49.21/7.69 | REDUCE: (406), (435) imply: % 49.21/7.69 | (820) h4(all_12_3) = all_28_26 % 49.21/7.69 | % 49.21/7.69 | REDUCE: (405), (733) imply: % 49.21/7.69 | (821) h4(all_12_7) = all_28_29 % 49.21/7.69 | % 49.21/7.69 | REDUCE: (404), (427) imply: % 49.21/7.69 | (822) h4(all_12_11) = all_28_32 % 49.21/7.69 | % 49.21/7.69 | REDUCE: (403), (732) imply: % 49.21/7.69 | (823) h4(all_12_15) = all_28_35 % 49.21/7.69 | % 49.21/7.69 | REDUCE: (49), (714) imply: % 49.21/7.69 | (824) h4(e12) = e22 % 49.21/7.69 | % 49.21/7.69 | REDUCE: (392), (550) imply: % 49.21/7.69 | (825) op2(e23, e23) = all_28_0 % 49.21/7.69 | % 49.21/7.69 | REDUCE: (391), (550), (740) imply: % 49.21/7.69 | (826) op2(e23, e22) = all_28_2 % 49.21/7.69 | % 49.21/7.69 | REDUCE: (390), (548), (550) imply: % 49.21/7.69 | (827) op2(e23, all_8_0) = all_28_4 % 49.21/7.69 | % 49.21/7.69 | REDUCE: (389), (547), (550) imply: % 49.21/7.69 | (828) op2(e23, all_8_2) = all_28_6 % 49.21/7.69 | % 49.21/7.69 | REDUCE: (388), (550), (740) imply: % 49.21/7.69 | (829) op2(e22, e23) = all_28_8 % 49.21/7.69 | % 49.21/7.69 | REDUCE: (387), (740) imply: % 49.21/7.69 | (830) op2(e22, e22) = all_28_10 % 49.21/7.69 | % 49.21/7.69 | REDUCE: (386), (548), (740) imply: % 49.21/7.69 | (831) op2(e22, all_8_0) = all_28_12 % 49.21/7.69 | % 49.21/7.69 | REDUCE: (385), (547), (740) imply: % 49.21/7.69 | (832) op2(e22, all_8_2) = all_28_14 % 49.21/7.69 | % 49.21/7.69 | REDUCE: (384), (548), (550) imply: % 49.21/7.69 | (833) op2(all_8_0, e23) = all_28_16 % 49.21/7.69 | % 49.21/7.69 | REDUCE: (383), (548), (740) imply: % 49.21/7.69 | (834) op2(all_8_0, e22) = all_28_18 % 49.21/7.69 | % 49.21/7.70 | REDUCE: (382), (548) imply: % 49.21/7.70 | (835) op2(all_8_0, all_8_0) = all_28_20 % 49.21/7.70 | % 49.21/7.70 | REDUCE: (381), (547), (548) imply: % 49.21/7.70 | (836) op2(all_8_0, all_8_2) = all_28_22 % 49.21/7.70 | % 49.21/7.70 | REDUCE: (380), (547), (550) imply: % 49.21/7.70 | (837) op2(all_8_2, e23) = all_28_24 % 49.21/7.70 | % 49.21/7.70 | REDUCE: (379), (547), (740) imply: % 49.21/7.70 | (838) op2(all_8_2, e22) = all_28_27 % 49.21/7.70 | % 49.21/7.70 | REDUCE: (378), (547), (548) imply: % 49.21/7.70 | (839) op2(all_8_2, all_8_0) = all_28_30 % 49.21/7.70 | % 49.21/7.70 | REDUCE: (377), (547) imply: % 49.21/7.70 | (840) op2(all_8_2, all_8_2) = all_28_33 % 49.21/7.70 | % 49.21/7.70 | REDUCE: (376), (546) imply: % 49.21/7.70 | (841) op2(e22, e22) = all_28_36 % 49.21/7.70 | % 49.21/7.70 | REDUCE: (375), (545), (546) imply: % 49.21/7.70 | (842) op2(e22, all_6_1) = all_28_38 % 49.21/7.70 | % 49.21/7.70 | REDUCE: (374), (544) imply: % 49.21/7.70 | (843) op2(e21, e21) = all_28_72 % 49.21/7.70 | % 49.21/7.70 | REDUCE: (373), (543), (544) imply: % 49.21/7.70 | (844) op2(e21, all_4_1) = all_28_74 % 49.21/7.70 | % 49.21/7.70 | REDUCE: (372), (542) imply: % 49.21/7.70 | (845) op2(e20, e20) = all_28_108 % 49.21/7.70 | % 49.21/7.70 | REDUCE: (371), (541), (542) imply: % 49.21/7.70 | (846) op2(e20, all_10_1) = all_28_111 % 49.21/7.70 | % 49.21/7.70 | REDUCE: (46), (714) imply: % 49.21/7.70 | (847) op2(e22, all_8_0) = all_8_2 % 49.21/7.70 | % 49.21/7.70 | REDUCE: (316), (540) imply: % 49.21/7.70 | (848) op2(e23, e22) = all_24_0 % 49.21/7.70 | % 49.21/7.70 | REDUCE: (315), (726) imply: % 49.21/7.70 | (849) op2(e23, e21) = all_24_1 % 49.21/7.70 | % 49.21/7.70 | REDUCE: (314), (720) imply: % 49.21/7.70 | (850) op2(e23, all_14_12) = all_24_3 % 49.21/7.70 | % 49.21/7.70 | REDUCE: (45), (714) imply: % 49.21/7.70 | (851) op2(e23, e22) = all_8_0 % 49.21/7.70 | % 49.21/7.70 | REDUCE: (309), (728) imply: % 49.21/7.70 | (852) op2(e22, all_14_1) = all_24_4 % 49.21/7.70 | % 49.21/7.70 | REDUCE: (308), (725) imply: % 49.21/7.70 | (853) op2(e22, all_6_1) = all_24_5 % 49.21/7.70 | % 49.21/7.70 | REDUCE: (307), (722) imply: % 49.21/7.70 | (854) op2(e22, e20) = all_24_6 % 49.21/7.70 | % 49.21/7.70 | REDUCE: (306), (719) imply: % 49.21/7.70 | (855) op2(e22, all_14_13) = all_24_7 % 49.21/7.70 | % 49.21/7.70 | REDUCE: (301), (727) imply: % 49.21/7.70 | (856) op2(e21, all_14_2) = all_24_8 % 49.21/7.70 | % 49.21/7.70 | REDUCE: (300), (508) imply: % 49.21/7.70 | (857) op2(e21, all_14_6) = all_24_9 % 49.21/7.70 | % 49.21/7.70 | REDUCE: (299), (505) imply: % 49.21/7.70 | (858) op2(e21, all_4_1) = all_24_10 % 49.21/7.70 | % 49.21/7.70 | REDUCE: (298), (501) imply: % 49.21/7.70 | (859) op2(e21, all_14_14) = all_24_11 % 49.21/7.70 | % 49.21/7.70 | REDUCE: (293), (498) imply: % 49.21/7.70 | (860) op2(e20, all_14_3) = all_24_12 % 49.21/7.70 | % 49.21/7.70 | REDUCE: (292), (724) imply: % 49.21/7.70 | (861) op2(e20, all_14_7) = all_24_13 % 49.21/7.70 | % 49.21/7.70 | REDUCE: (291), (721) imply: % 49.21/7.70 | (862) op2(e20, all_14_11) = all_24_14 % 49.21/7.70 | % 49.21/7.70 | REDUCE: (290), (718) imply: % 49.21/7.70 | (863) op2(e20, all_10_1) = all_24_15 % 49.21/7.70 | % 49.21/7.70 | REDUCE: (345), (561) imply: % 49.21/7.70 | (864) op1(e12, all_12_1) = all_26_4 % 49.21/7.70 | % 49.21/7.70 | REDUCE: (344), (731) imply: % 49.21/7.70 | (865) op1(e12, all_12_5) = all_26_5 % 49.21/7.70 | % 49.21/7.70 | REDUCE: (343), (458) imply: % 49.21/7.70 | (866) op1(e12, e10) = all_26_6 % 49.21/7.70 | % 49.21/7.70 | REDUCE: (342), (567) imply: % 49.21/7.70 | (867) op1(e12, all_12_13) = all_26_7 % 49.21/7.70 | % 49.21/7.70 | REDUCE: (337), (569) imply: % 49.21/7.70 | (868) op1(e11, all_12_2) = all_26_8 % 49.21/7.70 | % 49.21/7.70 | REDUCE: (336), (444) imply: % 49.21/7.70 | (869) op1(e11, all_12_6) = all_26_9 % 49.21/7.70 | % 49.21/7.70 | REDUCE: (335), (729) imply: % 49.21/7.70 | (870) op1(e11, all_12_10) = all_26_10 % 49.21/7.70 | % 49.21/7.70 | REDUCE: (334), (575) imply: % 49.21/7.70 | (871) op1(e11, all_12_14) = all_26_11 % 49.21/7.70 | % 49.21/7.70 | REDUCE: (329), (578) imply: % 49.21/7.70 | (872) op1(e10, all_12_3) = all_26_12 % 49.21/7.70 | % 49.21/7.70 | REDUCE: (328), (429) imply: % 49.21/7.70 | (873) op1(e10, all_12_7) = all_26_13 % 49.21/7.70 | % 49.21/7.70 | REDUCE: (327), (582) imply: % 49.21/7.70 | (874) op1(e10, all_12_11) = all_26_14 % 49.21/7.70 | % 49.21/7.70 | REDUCE: (326), (421) imply: % 49.21/7.70 | (875) op1(e10, all_12_15) = all_26_15 % 49.21/7.70 | % 49.21/7.70 | BETA: splitting (229) gives: % 49.21/7.70 | % 49.21/7.70 | Case 1: % 49.21/7.70 | | % 49.21/7.70 | | (876) all_18_2 = e23 % 49.21/7.70 | | % 49.21/7.70 | | COMBINE_EQS: (680), (876) imply: % 49.21/7.70 | | (877) all_14_8 = e23 % 49.21/7.70 | | % 49.21/7.70 | | SIMP: (877) implies: % 49.21/7.70 | | (878) all_14_8 = e23 % 49.21/7.70 | | % 49.21/7.70 | | COMBINE_EQS: (529), (878) imply: % 49.21/7.70 | | (879) all_20_4 = e23 % 49.21/7.70 | | % 49.21/7.70 | | COMBINE_EQS: (723), (878) imply: % 49.21/7.70 | | (880) all_24_24 = e23 % 49.21/7.70 | | % 49.21/7.70 | | REDUCE: (128), (878) imply: % 49.21/7.70 | | (881) ~ (all_14_11 = e23) % 49.21/7.70 | | % 49.21/7.70 | | SIMP: (881) implies: % 49.21/7.70 | | (882) ~ (all_14_11 = e23) % 49.21/7.70 | | % 49.21/7.70 | | REDUCE: (127), (878) imply: % 49.21/7.70 | | (883) ~ (all_14_12 = e23) % 49.21/7.70 | | % 49.21/7.70 | | SIMP: (883) implies: % 49.21/7.70 | | (884) ~ (all_14_12 = e23) % 49.21/7.70 | | % 49.21/7.70 | | REDUCE: (770), (878) imply: % 49.21/7.70 | | (885) ~ (all_4_1 = e23) % 49.21/7.70 | | % 49.21/7.70 | | SIMP: (885) implies: % 49.21/7.70 | | (886) ~ (all_4_1 = e23) % 49.21/7.70 | | % 49.21/7.70 | | REDUCE: (171), (878) imply: % 49.21/7.70 | | (887) op2(e23, e21) = e23 % 49.21/7.70 | | % 49.21/7.70 | | BETA: splitting (255) gives: % 49.21/7.70 | | % 49.21/7.70 | | Case 1: % 49.21/7.70 | | | % 49.21/7.70 | | | (888) all_20_0 = e20 % 49.21/7.70 | | | % 49.21/7.70 | | | REF_CLOSE: (10), (617), (888) are inconsistent by sub-proof #26. % 49.21/7.70 | | | % 49.21/7.70 | | Case 2: % 49.21/7.70 | | | % 49.21/7.70 | | | (889) all_20_1 = e20 | all_20_4 = e20 | all_20_9 = e20 % 49.21/7.70 | | | % 49.21/7.70 | | | BETA: splitting (889) gives: % 49.21/7.70 | | | % 49.21/7.70 | | | Case 1: % 49.21/7.70 | | | | % 49.21/7.70 | | | | (890) all_20_1 = e20 % 49.21/7.70 | | | | % 49.21/7.70 | | | | REF_CLOSE: (9), (716), (890) are inconsistent by sub-proof #25. % 49.21/7.70 | | | | % 49.21/7.70 | | | Case 2: % 49.21/7.70 | | | | % 49.21/7.70 | | | | (891) all_20_4 = e20 | all_20_9 = e20 % 49.21/7.70 | | | | % 49.21/7.70 | | | | BETA: splitting (284) gives: % 49.21/7.70 | | | | % 49.21/7.70 | | | | Case 1: % 49.21/7.70 | | | | | % 49.21/7.70 | | | | | (892) all_22_0 = e10 % 49.21/7.70 | | | | | % 49.21/7.70 | | | | | COMBINE_EQS: (586), (892) imply: % 49.21/7.70 | | | | | (893) e12 = e10 % 49.21/7.70 | | | | | % 49.21/7.70 | | | | | REDUCE: (8), (893) imply: % 49.21/7.70 | | | | | (894) $false % 49.21/7.70 | | | | | % 49.21/7.70 | | | | | CLOSE: (894) is inconsistent. % 49.21/7.70 | | | | | % 49.21/7.70 | | | | Case 2: % 49.21/7.70 | | | | | % 49.21/7.70 | | | | | (895) all_22_1 = e10 | all_22_4 = e10 | all_22_9 = e10 % 49.21/7.70 | | | | | % 49.21/7.70 | | | | | BETA: splitting (895) gives: % 49.21/7.70 | | | | | % 49.21/7.70 | | | | | Case 1: % 49.21/7.70 | | | | | | % 49.21/7.70 | | | | | | (896) all_22_1 = e10 % 49.21/7.71 | | | | | | % 49.21/7.71 | | | | | | COMBINE_EQS: (593), (896) imply: % 49.21/7.71 | | | | | | (897) e11 = e10 % 49.21/7.71 | | | | | | % 49.21/7.71 | | | | | | REDUCE: (7), (897) imply: % 49.21/7.71 | | | | | | (898) $false % 49.21/7.71 | | | | | | % 49.21/7.71 | | | | | | CLOSE: (898) is inconsistent. % 49.21/7.71 | | | | | | % 49.21/7.71 | | | | | Case 2: % 49.21/7.71 | | | | | | % 49.21/7.71 | | | | | | (899) all_22_4 = e10 | all_22_9 = e10 % 49.21/7.71 | | | | | | % 49.21/7.71 | | | | | | BETA: splitting (891) gives: % 49.21/7.71 | | | | | | % 49.21/7.71 | | | | | | Case 1: % 49.21/7.71 | | | | | | | % 49.21/7.71 | | | | | | | (900) all_20_4 = e20 % 49.21/7.71 | | | | | | | % 49.21/7.71 | | | | | | | COMBINE_EQS: (879), (900) imply: % 49.21/7.71 | | | | | | | (901) e23 = e20 % 49.21/7.71 | | | | | | | % 49.21/7.71 | | | | | | | SIMP: (901) implies: % 49.21/7.71 | | | | | | | (902) e23 = e20 % 49.21/7.71 | | | | | | | % 49.21/7.71 | | | | | | | REDUCE: (11), (902) imply: % 49.21/7.71 | | | | | | | (903) $false % 49.21/7.71 | | | | | | | % 49.21/7.71 | | | | | | | CLOSE: (903) is inconsistent. % 49.21/7.71 | | | | | | | % 49.21/7.71 | | | | | | Case 2: % 49.21/7.71 | | | | | | | % 49.21/7.71 | | | | | | | (904) all_20_9 = e20 % 49.21/7.71 | | | | | | | % 49.21/7.71 | | | | | | | COMBINE_EQS: (526), (904) imply: % 49.21/7.71 | | | | | | | (905) all_14_12 = e20 % 49.21/7.71 | | | | | | | % 49.21/7.71 | | | | | | | SIMP: (905) implies: % 49.21/7.71 | | | | | | | (906) all_14_12 = e20 % 49.21/7.71 | | | | | | | % 49.21/7.71 | | | | | | | REDUCE: (121), (906) imply: % 49.21/7.71 | | | | | | | (907) ~ (all_14_13 = e20) % 49.21/7.71 | | | | | | | % 49.21/7.71 | | | | | | | SIMP: (907) implies: % 49.21/7.71 | | | | | | | (908) ~ (all_14_13 = e20) % 49.21/7.71 | | | | | | | % 49.21/7.71 | | | | | | | REDUCE: (120), (906) imply: % 49.21/7.71 | | | | | | | (909) ~ (all_14_14 = e20) % 49.21/7.71 | | | | | | | % 49.21/7.71 | | | | | | | SIMP: (909) implies: % 49.21/7.71 | | | | | | | (910) ~ (all_14_14 = e20) % 49.21/7.71 | | | | | | | % 49.21/7.71 | | | | | | | REDUCE: (780), (906) imply: % 49.21/7.71 | | | | | | | (911) ~ (all_10_1 = e20) % 49.21/7.71 | | | | | | | % 49.21/7.71 | | | | | | | SIMP: (911) implies: % 49.21/7.71 | | | | | | | (912) ~ (all_10_1 = e20) % 49.21/7.71 | | | | | | | % 49.21/7.71 | | | | | | | REDUCE: (884), (906) imply: % 49.21/7.71 | | | | | | | (913) ~ (e23 = e20) % 49.21/7.71 | | | | | | | % 49.21/7.71 | | | | | | | REDUCE: (760), (906) imply: % 49.21/7.71 | | | | | | | (914) ~ (e21 = e20) % 49.21/7.71 | | | | | | | % 49.21/7.71 | | | | | | | REDUCE: (850), (906) imply: % 49.21/7.71 | | | | | | | (915) op2(e23, e20) = all_24_3 % 49.21/7.71 | | | | | | | % 49.21/7.71 | | | | | | | REDUCE: (170), (906) imply: % 49.21/7.71 | | | | | | | (916) op2(e23, e20) = e20 % 49.21/7.71 | | | | | | | % 49.21/7.71 | | | | | | | BETA: splitting (200) gives: % 49.21/7.71 | | | | | | | % 49.21/7.71 | | | | | | | Case 1: % 49.21/7.71 | | | | | | | | % 49.21/7.71 | | | | | | | | (917) all_16_2 = e13 % 49.21/7.71 | | | | | | | | % 49.21/7.71 | | | | | | | | COMBINE_EQS: (654), (917) imply: % 49.21/7.71 | | | | | | | | (918) all_12_8 = e13 % 49.21/7.71 | | | | | | | | % 49.21/7.71 | | | | | | | | SIMP: (918) implies: % 49.21/7.71 | | | | | | | | (919) all_12_8 = e13 % 49.21/7.71 | | | | | | | | % 49.21/7.71 | | | | | | | | COMBINE_EQS: (557), (919) imply: % 49.21/7.71 | | | | | | | | (920) all_22_4 = e13 % 49.21/7.71 | | | | | | | | % 49.21/7.71 | | | | | | | | COMBINE_EQS: (730), (919) imply: % 49.21/7.71 | | | | | | | | (921) all_26_24 = e13 % 49.21/7.71 | | | | | | | | % 49.21/7.71 | | | | | | | | REDUCE: (69), (919) imply: % 49.21/7.71 | | | | | | | | (922) ~ (all_12_10 = e13) % 49.21/7.71 | | | | | | | | % 49.21/7.71 | | | | | | | | SIMP: (922) implies: % 49.21/7.71 | | | | | | | | (923) ~ (all_12_10 = e13) % 49.21/7.71 | | | | | | | | % 49.21/7.71 | | | | | | | | REDUCE: (68), (919) imply: % 49.21/7.71 | | | | | | | | (924) ~ (all_12_11 = e13) % 49.21/7.71 | | | | | | | | % 49.21/7.71 | | | | | | | | SIMP: (924) implies: % 49.21/7.71 | | | | | | | | (925) ~ (all_12_11 = e13) % 49.21/7.71 | | | | | | | | % 49.21/7.71 | | | | | | | | REDUCE: (67), (919) imply: % 49.21/7.71 | | | | | | | | (926) ~ (all_12_12 = e13) % 49.21/7.71 | | | | | | | | % 49.21/7.71 | | | | | | | | SIMP: (926) implies: % 49.21/7.71 | | | | | | | | (927) ~ (all_12_12 = e13) % 49.21/7.71 | | | | | | | | % 49.21/7.71 | | | | | | | | REDUCE: (790), (919) imply: % 49.21/7.71 | | | | | | | | (928) ~ (e13 = e12) % 49.21/7.71 | | | | | | | | % 49.21/7.71 | | | | | | | | REDUCE: (799), (919) imply: % 49.21/7.71 | | | | | | | | (929) ~ (e13 = e11) % 49.21/7.71 | | | | | | | | % 49.21/7.71 | | | | | | | | REDUCE: (803), (919) imply: % 49.21/7.71 | | | | | | | | (930) ~ (e13 = e10) % 49.21/7.71 | | | | | | | | % 49.21/7.71 | | | | | | | | REDUCE: (810), (919) imply: % 49.21/7.71 | | | | | | | | (931) h4(e13) = all_28_5 % 49.21/7.71 | | | | | | | | % 49.21/7.71 | | | | | | | | BETA: splitting (899) gives: % 49.21/7.71 | | | | | | | | % 49.21/7.71 | | | | | | | | Case 1: % 49.21/7.71 | | | | | | | | | % 49.21/7.71 | | | | | | | | | (932) all_22_4 = e10 % 49.21/7.71 | | | | | | | | | % 49.21/7.71 | | | | | | | | | COMBINE_EQS: (920), (932) imply: % 49.21/7.71 | | | | | | | | | (933) e13 = e10 % 49.21/7.71 | | | | | | | | | % 49.21/7.71 | | | | | | | | | REDUCE: (930), (933) imply: % 49.21/7.71 | | | | | | | | | (934) $false % 49.21/7.71 | | | | | | | | | % 49.21/7.71 | | | | | | | | | CLOSE: (934) is inconsistent. % 49.21/7.71 | | | | | | | | | % 49.21/7.71 | | | | | | | | Case 2: % 49.21/7.71 | | | | | | | | | % 49.21/7.71 | | | | | | | | | (935) all_22_9 = e10 % 49.21/7.71 | | | | | | | | | % 49.21/7.71 | | | | | | | | | COMBINE_EQS: (609), (935) imply: % 49.21/7.71 | | | | | | | | | (936) all_12_12 = e10 % 49.21/7.71 | | | | | | | | | % 49.21/7.71 | | | | | | | | | SIMP: (936) implies: % 49.21/7.71 | | | | | | | | | (937) all_12_12 = e10 % 49.21/7.71 | | | | | | | | | % 49.21/7.71 | | | | | | | | | REDUCE: (61), (937) imply: % 49.21/7.71 | | | | | | | | | (938) ~ (all_12_14 = e10) % 49.21/7.71 | | | | | | | | | % 49.21/7.71 | | | | | | | | | SIMP: (938) implies: % 49.21/7.71 | | | | | | | | | (939) ~ (all_12_14 = e10) % 49.21/7.71 | | | | | | | | | % 49.21/7.71 | | | | | | | | | REDUCE: (60), (937) imply: % 49.21/7.71 | | | | | | | | | (940) ~ (all_12_15 = e10) % 49.21/7.71 | | | | | | | | | % 49.21/7.71 | | | | | | | | | SIMP: (940) implies: % 49.21/7.71 | | | | | | | | | (941) ~ (all_12_15 = e10) % 49.21/7.71 | | | | | | | | | % 49.21/7.71 | | | | | | | | | REDUCE: (927), (937) imply: % 49.21/7.71 | | | | | | | | | (942) ~ (e13 = e10) % 49.21/7.71 | | | | | | | | | % 49.21/7.71 | | | | | | | | | REDUCE: (792), (937) imply: % 49.21/7.71 | | | | | | | | | (943) ~ (e12 = e10) % 49.21/7.71 | | | | | | | | | % 49.21/7.71 | | | | | | | | | REDUCE: (801), (937) imply: % 49.21/7.71 | | | | | | | | | (944) ~ (e11 = e10) % 49.21/7.71 | | | | | | | | | % 49.21/7.71 | | | | | | | | | REDUCE: (811), (937) imply: % 49.21/7.71 | | | | | | | | | (945) h4(e10) = all_28_7 % 49.21/7.71 | | | | | | | | | % 49.21/7.71 | | | | | | | | | GROUND_INST: instantiating (31) with all_12_13, all_26_6, e10, % 49.21/7.71 | | | | | | | | | e12, simplifying with (107), (866) gives: % 49.21/7.71 | | | | | | | | | (946) all_26_6 = all_12_13 % 49.21/7.71 | | | | | | | | | % 49.21/7.71 | | | | | | | | | GROUND_INST: instantiating (32) with all_10_1, all_28_108, e20, % 49.21/7.71 | | | | | | | | | e20, simplifying with (52), (845) gives: % 49.21/7.71 | | | | | | | | | (947) all_28_108 = all_10_1 % 49.21/7.71 | | | | | | | | | % 49.21/7.71 | | | | | | | | | GROUND_INST: instantiating (32) with all_10_0, all_28_111, % 49.21/7.71 | | | | | | | | | all_10_1, e20, simplifying with (53), (846) gives: % 49.21/7.71 | | | | | | | | | (948) all_28_111 = all_10_0 % 49.21/7.71 | | | | | | | | | % 49.21/7.71 | | | | | | | | | GROUND_INST: instantiating (32) with all_24_15, all_28_111, % 49.21/7.71 | | | | | | | | | all_10_1, e20, simplifying with (846), (863) % 49.21/7.71 | | | | | | | | | gives: % 49.21/7.71 | | | | | | | | | (949) all_28_111 = all_24_15 % 49.21/7.71 | | | | | | | | | % 49.21/7.71 | | | | | | | | | GROUND_INST: instantiating (32) with all_4_1, all_28_72, e21, % 49.21/7.71 | | | | | | | | | e21, simplifying with (34), (843) gives: % 49.21/7.71 | | | | | | | | | (950) all_28_72 = all_4_1 % 49.21/7.71 | | | | | | | | | % 49.21/7.71 | | | | | | | | | GROUND_INST: instantiating (32) with all_4_0, all_28_74, % 49.21/7.71 | | | | | | | | | all_4_1, e21, simplifying with (35), (844) gives: % 49.21/7.71 | | | | | | | | | (951) all_28_74 = all_4_0 % 49.21/7.71 | | | | | | | | | % 49.21/7.71 | | | | | | | | | GROUND_INST: instantiating (32) with all_24_10, all_28_74, % 49.21/7.71 | | | | | | | | | all_4_1, e21, simplifying with (844), (858) gives: % 49.21/7.71 | | | | | | | | | (952) all_28_74 = all_24_10 % 49.21/7.71 | | | | | | | | | % 49.21/7.71 | | | | | | | | | GROUND_INST: instantiating (32) with all_14_13, all_24_6, e20, % 49.21/7.71 | | | | | | | | | e22, simplifying with (166), (854) gives: % 49.21/7.71 | | | | | | | | | (953) all_24_6 = all_14_13 % 49.21/7.71 | | | | | | | | | % 49.21/7.71 | | | | | | | | | GROUND_INST: instantiating (32) with all_6_1, all_28_10, e22, % 49.21/7.71 | | | | | | | | | e22, simplifying with (39), (830) gives: % 49.21/7.71 | | | | | | | | | (954) all_28_10 = all_6_1 % 49.21/7.71 | | | | | | | | | % 49.21/7.71 | | | | | | | | | GROUND_INST: instantiating (32) with all_28_36, all_28_10, e22, % 49.21/7.71 | | | | | | | | | e22, simplifying with (830), (841) gives: % 49.21/7.71 | | | | | | | | | (955) all_28_10 = all_28_36 % 49.21/7.71 | | | | | | | | | % 49.21/7.71 | | | | | | | | | GROUND_INST: instantiating (32) with all_14_1, all_28_8, e23, % 49.21/7.71 | | | | | | | | | e22, simplifying with (169), (829) gives: % 49.21/7.71 | | | | | | | | | (956) all_28_8 = all_14_1 % 49.21/7.71 | | | | | | | | | % 49.21/7.71 | | | | | | | | | GROUND_INST: instantiating (32) with all_6_0, all_28_38, % 49.21/7.71 | | | | | | | | | all_6_1, e22, simplifying with (40), (842) gives: % 49.21/7.71 | | | | | | | | | (957) all_28_38 = all_6_0 % 49.21/7.71 | | | | | | | | | % 49.21/7.71 | | | | | | | | | GROUND_INST: instantiating (32) with all_24_5, all_28_38, % 49.21/7.71 | | | | | | | | | all_6_1, e22, simplifying with (842), (853) gives: % 49.21/7.71 | | | | | | | | | (958) all_28_38 = all_24_5 % 49.21/7.71 | | | | | | | | | % 49.21/7.71 | | | | | | | | | GROUND_INST: instantiating (32) with all_8_2, all_28_12, % 49.21/7.71 | | | | | | | | | all_8_0, e22, simplifying with (831), (847) gives: % 49.21/7.71 | | | | | | | | | (959) all_28_12 = all_8_2 % 49.21/7.71 | | | | | | | | | % 49.21/7.71 | | | | | | | | | GROUND_INST: instantiating (32) with e20, all_24_3, e20, e23, % 49.21/7.71 | | | | | | | | | simplifying with (915), (916) gives: % 49.21/7.71 | | | | | | | | | (960) all_24_3 = e20 % 49.21/7.71 | | | | | | | | | % 49.21/7.71 | | | | | | | | | GROUND_INST: instantiating (32) with e23, all_24_1, e21, e23, % 49.21/7.71 | | | | | | | | | simplifying with (849), (887) gives: % 49.21/7.71 | | | | | | | | | (961) all_24_1 = e23 % 49.21/7.71 | | | | | | | | | % 49.21/7.71 | | | | | | | | | GROUND_INST: instantiating (32) with all_8_0, all_24_0, e22, % 49.21/7.71 | | | | | | | | | e23, simplifying with (848), (851) gives: % 49.21/7.71 | | | | | | | | | (962) all_24_0 = all_8_0 % 49.21/7.71 | | | | | | | | | % 49.21/7.71 | | | | | | | | | GROUND_INST: instantiating (32) with e21, all_28_2, e22, e23, % 49.21/7.71 | | | | | | | | | simplifying with (20), (826) gives: % 49.21/7.71 | | | | | | | | | (963) all_28_2 = e21 % 49.21/7.71 | | | | | | | | | % 49.21/7.71 | | | | | | | | | GROUND_INST: instantiating (32) with all_24_0, all_28_2, e22, % 49.21/7.71 | | | | | | | | | e23, simplifying with (826), (848) gives: % 49.21/7.71 | | | | | | | | | (964) all_28_2 = all_24_0 % 49.21/7.71 | | | | | | | | | % 49.21/7.71 | | | | | | | | | GROUND_INST: instantiating (32) with e22, all_28_0, e23, e23, % 49.21/7.71 | | | | | | | | | simplifying with (21), (825) gives: % 49.21/7.71 | | | | | | | | | (965) all_28_0 = e22 % 49.21/7.71 | | | | | | | | | % 49.21/7.71 | | | | | | | | | GROUND_INST: instantiating (30) with all_8_2, all_28_7, e10, % 49.21/7.71 | | | | | | | | | simplifying with (47), (945) gives: % 49.21/7.71 | | | | | | | | | (966) all_28_7 = all_8_2 % 49.21/7.71 | | | | | | | | | % 49.21/7.71 | | | | | | | | | GROUND_INST: instantiating (30) with all_28_13, all_28_7, e10, % 49.21/7.71 | | | | | | | | | simplifying with (814), (945) gives: % 49.21/7.71 | | | | | | | | | (967) all_28_7 = all_28_13 % 49.21/7.71 | | | | | | | | | % 49.21/7.71 | | | | | | | | | GROUND_INST: instantiating (30) with all_8_0, all_28_3, e11, % 49.21/7.71 | | | | | | | | | simplifying with (48), (809) gives: % 49.21/7.71 | | | | | | | | | (968) all_28_3 = all_8_0 % 49.21/7.71 | | | | | | | | | % 49.21/7.71 | | | | | | | | | GROUND_INST: instantiating (30) with e22, all_28_1, e12, % 49.21/7.71 | | | | | | | | | simplifying with (808), (824) gives: % 49.21/7.71 | | | | | | | | | (969) all_28_1 = e22 % 49.21/7.71 | | | | | | | | | % 49.21/7.71 | | | | | | | | | GROUND_INST: instantiating (30) with e23, all_28_5, e13, % 49.21/7.71 | | | | | | | | | simplifying with (50), (931) gives: % 49.21/7.71 | | | | | | | | | (970) all_28_5 = e23 % 49.21/7.71 | | | | | | | | | % 49.21/7.71 | | | | | | | | | COMBINE_EQS: (963), (964) imply: % 49.21/7.71 | | | | | | | | | (971) all_24_0 = e21 % 49.21/7.71 | | | | | | | | | % 49.21/7.71 | | | | | | | | | SIMP: (971) implies: % 49.21/7.71 | | | | | | | | | (972) all_24_0 = e21 % 49.21/7.71 | | | | | | | | | % 49.21/7.71 | | | | | | | | | COMBINE_EQS: (966), (967) imply: % 49.21/7.71 | | | | | | | | | (973) all_28_13 = all_8_2 % 49.21/7.71 | | | | | | | | | % 49.21/7.71 | | | | | | | | | SIMP: (973) implies: % 49.21/7.71 | | | | | | | | | (974) all_28_13 = all_8_2 % 49.21/7.71 | | | | | | | | | % 49.21/7.71 | | | | | | | | | COMBINE_EQS: (954), (955) imply: % 49.21/7.71 | | | | | | | | | (975) all_28_36 = all_6_1 % 49.21/7.71 | | | | | | | | | % 49.21/7.71 | | | | | | | | | SIMP: (975) implies: % 49.21/7.71 | | | | | | | | | (976) all_28_36 = all_6_1 % 49.21/7.71 | | | | | | | | | % 49.21/7.71 | | | | | | | | | COMBINE_EQS: (957), (958) imply: % 49.21/7.71 | | | | | | | | | (977) all_24_5 = all_6_0 % 49.21/7.71 | | | | | | | | | % 49.21/7.71 | | | | | | | | | SIMP: (977) implies: % 49.21/7.71 | | | | | | | | | (978) all_24_5 = all_6_0 % 49.21/7.71 | | | | | | | | | % 49.21/7.71 | | | | | | | | | COMBINE_EQS: (951), (952) imply: % 49.21/7.71 | | | | | | | | | (979) all_24_10 = all_4_0 % 49.21/7.71 | | | | | | | | | % 49.21/7.71 | | | | | | | | | COMBINE_EQS: (948), (949) imply: % 49.21/7.71 | | | | | | | | | (980) all_24_15 = all_10_0 % 49.21/7.71 | | | | | | | | | % 49.21/7.71 | | | | | | | | | SIMP: (980) implies: % 49.21/7.71 | | | | | | | | | (981) all_24_15 = all_10_0 % 49.21/7.71 | | | | | | | | | % 49.21/7.71 | | | | | | | | | COMBINE_EQS: (962), (972) imply: % 49.21/7.71 | | | | | | | | | (982) all_8_0 = e21 % 49.21/7.71 | | | | | | | | | % 49.21/7.71 | | | | | | | | | SIMP: (982) implies: % 49.21/7.71 | | | | | | | | | (983) all_8_0 = e21 % 49.21/7.71 | | | | | | | | | % 49.21/7.71 | | | | | | | | | COMBINE_EQS: (548), (983) imply: % 49.21/7.71 | | | | | | | | | (984) all_28_31 = e21 % 49.21/7.71 | | | | | | | | | % 49.21/7.71 | | | | | | | | | COMBINE_EQS: (968), (983) imply: % 49.21/7.71 | | | | | | | | | (985) all_28_3 = e21 % 49.21/7.71 | | | | | | | | | % 49.21/7.71 | | | | | | | | | REDUCE: (48), (983) imply: % 49.21/7.72 | | | | | | | | | (986) h4(e11) = e21 % 49.21/7.72 | | | | | | | | | % 49.21/7.72 | | | | | | | | | REDUCE: (835), (983) imply: % 49.21/7.72 | | | | | | | | | (987) op2(e21, e21) = all_28_20 % 49.21/7.72 | | | | | | | | | % 49.21/7.72 | | | | | | | | | REDUCE: (836), (983) imply: % 49.21/7.72 | | | | | | | | | (988) op2(e21, all_8_2) = all_28_22 % 49.21/7.72 | | | | | | | | | % 49.21/7.72 | | | | | | | | | REDUCE: (833), (983) imply: % 49.21/7.72 | | | | | | | | | (989) op2(e21, e23) = all_28_16 % 49.21/7.72 | | | | | | | | | % 49.21/7.72 | | | | | | | | | REDUCE: (834), (983) imply: % 49.21/7.72 | | | | | | | | | (990) op2(e21, e22) = all_28_18 % 49.21/7.72 | | | | | | | | | % 49.21/7.72 | | | | | | | | | REDUCE: (839), (983) imply: % 49.21/7.72 | | | | | | | | | (991) op2(all_8_2, e21) = all_28_30 % 49.21/7.72 | | | | | | | | | % 49.21/7.72 | | | | | | | | | REDUCE: (827), (983) imply: % 49.21/7.72 | | | | | | | | | (992) op2(e23, e21) = all_28_4 % 49.21/7.72 | | | | | | | | | % 49.21/7.72 | | | | | | | | | REDUCE: (847), (983) imply: % 49.21/7.72 | | | | | | | | | (993) op2(e22, e21) = all_8_2 % 49.21/7.72 | | | | | | | | | % 49.21/7.72 | | | | | | | | | GROUND_INST: instantiating (32) with all_4_1, all_28_20, e21, % 49.21/7.72 | | | | | | | | | e21, simplifying with (34), (987) gives: % 49.21/7.72 | | | | | | | | | (994) all_28_20 = all_4_1 % 49.21/7.72 | | | | | | | | | % 49.21/7.72 | | | | | | | | | GROUND_INST: instantiating (32) with all_14_6, all_28_18, e22, % 49.21/7.72 | | | | | | | | | e21, simplifying with (164), (990) gives: % 49.21/7.72 | | | | | | | | | (995) all_28_18 = all_14_6 % 49.21/7.72 | | | | | | | | | % 49.21/7.72 | | | | | | | | | GROUND_INST: instantiating (32) with all_14_2, all_28_16, e23, % 49.21/7.72 | | | | | | | | | e21, simplifying with (165), (989) gives: % 49.21/7.72 | | | | | | | | | (996) all_28_16 = all_14_2 % 49.21/7.72 | | | | | | | | | % 49.21/7.72 | | | | | | | | | GROUND_INST: instantiating (32) with e20, all_8_2, e21, e22, % 49.21/7.72 | | | | | | | | | simplifying with (19), (993) gives: % 49.21/7.72 | | | | | | | | | (997) all_8_2 = e20 % 49.21/7.72 | | | | | | | | | % 49.21/7.72 | | | | | | | | | GROUND_INST: instantiating (32) with e23, all_28_4, e21, e23, % 49.21/7.72 | | | | | | | | | simplifying with (887), (992) gives: % 49.21/7.72 | | | | | | | | | (998) all_28_4 = e23 % 49.21/7.72 | | | | | | | | | % 49.21/7.72 | | | | | | | | | COMBINE_EQS: (547), (997) imply: % 49.21/7.72 | | | | | | | | | (999) all_28_34 = e20 % 49.21/7.72 | | | | | | | | | % 49.21/7.72 | | | | | | | | | COMBINE_EQS: (974), (997) imply: % 49.21/7.72 | | | | | | | | | (1000) all_28_13 = e20 % 49.21/7.72 | | | | | | | | | % 49.21/7.72 | | | | | | | | | COMBINE_EQS: (959), (997) imply: % 49.21/7.72 | | | | | | | | | (1001) all_28_12 = e20 % 49.21/7.72 | | | | | | | | | % 49.21/7.72 | | | | | | | | | COMBINE_EQS: (966), (997) imply: % 49.21/7.72 | | | | | | | | | (1002) all_28_7 = e20 % 49.21/7.72 | | | | | | | | | % 49.21/7.72 | | | | | | | | | REDUCE: (47), (997) imply: % 49.21/7.72 | | | | | | | | | (1003) h4(e10) = e20 % 49.21/7.72 | | | | | | | | | % 49.21/7.72 | | | | | | | | | REDUCE: (840), (997) imply: % 49.21/7.72 | | | | | | | | | (1004) op2(e20, e20) = all_28_33 % 49.21/7.72 | | | | | | | | | % 49.21/7.72 | | | | | | | | | REDUCE: (837), (997) imply: % 49.21/7.72 | | | | | | | | | (1005) op2(e20, e23) = all_28_24 % 49.21/7.72 | | | | | | | | | % 49.21/7.72 | | | | | | | | | REDUCE: (838), (997) imply: % 49.21/7.72 | | | | | | | | | (1006) op2(e20, e22) = all_28_27 % 49.21/7.72 | | | | | | | | | % 49.21/7.72 | | | | | | | | | REDUCE: (991), (997) imply: % 49.21/7.72 | | | | | | | | | (1007) op2(e20, e21) = all_28_30 % 49.21/7.72 | | | | | | | | | % 49.21/7.72 | | | | | | | | | REDUCE: (828), (997) imply: % 49.21/7.72 | | | | | | | | | (1008) op2(e23, e20) = all_28_6 % 49.21/7.72 | | | | | | | | | % 49.21/7.72 | | | | | | | | | REDUCE: (832), (997) imply: % 49.21/7.72 | | | | | | | | | (1009) op2(e22, e20) = all_28_14 % 49.21/7.72 | | | | | | | | | % 49.21/7.72 | | | | | | | | | REDUCE: (988), (997) imply: % 49.21/7.72 | | | | | | | | | (1010) op2(e21, e20) = all_28_22 % 49.21/7.72 | | | | | | | | | % 49.21/7.72 | | | | | | | | | GROUND_INST: instantiating (32) with all_10_1, all_28_33, e20, % 49.21/7.72 | | | | | | | | | e20, simplifying with (52), (1004) gives: % 49.21/7.72 | | | | | | | | | (1011) all_28_33 = all_10_1 % 49.21/7.72 | | | | | | | | | % 49.21/7.72 | | | | | | | | | GROUND_INST: instantiating (32) with all_14_11, all_28_30, e21, % 49.21/7.72 | | | | | | | | | e20, simplifying with (159), (1007) gives: % 49.21/7.72 | | | | | | | | | (1012) all_28_30 = all_14_11 % 49.21/7.72 | | | | | | | | | % 49.21/7.72 | | | | | | | | | GROUND_INST: instantiating (32) with all_14_7, all_28_27, e22, % 49.21/7.72 | | | | | | | | | e20, simplifying with (160), (1006) gives: % 49.21/7.72 | | | | | | | | | (1013) all_28_27 = all_14_7 % 49.21/7.72 | | | | | | | | | % 49.21/7.72 | | | | | | | | | GROUND_INST: instantiating (32) with all_14_3, all_28_24, e23, % 49.21/7.72 | | | | | | | | | e20, simplifying with (161), (1005) gives: % 49.21/7.72 | | | | | | | | | (1014) all_28_24 = all_14_3 % 49.21/7.72 | | | | | | | | | % 49.21/7.72 | | | | | | | | | GROUND_INST: instantiating (32) with all_14_14, all_28_22, e20, % 49.21/7.72 | | | | | | | | | e21, simplifying with (162), (1010) gives: % 49.21/7.72 | | | | | | | | | (1015) all_28_22 = all_14_14 % 49.21/7.72 | | | | | | | | | % 49.21/7.72 | | | | | | | | | GROUND_INST: instantiating (32) with all_14_13, all_28_14, e20, % 49.21/7.72 | | | | | | | | | e22, simplifying with (166), (1009) gives: % 49.21/7.72 | | | | | | | | | (1016) all_28_14 = all_14_13 % 49.21/7.72 | | | | | | | | | % 49.21/7.72 | | | | | | | | | GROUND_INST: instantiating (32) with e20, all_28_6, e20, e23, % 49.21/7.72 | | | | | | | | | simplifying with (916), (1008) gives: % 49.21/7.72 | | | | | | | | | (1017) all_28_6 = e20 % 49.21/7.72 | | | | | | | | | % 49.21/7.72 | | | | | | | | | BETA: splitting (247) gives: % 49.21/7.72 | | | | | | | | | % 49.21/7.72 | | | | | | | | | Case 1: % 49.21/7.72 | | | | | | | | | | % 49.21/7.72 | | | | | | | | | | (1018) all_20_15 = e20 % 49.21/7.72 | | | | | | | | | | % 49.21/7.72 | | | | | | | | | | COMBINE_EQS: (487), (1018) imply: % 49.21/7.72 | | | | | | | | | | (1019) all_10_1 = e20 % 49.21/7.72 | | | | | | | | | | % 49.21/7.72 | | | | | | | | | | REDUCE: (912), (1019) imply: % 49.21/7.72 | | | | | | | | | | (1020) $false % 49.21/7.72 | | | | | | | | | | % 49.21/7.72 | | | | | | | | | | CLOSE: (1020) is inconsistent. % 49.21/7.72 | | | | | | | | | | % 49.21/7.72 | | | | | | | | | Case 2: % 49.21/7.72 | | | | | | | | | | % 49.21/7.72 | | | | | | | | | | (1021) ~ (all_20_15 = e20) % 49.21/7.72 | | | | | | | | | | (1022) (all_20_9 = e20 | all_20_10 = e20 | all_20_11 = % 49.21/7.72 | | | | | | | | | | e20) & (all_20_12 = e20 | all_20_13 = e20 | % 49.21/7.72 | | | | | | | | | | all_20_14 = e20) % 49.21/7.72 | | | | | | | | | | % 49.21/7.72 | | | | | | | | | | ALPHA: (1022) implies: % 49.21/7.72 | | | | | | | | | | (1023) all_20_12 = e20 | all_20_13 = e20 | all_20_14 = % 49.21/7.72 | | | | | | | | | | e20 % 49.21/7.72 | | | | | | | | | | % 49.21/7.72 | | | | | | | | | | BETA: splitting (198) gives: % 49.21/7.72 | | | | | | | | | | % 49.21/7.72 | | | | | | | | | | Case 1: % 49.21/7.72 | | | | | | | | | | | % 49.21/7.72 | | | | | | | | | | | (1024) all_16_5 = e13 % 49.21/7.72 | | | | | | | | | | | % 49.21/7.72 | | | | | | | | | | | COMBINE_EQS: (653), (1024) imply: % 49.21/7.72 | | | | | | | | | | | (1025) all_12_5 = e13 % 49.21/7.72 | | | | | | | | | | | % 49.21/7.72 | | | | | | | | | | | SIMP: (1025) implies: % 49.21/7.72 | | | | | | | | | | | (1026) all_12_5 = e13 % 49.21/7.72 | | | | | | | | | | | % 49.21/7.72 | | | | | | | | | | | COMBINE_EQS: (461), (1026) imply: % 49.21/7.72 | | | | | | | | | | | (1027) all_22_3 = e13 % 49.21/7.72 | | | | | | | | | | | % 49.21/7.72 | | | | | | | | | | | REDUCE: (91), (1026) imply: % 49.21/7.72 | | | | | | | | | | | (1028) ~ (all_12_1 = e13) % 49.21/7.72 | | | | | | | | | | | % 49.21/7.72 | | | | | | | | | | | REDUCE: (865), (1026) imply: % 49.34/7.72 | | | | | | | | | | | (1029) op1(e12, e13) = all_26_5 % 49.34/7.72 | | | | | | | | | | | % 49.34/7.72 | | | | | | | | | | | REDUCE: (109), (1026) imply: % 49.34/7.72 | | | | | | | | | | | (1030) op1(e12, e12) = e13 % 49.34/7.72 | | | | | | | | | | | % 49.34/7.72 | | | | | | | | | | | BETA: splitting (199) gives: % 49.34/7.72 | | | | | | | | | | | % 49.34/7.72 | | | | | | | | | | | Case 1: % 49.34/7.72 | | | | | | | | | | | | % 49.34/7.72 | | | | | | | | | | | | (1031) all_16_4 = e13 % 49.34/7.72 | | | | | | | | | | | | % 49.34/7.72 | | | | | | | | | | | | COMBINE_EQS: (652), (1031) imply: % 49.34/7.72 | | | | | | | | | | | | (1032) all_12_1 = e13 % 49.34/7.72 | | | | | | | | | | | | % 49.34/7.72 | | | | | | | | | | | | REDUCE: (1028), (1032) imply: % 49.34/7.72 | | | | | | | | | | | | (1033) $false % 49.34/7.72 | | | | | | | | | | | | % 49.34/7.72 | | | | | | | | | | | | CLOSE: (1033) is inconsistent. % 49.34/7.72 | | | | | | | | | | | | % 49.34/7.72 | | | | | | | | | | | Case 2: % 49.34/7.72 | | | | | | | | | | | | % 49.34/7.72 | | | | | | | | | | | | (1034) all_16_4 = e12 | all_16_4 = e11 | all_16_4 = e10 % 49.34/7.72 | | | | | | | | | | | | % 49.34/7.72 | | | | | | | | | | | | BETA: splitting (1034) gives: % 49.34/7.72 | | | | | | | | | | | | % 49.34/7.72 | | | | | | | | | | | | Case 1: % 49.34/7.72 | | | | | | | | | | | | | % 49.34/7.72 | | | | | | | | | | | | | (1035) all_16_4 = e12 % 49.34/7.72 | | | | | | | | | | | | | % 49.34/7.72 | | | | | | | | | | | | | COMBINE_EQS: (652), (1035) imply: % 49.34/7.72 | | | | | | | | | | | | | (1036) all_12_1 = e12 % 49.34/7.72 | | | | | | | | | | | | | % 49.34/7.72 | | | | | | | | | | | | | REDUCE: (784), (1036) imply: % 49.34/7.72 | | | | | | | | | | | | | (1037) $false % 49.34/7.72 | | | | | | | | | | | | | % 49.34/7.72 | | | | | | | | | | | | | CLOSE: (1037) is inconsistent. % 49.34/7.72 | | | | | | | | | | | | | % 49.34/7.72 | | | | | | | | | | | | Case 2: % 49.34/7.72 | | | | | | | | | | | | | % 49.34/7.72 | | | | | | | | | | | | | (1038) ~ (all_16_4 = e12) % 49.34/7.72 | | | | | | | | | | | | | (1039) all_16_4 = e11 | all_16_4 = e10 % 49.34/7.72 | | | | | | | | | | | | | % 49.34/7.72 | | | | | | | | | | | | | BETA: splitting (281) gives: % 49.34/7.72 | | | | | | | | | | | | | % 49.34/7.72 | | | | | | | | | | | | | Case 1: % 49.34/7.72 | | | | | | | | | | | | | | % 49.34/7.72 | | | | | | | | | | | | | | (1040) all_22_2 = e12 % 49.34/7.72 | | | | | | | | | | | | | | % 49.34/7.72 | | | | | | | | | | | | | | COMBINE_EQS: (588), (1040) imply: % 49.34/7.72 | | | | | | | | | | | | | | (1041) all_12_1 = e12 % 49.34/7.72 | | | | | | | | | | | | | | % 49.34/7.72 | | | | | | | | | | | | | | SIMP: (1041) implies: % 49.34/7.72 | | | | | | | | | | | | | | (1042) all_12_1 = e12 % 49.34/7.72 | | | | | | | | | | | | | | % 49.34/7.72 | | | | | | | | | | | | | | REDUCE: (784), (1042) imply: % 49.34/7.72 | | | | | | | | | | | | | | (1043) $false % 49.34/7.72 | | | | | | | | | | | | | | % 49.34/7.72 | | | | | | | | | | | | | | CLOSE: (1043) is inconsistent. % 49.34/7.72 | | | | | | | | | | | | | | % 49.34/7.72 | | | | | | | | | | | | | Case 2: % 49.34/7.72 | | | | | | | | | | | | | | % 49.34/7.72 | | | | | | | | | | | | | | (1044) all_22_3 = e12 | all_22_5 = e12 | all_22_10 = e12 % 49.34/7.72 | | | | | | | | | | | | | | % 49.34/7.72 | | | | | | | | | | | | | | BETA: splitting (1044) gives: % 49.34/7.72 | | | | | | | | | | | | | | % 49.34/7.72 | | | | | | | | | | | | | | Case 1: % 49.34/7.72 | | | | | | | | | | | | | | | % 49.34/7.72 | | | | | | | | | | | | | | | (1045) all_22_3 = e12 % 49.34/7.72 | | | | | | | | | | | | | | | % 49.34/7.72 | | | | | | | | | | | | | | | COMBINE_EQS: (1027), (1045) imply: % 49.34/7.72 | | | | | | | | | | | | | | | (1046) e13 = e12 % 49.34/7.72 | | | | | | | | | | | | | | | % 49.34/7.72 | | | | | | | | | | | | | | | SIMP: (1046) implies: % 49.34/7.72 | | | | | | | | | | | | | | | (1047) e13 = e12 % 49.34/7.72 | | | | | | | | | | | | | | | % 49.34/7.72 | | | | | | | | | | | | | | | REDUCE: (928), (1047) imply: % 49.34/7.72 | | | | | | | | | | | | | | | (1048) $false % 49.34/7.72 | | | | | | | | | | | | | | | % 49.34/7.72 | | | | | | | | | | | | | | | CLOSE: (1048) is inconsistent. % 49.34/7.72 | | | | | | | | | | | | | | | % 49.34/7.72 | | | | | | | | | | | | | | Case 2: % 49.34/7.72 | | | | | | | | | | | | | | | % 49.34/7.72 | | | | | | | | | | | | | | | (1049) all_22_5 = e12 | all_22_10 = e12 % 49.34/7.72 | | | | | | | | | | | | | | | % 49.34/7.72 | | | | | | | | | | | | | | | BETA: splitting (1049) gives: % 49.34/7.72 | | | | | | | | | | | | | | | % 49.34/7.72 | | | | | | | | | | | | | | | Case 1: % 49.34/7.72 | | | | | | | | | | | | | | | | % 49.34/7.72 | | | | | | | | | | | | | | | | (1050) all_22_5 = e12 % 49.34/7.72 | | | | | | | | | | | | | | | | % 49.34/7.72 | | | | | | | | | | | | | | | | COMBINE_EQS: (717), (1050) imply: % 49.34/7.72 | | | | | | | | | | | | | | | | (1051) e12 = e10 % 49.34/7.72 | | | | | | | | | | | | | | | | % 49.34/7.72 | | | | | | | | | | | | | | | | REDUCE: (8), (1051) imply: % 49.34/7.72 | | | | | | | | | | | | | | | | (1052) $false % 49.34/7.72 | | | | | | | | | | | | | | | | % 49.34/7.72 | | | | | | | | | | | | | | | | CLOSE: (1052) is inconsistent. % 49.34/7.72 | | | | | | | | | | | | | | | | % 49.34/7.72 | | | | | | | | | | | | | | | Case 2: % 49.34/7.72 | | | | | | | | | | | | | | | | % 49.34/7.72 | | | | | | | | | | | | | | | | (1053) all_22_10 = e12 % 49.34/7.72 | | | | | | | | | | | | | | | | % 49.34/7.72 | | | | | | | | | | | | | | | | COMBINE_EQS: (611), (1053) imply: % 49.34/7.72 | | | | | | | | | | | | | | | | (1054) all_12_13 = e12 % 49.34/7.72 | | | | | | | | | | | | | | | | % 49.34/7.72 | | | | | | | | | | | | | | | | SIMP: (1054) implies: % 49.34/7.72 | | | | | | | | | | | | | | | | (1055) all_12_13 = e12 % 49.34/7.72 | | | | | | | | | | | | | | | | % 49.34/7.72 | | | | | | | | | | | | | | | | COMBINE_EQS: (946), (1055) imply: % 49.34/7.72 | | | | | | | | | | | | | | | | (1056) all_26_6 = e12 % 49.34/7.72 | | | | | | | | | | | | | | | | % 49.34/7.72 | | | | | | | | | | | | | | | | REDUCE: (867), (1055) imply: % 49.34/7.72 | | | | | | | | | | | | | | | | (1057) op1(e12, e12) = all_26_7 % 49.34/7.72 | | | | | | | | | | | | | | | | % 49.34/7.72 | | | | | | | | | | | | | | | | BETA: splitting (1039) gives: % 49.34/7.72 | | | | | | | | | | | | | | | | % 49.34/7.72 | | | | | | | | | | | | | | | | Case 1: % 49.34/7.72 | | | | | | | | | | | | | | | | | % 49.34/7.72 | | | | | | | | | | | | | | | | | (1058) all_16_4 = e11 % 49.34/7.72 | | | | | | | | | | | | | | | | | % 49.34/7.72 | | | | | | | | | | | | | | | | | COMBINE_EQS: (652), (1058) imply: % 49.34/7.72 | | | | | | | | | | | | | | | | | (1059) all_12_1 = e11 % 49.34/7.72 | | | | | | | | | | | | | | | | | % 49.34/7.72 | | | | | | | | | | | | | | | | | REDUCE: (784), (1059) imply: % 49.34/7.72 | | | | | | | | | | | | | | | | | (1060) ~ (e12 = e11) % 49.34/7.72 | | | | | | | | | | | | | | | | | % 49.34/7.72 | | | | | | | | | | | | | | | | | SIMP: (1060) implies: % 49.34/7.72 | | | | | | | | | | | | | | | | | (1061) ~ (e12 = e11) % 49.34/7.72 | | | | | | | | | | | | | | | | | % 49.34/7.72 | | | | | | | | | | | | | | | | | REDUCE: (864), (1059) imply: % 49.34/7.72 | | | | | | | | | | | | | | | | | (1062) op1(e12, e11) = all_26_4 % 49.34/7.72 | | | | | | | | | | | | | | | | | % 49.34/7.72 | | | | | | | | | | | | | | | | | REDUCE: (110), (1059) imply: % 49.34/7.72 | | | | | | | | | | | | | | | | | (1063) op1(e12, e13) = e11 % 49.34/7.72 | | | | | | | | | | | | | | | | | % 49.34/7.72 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with e10, all_26_4, e11, e12, % 49.34/7.72 | | | | | | | | | | | | | | | | | simplifying with (16), (1062) gives: % 49.34/7.72 | | | | | | | | | | | | | | | | | (1064) all_26_4 = e10 % 49.34/7.72 | | | | | | | | | | | | | | | | | % 49.34/7.72 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with e13, all_26_7, e12, e12, % 49.34/7.72 | | | | | | | | | | | | | | | | | simplifying with (1030), (1057) gives: % 49.34/7.72 | | | | | | | | | | | | | | | | | (1065) all_26_7 = e13 % 49.34/7.72 | | | | | | | | | | | | | | | | | % 49.34/7.72 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with e11, all_26_5, e13, e12, % 49.34/7.72 | | | | | | | | | | | | | | | | | simplifying with (1029), (1063) gives: % 49.34/7.73 | | | | | | | | | | | | | | | | | (1066) all_26_5 = e11 % 49.34/7.73 | | | | | | | | | | | | | | | | | % 49.34/7.73 | | | | | | | | | | | | | | | | | BETA: splitting (353) gives: % 49.34/7.73 | | | | | | | | | | | | | | | | | % 49.34/7.73 | | | | | | | | | | | | | | | | | Case 1: % 49.34/7.73 | | | | | | | | | | | | | | | | | | % 49.34/7.73 | | | | | | | | | | | | | | | | | | (1067) all_26_4 = e13 % 49.34/7.73 | | | | | | | | | | | | | | | | | | % 49.34/7.73 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1064), (1067) imply: % 49.34/7.73 | | | | | | | | | | | | | | | | | | (1068) e13 = e10 % 49.34/7.73 | | | | | | | | | | | | | | | | | | % 49.34/7.73 | | | | | | | | | | | | | | | | | | SIMP: (1068) implies: % 49.34/7.73 | | | | | | | | | | | | | | | | | | (1069) e13 = e10 % 49.34/7.73 | | | | | | | | | | | | | | | | | | % 49.34/7.73 | | | | | | | | | | | | | | | | | | REDUCE: (930), (1069) imply: % 49.34/7.73 | | | | | | | | | | | | | | | | | | (1070) $false % 49.34/7.73 | | | | | | | | | | | | | | | | | | % 49.34/7.73 | | | | | | | | | | | | | | | | | | CLOSE: (1070) is inconsistent. % 49.34/7.73 | | | | | | | | | | | | | | | | | | % 49.34/7.73 | | | | | | | | | | | | | | | | | Case 2: % 49.34/7.73 | | | | | | | | | | | | | | | | | | % 49.34/7.73 | | | | | | | | | | | | | | | | | | (1071) ~ (all_26_4 = e13) % 49.34/7.73 | | | | | | | | | | | | | | | | | | (1072) all_26_5 = e12 | all_26_6 = e11 | all_26_7 = e10 % 49.34/7.73 | | | | | | | | | | | | | | | | | | % 49.34/7.73 | | | | | | | | | | | | | | | | | | BETA: splitting (1072) gives: % 49.34/7.73 | | | | | | | | | | | | | | | | | | % 49.34/7.73 | | | | | | | | | | | | | | | | | | Case 1: % 49.34/7.73 | | | | | | | | | | | | | | | | | | | % 49.34/7.73 | | | | | | | | | | | | | | | | | | | (1073) all_26_5 = e12 % 49.34/7.73 | | | | | | | | | | | | | | | | | | | % 49.34/7.73 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1066), (1073) imply: % 49.34/7.73 | | | | | | | | | | | | | | | | | | | (1074) e12 = e11 % 49.34/7.73 | | | | | | | | | | | | | | | | | | | % 49.34/7.73 | | | | | | | | | | | | | | | | | | | SIMP: (1074) implies: % 49.34/7.73 | | | | | | | | | | | | | | | | | | | (1075) e12 = e11 % 49.34/7.73 | | | | | | | | | | | | | | | | | | | % 49.34/7.73 | | | | | | | | | | | | | | | | | | | REDUCE: (1061), (1075) imply: % 49.34/7.73 | | | | | | | | | | | | | | | | | | | (1076) $false % 49.34/7.73 | | | | | | | | | | | | | | | | | | | % 49.34/7.73 | | | | | | | | | | | | | | | | | | | CLOSE: (1076) is inconsistent. % 49.34/7.73 | | | | | | | | | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | | | | | | | | Case 2: % 49.37/7.73 | | | | | | | | | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | | | | | | | | | (1077) ~ (all_26_5 = e12) % 49.37/7.73 | | | | | | | | | | | | | | | | | | | (1078) all_26_6 = e11 | all_26_7 = e10 % 49.37/7.73 | | | | | | | | | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | | | | | | | | | BETA: splitting (1078) gives: % 49.37/7.73 | | | | | | | | | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | | | | | | | | | Case 1: % 49.37/7.73 | | | | | | | | | | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | | | | | | | | | | (1079) all_26_6 = e11 % 49.37/7.73 | | | | | | | | | | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1056), (1079) imply: % 49.37/7.73 | | | | | | | | | | | | | | | | | | | | (1080) e12 = e11 % 49.37/7.73 | | | | | | | | | | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | | | | | | | | | | REDUCE: (1061), (1080) imply: % 49.37/7.73 | | | | | | | | | | | | | | | | | | | | (1081) $false % 49.37/7.73 | | | | | | | | | | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | | | | | | | | | | CLOSE: (1081) is inconsistent. % 49.37/7.73 | | | | | | | | | | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | | | | | | | | | Case 2: % 49.37/7.73 | | | | | | | | | | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | | | | | | | | | | (1082) all_26_7 = e10 % 49.37/7.73 | | | | | | | | | | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1065), (1082) imply: % 49.37/7.73 | | | | | | | | | | | | | | | | | | | | (1083) e13 = e10 % 49.37/7.73 | | | | | | | | | | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | | | | | | | | | | REDUCE: (930), (1083) imply: % 49.37/7.73 | | | | | | | | | | | | | | | | | | | | (1084) $false % 49.37/7.73 | | | | | | | | | | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | | | | | | | | | | CLOSE: (1084) is inconsistent. % 49.37/7.73 | | | | | | | | | | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | | | | | | | | | End of split % 49.37/7.73 | | | | | | | | | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | | | | | | | | End of split % 49.37/7.73 | | | | | | | | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | | | | | | | End of split % 49.37/7.73 | | | | | | | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | | | | | | Case 2: % 49.37/7.73 | | | | | | | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | | | | | | | (1085) all_16_4 = e10 % 49.37/7.73 | | | | | | | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | | | | | | | COMBINE_EQS: (652), (1085) imply: % 49.37/7.73 | | | | | | | | | | | | | | | | | (1086) all_12_1 = e10 % 49.37/7.73 | | | | | | | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | | | | | | | REDUCE: (793), (1086) imply: % 49.37/7.73 | | | | | | | | | | | | | | | | | (1087) $false % 49.37/7.73 | | | | | | | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | | | | | | | CLOSE: (1087) is inconsistent. % 49.37/7.73 | | | | | | | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | | | | | | End of split % 49.37/7.73 | | | | | | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | | | | | End of split % 49.37/7.73 | | | | | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | | | | End of split % 49.37/7.73 | | | | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | | | End of split % 49.37/7.73 | | | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | | End of split % 49.37/7.73 | | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | End of split % 49.37/7.73 | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | Case 2: % 49.37/7.73 | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | (1088) ~ (all_16_5 = e13) % 49.37/7.73 | | | | | | | | | | | (1089) all_16_5 = e12 | all_16_5 = e11 | all_16_5 = e10 % 49.37/7.73 | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | REDUCE: (653), (1088) imply: % 49.37/7.73 | | | | | | | | | | | (1090) ~ (all_12_5 = e13) % 49.37/7.73 | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | BETA: splitting (1089) gives: % 49.37/7.73 | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | Case 1: % 49.37/7.73 | | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | | (1091) all_16_5 = e12 % 49.37/7.73 | | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | | COMBINE_EQS: (653), (1091) imply: % 49.37/7.73 | | | | | | | | | | | | (1092) all_12_5 = e12 % 49.37/7.73 | | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | | SIMP: (1092) implies: % 49.37/7.73 | | | | | | | | | | | | (1093) all_12_5 = e12 % 49.37/7.73 | | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | | COMBINE_EQS: (461), (1093) imply: % 49.37/7.73 | | | | | | | | | | | | (1094) all_22_3 = e12 % 49.37/7.73 | | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | | COMBINE_EQS: (731), (1093) imply: % 49.37/7.73 | | | | | | | | | | | | (1095) all_26_21 = e12 % 49.37/7.73 | | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | | REDUCE: (77), (1093) imply: % 49.37/7.73 | | | | | | | | | | | | (1096) ~ (all_12_6 = e12) % 49.37/7.73 | | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | | SIMP: (1096) implies: % 49.37/7.73 | | | | | | | | | | | | (1097) ~ (all_12_6 = e12) % 49.37/7.73 | | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | | REDUCE: (76), (1093) imply: % 49.37/7.73 | | | | | | | | | | | | (1098) ~ (all_12_7 = e12) % 49.37/7.73 | | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | | SIMP: (1098) implies: % 49.37/7.73 | | | | | | | | | | | | (1099) ~ (all_12_7 = e12) % 49.37/7.73 | | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | | REDUCE: (1090), (1093) imply: % 49.37/7.73 | | | | | | | | | | | | (1100) ~ (e13 = e12) % 49.37/7.73 | | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | | REDUCE: (795), (1093) imply: % 49.37/7.73 | | | | | | | | | | | | (1101) ~ (e12 = e11) % 49.37/7.73 | | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | | REDUCE: (813), (1093) imply: % 49.37/7.73 | | | | | | | | | | | | (1102) h4(e12) = all_28_11 % 49.37/7.73 | | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | | GROUND_INST: instantiating (30) with e22, all_28_11, e12, % 49.37/7.73 | | | | | | | | | | | | simplifying with (824), (1102) gives: % 49.37/7.73 | | | | | | | | | | | | (1103) all_28_11 = e22 % 49.37/7.73 | | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | | BETA: splitting (191) gives: % 49.37/7.73 | | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | | Case 1: % 49.37/7.73 | | | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | | | (1104) all_16_14 = e13 % 49.37/7.73 | | | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | | | COMBINE_EQS: (671), (1104) imply: % 49.37/7.73 | | | | | | | | | | | | | (1105) all_12_11 = e13 % 49.37/7.73 | | | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | | | SIMP: (1105) implies: % 49.37/7.73 | | | | | | | | | | | | | (1106) all_12_11 = e13 % 49.37/7.73 | | | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | | | REDUCE: (925), (1106) imply: % 49.37/7.73 | | | | | | | | | | | | | (1107) $false % 49.37/7.73 | | | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | | | CLOSE: (1107) is inconsistent. % 49.37/7.73 | | | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | | Case 2: % 49.37/7.73 | | | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | | | (1108) ~ (all_16_14 = e13) % 49.37/7.73 | | | | | | | | | | | | | (1109) all_16_14 = e12 | all_16_14 = e11 | all_16_14 = % 49.37/7.73 | | | | | | | | | | | | | e10 % 49.37/7.73 | | | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | | | BETA: splitting (195) gives: % 49.37/7.73 | | | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | | | Case 1: % 49.37/7.73 | | | | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | | | | (1110) all_16_10 = e13 % 49.37/7.73 | | | | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | | | | COMBINE_EQS: (661), (1110) imply: % 49.37/7.73 | | | | | | | | | | | | | | (1111) all_12_10 = e13 % 49.37/7.73 | | | | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | | | | REDUCE: (923), (1111) imply: % 49.37/7.73 | | | | | | | | | | | | | | (1112) $false % 49.37/7.73 | | | | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | | | | CLOSE: (1112) is inconsistent. % 49.37/7.73 | | | | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | | | Case 2: % 49.37/7.73 | | | | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | | | | (1113) ~ (all_16_10 = e13) % 49.37/7.73 | | | | | | | | | | | | | | (1114) all_16_10 = e12 | all_16_10 = e11 | all_16_10 = % 49.37/7.73 | | | | | | | | | | | | | | e10 % 49.37/7.73 | | | | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | | | | BETA: splitting (199) gives: % 49.37/7.73 | | | | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | | | | Case 1: % 49.37/7.73 | | | | | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | | | | | (1115) all_16_4 = e13 % 49.37/7.73 | | | | | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | | | | | COMBINE_EQS: (652), (1115) imply: % 49.37/7.73 | | | | | | | | | | | | | | | (1116) all_12_1 = e13 % 49.37/7.73 | | | | | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | | | | | SIMP: (1116) implies: % 49.37/7.73 | | | | | | | | | | | | | | | (1117) all_12_1 = e13 % 49.37/7.73 | | | | | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | | | | | COMBINE_EQS: (588), (1117) imply: % 49.37/7.73 | | | | | | | | | | | | | | | (1118) all_22_2 = e13 % 49.37/7.73 | | | | | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | | | | | REDUCE: (92), (1117) imply: % 49.37/7.73 | | | | | | | | | | | | | | | (1119) ~ (all_12_3 = e13) % 49.37/7.73 | | | | | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | | | | | SIMP: (1119) implies: % 49.37/7.73 | | | | | | | | | | | | | | | (1120) ~ (all_12_3 = e13) % 49.37/7.73 | | | | | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | | | | | BETA: splitting (280) gives: % 49.37/7.73 | | | | | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | | | | | Case 1: % 49.37/7.73 | | | | | | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | | | | | | (1121) all_22_2 = e11 % 49.37/7.73 | | | | | | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | | | | | | COMBINE_EQS: (1118), (1121) imply: % 49.37/7.73 | | | | | | | | | | | | | | | | (1122) e13 = e11 % 49.37/7.73 | | | | | | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | | | | | | SIMP: (1122) implies: % 49.37/7.73 | | | | | | | | | | | | | | | | (1123) e13 = e11 % 49.37/7.73 | | | | | | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | | | | | | REDUCE: (929), (1123) imply: % 49.37/7.73 | | | | | | | | | | | | | | | | (1124) $false % 49.37/7.73 | | | | | | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | | | | | | CLOSE: (1124) is inconsistent. % 49.37/7.73 | | | | | | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | | | | | Case 2: % 49.37/7.73 | | | | | | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | | | | | | (1125) all_22_3 = e11 | all_22_5 = e11 | all_22_10 = e11 % 49.37/7.73 | | | | | | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | | | | | | BETA: splitting (1125) gives: % 49.37/7.73 | | | | | | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | | | | | | Case 1: % 49.37/7.73 | | | | | | | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | | | | | | | (1126) all_22_3 = e11 % 49.37/7.73 | | | | | | | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | | | | | | | COMBINE_EQS: (1094), (1126) imply: % 49.37/7.73 | | | | | | | | | | | | | | | | | (1127) e12 = e11 % 49.37/7.73 | | | | | | | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | | | | | | | SIMP: (1127) implies: % 49.37/7.73 | | | | | | | | | | | | | | | | | (1128) e12 = e11 % 49.37/7.73 | | | | | | | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | | | | | | | REDUCE: (1101), (1128) imply: % 49.37/7.73 | | | | | | | | | | | | | | | | | (1129) $false % 49.37/7.73 | | | | | | | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | | | | | | | CLOSE: (1129) is inconsistent. % 49.37/7.73 | | | | | | | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | | | | | | Case 2: % 49.37/7.73 | | | | | | | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | | | | | | | (1130) all_22_5 = e11 | all_22_10 = e11 % 49.37/7.73 | | | | | | | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | | | | | | | BETA: splitting (1130) gives: % 49.37/7.73 | | | | | | | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | | | | | | | Case 1: % 49.37/7.73 | | | | | | | | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | | | | | | | | (1131) all_22_5 = e11 % 49.37/7.73 | | | | | | | | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (717), (1131) imply: % 49.37/7.73 | | | | | | | | | | | | | | | | | | (1132) e11 = e10 % 49.37/7.73 | | | | | | | | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | | | | | | | | REDUCE: (7), (1132) imply: % 49.37/7.73 | | | | | | | | | | | | | | | | | | (1133) $false % 49.37/7.73 | | | | | | | | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | | | | | | | | CLOSE: (1133) is inconsistent. % 49.37/7.73 | | | | | | | | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | | | | | | | Case 2: % 49.37/7.73 | | | | | | | | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | | | | | | | | (1134) all_22_10 = e11 % 49.37/7.73 | | | | | | | | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (611), (1134) imply: % 49.37/7.73 | | | | | | | | | | | | | | | | | | (1135) all_12_13 = e11 % 49.37/7.73 | | | | | | | | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | | | | | | | | SIMP: (1135) implies: % 49.37/7.73 | | | | | | | | | | | | | | | | | | (1136) all_12_13 = e11 % 49.37/7.73 | | | | | | | | | | | | | | | | | | % 49.37/7.73 | | | | | | | | | | | | | | | | | | REDUCE: (59), (1136) imply: % 49.37/7.74 | | | | | | | | | | | | | | | | | | (1137) ~ (all_12_14 = e11) % 49.37/7.74 | | | | | | | | | | | | | | | | | | % 49.37/7.74 | | | | | | | | | | | | | | | | | | SIMP: (1137) implies: % 49.37/7.74 | | | | | | | | | | | | | | | | | | (1138) ~ (all_12_14 = e11) % 49.37/7.74 | | | | | | | | | | | | | | | | | | % 49.37/7.74 | | | | | | | | | | | | | | | | | | REDUCE: (58), (1136) imply: % 49.37/7.74 | | | | | | | | | | | | | | | | | | (1139) ~ (all_12_15 = e11) % 49.37/7.74 | | | | | | | | | | | | | | | | | | % 49.37/7.74 | | | | | | | | | | | | | | | | | | SIMP: (1139) implies: % 49.37/7.74 | | | | | | | | | | | | | | | | | | (1140) ~ (all_12_15 = e11) % 49.37/7.74 | | | | | | | | | | | | | | | | | | % 49.37/7.74 | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives: % 49.37/7.74 | | | | | | | | | | | | | | | | | | % 49.37/7.74 | | | | | | | | | | | | | | | | | | Case 1: % 49.37/7.74 | | | | | | | | | | | | | | | | | | | % 49.37/7.74 | | | | | | | | | | | | | | | | | | | (1141) all_16_15 = e13 % 49.37/7.74 | | | | | | | | | | | | | | | | | | | % 49.37/7.74 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (672), (1141) imply: % 49.37/7.74 | | | | | | | | | | | | | | | | | | | (1142) all_12_15 = e13 % 49.37/7.74 | | | | | | | | | | | | | | | | | | | % 49.37/7.74 | | | | | | | | | | | | | | | | | | | REDUCE: (71), (1142) imply: % 49.37/7.74 | | | | | | | | | | | | | | | | | | | (1143) ~ (all_12_7 = e13) % 49.37/7.74 | | | | | | | | | | | | | | | | | | | % 49.37/7.74 | | | | | | | | | | | | | | | | | | | REDUCE: (875), (1142) imply: % 49.37/7.74 | | | | | | | | | | | | | | | | | | | (1144) op1(e10, e13) = all_26_15 % 49.37/7.74 | | | | | | | | | | | | | | | | | | | % 49.37/7.74 | | | | | | | | | | | | | | | | | | | REDUCE: (99), (1142) imply: % 49.37/7.74 | | | | | | | | | | | | | | | | | | | (1145) op1(e10, e10) = e13 % 49.37/7.74 | | | | | | | | | | | | | | | | | | | % 49.37/7.74 | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives: % 49.37/7.74 | | | | | | | | | | | | | | | | | | | % 49.37/7.74 | | | | | | | | | | | | | | | | | | | Case 1: % 49.37/7.74 | | | | | | | | | | | | | | | | | | | | % 49.37/7.74 | | | | | | | | | | | | | | | | | | | | (1146) all_16_13 = e13 % 49.37/7.74 | | | | | | | | | | | | | | | | | | | | % 49.37/7.74 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (669), (1146) imply: % 49.37/7.74 | | | | | | | | | | | | | | | | | | | | (1147) all_12_7 = e13 % 49.37/7.74 | | | | | | | | | | | | | | | | | | | | % 49.37/7.74 | | | | | | | | | | | | | | | | | | | | REDUCE: (1143), (1147) imply: % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | (1148) $false % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | CLOSE: (1148) is inconsistent. % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | Case 2: % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | (1149) all_16_13 = e12 | all_16_13 = e11 | all_16_13 = % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | e10 % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | BETA: splitting (1149) gives: % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | Case 1: % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | (1150) all_16_13 = e12 % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (669), (1150) imply: % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | (1151) all_12_7 = e12 % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | REDUCE: (1099), (1151) imply: % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | (1152) $false % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | CLOSE: (1152) is inconsistent. % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | Case 2: % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | (1153) all_16_13 = e11 | all_16_13 = e10 % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1153) gives: % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | (1154) all_16_13 = e11 % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (669), (1154) imply: % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | (1155) all_12_7 = e11 % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (797), (1155) imply: % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | (1156) $false % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1156) is inconsistent. % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | (1157) all_16_13 = e10 % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (669), (1157) imply: % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | (1158) all_12_7 = e10 % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (84), (1158) imply: % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | (1159) ~ (all_12_3 = e10) % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (873), (1158) imply: % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | (1160) op1(e10, e10) = all_26_13 % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (101), (1158) imply: % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | (1161) op1(e10, e12) = e10 % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives: % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | (1162) all_16_12 = e13 % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (667), (1120), (1162) are inconsistent by % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #24. % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | (1163) all_16_12 = e12 | all_16_12 = e11 | all_16_12 = % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | e10 % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1163) gives: % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | (1164) all_16_12 = e12 % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (667), (1164) imply: % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | (1165) all_12_3 = e12 % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1165) implies: % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | (1166) all_12_3 = e12 % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (788), (1166) imply: % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | (1167) $false % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1167) is inconsistent. % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | (1168) ~ (all_16_12 = e12) % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | (1169) all_16_12 = e11 | all_16_12 = e10 % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1169) gives: % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | (1170) all_16_12 = e11 % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (667), (1170) imply: % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | (1171) all_12_3 = e11 % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (872), (1171) imply: % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | (1172) op1(e10, e11) = all_26_12 % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (102), (1171) imply: % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | (1173) op1(e10, e13) = e11 % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1109) gives: % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | (1174) all_16_14 = e12 % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (671), (1174) imply: % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | (1175) all_12_11 = e12 % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1175) implies: % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | (1176) all_12_11 = e12 % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (874), (1176) imply: % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | (1177) op1(e10, e12) = all_26_14 % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (100), (1176) imply: % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | (1178) op1(e10, e11) = e12 % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with e13, all_26_13, e10, e10, % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1145), (1160) gives: % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | (1179) all_26_13 = e13 % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with e12, all_26_12, e11, e10, % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1172), (1178) gives: % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | (1180) all_26_12 = e12 % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with e10, all_26_14, e12, e10, % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1161), (1177) gives: % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | (1181) all_26_14 = e10 % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with e11, all_26_15, e13, e10, % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1144), (1173) gives: % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | (1182) all_26_15 = e11 % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (351) gives: % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1183) all_26_12 = e13 % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1180), (1183) imply: % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1184) e13 = e12 % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (928), (1184) imply: % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1185) $false % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1185) is inconsistent. % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1186) ~ (all_26_12 = e13) % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1187) all_26_13 = e12 | all_26_14 = e11 | all_26_15 = % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | e10 % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1187) gives: % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1188) all_26_13 = e12 % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1179), (1188) imply: % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1189) e13 = e12 % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1189) implies: % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1190) e13 = e12 % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (928), (1190) imply: % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1191) $false % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1191) is inconsistent. % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1192) all_26_14 = e11 | all_26_15 = e10 % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1192) gives: % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1193) all_26_14 = e11 % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1181), (1193) imply: % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1194) e11 = e10 % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (1194) imply: % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1195) $false % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1195) is inconsistent. % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1196) all_26_15 = e10 % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1182), (1196) imply: % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1197) e11 = e10 % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1197) implies: % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1198) e11 = e10 % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (1198) imply: % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1199) $false % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1199) is inconsistent. % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | (1200) all_16_14 = e11 | all_16_14 = e10 % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (83), (667), (671), (788), (807), (1159), (1163), % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | (1200) are inconsistent by sub-proof #21. % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | (1201) all_16_12 = e10 % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (667), (1201) imply: % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | (1202) all_12_3 = e10 % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1159), (1202) imply: % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | (1203) $false % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1203) is inconsistent. % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | End of split % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | End of split % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | End of split % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | End of split % 49.37/7.75 | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | Case 2: % 49.37/7.75 | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | (1204) all_16_15 = e12 | all_16_15 = e11 | all_16_15 = % 49.37/7.75 | | | | | | | | | | | | | | | | | | | e10 % 49.37/7.75 | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | BETA: splitting (1204) gives: % 49.37/7.75 | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | Case 1: % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | (1205) all_16_15 = e12 % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (672), (1205) imply: % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | (1206) all_12_15 = e12 % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (614), (1206) imply: % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | (1207) all_22_15 = e12 % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | REDUCE: (62), (1206) imply: % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | (1208) ~ (all_12_11 = e12) % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | REDUCE: (57), (1206) imply: % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | (1209) ~ (all_12_14 = e12) % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | BETA: splitting (1109) gives: % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | Case 1: % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | (1210) all_16_14 = e12 % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (671), (1210) imply: % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | (1211) all_12_11 = e12 % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | REDUCE: (1208), (1211) imply: % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | (1212) $false % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | CLOSE: (1212) is inconsistent. % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | Case 2: % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | (1213) ~ (all_16_14 = e12) % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | (1214) all_16_14 = e11 | all_16_14 = e10 % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives: % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | (1215) all_16_11 = e13 % 49.37/7.75 | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (1215) imply: % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | (1216) all_12_14 = e13 % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | SIMP: (1216) implies: % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | (1217) all_12_14 = e13 % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (613), (1217) imply: % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | (1218) all_22_11 = e13 % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (85), (1217) imply: % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | (1219) ~ (all_12_2 = e13) % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (871), (1217) imply: % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | (1220) op1(e11, e13) = all_26_11 % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (103), (1217) imply: % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | (1221) op1(e11, e10) = e13 % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (274) gives: % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | (1222) all_22_15 = e10 % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1207), (1222) imply: % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | (1223) e12 = e10 % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1223) implies: % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | (1224) e12 = e10 % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (1224) imply: % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | (1225) $false % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1225) is inconsistent. % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | (1226) (all_22_9 = e10 | all_22_10 = e10 | all_22_11 = % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | e10) & (all_22_12 = e10 | all_22_13 = e10 | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | all_22_14 = e10) % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1226) implies: % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | (1227) all_22_12 = e10 | all_22_13 = e10 | all_22_14 = % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | e10 % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1227) gives: % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | (1228) all_22_12 = e10 % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (592), (1228) imply: % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | (1229) all_12_3 = e10 % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1229) implies: % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | (1230) all_12_3 = e10 % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (88), (1230) imply: % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | (1231) ~ (all_12_2 = e10) % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives: % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | (1232) all_16_8 = e13 % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (658), (1219), (1232) are inconsistent by % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #20. % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | (1233) all_16_8 = e12 | all_16_8 = e11 | all_16_8 = e10 % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (276) gives: % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (1234) all_22_6 = e10 % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (590), (1234) imply: % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (1235) all_12_2 = e10 % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1235) implies: % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (1236) all_12_2 = e10 % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1231), (1236) imply: % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (1237) $false % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1237) is inconsistent. % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (1238) all_22_7 = e10 | all_22_8 = e10 | all_22_11 = e10 % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1238) gives: % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1239) all_22_7 = e10 % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (598), (1239) imply: % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1240) all_12_6 = e10 % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1240) implies: % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1241) all_12_6 = e10 % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (869), (1241) imply: % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1242) op1(e11, e10) = all_26_9 % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (105), (1241) imply: % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1243) op1(e11, e12) = e10 % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1233) gives: % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1244) all_16_8 = e12 % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (658), (786), (1244) are inconsistent by sub-proof % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #19. % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1245) all_16_8 = e11 | all_16_8 = e10 % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1214) gives: % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1246) all_16_14 = e11 % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (671), (1246) imply: % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1247) all_12_11 = e11 % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1247) implies: % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1248) all_12_11 = e11 % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (607), (1248) imply: % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1249) all_22_14 = e11 % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1208), (1248) imply: % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1250) ~ (e12 = e11) % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (279) gives: % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1251) all_22_4 = e12 % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (920), (928), (1251) are inconsistent by sub-proof % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #18. % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1252) all_22_5 = e12 | all_22_8 = e12 | all_22_14 = e12 % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1252) gives: % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1253) all_22_5 = e12 % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (717), (1253) imply: % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1254) e12 = e10 % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (1254) imply: % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1255) $false % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1255) is inconsistent. % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1256) all_22_8 = e12 | all_22_14 = e12 % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1256) gives: % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1257) all_22_8 = e12 % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (440), (1257) imply: % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1258) all_12_10 = e12 % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1258) implies: % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1259) all_12_10 = e12 % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (870), (1259) imply: % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1260) op1(e11, e12) = all_26_10 % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (104), (1259) imply: % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1261) op1(e11, e11) = e12 % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1245) gives: % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1262) all_16_8 = e11 % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (658), (1262) imply: % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1263) all_12_2 = e11 % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (868), (1263) imply: % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1264) op1(e11, e11) = all_26_8 % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (106), (1263) imply: % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1265) op1(e11, e13) = e11 % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with e13, all_26_9, e10, e11, % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1221), (1242) gives: % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1266) all_26_9 = e13 % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with e12, all_26_8, e11, e11, % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1261), (1264) gives: % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1267) all_26_8 = e12 % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with e10, all_26_10, e12, e11, % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1243), (1260) gives: % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1268) all_26_10 = e10 % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with e11, all_26_11, e13, e11, % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1220), (1265) gives: % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1269) all_26_11 = e11 % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (352) gives: % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1270) all_26_8 = e13 % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1267), (1270) imply: % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1271) e13 = e12 % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (928), (1271) imply: % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1272) $false % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1272) is inconsistent. % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1273) ~ (all_26_8 = e13) % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1274) all_26_9 = e12 | all_26_10 = e11 | all_26_11 = e10 % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1274) gives: % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1275) all_26_9 = e12 % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1266), (1275) imply: % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1276) e13 = e12 % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1276) implies: % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1277) e13 = e12 % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (928), (1277) imply: % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1278) $false % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1278) is inconsistent. % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1279) all_26_10 = e11 | all_26_11 = e10 % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1279) gives: % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1280) all_26_10 = e11 % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1268), (1280) imply: % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1281) e11 = e10 % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (1281) imply: % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1282) $false % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1282) is inconsistent. % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1283) all_26_11 = e10 % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1269), (1283) imply: % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1284) e11 = e10 % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1284) implies: % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1285) e11 = e10 % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (1285) imply: % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1286) $false % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1286) is inconsistent. % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1287) all_16_8 = e10 % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (658), (1287) imply: % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1288) all_12_2 = e10 % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1231), (1288) imply: % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1289) $false % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1289) is inconsistent. % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1290) all_22_14 = e12 % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1249), (1290) imply: % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1291) e12 = e11 % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1101), (1291) imply: % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1292) $false % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1292) is inconsistent. % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.37/7.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1293) all_16_14 = e10 % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (671), (807), (1293) are inconsistent by sub-proof % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #22. % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1294) all_22_8 = e10 | all_22_11 = e10 % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1214) gives: % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1295) all_16_14 = e11 % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (671), (1295) imply: % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1296) all_12_11 = e11 % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1296) implies: % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1297) all_12_11 = e11 % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (607), (1297) imply: % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1298) all_22_14 = e11 % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1208), (1297) imply: % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1299) ~ (e12 = e11) % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (279) gives: % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1300) all_22_4 = e12 % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (920), (928), (1300) are inconsistent by sub-proof % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #18. % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1301) all_22_5 = e12 | all_22_8 = e12 | all_22_14 = e12 % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1301) gives: % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1302) all_22_5 = e12 % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (717), (1302) imply: % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1303) e12 = e10 % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (1303) imply: % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1304) $false % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1304) is inconsistent. % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1305) all_22_8 = e12 | all_22_14 = e12 % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1305) gives: % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1306) all_22_8 = e12 % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (440), (1306) imply: % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1307) all_12_10 = e12 % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1307) implies: % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1308) all_12_10 = e12 % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1294) gives: % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1309) all_22_8 = e10 % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1306), (1309) imply: % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1310) e12 = e10 % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1310) implies: % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1311) e12 = e10 % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (1311) imply: % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1312) $false % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1312) is inconsistent. % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1313) all_22_11 = e10 % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1218), (1313) imply: % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1314) e13 = e10 % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1314) implies: % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1315) e13 = e10 % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (930), (1315) imply: % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1316) $false % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1316) is inconsistent. % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1317) all_22_14 = e12 % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1298), (1317) imply: % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1318) e12 = e11 % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1101), (1318) imply: % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1319) $false % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1319) is inconsistent. % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1320) all_16_14 = e10 % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (671), (807), (1320) are inconsistent by sub-proof % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #22. % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | (1321) ~ (all_22_12 = e10) % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (592), (1321) imply: % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | (1322) ~ (all_12_3 = e10) % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives: % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | (1323) all_16_12 = e13 % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (667), (1120), (1323) are inconsistent by % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #24. % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | (1324) all_16_12 = e12 | all_16_12 = e11 | all_16_12 = % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | e10 % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (83), (667), (671), (788), (807), (1214), (1322), % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | (1324) are inconsistent by sub-proof #21. % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | End of split % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | (1325) all_16_11 = e12 | all_16_11 = e11 | all_16_11 = % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | e10 % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1325) gives: % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | (1326) all_16_11 = e12 % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (1326) imply: % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | (1327) all_12_14 = e12 % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1327) implies: % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | (1328) all_12_14 = e12 % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1209), (1328) imply: % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | (1329) $false % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1329) is inconsistent. % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | (1330) all_16_11 = e11 | all_16_11 = e10 % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (665), (939), (1138), (1330) are inconsistent by % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #17. % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | End of split % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | End of split % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | End of split % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | Case 2: % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | (1331) all_16_15 = e11 | all_16_15 = e10 % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | BETA: splitting (1331) gives: % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | Case 1: % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | (1332) all_16_15 = e11 % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (672), (1332) imply: % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | (1333) all_12_15 = e11 % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | SIMP: (1333) implies: % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | (1334) all_12_15 = e11 % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | REDUCE: (1140), (1334) imply: % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | (1335) $false % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | CLOSE: (1335) is inconsistent. % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | Case 2: % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | (1336) all_16_15 = e10 % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (672), (941), (1336) are inconsistent by sub-proof % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | #16. % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | End of split % 49.37/7.77 | | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | | End of split % 49.37/7.77 | | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | End of split % 49.37/7.77 | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | End of split % 49.37/7.77 | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | End of split % 49.37/7.77 | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | End of split % 49.37/7.77 | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | Case 2: % 49.37/7.77 | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | (1337) ~ (all_16_4 = e13) % 49.37/7.77 | | | | | | | | | | | | | | | (1338) all_16_4 = e12 | all_16_4 = e11 | all_16_4 = e10 % 49.37/7.77 | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | REDUCE: (652), (1337) imply: % 49.37/7.77 | | | | | | | | | | | | | | | (1339) ~ (all_12_1 = e13) % 49.37/7.77 | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | BETA: splitting (282) gives: % 49.37/7.77 | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | Case 1: % 49.37/7.77 | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | (1340) all_22_2 = e13 % 49.37/7.77 | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | COMBINE_EQS: (588), (1340) imply: % 49.37/7.77 | | | | | | | | | | | | | | | | (1341) all_12_1 = e13 % 49.37/7.77 | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | SIMP: (1341) implies: % 49.37/7.77 | | | | | | | | | | | | | | | | (1342) all_12_1 = e13 % 49.37/7.77 | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | REDUCE: (1339), (1342) imply: % 49.37/7.77 | | | | | | | | | | | | | | | | (1343) $false % 49.37/7.77 | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | CLOSE: (1343) is inconsistent. % 49.37/7.77 | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | Case 2: % 49.37/7.77 | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | (1344) all_22_3 = e13 | all_22_5 = e13 | all_22_10 = e13 % 49.37/7.77 | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | BETA: splitting (1344) gives: % 49.37/7.77 | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | Case 1: % 49.37/7.77 | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | (1345) all_22_3 = e13 % 49.37/7.77 | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | COMBINE_EQS: (1094), (1345) imply: % 49.37/7.77 | | | | | | | | | | | | | | | | | (1346) e13 = e12 % 49.37/7.77 | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | REDUCE: (928), (1346) imply: % 49.37/7.77 | | | | | | | | | | | | | | | | | (1347) $false % 49.37/7.77 | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | CLOSE: (1347) is inconsistent. % 49.37/7.77 | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | Case 2: % 49.37/7.77 | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | (1348) all_22_5 = e13 | all_22_10 = e13 % 49.37/7.77 | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | BETA: splitting (1348) gives: % 49.37/7.77 | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | Case 1: % 49.37/7.77 | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | (1349) all_22_5 = e13 % 49.37/7.77 | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (717), (1349) imply: % 49.37/7.77 | | | | | | | | | | | | | | | | | | (1350) e13 = e10 % 49.37/7.77 | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | REDUCE: (930), (1350) imply: % 49.37/7.77 | | | | | | | | | | | | | | | | | | (1351) $false % 49.37/7.77 | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | CLOSE: (1351) is inconsistent. % 49.37/7.77 | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | Case 2: % 49.37/7.77 | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | (1352) all_22_10 = e13 % 49.37/7.77 | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (611), (1352) imply: % 49.37/7.77 | | | | | | | | | | | | | | | | | | (1353) all_12_13 = e13 % 49.37/7.77 | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | SIMP: (1353) implies: % 49.37/7.77 | | | | | | | | | | | | | | | | | | (1354) all_12_13 = e13 % 49.37/7.77 | | | | | | | | | | | | | | | | | | % 49.37/7.77 | | | | | | | | | | | | | | | | | | REDUCE: (59), (1354) imply: % 49.37/7.78 | | | | | | | | | | | | | | | | | | (1355) ~ (all_12_14 = e13) % 49.37/7.78 | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | SIMP: (1355) implies: % 49.37/7.78 | | | | | | | | | | | | | | | | | | (1356) ~ (all_12_14 = e13) % 49.37/7.78 | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | REDUCE: (58), (1354) imply: % 49.37/7.78 | | | | | | | | | | | | | | | | | | (1357) ~ (all_12_15 = e13) % 49.37/7.78 | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | SIMP: (1357) implies: % 49.37/7.78 | | | | | | | | | | | | | | | | | | (1358) ~ (all_12_15 = e13) % 49.37/7.78 | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | REDUCE: (815), (1354) imply: % 49.37/7.78 | | | | | | | | | | | | | | | | | | (1359) h4(e13) = all_28_15 % 49.37/7.78 | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | BETA: splitting (1338) gives: % 49.37/7.78 | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | Case 1: % 49.37/7.78 | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | (1360) all_16_4 = e12 % 49.37/7.78 | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (652), (1360) imply: % 49.37/7.78 | | | | | | | | | | | | | | | | | | | (1361) all_12_1 = e12 % 49.37/7.78 | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | SIMP: (1361) implies: % 49.37/7.78 | | | | | | | | | | | | | | | | | | | (1362) all_12_1 = e12 % 49.37/7.78 | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | REDUCE: (784), (1362) imply: % 49.37/7.78 | | | | | | | | | | | | | | | | | | | (1363) $false % 49.37/7.78 | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | CLOSE: (1363) is inconsistent. % 49.37/7.78 | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | Case 2: % 49.37/7.78 | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | (1364) ~ (all_16_4 = e12) % 49.37/7.78 | | | | | | | | | | | | | | | | | | | (1365) all_16_4 = e11 | all_16_4 = e10 % 49.37/7.78 | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | BETA: splitting (1365) gives: % 49.37/7.78 | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | Case 1: % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | (1366) all_16_4 = e11 % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (652), (1366) imply: % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | (1367) all_12_1 = e11 % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | SIMP: (1367) implies: % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | (1368) all_12_1 = e11 % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | REDUCE: (93), (1368) imply: % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | (1369) ~ (all_12_2 = e11) % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | SIMP: (1369) implies: % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | (1370) ~ (all_12_2 = e11) % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | REDUCE: (92), (1368) imply: % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | (1371) ~ (all_12_3 = e11) % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | SIMP: (1371) implies: % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | (1372) ~ (all_12_3 = e11) % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | REDUCE: (784), (1368) imply: % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | (1373) ~ (e12 = e11) % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | REDUCE: (812), (1368) imply: % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | (1374) h4(e11) = all_28_9 % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with e21, all_28_9, e11, % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | simplifying with (986), (1374) gives: % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | (1375) all_28_9 = e21 % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with e23, all_28_15, e13, % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | simplifying with (50), (1359) gives: % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | (1376) all_28_15 = e23 % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives: % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | Case 1: % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | (1377) all_16_11 = e13 % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (1377) imply: % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | (1378) all_12_14 = e13 % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | SIMP: (1378) implies: % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | (1379) all_12_14 = e13 % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | REDUCE: (1356), (1379) imply: % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | (1380) $false % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | CLOSE: (1380) is inconsistent. % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | Case 2: % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | (1381) ~ (all_16_11 = e13) % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | (1382) all_16_11 = e12 | all_16_11 = e11 | all_16_11 = % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | e10 % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives: % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | (1383) all_16_9 = e13 % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (659), (1383) imply: % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | (1384) all_12_6 = e13 % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | SIMP: (1384) implies: % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | (1385) all_12_6 = e13 % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (598), (1385) imply: % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | (1386) all_22_7 = e13 % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (74), (1385) imply: % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | (1387) ~ (all_12_7 = e13) % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | SIMP: (1387) implies: % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | (1388) ~ (all_12_7 = e13) % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (817), (1385) imply: % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | (1389) h4(e13) = all_28_19 % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (869), (1385) imply: % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | (1390) op1(e11, e13) = all_26_9 % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (105), (1385) imply: % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | (1391) op1(e11, e12) = e13 % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (275) gives: % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | (1392) all_22_12 = e13 % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (592), (1392) imply: % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | (1393) all_12_3 = e13 % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1393) implies: % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | (1394) all_12_3 = e13 % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (88), (1394) imply: % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | (1395) ~ (all_12_2 = e13) % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (820), (1394) imply: % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | (1396) h4(e13) = all_28_26 % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives: % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | (1397) all_16_8 = e13 % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (658), (1395), (1397) are inconsistent by % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #20. % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | (1398) ~ (all_16_8 = e13) % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | (1399) all_16_8 = e12 | all_16_8 = e11 | all_16_8 = e10 % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1399) gives: % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | (1400) all_16_8 = e12 % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (658), (786), (1400) are inconsistent by sub-proof % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | #19. % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | (1401) all_16_8 = e11 | all_16_8 = e10 % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1401) gives: % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | (1402) all_16_8 = e11 % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (658), (1402) imply: % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | (1403) all_12_2 = e11 % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1403) implies: % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | (1404) all_12_2 = e11 % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1370), (1404) imply: % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | (1405) $false % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1405) is inconsistent. % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | (1406) all_16_8 = e10 % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (658), (1406) imply: % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | (1407) all_12_2 = e10 % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1407) implies: % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | (1408) all_12_2 = e10 % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (590), (1408) imply: % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | (1409) all_22_6 = e10 % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (816), (1408) imply: % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | (1410) h4(e10) = all_28_17 % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (868), (1408) imply: % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | (1411) op1(e11, e10) = all_26_8 % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (106), (1408) imply: % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | (1412) op1(e11, e13) = e10 % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (274) gives: % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1413) all_22_15 = e10 % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (614), (941), (1413) are inconsistent by sub-proof % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | #15. % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1414) (all_22_9 = e10 | all_22_10 = e10 | all_22_11 = % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | e10) & (all_22_12 = e10 | all_22_13 = e10 | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_14 = e10) % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1414) implies: % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1415) all_22_12 = e10 | all_22_13 = e10 | all_22_14 = % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | e10 % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1415) gives: % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1416) all_22_12 = e10 % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1392), (1416) imply: % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1417) e13 = e10 % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1417) implies: % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1418) e13 = e10 % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (930), (1418) imply: % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1419) $false % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1419) is inconsistent. % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1420) all_22_13 = e10 | all_22_14 = e10 % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1420) gives: % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1421) all_22_13 = e10 % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (599), (1421) imply: % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1422) all_12_7 = e10 % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1422) implies: % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1423) all_12_7 = e10 % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (821), (1423) imply: % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1424) h4(e10) = all_28_29 % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_12_14, all_26_8, e10, % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e11, simplifying with (103), (1411) gives: % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1425) all_26_8 = all_12_14 % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with e10, all_26_9, e13, e11, % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1390), (1412) gives: % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1426) all_26_9 = e10 % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with e20, all_28_17, e10, % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1003), (1410) gives: % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1427) all_28_17 = e20 % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_28_29, all_28_17, e10, % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1410), (1424) gives: % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1428) all_28_17 = all_28_29 % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with e23, all_28_19, e13, % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (50), (1389) gives: % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1429) all_28_19 = e23 % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_28_26, all_28_19, e13, % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1389), (1396) gives: % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1430) all_28_19 = all_28_26 % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1427), (1428) imply: % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1431) all_28_29 = e20 % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1429), (1430) imply: % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1432) all_28_26 = e23 % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives: % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1433) all_16_15 = e13 % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (672), (1433) imply: % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1434) all_12_15 = e13 % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1434) implies: % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1435) all_12_15 = e13 % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1358), (1435) imply: % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1436) $false % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1436) is inconsistent. % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1437) all_16_15 = e12 | all_16_15 = e11 | all_16_15 = % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10 % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives: % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1438) all_18_14 = e23 % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (697), (1438) imply: % 49.37/7.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1439) all_14_11 = e23 % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (882), (1439) imply: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1440) $false % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1440) is inconsistent. % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1441) ~ (all_18_14 = e23) % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1442) all_18_14 = e22 | all_18_14 = e21 | all_18_14 = % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1443) all_18_4 = e23 % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (677), (1443) imply: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1444) all_14_1 = e23 % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1444) implies: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1445) all_14_1 = e23 % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (523), (1445) imply: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1446) all_20_2 = e23 % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (154), (1445) imply: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1447) ~ (all_14_2 = e23) % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1447) implies: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1448) ~ (all_14_2 = e23) % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (153), (1445) imply: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1449) ~ (all_14_3 = e23) % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1449) implies: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1450) ~ (all_14_3 = e23) % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (747), (1445) imply: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1451) ~ (all_6_1 = e23) % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1451) implies: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1452) ~ (all_6_1 = e23) % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (252) gives: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1453) all_20_2 = e21 % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1446), (1453) imply: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1454) e23 = e21 % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1454) implies: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1455) e23 = e21 % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12), (1455) imply: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1456) $false % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1456) is inconsistent. % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1457) all_20_3 = e21 | all_20_5 = e21 | all_20_10 = e21 % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1458) all_18_5 = e23 % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (678), (1458) imply: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1459) all_6_1 = e23 % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1452), (1459) imply: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1460) $false % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1460) is inconsistent. % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1461) all_18_5 = e22 | all_18_5 = e21 | all_18_5 = e20 % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1461) gives: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1462) all_18_5 = e22 % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (678), (1462) imply: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1463) all_6_1 = e22 % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (520), (1463) imply: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1464) all_20_3 = e22 % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (725), (1463) imply: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1465) all_24_21 = e22 % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (764), (1463) imply: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1466) ~ (all_14_7 = e22) % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (752), (1463) imply: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1467) ~ (e22 = e21) % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1457) gives: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1468) all_20_3 = e21 % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1464), (1468) imply: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1469) e22 = e21 % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1469) implies: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1470) e22 = e21 % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1467), (1470) imply: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1471) $false % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1471) is inconsistent. % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1472) all_20_5 = e21 | all_20_10 = e21 % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1472) gives: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1473) all_20_5 = e21 % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (715), (1473) imply: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1474) e21 = e20 % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1474) implies: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1475) e21 = e20 % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (1475) imply: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1476) $false % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1476) is inconsistent. % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1477) all_20_10 = e21 % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (512), (1477) imply: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1478) all_14_13 = e21 % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (781), (1478) imply: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1479) ~ (all_10_1 = e21) % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1479) implies: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1480) ~ (all_10_1 = e21) % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1481) all_18_13 = e23 % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (696), (1481) imply: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1482) all_14_7 = e23 % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1482) implies: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1483) all_14_7 = e23 % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (493), (1483) imply: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1484) all_20_13 = e23 % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (768), (1483) imply: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1485) ~ (all_10_1 = e23) % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1485) implies: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1486) ~ (all_10_1 = e23) % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1487) all_18_15 = e23 % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (698), (1486), (1487) are inconsistent by % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #14. % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1488) all_18_15 = e22 | all_18_15 = e21 | all_18_15 = % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1489) all_20_1 = e20 % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (716), (1489) are inconsistent by sub-proof % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #25. % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1490) all_20_3 = e20 | all_20_7 = e20 | all_20_13 = e20 % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1490) gives: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1491) all_20_3 = e20 % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1464), (1491) imply: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1492) e22 = e20 % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1492) implies: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1493) e22 = e20 % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (1493) imply: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1494) $false % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1494) is inconsistent. % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1495) all_20_7 = e20 | all_20_13 = e20 % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1495) gives: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1496) all_20_7 = e20 % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (629), (1496) imply: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1497) all_14_6 = e20 % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1497) implies: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1498) all_14_6 = e20 % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (1498) imply: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1499) ~ (all_14_2 = e20) % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (857), (1498) imply: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1500) op2(e21, e20) = all_24_9 % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (164), (1498) imply: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1501) op2(e21, e22) = e20 % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1502) all_18_8 = e23 % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (683), (1502) imply: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1503) all_14_2 = e23 % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1448), (1503) imply: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1504) $false % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1504) is inconsistent. % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1505) all_18_8 = e22 | all_18_8 = e21 | all_18_8 = e20 % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1505) gives: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1506) all_18_8 = e22 % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (683), (1506) imply: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1507) all_14_2 = e22 % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (1507) imply: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1508) $false % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1508) is inconsistent. % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1509) all_18_8 = e21 | all_18_8 = e20 % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1509) gives: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1510) all_18_8 = e21 % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (683), (1510) imply: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1511) all_14_2 = e21 % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (1511) imply: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1512) ~ (all_14_3 = e21) % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1512) implies: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1513) ~ (all_14_3 = e21) % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (856), (1511) imply: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1514) op2(e21, e21) = all_24_8 % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (165), (1511) imply: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1515) op2(e21, e23) = e21 % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1488) gives: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1516) all_18_15 = e22 % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (698), (1516) imply: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1517) all_10_1 = e22 % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (779), (1517) imply: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1518) ~ (all_14_11 = e22) % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (782), (1517) imply: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1519) ~ (all_14_14 = e22) % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1520) all_18_11 = e23 % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (693), (1520) imply: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1521) all_14_14 = e23 % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (859), (1521) imply: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1522) op2(e21, e23) = all_24_11 % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (162), (1521) imply: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1523) op2(e21, e20) = e23 % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (251) gives: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1524) all_20_4 = e22 % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (879), (1524) are inconsistent by sub-proof % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #13. % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1525) all_20_5 = e22 | all_20_8 = e22 | all_20_14 = e22 % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1442) gives: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1526) all_18_14 = e22 % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (697), (1526) imply: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1527) all_14_11 = e22 % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1518), (1527) imply: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1528) $false % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1528) is inconsistent. % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.37/7.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1529) ~ (all_18_14 = e22) % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1530) all_18_14 = e21 | all_18_14 = e20 % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1530) gives: % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1531) all_18_14 = e21 % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (697), (1531) imply: % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1532) all_14_11 = e21 % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (490), (1532) imply: % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1533) all_20_14 = e21 % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1518), (1532) imply: % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1534) ~ (e22 = e21) % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1525) gives: % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1535) all_20_5 = e22 % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (715), (1535) imply: % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1536) e22 = e20 % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (1536) imply: % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1537) $false % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1537) is inconsistent. % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1538) all_20_8 = e22 | all_20_14 = e22 % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1538) gives: % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1539) all_20_8 = e22 % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (637), (1539) imply: % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1540) all_4_1 = e22 % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1540) implies: % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1541) all_4_1 = e22 % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (886), (1541) imply: % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1542) ~ (e23 = e22) % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (35), (1541) imply: % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1543) op2(e21, e22) = all_4_0 % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (34), (1541) imply: % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1544) op2(e21, e21) = e22 % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (32) with e23, all_24_9, e20, e21, % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1500), (1523) gives: % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1545) all_24_9 = e23 % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (32) with e22, all_24_8, e21, e21, % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1514), (1544) gives: % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1546) all_24_8 = e22 % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (32) with e20, all_4_0, e22, e21, % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1501), (1543) gives: % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1547) all_4_0 = e20 % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (32) with e21, all_24_11, e23, e21, % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1515), (1522) gives: % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1548) all_24_11 = e21 % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (979), (1547) imply: % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1549) all_24_10 = e20 % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (319) gives: % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1550) all_24_8 = e23 % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1546), (1550) imply: % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1551) e23 = e22 % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1551) implies: % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1552) e23 = e22 % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13), (1552) imply: % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1553) $false % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1553) is inconsistent. % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1554) ~ (all_24_8 = e23) % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1555) all_24_9 = e22 | all_24_10 = e21 | all_24_11 = e20 % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1555) gives: % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1556) all_24_9 = e22 % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1545), (1556) imply: % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1557) e23 = e22 % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13), (1557) imply: % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1558) $false % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1558) is inconsistent. % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1559) all_24_10 = e21 | all_24_11 = e20 % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1559) gives: % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1560) all_24_10 = e21 % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1549), (1560) imply: % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1561) e21 = e20 % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1561) implies: % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1562) e21 = e20 % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (1562) imply: % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1563) $false % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1563) is inconsistent. % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1564) all_24_11 = e20 % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1548), (1564) imply: % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1565) e21 = e20 % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (1565) imply: % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1566) $false % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1566) is inconsistent. % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1567) all_20_14 = e22 % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1533), (1567) imply: % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1568) e22 = e21 % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1467), (1568) imply: % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1569) $false % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1569) is inconsistent. % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1570) all_18_14 = e20 % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (697), (1570) imply: % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1571) all_14_11 = e20 % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (774), (1571) imply: % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1572) $false % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1572) is inconsistent. % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1573) ~ (all_18_11 = e23) % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (693), (1573) imply: % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1574) ~ (all_14_14 = e23) % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives: % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1575) all_18_12 = e23 % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (695), (1450), (1575) are inconsistent by % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #12. % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1576) all_18_12 = e22 | all_18_12 = e21 | all_18_12 = % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 % 49.37/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (52), (53), (144), (145), (159), (160), % 49.70/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (161), (218), (220), (222), (251), (317), (318), % 49.70/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (490), (498), (501), (637), (693), (695), (696), % 49.70/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (698), (715), (718), (746), (756), (768), (778), % 49.70/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (779), (860), (861), (862), (879), (880), (910), % 49.70/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (981), (1465), (1466), (1513), (1574), (1576) are % 49.70/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #4. % 49.70/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1577) all_18_15 = e21 | all_18_15 = e20 % 49.70/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1577) gives: % 49.70/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1578) all_18_15 = e21 % 49.70/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (698), (1578) imply: % 49.70/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1579) all_10_1 = e21 % 49.70/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1579) implies: % 49.70/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1580) all_10_1 = e21 % 49.70/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1480), (1580) imply: % 49.70/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1581) $false % 49.70/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1581) is inconsistent. % 49.70/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1582) all_18_15 = e20 % 49.70/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (698), (912), (1582) are inconsistent by sub-proof % 49.70/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #8. % 49.70/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1583) all_18_8 = e20 % 49.70/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (683), (1583) imply: % 49.70/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1584) all_14_2 = e20 % 49.70/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1499), (1584) imply: % 49.70/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1585) $false % 49.70/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1585) is inconsistent. % 49.70/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1586) all_20_13 = e20 % 49.70/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1484), (1586) imply: % 49.70/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1587) e23 = e20 % 49.70/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1587) implies: % 49.70/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1588) e23 = e20 % 49.70/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (1588) imply: % 49.70/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1589) $false % 49.70/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1589) is inconsistent. % 49.70/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1590) ~ (all_18_13 = e23) % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1591) all_18_13 = e22 | all_18_13 = e21 | all_18_13 = % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (696), (1590) imply: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1592) ~ (all_14_7 = e23) % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (248) gives: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1593) all_20_12 = e23 % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (623), (1593) imply: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1594) all_14_3 = e23 % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1594) implies: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1595) all_14_3 = e23 % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1450), (1595) imply: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1596) $false % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1596) is inconsistent. % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1597) all_20_13 = e23 | all_20_14 = e23 | all_20_15 = % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23 % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1597) gives: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1598) all_20_13 = e23 % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (493), (1598) imply: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1599) all_14_7 = e23 % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1592), (1599) imply: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1600) $false % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1600) is inconsistent. % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1601) all_20_14 = e23 | all_20_15 = e23 % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1591) gives: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1602) all_18_13 = e22 % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (696), (1466), (1602) are inconsistent by % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #6. % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1603) all_18_13 = e21 | all_18_13 = e20 % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1603) gives: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1604) all_18_13 = e21 % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (696), (756), (1604) are inconsistent by sub-proof % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #5. % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1605) all_18_13 = e20 % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (696), (1605) imply: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1606) all_14_7 = e20 % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1606) implies: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1607) all_14_7 = e20 % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (1607) imply: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1608) ~ (all_14_3 = e20) % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (861), (1607) imply: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1609) op2(e20, e20) = all_24_13 % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (160), (1607) imply: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1610) op2(e20, e22) = e20 % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1611) all_18_15 = e23 % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (698), (1611) imply: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1612) all_10_1 = e23 % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (53), (1612) imply: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1613) op2(e20, e23) = all_10_0 % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (52), (1612) imply: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1614) op2(e20, e20) = e23 % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1615) all_18_12 = e23 % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (695), (1450), (1615) are inconsistent by % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #12. % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1616) all_18_12 = e22 | all_18_12 = e21 | all_18_12 = % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1616) gives: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1617) all_18_12 = e22 % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (695), (746), (1617) are inconsistent by sub-proof % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #11. % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1618) all_18_12 = e21 | all_18_12 = e20 % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1618) gives: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1619) all_18_12 = e21 % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (695), (1619) imply: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1620) all_14_3 = e21 % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1620) implies: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1621) all_14_3 = e21 % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (1621) imply: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1622) ~ (all_14_11 = e21) % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1622) implies: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1623) ~ (all_14_11 = e21) % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (860), (1621) imply: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1624) op2(e20, e21) = all_24_12 % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (161), (1621) imply: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1625) op2(e20, e23) = e21 % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1442) gives: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1626) all_18_14 = e22 % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (697), (1626) imply: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1627) all_14_11 = e22 % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (882), (1627) imply: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1628) ~ (e23 = e22) % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (862), (1627) imply: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1629) op2(e20, e22) = all_24_14 % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (159), (1627) imply: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1630) op2(e20, e21) = e22 % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (32) with e23, all_24_13, e20, e20, % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1609), (1614) gives: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1631) all_24_13 = e23 % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (32) with e22, all_24_12, e21, e20, % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1624), (1630) gives: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1632) all_24_12 = e22 % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (32) with e20, all_24_14, e22, e20, % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1610), (1629) gives: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1633) all_24_14 = e20 % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (32) with e21, all_10_0, e23, e20, % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1613), (1625) gives: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1634) all_10_0 = e21 % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (981), (1634) imply: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1635) all_24_15 = e21 % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (318) gives: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1636) all_24_12 = e23 % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1632), (1636) imply: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1637) e23 = e22 % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13), (1637) imply: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1638) $false % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1638) is inconsistent. % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1639) ~ (all_24_12 = e23) % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1640) all_24_13 = e22 | all_24_14 = e21 | all_24_15 = % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1640) gives: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1641) all_24_13 = e22 % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1631), (1641) imply: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1642) e23 = e22 % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1642) implies: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1643) e23 = e22 % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13), (1643) imply: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1644) $false % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1644) is inconsistent. % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1645) all_24_14 = e21 | all_24_15 = e20 % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1645) gives: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1646) all_24_14 = e21 % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1633), (1646) imply: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1647) e21 = e20 % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (1647) imply: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1648) $false % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1648) is inconsistent. % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1649) all_24_15 = e20 % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1635), (1649) imply: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1650) e21 = e20 % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1650) implies: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1651) e21 = e20 % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (1651) imply: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1652) $false % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1652) is inconsistent. % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1653) all_18_14 = e21 | all_18_14 = e20 % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1653) gives: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1654) all_18_14 = e21 % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (697), (1654) imply: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1655) all_14_11 = e21 % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1623), (1655) imply: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1656) $false % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1656) is inconsistent. % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1657) all_18_14 = e20 % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (697), (1657) imply: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1658) all_14_11 = e20 % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (774), (1658) imply: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1659) $false % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1659) is inconsistent. % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1660) all_18_12 = e20 % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (695), (1660) imply: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1661) all_14_3 = e20 % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1661) implies: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1662) all_14_3 = e20 % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1608), (1662) imply: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1663) $false % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1663) is inconsistent. % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1664) ~ (all_18_15 = e23) % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (698), (1664) imply: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1665) ~ (all_10_1 = e23) % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1601) gives: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1666) all_20_14 = e23 % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (490), (1666) imply: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1667) all_14_11 = e23 % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (882), (1667) imply: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1668) $false % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1668) is inconsistent. % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1669) all_20_15 = e23 % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (487), (1669) imply: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1670) all_10_1 = e23 % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1665), (1670) imply: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1671) $false % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1671) is inconsistent. % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1672) all_18_5 = e21 | all_18_5 = e20 % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (678), (752), (765), (1672) are inconsistent by % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3. % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1673) ~ (all_18_4 = e23) % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1674) all_18_4 = e22 | all_18_4 = e21 | all_18_4 = e20 % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (677), (1673) imply: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1675) ~ (all_14_1 = e23) % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1674) gives: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1676) all_18_4 = e22 % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (677), (1676) imply: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1677) all_14_1 = e22 % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1677) implies: % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1678) all_14_1 = e22 % 49.70/7.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (742), (1678) imply: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1679) $false % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1679) is inconsistent. % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1680) all_18_4 = e21 | all_18_4 = e20 % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1680) gives: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1681) all_18_4 = e21 % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (677), (1681) imply: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1682) all_14_1 = e21 % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1682) implies: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1683) all_14_1 = e21 % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (523), (1683) imply: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1684) all_20_2 = e21 % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (956), (1683) imply: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1685) all_28_8 = e21 % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (153), (1683) imply: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1686) ~ (all_14_3 = e21) % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1686) implies: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1687) ~ (all_14_3 = e21) % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (150), (1683) imply: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1688) ~ (all_14_13 = e21) % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1688) implies: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1689) ~ (all_14_13 = e21) % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1675), (1683) imply: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1690) ~ (e23 = e21) % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (852), (1683) imply: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1691) op2(e22, e21) = all_24_4 % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (169), (1683) imply: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1692) op2(e22, e23) = e21 % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (32) with e20, all_24_4, e21, e22, % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (19), (1691) gives: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1693) all_24_4 = e20 % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1694) all_18_10 = e23 % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (687), (1694) imply: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1695) all_4_1 = e23 % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1695) implies: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1696) all_4_1 = e23 % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (886), (1696) imply: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1697) $false % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1697) is inconsistent. % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1698) ~ (all_18_10 = e23) % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1699) all_18_10 = e22 | all_18_10 = e21 | all_18_10 = % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1700) all_18_5 = e23 % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (678), (1700) imply: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1701) all_6_1 = e23 % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (767), (1701) imply: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1702) ~ (all_14_13 = e23) % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (40), (1701) imply: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1703) op2(e22, e23) = all_6_0 % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (1701) imply: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1704) op2(e22, e22) = e23 % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1705) all_18_7 = e23 % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (691), (1705) imply: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1706) all_14_13 = e23 % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1702), (1706) imply: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1707) $false % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1707) is inconsistent. % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1708) all_18_7 = e22 | all_18_7 = e21 | all_18_7 = e20 % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1708) gives: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1709) all_18_7 = e22 % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (691), (1709) imply: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1710) all_14_13 = e22 % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (953), (1710) imply: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1711) all_24_6 = e22 % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1689), (1710) imply: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1712) ~ (e22 = e21) % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (855), (1710) imply: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1713) op2(e22, e22) = all_24_7 % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (32) with e23, all_24_7, e22, e22, % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1704), (1713) gives: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1714) all_24_7 = e23 % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (32) with e21, all_6_0, e23, e22, % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1692), (1703) gives: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1715) all_6_0 = e21 % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (978), (1715) imply: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1716) all_24_5 = e21 % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (320) gives: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1717) all_24_4 = e23 % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1693), (1717) imply: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1718) e23 = e20 % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (1718) imply: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1719) $false % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1719) is inconsistent. % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1720) ~ (all_24_4 = e23) % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1721) all_24_5 = e22 | all_24_6 = e21 | all_24_7 = e20 % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1721) gives: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1722) all_24_5 = e22 % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1716), (1722) imply: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1723) e22 = e21 % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1712), (1723) imply: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1724) $false % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1724) is inconsistent. % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1725) ~ (all_24_5 = e22) % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1726) all_24_6 = e21 | all_24_7 = e20 % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1716), (1725) imply: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1727) ~ (e22 = e21) % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1726) gives: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1728) all_24_6 = e21 % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1711), (1728) imply: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1729) e22 = e21 % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1729) implies: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1730) e22 = e21 % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1712), (1730) imply: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1731) $false % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1731) is inconsistent. % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1732) all_24_7 = e20 % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1714), (1732) imply: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1733) e23 = e20 % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1733) implies: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1734) e23 = e20 % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (1734) imply: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1735) $false % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1735) is inconsistent. % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1736) all_18_7 = e21 | all_18_7 = e20 % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1736) gives: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1737) all_18_7 = e21 % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (691), (1737) imply: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1738) all_14_13 = e21 % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1689), (1738) imply: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1739) $false % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1739) is inconsistent. % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1740) all_18_7 = e20 % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (691), (1740) imply: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1741) all_14_13 = e20 % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (908), (1741) imply: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1742) $false % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1742) is inconsistent. % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1743) ~ (all_18_5 = e23) % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1744) all_18_5 = e22 | all_18_5 = e21 | all_18_5 = e20 % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (678), (1743) imply: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1745) ~ (all_6_1 = e23) % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (253) gives: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1746) all_20_2 = e23 % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1684), (1746) imply: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1747) e23 = e21 % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12), (1747) imply: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1748) $false % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1748) is inconsistent. % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1749) all_20_3 = e23 | all_20_5 = e23 | all_20_10 = e23 % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1749) gives: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1750) all_20_3 = e23 % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (520), (1750) imply: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1751) all_6_1 = e23 % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1751) implies: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1752) all_6_1 = e23 % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1745), (1752) imply: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1753) $false % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1753) is inconsistent. % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1754) all_20_5 = e23 | all_20_10 = e23 % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1744) gives: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1755) all_18_5 = e22 % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (678), (1755) imply: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1756) all_6_1 = e22 % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (725), (1756) imply: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1757) all_24_21 = e22 % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (954), (1756) imply: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1758) all_28_10 = e22 % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (762), (1756) imply: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1759) ~ (all_14_6 = e22) % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (764), (1756) imply: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1760) ~ (all_14_7 = e22) % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1761) all_18_7 = e23 % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (691), (1761) imply: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1762) all_14_13 = e23 % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1016), (1762) imply: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1763) all_28_14 = e23 % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (1762) imply: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1764) ~ (all_14_14 = e23) % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1764) implies: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1765) ~ (all_14_14 = e23) % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1766) all_18_9 = e23 % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (685), (1766) imply: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1767) all_14_6 = e23 % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1767) implies: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1768) all_14_6 = e23 % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (629), (1768) imply: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1769) all_20_7 = e23 % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (995), (1768) imply: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1770) all_28_18 = e23 % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (857), (1768) imply: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1771) op2(e21, e23) = all_24_9 % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (164), (1768) imply: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1772) op2(e21, e22) = e23 % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (249) gives: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1773) all_20_6 = e20 % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (509), (1773) imply: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1774) all_14_2 = e20 % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1774) implies: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1775) all_14_2 = e20 % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (996), (1775) imply: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1776) all_28_16 = e20 % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (1775) imply: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1777) ~ (all_14_3 = e20) % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1777) implies: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1778) ~ (all_14_3 = e20) % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (856), (1775) imply: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1779) op2(e21, e20) = all_24_8 % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (165), (1775) imply: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1780) op2(e21, e23) = e20 % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1781) all_18_12 = e23 % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (695), (1781) imply: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1782) all_14_3 = e23 % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1782) implies: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1783) all_14_3 = e23 % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (623), (1783) imply: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1784) all_20_12 = e23 % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1014), (1783) imply: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1785) all_28_24 = e23 % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (750), (1783) imply: % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1786) ~ (all_10_1 = e23) % 49.70/7.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1786) implies: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1787) ~ (all_10_1 = e23) % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1023) gives: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1788) all_20_12 = e20 % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1784), (1788) imply: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1789) e23 = e20 % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1789) implies: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1790) e23 = e20 % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (1790) imply: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1791) $false % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1791) is inconsistent. % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1792) all_20_13 = e20 | all_20_14 = e20 % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1792) gives: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1793) all_20_13 = e20 % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (493), (1793) imply: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1794) all_14_7 = e20 % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1794) implies: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1795) all_14_7 = e20 % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1013), (1795) imply: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1796) all_28_27 = e20 % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1760), (1795) imply: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1797) ~ (e22 = e20) % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (32) with all_14_14, all_24_8, e20, % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21, simplifying with (162), (1779) gives: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1798) all_24_8 = all_14_14 % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (32) with e20, all_24_9, e23, e21, % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1771), (1780) gives: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1799) all_24_9 = e20 % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1800) all_18_15 = e23 % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (698), (1787), (1800) are inconsistent by % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #14. % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1801) all_18_15 = e22 | all_18_15 = e21 | all_18_15 = % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1802) all_18_11 = e23 % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (693), (1765), (1802) are inconsistent by % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #10. % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1803) ~ (all_18_11 = e23) % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1804) all_18_11 = e22 | all_18_11 = e21 | all_18_11 = % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (251) gives: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1805) all_20_4 = e22 % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (879), (1805) are inconsistent by sub-proof % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #13. % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1806) all_20_5 = e22 | all_20_8 = e22 | all_20_14 = e22 % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (279) gives: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1807) all_22_4 = e12 % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (920), (1807) imply: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1808) e13 = e12 % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (928), (1808) imply: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1809) $false % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1809) is inconsistent. % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1810) all_22_5 = e12 | all_22_8 = e12 | all_22_14 = e12 % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (277) gives: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1811) all_22_6 = e11 % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1409), (1811) imply: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1812) e11 = e10 % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (1812) imply: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1813) $false % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1813) is inconsistent. % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1814) all_22_7 = e11 | all_22_8 = e11 | all_22_11 = e11 % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (319) gives: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1815) all_24_8 = e23 % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1798), (1815) imply: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1816) all_14_14 = e23 % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1816) implies: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1817) all_14_14 = e23 % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1765), (1817) imply: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1818) $false % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1818) is inconsistent. % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1819) ~ (all_24_8 = e23) % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1820) all_24_9 = e22 | all_24_10 = e21 | all_24_11 = e20 % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (352) gives: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1821) all_26_8 = e13 % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1425), (1821) imply: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1822) all_12_14 = e13 % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1822) implies: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1823) all_12_14 = e13 % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1356), (1823) imply: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1824) $false % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1824) is inconsistent. % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1825) ~ (all_26_8 = e13) % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1826) all_26_9 = e12 | all_26_10 = e11 | all_26_11 = e10 % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (419) gives: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1827) ~ (all_28_0 = all_28_1) % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (965), (969), (1827) imply: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1828) $false % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1828) is inconsistent. % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1829) ~ (all_28_2 = all_28_3) | ~ (all_28_4 = % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_5) | ~ (all_28_6 = all_28_7) | ~ % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_8 = all_28_9) | ~ (all_28_10 = all_28_11) % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_12 = all_28_13) | ~ (all_28_14 = % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_15) | ~ (all_28_16 = all_28_17) | ~ % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_18 = all_28_19) | ~ (all_28_20 = % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_21) | ~ (all_28_22 = all_28_23) | ~ % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_24 = all_28_26) | ~ (all_28_27 = % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_29) | ~ (all_28_30 = all_28_32) | ~ % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_33 = all_28_35) | ( ~ (all_28_25 = e23) & % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_28 = e23) & ~ (all_28_31 = e23) & ~ % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & ~ % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e22) & ~ (all_28_31 = e22) & ~ % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e22)) | ( ~ (all_28_25 = e21) & ~ % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e21) & ~ (all_28_31 = e21) & ~ % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~ % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e20) & ~ (all_28_31 = e20) & ~ % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e20)) % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1109) gives: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1830) all_16_14 = e12 % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (671), (1830) imply: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1831) all_12_11 = e12 % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1831) implies: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1832) all_12_11 = e12 % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (64), (1832) imply: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1833) ~ (all_12_10 = e12) % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (822), (1832) imply: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1834) h4(e12) = all_28_32 % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1114) gives: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1835) all_16_10 = e12 % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (661), (1835) imply: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1836) all_12_10 = e12 % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1833), (1836) imply: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1837) $false % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1837) is inconsistent. % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1838) all_16_10 = e11 | all_16_10 = e10 % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1838) gives: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1839) all_16_10 = e11 % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (661), (1839) imply: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1840) all_12_10 = e11 % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (63), (1840) imply: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1841) ~ (all_12_14 = e11) % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1841) implies: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1842) ~ (all_12_14 = e11) % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (818), (1840) imply: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1843) h4(e11) = all_28_21 % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1382) gives: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1844) all_16_11 = e12 % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (1844) imply: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1845) all_12_14 = e12 % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (57), (1845) imply: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1846) ~ (all_12_15 = e12) % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1846) implies: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1847) ~ (all_12_15 = e12) % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (819), (1845) imply: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1848) h4(e12) = all_28_23 % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1437) gives: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1849) all_16_15 = e12 % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (672), (1847), (1849) are inconsistent by % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2. % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1850) all_16_15 = e11 | all_16_15 = e10 % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1850) gives: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1851) all_16_15 = e11 % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (672), (1851) imply: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1852) all_12_15 = e11 % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1852) implies: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1853) all_12_15 = e11 % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (823), (1853) imply: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1854) h4(e11) = all_28_35 % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with e21, all_28_21, e11, % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (986), (1843) gives: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1855) all_28_21 = e21 % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_28_35, all_28_21, e11, % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1843), (1854) gives: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1856) all_28_21 = all_28_35 % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with e22, all_28_23, e12, % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (824), (1848) gives: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1857) all_28_23 = e22 % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_28_32, all_28_23, e12, % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1834), (1848) gives: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1858) all_28_23 = all_28_32 % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1855), (1856) imply: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1859) all_28_35 = e21 % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1857), (1858) imply: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1860) all_28_32 = e22 % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1860) implies: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1861) all_28_32 = e22 % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1442) gives: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1862) all_18_14 = e22 % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (697), (1862) imply: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1863) all_14_11 = e22 % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1012), (1863) imply: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1864) all_28_30 = e22 % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (779), (1863) imply: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1865) ~ (all_10_1 = e22) % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1865) implies: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1866) ~ (all_10_1 = e22) % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (776), (1863) imply: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1867) ~ (all_4_1 = e22) % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1867) implies: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1868) ~ (all_4_1 = e22) % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1699) gives: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1869) all_18_10 = e22 % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (687), (1869) imply: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1870) all_4_1 = e22 % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1868), (1870) imply: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1871) $false % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1871) is inconsistent. % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1872) all_18_10 = e21 | all_18_10 = e20 % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1801) gives: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1873) all_18_15 = e22 % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (698), (1866), (1873) are inconsistent by % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #9. % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1874) all_18_15 = e21 | all_18_15 = e20 % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1872) gives: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1875) all_18_10 = e21 % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (687), (1875) imply: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1876) all_4_1 = e21 % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (994), (1876) imply: % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1877) all_28_20 = e21 % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (778), (1876) imply: % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1878) ~ (all_14_14 = e21) % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1804) gives: % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1879) all_18_11 = e22 % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (693), (1879) imply: % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1880) all_14_14 = e22 % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1015), (1880) imply: % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1881) all_28_22 = e22 % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1829) gives: % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1882) ~ (all_28_2 = all_28_3) % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (963), (985), (1882) imply: % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1883) $false % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1883) is inconsistent. % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1884) ~ (all_28_4 = all_28_5) | ~ (all_28_6 = % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_7) | ~ (all_28_8 = all_28_9) | ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_10 = all_28_11) | ~ (all_28_12 = % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_13) | ~ (all_28_14 = all_28_15) | ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_16 = all_28_17) | ~ (all_28_18 = % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_19) | ~ (all_28_20 = all_28_21) | ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_22 = all_28_23) | ~ (all_28_24 = % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_26) | ~ (all_28_27 = all_28_29) | ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_30 = all_28_32) | ~ (all_28_33 = % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_35) | ( ~ (all_28_25 = e23) & ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e23) & ~ (all_28_31 = e23) & ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e22) & ~ (all_28_31 = e22) & ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e22)) | ( ~ (all_28_25 = e21) & ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e21) & ~ (all_28_31 = e21) & ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e20) & ~ (all_28_31 = e20) & ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e20)) % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1874) gives: % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1885) all_18_15 = e21 % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (698), (1885) imply: % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1886) all_10_1 = e21 % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1011), (1886) imply: % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1887) all_28_33 = e21 % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1884) gives: % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1888) ~ (all_28_4 = all_28_5) % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (970), (998), (1888) imply: % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1889) $false % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1889) is inconsistent. % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1890) ~ (all_28_6 = all_28_7) | ~ (all_28_8 = % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_9) | ~ (all_28_10 = all_28_11) | ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_12 = all_28_13) | ~ (all_28_14 = % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_15) | ~ (all_28_16 = all_28_17) | ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_18 = all_28_19) | ~ (all_28_20 = % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_21) | ~ (all_28_22 = all_28_23) | ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_24 = all_28_26) | ~ (all_28_27 = % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_29) | ~ (all_28_30 = all_28_32) | ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_33 = all_28_35) | ( ~ (all_28_25 = e23) & % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_28 = e23) & ~ (all_28_31 = e23) & ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e22) & ~ (all_28_31 = e22) & ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e22)) | ( ~ (all_28_25 = e21) & ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e21) & ~ (all_28_31 = e21) & ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e20) & ~ (all_28_31 = e20) & ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e20)) % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1890) gives: % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1891) ~ (all_28_6 = all_28_7) % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1002), (1017), (1891) imply: % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1892) $false % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1892) is inconsistent. % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1893) ~ (all_28_8 = all_28_9) | ~ (all_28_10 = % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_11) | ~ (all_28_12 = all_28_13) | ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_14 = all_28_15) | ~ (all_28_16 = % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_17) | ~ (all_28_18 = all_28_19) | ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_20 = all_28_21) | ~ (all_28_22 = % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_23) | ~ (all_28_24 = all_28_26) | ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_27 = all_28_29) | ~ (all_28_30 = % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_32) | ~ (all_28_33 = all_28_35) | ( ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e23) & ~ (all_28_28 = e23) & ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e23) & ~ (all_28_34 = e23)) | ( ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e22) & ~ (all_28_28 = e22) & ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e22) & ~ (all_28_34 = e22)) | ( ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e21) & ~ (all_28_28 = e21) & ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e21) & ~ (all_28_34 = e21)) | ( ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e20) & ~ (all_28_28 = e20) & ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e20) & ~ (all_28_34 = e20)) % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1893) gives: % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1894) ~ (all_28_8 = all_28_9) % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1375), (1685), (1894) imply: % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1895) $false % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1895) is inconsistent. % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1896) ~ (all_28_10 = all_28_11) | ~ (all_28_12 = % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_13) | ~ (all_28_14 = all_28_15) | ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_16 = all_28_17) | ~ (all_28_18 = % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_19) | ~ (all_28_20 = all_28_21) | ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_22 = all_28_23) | ~ (all_28_24 = % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_26) | ~ (all_28_27 = all_28_29) | ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_30 = all_28_32) | ~ (all_28_33 = % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_35) | ( ~ (all_28_25 = e23) & ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e23) & ~ (all_28_31 = e23) & ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e22) & ~ (all_28_31 = e22) & ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e22)) | ( ~ (all_28_25 = e21) & ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e21) & ~ (all_28_31 = e21) & ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e20) & ~ (all_28_31 = e20) & ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e20)) % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1896) gives: % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1897) ~ (all_28_10 = all_28_11) % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1103), (1758), (1897) imply: % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1898) $false % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1898) is inconsistent. % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1899) ~ (all_28_12 = all_28_13) | ~ (all_28_14 = % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_15) | ~ (all_28_16 = all_28_17) | ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_18 = all_28_19) | ~ (all_28_20 = % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_21) | ~ (all_28_22 = all_28_23) | ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_24 = all_28_26) | ~ (all_28_27 = % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_29) | ~ (all_28_30 = all_28_32) | ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_33 = all_28_35) | ( ~ (all_28_25 = e23) & % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_28 = e23) & ~ (all_28_31 = e23) & ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e22) & ~ (all_28_31 = e22) & ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e22)) | ( ~ (all_28_25 = e21) & ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e21) & ~ (all_28_31 = e21) & ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e20) & ~ (all_28_31 = e20) & ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e20)) % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1899) gives: % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1900) ~ (all_28_12 = all_28_13) % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1000), (1001), (1900) imply: % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1901) $false % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1901) is inconsistent. % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1902) ~ (all_28_14 = all_28_15) | ~ (all_28_16 = % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_17) | ~ (all_28_18 = all_28_19) | ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_20 = all_28_21) | ~ (all_28_22 = % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_23) | ~ (all_28_24 = all_28_26) | ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_27 = all_28_29) | ~ (all_28_30 = % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_32) | ~ (all_28_33 = all_28_35) | ( ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e23) & ~ (all_28_28 = e23) & ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e23) & ~ (all_28_34 = e23)) | ( ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e22) & ~ (all_28_28 = e22) & ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e22) & ~ (all_28_34 = e22)) | ( ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e21) & ~ (all_28_28 = e21) & ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e21) & ~ (all_28_34 = e21)) | ( ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e20) & ~ (all_28_28 = e20) & ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e20) & ~ (all_28_34 = e20)) % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1902) gives: % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1903) ~ (all_28_14 = all_28_15) % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1376), (1763), (1903) imply: % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1904) $false % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1904) is inconsistent. % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1905) ~ (all_28_16 = all_28_17) | ~ (all_28_18 = % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_19) | ~ (all_28_20 = all_28_21) | ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_22 = all_28_23) | ~ (all_28_24 = % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_26) | ~ (all_28_27 = all_28_29) | ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_30 = all_28_32) | ~ (all_28_33 = % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_35) | ( ~ (all_28_25 = e23) & ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e23) & ~ (all_28_31 = e23) & ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e22) & ~ (all_28_31 = e22) & ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e22)) | ( ~ (all_28_25 = e21) & ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e21) & ~ (all_28_31 = e21) & ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e20) & ~ (all_28_31 = e20) & ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e20)) % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1905) gives: % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1906) ~ (all_28_16 = all_28_17) % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1427), (1776), (1906) imply: % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1907) $false % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1907) is inconsistent. % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1908) ~ (all_28_18 = all_28_19) | ~ (all_28_20 = % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_21) | ~ (all_28_22 = all_28_23) | ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_24 = all_28_26) | ~ (all_28_27 = % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_29) | ~ (all_28_30 = all_28_32) | ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_33 = all_28_35) | ( ~ (all_28_25 = e23) & % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_28 = e23) & ~ (all_28_31 = e23) & ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e22) & ~ (all_28_31 = e22) & ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e22)) | ( ~ (all_28_25 = e21) & ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e21) & ~ (all_28_31 = e21) & ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e20) & ~ (all_28_31 = e20) & ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e20)) % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1908) gives: % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1909) ~ (all_28_18 = all_28_19) % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1429), (1770), (1909) imply: % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1910) $false % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1910) is inconsistent. % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1911) ~ (all_28_20 = all_28_21) | ~ (all_28_22 = % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_23) | ~ (all_28_24 = all_28_26) | ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_27 = all_28_29) | ~ (all_28_30 = % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_32) | ~ (all_28_33 = all_28_35) | ( ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e23) & ~ (all_28_28 = e23) & ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e23) & ~ (all_28_34 = e23)) | ( ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e22) & ~ (all_28_28 = e22) & ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e22) & ~ (all_28_34 = e22)) | ( ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e21) & ~ (all_28_28 = e21) & ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e21) & ~ (all_28_34 = e21)) | ( ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e20) & ~ (all_28_28 = e20) & ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e20) & ~ (all_28_34 = e20)) % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1911) gives: % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1912) ~ (all_28_20 = all_28_21) % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1855), (1877), (1912) imply: % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1913) $false % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1913) is inconsistent. % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1914) ~ (all_28_22 = all_28_23) | ~ (all_28_24 = % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_26) | ~ (all_28_27 = all_28_29) | ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_30 = all_28_32) | ~ (all_28_33 = % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_35) | ( ~ (all_28_25 = e23) & ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e23) & ~ (all_28_31 = e23) & ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e22) & ~ (all_28_31 = e22) & ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e22)) | ( ~ (all_28_25 = e21) & ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e21) & ~ (all_28_31 = e21) & ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e20) & ~ (all_28_31 = e20) & ~ % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e20)) % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1914) gives: % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1915) ~ (all_28_22 = all_28_23) % 49.70/7.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1857), (1881), (1915) imply: % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1916) $false % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1916) is inconsistent. % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1917) ~ (all_28_24 = all_28_26) | ~ (all_28_27 = % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_29) | ~ (all_28_30 = all_28_32) | ~ % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_33 = all_28_35) | ( ~ (all_28_25 = e23) & % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_28 = e23) & ~ (all_28_31 = e23) & ~ % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & ~ % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e22) & ~ (all_28_31 = e22) & ~ % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e22)) | ( ~ (all_28_25 = e21) & ~ % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e21) & ~ (all_28_31 = e21) & ~ % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~ % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e20) & ~ (all_28_31 = e20) & ~ % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e20)) % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1917) gives: % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1918) ~ (all_28_24 = all_28_26) % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1432), (1785), (1918) imply: % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1919) $false % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1919) is inconsistent. % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1920) ~ (all_28_27 = all_28_29) | ~ (all_28_30 = % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_32) | ~ (all_28_33 = all_28_35) | ( ~ % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e23) & ~ (all_28_28 = e23) & ~ % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e23) & ~ (all_28_34 = e23)) | ( ~ % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e22) & ~ (all_28_28 = e22) & ~ % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e22) & ~ (all_28_34 = e22)) | ( ~ % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e21) & ~ (all_28_28 = e21) & ~ % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e21) & ~ (all_28_34 = e21)) | ( ~ % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e20) & ~ (all_28_28 = e20) & ~ % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e20) & ~ (all_28_34 = e20)) % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1920) gives: % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1921) ~ (all_28_27 = all_28_29) % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1431), (1796), (1921) imply: % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1922) $false % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1922) is inconsistent. % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1923) ~ (all_28_30 = all_28_32) | ~ (all_28_33 = % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_35) | ( ~ (all_28_25 = e23) & ~ % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e23) & ~ (all_28_31 = e23) & ~ % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & ~ % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e22) & ~ (all_28_31 = e22) & ~ % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e22)) | ( ~ (all_28_25 = e21) & ~ % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e21) & ~ (all_28_31 = e21) & ~ % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~ % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e20) & ~ (all_28_31 = e20) & ~ % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e20)) % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1923) gives: % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1924) ~ (all_28_30 = all_28_32) % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1861), (1864), (1924) imply: % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1925) $false % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1925) is inconsistent. % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1926) ~ (all_28_33 = all_28_35) | ( ~ (all_28_25 = e23) % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_28 = e23) & ~ (all_28_31 = e23) & % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_28 = e22) & ~ (all_28_31 = e22) & ~ % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e22)) | ( ~ (all_28_25 = e21) & ~ % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e21) & ~ (all_28_31 = e21) & ~ % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~ % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e20) & ~ (all_28_31 = e20) & ~ % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e20)) % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1926) gives: % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1927) ~ (all_28_33 = all_28_35) % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1859), (1887), (1927) imply: % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1928) $false % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1928) is inconsistent. % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1929) ( ~ (all_28_25 = e23) & ~ (all_28_28 = e23) & ~ % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e23) & ~ (all_28_34 = e23)) | ( ~ % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e22) & ~ (all_28_28 = e22) & ~ % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e22) & ~ (all_28_34 = e22)) | ( ~ % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e21) & ~ (all_28_28 = e21) & ~ % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e21) & ~ (all_28_34 = e21)) | ( ~ % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e20) & ~ (all_28_28 = e20) & ~ % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e20) & ~ (all_28_34 = e20)) % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1929) gives: % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1930) ( ~ (all_28_25 = e23) & ~ (all_28_28 = e23) & ~ % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e23) & ~ (all_28_34 = e23)) | ( ~ % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e22) & ~ (all_28_28 = e22) & ~ % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e22) & ~ (all_28_34 = e22)) % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1930) gives: % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1931) ~ (all_28_25 = e23) & ~ (all_28_28 = e23) & ~ % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e23) & ~ (all_28_34 = e23) % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1931) implies: % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1932) ~ (all_28_25 = e23) % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (550), (1932) imply: % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1933) $false % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1933) is inconsistent. % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1934) ~ (all_28_25 = e22) & ~ (all_28_28 = e22) & ~ % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e22) & ~ (all_28_34 = e22) % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1934) implies: % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1935) ~ (all_28_28 = e22) % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (740), (1935) imply: % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1936) $false % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1936) is inconsistent. % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1937) ( ~ (all_28_25 = e21) & ~ (all_28_28 = e21) & ~ % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e21) & ~ (all_28_34 = e21)) | ( ~ % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e20) & ~ (all_28_28 = e20) & ~ % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e20) & ~ (all_28_34 = e20)) % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1937) gives: % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1938) ~ (all_28_25 = e21) & ~ (all_28_28 = e21) & ~ % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e21) & ~ (all_28_34 = e21) % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1938) implies: % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1939) ~ (all_28_31 = e21) % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (984), (1939) imply: % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1940) $false % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1940) is inconsistent. % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1941) ~ (all_28_25 = e20) & ~ (all_28_28 = e20) & ~ % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e20) & ~ (all_28_34 = e20) % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1941) implies: % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1942) ~ (all_28_34 = e20) % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (999), (1942) imply: % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1943) $false % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1943) is inconsistent. % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1944) all_18_15 = e20 % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (698), (1944) imply: % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1945) all_10_1 = e20 % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (912), (1945) imply: % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1946) $false % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1946) is inconsistent. % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1947) all_18_11 = e21 | all_18_11 = e20 % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (693), (910), (1878), (1947) are inconsistent by % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #7. % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1948) all_18_10 = e20 % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (687), (1948) imply: % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1949) all_4_1 = e20 % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (772), (1949) imply: % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1950) $false % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1950) is inconsistent. % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1951) ~ (all_18_14 = e22) % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (697), (1951) imply: % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1952) ~ (all_14_11 = e22) % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1806) gives: % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1953) all_20_5 = e22 % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (715), (1953) imply: % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1954) e22 = e20 % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (1954) imply: % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1955) $false % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1955) is inconsistent. % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1956) all_20_8 = e22 | all_20_14 = e22 % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1956) gives: % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1957) all_20_8 = e22 % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (637), (1957) imply: % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1958) all_4_1 = e22 % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1958) implies: % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1959) all_4_1 = e22 % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (778), (1959) imply: % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1960) ~ (all_14_14 = e22) % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (35), (1959) imply: % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1961) op2(e21, e22) = all_4_0 % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (34), (1959) imply: % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1962) op2(e21, e21) = e22 % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1804) gives: % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1963) all_18_11 = e22 % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (693), (1963) imply: % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1964) all_14_14 = e22 % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1960), (1964) imply: % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1965) $false % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1965) is inconsistent. % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1966) all_18_11 = e21 | all_18_11 = e20 % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1966) gives: % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1967) all_18_11 = e21 % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (693), (1967) imply: % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1968) all_14_14 = e21 % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (859), (1968) imply: % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1969) op2(e21, e21) = all_24_11 % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (32) with e22, all_24_11, e21, e21, % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1962), (1969) gives: % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1970) all_24_11 = e22 % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (32) with e23, all_4_0, e22, e21, % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1772), (1961) gives: % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1971) all_4_0 = e23 % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (979), (1971) imply: % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1972) all_24_10 = e23 % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1820) gives: % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1973) all_24_9 = e22 % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1799), (1973) imply: % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1974) e22 = e20 % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (1974) imply: % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1975) $false % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1975) is inconsistent. % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1976) ~ (all_24_9 = e22) % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1977) all_24_10 = e21 | all_24_11 = e20 % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1977) gives: % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1978) all_24_10 = e21 % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1972), (1978) imply: % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1979) e23 = e21 % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1979) implies: % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1980) e23 = e21 % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12), (1980) imply: % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1981) $false % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1981) is inconsistent. % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1982) all_24_11 = e20 % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1970), (1982) imply: % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1983) e22 = e20 % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1983) implies: % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1984) e22 = e20 % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (1984) imply: % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1985) $false % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1985) is inconsistent. % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1986) all_18_11 = e20 % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (693), (1986) imply: % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1987) all_14_14 = e20 % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (910), (1987) imply: % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1988) $false % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1988) is inconsistent. % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1989) all_20_14 = e22 % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (490), (1989) imply: % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1990) all_14_11 = e22 % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1952), (1990) imply: % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1991) $false % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1991) is inconsistent. % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1992) all_16_15 = e10 % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (672), (941), (1992) are inconsistent by sub-proof % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #16. % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1993) all_16_11 = e11 | all_16_11 = e10 % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (665), (939), (1842), (1993) are inconsistent by % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #17. % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1994) all_16_10 = e10 % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (661), (1994) imply: % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1995) all_12_10 = e10 % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (805), (1995) imply: % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1996) $false % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1996) is inconsistent. % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1997) ~ (all_16_14 = e12) % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (671), (1997) imply: % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1998) ~ (all_12_11 = e12) % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1810) gives: % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1999) all_22_5 = e12 % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (717), (1999) imply: % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2000) e12 = e10 % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2000) implies: % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2001) e12 = e10 % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (2001) imply: % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2002) $false % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2002) is inconsistent. % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2003) all_22_8 = e12 | all_22_14 = e12 % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2003) gives: % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2004) all_22_8 = e12 % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (440), (2004) imply: % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2005) all_12_10 = e12 % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2005) implies: % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2006) all_12_10 = e12 % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (870), (2006) imply: % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2007) op1(e11, e12) = all_26_10 % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (104), (2006) imply: % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2008) op1(e11, e11) = e12 % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1814) gives: % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2009) all_22_7 = e11 % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1386), (2009) imply: % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2010) e13 = e11 % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2010) implies: % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2011) e13 = e11 % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (929), (2011) imply: % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2012) $false % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2012) is inconsistent. % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2013) all_22_8 = e11 | all_22_11 = e11 % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2013) gives: % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2014) all_22_8 = e11 % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2004), (2014) imply: % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2015) e12 = e11 % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2015) implies: % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2016) e12 = e11 % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1101), (2016) imply: % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2017) $false % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2017) is inconsistent. % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2018) all_22_11 = e11 % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (613), (2018) imply: % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2019) all_12_14 = e11 % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1356), (2019) imply: % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2020) ~ (e13 = e11) % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (871), (2019) imply: % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2021) op1(e11, e11) = all_26_11 % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with e12, all_26_11, e11, e11, % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2008), (2021) gives: % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2022) all_26_11 = e12 % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with e13, all_26_10, e12, e11, % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1391), (2007) gives: % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2023) all_26_10 = e13 % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1826) gives: % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2024) all_26_9 = e12 % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1426), (2024) imply: % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2025) e12 = e10 % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (2025) imply: % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2026) $false % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2026) is inconsistent. % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2027) ~ (all_26_9 = e12) % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2028) all_26_10 = e11 | all_26_11 = e10 % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2028) gives: % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2029) all_26_10 = e11 % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2023), (2029) imply: % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2030) e13 = e11 % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (929), (2030) imply: % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2031) $false % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2031) is inconsistent. % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2032) all_26_11 = e10 % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2022), (2032) imply: % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2033) e12 = e10 % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2033) implies: % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2034) e12 = e10 % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (2034) imply: % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2035) $false % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2035) is inconsistent. % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2036) all_22_14 = e12 % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (607), (2036) imply: % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2037) all_12_11 = e12 % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1998), (2037) imply: % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2038) $false % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2038) is inconsistent. % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2039) all_20_14 = e20 % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (490), (2039) imply: % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2040) all_14_11 = e20 % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2040) implies: % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2041) all_14_11 = e20 % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (774), (2041) imply: % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2042) $false % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2042) is inconsistent. % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2043) all_18_12 = e22 | all_18_12 = e21 | all_18_12 = % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (52), (53), (144), (145), (159), (160), % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (161), (218), (220), (222), (251), (317), (318), % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (490), (498), (501), (637), (693), (695), (696), % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (698), (715), (718), (746), (756), (768), (778), % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (779), (860), (861), (862), (879), (880), (910), % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (981), (1687), (1757), (1760), (1765), (2043) are % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #4. % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2044) all_20_7 = e20 | all_20_8 = e20 | all_20_11 = e20 % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2044) gives: % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2045) all_20_7 = e20 % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1769), (2045) imply: % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2046) e23 = e20 % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2046) implies: % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2047) e23 = e20 % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (2047) imply: % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2048) $false % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2048) is inconsistent. % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2049) all_20_8 = e20 | all_20_11 = e20 % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2049) gives: % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2050) all_20_8 = e20 % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (637), (2050) imply: % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2051) all_4_1 = e20 % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2051) implies: % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2052) all_4_1 = e20 % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (772), (2052) imply: % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2053) $false % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2053) is inconsistent. % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2054) all_20_11 = e20 % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (645), (2054) imply: % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2055) all_14_14 = e20 % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2055) implies: % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2056) all_14_14 = e20 % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (910), (2056) imply: % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2057) $false % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2057) is inconsistent. % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2058) ~ (all_18_9 = e23) % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2059) all_18_9 = e22 | all_18_9 = e21 | all_18_9 = e20 % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (2058) imply: % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2060) ~ (all_14_6 = e23) % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (250) gives: % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2061) all_20_6 = e23 % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (509), (2061) imply: % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2062) all_14_2 = e23 % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2062) implies: % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2063) all_14_2 = e23 % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (2063) imply: % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2064) ~ (all_14_3 = e23) % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2064) implies: % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2065) ~ (all_14_3 = e23) % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives: % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2066) all_18_12 = e23 % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (695), (2065), (2066) are inconsistent by % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #12. % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2067) all_18_12 = e22 | all_18_12 = e21 | all_18_12 = % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (52), (53), (144), (145), (159), (160), % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (161), (218), (220), (222), (251), (317), (318), % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (490), (498), (501), (637), (693), (695), (696), % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (698), (715), (718), (746), (756), (768), (778), % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (779), (860), (861), (862), (879), (880), (910), % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (981), (1687), (1757), (1760), (1765), (2067) are % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #4. % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2068) all_20_7 = e23 | all_20_8 = e23 | all_20_11 = e23 % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2059) gives: % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2069) all_18_9 = e22 % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (685), (2069) imply: % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2070) all_14_6 = e22 % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2070) implies: % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2071) all_14_6 = e22 % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1759), (2071) imply: % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2072) $false % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2072) is inconsistent. % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2073) all_18_9 = e21 | all_18_9 = e20 % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2073) gives: % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2074) all_18_9 = e21 % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (685), (2074) imply: % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2075) all_14_6 = e21 % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2075) implies: % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2076) all_14_6 = e21 % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (754), (2076) imply: % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2077) $false % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2077) is inconsistent. % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2078) all_18_9 = e20 % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (685), (2078) imply: % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2079) all_14_6 = e20 % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2079) implies: % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2080) all_14_6 = e20 % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (629), (2080) imply: % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2081) all_20_7 = e20 % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2068) gives: % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2082) all_20_7 = e23 % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2081), (2082) imply: % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2083) e23 = e20 % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (2083) imply: % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2084) $false % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2084) is inconsistent. % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2085) all_20_8 = e23 | all_20_11 = e23 % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2085) gives: % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2086) all_20_8 = e23 % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (637), (2086) imply: % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2087) all_4_1 = e23 % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2087) implies: % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2088) all_4_1 = e23 % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (886), (2088) imply: % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2089) $false % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2089) is inconsistent. % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2090) all_20_11 = e23 % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (645), (2090) imply: % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2091) all_14_14 = e23 % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2091) implies: % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2092) all_14_14 = e23 % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1765), (2092) imply: % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2093) $false % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2093) is inconsistent. % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2094) ~ (all_18_7 = e23) % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (691), (2094) imply: % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2095) ~ (all_14_13 = e23) % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1754) gives: % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2096) all_20_5 = e23 % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (715), (2096) imply: % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2097) e23 = e20 % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2097) implies: % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2098) e23 = e20 % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (2098) imply: % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2099) $false % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2099) is inconsistent. % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2100) all_20_10 = e23 % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (512), (2100) imply: % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2101) all_14_13 = e23 % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2095), (2101) imply: % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2102) $false % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2102) is inconsistent. % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2103) all_18_5 = e21 | all_18_5 = e20 % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (678), (752), (765), (2103) are inconsistent by % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3. % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2104) all_18_4 = e20 % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (677), (2104) imply: % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2105) all_14_1 = e20 % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2105) implies: % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2106) all_14_1 = e20 % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (748), (2106) imply: % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2107) $false % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2107) is inconsistent. % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2108) all_22_14 = e10 % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (607), (2108) imply: % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2109) all_12_11 = e10 % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2109) implies: % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2110) all_12_11 = e10 % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (807), (2110) imply: % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2111) $false % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2111) is inconsistent. % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | (2112) all_22_13 = e13 | all_22_14 = e13 | all_22_15 = % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | e13 % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2112) gives: % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | (2113) all_22_13 = e13 % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (599), (2113) imply: % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | (2114) all_12_7 = e13 % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2114) implies: % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | (2115) all_12_7 = e13 % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1388), (2115) imply: % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | (2116) $false % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2116) is inconsistent. % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | (2117) all_22_14 = e13 | all_22_15 = e13 % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2117) gives: % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | (2118) all_22_14 = e13 % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (607), (2118) imply: % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | (2119) all_12_11 = e13 % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2119) implies: % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | (2120) all_12_11 = e13 % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (925), (2120) imply: % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | (2121) $false % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2121) is inconsistent. % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | (2122) all_22_15 = e13 % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (614), (2122) imply: % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | (2123) all_12_15 = e13 % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2123) implies: % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | (2124) all_12_15 = e13 % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1358), (2124) imply: % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | (2125) $false % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2125) is inconsistent. % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | End of split % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | (2126) ~ (all_16_9 = e13) % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (659), (2126) imply: % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | (2127) ~ (all_12_6 = e13) % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (278) gives: % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | (2128) all_22_6 = e13 % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (590), (2128) imply: % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | (2129) all_12_2 = e13 % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2129) implies: % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | (2130) all_12_2 = e13 % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (88), (2130) imply: % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | (2131) ~ (all_12_3 = e13) % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2131) implies: % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | (2132) ~ (all_12_3 = e13) % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (87), (2130) imply: % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | (2133) ~ (all_12_6 = e13) % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives: % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | (2134) all_16_12 = e13 % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (667), (2132), (2134) are inconsistent by % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #24. % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | (2135) all_16_12 = e12 | all_16_12 = e11 | all_16_12 = % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | e10 % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (283) gives: % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | (2136) all_22_1 = e13 % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (593), (2136) imply: % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | (2137) e13 = e11 % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (929), (2137) imply: % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | (2138) $false % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2138) is inconsistent. % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | (2139) all_22_3 = e13 | all_22_7 = e13 | all_22_13 = e13 % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2139) gives: % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (2140) all_22_3 = e13 % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1094), (2140) imply: % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (2141) e13 = e12 % 49.70/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (928), (2141) imply: % 50.00/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (2142) $false % 50.00/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2142) is inconsistent. % 50.00/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 50.00/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (2143) all_22_7 = e13 | all_22_13 = e13 % 50.00/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2143) gives: % 50.00/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 50.00/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2144) all_22_7 = e13 % 50.00/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (598), (2127), (2144) are inconsistent by % 50.00/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1. % 50.00/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 50.00/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2145) all_22_13 = e13 % 50.00/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (599), (2145) imply: % 50.00/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2146) all_12_7 = e13 % 50.00/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2146) implies: % 50.00/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2147) all_12_7 = e13 % 50.00/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (873), (2147) imply: % 50.00/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2148) op1(e10, e13) = all_26_13 % 50.00/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (101), (2147) imply: % 50.00/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2149) op1(e10, e12) = e13 % 50.00/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (274) gives: % 50.00/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 50.00/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2150) all_22_15 = e10 % 50.00/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (614), (941), (2150) are inconsistent by sub-proof % 50.00/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #15. % 50.00/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 50.00/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2151) (all_22_9 = e10 | all_22_10 = e10 | all_22_11 = % 50.00/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10) & (all_22_12 = e10 | all_22_13 = e10 | % 50.00/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_14 = e10) % 50.00/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2151) implies: % 50.00/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2152) all_22_12 = e10 | all_22_13 = e10 | all_22_14 = % 50.00/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10 % 50.00/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2152) gives: % 50.00/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 50.00/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2153) all_22_12 = e10 % 50.00/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (592), (2153) imply: % 50.00/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2154) all_12_3 = e10 % 50.00/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2154) implies: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2155) all_12_3 = e10 % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (578), (2155) imply: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2156) all_26_19 = e10 % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (872), (2155) imply: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2157) op1(e10, e10) = all_26_12 % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (102), (2155) imply: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2158) op1(e10, e13) = e10 % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (350) gives: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2159) ( ~ (all_26_16 = e13) & ~ (all_26_17 = e12) & ~ % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_18 = e11) & ~ (all_26_19 = e10)) | ( ~ % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_20 = e13) & ~ (all_26_21 = e12) & ~ % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_22 = e11) & ~ (all_26_23 = e10)) % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2159) gives: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2160) ~ (all_26_16 = e13) & ~ (all_26_17 = e12) & ~ % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_18 = e11) & ~ (all_26_19 = e10) % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2160) implies: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2161) ~ (all_26_19 = e10) % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2156), (2161) imply: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2162) $false % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2162) is inconsistent. % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2163) ~ (all_26_20 = e13) & ~ (all_26_21 = e12) & ~ % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_22 = e11) & ~ (all_26_23 = e10) % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2163) implies: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2164) ~ (all_26_21 = e12) % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1095), (2164) imply: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2165) $false % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2165) is inconsistent. % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2166) ( ~ (all_26_24 = e13) & ~ (all_26_25 = e12) & ~ % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_26 = e11) & ~ (all_26_27 = e10)) | ( ~ % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_28 = e13) & ~ (all_26_29 = e12) & ~ % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e11) & ~ (all_26_31 = e10)) % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2166) gives: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2167) ~ (all_26_24 = e13) & ~ (all_26_25 = e12) & ~ % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_26 = e11) & ~ (all_26_27 = e10) % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2167) implies: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2168) ~ (all_26_24 = e13) % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (921), (2168) imply: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2169) $false % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2169) is inconsistent. % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2170) ~ (all_26_28 = e13) & ~ (all_26_29 = e12) & ~ % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_26_30 = e11) & ~ (all_26_31 = e10) % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2170) implies: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2171) ~ (all_26_31 = e10) % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2172) ~ (all_26_30 = e11) % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (575), (2172) imply: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2173) ~ (all_12_14 = e11) % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1382) gives: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2174) all_16_11 = e12 % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (2174) imply: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2175) all_12_14 = e12 % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2175) implies: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2176) all_12_14 = e12 % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (63), (2176) imply: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2177) ~ (all_12_10 = e12) % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (57), (2176) imply: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2178) ~ (all_12_15 = e12) % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2178) implies: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2179) ~ (all_12_15 = e12) % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2180) all_16_15 = e13 % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (672), (2180) imply: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2181) all_12_15 = e13 % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1358), (2181) imply: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2182) $false % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2182) is inconsistent. % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2183) ~ (all_16_15 = e13) % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2184) all_16_15 = e12 | all_16_15 = e11 | all_16_15 = % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10 % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2184) gives: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2185) all_16_15 = e12 % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (672), (2179), (2185) are inconsistent by % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2. % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2186) all_16_15 = e11 | all_16_15 = e10 % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2186) gives: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2187) all_16_15 = e11 % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (672), (2187) imply: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2188) all_12_15 = e11 % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2188) implies: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2189) all_12_15 = e11 % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1358), (2189) imply: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2190) ~ (e13 = e11) % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (875), (2189) imply: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2191) op1(e10, e11) = all_26_15 % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (99), (2189) imply: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2192) op1(e10, e10) = e11 % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1109) gives: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2193) all_16_14 = e12 % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (671), (2193) imply: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2194) all_12_11 = e12 % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (874), (2194) imply: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2195) op1(e10, e12) = all_26_14 % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (100), (2194) imply: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2196) op1(e10, e11) = e12 % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with e11, all_26_12, e10, e10, % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2157), (2192) gives: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2197) all_26_12 = e11 % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with e12, all_26_15, e11, e10, % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2191), (2196) gives: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2198) all_26_15 = e12 % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with e13, all_26_14, e12, e10, % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2149), (2195) gives: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2199) all_26_14 = e13 % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with e10, all_26_13, e13, e10, % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2148), (2158) gives: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2200) all_26_13 = e10 % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (351) gives: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2201) all_26_12 = e13 % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2197), (2201) imply: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2202) e13 = e11 % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (929), (2202) imply: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2203) $false % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2203) is inconsistent. % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2204) ~ (all_26_12 = e13) % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2205) all_26_13 = e12 | all_26_14 = e11 | all_26_15 = % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10 % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2205) gives: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2206) all_26_13 = e12 % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2200), (2206) imply: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2207) e12 = e10 % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (2207) imply: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2208) $false % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2208) is inconsistent. % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2209) ~ (all_26_13 = e12) % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2210) all_26_14 = e11 | all_26_15 = e10 % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2210) gives: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2211) all_26_14 = e11 % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2199), (2211) imply: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2212) e13 = e11 % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2212) implies: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2213) e13 = e11 % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (929), (2213) imply: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2214) $false % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2214) is inconsistent. % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2215) all_26_15 = e10 % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2198), (2215) imply: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2216) e12 = e10 % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2216) implies: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2217) e12 = e10 % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (2217) imply: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2218) $false % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2218) is inconsistent. % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2219) ~ (all_16_14 = e12) % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (671), (2219) imply: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2220) ~ (all_12_11 = e12) % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (279) gives: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2221) all_22_4 = e12 % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (920), (928), (2221) are inconsistent by sub-proof % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #18. % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2222) all_22_5 = e12 | all_22_8 = e12 | all_22_14 = e12 % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2222) gives: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2223) all_22_5 = e12 % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (717), (2223) imply: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2224) e12 = e10 % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (2224) imply: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2225) $false % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2225) is inconsistent. % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2226) all_22_8 = e12 | all_22_14 = e12 % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2226) gives: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2227) all_22_8 = e12 % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (440), (2227) imply: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2228) all_12_10 = e12 % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2228) implies: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2229) all_12_10 = e12 % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2177), (2229) imply: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2230) $false % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2230) is inconsistent. % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2231) all_22_14 = e12 % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (607), (2231) imply: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2232) all_12_11 = e12 % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2232) implies: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2233) all_12_11 = e12 % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2220), (2233) imply: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2234) $false % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2234) is inconsistent. % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2235) all_16_15 = e10 % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (672), (941), (2235) are inconsistent by sub-proof % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #16. % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2236) all_16_11 = e11 | all_16_11 = e10 % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (665), (939), (2173), (2236) are inconsistent by % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #17. % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2237) ~ (all_22_12 = e10) % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (592), (2237) imply: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2238) ~ (all_12_3 = e10) % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (667), (788), (1372), (2135), (2238) are % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #23. % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | End of split % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | (2239) all_22_7 = e13 | all_22_8 = e13 | all_22_11 = e13 % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2239) gives: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | (2240) all_22_7 = e13 % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (598), (2127), (2240) are inconsistent by % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1. % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 50.00/7.88 | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.89 | | | | | | | | | | | | | | | | | | | | | | | | (2241) all_22_8 = e13 | all_22_11 = e13 % 50.00/7.89 | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.89 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2241) gives: % 50.00/7.89 | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.89 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 50.00/7.89 | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.89 | | | | | | | | | | | | | | | | | | | | | | | | | (2242) all_22_8 = e13 % 50.00/7.89 | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.89 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (440), (2242) imply: % 50.00/7.89 | | | | | | | | | | | | | | | | | | | | | | | | | (2243) all_12_10 = e13 % 50.00/7.89 | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.89 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2243) implies: % 50.00/7.89 | | | | | | | | | | | | | | | | | | | | | | | | | (2244) all_12_10 = e13 % 50.00/7.89 | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.89 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (923), (2244) imply: % 50.00/7.89 | | | | | | | | | | | | | | | | | | | | | | | | | (2245) $false % 50.00/7.89 | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.89 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2245) is inconsistent. % 50.00/7.89 | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.89 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 50.00/7.89 | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.89 | | | | | | | | | | | | | | | | | | | | | | | | | (2246) all_22_11 = e13 % 50.00/7.89 | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.89 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (613), (2246) imply: % 50.00/7.89 | | | | | | | | | | | | | | | | | | | | | | | | | (2247) all_12_14 = e13 % 50.00/7.89 | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.89 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2247) implies: % 50.00/7.89 | | | | | | | | | | | | | | | | | | | | | | | | | (2248) all_12_14 = e13 % 50.00/7.89 | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.89 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1356), (2248) imply: % 50.00/7.89 | | | | | | | | | | | | | | | | | | | | | | | | | (2249) $false % 50.00/7.89 | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.89 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2249) is inconsistent. % 50.00/7.89 | | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.89 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 50.00/7.89 | | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.89 | | | | | | | | | | | | | | | | | | | | | | | End of split % 50.00/7.89 | | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.89 | | | | | | | | | | | | | | | | | | | | | | End of split % 50.00/7.89 | | | | | | | | | | | | | | | | | | | | | | % 50.00/7.89 | | | | | | | | | | | | | | | | | | | | | End of split % 50.00/7.89 | | | | | | | | | | | | | | | | | | | | | % 50.00/7.89 | | | | | | | | | | | | | | | | | | | | End of split % 50.00/7.89 | | | | | | | | | | | | | | | | | | | | % 50.00/7.89 | | | | | | | | | | | | | | | | | | | Case 2: % 50.00/7.89 | | | | | | | | | | | | | | | | | | | | % 50.00/7.89 | | | | | | | | | | | | | | | | | | | | (2250) all_16_4 = e10 % 50.00/7.89 | | | | | | | | | | | | | | | | | | | | % 50.00/7.89 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (652), (2250) imply: % 50.00/7.89 | | | | | | | | | | | | | | | | | | | | (2251) all_12_1 = e10 % 50.00/7.89 | | | | | | | | | | | | | | | | | | | | % 50.00/7.89 | | | | | | | | | | | | | | | | | | | | SIMP: (2251) implies: % 50.00/7.89 | | | | | | | | | | | | | | | | | | | | (2252) all_12_1 = e10 % 50.00/7.89 | | | | | | | | | | | | | | | | | | | | % 50.00/7.89 | | | | | | | | | | | | | | | | | | | | REDUCE: (793), (2252) imply: % 50.00/7.89 | | | | | | | | | | | | | | | | | | | | (2253) $false % 50.00/7.89 | | | | | | | | | | | | | | | | | | | | % 50.00/7.89 | | | | | | | | | | | | | | | | | | | | CLOSE: (2253) is inconsistent. % 50.00/7.89 | | | | | | | | | | | | | | | | | | | | % 50.00/7.89 | | | | | | | | | | | | | | | | | | | End of split % 50.00/7.89 | | | | | | | | | | | | | | | | | | | % 50.00/7.89 | | | | | | | | | | | | | | | | | | End of split % 50.00/7.89 | | | | | | | | | | | | | | | | | | % 50.00/7.89 | | | | | | | | | | | | | | | | | End of split % 50.00/7.89 | | | | | | | | | | | | | | | | | % 50.00/7.89 | | | | | | | | | | | | | | | | End of split % 50.00/7.89 | | | | | | | | | | | | | | | | % 50.00/7.89 | | | | | | | | | | | | | | | End of split % 50.00/7.89 | | | | | | | | | | | | | | | % 50.00/7.89 | | | | | | | | | | | | | | End of split % 50.00/7.89 | | | | | | | | | | | | | | % 50.00/7.89 | | | | | | | | | | | | | End of split % 50.00/7.89 | | | | | | | | | | | | | % 50.00/7.89 | | | | | | | | | | | | End of split % 50.00/7.89 | | | | | | | | | | | | % 50.00/7.89 | | | | | | | | | | | Case 2: % 50.00/7.89 | | | | | | | | | | | | % 50.00/7.89 | | | | | | | | | | | | (2254) all_16_5 = e11 | all_16_5 = e10 % 50.00/7.89 | | | | | | | | | | | | % 50.00/7.89 | | | | | | | | | | | | BETA: splitting (2254) gives: % 50.00/7.89 | | | | | | | | | | | | % 50.00/7.89 | | | | | | | | | | | | Case 1: % 50.00/7.89 | | | | | | | | | | | | | % 50.00/7.89 | | | | | | | | | | | | | (2255) all_16_5 = e11 % 50.00/7.89 | | | | | | | | | | | | | % 50.00/7.89 | | | | | | | | | | | | | COMBINE_EQS: (653), (2255) imply: % 50.00/7.89 | | | | | | | | | | | | | (2256) all_12_5 = e11 % 50.00/7.89 | | | | | | | | | | | | | % 50.00/7.89 | | | | | | | | | | | | | SIMP: (2256) implies: % 50.00/7.89 | | | | | | | | | | | | | (2257) all_12_5 = e11 % 50.00/7.89 | | | | | | | | | | | | | % 50.00/7.89 | | | | | | | | | | | | | REDUCE: (795), (2257) imply: % 50.00/7.89 | | | | | | | | | | | | | (2258) $false % 50.00/7.89 | | | | | | | | | | | | | % 50.00/7.89 | | | | | | | | | | | | | CLOSE: (2258) is inconsistent. % 50.00/7.89 | | | | | | | | | | | | | % 50.00/7.89 | | | | | | | | | | | | Case 2: % 50.00/7.89 | | | | | | | | | | | | | % 50.00/7.89 | | | | | | | | | | | | | (2259) all_16_5 = e10 % 50.00/7.89 | | | | | | | | | | | | | % 50.00/7.89 | | | | | | | | | | | | | COMBINE_EQS: (653), (2259) imply: % 50.00/7.89 | | | | | | | | | | | | | (2260) all_12_5 = e10 % 50.00/7.89 | | | | | | | | | | | | | % 50.00/7.89 | | | | | | | | | | | | | SIMP: (2260) implies: % 50.00/7.89 | | | | | | | | | | | | | (2261) all_12_5 = e10 % 50.00/7.89 | | | | | | | | | | | | | % 50.00/7.89 | | | | | | | | | | | | | REDUCE: (802), (2261) imply: % 50.00/7.89 | | | | | | | | | | | | | (2262) $false % 50.00/7.89 | | | | | | | | | | | | | % 50.00/7.89 | | | | | | | | | | | | | CLOSE: (2262) is inconsistent. % 50.00/7.89 | | | | | | | | | | | | | % 50.00/7.89 | | | | | | | | | | | | End of split % 50.00/7.89 | | | | | | | | | | | | % 50.00/7.89 | | | | | | | | | | | End of split % 50.00/7.89 | | | | | | | | | | | % 50.00/7.89 | | | | | | | | | | End of split % 50.00/7.89 | | | | | | | | | | % 50.00/7.89 | | | | | | | | | End of split % 50.00/7.89 | | | | | | | | | % 50.00/7.89 | | | | | | | | End of split % 50.00/7.89 | | | | | | | | % 50.00/7.89 | | | | | | | Case 2: % 50.00/7.89 | | | | | | | | % 50.00/7.89 | | | | | | | | (2263) all_16_2 = e12 | all_16_2 = e11 | all_16_2 = e10 % 50.00/7.89 | | | | | | | | % 50.00/7.89 | | | | | | | | BETA: splitting (2263) gives: % 50.00/7.89 | | | | | | | | % 50.00/7.89 | | | | | | | | Case 1: % 50.00/7.89 | | | | | | | | | % 50.00/7.89 | | | | | | | | | (2264) all_16_2 = e12 % 50.00/7.89 | | | | | | | | | % 50.00/7.89 | | | | | | | | | COMBINE_EQS: (654), (2264) imply: % 50.00/7.89 | | | | | | | | | (2265) all_12_8 = e12 % 50.00/7.89 | | | | | | | | | % 50.00/7.89 | | | | | | | | | SIMP: (2265) implies: % 50.00/7.89 | | | | | | | | | (2266) all_12_8 = e12 % 50.00/7.89 | | | | | | | | | % 50.00/7.89 | | | | | | | | | REDUCE: (790), (2266) imply: % 50.00/7.89 | | | | | | | | | (2267) $false % 50.00/7.89 | | | | | | | | | % 50.00/7.89 | | | | | | | | | CLOSE: (2267) is inconsistent. % 50.00/7.89 | | | | | | | | | % 50.00/7.89 | | | | | | | | Case 2: % 50.00/7.89 | | | | | | | | | % 50.00/7.89 | | | | | | | | | (2268) all_16_2 = e11 | all_16_2 = e10 % 50.00/7.89 | | | | | | | | | % 50.00/7.89 | | | | | | | | | BETA: splitting (2268) gives: % 50.00/7.89 | | | | | | | | | % 50.00/7.89 | | | | | | | | | Case 1: % 50.00/7.89 | | | | | | | | | | % 50.00/7.89 | | | | | | | | | | (2269) all_16_2 = e11 % 50.00/7.89 | | | | | | | | | | % 50.00/7.89 | | | | | | | | | | COMBINE_EQS: (654), (2269) imply: % 50.00/7.89 | | | | | | | | | | (2270) all_12_8 = e11 % 50.00/7.89 | | | | | | | | | | % 50.00/7.89 | | | | | | | | | | SIMP: (2270) implies: % 50.00/7.89 | | | | | | | | | | (2271) all_12_8 = e11 % 50.00/7.89 | | | | | | | | | | % 50.00/7.89 | | | | | | | | | | REDUCE: (799), (2271) imply: % 50.00/7.89 | | | | | | | | | | (2272) $false % 50.00/7.89 | | | | | | | | | | % 50.00/7.89 | | | | | | | | | | CLOSE: (2272) is inconsistent. % 50.00/7.89 | | | | | | | | | | % 50.00/7.89 | | | | | | | | | Case 2: % 50.00/7.89 | | | | | | | | | | % 50.00/7.89 | | | | | | | | | | (2273) all_16_2 = e10 % 50.00/7.89 | | | | | | | | | | % 50.00/7.89 | | | | | | | | | | COMBINE_EQS: (654), (2273) imply: % 50.00/7.89 | | | | | | | | | | (2274) all_12_8 = e10 % 50.00/7.89 | | | | | | | | | | % 50.00/7.89 | | | | | | | | | | SIMP: (2274) implies: % 50.00/7.89 | | | | | | | | | | (2275) all_12_8 = e10 % 50.00/7.89 | | | | | | | | | | % 50.00/7.89 | | | | | | | | | | REDUCE: (803), (2275) imply: % 50.00/7.89 | | | | | | | | | | (2276) $false % 50.00/7.89 | | | | | | | | | | % 50.00/7.89 | | | | | | | | | | CLOSE: (2276) is inconsistent. % 50.00/7.89 | | | | | | | | | | % 50.00/7.89 | | | | | | | | | End of split % 50.00/7.89 | | | | | | | | | % 50.00/7.89 | | | | | | | | End of split % 50.00/7.89 | | | | | | | | % 50.00/7.89 | | | | | | | End of split % 50.00/7.89 | | | | | | | % 50.00/7.89 | | | | | | End of split % 50.00/7.89 | | | | | | % 50.00/7.89 | | | | | End of split % 50.00/7.89 | | | | | % 50.00/7.89 | | | | End of split % 50.00/7.89 | | | | % 50.00/7.89 | | | End of split % 50.00/7.89 | | | % 50.00/7.89 | | End of split % 50.00/7.89 | | % 50.00/7.89 | Case 2: % 50.00/7.89 | | % 50.00/7.89 | | (2277) ~ (all_18_2 = e23) % 50.00/7.89 | | % 50.00/7.89 | | REDUCE: (680), (2277) imply: % 50.00/7.89 | | (2278) ~ (all_14_8 = e23) % 50.00/7.89 | | % 50.00/7.89 | | BETA: splitting (255) gives: % 50.00/7.89 | | % 50.00/7.89 | | Case 1: % 50.00/7.89 | | | % 50.00/7.89 | | | (2279) all_20_0 = e20 % 50.00/7.89 | | | % 50.00/7.89 | | | REF_CLOSE: (10), (617), (2279) are inconsistent by sub-proof #26. % 50.00/7.89 | | | % 50.00/7.89 | | Case 2: % 50.00/7.89 | | | % 50.00/7.89 | | | (2280) all_20_1 = e20 | all_20_4 = e20 | all_20_9 = e20 % 50.00/7.89 | | | % 50.00/7.89 | | | BETA: splitting (2280) gives: % 50.00/7.89 | | | % 50.00/7.89 | | | Case 1: % 50.00/7.89 | | | | % 50.00/7.89 | | | | (2281) all_20_1 = e20 % 50.00/7.89 | | | | % 50.00/7.89 | | | | REF_CLOSE: (9), (716), (2281) are inconsistent by sub-proof #25. % 50.00/7.89 | | | | % 50.00/7.89 | | | Case 2: % 50.00/7.89 | | | | % 50.00/7.89 | | | | (2282) all_20_4 = e20 | all_20_9 = e20 % 50.00/7.89 | | | | % 50.00/7.89 | | | | BETA: splitting (256) gives: % 50.00/7.89 | | | | % 50.00/7.89 | | | | Case 1: % 50.00/7.89 | | | | | % 50.00/7.89 | | | | | (2283) all_20_0 = e23 % 50.00/7.89 | | | | | % 50.00/7.89 | | | | | COMBINE_EQS: (617), (2283) imply: % 50.00/7.89 | | | | | (2284) e23 = e22 % 50.00/7.89 | | | | | % 50.00/7.89 | | | | | REDUCE: (13), (2284) imply: % 50.00/7.89 | | | | | (2285) $false % 50.00/7.89 | | | | | % 50.00/7.89 | | | | | CLOSE: (2285) is inconsistent. % 50.00/7.89 | | | | | % 50.00/7.89 | | | | Case 2: % 50.00/7.89 | | | | | % 50.00/7.89 | | | | | (2286) all_20_1 = e23 | all_20_4 = e23 | all_20_9 = e23 % 50.00/7.89 | | | | | % 50.00/7.89 | | | | | BETA: splitting (2282) gives: % 50.00/7.89 | | | | | % 50.00/7.89 | | | | | Case 1: % 50.00/7.89 | | | | | | % 50.00/7.89 | | | | | | (2287) all_20_4 = e20 % 50.00/7.89 | | | | | | % 50.00/7.89 | | | | | | COMBINE_EQS: (529), (2287) imply: % 50.00/7.89 | | | | | | (2288) all_14_8 = e20 % 50.00/7.89 | | | | | | % 50.00/7.89 | | | | | | SIMP: (2288) implies: % 50.00/7.89 | | | | | | (2289) all_14_8 = e20 % 50.00/7.89 | | | | | | % 50.00/7.89 | | | | | | REDUCE: (769), (2289) imply: % 50.00/7.89 | | | | | | (2290) $false % 50.00/7.89 | | | | | | % 50.00/7.89 | | | | | | CLOSE: (2290) is inconsistent. % 50.00/7.89 | | | | | | % 50.00/7.89 | | | | | Case 2: % 50.00/7.89 | | | | | | % 50.00/7.89 | | | | | | (2291) all_20_9 = e20 % 50.00/7.89 | | | | | | % 50.00/7.89 | | | | | | BETA: splitting (2286) gives: % 50.00/7.89 | | | | | | % 50.00/7.89 | | | | | | Case 1: % 50.00/7.89 | | | | | | | % 50.00/7.89 | | | | | | | (2292) all_20_1 = e23 % 50.00/7.89 | | | | | | | % 50.00/7.89 | | | | | | | COMBINE_EQS: (716), (2292) imply: % 50.00/7.89 | | | | | | | (2293) e23 = e21 % 50.00/7.89 | | | | | | | % 50.00/7.89 | | | | | | | REDUCE: (12), (2293) imply: % 50.00/7.89 | | | | | | | (2294) $false % 50.00/7.89 | | | | | | | % 50.00/7.89 | | | | | | | CLOSE: (2294) is inconsistent. % 50.00/7.89 | | | | | | | % 50.00/7.89 | | | | | | Case 2: % 50.00/7.89 | | | | | | | % 50.00/7.89 | | | | | | | (2295) all_20_4 = e23 | all_20_9 = e23 % 50.00/7.89 | | | | | | | % 50.00/7.89 | | | | | | | BETA: splitting (2295) gives: % 50.00/7.89 | | | | | | | % 50.00/7.89 | | | | | | | Case 1: % 50.00/7.89 | | | | | | | | % 50.00/7.89 | | | | | | | | (2296) all_20_4 = e23 % 50.00/7.89 | | | | | | | | % 50.00/7.89 | | | | | | | | COMBINE_EQS: (529), (2296) imply: % 50.00/7.89 | | | | | | | | (2297) all_14_8 = e23 % 50.00/7.89 | | | | | | | | % 50.00/7.89 | | | | | | | | SIMP: (2297) implies: % 50.00/7.89 | | | | | | | | (2298) all_14_8 = e23 % 50.00/7.89 | | | | | | | | % 50.00/7.89 | | | | | | | | REDUCE: (2278), (2298) imply: % 50.00/7.89 | | | | | | | | (2299) $false % 50.00/7.89 | | | | | | | | % 50.00/7.89 | | | | | | | | CLOSE: (2299) is inconsistent. % 50.00/7.89 | | | | | | | | % 50.00/7.89 | | | | | | | Case 2: % 50.00/7.89 | | | | | | | | % 50.00/7.89 | | | | | | | | (2300) all_20_9 = e23 % 50.00/7.89 | | | | | | | | % 50.00/7.89 | | | | | | | | COMBINE_EQS: (2291), (2300) imply: % 50.00/7.89 | | | | | | | | (2301) e23 = e20 % 50.00/7.89 | | | | | | | | % 50.00/7.89 | | | | | | | | REDUCE: (11), (2301) imply: % 50.00/7.89 | | | | | | | | (2302) $false % 50.00/7.89 | | | | | | | | % 50.00/7.89 | | | | | | | | CLOSE: (2302) is inconsistent. % 50.00/7.89 | | | | | | | | % 50.00/7.89 | | | | | | | End of split % 50.00/7.89 | | | | | | | % 50.00/7.89 | | | | | | End of split % 50.00/7.89 | | | | | | % 50.00/7.89 | | | | | End of split % 50.00/7.89 | | | | | % 50.00/7.89 | | | | End of split % 50.00/7.89 | | | | % 50.00/7.89 | | | End of split % 50.00/7.89 | | | % 50.00/7.89 | | End of split % 50.00/7.89 | | % 50.00/7.89 | End of split % 50.00/7.89 | % 50.00/7.89 End of proof % 50.00/7.89 % 50.00/7.89 Sub-proof #1 shows that the following formulas are inconsistent: % 50.00/7.89 ---------------------------------------------------------------- % 50.00/7.89 (1) all_22_7 = all_12_6 % 50.00/7.89 (2) all_22_7 = e13 % 50.00/7.89 (3) ~ (all_12_6 = e13) % 50.00/7.89 % 50.00/7.89 Begin of proof % 50.00/7.89 | % 50.00/7.89 | COMBINE_EQS: (1), (2) imply: % 50.00/7.89 | (4) all_12_6 = e13 % 50.00/7.89 | % 50.00/7.89 | SIMP: (4) implies: % 50.00/7.89 | (5) all_12_6 = e13 % 50.00/7.89 | % 50.00/7.89 | REDUCE: (3), (5) imply: % 50.00/7.89 | (6) $false % 50.00/7.89 | % 50.00/7.89 | CLOSE: (6) is inconsistent. % 50.00/7.89 | % 50.00/7.89 End of proof % 50.00/7.89 % 50.00/7.89 Sub-proof #2 shows that the following formulas are inconsistent: % 50.00/7.89 ---------------------------------------------------------------- % 50.00/7.89 (1) all_16_15 = all_12_15 % 50.00/7.89 (2) all_16_15 = e12 % 50.00/7.89 (3) ~ (all_12_15 = e12) % 50.00/7.89 % 50.00/7.89 Begin of proof % 50.00/7.89 | % 50.00/7.89 | COMBINE_EQS: (1), (2) imply: % 50.00/7.89 | (4) all_12_15 = e12 % 50.00/7.89 | % 50.00/7.89 | SIMP: (4) implies: % 50.00/7.89 | (5) all_12_15 = e12 % 50.00/7.89 | % 50.00/7.89 | REDUCE: (3), (5) imply: % 50.00/7.89 | (6) $false % 50.00/7.89 | % 50.00/7.89 | CLOSE: (6) is inconsistent. % 50.00/7.89 | % 50.00/7.89 End of proof % 50.00/7.89 % 50.00/7.89 Sub-proof #3 shows that the following formulas are inconsistent: % 50.00/7.89 ---------------------------------------------------------------- % 50.00/7.89 (1) all_18_5 = e21 | all_18_5 = e20 % 50.00/7.89 (2) all_18_5 = all_6_1 % 50.00/7.89 (3) ~ (all_6_1 = e21) % 50.00/7.89 (4) ~ (all_6_1 = e20) % 50.00/7.89 % 50.00/7.89 Begin of proof % 50.00/7.89 | % 50.00/7.89 | BETA: splitting (1) gives: % 50.00/7.89 | % 50.00/7.89 | Case 1: % 50.00/7.89 | | % 50.00/7.89 | | (5) all_18_5 = e21 % 50.00/7.89 | | % 50.00/7.89 | | COMBINE_EQS: (2), (5) imply: % 50.00/7.89 | | (6) all_6_1 = e21 % 50.00/7.89 | | % 50.00/7.89 | | REDUCE: (3), (6) imply: % 50.00/7.89 | | (7) $false % 50.00/7.89 | | % 50.00/7.89 | | CLOSE: (7) is inconsistent. % 50.00/7.89 | | % 50.00/7.89 | Case 2: % 50.00/7.89 | | % 50.00/7.89 | | (8) all_18_5 = e20 % 50.00/7.89 | | % 50.00/7.89 | | COMBINE_EQS: (2), (8) imply: % 50.00/7.89 | | (9) all_6_1 = e20 % 50.00/7.89 | | % 50.00/7.89 | | REDUCE: (4), (9) imply: % 50.00/7.89 | | (10) $false % 50.00/7.89 | | % 50.00/7.89 | | CLOSE: (10) is inconsistent. % 50.00/7.89 | | % 50.00/7.89 | End of split % 50.00/7.89 | % 50.00/7.89 End of proof % 50.00/7.89 % 50.00/7.89 Sub-proof #4 shows that the following formulas are inconsistent: % 50.00/7.89 ---------------------------------------------------------------- % 50.00/7.89 (1) ~ (all_14_11 = all_10_1) % 50.00/7.89 (2) all_18_13 = all_14_7 % 50.00/7.89 (3) ~ (all_14_3 = all_14_11) % 50.00/7.89 (4) ~ (all_14_14 = e23) % 50.00/7.89 (5) all_20_4 = e23 % 50.00/7.90 (6) ~ (all_14_3 = e22) % 50.00/7.90 (7) all_20_14 = all_14_11 % 50.00/7.90 (8) ~ (all_14_7 = all_10_1) % 50.00/7.90 (9) all_18_15 = all_10_1 % 50.00/7.90 (10) op2(e20, e21) = all_14_11 % 50.00/7.90 (11) op2(e20, all_14_11) = all_24_14 % 50.00/7.90 (12) all_20_4 = e22 | all_20_5 = e22 | all_20_8 = e22 | all_20_14 = e22 % 50.00/7.90 (13) all_24_30 = all_14_14 % 50.00/7.90 (14) ~ (all_14_7 = e21) % 50.00/7.90 (15) all_24_24 = e23 % 50.00/7.90 (16) all_18_12 = e22 | all_18_12 = e21 | all_18_12 = e20 % 50.00/7.90 (17) all_24_21 = e22 % 50.00/7.90 (18) all_18_12 = all_14_3 % 50.00/7.90 (19) ~ (all_14_3 = e21) % 50.00/7.90 (20) all_24_12 = e23 | all_24_13 = e22 | all_24_14 = e21 | all_24_15 = e20 % 50.00/7.90 (21) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 50.00/7.90 (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0)) % 50.00/7.90 (22) all_18_15 = e23 | all_18_15 = e22 | all_18_15 = e21 | all_18_15 = e20 % 50.00/7.90 (23) ( ~ (all_24_16 = e23) & ~ (all_24_17 = e22) & ~ (all_24_18 = e21) & ~ % 50.00/7.90 (all_24_19 = e20)) | ( ~ (all_24_20 = e23) & ~ (all_24_21 = e22) & ~ % 50.00/7.90 (all_24_22 = e21) & ~ (all_24_23 = e20)) | ( ~ (all_24_24 = e23) & ~ % 50.00/7.90 (all_24_25 = e22) & ~ (all_24_26 = e21) & ~ (all_24_27 = e20)) | ( ~ % 50.00/7.90 (all_24_28 = e23) & ~ (all_24_29 = e22) & ~ (all_24_30 = e21) & ~ % 50.00/7.90 (all_24_31 = e20)) % 50.00/7.90 (24) all_18_13 = e23 | all_18_13 = e22 | all_18_13 = e21 | all_18_13 = e20 % 50.00/7.90 (25) op2(e20, all_14_3) = all_24_12 % 50.00/7.90 (26) all_18_11 = e23 | all_18_11 = e22 | all_18_11 = e21 | all_18_11 = e20 % 50.00/7.90 (27) all_20_5 = e20 % 50.00/7.90 (28) op2(e20, e20) = all_10_1 % 50.00/7.90 (29) op2(e20, all_14_7) = all_24_13 % 50.00/7.90 (30) ~ (all_14_14 = e20) % 50.00/7.90 (31) ~ (all_14_7 = e22) % 50.00/7.90 (32) all_24_19 = all_14_3 % 50.00/7.90 (33) op2(e20, e22) = all_14_7 % 50.00/7.90 (34) ~ (all_14_14 = all_4_1) % 50.00/7.90 (35) all_18_11 = all_14_14 % 50.00/7.90 (36) ~ (all_14_3 = all_14_7) % 50.00/7.90 (37) all_24_15 = all_10_0 % 50.00/7.90 (38) all_20_8 = all_4_1 % 50.00/7.90 (39) op2(e20, all_10_1) = all_10_0 % 50.00/7.90 (40) all_24_31 = all_10_1 % 50.00/7.90 (41) op2(e20, e23) = all_14_3 % 50.00/7.90 % 50.00/7.90 Begin of proof % 50.00/7.90 | % 50.00/7.90 | BETA: splitting (16) gives: % 50.00/7.90 | % 50.00/7.90 | Case 1: % 50.00/7.90 | | % 50.00/7.90 | | (42) all_18_12 = e22 % 50.00/7.90 | | % 50.00/7.90 | | REF_CLOSE: (6), (18), (42) are inconsistent by sub-proof #11. % 50.00/7.90 | | % 50.00/7.90 | Case 2: % 50.00/7.90 | | % 50.00/7.90 | | (43) all_18_12 = e21 | all_18_12 = e20 % 50.00/7.90 | | % 50.00/7.90 | | BETA: splitting (43) gives: % 50.00/7.90 | | % 50.00/7.90 | | Case 1: % 50.00/7.90 | | | % 50.00/7.90 | | | (44) all_18_12 = e21 % 50.00/7.90 | | | % 50.00/7.90 | | | COMBINE_EQS: (18), (44) imply: % 50.00/7.90 | | | (45) all_14_3 = e21 % 50.00/7.90 | | | % 50.00/7.90 | | | SIMP: (45) implies: % 50.00/7.90 | | | (46) all_14_3 = e21 % 50.00/7.90 | | | % 50.00/7.90 | | | REDUCE: (19), (46) imply: % 50.00/7.90 | | | (47) $false % 50.00/7.90 | | | % 50.00/7.90 | | | CLOSE: (47) is inconsistent. % 50.00/7.90 | | | % 50.00/7.90 | | Case 2: % 50.00/7.90 | | | % 50.00/7.90 | | | (48) all_18_12 = e20 % 50.00/7.90 | | | % 50.00/7.90 | | | COMBINE_EQS: (18), (48) imply: % 50.00/7.90 | | | (49) all_14_3 = e20 % 50.00/7.90 | | | % 50.00/7.90 | | | SIMP: (49) implies: % 50.00/7.90 | | | (50) all_14_3 = e20 % 50.00/7.90 | | | % 50.00/7.90 | | | COMBINE_EQS: (32), (50) imply: % 50.00/7.90 | | | (51) all_24_19 = e20 % 50.00/7.90 | | | % 50.00/7.90 | | | REDUCE: (36), (50) imply: % 50.00/7.90 | | | (52) ~ (all_14_7 = e20) % 50.00/7.90 | | | % 50.00/7.90 | | | SIMP: (52) implies: % 50.00/7.90 | | | (53) ~ (all_14_7 = e20) % 50.00/7.90 | | | % 50.00/7.90 | | | REDUCE: (3), (50) imply: % 50.00/7.90 | | | (54) ~ (all_14_11 = e20) % 50.00/7.90 | | | % 50.00/7.90 | | | SIMP: (54) implies: % 50.00/7.90 | | | (55) ~ (all_14_11 = e20) % 50.00/7.90 | | | % 50.00/7.90 | | | REDUCE: (25), (50) imply: % 50.00/7.90 | | | (56) op2(e20, e20) = all_24_12 % 50.00/7.90 | | | % 50.00/7.90 | | | REDUCE: (41), (50) imply: % 50.00/7.90 | | | (57) op2(e20, e23) = e20 % 50.00/7.90 | | | % 50.00/7.90 | | | BETA: splitting (24) gives: % 50.00/7.90 | | | % 50.00/7.90 | | | Case 1: % 50.00/7.90 | | | | % 50.00/7.90 | | | | (58) all_18_13 = e23 % 50.00/7.90 | | | | % 50.00/7.90 | | | | COMBINE_EQS: (2), (58) imply: % 50.00/7.90 | | | | (59) all_14_7 = e23 % 50.00/7.90 | | | | % 50.00/7.90 | | | | REDUCE: (8), (59) imply: % 50.00/7.90 | | | | (60) ~ (all_10_1 = e23) % 50.00/7.90 | | | | % 50.00/7.90 | | | | SIMP: (60) implies: % 50.00/7.90 | | | | (61) ~ (all_10_1 = e23) % 50.00/7.90 | | | | % 50.00/7.90 | | | | REDUCE: (29), (59) imply: % 50.00/7.90 | | | | (62) op2(e20, e23) = all_24_13 % 50.00/7.90 | | | | % 50.00/7.90 | | | | REDUCE: (33), (59) imply: % 50.00/7.90 | | | | (63) op2(e20, e22) = e23 % 50.00/7.90 | | | | % 50.00/7.90 | | | | BETA: splitting (23) gives: % 50.00/7.90 | | | | % 50.00/7.90 | | | | Case 1: % 50.00/7.90 | | | | | % 50.00/7.90 | | | | | (64) ( ~ (all_24_16 = e23) & ~ (all_24_17 = e22) & ~ (all_24_18 = % 50.00/7.90 | | | | | e21) & ~ (all_24_19 = e20)) | ( ~ (all_24_20 = e23) & ~ % 50.00/7.90 | | | | | (all_24_21 = e22) & ~ (all_24_22 = e21) & ~ (all_24_23 = % 50.00/7.90 | | | | | e20)) % 50.00/7.90 | | | | | % 50.00/7.90 | | | | | BETA: splitting (64) gives: % 50.00/7.90 | | | | | % 50.00/7.90 | | | | | Case 1: % 50.00/7.90 | | | | | | % 50.00/7.90 | | | | | | (65) ~ (all_24_16 = e23) & ~ (all_24_17 = e22) & ~ (all_24_18 % 50.00/7.90 | | | | | | = e21) & ~ (all_24_19 = e20) % 50.00/7.90 | | | | | | % 50.00/7.90 | | | | | | ALPHA: (65) implies: % 50.00/7.90 | | | | | | (66) ~ (all_24_19 = e20) % 50.00/7.90 | | | | | | % 50.00/7.90 | | | | | | REDUCE: (51), (66) imply: % 50.00/7.90 | | | | | | (67) $false % 50.00/7.90 | | | | | | % 50.00/7.90 | | | | | | CLOSE: (67) is inconsistent. % 50.00/7.90 | | | | | | % 50.00/7.90 | | | | | Case 2: % 50.00/7.90 | | | | | | % 50.00/7.90 | | | | | | (68) ~ (all_24_20 = e23) & ~ (all_24_21 = e22) & ~ (all_24_22 % 50.00/7.90 | | | | | | = e21) & ~ (all_24_23 = e20) % 50.00/7.90 | | | | | | % 50.00/7.90 | | | | | | ALPHA: (68) implies: % 50.00/7.90 | | | | | | (69) ~ (all_24_21 = e22) % 50.00/7.90 | | | | | | % 50.00/7.90 | | | | | | REDUCE: (17), (69) imply: % 50.00/7.90 | | | | | | (70) $false % 50.00/7.90 | | | | | | % 50.00/7.90 | | | | | | CLOSE: (70) is inconsistent. % 50.00/7.90 | | | | | | % 50.00/7.90 | | | | | End of split % 50.00/7.90 | | | | | % 50.00/7.90 | | | | Case 2: % 50.00/7.90 | | | | | % 50.00/7.90 | | | | | (71) ( ~ (all_24_24 = e23) & ~ (all_24_25 = e22) & ~ (all_24_26 = % 50.00/7.90 | | | | | e21) & ~ (all_24_27 = e20)) | ( ~ (all_24_28 = e23) & ~ % 50.00/7.90 | | | | | (all_24_29 = e22) & ~ (all_24_30 = e21) & ~ (all_24_31 = % 50.00/7.90 | | | | | e20)) % 50.00/7.90 | | | | | % 50.00/7.90 | | | | | BETA: splitting (71) gives: % 50.00/7.90 | | | | | % 50.00/7.90 | | | | | Case 1: % 50.00/7.90 | | | | | | % 50.00/7.90 | | | | | | (72) ~ (all_24_24 = e23) & ~ (all_24_25 = e22) & ~ (all_24_26 % 50.00/7.90 | | | | | | = e21) & ~ (all_24_27 = e20) % 50.00/7.90 | | | | | | % 50.00/7.90 | | | | | | ALPHA: (72) implies: % 50.00/7.90 | | | | | | (73) ~ (all_24_24 = e23) % 50.00/7.90 | | | | | | % 50.00/7.90 | | | | | | REDUCE: (15), (73) imply: % 50.00/7.90 | | | | | | (74) $false % 50.00/7.90 | | | | | | % 50.00/7.90 | | | | | | CLOSE: (74) is inconsistent. % 50.00/7.90 | | | | | | % 50.00/7.90 | | | | | Case 2: % 50.00/7.90 | | | | | | % 50.00/7.90 | | | | | | (75) ~ (all_24_28 = e23) & ~ (all_24_29 = e22) & ~ (all_24_30 % 50.00/7.90 | | | | | | = e21) & ~ (all_24_31 = e20) % 50.00/7.90 | | | | | | % 50.00/7.90 | | | | | | ALPHA: (75) implies: % 50.00/7.90 | | | | | | (76) ~ (all_24_31 = e20) % 50.00/7.90 | | | | | | (77) ~ (all_24_30 = e21) % 50.00/7.90 | | | | | | % 50.00/7.90 | | | | | | REDUCE: (13), (77) imply: % 50.00/7.90 | | | | | | (78) ~ (all_14_14 = e21) % 50.00/7.90 | | | | | | % 50.00/7.90 | | | | | | REDUCE: (40), (76) imply: % 50.00/7.90 | | | | | | (79) ~ (all_10_1 = e20) % 50.00/7.90 | | | | | | % 50.00/7.90 | | | | | | BETA: splitting (26) gives: % 50.00/7.90 | | | | | | % 50.00/7.90 | | | | | | Case 1: % 50.00/7.90 | | | | | | | % 50.00/7.90 | | | | | | | (80) all_18_11 = e23 % 50.00/7.90 | | | | | | | % 50.00/7.90 | | | | | | | REF_CLOSE: (4), (35), (80) are inconsistent by sub-proof #10. % 50.00/7.90 | | | | | | | % 50.00/7.90 | | | | | | Case 2: % 50.00/7.90 | | | | | | | % 50.00/7.90 | | | | | | | (81) ~ (all_18_11 = e23) % 50.00/7.90 | | | | | | | (82) all_18_11 = e22 | all_18_11 = e21 | all_18_11 = e20 % 50.00/7.90 | | | | | | | % 50.00/7.90 | | | | | | | BETA: splitting (82) gives: % 50.00/7.90 | | | | | | | % 50.00/7.90 | | | | | | | Case 1: % 50.00/7.90 | | | | | | | | % 50.00/7.90 | | | | | | | | (83) all_18_11 = e22 % 50.00/7.90 | | | | | | | | % 50.00/7.90 | | | | | | | | COMBINE_EQS: (35), (83) imply: % 50.00/7.90 | | | | | | | | (84) all_14_14 = e22 % 50.00/7.90 | | | | | | | | % 50.00/7.90 | | | | | | | | SIMP: (84) implies: % 50.00/7.90 | | | | | | | | (85) all_14_14 = e22 % 50.00/7.90 | | | | | | | | % 50.00/7.90 | | | | | | | | REDUCE: (34), (85) imply: % 50.00/7.90 | | | | | | | | (86) ~ (all_4_1 = e22) % 50.00/7.90 | | | | | | | | % 50.00/7.90 | | | | | | | | SIMP: (86) implies: % 50.00/7.90 | | | | | | | | (87) ~ (all_4_1 = e22) % 50.00/7.90 | | | | | | | | % 50.00/7.90 | | | | | | | | REDUCE: (4), (85) imply: % 50.00/7.90 | | | | | | | | (88) ~ (e23 = e22) % 50.00/7.90 | | | | | | | | % 50.00/7.90 | | | | | | | | SIMP: (88) implies: % 50.00/7.90 | | | | | | | | (89) ~ (e23 = e22) % 50.00/7.90 | | | | | | | | % 50.00/7.90 | | | | | | | | REDUCE: (30), (85) imply: % 50.00/7.90 | | | | | | | | (90) ~ (e22 = e20) % 50.00/7.90 | | | | | | | | % 50.00/7.90 | | | | | | | | BETA: splitting (22) gives: % 50.00/7.90 | | | | | | | | % 50.00/7.90 | | | | | | | | Case 1: % 50.00/7.90 | | | | | | | | | % 50.00/7.90 | | | | | | | | | (91) all_18_15 = e23 % 50.00/7.90 | | | | | | | | | % 50.00/7.90 | | | | | | | | | REF_CLOSE: (9), (61), (91) are inconsistent by sub-proof #14. % 50.00/7.90 | | | | | | | | | % 50.00/7.90 | | | | | | | | Case 2: % 50.00/7.90 | | | | | | | | | % 50.00/7.90 | | | | | | | | | (92) ~ (all_18_15 = e23) % 50.00/7.90 | | | | | | | | | (93) all_18_15 = e22 | all_18_15 = e21 | all_18_15 = e20 % 50.00/7.90 | | | | | | | | | % 50.00/7.90 | | | | | | | | | BETA: splitting (12) gives: % 50.00/7.90 | | | | | | | | | % 50.00/7.90 | | | | | | | | | Case 1: % 50.00/7.90 | | | | | | | | | | % 50.00/7.90 | | | | | | | | | | (94) all_20_4 = e22 % 50.00/7.90 | | | | | | | | | | % 50.00/7.90 | | | | | | | | | | REF_CLOSE: (5), (89), (94) are inconsistent by sub-proof #13. % 50.00/7.90 | | | | | | | | | | % 50.00/7.90 | | | | | | | | | Case 2: % 50.00/7.90 | | | | | | | | | | % 50.00/7.90 | | | | | | | | | | (95) all_20_5 = e22 | all_20_8 = e22 | all_20_14 = e22 % 50.00/7.90 | | | | | | | | | | % 50.00/7.90 | | | | | | | | | | BETA: splitting (95) gives: % 50.00/7.90 | | | | | | | | | | % 50.00/7.90 | | | | | | | | | | Case 1: % 50.00/7.90 | | | | | | | | | | | % 50.00/7.90 | | | | | | | | | | | (96) all_20_5 = e22 % 50.00/7.90 | | | | | | | | | | | % 50.00/7.90 | | | | | | | | | | | COMBINE_EQS: (27), (96) imply: % 50.00/7.90 | | | | | | | | | | | (97) e22 = e20 % 50.00/7.90 | | | | | | | | | | | % 50.00/7.90 | | | | | | | | | | | REDUCE: (90), (97) imply: % 50.00/7.90 | | | | | | | | | | | (98) $false % 50.00/7.90 | | | | | | | | | | | % 50.00/7.90 | | | | | | | | | | | CLOSE: (98) is inconsistent. % 50.00/7.90 | | | | | | | | | | | % 50.00/7.90 | | | | | | | | | | Case 2: % 50.00/7.90 | | | | | | | | | | | % 50.00/7.90 | | | | | | | | | | | (99) all_20_8 = e22 | all_20_14 = e22 % 50.00/7.90 | | | | | | | | | | | % 50.00/7.90 | | | | | | | | | | | BETA: splitting (99) gives: % 50.00/7.90 | | | | | | | | | | | % 50.00/7.90 | | | | | | | | | | | Case 1: % 50.00/7.90 | | | | | | | | | | | | % 50.00/7.90 | | | | | | | | | | | | (100) all_20_8 = e22 % 50.00/7.90 | | | | | | | | | | | | % 50.00/7.90 | | | | | | | | | | | | COMBINE_EQS: (38), (100) imply: % 50.00/7.90 | | | | | | | | | | | | (101) all_4_1 = e22 % 50.00/7.90 | | | | | | | | | | | | % 50.00/7.90 | | | | | | | | | | | | SIMP: (101) implies: % 50.00/7.90 | | | | | | | | | | | | (102) all_4_1 = e22 % 50.00/7.90 | | | | | | | | | | | | % 50.00/7.90 | | | | | | | | | | | | REDUCE: (87), (102) imply: % 50.00/7.90 | | | | | | | | | | | | (103) $false % 50.00/7.90 | | | | | | | | | | | | % 50.00/7.90 | | | | | | | | | | | | CLOSE: (103) is inconsistent. % 50.00/7.90 | | | | | | | | | | | | % 50.00/7.90 | | | | | | | | | | | Case 2: % 50.00/7.90 | | | | | | | | | | | | % 50.00/7.90 | | | | | | | | | | | | (104) all_20_14 = e22 % 50.00/7.90 | | | | | | | | | | | | % 50.00/7.90 | | | | | | | | | | | | COMBINE_EQS: (7), (104) imply: % 50.00/7.90 | | | | | | | | | | | | (105) all_14_11 = e22 % 50.00/7.90 | | | | | | | | | | | | % 50.00/7.90 | | | | | | | | | | | | SIMP: (105) implies: % 50.00/7.90 | | | | | | | | | | | | (106) all_14_11 = e22 % 50.00/7.90 | | | | | | | | | | | | % 50.00/7.90 | | | | | | | | | | | | REDUCE: (1), (106) imply: % 50.00/7.90 | | | | | | | | | | | | (107) ~ (all_10_1 = e22) % 50.00/7.90 | | | | | | | | | | | | % 50.00/7.90 | | | | | | | | | | | | SIMP: (107) implies: % 50.00/7.90 | | | | | | | | | | | | (108) ~ (all_10_1 = e22) % 50.00/7.90 | | | | | | | | | | | | % 50.00/7.90 | | | | | | | | | | | | REDUCE: (11), (106) imply: % 50.00/7.90 | | | | | | | | | | | | (109) op2(e20, e22) = all_24_14 % 50.00/7.90 | | | | | | | | | | | | % 50.00/7.90 | | | | | | | | | | | | REDUCE: (10), (106) imply: % 50.00/7.90 | | | | | | | | | | | | (110) op2(e20, e21) = e22 % 50.00/7.90 | | | | | | | | | | | | % 50.00/7.90 | | | | | | | | | | | | BETA: splitting (93) gives: % 50.00/7.90 | | | | | | | | | | | | % 50.00/7.90 | | | | | | | | | | | | Case 1: % 50.00/7.90 | | | | | | | | | | | | | % 50.00/7.90 | | | | | | | | | | | | | (111) all_18_15 = e22 % 50.00/7.90 | | | | | | | | | | | | | % 50.00/7.90 | | | | | | | | | | | | | REF_CLOSE: (9), (108), (111) are inconsistent by sub-proof % 50.00/7.90 | | | | | | | | | | | | | #9. % 50.00/7.90 | | | | | | | | | | | | | % 50.00/7.90 | | | | | | | | | | | | Case 2: % 50.00/7.90 | | | | | | | | | | | | | % 50.00/7.90 | | | | | | | | | | | | | (112) all_18_15 = e21 | all_18_15 = e20 % 50.00/7.90 | | | | | | | | | | | | | % 50.00/7.90 | | | | | | | | | | | | | BETA: splitting (112) gives: % 50.00/7.90 | | | | | | | | | | | | | % 50.00/7.90 | | | | | | | | | | | | | Case 1: % 50.00/7.90 | | | | | | | | | | | | | | % 50.00/7.90 | | | | | | | | | | | | | | (113) all_18_15 = e21 % 50.00/7.90 | | | | | | | | | | | | | | % 50.00/7.90 | | | | | | | | | | | | | | COMBINE_EQS: (9), (113) imply: % 50.00/7.90 | | | | | | | | | | | | | | (114) all_10_1 = e21 % 50.00/7.90 | | | | | | | | | | | | | | % 50.00/7.90 | | | | | | | | | | | | | | SIMP: (114) implies: % 50.00/7.91 | | | | | | | | | | | | | | (115) all_10_1 = e21 % 50.00/7.91 | | | | | | | | | | | | | | % 50.00/7.91 | | | | | | | | | | | | | | REDUCE: (61), (115) imply: % 50.00/7.91 | | | | | | | | | | | | | | (116) ~ (e23 = e21) % 50.00/7.91 | | | | | | | | | | | | | | % 50.00/7.91 | | | | | | | | | | | | | | SIMP: (116) implies: % 50.00/7.91 | | | | | | | | | | | | | | (117) ~ (e23 = e21) % 50.00/7.91 | | | | | | | | | | | | | | % 50.00/7.91 | | | | | | | | | | | | | | REDUCE: (39), (115) imply: % 50.00/7.91 | | | | | | | | | | | | | | (118) op2(e20, e21) = all_10_0 % 50.00/7.91 | | | | | | | | | | | | | | % 50.00/7.91 | | | | | | | | | | | | | | REDUCE: (28), (115) imply: % 50.00/7.91 | | | | | | | | | | | | | | (119) op2(e20, e20) = e21 % 50.00/7.91 | | | | | | | | | | | | | | % 50.00/7.91 | | | | | | | | | | | | | | GROUND_INST: instantiating (21) with e21, all_24_12, e20, e20, % 50.00/7.91 | | | | | | | | | | | | | | simplifying with (56), (119) gives: % 50.00/7.91 | | | | | | | | | | | | | | (120) all_24_12 = e21 % 50.00/7.91 | | | | | | | | | | | | | | % 50.00/7.91 | | | | | | | | | | | | | | GROUND_INST: instantiating (21) with e22, all_10_0, e21, e20, % 50.00/7.91 | | | | | | | | | | | | | | simplifying with (110), (118) gives: % 50.00/7.91 | | | | | | | | | | | | | | (121) all_10_0 = e22 % 50.00/7.91 | | | | | | | | | | | | | | % 50.00/7.91 | | | | | | | | | | | | | | GROUND_INST: instantiating (21) with e23, all_24_14, e22, e20, % 50.00/7.91 | | | | | | | | | | | | | | simplifying with (63), (109) gives: % 50.00/7.91 | | | | | | | | | | | | | | (122) all_24_14 = e23 % 50.00/7.91 | | | | | | | | | | | | | | % 50.00/7.91 | | | | | | | | | | | | | | GROUND_INST: instantiating (21) with e20, all_24_13, e23, e20, % 50.00/7.91 | | | | | | | | | | | | | | simplifying with (57), (62) gives: % 50.00/7.91 | | | | | | | | | | | | | | (123) all_24_13 = e20 % 50.00/7.91 | | | | | | | | | | | | | | % 50.00/7.91 | | | | | | | | | | | | | | COMBINE_EQS: (37), (121) imply: % 50.00/7.91 | | | | | | | | | | | | | | (124) all_24_15 = e22 % 50.00/7.91 | | | | | | | | | | | | | | % 50.00/7.91 | | | | | | | | | | | | | | BETA: splitting (20) gives: % 50.00/7.91 | | | | | | | | | | | | | | % 50.00/7.91 | | | | | | | | | | | | | | Case 1: % 50.00/7.91 | | | | | | | | | | | | | | | % 50.00/7.91 | | | | | | | | | | | | | | | (125) all_24_12 = e23 % 50.00/7.91 | | | | | | | | | | | | | | | % 50.00/7.91 | | | | | | | | | | | | | | | COMBINE_EQS: (120), (125) imply: % 50.00/7.91 | | | | | | | | | | | | | | | (126) e23 = e21 % 50.00/7.91 | | | | | | | | | | | | | | | % 50.00/7.91 | | | | | | | | | | | | | | | REDUCE: (117), (126) imply: % 50.00/7.91 | | | | | | | | | | | | | | | (127) $false % 50.00/7.91 | | | | | | | | | | | | | | | % 50.00/7.91 | | | | | | | | | | | | | | | CLOSE: (127) is inconsistent. % 50.00/7.91 | | | | | | | | | | | | | | | % 50.00/7.91 | | | | | | | | | | | | | | Case 2: % 50.00/7.91 | | | | | | | | | | | | | | | % 50.00/7.91 | | | | | | | | | | | | | | | (128) ~ (all_24_12 = e23) % 50.00/7.91 | | | | | | | | | | | | | | | (129) all_24_13 = e22 | all_24_14 = e21 | all_24_15 = % 50.00/7.91 | | | | | | | | | | | | | | | e20 % 50.00/7.91 | | | | | | | | | | | | | | | % 50.00/7.91 | | | | | | | | | | | | | | | BETA: splitting (129) gives: % 50.00/7.91 | | | | | | | | | | | | | | | % 50.00/7.91 | | | | | | | | | | | | | | | Case 1: % 50.00/7.91 | | | | | | | | | | | | | | | | % 50.00/7.91 | | | | | | | | | | | | | | | | (130) all_24_13 = e22 % 50.00/7.91 | | | | | | | | | | | | | | | | % 50.00/7.91 | | | | | | | | | | | | | | | | COMBINE_EQS: (123), (130) imply: % 50.00/7.91 | | | | | | | | | | | | | | | | (131) e22 = e20 % 50.00/7.91 | | | | | | | | | | | | | | | | % 50.00/7.91 | | | | | | | | | | | | | | | | REDUCE: (90), (131) imply: % 50.00/7.91 | | | | | | | | | | | | | | | | (132) $false % 50.00/7.91 | | | | | | | | | | | | | | | | % 50.00/7.91 | | | | | | | | | | | | | | | | CLOSE: (132) is inconsistent. % 50.00/7.91 | | | | | | | | | | | | | | | | % 50.00/7.91 | | | | | | | | | | | | | | | Case 2: % 50.00/7.91 | | | | | | | | | | | | | | | | % 50.00/7.91 | | | | | | | | | | | | | | | | (133) ~ (all_24_13 = e22) % 50.00/7.91 | | | | | | | | | | | | | | | | (134) all_24_14 = e21 | all_24_15 = e20 % 50.00/7.91 | | | | | | | | | | | | | | | | % 50.00/7.91 | | | | | | | | | | | | | | | | REDUCE: (123), (133) imply: % 50.00/7.91 | | | | | | | | | | | | | | | | (135) ~ (e22 = e20) % 50.00/7.91 | | | | | | | | | | | | | | | | % 50.00/7.91 | | | | | | | | | | | | | | | | BETA: splitting (134) gives: % 50.00/7.91 | | | | | | | | | | | | | | | | % 50.00/7.91 | | | | | | | | | | | | | | | | Case 1: % 50.00/7.91 | | | | | | | | | | | | | | | | | % 50.00/7.91 | | | | | | | | | | | | | | | | | (136) all_24_14 = e21 % 50.00/7.91 | | | | | | | | | | | | | | | | | % 50.00/7.91 | | | | | | | | | | | | | | | | | COMBINE_EQS: (122), (136) imply: % 50.00/7.91 | | | | | | | | | | | | | | | | | (137) e23 = e21 % 50.00/7.91 | | | | | | | | | | | | | | | | | % 50.00/7.91 | | | | | | | | | | | | | | | | | SIMP: (137) implies: % 50.00/7.91 | | | | | | | | | | | | | | | | | (138) e23 = e21 % 50.00/7.91 | | | | | | | | | | | | | | | | | % 50.00/7.91 | | | | | | | | | | | | | | | | | REDUCE: (117), (138) imply: % 50.00/7.91 | | | | | | | | | | | | | | | | | (139) $false % 50.00/7.91 | | | | | | | | | | | | | | | | | % 50.00/7.91 | | | | | | | | | | | | | | | | | CLOSE: (139) is inconsistent. % 50.00/7.91 | | | | | | | | | | | | | | | | | % 50.00/7.91 | | | | | | | | | | | | | | | | Case 2: % 50.00/7.91 | | | | | | | | | | | | | | | | | % 50.00/7.91 | | | | | | | | | | | | | | | | | (140) all_24_15 = e20 % 50.00/7.91 | | | | | | | | | | | | | | | | | % 50.00/7.91 | | | | | | | | | | | | | | | | | COMBINE_EQS: (124), (140) imply: % 50.00/7.91 | | | | | | | | | | | | | | | | | (141) e22 = e20 % 50.00/7.91 | | | | | | | | | | | | | | | | | % 50.00/7.91 | | | | | | | | | | | | | | | | | SIMP: (141) implies: % 50.00/7.91 | | | | | | | | | | | | | | | | | (142) e22 = e20 % 50.00/7.91 | | | | | | | | | | | | | | | | | % 50.00/7.91 | | | | | | | | | | | | | | | | | REDUCE: (90), (142) imply: % 50.00/7.91 | | | | | | | | | | | | | | | | | (143) $false % 50.00/7.91 | | | | | | | | | | | | | | | | | % 50.00/7.91 | | | | | | | | | | | | | | | | | CLOSE: (143) is inconsistent. % 50.00/7.91 | | | | | | | | | | | | | | | | | % 50.00/7.91 | | | | | | | | | | | | | | | | End of split % 50.00/7.91 | | | | | | | | | | | | | | | | % 50.00/7.91 | | | | | | | | | | | | | | | End of split % 50.00/7.91 | | | | | | | | | | | | | | | % 50.00/7.91 | | | | | | | | | | | | | | End of split % 50.00/7.91 | | | | | | | | | | | | | | % 50.00/7.91 | | | | | | | | | | | | | Case 2: % 50.00/7.91 | | | | | | | | | | | | | | % 50.00/7.91 | | | | | | | | | | | | | | (144) all_18_15 = e20 % 50.00/7.91 | | | | | | | | | | | | | | % 50.00/7.91 | | | | | | | | | | | | | | REF_CLOSE: (9), (79), (144) are inconsistent by sub-proof #8. % 50.00/7.91 | | | | | | | | | | | | | | % 50.00/7.91 | | | | | | | | | | | | | End of split % 50.00/7.91 | | | | | | | | | | | | | % 50.00/7.91 | | | | | | | | | | | | End of split % 50.00/7.91 | | | | | | | | | | | | % 50.00/7.91 | | | | | | | | | | | End of split % 50.00/7.91 | | | | | | | | | | | % 50.00/7.91 | | | | | | | | | | End of split % 50.00/7.91 | | | | | | | | | | % 50.00/7.91 | | | | | | | | | End of split % 50.00/7.91 | | | | | | | | | % 50.00/7.91 | | | | | | | | End of split % 50.00/7.91 | | | | | | | | % 50.00/7.91 | | | | | | | Case 2: % 50.00/7.91 | | | | | | | | % 50.00/7.91 | | | | | | | | (145) all_18_11 = e21 | all_18_11 = e20 % 50.00/7.91 | | | | | | | | % 50.00/7.91 | | | | | | | | REF_CLOSE: (30), (35), (78), (145) are inconsistent by sub-proof % 50.00/7.91 | | | | | | | | #7. % 50.00/7.91 | | | | | | | | % 50.00/7.91 | | | | | | | End of split % 50.00/7.91 | | | | | | | % 50.00/7.91 | | | | | | End of split % 50.00/7.91 | | | | | | % 50.00/7.91 | | | | | End of split % 50.00/7.91 | | | | | % 50.00/7.91 | | | | End of split % 50.00/7.91 | | | | % 50.00/7.91 | | | Case 2: % 50.00/7.91 | | | | % 50.00/7.91 | | | | (146) all_18_13 = e22 | all_18_13 = e21 | all_18_13 = e20 % 50.00/7.91 | | | | % 50.00/7.91 | | | | BETA: splitting (146) gives: % 50.00/7.91 | | | | % 50.00/7.91 | | | | Case 1: % 50.00/7.91 | | | | | % 50.00/7.91 | | | | | (147) all_18_13 = e22 % 50.00/7.91 | | | | | % 50.00/7.91 | | | | | REF_CLOSE: (2), (31), (147) are inconsistent by sub-proof #6. % 50.00/7.91 | | | | | % 50.00/7.91 | | | | Case 2: % 50.00/7.91 | | | | | % 50.00/7.91 | | | | | (148) all_18_13 = e21 | all_18_13 = e20 % 50.00/7.91 | | | | | % 50.00/7.91 | | | | | BETA: splitting (148) gives: % 50.00/7.91 | | | | | % 50.00/7.91 | | | | | Case 1: % 50.00/7.91 | | | | | | % 50.00/7.91 | | | | | | (149) all_18_13 = e21 % 50.00/7.91 | | | | | | % 50.00/7.91 | | | | | | REF_CLOSE: (2), (14), (149) are inconsistent by sub-proof #5. % 50.00/7.91 | | | | | | % 50.00/7.91 | | | | | Case 2: % 50.00/7.91 | | | | | | % 50.00/7.91 | | | | | | (150) all_18_13 = e20 % 50.00/7.91 | | | | | | % 50.00/7.91 | | | | | | COMBINE_EQS: (2), (150) imply: % 50.00/7.91 | | | | | | (151) all_14_7 = e20 % 50.00/7.91 | | | | | | % 50.00/7.91 | | | | | | SIMP: (151) implies: % 50.00/7.91 | | | | | | (152) all_14_7 = e20 % 50.00/7.91 | | | | | | % 50.00/7.91 | | | | | | REDUCE: (53), (152) imply: % 50.00/7.91 | | | | | | (153) $false % 50.00/7.91 | | | | | | % 50.00/7.91 | | | | | | CLOSE: (153) is inconsistent. % 50.00/7.91 | | | | | | % 50.00/7.91 | | | | | End of split % 50.00/7.91 | | | | | % 50.00/7.91 | | | | End of split % 50.00/7.91 | | | | % 50.00/7.91 | | | End of split % 50.00/7.91 | | | % 50.00/7.91 | | End of split % 50.00/7.91 | | % 50.00/7.91 | End of split % 50.00/7.91 | % 50.00/7.91 End of proof % 50.00/7.91 % 50.00/7.91 Sub-proof #5 shows that the following formulas are inconsistent: % 50.00/7.91 ---------------------------------------------------------------- % 50.00/7.91 (1) all_18_13 = all_14_7 % 50.00/7.91 (2) all_18_13 = e21 % 50.00/7.91 (3) ~ (all_14_7 = e21) % 50.00/7.91 % 50.00/7.91 Begin of proof % 50.00/7.91 | % 50.00/7.91 | COMBINE_EQS: (1), (2) imply: % 50.00/7.91 | (4) all_14_7 = e21 % 50.00/7.91 | % 50.00/7.91 | SIMP: (4) implies: % 50.00/7.91 | (5) all_14_7 = e21 % 50.00/7.91 | % 50.00/7.91 | REDUCE: (3), (5) imply: % 50.00/7.91 | (6) $false % 50.00/7.91 | % 50.00/7.91 | CLOSE: (6) is inconsistent. % 50.00/7.91 | % 50.00/7.91 End of proof % 50.00/7.91 % 50.00/7.91 Sub-proof #6 shows that the following formulas are inconsistent: % 50.00/7.91 ---------------------------------------------------------------- % 50.00/7.91 (1) all_18_13 = all_14_7 % 50.00/7.91 (2) all_18_13 = e22 % 50.00/7.91 (3) ~ (all_14_7 = e22) % 50.00/7.91 % 50.00/7.91 Begin of proof % 50.00/7.91 | % 50.00/7.91 | COMBINE_EQS: (1), (2) imply: % 50.00/7.91 | (4) all_14_7 = e22 % 50.00/7.91 | % 50.00/7.91 | SIMP: (4) implies: % 50.00/7.91 | (5) all_14_7 = e22 % 50.00/7.91 | % 50.00/7.91 | REDUCE: (3), (5) imply: % 50.00/7.91 | (6) $false % 50.00/7.91 | % 50.00/7.91 | CLOSE: (6) is inconsistent. % 50.00/7.91 | % 50.00/7.91 End of proof % 50.00/7.91 % 50.00/7.91 Sub-proof #7 shows that the following formulas are inconsistent: % 50.00/7.91 ---------------------------------------------------------------- % 50.00/7.91 (1) all_18_11 = e21 | all_18_11 = e20 % 50.00/7.91 (2) all_18_11 = all_14_14 % 50.00/7.91 (3) ~ (all_14_14 = e21) % 50.00/7.91 (4) ~ (all_14_14 = e20) % 50.00/7.91 % 50.00/7.91 Begin of proof % 50.00/7.91 | % 50.00/7.91 | BETA: splitting (1) gives: % 50.00/7.91 | % 50.00/7.91 | Case 1: % 50.00/7.91 | | % 50.00/7.91 | | (5) all_18_11 = e21 % 50.00/7.91 | | % 50.00/7.91 | | COMBINE_EQS: (2), (5) imply: % 50.00/7.91 | | (6) all_14_14 = e21 % 50.00/7.91 | | % 50.00/7.91 | | SIMP: (6) implies: % 50.00/7.91 | | (7) all_14_14 = e21 % 50.00/7.91 | | % 50.00/7.91 | | REDUCE: (3), (7) imply: % 50.00/7.91 | | (8) $false % 50.00/7.91 | | % 50.00/7.91 | | CLOSE: (8) is inconsistent. % 50.00/7.91 | | % 50.00/7.91 | Case 2: % 50.00/7.91 | | % 50.00/7.91 | | (9) all_18_11 = e20 % 50.00/7.91 | | % 50.00/7.91 | | COMBINE_EQS: (2), (9) imply: % 50.00/7.91 | | (10) all_14_14 = e20 % 50.00/7.91 | | % 50.00/7.91 | | SIMP: (10) implies: % 50.00/7.91 | | (11) all_14_14 = e20 % 50.00/7.91 | | % 50.00/7.91 | | REDUCE: (4), (11) imply: % 50.00/7.91 | | (12) $false % 50.00/7.91 | | % 50.00/7.91 | | CLOSE: (12) is inconsistent. % 50.00/7.91 | | % 50.00/7.91 | End of split % 50.00/7.91 | % 50.00/7.91 End of proof % 50.00/7.91 % 50.00/7.91 Sub-proof #8 shows that the following formulas are inconsistent: % 50.00/7.91 ---------------------------------------------------------------- % 50.00/7.91 (1) all_18_15 = all_10_1 % 50.00/7.91 (2) all_18_15 = e20 % 50.00/7.91 (3) ~ (all_10_1 = e20) % 50.00/7.91 % 50.00/7.91 Begin of proof % 50.00/7.91 | % 50.00/7.91 | COMBINE_EQS: (1), (2) imply: % 50.00/7.91 | (4) all_10_1 = e20 % 50.00/7.91 | % 50.00/7.91 | SIMP: (4) implies: % 50.00/7.91 | (5) all_10_1 = e20 % 50.00/7.91 | % 50.00/7.91 | REDUCE: (3), (5) imply: % 50.00/7.91 | (6) $false % 50.00/7.91 | % 50.00/7.91 | CLOSE: (6) is inconsistent. % 50.00/7.91 | % 50.00/7.91 End of proof % 50.00/7.91 % 50.00/7.91 Sub-proof #9 shows that the following formulas are inconsistent: % 50.00/7.91 ---------------------------------------------------------------- % 50.00/7.91 (1) all_18_15 = all_10_1 % 50.00/7.91 (2) all_18_15 = e22 % 50.00/7.91 (3) ~ (all_10_1 = e22) % 50.00/7.91 % 50.00/7.91 Begin of proof % 50.00/7.91 | % 50.00/7.91 | COMBINE_EQS: (1), (2) imply: % 50.00/7.91 | (4) all_10_1 = e22 % 50.00/7.91 | % 50.00/7.91 | SIMP: (4) implies: % 50.00/7.91 | (5) all_10_1 = e22 % 50.00/7.91 | % 50.00/7.91 | REDUCE: (3), (5) imply: % 50.00/7.91 | (6) $false % 50.00/7.91 | % 50.00/7.91 | CLOSE: (6) is inconsistent. % 50.00/7.91 | % 50.00/7.91 End of proof % 50.00/7.91 % 50.00/7.91 Sub-proof #10 shows that the following formulas are inconsistent: % 50.00/7.91 ---------------------------------------------------------------- % 50.00/7.91 (1) all_18_11 = all_14_14 % 50.00/7.91 (2) all_18_11 = e23 % 50.00/7.91 (3) ~ (all_14_14 = e23) % 50.00/7.91 % 50.00/7.91 Begin of proof % 50.00/7.91 | % 50.00/7.91 | COMBINE_EQS: (1), (2) imply: % 50.00/7.91 | (4) all_14_14 = e23 % 50.00/7.91 | % 50.00/7.91 | SIMP: (4) implies: % 50.00/7.91 | (5) all_14_14 = e23 % 50.00/7.91 | % 50.00/7.91 | REDUCE: (3), (5) imply: % 50.00/7.91 | (6) $false % 50.00/7.91 | % 50.00/7.91 | CLOSE: (6) is inconsistent. % 50.00/7.91 | % 50.00/7.91 End of proof % 50.00/7.91 % 50.00/7.91 Sub-proof #11 shows that the following formulas are inconsistent: % 50.00/7.91 ---------------------------------------------------------------- % 50.00/7.91 (1) all_18_12 = all_14_3 % 50.00/7.91 (2) all_18_12 = e22 % 50.00/7.91 (3) ~ (all_14_3 = e22) % 50.00/7.91 % 50.00/7.91 Begin of proof % 50.00/7.91 | % 50.00/7.91 | COMBINE_EQS: (1), (2) imply: % 50.00/7.91 | (4) all_14_3 = e22 % 50.00/7.91 | % 50.00/7.91 | SIMP: (4) implies: % 50.00/7.91 | (5) all_14_3 = e22 % 50.00/7.91 | % 50.00/7.91 | REDUCE: (3), (5) imply: % 50.00/7.91 | (6) $false % 50.00/7.91 | % 50.00/7.91 | CLOSE: (6) is inconsistent. % 50.00/7.91 | % 50.00/7.91 End of proof % 50.00/7.91 % 50.00/7.91 Sub-proof #12 shows that the following formulas are inconsistent: % 50.00/7.91 ---------------------------------------------------------------- % 50.00/7.91 (1) all_18_12 = all_14_3 % 50.00/7.91 (2) all_18_12 = e23 % 50.00/7.91 (3) ~ (all_14_3 = e23) % 50.00/7.91 % 50.00/7.91 Begin of proof % 50.00/7.91 | % 50.00/7.91 | COMBINE_EQS: (1), (2) imply: % 50.00/7.91 | (4) all_14_3 = e23 % 50.00/7.91 | % 50.00/7.91 | SIMP: (4) implies: % 50.00/7.91 | (5) all_14_3 = e23 % 50.00/7.91 | % 50.00/7.91 | REDUCE: (3), (5) imply: % 50.00/7.91 | (6) $false % 50.00/7.91 | % 50.00/7.91 | CLOSE: (6) is inconsistent. % 50.00/7.91 | % 50.00/7.91 End of proof % 50.00/7.91 % 50.00/7.91 Sub-proof #13 shows that the following formulas are inconsistent: % 50.00/7.91 ---------------------------------------------------------------- % 50.00/7.91 (1) all_20_4 = e23 % 50.00/7.91 (2) all_20_4 = e22 % 50.00/7.91 (3) ~ (e23 = e22) % 50.00/7.91 % 50.00/7.91 Begin of proof % 50.00/7.91 | % 50.00/7.91 | COMBINE_EQS: (1), (2) imply: % 50.00/7.91 | (4) e23 = e22 % 50.00/7.91 | % 50.00/7.91 | SIMP: (4) implies: % 50.00/7.91 | (5) e23 = e22 % 50.00/7.91 | % 50.00/7.91 | REDUCE: (3), (5) imply: % 50.00/7.91 | (6) $false % 50.00/7.91 | % 50.00/7.91 | CLOSE: (6) is inconsistent. % 50.00/7.91 | % 50.00/7.91 End of proof % 50.00/7.91 % 50.00/7.91 Sub-proof #14 shows that the following formulas are inconsistent: % 50.00/7.91 ---------------------------------------------------------------- % 50.00/7.91 (1) all_18_15 = all_10_1 % 50.00/7.91 (2) all_18_15 = e23 % 50.00/7.91 (3) ~ (all_10_1 = e23) % 50.00/7.91 % 50.00/7.91 Begin of proof % 50.00/7.91 | % 50.00/7.91 | COMBINE_EQS: (1), (2) imply: % 50.00/7.91 | (4) all_10_1 = e23 % 50.00/7.91 | % 50.00/7.91 | SIMP: (4) implies: % 50.00/7.91 | (5) all_10_1 = e23 % 50.00/7.91 | % 50.00/7.91 | REDUCE: (3), (5) imply: % 50.00/7.91 | (6) $false % 50.00/7.91 | % 50.00/7.91 | CLOSE: (6) is inconsistent. % 50.00/7.91 | % 50.00/7.91 End of proof % 50.00/7.91 % 50.00/7.91 Sub-proof #15 shows that the following formulas are inconsistent: % 50.00/7.91 ---------------------------------------------------------------- % 50.00/7.91 (1) all_22_15 = all_12_15 % 50.00/7.91 (2) all_22_15 = e10 % 50.00/7.91 (3) ~ (all_12_15 = e10) % 50.00/7.91 % 50.00/7.91 Begin of proof % 50.00/7.91 | % 50.00/7.91 | COMBINE_EQS: (1), (2) imply: % 50.00/7.91 | (4) all_12_15 = e10 % 50.00/7.91 | % 50.00/7.91 | SIMP: (4) implies: % 50.00/7.91 | (5) all_12_15 = e10 % 50.00/7.91 | % 50.00/7.91 | REDUCE: (3), (5) imply: % 50.00/7.91 | (6) $false % 50.00/7.91 | % 50.00/7.91 | CLOSE: (6) is inconsistent. % 50.00/7.91 | % 50.00/7.91 End of proof % 50.00/7.91 % 50.00/7.91 Sub-proof #16 shows that the following formulas are inconsistent: % 50.00/7.91 ---------------------------------------------------------------- % 50.00/7.91 (1) all_16_15 = all_12_15 % 50.00/7.91 (2) all_16_15 = e10 % 50.00/7.91 (3) ~ (all_12_15 = e10) % 50.00/7.91 % 50.00/7.91 Begin of proof % 50.00/7.91 | % 50.00/7.91 | COMBINE_EQS: (1), (2) imply: % 50.00/7.91 | (4) all_12_15 = e10 % 50.00/7.91 | % 50.00/7.91 | SIMP: (4) implies: % 50.00/7.91 | (5) all_12_15 = e10 % 50.00/7.91 | % 50.00/7.91 | REDUCE: (3), (5) imply: % 50.00/7.91 | (6) $false % 50.00/7.91 | % 50.00/7.91 | CLOSE: (6) is inconsistent. % 50.00/7.91 | % 50.00/7.91 End of proof % 50.00/7.91 % 50.00/7.91 Sub-proof #17 shows that the following formulas are inconsistent: % 50.00/7.91 ---------------------------------------------------------------- % 50.00/7.91 (1) all_16_11 = e11 | all_16_11 = e10 % 50.00/7.91 (2) all_16_11 = all_12_14 % 50.00/7.92 (3) ~ (all_12_14 = e11) % 50.00/7.92 (4) ~ (all_12_14 = e10) % 50.00/7.92 % 50.00/7.92 Begin of proof % 50.00/7.92 | % 50.00/7.92 | BETA: splitting (1) gives: % 50.00/7.92 | % 50.00/7.92 | Case 1: % 50.00/7.92 | | % 50.00/7.92 | | (5) all_16_11 = e11 % 50.00/7.92 | | % 50.00/7.92 | | COMBINE_EQS: (2), (5) imply: % 50.00/7.92 | | (6) all_12_14 = e11 % 50.00/7.92 | | % 50.00/7.92 | | REDUCE: (3), (6) imply: % 50.00/7.92 | | (7) $false % 50.00/7.92 | | % 50.00/7.92 | | CLOSE: (7) is inconsistent. % 50.00/7.92 | | % 50.00/7.92 | Case 2: % 50.00/7.92 | | % 50.00/7.92 | | (8) all_16_11 = e10 % 50.00/7.92 | | % 50.00/7.92 | | COMBINE_EQS: (2), (8) imply: % 50.00/7.92 | | (9) all_12_14 = e10 % 50.00/7.92 | | % 50.00/7.92 | | REDUCE: (4), (9) imply: % 50.00/7.92 | | (10) $false % 50.00/7.92 | | % 50.00/7.92 | | CLOSE: (10) is inconsistent. % 50.00/7.92 | | % 50.00/7.92 | End of split % 50.00/7.92 | % 50.00/7.92 End of proof % 50.00/7.92 % 50.00/7.92 Sub-proof #18 shows that the following formulas are inconsistent: % 50.00/7.92 ---------------------------------------------------------------- % 50.00/7.92 (1) all_22_4 = e13 % 50.00/7.92 (2) all_22_4 = e12 % 50.00/7.92 (3) ~ (e13 = e12) % 50.00/7.92 % 50.00/7.92 Begin of proof % 50.00/7.92 | % 50.00/7.92 | COMBINE_EQS: (1), (2) imply: % 50.00/7.92 | (4) e13 = e12 % 50.00/7.92 | % 50.00/7.92 | SIMP: (4) implies: % 50.00/7.92 | (5) e13 = e12 % 50.00/7.92 | % 50.00/7.92 | REDUCE: (3), (5) imply: % 50.00/7.92 | (6) $false % 50.00/7.92 | % 50.00/7.92 | CLOSE: (6) is inconsistent. % 50.00/7.92 | % 50.00/7.92 End of proof % 50.00/7.92 % 50.00/7.92 Sub-proof #19 shows that the following formulas are inconsistent: % 50.00/7.92 ---------------------------------------------------------------- % 50.00/7.92 (1) all_16_8 = all_12_2 % 50.00/7.92 (2) all_16_8 = e12 % 50.00/7.92 (3) ~ (all_12_2 = e12) % 50.00/7.92 % 50.00/7.92 Begin of proof % 50.00/7.92 | % 50.00/7.92 | COMBINE_EQS: (1), (2) imply: % 50.00/7.92 | (4) all_12_2 = e12 % 50.00/7.92 | % 50.00/7.92 | SIMP: (4) implies: % 50.00/7.92 | (5) all_12_2 = e12 % 50.00/7.92 | % 50.00/7.92 | REDUCE: (3), (5) imply: % 50.00/7.92 | (6) $false % 50.00/7.92 | % 50.00/7.92 | CLOSE: (6) is inconsistent. % 50.00/7.92 | % 50.00/7.92 End of proof % 50.00/7.92 % 50.00/7.92 Sub-proof #20 shows that the following formulas are inconsistent: % 50.00/7.92 ---------------------------------------------------------------- % 50.00/7.92 (1) all_16_8 = all_12_2 % 50.00/7.92 (2) all_16_8 = e13 % 50.00/7.92 (3) ~ (all_12_2 = e13) % 50.00/7.92 % 50.00/7.92 Begin of proof % 50.00/7.92 | % 50.00/7.92 | COMBINE_EQS: (1), (2) imply: % 50.00/7.92 | (4) all_12_2 = e13 % 50.00/7.92 | % 50.00/7.92 | SIMP: (4) implies: % 50.00/7.92 | (5) all_12_2 = e13 % 50.00/7.92 | % 50.00/7.92 | REDUCE: (3), (5) imply: % 50.00/7.92 | (6) $false % 50.00/7.92 | % 50.00/7.92 | CLOSE: (6) is inconsistent. % 50.00/7.92 | % 50.00/7.92 End of proof % 50.00/7.92 % 50.00/7.92 Sub-proof #21 shows that the following formulas are inconsistent: % 50.00/7.92 ---------------------------------------------------------------- % 50.00/7.92 (1) ~ (all_12_3 = e12) % 50.00/7.92 (2) ~ (all_12_11 = e10) % 50.00/7.92 (3) all_16_12 = all_12_3 % 50.00/7.92 (4) ~ (all_12_3 = e10) % 50.00/7.92 (5) all_16_14 = all_12_11 % 50.00/7.92 (6) all_16_14 = e11 | all_16_14 = e10 % 50.00/7.92 (7) all_16_12 = e12 | all_16_12 = e11 | all_16_12 = e10 % 50.00/7.92 (8) ~ (all_12_3 = all_12_11) % 50.00/7.92 % 50.00/7.92 Begin of proof % 50.00/7.92 | % 50.00/7.92 | BETA: splitting (6) gives: % 50.00/7.92 | % 50.00/7.92 | Case 1: % 50.00/7.92 | | % 50.00/7.92 | | (9) all_16_14 = e11 % 50.00/7.92 | | % 50.00/7.92 | | COMBINE_EQS: (5), (9) imply: % 50.00/7.92 | | (10) all_12_11 = e11 % 50.00/7.92 | | % 50.00/7.92 | | SIMP: (10) implies: % 50.00/7.92 | | (11) all_12_11 = e11 % 50.00/7.92 | | % 50.00/7.92 | | REDUCE: (8), (11) imply: % 50.00/7.92 | | (12) ~ (all_12_3 = e11) % 50.00/7.92 | | % 50.00/7.92 | | REF_CLOSE: (1), (3), (4), (7), (12) are inconsistent by sub-proof #23. % 50.00/7.92 | | % 50.00/7.92 | Case 2: % 50.00/7.92 | | % 50.00/7.92 | | (13) all_16_14 = e10 % 50.00/7.92 | | % 50.00/7.92 | | REF_CLOSE: (2), (5), (13) are inconsistent by sub-proof #22. % 50.00/7.92 | | % 50.00/7.92 | End of split % 50.00/7.92 | % 50.00/7.92 End of proof % 50.00/7.92 % 50.00/7.92 Sub-proof #22 shows that the following formulas are inconsistent: % 50.00/7.92 ---------------------------------------------------------------- % 50.00/7.92 (1) all_16_14 = all_12_11 % 50.00/7.92 (2) all_16_14 = e10 % 50.00/7.92 (3) ~ (all_12_11 = e10) % 50.00/7.92 % 50.00/7.92 Begin of proof % 50.00/7.92 | % 50.00/7.92 | COMBINE_EQS: (1), (2) imply: % 50.00/7.92 | (4) all_12_11 = e10 % 50.00/7.92 | % 50.00/7.92 | SIMP: (4) implies: % 50.00/7.92 | (5) all_12_11 = e10 % 50.00/7.92 | % 50.00/7.92 | REDUCE: (3), (5) imply: % 50.00/7.92 | (6) $false % 50.00/7.92 | % 50.00/7.92 | CLOSE: (6) is inconsistent. % 50.00/7.92 | % 50.00/7.92 End of proof % 50.00/7.92 % 50.00/7.92 Sub-proof #23 shows that the following formulas are inconsistent: % 50.00/7.92 ---------------------------------------------------------------- % 50.00/7.92 (1) ~ (all_12_3 = e12) % 50.00/7.92 (2) all_16_12 = all_12_3 % 50.00/7.92 (3) ~ (all_12_3 = e10) % 50.00/7.92 (4) all_16_12 = e12 | all_16_12 = e11 | all_16_12 = e10 % 50.00/7.92 (5) ~ (all_12_3 = e11) % 50.00/7.92 % 50.00/7.92 Begin of proof % 50.00/7.92 | % 50.00/7.92 | BETA: splitting (4) gives: % 50.00/7.92 | % 50.00/7.92 | Case 1: % 50.00/7.92 | | % 50.00/7.92 | | (6) all_16_12 = e12 % 50.00/7.92 | | % 50.00/7.92 | | COMBINE_EQS: (2), (6) imply: % 50.00/7.92 | | (7) all_12_3 = e12 % 50.00/7.92 | | % 50.00/7.92 | | REDUCE: (1), (7) imply: % 50.00/7.92 | | (8) $false % 50.00/7.92 | | % 50.00/7.92 | | CLOSE: (8) is inconsistent. % 50.00/7.92 | | % 50.00/7.92 | Case 2: % 50.00/7.92 | | % 50.00/7.92 | | (9) all_16_12 = e11 | all_16_12 = e10 % 50.00/7.92 | | % 50.00/7.92 | | BETA: splitting (9) gives: % 50.00/7.92 | | % 50.00/7.92 | | Case 1: % 50.00/7.92 | | | % 50.00/7.92 | | | (10) all_16_12 = e11 % 50.00/7.92 | | | % 50.00/7.92 | | | COMBINE_EQS: (2), (10) imply: % 50.00/7.92 | | | (11) all_12_3 = e11 % 50.00/7.92 | | | % 50.00/7.92 | | | REDUCE: (5), (11) imply: % 50.00/7.92 | | | (12) $false % 50.00/7.92 | | | % 50.00/7.92 | | | CLOSE: (12) is inconsistent. % 50.00/7.92 | | | % 50.00/7.92 | | Case 2: % 50.00/7.92 | | | % 50.00/7.92 | | | (13) all_16_12 = e10 % 50.00/7.92 | | | % 50.00/7.92 | | | COMBINE_EQS: (2), (13) imply: % 50.00/7.92 | | | (14) all_12_3 = e10 % 50.00/7.92 | | | % 50.00/7.92 | | | REDUCE: (3), (14) imply: % 50.00/7.92 | | | (15) $false % 50.00/7.92 | | | % 50.00/7.92 | | | CLOSE: (15) is inconsistent. % 50.00/7.92 | | | % 50.00/7.92 | | End of split % 50.00/7.92 | | % 50.00/7.92 | End of split % 50.00/7.92 | % 50.00/7.92 End of proof % 50.00/7.92 % 50.00/7.92 Sub-proof #24 shows that the following formulas are inconsistent: % 50.00/7.92 ---------------------------------------------------------------- % 50.00/7.92 (1) all_16_12 = all_12_3 % 50.00/7.92 (2) all_16_12 = e13 % 50.00/7.92 (3) ~ (all_12_3 = e13) % 50.00/7.92 % 50.00/7.92 Begin of proof % 50.00/7.92 | % 50.00/7.92 | COMBINE_EQS: (1), (2) imply: % 50.00/7.92 | (4) all_12_3 = e13 % 50.00/7.92 | % 50.00/7.92 | SIMP: (4) implies: % 50.00/7.92 | (5) all_12_3 = e13 % 50.00/7.92 | % 50.00/7.92 | REDUCE: (3), (5) imply: % 50.00/7.92 | (6) $false % 50.00/7.92 | % 50.00/7.92 | CLOSE: (6) is inconsistent. % 50.00/7.92 | % 50.00/7.92 End of proof % 50.00/7.92 % 50.00/7.92 Sub-proof #25 shows that the following formulas are inconsistent: % 50.00/7.92 ---------------------------------------------------------------- % 50.00/7.92 (1) all_20_1 = e21 % 50.00/7.92 (2) all_20_1 = e20 % 50.00/7.92 (3) ~ (e21 = e20) % 50.00/7.92 % 50.00/7.92 Begin of proof % 50.00/7.92 | % 50.00/7.92 | COMBINE_EQS: (1), (2) imply: % 50.00/7.92 | (4) e21 = e20 % 50.00/7.92 | % 50.00/7.92 | SIMP: (4) implies: % 50.00/7.92 | (5) e21 = e20 % 50.00/7.92 | % 50.00/7.92 | REDUCE: (3), (5) imply: % 50.00/7.92 | (6) $false % 50.00/7.92 | % 50.00/7.92 | CLOSE: (6) is inconsistent. % 50.00/7.92 | % 50.00/7.92 End of proof % 50.00/7.92 % 50.00/7.92 Sub-proof #26 shows that the following formulas are inconsistent: % 50.00/7.92 ---------------------------------------------------------------- % 50.00/7.92 (1) all_20_0 = e22 % 50.00/7.92 (2) all_20_0 = e20 % 50.00/7.92 (3) ~ (e22 = e20) % 50.00/7.92 % 50.00/7.92 Begin of proof % 50.00/7.92 | % 50.00/7.92 | COMBINE_EQS: (1), (2) imply: % 50.00/7.92 | (4) e22 = e20 % 50.00/7.92 | % 50.00/7.92 | SIMP: (4) implies: % 50.00/7.92 | (5) e22 = e20 % 50.00/7.92 | % 50.00/7.92 | REDUCE: (3), (5) imply: % 50.00/7.92 | (6) $false % 50.00/7.92 | % 50.00/7.92 | CLOSE: (6) is inconsistent. % 50.00/7.92 | % 50.00/7.92 End of proof % 50.00/7.92 % SZS output end Proof for theBenchmark % 50.00/7.92 % 50.00/7.92 7324ms %------------------------------------------------------------------------------